Source Code
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These source-code files are part of a reconstructed copy of Artemis 071, the
first release of the Apollo 15 through 17 Command Module (CM) Apollo Guidance
Computer (AGC) software.
The reconstruction began with source code of Artemis 072 previously transcribed
from a digitized copy of that program. The code was then updated by undoing
changes between the two versions. The reconstruction was verified by matching
memory-bank checksums to those listed in drawing 2021154-. Note that page
numbers in the reconstructed code match those on the Artemis 072 printout,
although the changed code would likely have changed page numbers for a real
Artemis 071 listing.
Comments from the original source code are prefixed with a single '#' symbol,
whereas comments added later are prefixed by "##" or "###". Report any errors
noted by creating an
issue report at the Virtual AGC
project's GitHub repository.
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058632,000002: ## Copyright: Public domain.
058633,000003: ## Filename: TIME_OF_FREE_FALL.agc
058634,000004: ## Purpose: A section of Artemis revision 071.
058635,000005: ## It is part of the reconstructed source code for the first
058636,000006: ## release of the flight software for the Command Module's
058637,000007: ## (CM) Apollo Guidance Computer (AGC) for Apollo 15 through
058638,000008: ## 17. The code has been recreated from a copy of Artemis 072.
058639,000009: ## It has been adapted such that the resulting bugger words
058640,000010: ## exactly match those specified for Artemis 071 in NASA
058641,000011: ## drawing 2021154-, which gives relatively high confidence
058642,000012: ## that the reconstruction is correct.
058643,000013: ## Reference: 1371
058644,000014: ## Assembler: yaYUL
058645,000015: ## Contact: Ron Burkey <info@sandroid.org>.
058646,000016: ## Website: www.ibiblio.org/apollo/index.html
058647,000017: ## Mod history: 2019-08-14 MAS Created from Artemis 072.
058648,000018:
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Page 1371
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058650,000020:
058651,000021: # THE TFF SUBROUTINES MAY BE USED IN EITHER EARTH OR MOON CENTERED COORDINATES. THE TFF ROUTINES NEVER
058652,000022: # KNOW WHICH ORIGIN APPLIES. IT IS THE USER WHO KNOWS, AND WHO SUPPLIES RONE, VONE AND 1/SQRT(MU) AT THE
058653,000023: # APPROPRIATE SCALE LEVEL FOR THE PROPER PRIMARY BODY.
058654,000024:
058655,000025: # EARTH ORIGIN POSITION -29 METERS
058656,000026: # VELOCITY -7 METERS/CENTISECOND
058657,000027: # 1/SQRT(MU) +17 SQRT(CS SQ/METERS CUBED)
058658,000028:
058659,000029: # MOON ORIGIN POSITION -27 METERS
058660,000030: # VELOCITY -5 METERS/CENTISECONDS
058661,000031: # 1/SQRT(MU) +14 SQRT(CS SQ/METERS CUBED)
058662,000032:
058663,000033: # ALL DATA PROVIDED TO AND RECEIVED FROM ANY TFF SUBROUTINE WILL BE AT ONE OF THE LEVELS ABOVE. IN ALL CASES,
058664,000034: # THE FREE FALL TIME IS RETURNED IN CENTISECONDS AT (-28). PROGRAM TFF/CONIC WILL GENERATE VONE/RTMU AND
058665,000035: # LEAVE IT IN VONE' AT (+10) IF EARTH ORIGIN AND (+9) IF MOON ORIGIN.
058666,000036:
058667,000037: # THE USER MUST STORE THE STATE VECTOR IN RONE, VONE AND MU IN THE FORM 1/SQRT(MU) IN TFF/RTMU
058668,000038: # AT THE PROPER SCALE BEFORE CALLING TFF/CONIC. SINCE RONE, VONE ARE IN THE EXTENDED VERB STORAGE AREA,
058669,000039: # THE USER MUST ALSO LOCK OUT THE EXTENDED VERBS, AND RELEASE THEM WHEN FINISHED.
058670,000040:
058671,000041: # PROGRAMS CALC/TFF AND CALC/TPER ASSUME THAT THE TERMINAL RADIUS IS LESS THAN THE PRESENT
058672,000042: # RADIUS. THIS RESTRICTION CAN BE REMOVED BY A 15 W CODING CHANGE, BUT AT PRESENT IT IS NOT DEEMED NECESSARY.
058673,000043:
058674,000044: # THE FOLLOWING ERASABLE QUANTITIES ARE USED BY THE TFF ROUTINES, AND ARE LOCATED IN THE PUSH LIST.
058675,000045:
058676,000046: # BELOW E: IS USED FOR EARTH ORIGIN SCALE
058677,000047: # M: IS USED FOR MOON ORIGIN SCALE
058678,000048:
058679,000049: # TFFSW = 119D BIT1 0 = CALCTFF 1 = CALCTPER
058680,000050: 23,3773 TFFDELQ = 10D # Q2-Q1 E: (-16) M: (-15)
058681,000051: 23,3773 RMAG1 = 12D # ABVAL(RN) M E: (-29) M: (-27)
058682,000052: # RPER = 14D PERIGEE RADIUS M E: (-29) M: (-27)
058683,000053: 23,3773 TFFQ1 = 14D # R.V / SQRT(MUE) E: (-16) M: (-15)
058684,000054: # SDELF/2 SIN(THETA) /2
058685,000055: 23,3773 CDELF/2 = 14D # COS(THETA) /2
058686,000056: # RAPO = 16D APOGEE RADIUS M E: (-29) M: (-27)
058687,000057: 23,3773 NRTERM = 16D # TERMINAL RADIUS M E: (-29+NR)
058688,000058: # M: (-27+NR)
058689,000059: 23,3773 RTERM = 18D # TERMINAL RADIUS M E: (-29) M: (-27)
058690,000060: 23,3773 TFFVSQ = 20D # -(V SQUARED/MU) 1/M E: (20) M: (18)
058691,000061: 23,3773 TFF1/ALF = 22D # SEMI MAJ AXIS M E: (-22-2 NA)
058692,000062: # M: (-20-2 NA)
058693,000063: 23,3773 TFFRTALF = 24D # SQRT(ALFA) E: (10+NA) M: (9+NA)
058694,000064: 23,3773 TFFALFA = 26D # ALFA 1/M E: (26-NR) M: (24-NR)
058695,000065: 23,3773 TFFNP = 28D # SEMI LATUS RECTUM M E: (-38+2 NR)
058696,000066: # M: (-36+2 NR)
058697,000067: 23,3773 TFF/RTMU = 30D # 1/SQRT(MU) E: (17) M: (14)
058698,000068: 23,3773 NRMAG = 32D # PRESENT RADIUS M E: (-29+NR)
058699,000069: # M: (-27+NR)
058700,000070: 23,3773 TFFX = 34D
058701,000071: 23,3773 TFFTEM = 36D # TEMPORARY
058702,000072:
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Page 1372
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058704,000074: # REGISTERS S1, S2 ARE UNTOUCHED BY ANY TFF SUBROUTINE
058705,000075: # INDEX REGISTERS X1, X2 ARE USED BY ALL TFF SUBROUTINES. THEY ARE ESTAB-
058706,000076: # LISHED IN TFF/CONIC AND MUST BE PRESERVED BETWEEN CALLS TO SUBSEQUENT
058707,000077: # SUBROUTINES.
