Source Code

This is a reconstructed version of Luminary 130, the initial AGC program released in November 1969 for the Apollo 13 LM. Three more releases followed before the flown revision was finally manufactured in February 1970.

This reconstruction was created from a previous transcription of the original listing of Luminary 131, combined with Luminary memo #129 which describes the small difference between the Luminary 130 and 131. The reconstructed source code was verified by matching memory-bank checksums to those listed for Luminary 130 in drawing 2021152G.

In this source code, program comments from the original (Luminary 131) code are prefixed with '#', while those added later by the Virtual AGC project are prefixed with '##'.

048642,000002:                                                                                                  ## Copyright:   Public domain.
048643,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
048644,000004:                                                                                                  ## Purpose:     A section of the reconstructed source code for Luminary 130.
048645,000005:                                                                                                  ##              This was the original program released for the Apollo 13 LM,
048646,000006:                                                                                                  ##              although several more revisions would follow. It has been
048647,000007:                                                                                                  ##              reconstructed from a listing of Luminary 131, from which it
048648,000008:                                                                                                  ##              differs on only two lines in P70-P71. The difference is
048649,000009:                                                                                                  ##              described in detail in Luminary memo #129, which was used
048650,000010:                                                                                                  ##              to perform the reconstruction. This file is intended to be a
048651,000011:                                                                                                  ##              faithful reconstruction, except that the code format has been
048652,000012:                                                                                                  ##              changed to conform to the requirements of the yaYUL assembler
048653,000013:                                                                                                  ##              rather than the original YUL assembler.
048654,000014:                                                                                                  ## Reference:   pp. 1153-1197
048655,000015:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
048656,000016:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
048657,000017:                                                                                                  ## Mod history: 06/01/03 RSB.   Began transcribing.
048658,000018:                                                                                                  ##              05/14/05 RSB    Corrected website reference above.
048659,000019:                                                                                                  ##              2010-08-24 JL   Fixed page 1162 number.
048660,000020:                                                                                                  ##              2017-01-06 RSB  Page numbers now agree with those on the
048661,000021:                                                                                                  ##                              original hardcopy, as opposed to the PDF page
048662,000022:                                                                                                  ##                              numbers in 1701.pdf.
048663,000023:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH.
048664,000024:                                                                                                  ##              2017-02-27 RSB  Proofed comment text using octopus/ProoferComments.
048665,000025:                                                                                                  ##              2017-03-01 RSB  Fixed lingering comment-text typos.
048666,000026:                                                                                                  ##                              Added in ##-comments with hyperlinks for some of the
048667,000027:                                                                                                  ##                              documents reference in the code comments.  (Just as
048668,000028:                                                                                                  ##                              an experiment; I didn't do it systematically.)
048669,000029:                                                                                                  ##              2017-03-14 RSB  Comment-text fixes noted in proofing Luminary 116.
048670,000030:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
048671,000031:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
048672,000032:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
048673,000033:                                                                                                  ##                              Luminary 99 vs Comanche 55.
048674,000034:                                                                                                  ##              2018-09-04 MAS  Copied from Luminary 131 for Luminary 130.
048675,000035: 

Page 1153

048677,000037:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
048678,000038:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048679,000039:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048680,000040: 
048681,000041:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048682,000042:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
048683,000043:                                                                                                  #        INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
048684,000044:                                                                                                  #        5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
048685,000045:                                                                                                  #        RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
048686,000046:                                                                                                  #        INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
048687,000047:                                                                                                  #        EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
048688,000048:                                                                                                  #        THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
048689,000049:                                                                                                  #        DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
048690,000050:                                                                                                  #        TINES APPROPRIATELY.
048691,000051: 
048692,000052:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
048693,000053:                                                                                                  #        BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
048694,000054:                                                                                                  #        DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
048695,000055: 
048696,000056:                                                                                                  #  RESTRICTIONS -
048697,000057:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
048698,000058:                                                                                                  #        LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
048699,000059:                                                                                                  #        TORIES COULD BE HANDLED.
048700,000060: 
048701,000061:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
048702,000062:                                                                                                  #        THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
048703,000063:                                                                                                  #        TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
048704,000064: 

Page 1154

048706,000066:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
048707,000067:                                                                                                  #  MOD NO. -1                                                    LOG SECTION - CONIC SUBROUTINES
048708,000068:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
048709,000069:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
048710,000070:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
048711,000071:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
048712,000072: 
048713,000073:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048714,000074:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
048715,000075:                                                                                                  #        BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
048716,000076:                                                                                                  #        SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON. THE
048717,000077:                                                                                                  #        USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
048718,000078:                                                                                                  #        INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
048719,000079:                                                                                                  #        TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
048720,000080: 
048721,000081:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
048722,000082:                                                                                                  #        EXTRAPOLATING THE POSITION BACKWARD IN TIME.
048723,000083: 
048724,000084:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
048725,000085:                                                                                                  #        MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
048726,000086: 
048727,000087:                                                                                                  #  THE RESTRICTIONS ARE -
048728,000088:                                                                                                  #        1.      (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
048729,000089:                                                                                                  #        2.      THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
048730,000090:                                                                                                  #                ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048731,000091: 
048732,000092:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
048733,000093:                                                                                                  #        GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
048734,000094:                                                                                                  #        FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
048735,000095: 

You can find some the references mentioned herein at:

048737,000097:                                                                                                  #  REFERENCES -
048738,000098:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
048739,000099:                                                                                                  #        MEMO 67-4.
048740,000100: 
048741,000101:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048742,000102: 
048743,000103:                                                                                                  #                * SCALE FACTOR *
048744,000104:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048745,000105:                                                                                                  #        --------*--------------*                         -----------------------
048746,000106:                                                                                                  #        RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048747,000107:                                                                                                  #                * +27 FOR MOON *

Page 1155

048749,000109:                                                                                                  #        VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048750,000110:                                                                                                  #                * +5 FOR MOON  *
048751,000111:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048752,000112:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
048753,000113:                                                                                                  #        TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
048754,000114:                                                                                                  #                *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
048755,000115:                                                                                                  #        XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS).  SIGN SHOULD AGREE WITH THAT OF TAU.
048756,000116:                                                                                                  #                * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
048757,000117:                                                                                                  #                *              *    MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
048758,000118:                                                                                                  #                *              *    BY KEPLER TO A POOR BUT VALID GUESS.
048759,000119:                                                                                                  #        TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
048760,000120:                                                                                                  #        XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
048761,000121:                                                                                                  #                * +16 FOR MOON *    ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
048762,000122: 
048763,000123:                                                                                                  #  SUBROUTINES CALLED -
048764,000124:                                                                                                  #        DELTIME
048765,000125: 
048766,000126:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048767,000127:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048768,000128:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC.  PL IS AT 0.
048769,000129:                                                                                                  #        KEPRTN          ...                     CONTINUE
048770,000130: 
048771,000131:                                                                                                  #        KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
048772,000132:                                                                                                  #        THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
048773,000133:                                                                                                  #        ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
048774,000134: 
048775,000135:                                                                                                  #  ABORT EXIT MODES -
048776,000136:                                                                                                  #        NONE
048777,000137: 
048778,000138:                                                                                                  #  OUTPUT -
048779,000139:                                                                                                  #                * SCALE FACTOR *
048780,000140:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048781,000141:                                                                                                  #        --------*--------------*                         -----------------------
048782,000142:                                                                                                  #        RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
048783,000143:                                                                                                  #                * +27 FOR MOON *
048784,000144:                                                                                                  #        VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
048785,000145:                                                                                                  #                * +5 FOR MOON  *
048786,000146:                                                                                                  #        TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED.  ALWAYS LESS THAN ONE PERIOD.
048787,000147:                                                                                                  #        XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED.  ALWAYS LESS THAN THE X
048788,000148:                                                                                                  #                * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1156

048790,000150:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048791,000151: 
048792,000152:                                                                                                  #  DEBRIS -
048793,000153: 
048794,000154:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048795,000155: 
048796,000156:                                                                                                  #                * SCALE FACTOR *
048797,000157:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048798,000158:                                                                                                  #        --------*--------------*                         -----------------------
048799,000159:                                                                                                  #        URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
048800,000160:                                                                                                  #        R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
048801,000161:                                                                                                  #                * +27 FOR MOON *
048802,000162:                                                                                                  #        ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
048803,000163:                                                                                                  #                * -20 FOR MOON *
048804,000164:                                                                                                  #        TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN CENTISECS.  WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
048805,000165:                                                                                                  #                *              *TAU. OF LESS THAN ONE PERIOD.
048806,000166: 
048807,000167:                                                                                                  #  PARAMETERS OF NO USE -
048808,000168:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
048809,000169: 

Page 1157

048811,000171:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
048812,000172:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048813,000173:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048814,000174: 
048815,000175:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048816,000176:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
048817,000177:                                                                                                  #        FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
048818,000178:                                                                                                  #        A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
048819,000179:                                                                                                  #        SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
048820,000180:                                                                                                  #        CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
048821,000181:                                                                                                  #        UTILIZED IN THE COMPUTATION.
048822,000182: 
048823,000183:                                                                                                  #  THE RESTRICTIONS ARE -
048824,000184:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
048825,000185:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
048826,000186:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048827,000187:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048828,000188:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
048829,000189:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
048830,000190:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048831,000191: 
048832,000192:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
048833,000193:                                                                                                  #        GUESS OF THE INDEPENDENT VARIABLE, COGA.                           THE AGC COMPUTATION TIME IS APPROXIMATE-
048834,000194:                                                                                                  #        LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
048835,000195: 

You can find some the references mentioned herein at:

048837,000197:                                                                                                  #  REFERENCES -
048838,000198:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
048839,000199:                                                                                                  #        SGA MEMO 67-4.
048840,000200: 
048841,000201:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048842,000202: 
048843,000203:                                                                                                  #                * SCALE FACTOR *
048844,000204:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048845,000205:                                                                                                  #        --------*--------------*                         -----------------------
048846,000206:                                                                                                  #        R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048847,000207:                                                                                                  #                * +27 FOR MOON *
048848,000208:                                                                                                  #        R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
048849,000209:                                                                                                  #                * +27 FOR MOON *
048850,000210:                                                                                                  #        TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
048851,000211:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048852,000212:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
048853,000213:                                                                                                  #        GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
048854,000214:                                                                                                  #        GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1158

048856,000216:                                                                                                  #                *              *COGA IS TO BE USED BY LAMBERT
048857,000217:                                                                                                  #        COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
048858,000218:                                                                                                  #                               *IGNORED IF GUESSW IS SET.
048859,000219:                                                                                                  #        NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
048860,000220:                                                                                                  #                *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
048861,000221:                                                                                                  #        UN      * +1           *DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
048862,000222:                                                                                                  #                *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
048863,000223:                                                                                                  #        VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
048864,000224:                                                                                                  #                *              *AT R1VEC.
048865,000225:                                                                                                  #        ITERCTR * NONE         *A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
048866,000226:                                                                                                  #                *              *(AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME).  AT LEAST ONE OF THESE MUST
048867,000227:                                                                                                  #                *              *ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
048868,000228:                                                                                                  #                *              *TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
048869,000229: 
048870,000230:                                                                                                  #  SUBROUTINES CALLED -
048871,000231:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
048872,000232: 
048873,000233:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048874,000234:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048875,000235:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
048876,000236:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
048877,000237:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
048878,000238:                                                                                                  #        L+3             SOLNSW
048879,000239:                                                                                                  #        L+4             LAMABORT
048880,000240: 
048881,000241:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
048882,000242:                                                                                                  #        GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
048883,000243: 
048884,000244:                                                                                                  #  ABORT EXIT MODES -
048885,000245:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
048886,000246:                                                                                                  #        WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
048887,000247:                                                                                                  #        ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
048888,000248:                                                                                                  #        LAMABORT        DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
048889,000249:                                                                                                  #                                1-CSTH          360 DEGREES.
048890,000250:                                                                                                  #                        DSU     BMN
048891,000251:                                                                                                  #                                ONEBIT
048892,000252:                                                                                                  #                                CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
048893,000253:                                                                                                  #                        DLOAD   DAD
048894,000254:                                                                                                  #                                TDESIRED
048895,000255:                                                                                                  #                                SOMETIME
048896,000256:                                                                                                  #                        STCALL  TDESIRED        INCREASE TDESIRED
048897,000257:                                                                                                  #                                LAMBERT
048898,000258: 

