Source Code
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These source-code files are part of a reconstructed copy of Comanche 051, the
original release of the Apollo 11 Command Module (CM) Apollo Guidance Computer
(AGC) software.
The reconstruction began with source code of Comanche 055 previously transcribed
from a digitized copy of that program. The code was then updated by undoing
changes related to the R-2 lunar potential model, using hints from program
comments and change-indicating asterisks in the Comanche 055 listing as a guide.
The reconstruction was verified by matching memory-bank checksums to those listed
in drawing 2021153D. Note that page numbers in the reconstructed code match those
on the Comanche 055 printout, although the added code would likely have changed page
numbers for a real Comanche 051 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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058265,000002: ## Copyright: Public domain.
058266,000003: ## Filename: TIME_OF_FREE_FALL.agc
058267,000004: ## Purpose: A section of Comanche revision 051.
058268,000005: ## It is part of the reconstructed source code for the
058269,000006: ## original release of the flight software for the Command
058270,000007: ## Module's (CM) Apollo Guidance Computer (AGC) for Apollo 11.
058271,000008: ## The code has been recreated from a copy of Comanche 055. It
058272,000009: ## has been adapted such that the resulting bugger words
058273,000010: ## exactly match those specified for Comanche 51 in NASA drawing
058274,000011: ## 2021153D, which gives relatively high confidence that the
058275,000012: ## reconstruction is correct.
058276,000013: ## Reference: pp. 1373-1388
058277,000014: ## Assembler: yaYUL
058278,000015: ## Contact: Ron Burkey <info@sandroid.org>.
058279,000016: ## Website: www.ibiblio.org/apollo/index.html
058280,000017: ## Mod history: 2019-07-30 MAS Created from Comanche 55.
058281,000018:
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Page 1373
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058283,000020: # THE TFF SUBROUTINES MAY BE USED IN EITHER EARTH OR MOON CENTERED COORDINATES. THE TFF ROUTINES NEVER
058284,000021: # KNOW WHICH ORIGIN APPLIES. IT IS THE USER WHO KNOWS, AND WHO SUPPLIES RONE, VONE AND 1/SQRT(MU) AT THE
058285,000022: # APPROPRIATE SCALE LEVEL FOR THE PROPER PRIMARY BODY.
058286,000023:
058287,000024: # EARTH ORIGIN POSITION -29 METERS
058288,000025: # VELOCITY -7 METERS/CENTISECOND
058289,000026: # 1/SQRT(MU) +17 SQRT(CS SQ/METERS CUBED)
058290,000027:
058291,000028: # MOON ORIGIN POSITION -27 METERS
058292,000029: # VELOCITY -5 METERS/CENTISECONDS
058293,000030: # 1/SQRT(MU) +14 SQRT(CS SQ/METERS CUBED)
058294,000031:
058295,000032: # ALL DATA PROVIDED TO AND RECEIVED FROM ANY TFF SUBROUTINE WILL BE AT ONE OF THE LEVELS ABOVE. IN ALL CASES,
058296,000033: # THE FREE FALL TIME IS RETURNED IN CENTISECONDS AT (-28). PROGRAM TFF/CONIC WILL GENERATE VONE/RTMU AND
058297,000034: # LEAVE IT IN VONE' AT (+10) IF EARTH ORIGIN AND (+9) IF MOON ORIGIN.
058298,000035:
058299,000036: # THE USER MUST STORE THE STATE VECTOR IN RONE, VONE AND MU IN THE FORM 1/SQRT(MU) IN TFF/RTMU
058300,000037: # AT THE PROPER SCALE BEFORE CALLING TFF/CONIC. SINCE RONE, VONE ARE IN THE EXTENDED VERB STORAGE AREA,
058301,000038: # THE USER MUST ALSO LOCK OUT THE EXTENDED VERBS, AND RELEASE THEM WHEN FINISHED.
058302,000039:
058303,000040: # PROGRAMS CALC/TFF AND CALC/TPER ASSUME THAT THE TERMINAL RADIUS IS LESS THAN THE PRESENT
058304,000041: # RADIUS. THIS RESTRICTION CAN BE REMOVED BY A 15 W CODING CHANGE, BUT AT PRESENT IT IS NOT DEEMED NECESSARY.
058305,000042:
058306,000043: # THE FOLLOWING ERASABLE QUANTITIES ARE USED BY THE TFF ROUTINES, AND ARE LOCATED IN THE PUSH LIST.