058708,000078: # -NR C(X1) = NORM COUNT OF RMAG
058709,000079: # -NA C(X2) = NORM COUNT OF SQRT(ABS(ALFA))
058710,000080:
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Page 1373
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058712,000082:
058713,000083: # SUBROUTINE NAME: TFFCONIC DATE: 01.29.67
058714,000084: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
058715,000085: # MOD BY: RR BAIRNSFATHER
058716,000086: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
058717,000087: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD MOON MU.
058718,000088: # MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
058719,000089:
058720,000090: # FUNCTIONAL DESCRIPTION: THIS SUBROUTINE IS CALLED TO COMPUTE THOSE CONIC PARAMETERS REQUIRED BY THE TFF
058721,000091: # SUBROUTINES AND TO ESTABLISH THEM IN THE PUSH LIST AREA. THE PARAMETERS ARE LISTED UNDER OUTPUT.
058722,000092: # THE EQUATIONS ARE
058723,000093: # - - -
058724,000094: # H = RN*VN ANGULAR MOMENTUM
058725,000095: # - -
058726,000096: # LCP = H.H / MU SEMI LATUS RECTUM
058727,000097: # - -
058728,000098: # ALFA = 2/RN - VN.VN / MU RECIPROCAL SEMI MAJ AXIS, SIGNED
058729,000099:
058730,000100: # AND ALFA IS POS FOR ELLIPTIC ORBITS
058731,000101: # 0 FOR PARABOLIC ORBITS
058732,000102: # NEG FOR HYPERBOLIC ORBITS.
058733,000103: # SUBROUTINE ALSO COMPUTES AND SAVES RMAG.
058734,000104:
058735,000105: # CALLING SEQUENCE:
058736,000106: # TFFCONIC EXPECTS CALLER TO ENTER WITH CORRECT GRAVITATIONAL CONSTANT IN MPAC, IN THE FORM
058737,000107: # 1/SQRT(MU). PROGRAM WILL SAVE IN TFF/RTMU . THE SCALE IS DETERMINED BY WHETHER EARTH OR MOON
058738,000108: # ORIGIN IS USED. THE CALLER MUST LOCK OUT THE EXTENDED VERBS BEFORE PROVIDING STATE VECTOR IN RONE,
058739,000109: # VONE AT PROPER SCALE. THE EXTENDED VERBS MUST BE RESTORED WHEN THE CALLER IS FINISHED USING THE
058740,000110: # TFF ROUTINES.
058741,000111:
058742,000112: # ENTRY POINT TFFCONMU EXPECTS THAT TFF/RTMU IS ALREADY LOADED.
058743,000113:
058744,000114: # TO SPECIFY MU: DLOAD CALL IF MU ALREADY STORED: CALL
058745,000115: # YOURMU 1/RTMU E: (17) M: (14) TFFCONMU
058746,000116: # TFFCONIC
058747,000117:
058748,000118: # PUSHLOC = PDL+0, ARBITRARY IF LEQ 18D
058749,000119:
058750,000120: # SUBROUTINES CALLED: NONE
058751,000121:
058752,000122: # NORMAL EXIT MODES: RVQ
058753,000123:
058754,000124: # ALARMS: NONE
058755,000125:
058756,000126: # OUTPUT: THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
058757,000127: # RMAG1 E:(-29) M:(-27) M RN, PRESENT RADIUS LENGTH.
058758,000128: # NRMAG E: (-29+NR) M RMAG, NORMALIZED
058759,000129: # M: (-27+NR)
058760,000130: # X1 -NR, NORM COUNT
058761,000131: # TFFNP E: (-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHTED BY NR. FOR VGAMCALC
058762,000132: # M: (-36+2NR)
058763,000133: # TFF/RTMU E:(17) M:(14) 1/SQRT(MU)
058764,000134: # TFFVSQ E:(20) M:(18) 1/M -(V SQ/MU): PRESENT VELOCITY, NORMLIZED. FOR VGAMCALC
058765,000135: # TFFALFA E: (26-NR) 1/M ALFA, WEIGHTED BY NR
058766,000136: # M: (24-NR)
058767,000137: # TFFRTALF E: (10+NA) SQRT(ALFA), NORMALIZED
058768,000138: # M: (9+NA)
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Page 1374
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058770,000140: # X2 -NA, NORM COUNT
058771,000141: # TFF1/ALF E: (-22-2NA) SIGNED SEMI MAJ AXIS, WEIGHTED BY NA
058772,000142: # M: (-20-2NA)
058773,000143: # PUSHLOC AT PDL+0
058774,000144: # THE FOLLOWING IS STORED IN GENERAL ERASABLE
058775,000145: # VONE' E:(10) M:(9) V/RT(MU), NORMALIZED VELOCITY
058776,000146:
058777,000147: # ERASABLE INITIALIZATION REQUIRED:
058778,000148: # RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY CALLER
058779,000149: # VONE E:(-7) M:(-5) M/CS STATE VECTOR LEFT BY CALLER
058780,000150: # TFF/RTMU E:(17) M:(14) 1/RT(CS SQ/M CUBE) IF ENTER VIA TFFCONMU.
058781,000151:
058782,000152: # DEBRIS: QPRET, PDL+0 ... PDL+3
058783,000153:
058784,000154: 27,2000 SETLOC TOF-FF
058785,000155: 27,2000 BANK
058786,000156:
058787,000157: 27,3151 COUNT* $$/TFF
058788,000158:
058789,000159: 27,3151 00037 TFFCONIC STORE TFF/RTMU # 1/SQRT(MU) E: (17) M: (14)
058790,000160:
058791,000161: 27,3152 53575 TFFCONMU VLOAD UNIT # COME HERE WITH TFFRTMU LOADED.