Page 1159

048900,000260:                                                                                                  #  OUTPUT -
048901,000261:                                                                                                  #                * SCALE FACTOR *
048902,000262:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048903,000263:                                                                                                  #        --------*--------------*                         -----------------------
048904,000264:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
048905,000265:                                                                                                  #                * +5 FOR MOON  *PROBLEM.
048906,000266:                                                                                                  #        VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
048907,000267:                                                                                                  #                * +5 FOR MOON  *
048908,000268:                                                                                                  #        SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
048909,000269:                                                                                                  #                *              *SOLUTION EXISTS.
048910,000270: 
048911,000271:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048912,000272: 
048913,000273:                                                                                                  #  DEBRIS -
048914,000274:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048915,000275:                                                                                                  #                * SCALE FACTOR *
048916,000276:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048917,000277:                                                                                                  #        --------*--------------*                         -----------------------
048918,000278:                                                                                                  #        SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
048919,000279:                                                                                                  #        CSTH    * +1           *DP COSINE OF ANGLE
048920,000280:                                                                                                  #        1-CSTH  * +2           *DP 1-CSTH
048921,000281:                                                                                                  #        COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
048922,000282:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
048923,000283:                                                                                                  #        R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
048924,000284:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
048925,000285:                                                                                                  #                * +27 FOR MOON *
048926,000286:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF R1VEC
048927,000287:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF R2VEC
048928,000288: 
048929,000289:                                                                                                  #        PARAMETERS OF NO USE
048930,000290:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
048931,000291:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
048932,000292: 

Page 1160

048934,000294:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
048935,000295:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048936,000296:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048937,000297: 
048938,000298:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048939,000299:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
048940,000300:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
048941,000301:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
048942,000302:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048943,000303:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048944,000304:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048945,000305: 
048946,000306:                                                                                                  #  THE RESTRICTIONS ARE -
048947,000307:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048948,000308:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048949,000309:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048950,000310:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048951,000311: 
048952,000312:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
048953,000313: 

You can find some the references mentioned herein at:

048955,000315:                                                                                                  #  REFERENCES -
048956,000316:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
048957,000317: 
048958,000318:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048959,000319:                                                                                                  #                * SCALE FACTOR *
048960,000320:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048961,000321:                                                                                                  #        --------*--------------*                         -----------------------
048962,000322:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048963,000323:                                                                                                  #                * +27 FOR MOON *
048964,000324:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048965,000325:                                                                                                  #                * +5 FOR MOON  *
048966,000326:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
048967,000327:                                                                                                  #        CSTH    * +1           *DP COSINE OF THE ANGLE
048968,000328:                                                                                                  #        RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
048969,000329:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
048970,000330:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048971,000331:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
048972,000332: 
048973,000333:                                                                                                  #  SUBROUTINES CALLED -

Page 1161

048975,000335:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
048976,000336: 
048977,000337:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048978,000338:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
048979,000339:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048980,000340:                                                                                                  #        L+1             RVSW
048981,000341:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
048982,000342:                                                                                                  #        L+3     ...                     CONTINUE
048983,000343: 
048984,000344:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
048985,000345:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048986,000346:                                                                                                  #        L+1             RVSW
048987,000347:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
048988,000348:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
048989,000349:                                                                                                  #        L+3     STOVL   NEWVVEC
048990,000350:                                                                                                  #        L+4     STADR
048991,000351:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
048992,000352:                                                                                                  #        L+6     ...                     CONTINUE
048993,000353: 
048994,000354:                                                                                                  #  ABORT EXIT MODES -
048995,000355:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
048996,000356:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
048997,000357: 
048998,000358:                                                                                                  #  OUTPUT -
048999,000359:                                                                                                  #                * SCALE FACTOR *
049000,000360:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049001,000361:                                                                                                  #        --------*--------------*                         -----------------------
049002,000362:                                                                                                  #        T(30D)  * +28          *DP TRANSFER TIME IN CENTISECONDS
049003,000363:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
049004,000364:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049005,000365:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049006,000366:                                                                                                  #                *              *CLEAR IF NOT.
049007,000367: 
049008,000368:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049009,000369: 
049010,000370:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049011,000371:                                                                                                  #         MPAC +5* +5 FOR MOON  *
049012,000372:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049013,000373:                                                                                                  #                * +27 FOR MOON *
049014,000374: 
049015,000375:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049016,000376: 

Page 1162

049018,000378:                                                                                                  #  DEBRIS -
049019,000379:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049020,000380:                                                                                                  #                * SCALE FACTOR *
049021,000381:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049022,000382:                                                                                                  #        --------*--------------*                         -----------------------
049023,000383:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049024,000384:                                                                                                  #                * +27 FOR MOON *
049025,000385:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049026,000386:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049027,000387:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049028,000388:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
049029,000389:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
049030,000390:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
049031,000391: 
049032,000392:                                                                                                  #  PARAMETERS OF NO USE -
049033,000393:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049034,000394:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049035,000395: 

Page 1163

049037,000397:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
049038,000398:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
049039,000399:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
049040,000400: 
049041,000401:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049042,000402:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
049043,000403:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049044,000404:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049045,000405:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049046,000406:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049047,000407:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049048,000408: 
049049,000409:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
049050,000410:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
049051,000411: 
049052,000412:                                                                                                  #  THE RESTRICTIONS ARE -
049053,000413:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049054,000414:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049055,000415:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049056,000416:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049057,000417:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
049058,000418:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
049059,000419:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
049060,000420: 
049061,000421:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
049062,000422: 

You can find some the references mentioned herein at:

049064,000424:                                                                                                  #  REFERENCES -
049065,000425:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049066,000426: 
049067,000427:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049068,000428:                                                                                                  #                * SCALE FACTOR *
049069,000429:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049070,000430:                                                                                                  #        --------*--------------*                         -----------------------
049071,000431:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049072,000432:                                                                                                  #                * +27 FOR MOON *
049073,000433:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049074,000434:                                                                                                  #                * +5 FOR MOON  *
049075,000435:                                                                                                  #        RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
049076,000436:                                                                                                  #                * +27 FOR MOON *COMPUTED.
049077,000437:                                                                                                  #        SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
049078,000438:                                                                                                  #                *              *POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1164

049080,000440:                                                                                                  #                *              *SINGLE-VALUED PROBLEM.
049081,000441:                                                                                                  #        X1 (38D)*       NONE   *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049082,000442:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
049083,000443:                                                                                                  #        RVSW    *       NONE   *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049084,000444:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
049085,000445: 
049086,000446:                                                                                                  #  SUBROUTINES CALLED -
049087,000447:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049088,000448: 
049089,000449:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049090,000450:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049091,000451:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049092,000452:                                                                                                  #        L+1             RVSW
049093,000453:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
049094,000454:                                                                                                  #        L+3     ...                     CONTINUE
049095,000455: 
049096,000456:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049097,000457:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049098,000458:                                                                                                  #        L+1             RVSW
049099,000459:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049100,000460:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049101,000461:                                                                                                  #        L+3     STOVL   NEWVVEC
049102,000462:                                                                                                  #        L+4     STADR
049103,000463:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049104,000464:                                                                                                  #        L+6     ...                     CONTINUE
049105,000465: 
049106,000466:                                                                                                  #  ABORT EXIT MODES -
049107,000467:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
049108,000468:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
049109,000469: 
049110,000470:                                                                                                  #  OUTPUT -
049111,000471:                                                                                                  #                * SCALE FACTOR *
049112,000472:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049113,000473:                                                                                                  #        --------*--------------*                         -----------------------
049114,000474:                                                                                                  #        T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
049115,000475:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
049116,000476:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049117,000477:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049118,000478:                                                                                                  #                *              *CLEAR IF NOT.
049119,000479:                                                                                                  #        APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1165

049121,000481:                                                                                                  #                *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
049122,000482:                                                                                                  #                *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
049123,000483:                                                                                                  #                *              *APOCENTER.
049124,000484:                                                                                                  #        SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
049125,000485:                                                                                                  #                               *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
049126,000486:                                                                                                  #                               *MINUS-18, THE SWITCH IS CLEAR.
049127,000487: 
049128,000488:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049129,000489:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049130,000490:                                                                                                  #         MPAC +5* +5 FOR MOON  *
049131,000491:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049132,000492:                                                                                                  #                * +27 FOR MOON *
049133,000493: 
049134,000494:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049135,000495: 
049136,000496:                                                                                                  #  DEBRIS -
049137,000497:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049138,000498:                                                                                                  #                * SCALE FACTOR *
049139,000499:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049140,000500:                                                                                                  #        --------*--------------*                         -----------------------
049141,000501:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049142,000502:                                                                                                  #                * +27 FOR MOON *
049143,000503:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049144,000504:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049145,000505:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049146,000506:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
049147,000507:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
049148,000508:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
049149,000509:                                                                                                  #        CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
049150,000510:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
049151,000511: 
049152,000512:                                                                                                  #        PARAMETERS OF NO USE -
049153,000513:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049154,000514:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049155,000515: 
049156,000516: 

Page 1166

049158,000518:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
049159,000519:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
049160,000520:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
049161,000521: 
049162,000522:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049163,000523:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
049164,000524:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
049165,000525:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049166,000526:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049167,000527:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049168,000528: 
049169,000529:                                                                                                  #  THE RESTRICTIONS ARE -
049170,000530:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
049171,000531:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
049172,000532:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049173,000533:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049174,000534:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
049175,000535: 

You can find some the references mentioned herein at:

049177,000537:                                                                                                  #  REFERENCES -
049178,000538:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
049179,000539: 
049180,000540:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049181,000541:                                                                                                  #                * SCALE FACTOR *
049182,000542:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049183,000543:                                                                                                  #        --------*--------------*                         -----------------------
049184,000544:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049185,000545:                                                                                                  #                * +27 FOR MOON *
049186,000546:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049187,000547:                                                                                                  #                * +5 FOR MOON  *
049188,000548:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049189,000549:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
049190,000550: 
049191,000551:                                                                                                  #  SUBROUTINES CALLED -
049192,000552:                                                                                                  #        PARAM, GEOM
049193,000553: 
049194,000554:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1167

049196,000556:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049197,000557:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049198,000558:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
049199,000559:                                                                                                  #        L+2     STODL   APOAPSE
049200,000560:                                                                                                  #        L+3             0D
049201,000561:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
049202,000562:                                                                                                  #        L+5     ...                     CONTINUE
049203,000563: 
049204,000564:                                                                                                  #  OUTPUT -
049205,000565:                                                                                                  #                * SCALE FACTOR *
049206,000566:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049207,000567:                                                                                                  #        --------*--------------*                         -----------------------
049208,000568:                                                                                                  #        MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
049209,000569:                                                                                                  #                * +27 FOR MOON *
049210,000570:                                                                                                  #        0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
049211,000571:                                                                                                  #                * +27 FOR MOON *
049212,000572:                                                                                                  #        ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
049213,000573:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049214,000574: 
049215,000575:                                                                                                  #  DEBRIS -
049216,000576:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049217,000577:                                                                                                  #                * SCALE FACTOR *
049218,000578:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049219,000579:                                                                                                  #        --------*--------------*                         -----------------------
049220,000580:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049221,000581:                                                                                                  #                * +27 FOR MOON *
049222,000582:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049223,000583:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049224,000584:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049225,000585:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
049226,000586:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
049227,000587:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
049228,000588:                                                                                                  #        MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
049229,000589:                                                                                                  #                * +5 FOR MOON  *
049230,000590: 
049231,000591:                                                                                                  #        PARAMETERS OF NO USE -
049232,000592:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
049233,000593:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
049234,000594: 
049235,000595: 12,2000                                           SETLOC   CONICS                                