058307,000044:
058308,000045: # BELOW E: IS USED FOR EARTH ORIGIN SCALE
058309,000046: # M: IS USED FOR MOON ORIGIN SCALE
058310,000047:
058311,000048: # TFFSW = 119D BIT1 0 = CALCTFF 1 = CALCTPER
058312,000049: 23,3772 TFFDELQ = 10D # Q2-Q1 E: (-16) M: (-15)
058313,000050: 23,3772 RMAG1 = 12D # ABVAL(RN) M E: (-29) M: (-27)
058314,000051: # RPER = 14D PERIGEE RADIUS M E: (-29) M: (-27)
058315,000052: 23,3772 TFFQ1 = 14D # R.V / SQRT(MUE) E: (-16) M: (-15)
058316,000053: # SDELF/2 SIN(THETA) /2
058317,000054: 23,3772 CDELF/2 = 14D # COS(THETA) /2
058318,000055: # RAPO = 16D APOGEE RADIUS M E: (-29) M: (-27)
058319,000056: 23,3772 NRTERM = 16D # TERMINAL RADIUS M E: (-29+NR)
058320,000057: # M: (-27+NR)
058321,000058: 23,3772 RTERM = 18D # TERMINAL RADIUS M E: (-29) M: (-27)
058322,000059: 23,3772 TFFVSQ = 20D # -(V SQUARED/MU) 1/M E: (20) M: (18)
058323,000060: 23,3772 TFF1/ALF = 22D # SEMI MAJ AXIS M E: (-22-2 NA)
058324,000061: # M: (-20-2 NA)
058325,000062: 23,3772 TFFRTALF = 24D # SQRT(ALFA) E:(10+NA) M: (9+NA)
058326,000063: 23,3772 TFFALFA = 26D # ALFA 1/M E:(26-NR) M: (24-NR)
058327,000064: 23,3772 TFFNP = 28D # SEMI LATUS RECTUM M E: (-38+2 NR)
058328,000065: # M: (-36+2 NR)
058329,000066: 23,3772 TFF/RTMU = 30D # 1/SQRT(MU) E: (17) M: (14)
058330,000067: 23,3772 NRMAG = 32D # PRESENT RADIUS M E: (-29+NR)
058331,000068: # M: (-27+NR)
058332,000069: 23,3772 TFFX = 34D
058333,000070: 23,3772 TFFTEM = 36D # TEMPORARY
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Page 1374
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058335,000072: # REGISTERS S1, S2 ARE UNTOUCHED BY ANY TFF SUBROUTINE
058336,000073: # INDEX REGISTERS X1, X2 ARE USED BY ALL TFF SUBROUTINES. THEY ARE ESTAB-
058337,000074: # LISHED IN TFF/CONIC AND MUST BE PRESERVED BETWEEN CALLS TO SUBSEQUENT
058338,000075: # SUBROUTINES.
058339,000076: # -NR C(X1) = NORM COUNT OF RMAG
058340,000077: # -NA C(X2) = NORM COUNT OF SQRT(ABS(ALFA))
058341,000078:
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Page 1375
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058343,000080: # SUBROUTINE NAME: TFFCONIC DATE: 01.29.67
058344,000081: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
058345,000082: # MOD BY: RR BAIRNSFATHER
058346,000083: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
058347,000084: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD MOON MU.
058348,000085: # MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
058349,000086:
058350,000087: # FUNCTIONAL DESCRIPTION: THIS SUBROUTINE IS CALLED TO COMPUTE THOSE CONIC PARAMETERS REQUIRED BY THE TFF
058351,000088: # SUBROUTINES AND TO ESTABLISH THEM IN THE PUSH LIST AREA. THE PARAMETERS ARE LISTED UNDER OUTPUT.
058352,000089: # THE EQUATIONS ARE
058353,000090: # - - -
058354,000091: # H = RN*VN ANGULAR MOMENTUM
058355,000092: # - -
058356,000093: # LCP = H.H / MU SEMI LATUS RECTUM
058357,000094: # - -
058358,000095: # ALFA = 2/RN - VN.VN / MU RECIPROCAL SEMI MAJ AXIS, SIGNED
058359,000096:
058360,000097: # AND ALFA IS POS FOR ELLIPTIC ORBITS
058361,000098: # 0 FOR PARABOLIC ORBITS
058362,000099: # NEG FOR HYPERBOLIC ORBITS.
058363,000100: # SUBROUTINE ALSO COMPUTES AND SAVES RMAG.
058364,000101:
058365,000102: # CALLING SEQUENCE:
058366,000103: # TFFCONIC EXPECTS CALLER TO ENTER WITH CORRECT GRAVITATIONAL CONSTANT IN MPAC, IN THE FORM
058367,000104: # 1/SQRT(MU). PROGRAM WILL SAVE IN TFF/RTMU. THE SCALE IS DETERMINED BY WHETHER EARTH OR MOON
058368,000105: # ORIGIN IS USED. THE CALLER MUST LOCK OUT THE EXTENDED VERBS BEFORE PROVIDING STATE VECTOR IN RONE,
058369,000106: # VONE AT PROPER SCALE. THE EXTENDED VERBS MUST BE RESTORED WHEN THE CALLER IS FINISHED USING THE
058370,000107: # TFF ROUTINES.
058371,000108:
058372,000109: # ENTRY POINT TFFCONMU EXPECTS THAT TFF/RTMU IS ALREADY LOADED.
058373,000110:
058374,000111: # TO SPECIFY MU: DLOAD CALL IF MU ALREADY STORED: CALL
058375,000112: # YOURMU 1/RTMU E:(17) M:(14) TFFCONMU
058376,000113: # TFFCONIC
058377,000114: # PUSHLOC = PDL+0, ARBITRARY IF LEQ 18D
058378,000115:
058379,000116: # SUBROUTINES CALLED: NONE
058380,000117:
058381,000118: # NORMAL EXIT MODES: RVQ
058382,000119:
058383,000120: # ALARMS: NONE
058384,000121:
058385,000122: # OUTPUT: THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
058386,000123: # RMAG1 E:(-29) M:(-27) M RN, PRESENT RADIUS LENGTH.
058387,000124: # NRMAG E:(-29+NR) M RMAG, NORMALIZED
058388,000125: # M:(-27+NR)
058389,000126: # X1 -NR, NORM COUNT
058390,000127: # TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHTED BY NR. FOR VGAMCALC
058391,000128: # M:(-36+2NR)
058392,000129: # TFF/RTMU E:(17) M:(14) 1/SQRT(MU)
058393,000130: # TFFVSQ E:(20) M:(18) 1/M -(V SQ/MU): PRESENT VELOCITY, NORMLIZED. FOR VGAMCALC
058394,000131: # TFFALFA E:(26-NR) 1/M ALFA, WEIGHTED BY NR
058395,000132: # M:(24-NR)
058396,000133: # TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED
058397,000134: # M:(9+NA)
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Page 1376
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058399,000136: # X2 -NA, NORM COUNT
058400,000137: # TFF1/ALF E:(-22-2NA) SIGNED SEMI MAJ AXIS, WEIGHTED BY NA
058401,000138: # M:(-20-2NA)
058402,000139: # PUSHLOC AT PDL+0
058403,000140:
058404,000141: # THE FOLLOWING IS STORED IN GENERAL ERASABLE
058405,000142: # VONE' E:(10) M:(9) V/RT(MU), NORMALIZED VELOCITY
058406,000143:
058407,000144: # ERASABLE INITIALIZATION REQUIRED:
058408,000145: # RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY CALLER
058409,000146: # VONE E:(-7) M:(-5) M/CS STATE VECTOR LEFT BY CALLER
058410,000147: # TFF/RTMU E:(17) M:(14) 1/RT(CS SQ/M CUBE) IF ENTER VIA TFFCONMU.