058792,000162: 27,3153 02320 RONE # SAVED RN. M E: (-29) M: (-27)
058793,000163: 27,3154 77725 PDDL # UR/2 TO PDL+0, +5
058794,000164: 27,3155 00045 36D # MAGNITUDE
058795,000165: 27,3156 00015 STORE RMAG1 # M E: (-29) M: (-27)
058796,000166:
058797,000167: 27,3157 77701 NORM
058798,000168: 27,3160 00047 X1 # -NR
058799,000169: 27,3161 24041 STOVL NRMAG # RMAG M E: (-29+NR) M: (-27+NR)
058800,000170: 27,3162 02326 VONE # SAVED VN. M/CS E: (-7) M: (-5)
058801,000171: 27,3163 77761 VXSC
058802,000172: 27,3164 00037 TFF/RTMU # E: (17) M: (14)
058803,000173: 27,3165 02362 STORE VONE' # VN/SQRT(MU) E:(10) M:(9)
058804,000174:
058805,000175: 27,3166 47361 VXSC VXV
058806,000176: 27,3167 00041 NRMAG # E: (-29+NR) M: (-27+NR)
058807,000177: # UR/2 FROM PDL
058808,000178: 27,3170 47572 VSL1 VSQ # BEFORE: E:(-19+NR) M:(-18+NR)
058809,000179: 27,3171 14035 STODL TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
058810,000180: # SAVE ALSO FOR VGAMCALC
058811,000181: 27,3172 15326 TFF1/4
058812,000182: 27,3173 63271 DDV PDVL # (2/RMAG) 1/M E:(26-NR) M:(24-NR)
058813,000183: 27,3174 00041 NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
058814,000184: 27,3175 02362 VONE' # SAVED VN. E: (10) M: (9)
058815,000185: 27,3176 57436 VSQ DCOMP # KEEP MPAC+2 HONEST FOR SQRT.
058816,000186: 27,3177 00025 STORE TFFVSQ # -(V SQ/MU) E:(20) M:(18)
058817,000187: # SAVE FOR VGAMCALC
058818,000188: 27,3200 43257 SR* DAD
058819,000189: 27,3201 20573 0 -6,1 # GET -VSQ/MU E:(26-NR) M:(24-NR)
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Page 1375
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058821,000191: 27,3202 77626 STADR
058822,000192: # 2/RMAG FROM PDL+2
058823,000193: 27,3203 77744 STORE TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
058824,000194: 27,3204 41457 SL* PUSH # TEMP SAVE ALFA E:(20) M:(18)
058825,000195: 27,3205 20173 0 -6,1
058826,000196: 27,3206 75446 ABS SQRT # E:(10) M:(9)
058827,000197: 27,3207 77701 NORM
058828,000198: 27,3210 00050 X2 # X2 = -NA
058829,000199: 27,3211 00031 STORE TFFRTALF # SQRT( ABS(ALFA) ) E:(10+NA) M:(9+NA)
058830,000200: 27,3212 75316 DSQ SIGN # NOT SO ACCURATE, BUT OK
058831,000201: # ALFA FROM PDL+2 E:(20) M:(18)
058832,000202: 27,3213 55254 BZE BDDV # SET 1/ALFA =0, TO SHOW SMALL ALFA
058833,000203: 27,3214 57216 +2
058834,000204: 27,3215 15326 TFF1/4
058835,000205: 27,3216 00027 +2 STORE TFF1/ALF # 1/ALFA E:(-22-2 NA) M:(-20-2 NA)
058836,000206: 27,3217 77616 DUMPCNIC RVQ
058837,000207:
058838,000208: # 39 W
058839,000209:
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Page 1376
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058841,000211:
058842,000212: # SUBROUTINE NAME: TFFRP/RA DATE: 01.17.67
058843,000213: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
058844,000214: # MOD BY: RR BAIRNSFATHER
058845,000215: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
058846,000216: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
058847,000217: # ALSO IMPROVE ACCURACY OF RAPO.
058848,000218:
058849,000219: # FUNCTIONAL DESCRIPTION: USED BY CALCTPER AND TFF DISPLAYS TO CALCULATE PERIGEE RADIUS AND ALSO
058850,000220: # APOGEE RADIUS FOR A GENERAL CONIC.
058851,000221: # PROGRAM GIVES PERIGEE RADIUS AS APOGEE RADIUS IS GIVEN BY
058852,000222: # RP = P /(1+E) RA = (1+E) / ALFA
058853,000223: # WHERE 2
058854,000224: # E = 1 - P ALFA
058855,000225: # IF RA IS NEGATIVE OR SHOWS DIVIDE OVERFLOW, THEN RA = POSMAX BECAUSE
058856,000226: # 1. APOGEE RADIUS IS NOT MEANINGFUL FOR HYPERBOLA
058857,000227: # 2. APOGEE RADIUS IS NOT DEFINED FOR PARABOLA
058858,000228: # 3. APOGEE RADIUS EXCEEDS THE SCALING FOR ELLIPSE.
058859,000229:
058860,000230: # THIS SUBROUTINE REQUIRES THE SIGNED RECIPROCAL SEMI MAJ AXIS, ALFA, AND SEMI LATUS RECTUM AS DATA.
058861,000231:
058862,000232: # CALLING SEQUENCE: CALL
058863,000233: # TFFRP/RA
058864,000234:
058865,000235: # PUSHLOC = PDL+0, ARBITRARY IF LEQ 10D
058866,000236: # C(MPAC) UNSPECIFIED
058867,000237:
058868,000238: # SUBROUTINES CALLED: NONE
058869,000239:
058870,000240: # NORMAL EXIT MODE: RVQ
058871,000241: # IF ELLIPSE, WITHIN NORMAL SCALING, RAPO IS CORRECT.
058872,000242: # OTHERWISE, RAPO = POSMAX.
058873,000243:
058874,000244: # ALARMS: NONE
058875,000245:
058876,000246: # OUTPUT: STORED IN PUSH LIST AREA. SCALE OF OUTPUT AGREES WITH DATA SUPPLIED TO TFF/CONIC.
058877,000247: # RPER E:(-29) M:(-27) M PERIGEE RADIUS DESTROYED BY CALCTFF/CALCTPER, TFFTRIG.