Page 1168

049237,000597: 12,2000                                           BANK                                           
049238,000598: 
049239,000599: 12,2023                                           COUNT*   $$/CONIC                              
049240,000600: 12,2023  E5,1721                                  EBANK=   UR1                                   
049241,000601: 12,2023           40001        KEPLERN            SETPD    BOV                                   
049242,000602: 12,2024           00001                                    0                                     
049243,000603: 12,2025           24026                                    +1                                    
049244,000604: 12,2026           77773                           VLOAD*                                         
049245,000605: 12,2027           10005                                    MUTABLE,1                             
049246,000606: 12,2030           24017                           STOVL    14D                                   
049247,000607: 12,2031           01503                                    RRECT                                 
049248,000608: 12,2032           66256                           UNIT     SSP                                   
049249,000609: 12,2033           00027                                    ITERCTR                               
049250,000610: 12,2034           00024                                    20D                                   
049251,000611: 12,2035           16647                           STODL    URRECT                                
049252,000612: 12,2036           00045                                    36D                                   
049253,000613: 12,2037           24041                           STOVL    R1                                    
049254,000614: 12,2040           01503                                    RRECT                                 
049255,000615: 12,2041           76441                           DOT      SL1R                                  
049256,000616: 12,2042           01511                                    VRECT                                 
049257,000617: 12,2043           76405                           DMP      SL1R                                  
049258,000618: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
049259,000619: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
049260,000620: 12,2046           01511                                    VRECT                                 
049261,000621: 12,2047           57236                           VSQ      DMPR                                  
049262,000622: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
049263,000623: 12,2051           52405                           DMP      SL3                                   
049264,000624: 12,2052           00041                                    R1                                    
049265,000625: 12,2053           61425                           DSU      ROUND                                 
049266,000626: 12,2054           11001                                    D1/64                                 
049267,000627: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
049268,000628: 
049269,000629: 12,2056           74421                           BDSU     SR1R                                  
049270,000630: 12,2057           11001                                    D1/64                                 
049271,000631: 12,2060           77671                           DDV                                            
049272,000632: 12,2061           00041                                    R1                                    
049273,000633: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
049274,000634: 
049275,000635: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
049276,000636: 12,2064           24073                                    1REV                                  
049277,000637: 12,2065           11017                                    -50SC                                 #  -50SC (+12)
049278,000638: 12,2066           40071                           DDV      BOV                                   
049279,000639: 12,2067           00011                                    ALPHA                                 
049280,000640: 12,2070           24077                                    STOREMAX                              
049281,000641: 12,2071           52166                           SQRT     GOTO                                  
049282,000642: 12,2072           24077                                    STOREMAX                              
049283,000643: 
049284,000644: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1169

049286,000646: 12,2074           11021                                    2PISC                                 #  2PISC (+6)
049287,000647: 12,2075           77600                           BOV                                            
049288,000648: 12,2076           24077                                    STOREMAX                              
049289,000649: 12,2077           00013        STOREMAX           STORE    XMAX                                  
049290,000650: 12,2100           65205                           DMP      PDDL                                  
049291,000651: 12,2101           00023                                    1/ROOTMU                              
049292,000652: 12,2102           00011                                    ALPHA                                 
049293,000653: 12,2103           65301                           NORM     PDDL                                  
049294,000654: 12,2104           00047                                    X1                                    
049295,000655: 12,2105           56257                           SL*      DDV                                   
049296,000656: 12,2106           20173                                    0          -6,1                       
049297,000657: 12,2107           50000                           BOV      BMN                                   
049298,000658: 12,2110           24124                                    MODDONE                               
049299,000659: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
049300,000660: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
049301,000661: 12,2113           02074                                    TAU.                                  
049302,000662: 12,2114           50025                           DSU      BMN                                   
049303,000663: 12,2115           00001                                    0D                                    
049304,000664: 12,2116           24124                                    MODDONE                               
049305,000665: 12,2117           77765                           SIGN                                           
049306,000666: 12,2120           02074                                    TAU.                                  
049307,000667: 12,2121           16074                           STODL    TAU.                                  
049308,000668: 12,2122           77650                           GOTO                                           
049309,000669: 12,2123           24112                                    PERIODCH                              
049310,000670: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
049311,000671: 12,2125           00001                                    0                                     
049312,000672: 12,2126           02130                                    XKEPNEW                               
049313,000673: 12,2127           00025                           STORE    X                                     
049314,000674: 12,2130           53165                           SIGN     BZE                                   
049315,000675: 12,2131           02074                                    TAU.                                  
049316,000676: 12,2132           24302                                    BADX                                  
049317,000677: 12,2133           51440                           BMN      ABS                                   
049318,000678: 12,2134           24302                                    BADX                                  
049319,000679: 12,2135           51025                           DSU      BPL                                   
049320,000680: 12,2136           00013                                    XMAX                                  
049321,000681: 12,2137           24302                                    BADX                                  
049322,000682: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
049323,000683: 12,2141           02074                                    TAU.                                  
049324,000684: 12,2142           24152                                    STOREMIN                              
049325,000685: 12,2143           57545                           DLOAD    DCOMP                                 
049326,000686: 12,2144           00013                                    XMAX                                  
049327,000687: 12,2145           14015                           STODL    XMIN                                  
049328,000688: 12,2146           24007                                    KEPZERO                               
049329,000689: 12,2147           00013                           STORE    XMAX                                  
049330,000690: 12,2150           77650                           GOTO                                           
049331,000691: 12,2151           24155                                    DXCOMP                                
049332,000692: 12,2152           77745        STOREMIN           DLOAD                                          
049333,000693: 12,2153           24007                                    KEPZERO                               
049334,000694: 12,2154           00015                           STORE    XMIN                                  
049335,000695: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1170

049337,000697: 12,2156           02074                                    TAU.                                  
049338,000698: 12,2157           11012                                    BEE22                                 
049339,000699: 12,2160           77646                           ABS                                            
049340,000700: 12,2161           16177                           STODL    EPSILONT                              
049341,000701: 12,2162           01553                                    XPREV                                 
049342,000702: 12,2163           77621        XDIFF              BDSU                                           
049343,000703: 12,2164           00025                                    X                                     
049344,000704: 12,2165           02643                           STORE    DELX                                  
049345,000705: 
049346,000706: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
049347,000707: 12,2167           00025                                    X                                     #  X=XKEP
049348,000708: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049349,000709: 12,2171           00047                                    X1                                    
049350,000710: 12,2172           53605                           DMP      SRR*                                  
049351,000711: 12,2173           00011                                    ALPHA                                 
049352,000712: 12,2174           21573                                    0          -6,1                       
049353,000713: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
049354,000714: 12,2176           24421                                    DELTIME                               
049355,000715: 12,2177           44200                           BOV      BDSU                                  
049356,000716: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
049357,000717: 12,2201           02074                                    TAU.                                  
049358,000718: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
049359,000719: 12,2203           44246                           ABS      BDSU                                  
049360,000720: 12,2204           02177                                    EPSILONT                              
049361,000721: 12,2205           71244                           BPL      DLOAD                                 
049362,000722: 12,2206           24333                                    KEPCONVG                              
049363,000723: 12,2207           00037                                    T                                     
049364,000724: 12,2210           60225                           DSU      NORM                                  
049365,000725: 12,2211           01551                                    TC                                    
049366,000726: 12,2212           00047                                    X1                                    
049367,000727: 12,2213           60325                           PDDL     NORM                                  
049368,000728: 12,2214           02643                                    DELX                                  
049369,000729: 12,2215           00050                                    X2                                    
049370,000730: 12,2216           41260                           XSU,1    DMP                                   
049371,000731: 12,2217           00047                                    X2                                    
049372,000732: 12,2220           02645                                    DELT                                  
049373,000733: 12,2221           56257                           SLR*     DDV                                   
049374,000734: 12,2222           21202                                    1,1                                   
049375,000735: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
049376,000736: 12,2224           71244                           BPL      DLOAD                                 
049377,000737: 12,2225           24246                                    POSDELX                               
049378,000738: 12,2226           00025                                    X                                     
049379,000739: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
049380,000740: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
049381,000741: 12,2231           00015                                    XMIN                                  
049382,000742: 12,2232           51000                           BOV      BPL                                   
049383,000743: 12,2233           24240                                    NDXCHNGE                              
049384,000744: 12,2234           24240                                    NDXCHNGE                              
049385,000745: 12,2235           52145                           DLOAD    GOTO                                  

Page 1171

049387,000747: 12,2236           00001                                    0D                                    
049388,000748: 12,2237           24260                                    NEWDELX                               
049389,000749: 
049390,000750: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
049391,000751: 12,2241           00015                                    XMIN                                  
049392,000752: 12,2242           00025                                    X                                     
049393,000753: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049394,000754: 12,2244           11015                                    DP9/10                                
049395,000755: 12,2245           24260                                    NEWDELX                               
049396,000756: 
049397,000757: 12,2246           77745        POSDELX            DLOAD                                          
049398,000758: 12,2247           00025                                    X                                     
049399,000759: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
049400,000760: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
049401,000761: 12,2252           00013                                    XMAX                                  
049402,000762: 12,2253           50000                           BOV      BMN                                   
049403,000763: 12,2254           24274                                    PDXCHNGE                              
049404,000764: 12,2255           24274                                    PDXCHNGE                              
049405,000765: 12,2256           77745                           DLOAD                                          
049406,000766: 12,2257           00001                                    0D                                    
049407,000767: 12,2260           02643        NEWDELX            STORE    DELX                                  
049408,000768: 12,2261           43254                           BZE      DAD                                   
049409,000769: 12,2262           24333                                    KEPCONVG                              
049410,000770: 12,2263           00025                                    X                                     
049411,000771: 12,2264           14025                           STODL    X                                     
049412,000772: 12,2265           00037                                    T                                     
049413,000773: 12,2266           01551                           STORE    TC                                    
049414,000774: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
049415,000775: 12,2270           24644                                    CHECKCTR                              
049416,000776: 12,2271           24333                                    KEPCONVG                              
049417,000777: 12,2272           77650                           GOTO                                           
049418,000778: 12,2273           24166                                    KEPLOOP                               #  ITERATE
049419,000779: 
049420,000780: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
049421,000781: 12,2275           00013                                    XMAX                                  
049422,000782: 12,2276           00025                                    X                                     
049423,000783: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049424,000784: 12,2300           11015                                    DP9/10                                
049425,000785: 12,2301           24260                                    NEWDELX                               
049426,000786: 
049427,000787: 12,2302           70545        BADX               DLOAD    SR1                                   
049428,000788: 12,2303           00013                                    XMAX                                  
049429,000789: 12,2304           77765                           SIGN                                           
049430,000790: 12,2305           02074                                    TAU.                                  
049431,000791: 12,2306           00025                           STORE    X                                     
049432,000792: 12,2307           77650                           GOTO                                           

Page 1172

049434,000794: 12,2310           24140                                    STORBNDS                              
049435,000795: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
049436,000796: 12,2312           00025                                    X                                     
049437,000797: 12,2313           24330                                    NEGTOVFL                              
049438,000798: 12,2314           00013                           STORE    XMAX                                  
049439,000799: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
049440,000800: 12,2316           02643                                    DELX                                  
049441,000801: 12,2317           02643                           STORE    DELX                                  
049442,000802: 12,2320           44254                           BZE      BDSU                                  
049443,000803: 12,2321           02112                                    KEPRTN                                
049444,000804: 12,2322           00025                                    X                                     
049445,000805: 12,2323           14025                           STODL    X                                     
049446,000806: 12,2324           01551                                    TC                                    
049447,000807: 12,2325           00037                           STORE    T                                     
049448,000808: 12,2326           77650                           GOTO                                           
049449,000809: 12,2327           24267                                    BRNCHCTR                              
049450,000810: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
049451,000811: 12,2331           77650                           GOTO                                           
049452,000812: 12,2332           24315                                    CMNTOVFL                              
049453,000813: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
049454,000814: 12,2334           00041                                    R1                                    
049455,000815: 12,2335           74225                           DSU      VXSC                                  
049456,000816: 12,2336           00035                                    XSQC(XI)                              
049457,000817: 12,2337           02647                                    URRECT                                
049458,000818: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
049459,000819: 12,2341           00025                                    X                                     
049460,000820: 12,2342           60316                           DSQ      NORM                                  
049461,000821: 12,2343           00047                                    X1                                    
049462,000822: 12,2344           57275                           DMPR     DMPR                                  
049463,000823: 12,2345           00023                                    1/ROOTMU                              
049464,000824: 12,2346           00025                                    X                                     
049465,000825: 12,2347           53605                           DMP      SRR*                                  
049466,000826: 12,2350           00033                                    S(XI)                                 
049467,000827: 12,2351           21572                                    0          -7,1                       
049468,000828: 12,2352           77621                           BDSU                                           
049469,000829: 12,2353           00037                                    T                                     
049470,000830: 12,2354           74352                           SL1      VXSC                                  
049471,000831: 12,2355           01511                                    VRECT                                 
049472,000832: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
049473,000833: 12,2357           77712                           VSL4                                           
049474,000834: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
049475,000835: 
049476,000836: 12,2361           60246                           ABVAL    NORM                                  
049477,000837: 12,2362           00050                                    X2                                    
049478,000838: 12,2363           14043                           STODL    RCNORM                                
049479,000839: 12,2364           00031                                    XI                                    
049480,000840: 12,2365           45275                           DMPR     DSU                                   
049481,000841: 12,2366           00033                                    S(XI)                                 
049482,000842: 12,2367           10777                                    D1/128                                