058411,000148:
058412,000149: # DEBRIS: QPRET, PDL+0 ... PDL+3
058413,000150:
058414,000151: 33,3776 BANK 33
058415,000152: 27,2000 SETLOC TOF-FF
058416,000153: 27,2000 BANK
058417,000154:
058418,000155: 27,2757 COUNT* $$/TFF
058419,000156:
058420,000157: 27,2757 00037 TFFCONIC STORE TFF/RTMU # 1/SQRT(MU) E:(17) M:(14)
058421,000158:
058422,000159: 27,2760 53575 TFFCONMU VLOAD UNIT # COME HERE WITH TFFRTMU LOADED.
058423,000160: 27,2761 02327 RONE # SAVED RN. M E:(-29) M:(-27)
058424,000161: 27,2762 77725 PDDL # UR/2 TO PDL+0, +5
058425,000162: 27,2763 00045 36D # MAGNITUDE
058426,000163: 27,2764 00015 STORE RMAG1 # M E:(-29) M:(-27)
058427,000164:
058428,000165: 27,2765 77701 NORM
058429,000166: 27,2766 00047 X1 # -NR
058430,000167: 27,2767 24041 STOVL NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
058431,000168: 27,2770 02335 VONE # SAVED VN. M/CS E:(-7) M:(-5)
058432,000169: 27,2771 77761 VXSC
058433,000170: 27,2772 00037 TFF/RTMU # E:(17) M:(14)
058434,000171: 27,2773 02372 STORE VONE' # VN/SQRT(MU) E:(10) M:(9)
058435,000172:
058436,000173: 27,2774 47361 VXSC VXV
058437,000174: 27,2775 00041 NRMAG # E:(-29+NR) M:(-27+NR)
058438,000175: # UR/2 FROM PDL
058439,000176: 27,2776 47572 VSL1 VSQ # BEFORE: E:(-19+NR) M:(-18+NR)
058440,000177: 27,2777 14035 STODL TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
058441,000178: # SAVE ALSO FOR VGAMCALC
058442,000179: 27,3000 15325 TFF1/4
058443,000180: 27,3001 63271 DDV PDVL # (2/RMAG) 1/M E:(26-NR) M:(24-NR)
058444,000181: 27,3002 00041 NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
058445,000182: 27,3003 02372 VONE' # SAVED VN. E:(10) M:(9)
058446,000183: 27,3004 57436 VSQ DCOMP # KEEP MPAC+2 HONEST FOR SQRT.
058447,000184: 27,3005 00025 STORE TFFVSQ # -(V SQ/MU) E:(20) M:(18)
058448,000185: # SAVE FOR VGAMCALC
058449,000186: 27,3006 43257 SR* DAD
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Page 1377
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058451,000188: 27,3007 20573 0 -6,1 # GET -VSQ/MU E:(26-NR) M:(24-NR)
058452,000189: 27,3010 77626 STADR
058453,000190: # 2/RMAG FROM PDL+2
058454,000191: 27,3011 77744 STORE TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
058455,000192: 27,3012 41457 SL* PUSH # TEMP SAVE ALFA E:(20) M:(18)
058456,000193: 27,3013 20173 0 -6,1
058457,000194: 27,3014 75446 ABS SQRT # E:(10) M:(9)
058458,000195: 27,3015 77701 NORM
058459,000196: 27,3016 00050 X2 # X2 = -NA
058460,000197: 27,3017 00031 STORE TFFRTALF # SQRT( ABS(ALFA) ) E:(10+NA) M:(9+NA)
058461,000198: 27,3020 75316 DSQ SIGN # NOT SO ACCURATE, BUT OK
058462,000199: # ALFA FROM PDL+2 E:(20) M:(18)
058463,000200: 27,3021 55254 BZE BDDV # SET 1/ALFA =0, TO SHOW SMALL ALFA
058464,000201: 27,3022 57024 +2
058465,000202: 27,3023 15325 TFF1/4
058466,000203: 27,3024 00027 +2 STORE TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058467,000204: 27,3025 77616 DUMPCNIC RVQ
058468,000205: # 39 W
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Page 1378
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058470,000207: # SUBROUTINE NAME: TFFRP/RA DATE: 01.17.67
058471,000208: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
058472,000209: # MOD BY: RR BAIRNSFATHER
058473,000210: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
058474,000211: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
058475,000212: # ALSO IMPROVE ACCURACY OF RAPO.
058476,000213:
058477,000214: # FUNCTIONAL DESCRIPTION: USED BY CALCTPER AND TFF DISPLAYS TO CALCULATE PERIGEE RADIUS AND ALSO
058478,000215: # APOGEE RADIUS FOR A GENERAL CONIC.