058878,000248: # RAPO E:(-29) M:(-27) M APOGEE RADIUS WILL BE DESTROYED BY CALCTFF/CALCTPER
058879,000249: # PUSHLOC AT PDL+0
058880,000250:
058881,000251: # ERASABLE INITIALIZATION REQUIRED:
058882,000252: # TFFALFA E:(26-NR) M 1/SEMI MAJ AXIS LEFT BY TFFCONIC
058883,000253: # M:(24-NR)
058884,000254: # TFFNP E:(-38+2NR) M LC P, SEMI LATUS RECTUM LEFT BY TFFCONIC
058885,000255: # M:(-36+2NR)
058886,000256: # X1 -NR, NORM COUNT OF RMAG LEFT BY TFFCONIC
058887,000257: # X2 -NA, NORM COUNT OF ALFA LEFT BY TFFCONIC
058888,000258:
058889,000259: # DEBRIS: QPRET, PDL+0 ... PDL+1
058890,000260:
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Page 1377
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058892,000262: 27,3220 RAPO = 16D # APOGEE RADIUS M E:(-29) M:(-27)
058893,000263: 27,3220 RPER = 14D # PERIGEE RADIUS M E:(-29) M:(-27)
058894,000264:
058895,000265: 27,3220 41345 TFFRP/RA DLOAD DMP
058896,000266: 27,3221 00033 TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
058897,000267: 27,3222 00035 TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
058898,000268: 27,3223 57457 SR* DCOMP # ALFA P (-12+NR)
058899,000269: 27,3224 20571 0 -8D,1 # ALFA P (-4)
058900,000270: 27,3225 51415 DAD ABS # (DCOMP GIVES VALID TP RESULT FOR SQRT)
058901,000271: # (ABS PROTECTS SQRT IF E IS VERY NEAR 0)
058902,000272: 27,3226 31771 DP2(-4)
058903,000273: 27,3227 43366 SQRT DAD # E SQ = (1- P ALFA) (-4)
058904,000274: 27,3230 15326 TFF1/4
058905,000275: 27,3231 55206 PUSH BDDV # (1+E) (-2) TO PDL+0
058906,000276: 27,3232 00035 TFFNP # LCP M E:(-38+2NR) M:(-36+2NR)
058907,000277: 27,3233 53657 SR* SR* # (DOES SR THEN SL TO AVOID OVFL)
058908,000278: 27,3234 20601 0,1 # X1=-NR
058909,000279: 27,3235 20572 0 -7,1 # (EFFECTIVE SL)
058910,000280: 27,3236 14017 STODL RPER # PERIGEE RADIUS M E:(-29) M:(-27)
058911,000281: # (1+E) (-2) FROM PDL+0
058912,000282: 27,3237 41005 DMP BOVB
058913,000283: 27,3240 00027 TFF1/ALF # E:(-22-2NA) M:(-20-2NA)
058914,000284: 27,3241 57544 TCDANZIG # CLEAR OVFIND, IF ON.
058915,000285: 27,3242 53654 BZE SL*
058916,000286: 27,3243 57252 MAXRA # SET POSMAX, IF ALFA=0
058917,000287: 27,3244 57603 0 -5,2 # -5+NA
058918,000288: 27,3245 40057 SL* BOV
058919,000289: 27,3246 57576 0,2
058920,000290: 27,3247 57252 MAXRA # SET POSMAX IF OVFL.
058921,000291: 27,3250 77644 BPL # CONTINUE WITH VALID RAPO.
058922,000292: 27,3251 57254 +3
058923,000293: 27,3252 77745 MAXRA DLOAD # RAPO CALC IS NOT VALID. SET RAPO =
058924,000294: 27,3253 15344 NEARONE # POSMAX AS A TAG.
058925,000295: 27,3254 00021 +3 STORE RAPO # APOGEE RADIUS M E:(-29) M:(-27)
058926,000296: 27,3255 77616 DUMPRPRA RVQ
058927,000297:
058928,000298: # 30 W
058929,000299:
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Page 1378
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058931,000301:
058932,000302: # SUBROUTINE NAME: CALCTPER / CALCTFF DATE: 01.29.67
058933,000303: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
058934,000304: # MOD BY: RR BAIRNSFATHER
058935,000305: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 67
058936,000306: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 14 APR 67
058937,000307: # MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 8 JUL 67 NEAR EARTH MUE AND NEG TFF (GONEPAST)
058938,000308: # MOD NO: 4 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD VARIABLE MU.
058939,000309: # MOD NO: 5 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
058940,000310:
058941,000311: # FUNCTIONAL DESCRIPTION: PROGRAM CALCULATES THE FREE-FALL TIME OF FLIGHT FROM PRESENT POSITION RN AND
058942,000312: # VELOCITY VN TO A RADIUS LENGTH SPECIFIED BY RTERM , SUPPLIED BY THE USER. THE POSITION VECTOR
058943,000313: # RN MAY BE ON EITHER SIDE OF THE CONIC, BUT RTERM IS CONSIDERED ON THE INBOUND SIDE.
058944,000314: # THE EQUATIONS ARE
058945,000315:
058946,000316: # Q2 = -SQRT(RTERM (2-RTERM ALFA) - LCP) (INBOUND SIDE)) LEQ +- LCE/SQRT(ALFA)
058947,000317: # - -
058948,000318: # Q1 = RN.VN / SQRT(MU) LEQ +- LCE/SQRT(ALFA)
058949,000319:
058950,000320: # Z = NUM / DEN LEQ +- 1/SQRT(ALFA)
058951,000321:
058952,000322: # WHERE, IF INBOUND
058953,000323: # NUM = RTERM - RN LEQ +- 2 LCE/ALFA
058954,000324: # DEN = Q2+Q1 LEQ +- 2 LCE/SQRT(ALFA)
058955,000325:
058956,000326: # AND, IF OUTBOUND
058957,000327: # NUM = Q2-Q1 LEQ +- 2 LCE/SQRT(ALFA)
058958,000328: # DEN = 2 - ALFA (RTERM + RN) . LEQ +- 2 LCE
058959,000329:
058960,000330: # IF ALFA ZZ < 1.0 (FOR ALL CONICS EXCEPT ELLIPSES HAVING ABS(DEL ECC ANOM) G 90 DEG)
058961,000331:
058962,000332: # THEN X = ALFA Z Z
058963,000333: # AND TFF = (RTERM +RN -2 ZZ T(X) ) Z/SQRT(MU)
058964,000334:
058965,000335: # EXCEPT IF ALFA PNZ, AND IF TFF NEG,
058966,000336: # THEN TFF = 2 PI /(ALFA SQRT(ALFA)) + TFF
058967,000337:
058968,000338: # OR IF ALFA ZZ GEQ 1.0 (FOR ELLIPSES HAVING ABS(DEL ECC ANOM) GEQ 90 DEG)
058969,000339:
058970,000340: # THEN X = 1/ALFA Z Z
058971,000341: # AND TFF = (PI/SQRT(ALFA) -Q2 +Q1 +2(X T(X) -1) /ALFA Z) /ALFA SQRT(MU)
058972,000342:
058973,000343: # WHERE T(X) IS A POLYNOMIAL APPROXIMATION TO THE SERIES
058974,000344: # 2 3 2
058975,000345: # 1/3 - X/5 + X /7 - X /9 ... (X < 1.0)
058976,000346:
058977,000347: # CALLING SEQUENCE: TIME TO RTERM TIME TO PERIGEE
058978,000348: # CALL CALL
058979,000349: # CALCTFF CALCTPER
058980,000350: # C(MPAC) = TERMNL RAD M C(MPAC) = PERIGEE RAD M
058981,000351: # FOR EITHER, E: (-29) M: (-27)
058982,000352: # FOR EITHER, PUSHLOC = PDL+0 , ARBITRARY IF LEQ 8D.
|
|
Page 1379
|
058984,000354:
058985,000355: # SUBROUTINES CALLED: T(X), VIA RTB
058986,000356:
058987,000357: # NORMAL EXIT MODE: RVQ
058988,000358: # HOWEVER, PROGRAM EXITS WITH ONE OF THE FOLLOWING VALUES FOR TFF (-28) CS IN MPAC. USER MUST STORE.