Page 1173

049484,000844: 12,2370           76405                           DMP      SL1R                                  
049485,000845: 12,2371           00021                                    ROOTMU                                
049486,000846: 12,2372           53605                           DMP      SLR*                                  
049487,000847: 12,2373           00025                                    X                                     
049488,000848: 12,2374           56601                                    0          -3,2                       
049489,000849: 12,2375           74271                           DDV      VXSC                                  
049490,000850: 12,2376           00043                                    RCNORM                                
049491,000851: 12,2377           02647                                    URRECT                                
049492,000852: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
049493,000853: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
049494,000854: 12,2402           56257                           SLR*     DDV                                   
049495,000855: 12,2403           56602                                    0          -4,2                       
049496,000856: 12,2404           00043                                    RCNORM                                
049497,000857: 12,2405           74221                           BDSU     VXSC                                  
049498,000858: 12,2406           11013                                    D1/256                                
049499,000859: 12,2407           01511                                    VRECT                                 
049500,000860: 12,2410           42455                           VAD      VSL8                                  
049501,000861: 12,2411           77626                           STADR                                          #                                PL AT 0
049502,000862: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
049503,000863: 12,2413           00037                                    T                                     
049504,000864: 12,2414           15551                           STODL    TC                                    
049505,000865: 12,2415           00025                                    X                                     
049506,000866: 12,2416           01553                           STORE    XPREV                                 
049507,000867: 12,2417           77650                           GOTO                                           
049508,000868: 12,2420           02112                                    KEPRTN                                
049509,000869: 

Page 1174

049511,000871: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
049512,000872: 12,2422           07225                           TC       POLY                                  
049513,000873: 12,2423           00010                           DEC      8          B-14                       
049514,000874: 12,2424           02525 12526                     2DEC     .083333334                            
049515,000875: 12,2426           67356 75666                     2DEC     -.266666684                            
049516,000876: 12,2430           15001 23771                     2DEC     .406349155                            
049517,000877: 12,2432           64342 43674                     2DEC     -.361198675                            
049518,000878: 12,2434           06563 04645                     2DEC     .210153242                            
049519,000879: 12,2436           75173 52672                     2DEC     -.086221951                            
049520,000880: 12,2440           00656 14331                     2DEC     .026268812                            
049521,000881: 12,2442           77633 40512                     2DEC     -.006163316                            
049522,000882: 12,2444           00023 11210                     2DEC     .001177342                            
049523,000883: 12,2446           77774 67506                     2DEC     -.000199055                            
049524,000884: 
049525,000885: 12,2450           06042                           TC       INTPRET                               
049526,000886: 12,2451           14033                           STODL    S(XI)                                 
049527,000887: 12,2452           00031                                    XI                                    
049528,000888: 12,2453           77776                           EXIT                                           
049529,000889: 12,2454           07225                           TC       POLY                                  
049530,000890: 12,2455           00010                           DEC      8          B-14                       
049531,000891: 12,2456           01000 00000                     2DEC     .031250001                            
049532,000892: 12,2460           72525 52506                     2DEC     -.166666719                            
049533,000893: 12,2462           13301 15337                     2DEC     .355555413                            
049534,000894: 12,2464           62776 54733                     2DEC     -.406347410                            
049535,000895: 12,2466           11176 13267                     2DEC     .288962094                            
049536,000896: 12,2470           73410 51674                     2DEC     -.140117894                            
049537,000897: 12,2472           01446 33641                     2DEC     .049247387                            
049538,000898: 12,2474           77451 65233                     2DEC     -.013081923                            
049539,000899: 12,2476           00055 37266                     2DEC     .002806389                            
049540,000900: 12,2500           77767 52336                     2DEC     -.000529414                            
049541,000901: 12,2502           06042                           TC       INTPRET                               

Page 1175

049543,000903: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
049544,000904: 12,2504           00001                                    0D                                    
049545,000905: 12,2505           21574                                    0          -5,1                       
049546,000906: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
049547,000907: 12,2507           72405                           DMP      SL1                                   
049548,000908: 12,2510           00043                                    KEPC1                                 
049549,000909: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
049550,000910: 12,2512           21634                                    TPMODE                                #                                PL AT 0,3
049551,000911: 12,2513           53605                           DMP      SRR*                                  
049552,000912: 12,2514           00033                                    S(XI)                                 
049553,000913: 12,2515           21574                                    0          -5,1                       
049554,000914: 12,2516           72405                           DMP      SL1                                   
049555,000915: 12,2517           00045                                    KEPC2                                 
049556,000916: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
049557,000917: 12,2521           21634                                    TPMODE                                
049558,000918: 12,2522           00041                                    R1                                    
049559,000919: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
049560,000920: 12,2524           20607                                    6                                     
049561,000921: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
049562,000922: 12,2526           00047                                    X1                                    
049563,000923: 12,2527           00025                                    X                                     
049564,000924: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
049565,000925: 12,2531           20576                                    0          -3,1                       
049566,000926: 12,2532           57232                           SL4R     DMPR                                  
049567,000927: 12,2533           00023                                    1/ROOTMU                              
049568,000928: 12,2534           00037                           STORE    T                                     
049569,000929: 12,2535           77616                           RVQ                                            
049570,000930: 

Page 1176

049572,000932: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
049573,000933: 12,2537           00614                                    SLOPESW                               
049574,000934: 12,2540           24606                                    FIRSTIME                              
049575,000935: 12,2541           00037                                    DEP                                   
049576,000936: 12,2542           60225                           DSU      NORM                                  
049577,000937: 12,2543           02762                                    DEPREV                                
049578,000938: 12,2544           00047                                    X1                                    
049579,000939: 12,2545           60325                           PDDL     NORM                                  
049580,000940: 12,2546           00015                                    DELINDEP                              
049581,000941: 12,2547           00050                                    X2                                    
049582,000942: 12,2550           41260                           XSU,1    DMP                                   
049583,000943: 12,2551           00047                                    X2                                    
049584,000944: 12,2552           02760                                    DELDEP                                
049585,000945: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
049586,000946: 12,2554           21202                                    1,1                                   
049587,000947: 12,2555           43142                           SR1      BOFF                                  
049588,000948: 12,2556           04351                                    ORDERSW                               
049589,000949: 12,2557           24562                                    SGNCHECK                              
049590,000950: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
049591,000951: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
049592,000952: 
049593,000953: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
049594,000954: 12,2563           24620                                    POSDEL                                
049595,000955: 12,2564           43145                           DLOAD    BON                                   
049596,000956: 12,2565           02766                                    INDEP                                 
049597,000957: 12,2566           04311                                    ORDERSW                               
049598,000958: 12,2567           24571                                    MINCHECK                              
049599,000959: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
049600,000960: 
049601,000961: 12,2571           45221        MINCHECK           BDSU     DSU                                   
049602,000962: 12,2572           00011                                    MIN                                   
049603,000963: 12,2573           51000                           BOV      BPL                                   
049604,000964: 12,2574           24600                                    MODNGDEL                              
049605,000965: 12,2575           24600                                    MODNGDEL                              
049606,000966: 12,2576           77650                           GOTO                                           
049607,000967: 12,2577           24632                                    DELOK                                 
049608,000968: 
049609,000969: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
049610,000970: 12,2601           00011                                    MIN                                   
049611,000971: 12,2602           02766                                    INDEP                                 
049612,000972: 12,2603           52005                           DMP      GOTO                                  
049613,000973: 12,2604           11015                                    DP9/10                                
049614,000974: 12,2605           24634                                    NEWDEL                                
049615,000975: 
049616,000976: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
049617,000977: 12,2607           00011                                    MIN                                   
049618,000978: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
049619,000979: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1177

049621,000981: 12,2612           00017                                    MAX                                   
049622,000982: 12,2613           00051                                    TWEEKIT                               
049623,000983: 12,2614           77625                           DSU                                            
049624,000984: 12,2615           52165                           SIGN     GOTO                                  
049625,000985: 12,2616           02760                                    DELDEP                                
049626,000986: 12,2617           24562                                    SGNCHECK                              
049627,000987: 
049628,000988: 12,2620           43145        POSDEL             DLOAD    BON                                   
049629,000989: 12,2621           02766                                    INDEP                                 
049630,000990: 12,2622           04311                                    ORDERSW                               
049631,000991: 12,2623           24625                                    MAXCHECK                              
049632,000992: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
049633,000993: 
049634,000994: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
049635,000995: 12,2626           00017                                    MAX                                   
049636,000996: 12,2627           50000                           BOV      BMN                                   
049637,000997: 12,2630           24636                                    MODPSDEL                              
049638,000998: 12,2631           24636                                    MODPSDEL                              
049639,000999: 12,2632           77745        DELOK              DLOAD                                          
049640,001000: 12,2633           00001                                    0D                                    
049641,001001: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
049642,001002: 12,2635           77616                           RVQ                                            
049643,001003: 
049644,001004: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
049645,001005: 12,2637           00017                                    MAX                                   
049646,001006: 12,2640           02766                                    INDEP                                 
049647,001007: 12,2641           52005                           DMP      GOTO                                  
049648,001008: 12,2642           11015                                    DP9/10                                
049649,001009: 12,2643           24634                                    NEWDEL                                
049650,001010: 
049651,001011: 12,2644           44753        CHECKCTR           CS       ONE                                   
049652,001012: 12,2645           50120                           INDEX    FIXLOC                                
049653,001013: 12,2646           60026                           AD       ITERCTR                               
049654,001014: 12,2647           50120                           INDEX    FIXLOC                                
049655,001015: 12,2650           54026                           TS       ITERCTR                               
049656,001016: 12,2651           54154                           TS       MPAC                                  
049657,001017: 12,2652           06064                           TC       DANZIG                                
049658,001018: 