058479,000216: # PROGRAM GIVES PERIGEE RADIUS AS APOGEE RADIUS IS GIVEN BY
058480,000217: # RP = P/(1+E) RA = (1+E) / ALFA
058481,000218: # WHERE 2
058482,000219: # E = 1 - P ALFA
058483,000220: # IF RA IS NEGATIVE OR SHOWS DIVIDE OVERFLOW, THEN RA = POSMAX BECAUSE
058484,000221: # 1. APOGEE RADIUS IS NOT MEANINGFUL FOR HYPERBOLA
058485,000222: # 2. APOGEE RADIUS IS NOT DEFINED FOR PARABOLA
058486,000223: # 3. APOGEE RADIUS EXCEEDS THE SCALING FOR ELLIPSE.
058487,000224:
058488,000225: # THIS SUBROUTINE REQUIRES THE SIGNED RECIPROCAL SEMI MAJ AXIS, ALFA, AND SEMI LATUS RECTUM AS DATA.
058489,000226:
058490,000227: # CALLING SEQUENCE: CALL
058491,000228: # TFFRP/RA
058492,000229: # PUSHLOC = PDL+0, ARBITRARY IF LEQ 10D
058493,000230: # C(MPAC) UNSPECIFIED
058494,000231:
058495,000232: # SUBROUTINES CALLED: NONE
058496,000233:
058497,000234: # NORMAL EXIT MODE: RVQ
058498,000235: # IF ELLIPSE, WITHIN NORMAL SCALING, RAPO IS CORRECT.
058499,000236: # OTHERWISE, RAPO = POSMAX.
058500,000237:
058501,000238: # ALARMS: NONE
058502,000239:
058503,000240: # OUTPUT: STORED IN PUSH LIST AREA. SCALE OF OUTPUT AGREES WITH DATA SUPPLIED TO TFF/CONIC.
058504,000241: # RPER E:(-29) M:(-27) M PERIGEE RADIUS DESTROYED BY CALCTFF/CALCTPER, TFFTRIG.
058505,000242: # RAPO E:(-29) M:(-27) M APOGEE RADIUS WILL BE DESTROYED BY CALCTFF/CALCTPER
058506,000243: # PUSHLOC AT PDL+0
058507,000244:
058508,000245: # ERASABLE INITIALIZATION REQUIRED:
058509,000246: # TFFALFA E:(26-NR) M 1/SEMI MAJ AXIS LEFT BY TFFCONIC
058510,000247: # M:(24-NR)
058511,000248: # TFFNP E:(-38+2NR) M LC P, SEMI LATUS RECTUM LEFT BY TFFCONIC
058512,000249: # M:(-36+2NR)
058513,000250: # X1 -NR, NORM COUNT OF RMAG LEFT BY TFFCONIC
058514,000251: # X2 -NA, NORM COUNT OF ALFA LEFT BY TFFCONIC
058515,000252:
058516,000253: # DEBRIS: QPRET, PDL+0 ... PDL+1
058517,000254:
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Page 1379
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058519,000256: 27,3026 RAPO = 16D # APOGEE RADIUS M E:(-29) M:(-27)
058520,000257: 27,3026 RPER = 14D # PERIGEE RADIUS M E:(-29) M:(-27)
058521,000258:
058522,000259: 27,3026 41345 TFFRP/RA DLOAD DMP
058523,000260: 27,3027 00033 TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
058524,000261: 27,3030 00035 TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
058525,000262: 27,3031 57457 SR* DCOMP # ALFA P (-12+NR)
058526,000263: 27,3032 20571 0 -8D,1 # ALFA P (-4)
058527,000264: 27,3033 51415 DAD ABS # (DCOMP GIVES VALID TP RESULT FOR SQRT)
058528,000265: # (ABS PROTECTS SQRT IF E IS VERY NEAR 0)
058529,000266: 27,3034 17366 DP2(-4)
058530,000267: 27,3035 43366 SQRT DAD # E SQ = (1- P ALFA) (-4)
058531,000268: 27,3036 15325 TFF1/4
058532,000269: 27,3037 55206 PUSH BDDV # (1+E) (-2) TO PDL+0
058533,000270: 27,3040 00035 TFFNP # LCP M E:(-38+2NR) M:(-36+2NR)
058534,000271: 27,3041 53657 SR* SR* # (DOES SR THEN SL TO AVOID OVFL)
058535,000272: 27,3042 20601 0,1 # X1=-NR
058536,000273: 27,3043 20572 0 -7,1 # (EFFECTIVE SL)
058537,000274: 27,3044 14017 STODL RPER # PERIGEE RADIUS M E:(-29) M:(-27)
058538,000275: # (1+E) (-2) FROM PDL+0
058539,000276: 27,3045 41005 DMP BOVB
058540,000277: 27,3046 00027 TFF1/ALF # E:(-22-2NA) M:(-20-2NA)
058541,000278: 27,3047 57352 TCDANZIG # CLEAR OVFIND, IF ON.
058542,000279: 27,3050 53654 BZE SL*
058543,000280: 27,3051 57060 MAXRA # SET POSMAX, IF ALFA=0
058544,000281: 27,3052 57603 0 -5,2 # -5+NA
058545,000282: 27,3053 40057 SL* BOV
058546,000283: 27,3054 57576 0,2
058547,000284: 27,3055 57060 MAXRA # SET POSMAX IF OVFL.
058548,000285: 27,3056 77644 BPL # CONTINUE WITH VALID RAPO.
058549,000286: 27,3057 57062 +3
058550,000287: 27,3060 77745 MAXRA DLOAD # RAPO CALC IS NOT VALID. SET RAPO =
058551,000288: 27,3061 17372 NEARONE # POSMAX AS A TAG.