058989,000359: # A. TFF = FLIGHT TIME. NORMAL CASE FOR POSITIVE FLIGHT TIME LESS THAN ONE ORBITAL PERIOD.
058990,000360: # B. (THIS OPTION IS NO LONGER USED.)
058991,000361: # C. TFF = POSMAX. THIS INDICATES THAT THE CONIC FROM THE PRESENT POSITION WILL NOT RETURN TO
058992,000362: # THE SPECIFIED ALTITUDE. ALSO INDICATES OUTBOUND PARABOLA OR HYPERBOLA.
058993,000363:
058994,000364: # OUTPUT: C(MPAC) (-28) CS TIME OF FLIGHT, OR TIME TO PERIGEE
058995,000365: # TFFX (0) X, LEFT FOR ENTRY DISPLAY TFF ROUTINES
058996,000366: # NRTERM E: (-29+NR) M RTERM, WEIGHTED BY NR LEFT FOR ENTRY DISPLAY TFF ROUTINES
058997,000367: # M: (-27+NR)
058998,000368: # TFFTEM E: (-59+2NR) LCP Z Z SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
058999,000369: # M: (-55+2NR) LCP /ALFA SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
059000,000370: # NOTE: TFFTEM = PDL 36D AND WILL BE DESTROYED BY .:UNIT:.
059001,000371: # RMAG1 E:(-29) M:(-27) PDL 12 NOT TOUCHED.
059002,000372: # TFFQ1 E:(-16) M:(-15) PDL 14D
059003,000373: # TFFDELQ E:(-16) M:(-15) PDL 10D
059004,000374: # PUSHLOC AT PDL+0
059005,000375:
059006,000376: # ERASABLE INITIALIZATION REQUIRED:
059007,000377: # RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY USER
059008,000378: # VONE' E:(+10) M:(+9) VN/SQRT(MU) LEFT BY TFF/CONIC
059009,000379: # RMAG1 E:(-29) M:(-27) PRESENT RADIUS, M LEFT BY TFFCONIC
059010,000380: # C(MPAC) E:(-29) M:(-27) RTERM, TERMINAL RADIUS LENGTH, M LEFT BY USER
059011,000381:
059012,000382: # THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
059013,000383: # TFF/RTMU E:(17) M:(14) 1/SQRT(MU) LEFT BY TFFCONIC.
059014,000384: # NRMAG E: (-29+NR) M RMAG, NORMALIZED LEFT BY TFFCONIC
059015,000385: # M: (-27+NR)
059016,000386: # X1 -NR, NORM COUNT LEFT BY TFFCONIC
059017,000387: # TFFNP E: (-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHT NR LEFT BY TFFCONIC
059018,000388: # M: (-36+2NR)
059019,000389: # TFFALFA E: (26-NR) 1/M ALFA, WEIGHT NR LEFT BY TFFCONIC
059020,000390: # M: (24-NR)
059021,000391: # TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED LEFT BY TFFCONIC
059022,000392: # M:(9+NA)
059023,000393: # X2 -NA, NORM COUNT LEFT BY TFFCONIC
059024,000394: # TFF1/ALF E: (-22-2NA) SIGNED SEMIMAJ AXIS, WEIGHTED BY NA LEFT BY TFFCONIC
059025,000395: # M: (-20-2NA)
059026,000396:
059027,000397: # DEBRIS: QPRET, PDL+0 ... PDL+3
059028,000398: # RTERM E:(-29) M:(-27) RTERM, TERMINAL RADIUS LENGTH
059029,000399: # RAPO E:(-29) M:(-27) PDL 16D (=NRTERM)
059030,000400: # RPER E:(-29) M:(-27) PDL 14D (=TFFQ1)
059031,000401:
|
|
Page 1380
|
059033,000403: 27,3256 77614 CALCTPER SETGO # ENTER WITH RPER IN MPAC
059034,000404: 27,3257 03436 TFFSW
059035,000405: 27,3260 57263 +3
059036,000406: 27,3261 77614 CALCTFF CLEAR # ENTER WITH RTERM IN MPAC
059037,000407: 27,3262 03676 TFFSW
059038,000408: 27,3263 00023 +3 STORE RTERM # E: (-29) M: (-27)
059039,000409: 27,3264 77657 SL*
059040,000410: 27,3265 20201 0,1 # X1=-NR
059041,000411: 27,3266 00021 STORE NRTERM # RTERM E: (-29+NR) M: (-27+NR)
059042,000412: 27,3267 44205 DMP BDSU
059043,000413: 27,3270 00033 TFFALFA # ALFA E: (26-NR) M: (24-NR)
059044,000414: 27,3271 15326 TFF1/4
059045,000415: 27,3272 41206 PUSH DMP # (2-ALFA RTERM) (-3) TO PDL+0
059046,000416: 27,3273 00021 NRTERM # E: (-29+NR) M: (-27+NR)
059047,000417: 27,3274 53725 PDDL SR* # RTERM(2-ALFA RTERM) TO PDL+2
059048,000418: # E: (-32+NR) M: (-30+NR)
059049,000419: 27,3275 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
059050,000420: 27,3276 20573 0 -6,1 # X1 = -NR
059051,000421: 27,3277 43276 DCOMP DAD # DUE TO SHIFTS, KEEP PRECISION FOR SQRT
059052,000422: # RTERM(2-ALFA RTERM) FROM PDL +2
059053,000423: # E: (-32+NR) M: (-30+NR)
059054,000424: 27,3300 77657 SR* # LEAVE E: (-32) M: (-30)
059055,000425: 27,3301 20601 0,1 # X1 = -NR
059056,000426: 27,3302 71214 BOFF DLOAD # CHECK TFF /TPER SWITCH
059057,000427: 27,3303 03756 TFFSW
059058,000428: 27,3304 57306 +2 # IF TFF, CONTINUE
059059,000429: 27,3305 15336 TFFZEROS # IF TPER, SET Q2 = 0
059060,000430: 27,3306 75440 +2 BMN SQRT # E: (-16) M: (-15)
059061,000431:
059062,000432: 27,3307 57441 MAXTFF1 # NO FREE FALL CONIC TO RTERM FROM HERE
059063,000433: # RESET PDL, SET TFF=POSMAX, AND EXIT.
059064,000434:
059065,000435: 27,3310 41076 DCOMP BOVB # RT IS ON INBOUND SIDE. ASSURE OVFIND=0
059066,000436: 27,3311 57544 TCDANZIG # ANY PORT IN A STORM.