Page 1178

049660,001020: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
049661,001021: 12,2654           00041                                    R1                                    
049662,001022: 12,2655           74225                           DSU      VXSC                                  
049663,001023: 12,2656           00035                                    XSQC(XI)                              
049664,001024: 12,2657           02722                                    UR1                                   
049665,001025: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31)       PL AT 6
049666,001026: 12,2661           00025                                    X                                     
049667,001027: 12,2662           60316                           DSQ      NORM                                  
049668,001028: 12,2663           00047                                    X1                                    
049669,001029: 12,2664           57275                           DMPR     DMPR                                  
049670,001030: 12,2665           00023                                    1/ROOTMU                              
049671,001031: 12,2666           00025                                    X                                     
049672,001032: 12,2667           53605                           DMP      SRR*                                  
049673,001033: 12,2670           00033                                    S(XI)                                 
049674,001034: 12,2671           21572                                    0          -7,1                       
049675,001035: 12,2672           77621                           BDSU                                           
049676,001036: 12,2673           00037                                    T                                     
049677,001037: 12,2674           74352                           SL1      VXSC                                  
049678,001038: 12,2675           02744                                    VVEC                                  
049679,001039: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
049680,001040: 12,2677           41512                           VSL4     PUSH                                  
049681,001041: 12,2700           77646                           ABVAL                                          
049682,001042: 12,2701           77701        LAMENTER           NORM                                           
049683,001043: 12,2702           00047                                    X1                                    
049684,001044: 12,2703           16720                           STODL    R2                                    
049685,001045: 12,2704           00031                                    XI                                    
049686,001046: 12,2705           45205                           DMP      DSU                                   
049687,001047: 12,2706           00033                                    S(XI)                                 
049688,001048: 12,2707           10777                                    D1/128                                
049689,001049: 12,2710           76405                           DMP      SL1R                                  
049690,001050: 12,2711           00021                                    ROOTMU                                
049691,001051: 12,2712           53605                           DMP      SLR*                                  
049692,001052: 12,2713           00025                                    X                                     
049693,001053: 12,2714           21176                                    0          -3,1                       
049694,001054: 12,2715           74271                           DDV      VXSC                                  
049695,001055: 12,2716           02720                                    R2                                    
049696,001056: 12,2717           02722                                    UR1                                   
049697,001057: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
049698,001058: 12,2721           00035                                    XSQC(XI)                              
049699,001059: 12,2722           56257                           SLR*     DDV                                   
049700,001060: 12,2723           21175                                    0          -4,1                       
049701,001061: 12,2724           02720                                    R2                                    
049702,001062: 12,2725           77621                           BDSU                                           
049703,001063: 12,2726           11013                                    D1/256                                
049704,001064: 12,2727           53361                           VXSC     VAD                                   
049705,001065: 12,2730           02744                                    VVEC                                  #                                PL AT 6
049706,001066: 12,2731           43412                           VSL8     RVQ                                   
049707,001067: 

Page 1179

049709,001069: 04,2000                                           SETLOC   CONICS1                               
049710,001070: 04,2000                                           BANK                                           
049711,001071: 
049712,001072: 04,2773                                           COUNT*   $$/CONIC                              
049713,001073:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
049714,001074: 04,2773           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
049715,001075: 04,2774           04000 00000  D1/8               2DEC     1.0        B-3                        
049716,001076: 04,2776           00200 00000  D1/128             2DEC     1.0        B-7                        
049717,001077: 04,3000           00400 00000  D1/64              2DEC     1.0        B-6                        
049718,001078: 04,3002           10000 00000  D1/4               2DEC     1.0        B-2                        
049719,001079: 04,3004           02000 00000  D1/16              2DEC     1.0        B-4                        
049720,001080: 04,3006           01000 00000  D1/32              2DEC     1.0        B-5                        
049721,001081: 04,3010           00020 00000  D1/1024            2DEC     1.0        B-10                       
049722,001082: 04,3012           00100 00000  D1/256             2DEC     1.0        B-8                        
049723,001083: 04,3014           34631 23146  DP9/10             2DEC     .9                                    
049724,001084: 04,3016  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
049725,001085: 04,3016           77467 77777  -50SC              2DEC     -50.0      B-12                       
049726,001086: 04,3020           03110 17665  2PISC              2DEC     6.28318530 B-6                        
049727,001087: 04,3022  04,3005               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
049728,001088: 04,3022  04,3011               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
049729,001089: 04,3022           00000 00001  ONEBIT             2DEC     1.0        B-28                       
049730,001090: 04,3024           37767 37737  COGUPLIM           2DEC     .999511597                            
049731,001091: 04,3026           40010 40040  COGLOLIM           2DEC     -.999511597                            
049732,001092: 

Page 1180

049734,001094: 12,2000                                           SETLOC   CONICS                                
049735,001095: 12,2000                                           BANK                                           
049736,001096: 
049737,001097: 12,2732                                           COUNT*   $$/CONIC                              
049738,001098: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
049739,001099: 12,2733           02710                                    RTNTT                                 
049740,001100: 12,2734           00001                                    0                                     
049741,001101: 12,2735           77600                           BOV                                            
049742,001102: 12,2736           24737                                    +1                                    
049743,001103: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
049744,001104: 12,2740           02655                                    RVEC                                  
049745,001105: 12,2741           02744                                    VVEC                                  
049746,001106: 12,2742           77624                           CALL                                           
049747,001107: 12,2743           11030                                    PARAM                                 
049748,001108: 12,2744           45000                           BOV      CALL                                  
049749,001109: 12,2745           24764                                    COGAOVFL                              #                                PL AT 0
049750,001110: 12,2746           24767                                    GETX                                  
049751,001111: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
049752,001112: 12,2750           00031                                    XI                                    
049753,001113: 12,2751           04310                                    INFINFLG                              
049754,001114: 12,2752           25752                                    ABTCONIC                              
049755,001115: 12,2753           45014                           CLEAR    CALL                                  
049756,001116: 12,2754           04273                                    COGAFLAG                              
049757,001117: 12,2755           24421                                    DELTIME                               
049758,001118: 12,2756           45014                           BON      CALL                                  
049759,001119: 12,2757           03706                                    RVSW                                  
049760,001120: 12,2760           02710                                    RTNTT                                 
049761,001121: 12,2761           24653                                    NEWSTATE                              
049762,001122: 12,2762           77650                           GOTO                                           
049763,001123: 12,2763           02710                                    RTNTT                                 
049764,001124: 
049765,001125: 12,2764           77614        COGAOVFL           SETGO                                          
049766,001126: 12,2765           04033                                    COGAFLAG                              
049767,001127: 12,2766           25752                                    ABTCONIC                              
049768,001128: 
049769,001129: 04,3030                                           BANK     4                                     
049770,001130: 04,2000                                           SETLOC   CONICS1                               
049771,001131: 04,2000                                           BANK                                           
049772,001132: 04,3030                                           COUNT*   $$/CONIC                              
049773,001133: 04,3030           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
049774,001134: 04,3031           02753                                    RTNPRM                                
049775,001135: 04,3032           03665                                    NORMSW                                
049776,001136: 04,3033           77614                           CLEAR                                          
049777,001137: 04,3034           04273                                    COGAFLAG                              
049778,001138: 04,3035           45131                           SSP      CALL                                  
049779,001139: 04,3036           02673                                    GEOMSGN                               
049780,001140: 04,3037           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
049781,001141: 04,3040           11074                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
049782,001142: 04,3041           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
049783,001143: 04,3042           56261                           SR       DDV                                   

Page 1181

049785,001145: 04,3043           20606                                    5                                     
049786,001146: 04,3044           00045                                    36D                                   
049787,001147: 04,3045           32766                           STOVL*   COGA                                  
049788,001148: 04,3046           10005                                    MUTABLE,1                             
049789,001149: 04,3047           14017                           STODL    1/MU                                  
049790,001150: 04,3050           02720                                    MAGVEC2                               
049791,001151: 04,3051           60316                           DSQ      NORM                                  
049792,001152: 04,3052           00047                                    X1                                    
049793,001153: 04,3053           41275                           DMPR     DMP                                   
049794,001154: 04,3054           00017                                    1/MU                                  
049795,001155: 04,3055           00041                                    R1                                    
049796,001156: 04,3056           77657                           SRR*                                           
049797,001157: 04,3057           21576                                    0          -3,1                       
049798,001158: 04,3060           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
049799,001159: 04,3061           11007                                    D1/32                                 
049800,001160: 04,3062           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
049801,001161: 
049802,001162: 04,3063           60205                           DMP      NORM                                  
049803,001163: 04,3064           00045                                    36D                                   
049804,001164: 04,3065           00047                                    X1                                    
049805,001165: 04,3066           53605                           DMP      SR*                                   
049806,001166: 04,3067           00045                                    36D                                   
049807,001167: 04,3070           20575                                    0          -4,1                       
049808,001168: 04,3071           02740                           STORE    P                                     #  P (+4)
049809,001169: 04,3072           77650                           GOTO                                           
049810,001170: 04,3073           02753                                    RTNPRM                                
049811,001171: 

Page 1182

049813,001173: 04,3074           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
049814,001174: 04,3075           16712                           STODL    U2                                    #  U2 (+1)
049815,001175: 04,3076           00045                                    36D                                   
049816,001176: 04,3077           26720                           STOVL    MAGVEC2                               #                                PL AT 0
049817,001177: 04,3100           77656                           UNIT                                           
049818,001178: 04,3101           02722                           STORE    UR1                                   #  UR1 (+1)
049819,001179: 04,3102           72441                           DOT      SL1                                   
049820,001180: 04,3103           02712                                    U2                                    
049821,001181: 04,3104           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
049822,001182: 04,3105           00045                                    36D                                   
049823,001183: 04,3106           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
049824,001184: 04,3107           02722                                    UR1                                   
049825,001185: 04,3110           76435                           VXV      VSL1                                  
049826,001186: 04,3111           02712                                    U2                                    
049827,001187: 04,3112           75214                           BON      SIGN                                  
049828,001188: 04,3113           03705                                    NORMSW                                
049829,001189: 04,3114           11126                                    HAVENORM                              
049830,001190: 04,3115           02673                                    GEOMSGN                               
049831,001191: 04,3116           40056                           UNIT     BOV                                   
049832,001192: 04,3117           11124                                    COLINEAR                              
049833,001193: 04,3120           16674        UNITNORM           STODL    UN                                    #  UN (+1)
049834,001194: 04,3121           00045                                    36D                                   
049835,001195: 04,3122           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049836,001196: 04,3123           02673                                    GEOMSGN                               
049837,001197: 
049838,001198: 04,3124           52162        COLINEAR           VSR1     GOTO                                  
049839,001199: 04,3125           11120                                    UNITNORM                              
049840,001200: 
049841,001201: 04,3126           75246        HAVENORM           ABVAL    SIGN                                  
049842,001202: 04,3127           02673                                    GEOMSGN                               
049843,001203: 04,3130           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049844,001204: 

Page 1183

049846,001206: 12,2767                                           BANK     12                                    
049847,001207: 12,2000                                           SETLOC   CONICS                                
049848,001208: 12,2000                                           BANK                                           
049849,001209: 
049850,001210: 12,2767                                           COUNT*   $$/CONIC                              
049851,001211: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
049852,001212: 12,2770           00003                                    3                                     
049853,001213: 12,2771           00052                                    S2                                    
049854,001214: 12,2772           00001                                    1                                     
049855,001215: 12,2773           77614                           CLEAR                                          
049856,001216: 12,2774           04276                                    360SW                                 
049857,001217: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
049858,001218: 12,2776           02732                                    CSTH                                  
049859,001219: 12,2777           44342                           SR1      BDSU                                  
049860,001220: 12,3000           11003                                    D1/4                                  
049861,001221: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
049862,001222: 12,3002           02730                                    SNTH                                  
049863,001223: 12,3003           21607                                    6                                     
049864,001224: 12,3004           77671                           DDV                                            #                                PL AT 2
049865,001225: 12,3005           77600                           BOV                                            
049866,001226: 12,3006           25122                                    360CHECK                              
049867,001227: 12,3007           41225                           DSU      DMP                                   
049868,001228: 12,3010           02766                                    COGA                                  #                                PL AT 0
049869,001229: 12,3011           40132                           SL2R     BOV                                   
049870,001230: 12,3012           25122                                    360CHECK                              
049871,001231: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
049872,001232: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
049873,001233: 12,3015           00155                                    MPAC                                  
049874,001234: 12,3016           02742                                    R1A                                   
049875,001235: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
049876,001236: 12,3020           75440                           BMN      SQRT                                  
049877,001237: 12,3021           25205                                    INFINITY                              
049878,001238: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
049879,001239: 12,3023           61000                           BOV      TIX,2                                 
049880,001240: 12,3024           25120                                    RESETX2                               
049881,001241: 12,3025           25013                                    WLOOP                                 
049882,001242: 
049883,001243: 12,3026           40065                           BDDV     BOV                                   
049884,001244: 12,3027           10777                                    D1/128                                
049885,001245: 12,3030           25205                                    INFINITY                              
049886,001246: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
049887,001247: 12,3032           25205                                    INFINITY                              
049888,001248: 12,3033           77716                           DSQ                                            
049889,001249: 12,3034           41301                           NORM     DMP                                   
049890,001250: 12,3035           00047                                    X1                                    
049891,001251: 12,3036           02742                                    R1A                                   
049892,001252: 12,3037           77457                           SRR*     EXIT                                  
049893,001253: 12,3040           21567                                    0          -10D,1                     
049894,001254: 12,3041           07225                           TC       POLY                                  