058552,000289: 27,3062 00021 +3 STORE RAPO # APOGEE RADIUS M E:(-29) M:(-27)
058553,000290: 27,3063 77616 DUMPRPRA RVQ
058554,000291: # 30 W
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Page 1380
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058556,000293: # SUBROUTINE NAME: CALCTPER / CALCTFF DATE: 01.29.67
058557,000294: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
058558,000295: # MOD BY: RR BAIRNSFATHER
058559,000296: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 67
058560,000297: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 14 APR 67
058561,000298: # MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 8 JUL 67 NEAR EARTH MUE AND NEG TFF (GONEPAST)
058562,000299: # MOD NO: 4 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD VARIABLE MU.
058563,000300: # MOD NO: 5 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
058564,000301:
058565,000302: # FUNCTIONAL DESCRIPTION: PROGRAM CALCULATES THE FREE-FALL TIME OF FLIGHT FROM PRESENT POSITION RN AND
058566,000303: # VELOCITY VN TO A RADIUS LENGTH SPECIFIED BY RTERM, SUPPLIED BY THE USER. THE POSITION VECTOR
058567,000304: # RN MAY BE ON EITHER SIDE OF THE CONIC, BUT RTERM IS CONSIDERED ON THE INBOUND SIDE.
058568,000305: # THE EQUATIONS ARE
058569,000306:
058570,000307: # Q2 = -SQRT(RTERM (2-RTERM ALFA) - LCP) (INBOUND SIDE)) LEQ +- LCE/SQRT(ALFA)
058571,000308: # - -
058572,000309: # Q1 = RN.VN / SQRT(MU) LEQ +- LCE/SQRT(ALFA)
058573,000310:
058574,000311: # Z = NUM / DEN LEQ +- 1/SQRT(ALFA)
058575,000312:
058576,000313: # WHERE, IF INBOUND
058577,000314: # NUM = RTERM -RN LEQ +- 2 LCE/ALFA
058578,000315: # DEN = Q2+Q1 LEQ +- 2 LCE/SQRT(ALFA)
058579,000316:
058580,000317: # AND, IF OUTBOUND
058581,000318: # NUM = Q2-Q1 LEQ +- 2 LCE/SQRT(ALFA)
058582,000319: # DEN = 2 - ALFA (RTERM + RN). LEQ +- 2 LCE
058583,000320:
058584,000321: # IF ALFA ZZ < 1.0 (FOR ALL CONICS EXCEPT ELLIPSES HAVING ABS(DEL ECC ANOM) G 90 DEG)
058585,000322: # THEN X = ALFA Z Z
058586,000323: # AND TFF = (RTERM +RN -2 ZZ T(X) ) Z/SQRT(MU)
058587,000324: # EXCEPT IF ALFA PNZ, AND IF TFF NEG,
058588,000325: # THEN TFF = 2 PI /(ALFA SQRT(ALFA)) + TFF
058589,000326: # OR IF ALFA ZZ GEQ 1.0 (FOR ELLIPSES HAVING ABS(DEL ECC ANOM) GEQ 90 DEG)
058590,000327: # THEN X = 1/ALFA Z Z
058591,000328: # AND TFF = (PI/SQRT(ALFA) -Q2 +Q1 +2(X T(X) -1) /ALFA Z) /ALFA SQRT(MU)
058592,000329: # WHERE T(X) IS A POLYNOMIAL APPROXIMATION TO THE SERIES
058593,000330: # 2 3 2
058594,000331: # 1/3 - X/5 + X /7 - X /9 ... (X < 1.0)
058595,000332:
058596,000333: # CALLING SEQUENCE: TIME TO RTERM TIME TO PERIGEE
058597,000334: # CALL CALL
058598,000335: # CALCTFF CALCTPER
058599,000336: # C(MPAC) = TERMNL RAD M C(MPAC) = PERIGEE RAD M
058600,000337: # FOR EITHER, E:(-29) M:(-27)
058601,000338: # FOR EITHER, PUSHLOC = PDL+0, ARBITRARY IF LEQ 8D.
|
|
Page 1381
|
058603,000340:
058604,000341: # SUBROUTINES CALLED: T(X), VIA RTB
058605,000342:
058606,000343: # NORMAL EXIT MODE: RVQ
058607,000344: # HOWEVER, PROGRAM EXITS WITH ONE OF THE FOLLOWING VALUES FOR TFF (-28) CS IN MPAC. USER MUST STORE.
058608,000345: # A. TFF = FLIGHT TIME. NORMAL CASE FOR POSITIVE FLIGHT TIME LESS THAN ONE ORBITAL PERIOD.
058609,000346: # B. (THIS OPTION IS NO LONGER USED.)
058610,000347: # C. TFF = POSMAX. THIS INDICATES THAT THE CONIC FROM THE PRESENT POSITION WILL NOT RETURN TO
058611,000348: # THE SPECIFIED ALTITUDE. ALSO INDICATES OUTBOUND PARABOLA OR HYPERBOLA.
058612,000349:
058613,000350: # OUTPUT: C(MPAC) (-28) CS TIME OF FLIGHT, OR TIME TO PERIGEE
058614,000351: # TFFX (0) X, LEFT FOR ENTRY DISPLAY TFF ROUTINES
058615,000352: # NRTERM E:(-29+NR) M RTERM, WEIGHTED BY NR LEFT FOR ENTRY DISPLAY TFF ROUTINES
058616,000353: # M:(-27+NR)
058617,000354: # TFFTEM E:(-59+2NR) LCP Z Z SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
058618,000355: # M:(-55+2NR) LCP /ALFA SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
058619,000356: # NOTE: TFFTEM = PDL 36D AND WILL BE DESTROYED BY .:UNIT:.
058620,000357: # RMAG1 E:(-29) M:(-27) PDL 12 NOT TOUCHED.