059067,000437: 27,3312 24045 STOVL TFFTEM # Q2 E: (-16) M: (-15)
059068,000438: 27,3313 02362 VONE' # VN/SQRT(MU) E: (10) M: (9)
059069,000439: 27,3314 52441 DOT SL3
059070,000440: 27,3315 02320 RONE # SAVED RN. E: (-29) M: (-27)
059071,000441: 27,3316 00017 STORE TFFQ1 # Q1, SAVE FOR GONEPAST TEST.
059072,000442: # E: (-16) M: (-15)
059073,000443: 27,3317 44240 BMN BDSU
059074,000444: 27,3320 57341 INBOUND # USE ALTERNATE Z
059075,000445: 27,3321 00045 TFFTEM # Q2 E: (-16) M: (-15)
059076,000446:
059077,000447: # OUTBOUND Z CALC CONTINUES HERE
059078,000448:
059079,000449: 27,3322 14043 STODL TFFX # NUM=Q2-Q1 E: (-16) M: (-15)
059080,000450: 27,3323 00033 TFFALFA # ALFA E: (26-NR) M: (24-NR)
059081,000451: 27,3324 44205 DMP BDSU
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|
Page 1381
|
059083,000453: 27,3325 00041 NRMAG # RMAG E: (-29+NR) M: (-27+NR)
059084,000454: # (2-RTERM ALFA) (-3) FROM PDL+0
059085,000455: 27,3326 51406 SAVEDEN PUSH ABS # DEN TO PDL+0 E: (-3) OR (-16)
059086,000456: # M: (-3) OR (-15)
059087,000457: 27,3327 40015 DAD BOV # INDETERMINANCY TEST
059088,000458: 27,3330 31763 LIM(-22) # =1.0-B(-22)
059089,000459: 27,3331 57352 TFFXTEST # GO IF DEN >/= B(-22)
059090,000460: 27,3332 65345 DLOAD PDDL # SET DEN=0 OTHERWISE
059091,000461: 27,3333 15336 TFFZEROS
059092,000462: # XCH ZERO WITH PDL+0
059093,000463: 27,3334 57545 DLOAD DCOMP
059094,000464: 27,3335 00033 TFFALFA # ALFA E: (26-NR) M: (24-NR)
059095,000465: 27,3336 71240 BMN DLOAD # FOR TPER: Z INDET AT DELE/2=0 AND 90.
059096,000466: 27,3337 57446 TFFEL1 # ASSUME 90, AND LEAVE 0 IN PDL: 1/Z=D/N
059097,000467:
059098,000468: # Z INDET. AT PERIGEE FOR PARAB OR HYPERB.
059099,000469: 27,3340 77616 DUMPTFF1 RVQ # RETURN TFF =0
059100,000470:
059101,000471: # INBOUND Z CALC CONTINUES HERE
059102,000472: 27,3341 77745 INBOUND DLOAD # RESET PDL+0
059103,000473: 27,3342 45345 DLOAD DSU # ALTERNATE Z CALC
059104,000474: 27,3343 00023 RTERM # E: (-29) M: (-27)
059105,000475: 27,3344 00015 RMAG1 # E: (-29) M: (-27)
059106,000476: 27,3345 14043 STODL TFFX # NUM=RTERM-RN E: (-29) M: (-27)
059107,000477: 27,3346 00045 TFFTEM # Q2 E: (-16) M: (-15)
059108,000478: 27,3347 52015 DAD GOTO
059109,000479: 27,3350 00017 TFFQ1 # Q1 E: (-16) M:(-15)
059110,000480: 27,3351 57326 SAVEDEN # DEN = Q2+Q1 E: (-16) M: (-15)
059111,000481:
059112,000482: 27,3352 65215 TFFXTEST DAD PDDL # (ABS(DEN) TO PDL+2)) E: (-3) OR (-16)
059113,000483: # M: (-3) OR (-15)
059114,000484: 27,3353 31765 DP(-22) # RESTORE ABS(DEN) TO MPAC
059115,000485: 27,3354 00043 TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
059116,000486: 27,3355 53605 DMP SR*
059117,000487: 27,3356 00031 TFFRTALF # SQRT(ALFA) E: (10+NA) M: (9+NA)
059118,000488: 27,3357 57201 0 -3,2 # X2=-NA
059119,000489: 27,3360 77671 DDV # C(MPAC) =NUM SQRT(ALFA) E:(-3) OR (-16)
059120,000490: # M:(-3) OR (-15)
059121,000491: # ABS(DEN) FROM PDL+2 E:(-3) OR (-16)
059122,000492: # M:(-3) OR (-15)
059123,000493: 27,3361 40145 DLOAD BOV # (THE DLOAD IS SHARED WITH TFFELL)
059124,000494: 27,3362 00043 TFFX # NUM E: (-16) OR (-29) M:(-15) OR (-27)
059125,000495: 27,3363 57444 TFFELL # USE EQN FOR DELE GEQ 90, LEQ -90
059126,000496:
059127,000497: # OTHERWISE, CONTINUE FOR GENERAL CONIC FOR TFF EQN
059128,000498:
059129,000499: 27,3364 45471 DDV STADR
059130,000500: # DEN FROM PDL+0 E: (-3) OR (-16)
059131,000501: # M: (-3) OR (-15)
059132,000502: 27,3365 77732 STORE TFFTEM # Z SAVE FOR SIGN OF SDELF.
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|
Page 1382
|
059134,000504: # E: (-13) M: (-12)
059135,000505: 27,3366 63406 PUSH DSQ # Z TO PDL+0
059136,000506: 27,3367 41206 PUSH DMP # Z SQ TO PDL+2 E: (-26) M: (-24)
059137,000507: 27,3370 00035 TFFNP # LC P E: (-38+2NR) M: (-36+2NR)
059138,000508: 27,3371 75261 SL SIGN
059139,000509: 27,3372 20206 5
059140,000510: 27,3373 00045 TFFTEM # AFFIX SIGN FOR SDELF (ENTRY DISPLAY)
059141,000511: 27,3374 14045 STODL TFFTEM # P ZSQ E: (-59+2NR) M: (-55+2NR)
059142,000512: # (ARG IS USED IN TFF/TRIG)
059143,000513: # ZSQ FROM PDL+2 E: (-26) M: (-24)
059144,000514: 27,3375 41206 PUSH DMP # RESTORE PUSH LOC
059145,000515: 27,3376 00033 TFFALFA # ALFA E: (26-NR) M: (24-NR)
059146,000516: 27,3377 77657 SL*
059147,000517: 27,3400 20201 0,1 # X1=-NR
059148,000518: 27,3401 00043 STORE TFFX # X
059149,000519: 27,3402 41234 RTB DMP
059150,000520: 27,3403 57526 T(X) # POLY
059151,000521: # ZSQ FROM PDL+2 E: (-26) M: (-24)
059152,000522: 27,3404 44302 SR2 BDSU # 2 ZSQ T(X) E: (-29) M: (-27)
059153,000523: 27,3405 00023 RTERM # RTERM E: (-29) M: (-27)
059154,000524: 27,3406 41215 DAD DMP
059155,000525: 27,3407 00015 RMAG1 # E: (-29) M: (-27)
059156,000526: # Z FROM PDL+0 E: (-13) M: (-12)
059157,000527: 27,3410 51042 SR3 BPL # TFF SQRT(MU) E: (-45) M: (-42)
059158,000528: 27,3411 57432 ENDTFF # (NO PUSH UP)
059159,000529: 27,3412 75206 PUSH SIGN # TFF SQRT(MU) TO PDL+0
059160,000530: 27,3413 00017 TFFQ1 # Q1 FOR GONEPAST TEST
059161,000531: 27,3414 71244 BPL DLOAD # GONE PAST ?