Page 1184

049896,001256: 12,3042           00005                           DEC      5          B-14                       
049897,001257: 12,3043           20000 00000                     2DEC     .5                                    
049898,001258: 12,3045           72525 52471                     2DEC     -.166666770                            
049899,001259: 12,3047           03146 15003                     2DEC     .100000392                            
049900,001260: 12,3051           75556 45210                     2DEC     -.071401086                            
049901,001261: 12,3053           01615 13553                     2DEC     .055503292                            
049902,001262: 12,3055           76371 63777                     2DEC     -.047264098                            
049903,001263: 12,3057           01232 27367                     2DEC     .040694204                            
049904,001264: 
049905,001265: 12,3061           06042                           TC       INTPRET                               
049906,001266: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
049907,001267: 12,3063           43006                           PUSH     BON                                   
049908,001268: 12,3064           04316                                    360SW                                 
049909,001269: 12,3065           25172                                    TRUE360X                              
049910,001270: 12,3066           60316        XCOMMON            DSQ      NORM                                  
049911,001271: 12,3067           00047                                    X1                                    
049912,001272: 12,3070           53605                           DMP      SRR*                                  
049913,001273: 12,3071           02742                                    R1A                                   
049914,001274: 12,3072           21565                                    0          -12D,1                     
049915,001275: 12,3073           14031                           STODL    XI                                    #  XI (+6)
049916,001276: 12,3074           00041                                    R1                                    
049917,001277: 12,3075           75542                           SR1      SQRT                                  
049918,001278: 12,3076           41306                           ROUND    DMP                                   
049919,001279: 12,3077           77632                           SL4R                                           #                                PL AT 0
049920,001280: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
049921,001281: 
049922,001282: 12,3101           60316                           DSQ      NORM                                  
049923,001283: 12,3102           00047                                    X1                                    
049924,001284: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049925,001285: 12,3104           02740                                    P                                     
049926,001286: 12,3105           00041                                    R1                                    
049927,001287: 12,3106           75452                           SL3      SQRT                                  
049928,001288: 12,3107           56405                           DMP      SL3R                                  
049929,001289: 12,3110           02766                                    COGA                                  
049930,001290: 12,3111           14043                           STODL    KEPC1                                 
049931,001291: 12,3112           02742                                    R1A                                   
049932,001292: 12,3113           43021                           BDSU     CLEAR                                 
049933,001293: 12,3114           11001                                    D1/64                                 
049934,001294: 12,3115           04270                                    INFINFLG                              
049935,001295: 12,3116           00045                           STORE    KEPC2                                 
049936,001296: 12,3117           77616                           RVQ                                            
049937,001297: 

Page 1185

049939,001299: 12,3120           77774        RESETX2            AXT,2                                          
049940,001300: 12,3121           00003                                    3                                     
049941,001301: 
049942,001302: 12,3122           51001        360CHECK           SETPD    BPL                                   
049943,001303: 12,3123           00001                                    0D                                    
049944,001304: 12,3124           25127                                    INVRSEQN                              
049945,001305: 12,3125           77614                           SET                                            
049946,001306: 12,3126           04076                                    360SW                                 
049947,001307: 
049948,001308: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
049949,001309: 12,3130           02740                                    P                                     
049950,001310: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
049951,001311: 12,3132           02730                                    SNTH                                  
049952,001312: 12,3133           02766                                    COGA                                  
049953,001313: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
049954,001314: 12,3135           02732                                    CSTH                                  
049955,001315: 12,3136           43202                           SR4      DAD                                   
049956,001316: 12,3137           11007                                    D1/32                                 
049957,001317: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
049958,001318: 12,3141           55301                           NORM     BDDV                                  
049959,001319: 12,3142           00047                                    X1                                    
049960,001320: 12,3143           02730                                    SNTH                                  
049961,001321: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
049962,001322: 12,3145           21174                                    0          -5,1                       
049963,001323: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
049964,001324: 12,3147           14043                           STODL    34D                                   
049965,001325: 12,3150           11005                                    D1/16                                 
049966,001326: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
049967,001327: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
049968,001328: 12,3153           21634                                    TPMODE                                
049969,001329: 12,3154           02742                                    R1A                                   
049970,001330: 12,3155           40405                           DMP      SR4                                   
049971,001331: 12,3156           00043                                    34D                                   
049972,001332: 12,3157           77771                           TAD                                            
049973,001333: 12,3160           75440                           BMN      SQRT                                  #                                PL AT 4
049974,001334: 12,3161           25205                                    INFINITY                              
049975,001335: 12,3162           77615                           DAD                                            #                                PL AT 2
049976,001336: 12,3163           60304                           TIX,2    NORM                                  
049977,001337: 12,3164           25151                                    1/WLOOP                               
049978,001338: 12,3165           00047                                    X1                                    
049979,001339: 12,3166           77665                           BDDV                                           
049980,001340: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
049981,001341: 12,3170           21172                                    0          -7,1                       
049982,001342: 12,3171           25031                                    POLYCOEF                              
049983,001343: 
049984,001344: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
049985,001345: 12,3173           02742                                    R1A                                   

Page 1186

049987,001347: 12,3174           25205                                    INFINITY                              
049988,001348: 12,3175           60366                           SQRT     NORM                                  
049989,001349: 12,3176           00047                                    X1                                    
049990,001350: 12,3177           53665                           BDDV     SL*                                   
049991,001351: 12,3200           11021                                    2PISC                                 
049992,001352: 12,3201           20176                                    0          -3,1                       
049993,001353: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
049994,001354: 12,3203           77650                           GOTO                                           
049995,001355: 12,3204           25066                                    XCOMMON                               
049996,001356: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
049997,001357: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
049998,001358: 12,3207           25210                                    OVFLCLR                               
049999,001359: 12,3210           43414        OVFLCLR            SET      RVQ                                   
050000,001360: 12,3211           04070                                    INFINFLG                              
050001,001361: 

Page 1187

050003,001363: 12,3212           40220        LAMBERT            STQ      SETPD                                 
050004,001364: 12,3213           02710                                    RTNLAMB                               
050005,001365: 12,3214           00001                                    0D                                    
050006,001366: 12,3215           77600                           BOV                                            
050007,001367: 12,3216           25217                                    +1                                    
050008,001368: 12,3217           76614                           CLEAR    VLOAD*                                
050009,001369: 12,3220           02674                                    SOLNSW                                
050010,001370: 12,3221           10005                                    MUTABLE,1                             
050011,001371: 12,3222           14017                           STODL    1/MU                                  
050012,001372: 12,3223           02671                                    TDESIRED                              
050013,001373: 12,3224           77675                           DMPR                                           
050014,001374: 12,3225           11006                                    BEE19                                 
050015,001375: 12,3226           02764                           STORE    EPSILONL                              
050016,001376: 12,3227           77214                           SET      VLOAD                                 
050017,001377: 12,3230           00474                                    SLOPESW                               
050018,001378: 12,3231           02655                                    R1VEC                                 
050019,001379: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
050020,001380: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
050021,001381: 12,3234           11074                                    GEOM                                  
050022,001382: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
050023,001383: 12,3236           02720                                    MAGVEC2                               
050024,001384: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
050025,001385: 12,3240           00047                                    X1                                    
050026,001386: 12,3241           00041                                    R1                                    
050027,001387: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
050028,001388: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
050029,001389: 12,3244           20173                                    0          -6,1                       
050030,001390: 12,3245           77626                           STADR                                          
050031,001391: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
050032,001392: 12,3247           44342                           SR1      BDSU                                  
050033,001393: 12,3250           11003                                    D1/4                                  
050034,001394: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
050035,001395: 
050036,001396: 12,3252           53106                           ROUND    BZE                                   
050037,001397: 12,3253           25473                                    360LAMB                               
050038,001398: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
050039,001399: 12,3255           00047                                    X1                                    
050040,001400: 12,3256           00001                                    0D                                    
050041,001401: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
050042,001402: 12,3260           75457                           SL*      SQRT                                  
050043,001403: 12,3261           20176                                    0          -3,1                       
050044,001404: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
050045,001405: 12,3263           02730                                    SNTH                                  
050046,001406: 12,3264           20607                                    6                                     
050047,001407: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
050048,001408: 12,3266           02734                                    1-CSTH                                
050049,001409: 12,3267           77626                           STADR                                          
050050,001410: 12,3270           77760                           STORE    COGAMAX                               
050051,001411: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
050052,001412: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1188

050054,001414: 12,3273           25302                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
050055,001415: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
050056,001416: 12,3275           11025                                    COGUPLIM                              
050057,001417: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
050058,001418: 12,3277           77745        UPLIM              DLOAD                                          
050059,001419: 12,3300           11025                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
050060,001420: 12,3301           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
050061,001421: 12,3302           77745        MAXCOGA            DLOAD                                          
050062,001422: 12,3303           02732                                    CSTH                                  
050063,001423: 12,3304           45261                           SR       DSU                                   #                                        PL AT 0
050064,001424: 12,3305           20607                                    6                                     
050065,001425: 12,3306           77626                           STADR                                          
050066,001426: 12,3307           61041                           STODL    CSTH-RHO                              
050067,001427: 12,3310           02673                                    GEOMSGN                               
050068,001428: 12,3311           71240                           BMN      DLOAD                                 
050069,001429: 12,3312           25513                                    LOLIM                                 
050070,001430: 12,3313           02736                                    CSTH-RHO                              
050071,001431: 12,3314           56352                           SL1      DDV                                   
050072,001432: 12,3315           02730                                    SNTH                                  
050073,001433: 12,3316           77600                           BOV                                            
050074,001434: 12,3317           25513                                    LOLIM                                 
050075,001435: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
050076,001436: 12,3321           66214                           BON      SSP                                   
050077,001437: 12,3322           00715                                    GUESSW                                
050078,001438: 12,3323           25477                                    NOGUESS                               
050079,001439: 12,3324           00051                                    TWEEKIT                               
050080,001440: 12,3325           00001                                    00001                                 
050081,001441: 12,3326           77745                           DLOAD                                          
050082,001442: 12,3327           02766                                    COGA                                  
050083,001443: 
050084,001444: 12,3330           77605        LAMBLOOP           DMP                                            
050085,001445: 12,3331           02730                                    SNTH                                  
050086,001446: 12,3332           45342                           SR1      DSU                                   
050087,001447: 12,3333           02736                                    CSTH-RHO                              
050088,001448: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1))    PL = 2
050089,001449: 12,3335           00047                                    X1                                    
050090,001450: 12,3336           02734                                    1-CSTH                                
050091,001451: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                           PL AT 0
050092,001452: 12,3340           20170                                    0          -9D,1                      
050093,001453: 12,3341           53040                           BMN      BZE                                   
050094,001454: 12,3342           25427                                    NEGP                                  
050095,001455: 12,3343           25427                                    NEGP                                  
050096,001456: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
050097,001457: 12,3345           02766                                    COGA                                  
050098,001458: 12,3346           43316                           DSQ      DAD                                   
050099,001459: 12,3347           11011                                    D1/1024                               
050100,001460: 12,3350           41301                           NORM     DMP                                   
050101,001461: 12,3351           00047                                    X1                                    
050102,001462: 12,3352           02740                                    P                                     