058621,000358: # TFFQ1 E:(-16) M:(-15) PDL 14D
058622,000359: # TFFDELQ E:(-16) M:(-15) PDL 10D
058623,000360: # PUSHLOC AT PDL+0
058624,000361:
058625,000362: # ERASABLE INITIALIZATION REQUIRED:
058626,000363: # RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY USER
058627,000364: # VONE' E:(+10) M:(+9) VN/SQRT(MU) LEFT BY TFF/CONIC
058628,000365: # RMAG1 E:(-29) M:(-27) PRESENT RADIUS, M LEFT BY TFFCONIC
058629,000366: # C(MPAC) E:(-29) M:(-27) RTERM, TERMINAL RADIUS LENGTH, M LEFT BY USER
058630,000367:
058631,000368: # THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
058632,000369: # TFF/RTMU E:(17) M:(14) 1/SQRT(MU) LEFT BY TFFCONIC.
058633,000370: # NRMAG E:(-29+NR) M RMAG, NORMALIZED LEFT BY TFFCONIC
058634,000371: # M:(-27+NR)
058635,000372: # X1 -NR, NORM COUNT LEFT BY TFFCONIC
058636,000373: # TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHT NR LEFT BY TFFCONIC
058637,000374: # M:(-36+2NR)
058638,000375: # TFFALFA E:(26-NR) 1/M ALFA, WEIGHT NR LEFT BY TFFCONIC
058639,000376: # M:(24-NR)
058640,000377: # TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED LEFT BY TFFCONIC
058641,000378: # M:(9+NA)
058642,000379: # X2 -NA, NORM COUNT LEFT BY TFFCONIC
058643,000380: # TFF1/ALF E:(-22-2NA) SIGNED SEMIMAJ AXIS, WEIGHTED BY NA LEFT BY TFFCONIC
058644,000381: # M:(-20-2NA)
058645,000382:
058646,000383: # DEBRIS: QPRET, PDL+0 ... PDL+3
058647,000384: # RTERM E:(-29) M:(-27) RTERM, TERMINAL RADIUS LENGTH
058648,000385: # RAPO E:(-29) M:(-27) PDL 16D (=NRTERM)
058649,000386: # RPER E:(-29) M:(-27) PDL 14D (=TFFQ1)
058650,000387:
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|
Page 1382
|
058652,000389: 27,3064 77614 CALCTPER SETGO # ENTER WITH RPER IN MPAC
058653,000390: 27,3065 03436 TFFSW
058654,000391: 27,3066 57071 +3
058655,000392: 27,3067 77614 CALCTFF CLEAR # ENTER WITH RTERM IN MPAC
058656,000393: 27,3070 03676 TFFSW
058657,000394: 27,3071 00023 +3 STORE RTERM # E:(-29) M:(-27)
058658,000395: 27,3072 77657 SL*
058659,000396: 27,3073 20201 0,1 # X1=-NR
058660,000397: 27,3074 00021 STORE NRTERM # RTERM E:(-29+NR) M:(-27+NR)
058661,000398: 27,3075 44205 DMP BDSU
058662,000399: 27,3076 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
058663,000400: 27,3077 15325 TFF1/4
058664,000401: 27,3100 41206 PUSH DMP # (2-ALFA RTERM) (-3) TO PDL+0
058665,000402: 27,3101 00021 NRTERM # E:(-29+NR) M:(-27+NR)
058666,000403: 27,3102 53725 PDDL SR* # RTERM(2-ALFA RTERM) TO PDL+2
058667,000404: # E:(-32+NR) M:(-30+NR)
058668,000405: 27,3103 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
058669,000406: 27,3104 20573 0 -6,1 # X1 = -NR
058670,000407: 27,3105 43276 DCOMP DAD # DUE TO SHIFTS, KEEP PRECISION FOR SQRT
058671,000408: # RTERM(2-ALFA RTERM) FROM PDL +2
058672,000409: # E:(-32+NR) M:(-30+NR)
058673,000410: 27,3106 77657 SR* # LEAVE E:(-32) M:(-30)
058674,000411: 27,3107 20601 0,1 # X1 = -NR
058675,000412: 27,3110 71214 BOFF DLOAD # CHECK TFF /TPER SWITCH
058676,000413: 27,3111 03756 TFFSW
058677,000414: 27,3112 57114 +2 # IF TFF, CONTINUE
058678,000415: 27,3113 15335 TFFZEROS # IF TPER, SET Q2 = 0
058679,000416: 27,3114 75440 +2 BMN SQRT # E:(-16) M:(-15)
058680,000417: 27,3115 57247 MAXTFF1 # NO FREE FALL CONIC TO RTERM FROM HERE
058681,000418: # RESET PDL, SET TFF=POSMAX, AND EXIT.
058682,000419:
058683,000420: 27,3116 41076 DCOMP BOVB # RT IS ON INBOUND SIDE. ASSURE OVFIND=0
058684,000421: 27,3117 57352 TCDANZIG # ANY PORT IN A STORM.
058685,000422: 27,3120 24045 STOVL TFFTEM # Q2 E:(-16) M:(-15)
058686,000423: 27,3121 02372 VONE' # VN/SQRT(MU) E:(10) M:(9)
058687,000424: 27,3122 52441 DOT SL3
058688,000425: 27,3123 02327 RONE # SAVED RN. E:(-29) M:(-27)
058689,000426: 27,3124 00017 STORE TFFQ1 # Q1, SAVE FOR GONEPAST TEST.