059162,000532: 27,3415 57436 NEGTFF # YES. TFF < 0.
059163,000533: 27,3416 00027 TFF1/ALF # 1/ALFA E: (-22-2NA) M: (-20-2NA)
059164,000534: 27,3417 51076 DCOMP BPL # ALFA > 0 ?
059165,000535: 27,3420 57436 NEGTFF # NO. TFF IS NEGATIVE.
059166,000536:
059167,000537: # CORRECT FOR ORBITAL PERIOD.
059168,000538:
059169,000539: 27,3421 77676 DCOMP # YES. CORRECT FOR ORB PERIOD.
059170,000540: 27,3422 56205 DMP DDV
059171,000541: 27,3423 31761 PI/16 # 2 PI (-5)
059172,000542: 27,3424 00031 TFFRTALF # SQRT(ALFA) E: (10+NA) M: (9+NA)
059173,000543: 27,3425 53657 SL* SL*
059174,000544: 27,3426 57602 0 -4,2 # X2=-NA
059175,000545: 27,3427 57602 0 -4,2
059176,000546: 27,3430 43257 SL* DAD
059177,000547: 27,3431 57576 0,2
059178,000548: # TFF SQRT(MU) FROM PDL+0 E:(-45) M:(-42)
059179,000549: 27,3432 40005 ENDTFF DMP BOV # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
059180,000550: 27,3433 00037 TFF/RTMU # E: (17) M: (14)
059181,000551: 27,3434 57442 MAXTFF # SET POSMAX IF OVFL.
059182,000552:
059183,000553: 27,3435 77616 DUMPTFF2 RVQ # RETURN TFF (-28) CS IN MPAC.
059184,000554:
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|
Page 1383
|
059186,000556: 27,3436 77745 NEGTFF DLOAD
059187,000557: # TFF SQRT(MU) FROM PDL+0, NEGATIVE.
059188,000558: 27,3437 77650 GOTO
059189,000559: 27,3440 57432 ENDTFF
059190,000560:
059191,000561: 27,3441 77745 MAXTFF1 DLOAD # RESET PDL
059192,000562: 27,3442 43545 MAXTFF DLOAD RVQ
059193,000563: 27,3443 15344 NEARONE
059194,000564:
059195,000565: # TIME OF FLIGHT ELLIPSE WHEN DEL (ECCENTRIC ANOM) GEQ 90 AND LEQ -90.
059196,000566:
059197,000567: # NUM FROM TFFX. E: (-16) OR (-29)
059198,000568: # M: (-15) OR (-27)
059199,000569: 27,3444 77712 TFFELL SL2 # NUM E:(-14) OR (-27) M:(-13) OR (-25)
059200,000570: 27,3445 41465 BDDV PUSH # TEMP SAVE D/N IN PDL+0
059201,000571: # DEN FROM PDL+0 E:(-3)/( 16) M:(-3)/(-15)
059202,000572: # N/D TO PDL+0 E: (11) M: (10)
059203,000573: 27,3446 45345 TFFEL1 DLOAD DSU # (ENTER WITH D/N=0 IN PDL+0)
059204,000574: 27,3447 00045 TFFTEM # Q2 E: (-16) M: (-15)
059205,000575: 27,3450 00017 TFFQ1 # Q1 E: (-16) M: (-15)
059206,000576: 27,3451 14013 STODL TFFDELQ # Q2-Q1 E: (-16) M: (-15)
059207,000577: # D/N FROM PDL+0
059208,000578: 27,3452 77626 STADR
059209,000579: 27,3453 77732 STORE TFFTEM # D/N E: (11) M: (10)
059210,000580: 27,3454 53605 DMP SL*
059211,000581: 27,3455 00027 TFF1/ALF # 1/ALFA E: (-22-2NA) M: (-20-2NA)
059212,000582: 27,3456 57576 0,2 # 1/ALFA Z E: (-11-NA) M: (-10-NA)
059213,000583: 27,3457 41206 PUSH DMP # TO PDL+0
059214,000584: 27,3460 00045 TFFTEM # 1/Z E: (11) M: (10)
059215,000585: 27,3461 41057 SL* BOVB
059216,000586: 27,3462 57576 0,2 # X2= -NA
059217,000587: 27,3463 45761 SIGNMPAC # IN CASE X= 1.0, CONTINUE
059218,000588: 27,3464 00043 STORE TFFX # X=1/ALFA ZSQ
059219,000589: 27,3465 41234 RTB DMP
059220,000590: 27,3466 57526 T(X) # POLY
059221,000591: 27,3467 00043 TFFX
059222,000592: 27,3470 45242 SR3 DSU
059223,000593: 27,3471 31767 DP2(-3)
059224,000594: 27,3472 41405 DMP PUSH # 2(X T(X)-1) /Z ALFA E: (-15-NA)
059225,000595: # M: (-14-NA)
059226,000596: # 1/ALFA Z FROM PDL+0 E: (-11-NA)
059227,000597: # M: (-10-NA)
059228,000598: 27,3473 41345 DLOAD DMP # GET SIGN FOR SDELF
059229,000599: 27,3474 00045 TFFTEM # 1/Z E: (11) M: (10)
059230,000600: 27,3475 00015 RMAG1 # E: (-29) M: (-27)
059231,000601: 27,3476 43312 SL2 DAD
059232,000602: 27,3477 00017 TFFQ1 # Q1 E: (-16) M: (-15)
059233,000603: 27,3500 14045 STODL TFFTEM # (Q1+R 1/Z) =SGN OF SDELF E:(-16) M:(-15
059234,000604: 27,3501 00035 TFFNP # LC P E: (-38+2NR) M: (-36+2NR)
059235,000605: 27,3502 53605 DMP SL* # CALC FOR ARG FOR TFF/TRIG.