Page 1189

050104,001464: 12,3353           44257                           SR*      BDSU                                  
050105,001465: 12,3354           20571                                    0          -8D,1                      
050106,001466: 12,3355           11007                                    D1/32                                 
050107,001467: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
050108,001468: 12,3357           02740                                    P                                     
050109,001469: 12,3360           45000                           BOV      CALL                                  
050110,001470: 12,3361           25432                                    HIENERGY                              
050111,001471: 12,3362           24767                                    GETX                                  
050112,001472: 12,3363           77745                           DLOAD                                          
050113,001473: 12,3364           00037                                    T                                     
050114,001474: 12,3365           16762                           STODL    TPREV                                 
050115,001475: 12,3366           00031                                    XI                                    
050116,001476: 12,3367           45014                           BON      CALL                                  
050117,001477: 12,3370           04310                                    INFINFLG                              
050118,001478: 12,3371           25427                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
050119,001479: 12,3372           24421                                    DELTIME                               
050120,001480: 12,3373           44200                           BOV      BDSU                                  
050121,001481: 12,3374           25447                                    BIGTIME                               
050122,001482: 12,3375           02671                                    TDESIRED                              
050123,001483: 12,3376           02760                           STORE    TERRLAMB                              
050124,001484: 12,3377           44246                           ABS      BDSU                                  
050125,001485: 12,3400           02764                                    EPSILONL                              
050126,001486: 12,3401           47044                           BPL      RTB                                   
050127,001487: 12,3402           25516                                    INITV                                 
050128,001488: 12,3403           24644                                    CHECKCTR                              
050129,001489: 12,3404           43030                           BHIZ     BON                                   
050130,001490: 12,3405           25460                                    SUFFCHEK                              
050131,001491: 12,3406           00714                                    SLOPESW                               
050132,001492: 12,3407           25415                                    GOITER                                
050133,001493: 12,3410           45345                           DLOAD    DSU                                   
050134,001494: 12,3411           00037                                    T                                     
050135,001495: 12,3412           02762                                    TPREV                                 
050136,001496: 12,3413           77654                           BZE                                            
050137,001497: 12,3414           25460                                    SUFFCHEK                              
050138,001498: 12,3415           77624        GOITER             CALL                                           
050139,001499: 12,3416           24536                                    ITERATOR                              
050140,001500: 12,3417           53145                           DLOAD    BZE                                   
050141,001501: 12,3420           00155                                    MPAC                                  
050142,001502: 12,3421           25460                                    SUFFCHEK                              
050143,001503: 12,3422           77615                           DAD                                            
050144,001504: 12,3423           02766                                    COGA                                  
050145,001505: 12,3424           02766                           STORE    COGA                                  
050146,001506: 12,3425           77650                           GOTO                                           
050147,001507: 12,3426           25330                                    LAMBLOOP                              
050148,001508: 
050149,001509: 12,3427           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
050150,001510: 12,3430           00015                                    DCOGA                                 #  BOUND CALCULATION.  TRY NEW COGA.
050151,001511: 12,3431           25452                                    LOENERGY                              
050152,001512: 

Page 1190

050154,001514: 12,3432           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
050155,001515: 12,3433           00001                                    0                                     
050156,001516: 12,3434           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
050157,001517: 12,3435           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
050158,001518: 12,3436           70545        COMMONLM           DLOAD    SR1                                   
050159,001519: 12,3437           00015                                    DCOGA                                 
050160,001520: 12,3440           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
050161,001521: 12,3441           44254                           BZE      BDSU                                  
050162,001522: 12,3442           25460                                    SUFFCHEK                              
050163,001523: 12,3443           02766                                    COGA                                  
050164,001524: 12,3444           02766                           STORE    COGA                                  
050165,001525: 12,3445           77650                           GOTO                                           #  RESTART THIS LOOP
050166,001526: 12,3446           25330                                    LAMBLOOP                              
050167,001527: 
050168,001528: 12,3447           77745        BIGTIME            DLOAD                                          
050169,001529: 12,3450           02762                                    TPREV                                 
050170,001530: 12,3451           00037                           STORE    T                                     
050171,001531: 
050172,001532: 12,3452           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
050173,001533: 12,3453           00001                                    0                                     
050174,001534: 12,3454           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
050175,001535: 12,3455           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
050176,001536: 12,3456           77650                           GOTO                                           
050177,001537: 12,3457           25436                                    COMMONLM                              
050178,001538: 
050179,001539: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
050180,001540: 12,3461           02760                                    TERRLAMB                              
050181,001541: 12,3462           41325                           PDDL     DMP                                   
050182,001542: 12,3463           02671                                    TDESIRED                              #                                PL AT 2D
050183,001543: 12,3464           10774                                    BEE17                                 
050184,001544: 12,3465           45215                           DAD      DSU                                   #                                PL AT 0D
050185,001545: 12,3466           11023                                    ONEBIT                                
050186,001546: 12,3467           43044                           BPL      SETGO                                 
050187,001547: 12,3470           25516                                    INITV                                 
050188,001548: 12,3471           02434                                    SOLNSW                                
050189,001549: 12,3472           25516                                    INITV                                 
050190,001550: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
050191,001551: 12,3474           00001                                    0                                     
050192,001552: 12,3475           02434                                    SOLNSW                                
050193,001553: 12,3476           02710                                    RTNLAMB                               
050194,001554: 
050195,001555: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
050196,001556: 12,3500           00051                                    TWEEKIT                               
050197,001557: 12,3501           10000                                    20000                                 
050198,001558: 12,3502           00011                                    COGAMIN                               
050199,001559: 12,3503           65342                           SR1      PDDL                                  #                                PL AT 2

Page 1191

050201,001561: 12,3504           00017                                    COGAMAX                               
050202,001562: 12,3505           43342                           SR1      DAD                                   
050203,001563: 12,3506           77626                           STADR                                          #                                PL AT 0
050204,001564: 12,3507           75011                           STORE    COGA                                  
050205,001565: 12,3510           00015                           STORE    DCOGA                                 
050206,001566: 12,3511           77650                           GOTO                                           
050207,001567: 12,3512           25330                                    LAMBLOOP                              
050208,001568: 
050209,001569: 12,3513           52145        LOLIM              DLOAD    GOTO                                  
050210,001570: 12,3514           11027                                    COGLOLIM                              #  COGLOLIM=-.999511597
050211,001571: 12,3515           25320                                    MINCOGA                               
050212,001572: 
050213,001573: 12,3516           60345        INITV              DLOAD    NORM                                  
050214,001574: 12,3517           00041                                    R1                                    
050215,001575: 12,3520           00047                                    X1                                    
050216,001576: 12,3521           70525                           PDDL     SR1                                   #                                PL AT 2
050217,001577: 12,3522           02740                                    P                                     
050218,001578: 12,3523           77671                           DDV                                            #                                PL AT 0
050219,001579: 12,3524           75457                           SL*      SQRT                                  
050220,001580: 12,3525           20175                                    0          -4,1                       
050221,001581: 12,3526           72405                           DMP      SL1                                   
050222,001582: 12,3527           00021                                    ROOTMU                                
050223,001583: 12,3530           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
050224,001584: 12,3531           02766                                    COGA                                  
050225,001585: 12,3532           74261                           SL       VXSC                                  
050226,001586: 12,3533           20206                                    5                                     
050227,001587: 12,3534           02722                                    UR1                                   
050228,001588: 12,3535           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
050229,001589: 12,3536           76561                           VXSC     VSL1                                  
050230,001590: 12,3537           02674                                    UN                                    
050231,001591: 12,3540           53235                           VXV      VAD                                   
050232,001592: 12,3541           02722                                    UR1                                   #                                PL AT 0
050233,001593: 12,3542           77772                           VSL1                                           
050234,001594: 12,3543           02744                           STORE    VVEC                                  
050235,001595: 12,3544           53135                           SLOAD    BZE                                   
050236,001596: 12,3545           02702                                    VTARGTAG                              
050237,001597: 12,3546           25551                                    TARGETV                               
050238,001598: 12,3547           77650                           GOTO                                           
050239,001599: 12,3550           02710                                    RTNLAMB                               
050240,001600: 
050241,001601: 12,3551           45145        TARGETV            DLOAD    CALL                                  
050242,001602: 12,3552           02720                                    MAGVEC2                               
050243,001603: 12,3553           24701                                    LAMENTER                              
050244,001604: 12,3554           02703                           STORE    VTARGET                               
050245,001605: 12,3555           77650                           GOTO                                           
050246,001606: 12,3556           02710                                    RTNLAMB                               
050247,001607: 

Page 1192

050249,001609: 12,3557           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
050250,001610: 12,3560           02710                                    RTNTR                                 
050251,001611: 12,3561           00001                                    0                                     
050252,001612: 12,3562           77600                           BOV                                            
050253,001613: 12,3563           25564                                    +1                                    
050254,001614: 12,3564           63375                           VLOAD    PDVL                                  #                                PL AT 6
050255,001615: 12,3565           02655                                    RVEC                                  
050256,001616: 12,3566           02744                                    VVEC                                  
050257,001617: 12,3567           77624                           CALL                                           
050258,001618: 12,3570           11030                                    PARAM                                 
050259,001619: 12,3571           71200                           BOV      DLOAD                                 
050260,001620: 12,3572           24764                                    COGAOVFL                              #                                PL AT 0
050261,001621: 12,3573           11007                                    D1/32                                 
050262,001622: 12,3574           41225                           DSU      DMP                                   
050263,001623: 12,3575           02742                                    R1A                                   
050264,001624: 12,3576           02740                                    P                                     
050265,001625: 12,3577           41366                           SQRT     DMP                                   
050266,001626: 12,3600           02766                                    COGA                                  
050267,001627: 12,3601           74212                           SL4      VXSC                                  
050268,001628: 12,3602           02712                                    U2                                    
050269,001629: 12,3603           45325                           PDDL     DSU                                   #                                PL AT 6
050270,001630: 12,3604           11001                                    D1/64                                 
050271,001631: 12,3605           02742                                    R1A                                   
050272,001632: 12,3606           52361                           VXSC     VSU                                   #                                PL AT 0
050273,001633: 12,3607           02722                                    UR1                                   
050274,001634: 12,3610           53512                           VSL4     UNIT                                  
050275,001635: 12,3611           77600                           BOV                                            
050276,001636: 12,3612           25670                                    CIRCULAR                              
050277,001637: 12,3613           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
050278,001638: 12,3614           02756                                    RDESIRED                              #  36D=ECC (+3)
050279,001639: 12,3615           00047                                    X1                                    
050280,001640: 12,3616           41325                           PDDL     DMP                                   #                                PL AT 8
050281,001641: 12,3617           00041                                    R1                                    
050282,001642: 12,3620           02740                                    P                                     
050283,001643: 12,3621           56257                           SL*      DDV                                   #                                PL AT 6
050284,001644: 12,3622           20201                                    0,1                                   
050285,001645: 12,3623           56225                           DSU      DDV                                   
050286,001646: 12,3624           11005                                    D1/16                                 
050287,001647: 12,3625           00045                                    36D                                   #  36D=ECC (+3)
050288,001648: 12,3626           00031                           STORE    COSF                                  
050289,001649: 12,3627           63400                           BOV      DSQ                                   
050290,001650: 12,3630           25674                                    BADR2                                 
050291,001651: 12,3631           50021                           BDSU     BMN                                   
050292,001652: 12,3632           11003                                    D1/4                                  
050293,001653: 12,3633           25674                                    BADR2                                 
050294,001654: 12,3634           75366                           SQRT     SIGN                                  
050295,001655: 12,3635           02755                                    SGNRDOT                               
050296,001656: 12,3636           77614                           CLEAR                                          
050297,001657: 12,3637           04272                                    APSESW                                