058690,000427: # E:(-16) M:(-15)
058691,000428: 27,3125 44240 BMN BDSU
058692,000429: 27,3126 57147 INBOUND # USE ALTERNATE Z
058693,000430: 27,3127 00045 TFFTEM # Q2 E:(-16) M:(-15)
058694,000431:
058695,000432: # OUTBOUND Z CALC CONTINUES HERE
058696,000433:
058697,000434: 27,3130 14043 STODL TFFX # NUM=Q2-Q1 E:(-16) M:(-15)
058698,000435: 27,3131 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
058699,000436: 27,3132 44205 DMP BDSU
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|
Page 1383
|
058701,000438: 27,3133 00041 NRMAG # RMAG E:(-29+NR) M:(-27+NR)
058702,000439: # (2-RTERM ALFA) (-3) FROM PDL+0
058703,000440: 27,3134 51406 SAVEDEN PUSH ABS # DEN TO PDL+0 E:(-3) OR (-16)
058704,000441: # M:(-3) OR (-15)
058705,000442: 27,3135 40015 DAD BOV # INDETERMINANCY TEST
058706,000443: 27,3136 17360 LIM(-22) # =1.0-B(-22)
058707,000444: 27,3137 57160 TFFXTEST # GO IF DEN >/= B(-22)
058708,000445: 27,3140 65345 DLOAD PDDL # SET DEN=0 OTHERWISE
058709,000446: 27,3141 15335 TFFZEROS
058710,000447: # XCH ZERO WITH PDL+0
058711,000448: 27,3142 57545 DLOAD DCOMP
058712,000449: 27,3143 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
058713,000450: 27,3144 71240 BMN DLOAD # FOR TPER: Z INDET AT DELE/2=0 AND 90.
058714,000451: 27,3145 57254 TFFEL1 # ASSUME 90, AND LEAVE 0 IN PDL: 1/Z=D/N
058715,000452:
058716,000453: # Z INDET. AT PERIGEE FOR PARAB OR HYPERB.
058717,000454: 27,3146 77616 DUMPTFF1 RVQ # RETURN TFF =0
058718,000455:
058719,000456: # INBOUND Z CALC CONTINUES HERE
058720,000457:
058721,000458: 27,3147 77745 INBOUND DLOAD # RESET PDL+0
058722,000459: 27,3150 45345 DLOAD DSU # ALTERNATE Z CALC
058723,000460: 27,3151 00023 RTERM # E:(-29) M:(-27)
058724,000461: 27,3152 00015 RMAG1 # E:(-29) M:(-27)
058725,000462: 27,3153 14043 STODL TFFX # NUM=RTERM-RN E:(-29) M:(-27)
058726,000463: 27,3154 00045 TFFTEM # Q2 E:(-16) M:(-15)
058727,000464: 27,3155 52015 DAD GOTO
058728,000465: 27,3156 00017 TFFQ1 # Q1 E:(-16) M:(-15)
058729,000466: 27,3157 57134 SAVEDEN # DEN = Q2+Q1 E:(-16) M:(-15)
058730,000467:
058731,000468: 27,3160 65215 TFFXTEST DAD PDDL # (ABS(DEN) TO PDL+2)) E:(-3) OR (-16)
058732,000469: # M:(-3) OR (-15)
058733,000470: 27,3161 17362 DP(-22) # RESTORE ABS(DEN) TO MPAC
058734,000471: 27,3162 00043 TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
058735,000472: 27,3163 53605 DMP SR*
058736,000473: 27,3164 00031 TFFRTALF # SQRT(ALFA) E:(10+NA) M:(9+NA)
058737,000474: 27,3165 57201 0 -3,2 # X2=-NA
058738,000475: 27,3166 77671 DDV # C(MPAC) =NUM SQRT(ALFA) E:(-3) OR (-16)
058739,000476: # M:(-3) OR (-15)
058740,000477: # ABS(DEN) FROM PDL+2 E:(-3) OR (-16)
058741,000478: # M:(-3) OR (-15)
058742,000479: 27,3167 40145 DLOAD BOV # (THE DLOAD IS SHARED WITH TFFELL)
058743,000480: 27,3170 00043 TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
058744,000481: 27,3171 57252 TFFELL # USE EQN FOR DELE GEQ 90, LEQ -90
058745,000482:
058746,000483: # OTHERWISE, CONTINUE FOR GENERAL CONIC FOR TFF EQN
058747,000484:
058748,000485: 27,3172 45471 DDV STADR
058749,000486: # DEN FROM PDL+0 E:(-3) OR (-16)
058750,000487: # M:(-3) OR (-15)
058751,000488: 27,3173 77732 STORE TFFTEM # Z SAVE FOR SIGN OF SDELF.
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Page 1384
|
058753,000490: # E:(-13) M:(-12)
058754,000491: 27,3174 63406 PUSH DSQ # Z TO PDL+0
058755,000492: 27,3175 41206 PUSH DMP # Z SQ TO PDL+2 E:(-26) M:(-24)
058756,000493: 27,3176 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
058757,000494: 27,3177 75261 SL SIGN
058758,000495: 27,3200 20206 5
058759,000496: 27,3201 00045 TFFTEM # AFFIX SIGN FOR SDELF (ENTRY DISPLAY)
058760,000497: 27,3202 14045 STODL TFFTEM # P ZSQ E:(-59+2NR) M:(-55+2NR)
058761,000498: # (ARG IS USED IN TFF/TRIG)
058762,000499: # ZSQ FROM PDL+2 E:(-26) M:(-24)
058763,000500: 27,3203 41206 PUSH DMP # RESTORE PUSH LOC
058764,000501: 27,3204 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
058765,000502: 27,3205 77657 SL*
058766,000503: 27,3206 20201 0,1 # X1=-NR
058767,000504: 27,3207 00043 STORE TFFX # X
058768,000505: 27,3210 41234 RTB DMP
058769,000506: 27,3211 57334 T(X) # POLY
058770,000507: # ZSQ FROM PDL+2 E:(-26) M:(-24)
058771,000508: 27,3212 44302 SR2 BDSU # 2 ZSQ T(X) E:(-29) M:(-27)
058772,000509: 27,3213 00023 RTERM # RTERM E:(-29) M:(-27)
058773,000510: 27,3214 41215 DAD DMP
058774,000511: 27,3215 00015 RMAG1 # E:(-29) M:(-27)
058775,000512: # Z FROM PDL+0 E:(-13) M:(-12)
058776,000513: 27,3216 51042 SR3 BPL # TFF SQRT(MU) E:(-45) M:(-42)
058777,000514: 27,3217 57240 ENDTFF # (NO PUSH UP)
058778,000515: 27,3220 75206 PUSH SIGN # TFF SQRT(MU) TO PDL+0
058779,000516: 27,3221 00017 TFFQ1 # Q1 FOR GONEPAST TEST
058780,000517: 27,3222 71244 BPL DLOAD # GONE PAST ?