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|
Page 1384
|
059237,000607: 27,3503 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
059238,000608: 27,3504 57575 1,2 # X2=-NA
059239,000609: 27,3505 53765 SIGN SL*
059240,000610: 27,3506 00045 TFFTEM # AFFIX SIGN FOR SDELF
059241,000611: 27,3507 57576 0,2
059242,000612: 27,3510 14045 STODL TFFTEM # P/ALFA E:(-59+2NR) M:(-55+2NR)
059243,000613: # (ARG FOR USE IN TFF/TRIG)
059244,000614: 27,3511 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
059245,000615: 27,3512 41366 SQRT DMP
059246,000616: 27,3513 31761 PI/16 # PI (-4)
059247,000617: 27,3514 77615 DAD
059248,000618: # 2(XT(X)-1)/Z ALFA FROM PDL E:(-15-NA)
059249,000619: # M:(-14-NA)
059250,000620: 27,3515 45257 SL* DSU
059251,000621: 27,3516 57577 0 -1,2
059252,000622: 27,3517 00013 TFFDELQ # Q2-Q1 E: (-16) M: (-15)
059253,000623: 27,3520 53605 DMP SL*
059254,000624: 27,3521 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
059255,000625: 27,3522 57601 0 -3,2
059256,000626: 27,3523 52057 SL* GOTO
059257,000627: 27,3524 57602 0 -4,2
059258,000628: 27,3525 57432 ENDTFF # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
059259,000629:
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|
Page 1385
|
059261,000631:
059262,000632: # PROGRAM NAME: T(X) DATE: 01.17.67
059263,000633: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
059264,000634: # MOD BY: RR BAIRNSFATHER
059265,000635:
059266,000636: # FUNCTIONAL DESCRIPTION: THE POLYNOMIAL T(X) IS USED BY TIME OF FLIGHT SUBROUTINES CALCTFF AND
059267,000637: # CALCTPER TO APPROXIMATE THE SERIES
059268,000638: # 2 3
059269,000639: # 1/3 -X/5 +X /7 -X /9 ...
059270,000640:
059271,000641: # WHERE X = ALFA Z Z IF ALFA Z Z LEQ 1
059272,000642: # X = 1/(ALFA Z Z) IF ALFA Z Z G 1
059273,000643:
059274,000644: # ALSO X IS NEG FOR HYPERBOLIC ORBITS
059275,000645: # X = 0 FOR PARABOLIC ORBITS
059276,000646: # X IS POSITIVE FOR ELLIPTIC ORBITS
059277,000647: # FOR FLIGHT 278, THE POLYNOMIAL T(X) IS FITTED OVER THE RANGE (0,+1) AND HAS A MAXIMUM
059278,000648: # DEVIATION FROM THE SERIES OF 2 E-5 (T(X) IS A CHEBYCHEV TYPE FIT AND WAS OBTAINED USING
059279,000649: # MAC PROGRAM AUTCURFIT294RRB AND IS VALID TO THE SAME TOLERANCE OVER THE RANGE (-.08,+1). )
059280,000650:
059281,000651: # CALLING SEQUENCE: RTB
059282,000652: # T(X)
059283,000653: # C(MPAC) = X
059284,000654:
059285,000655: # SUBROUTINES CALLED: NONE
059286,000656:
059287,000657: # NORMAL EXIT MODE: TC DANZIG
059288,000658:
059289,000659: # ALARMS: NONE
059290,000660:
059291,000661: # OUTPUT: C(MPAC) = T(X)
059292,000662:
059293,000663: # ERASABLE INITIALIZATION REQUIRED:
059294,000664: # C(MPAC) = X
059295,000665:
059296,000666: # DEBRIS: NONE
059297,000667:
059298,000668: 27,3526 07171 T(X) TC POLY
059299,000669: 27,3527 00004 DEC 4 B-14 # N-1
059300,000670: 27,3530 12525 12525 2DEC 3.333333333 E-1
059301,000671: 27,3532 71463 57703 2DEC* -1.999819135 E-1*
059302,000672: 27,3534 04423 17645 2DEC* 1.418148467 E-1*
059303,000673: 27,3536 74604 43667 2DEC* -1.01310997 E-1*
059304,000674: 27,3540 01626 37256 2DEC* 5.609004986 E-2*
059305,000675: 27,3542 77404 52071 2DEC* -1.536156925 E-2*
059306,000676:
059307,000677: 27,3544 06030 ENDT(X) TC DANZIG
059308,000678:
059309,000679: 27,3545 27,3544 TCDANZIG = ENDT(X)
059310,000680:
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|
Page 1386
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059312,000682: # TFF CONSTANTS
059313,000683:
059314,000684: 34,2000 SETLOC TOF-FF1
059315,000685: 34,2000 BANK
059316,000686:
059317,000687: 34,3756 COUNT* $$/TFF
059318,000688: # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
059319,000689:
|
|
(JL,2009-08-21) The Artemis072 page scan for the following three lines is garbled
(lines 0660, 0661, 0662 in the original printout), due to what looks like overprinting
in the original printout. I checked the generated octal (which is not overprinted)
against the Comanche055 listing and they are both identical.
|
059324,000694:
059325,000695: # MUE = 3.990815471 E10 M CUBE/CS SQ
059326,000696: # RTMUE = 1.997702549 E5 B-18* MODIFIED EARTH MU
059327,000697:
059328,000698: 34,3756 24775 30424 1/RTMU 2DEC* .5005750271 E-5 B17* # MODIFIED EARTH MU
059329,000699:
|
|
(JL,2009-08-21) End of garbled section.
|
059331,000701:
059332,000702: # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
059333,000703: # MUM = 4.902778 E8 M CUBE/CS SQ
059334,000704: # RTMUM 2DEC* 2.21422176 E4 B-18*
059335,000705: 34,3760 06220 37553 PI/16 2DEC 3.141592653 B-4
059336,000706: 34,3762 37777 37700 LIM(-22) 2OCT 3777737700 # 1.0 -B(-22)
059337,000707: 34,3764 00000 00100 DP(-22) 2OCT 0000000100 # B(-22)
059338,000708: 34,3766 04000 00000 DP2(-3) 2DEC 1 B-3
059339,000709: 34,3770 02000 00000 DP2(-4) 2DEC 1 B-4 # 1/16
059340,000710:
059341,000711: # RPAD1 2DEC 6373338 B-29 M (-29) = 20 909 901.57 FT
059342,000712: 34,3772 22,3172 RPAD1 = RPAD
059343,000713: 34,3772 26,3343 NEARONE EQUALS DPPOSMAX
059344,000714: 34,3772 26,3335 TFFZEROS EQUALS HI6ZEROS
059345,000715: 34,3772 26,3325 TFF1/4 EQUALS HIDP1/4
End of include-file TIME_OF_FREE_FALL.agc. Parent file is MAIN.agc