Page 1193

050299,001659: 12,3640           76561        TERMNVEC           VXSC     VSL1                                  
050300,001660: 12,3641           02674                                    UN                                    
050301,001661: 12,3642           63235                           VXV      PDVL                                  #  VXCH WITH 0D          PL AT 0,6
050302,001662: 12,3643           00001                                    0D                                    
050303,001663: 12,3644           53361                           VXSC     VAD                                   #                        PL AT 0
050304,001664: 12,3645           00031                                    COSF                                  
050305,001665: 12,3646           41572                           VSL1     PUSH                                  #  0D=U2                 PL AT 6
050306,001666: 
050307,001667: 12,3647           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
050308,001668: 12,3650           02722                                    UR1                                   
050309,001669: 12,3651           25766                                    DP1/4                                 
050310,001670: 12,3652           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
050311,001671: 12,3653           25654                                    +1                                    #  CLEAR OVFIND IF SET
050312,001672: 12,3654           26732                           STOVL    CSTH                                  #  CSTH (+1)
050313,001673: 12,3655           02722                                    UR1                                   
050314,001674: 12,3656           76435                           VXV      VSL1                                  
050315,001675: 12,3657           72441                           DOT      SL1                                   
050316,001676: 12,3660           02674                                    UN                                    
050317,001677: 12,3661           16730                           STODL    SNTH                                  #  SNTH (+1)
050318,001678: 12,3662           02740                                    P                                     
050319,001679: 12,3663           77624                           CALL                                           
050320,001680: 12,3664           24767                                    GETX                                  
050321,001681: 12,3665           77614                           CLRGO                                          
050322,001682: 12,3666           02634                                    SOLNSW                                
050323,001683: 12,3667           24747                                    COMMNOUT                              
050324,001684: 
050325,001685: 12,3670           43001        CIRCULAR           SETPD    SETGO                                 
050326,001686: 12,3671           00001                                    0                                     
050327,001687: 12,3672           02434                                    SOLNSW                                
050328,001688: 12,3673           25752                                    ABTCONIC                              
050329,001689: 
050330,001690: 12,3674           75345        BADR2              DLOAD    SIGN                                  
050331,001691: 12,3675           24005                                    LODPHALF                              
050332,001692: 12,3676           00031                                    COSF                                  
050333,001693: 12,3677           14031                           STODL    COSF                                  
050334,001694: 12,3700           24007                                    KEPZERO                               
050335,001695: 12,3701           77614                           SETGO                                          
050336,001696: 12,3702           04032                                    APSESW                                
050337,001697: 12,3703           25640                                    TERMNVEC                              
050338,001698: 

Page 1194

050340,001700: 12,3704           40220        APSIDES            STQ      SETPD                                 #                        PL AT 0
050341,001701: 12,3705           02710                                    RTNAPSE                               
050342,001702: 12,3706           00001                                    0D                                    
050343,001703: 12,3707           77600                           BOV                                            
050344,001704: 12,3710           25711                                    +1                                    
050345,001705: 12,3711           63375                           VLOAD    PDVL                                  #                        PL AT 6
050346,001706: 12,3712           02655                                    RVEC                                  
050347,001707: 12,3713           02744                                    VVEC                                  
050348,001708: 12,3714           77624                           CALL                                           
050349,001709: 12,3715           11030                                    PARAM                                 
050350,001710: 12,3716           77600                           BOV                                            #                        PL AT 0
050351,001711: 12,3717           25720                                    GETECC                                
050352,001712: 12,3720           42405        GETECC             DMP      SL4                                   
050353,001713: 12,3721           02742                                    R1A                                   
050354,001714: 12,3722           75421                           BDSU     SQRT                                  
050355,001715: 12,3723           11001                                    D1/64                                 
050356,001716: 12,3724           02752                           STORE    ECC                                   
050357,001717: 12,3725           65215                           DAD      PDDL                                  #                        PL AT 2
050358,001718: 12,3726           10775                                    D1/8                                  
050359,001719: 12,3727           00041                                    R1                                    
050360,001720: 12,3730           72405                           DMP      SL1                                   
050361,001721: 12,3731           02740                                    P                                     
050362,001722: 12,3732           77671                           DDV                                            #                        PL AT 0
050363,001723: 12,3733           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)    PL AT 2
050364,001724: 12,3734           02742                                    R1A                                   
050365,001725: 12,3735           00047                                    X1                                    
050366,001726: 12,3736           53725                           PDDL     SL*                                   #                        PL AT 4
050367,001727: 12,3737           00041                                    R1                                    
050368,001728: 12,3740           20174                                    0          -5,1                       
050369,001729: 12,3741           45271                           DDV      DSU                                   #                        PL AT 2,0
050370,001730: 12,3742           50000                           BOV      BMN                                   
050371,001731: 12,3743           25747                                    INFINAPO                              
050372,001732: 12,3744           25747                                    INFINAPO                              
050373,001733: 12,3745           77650                           GOTO                                           
050374,001734: 12,3746           02710                                    RTNAPSE                               
050375,001735: 12,3747           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
050376,001736: 12,3750           24020                                    LDPOSMAX                              
050377,001737: 12,3751           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
050378,001738: 

Page 1195

050380,001740: 12,3752           77776        ABTCONIC           EXIT                                           
050381,001741: 12,3753           05642                           TC       POODOO                                
050382,001742: 12,3754           20607                           OCT      20607                                 
050383,001743: 
050384,001744: 12,3755  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
050385,001745: 
050386,001746:                                                                                                  #  ERASABLE ASSIGNMENTS
050387,001747:                                                                                                  #  KEPLER SUBROUTINE
050388,001748: 
050389,001749:                                                                                                  #  INPUT -
050390,001750:                                                                                                  #  RRECT         ERASE   +5
050391,001751:                                                                                                  #  VRECT         ERASE   +5
050392,001752:                                                                                                  #  TAU.          ERASE   +1
050393,001753:                                                                                                  #  XKEP          ERASE   +1
050394,001754:                                                                                                  #  TC            ERASE   +1
050395,001755:                                                                                                  #  XPREV         ERASE   +1
050396,001756: 12,3755                        1/MU               EQUALS   14D                                   
050397,001757: 12,3755                        ROOTMU             EQUALS   16D                                   
050398,001758: 12,3755                        1/ROOTMU           EQUALS   18D                                   
050399,001759: 
050400,001760:                                                                                                  #  OUTPUT -
050401,001761:                                                                                                  #  RCV           ERASE   +5
050402,001762:                                                                                                  #  VCV           ERASE   +5
050403,001763:                                                                                                  #  RC            ERASE   +1
050404,001764:                                                                                                  #  XPREV         ERASE   +1
050405,001765: 
050406,001766:                                                                                                  #  DEBRIS -
050407,001767: 12,3755                        ALPHA              EQUALS   8D                                    
050408,001768: 12,3755                        XMAX               EQUALS   10D                                   
050409,001769: 12,3755                        XMIN               EQUALS   12D                                   
050410,001770: 12,3755                        X                  EQUALS   20D                                   
050411,001771: 12,3755                        XI                 EQUALS   24D                                   
050412,001772: 12,3755                        S(XI)              EQUALS   26D                                   
050413,001773: 12,3755                        XSQC(XI)           EQUALS   28D                                   
050414,001774: 12,3755                        T                  EQUALS   30D                                   
050415,001775: 12,3755                        R1                 EQUALS   32D                                   
050416,001776: 12,3755                        KEPC1              EQUALS   34D                                   
050417,001777: 12,3755                        KEPC2              EQUALS   36D                                   
050418,001778:                                                                                                  #  DELX          ERASE   +1
050419,001779:                                                                                                  #  DELT          ERASE   +1
050420,001780:                                                                                                  #  URRECT        ERASE   +5
050421,001781:                                                                                                  #  RCNORM        ERASE   +1
050422,001782:                                                                                                  #  XPREV         EQUALS  XKEP
050423,001783: 
050424,001784: 
050425,001785:                                                                                                  #  LAMBERT SUBROUTINE
050426,001786: 
050427,001787:                                                                                                  #  INPUT -
050428,001788:                                                                                                  #  R1VEC         ERASE   +5

Page 1196

050430,001790:                                                                                                  #  R2VEC         ERASE   +5
050431,001791:                                                                                                  #  TDESIRED      ERASE   +1
050432,001792:                                                                                                  #  GEOMSGN       ERASE   +0
050433,001793:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT
050434,001794:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
050435,001795:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
050436,001796:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
050437,001797:                                                                                                  #  VTARGTAG      ERASE   +0
050438,001798:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
050439,001799: 
050440,001800:                                                                                                  #  OUTPUT -
050441,001801:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
050442,001802:                                                                                                  #  V1VEC         EQUALS  MPAC
050443,001803: 
050444,001804:                                                                                                  #  DEBRIS -
050445,001805:                                                                                                  #  RTNLAMB       ERASE   +0
050446,001806:                                                                                                  #  U2            ERASE   +5
050447,001807:                                                                                                  #  MAGVEC2       ERASE   +1
050448,001808:                                                                                                  #  UR1           ERASE   +5
050449,001809:                                                                                                  #  R1            EQUALS  31D
050450,001810:                                                                                                  #  UN            ERASE   +5
050451,001811:                                                                                                  #  SNTH          ERASE   +1
050452,001812:                                                                                                  #  CSTH          ERASE   +1
050453,001813:                                                                                                  #  1-CSTH        ERASE   +1
050454,001814:                                                                                                  #  CSTH-RHO      ERASE   +1
050455,001815: 12,3755                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
050456,001816: 12,3755                        COGAMIN            EQUALS   8D                                    
050457,001817: 12,3755                        DCOGA              EQUALS   12D                                   
050458,001818:                                                                                                  #  TWEEKIT       EQUALS  40D
050459,001819:                                                                                                  #  P             ERASE   +1
050460,001820:                                                                                                  #  COGA          ERASE   +1
050461,001821:                                                                                                  #  R1A           ERASE   +1
050462,001822:                                                                                                  #  X             EQUALS  20D
050463,001823:                                                                                                  #  XSQ           EQUALS  22D
050464,001824:                                                                                                  #  XI            EQUALS  24D
050465,001825:                                                                                                  #  S(XI)         EQUALS  26D
050466,001826:                                                                                                  #  XSQC(XI)      EQUALS  28D
050467,001827:                                                                                                  #  T             EQUALS  30D
050468,001828:                                                                                                  #  KEPC1         EQUALS  34D
050469,001829:                                                                                                  #  KEPC2         EQUALS  36D
050470,001830:                                                                                                  #  SLOPESW
050471,001831:                                                                                                  #  SOLNSW
050472,001832: 
050473,001833:                                                                                                  #  OTHERS -
050474,001834:                                                                                                  #  RVEC          EQUALS  R1VEC
050475,001835:                                                                                                  #  VVEC          ERASE   +5
050476,001836:                                                                                                  #  COGAFLAG
050477,001837:                                                                                                  #  RVSW
050478,001838:                                                                                                  #  INFINFLG
050479,001839:                                                                                                  #  APSESW

Page 1197

050481,001841:                                                                                                  #  360SW
050482,001842:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
050483,001843:                                                                                                  #  ECC           ERASE   +1
050484,001844:                                                                                                  #  RTNTR         EQUALS  RTNLAMB
050485,001845:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
050486,001846:                                                                                                  #  R2            EQUALS  MAGVEC2
050487,001847: 12,3755                        COSF               EQUALS   24D                                   
050488,001848:                                                                                                  #  RTNPRM        ERASE   +0
050489,001849:                                                                                                  #  SGNRDOT       ERASE   +0
050490,001850:                                                                                                  #  RDESIRED      ERASE   +1
050491,001851: 
050492,001852: 
050493,001853:                                                                                                  #  ITERATOR SUBROUTINE
050494,001854:                                                                                                  #  ORDERSW
050495,001855: 12,3755                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
050496,001856: 12,3755                        MIN                EQUALS   8D                                    
050497,001857:                                                                                                  #  INDEP         ERASE   +1
050498,001858: 12,3755                        DELINDEP           EQUALS   12D                                   
050499,001859: 12,3755                        ITERCTR            EQUALS   22D                                   
050500,001860: 12,3755                        DEP                EQUALS   30D                                   
050501,001861:                                                                                                  #  DELDEP        ERASE   +1
050502,001862:                                                                                                  #  DEPREV        ERASE   +1
050503,001863: 12,3755                        TWEEKIT            EQUALS   40D                                   
050504,001864: 
050505,001865: 
050506,001866:                                                                                                  #  MORE KEPLER
050507,001867:                                                                                                  #  EPSILONT      ERASE   +1
050508,001868: 
050509,001869: 
050510,001870:                                                                                                  #  MORE LAMBERT
050511,001871:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
050512,001872:                                                                                                  #  TPREV         EQUALS  DEPREV
050513,001873:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD
050514,001874: 

End of include-file CONIC_SUBROUTINES.agc.  Parent file is MAIN.agc