058781,000518: 27,3223 57244 NEGTFF # YES. TFF < 0.
058782,000519: 27,3224 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058783,000520: 27,3225 51076 DCOMP BPL # ALFA > 0 ?
058784,000521: 27,3226 57244 NEGTFF # NO. TFF IS NEGATIVE.
058785,000522:
058786,000523: # CORRECT FOR ORBITAL PERIOD.
058787,000524:
058788,000525: 27,3227 77676 DCOMP # YES. CORRECT FOR ORB PERIOD.
058789,000526: 27,3230 56205 DMP DDV
058790,000527: 27,3231 17356 PI/16 # 2 PI (-5)
058791,000528: 27,3232 00031 TFFRTALF # SQRT(ALFA) E:(10+NA) M:(9+NA)
058792,000529: 27,3233 53657 SL* SL*
058793,000530: 27,3234 57602 0 -4,2 # X2=-NA
058794,000531: 27,3235 57602 0 -4,2
058795,000532: 27,3236 43257 SL* DAD
058796,000533: 27,3237 57576 0,2
058797,000534: # TFF SQRT(MU) FROM PDL+0 E:(-45) M:(-42)
058798,000535: 27,3240 40005 ENDTFF DMP BOV # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
058799,000536: 27,3241 00037 TFF/RTMU # E:(17) M:(14)
058800,000537: 27,3242 57250 MAXTFF # SET POSMAX IF OVFL.
058801,000538:
058802,000539: 27,3243 77616 DUMPTFF2 RVQ # RETURN TFF (-28) CS IN MPAC.
058803,000540:
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|
Page 1385
|
058805,000542: 27,3244 77745 NEGTFF DLOAD
058806,000543: # TFF SQRT(MU) FROM PDL+0, NEGATIVE.
058807,000544: 27,3245 77650 GOTO
058808,000545: 27,3246 57240 ENDTFF
058809,000546:
058810,000547: 27,3247 77745 MAXTFF1 DLOAD # RESET PDL
058811,000548: 27,3250 43545 MAXTFF DLOAD RVQ
058812,000549: 27,3251 17372 NEARONE
058813,000550:
058814,000551: # TIME OF FLIGHT ELLIPSE WHEN DEL (ECCENTRIC ANOM) GEQ 90 AND LEQ -90.
058815,000552:
058816,000553: # NUM FROM TFFX. E:(-16) OR (-29)
058817,000554: # M:(-15) OR (-27)
058818,000555: 27,3252 77712 TFFELL SL2 # NUM E:(-14) OR (-27) M:(-13) OR (-25)
058819,000556: 27,3253 41465 BDDV PUSH # TEMP SAVE D/N IN PDL+0
058820,000557: # DEN FROM PDL+0 E:(-3)/( 16) M:(-3)/(-15)
058821,000558: # N/D TO PDL+0 E:(11) M:(10)
058822,000559: 27,3254 45345 TFFEL1 DLOAD DSU # (ENTER WITH D/N=0 IN PDL+0)
058823,000560: 27,3255 00045 TFFTEM # Q2 E:(-16) M:(-15)
058824,000561: 27,3256 00017 TFFQ1 # Q1 E:(-16) M:(-15)
058825,000562: 27,3257 14013 STODL TFFDELQ # Q2-Q1 E:(-16) M:(-15)
058826,000563: # D/N FROM PDL+0
058827,000564: 27,3260 77626 STADR
058828,000565: 27,3261 77732 STORE TFFTEM # D/N E:(11) M:(10)
058829,000566: 27,3262 53605 DMP SL*
058830,000567: 27,3263 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058831,000568: 27,3264 57576 0,2 # 1/ALFA Z E:(-11-NA) M:(-10-NA)
058832,000569: 27,3265 41206 PUSH DMP # TO PDL+0
058833,000570: 27,3266 00045 TFFTEM # 1/Z E:(11) M:(10)
058834,000571: 27,3267 41057 SL* BOVB
058835,000572: 27,3270 57576 0,2 # X2= -NA
058836,000573: 27,3271 45712 SIGNMPAC # IN CASE X= 1.0, CONTINUE
058837,000574: 27,3272 00043 STORE TFFX # X=1/ALFA ZSQ
058838,000575: 27,3273 41234 RTB DMP
058839,000576: 27,3274 57334 T(X) # POLY
058840,000577: 27,3275 00043 TFFX
058841,000578: 27,3276 45242 SR3 DSU
058842,000579: 27,3277 17364 DP2(-3)
058843,000580: 27,3300 41405 DMP PUSH # 2(X T(X)-1) /Z ALFA E:(-15-NA)
058844,000581: # M:(-14-NA)
058845,000582: # 1/ALFA Z FROM PDL+0 E:(-11-NA)
058846,000583: # M:(-10-NA)
058847,000584: 27,3301 41345 DLOAD DMP # GET SIGN FOR SDELF
058848,000585: 27,3302 00045 TFFTEM # 1/Z E:(11) M:(10)
058849,000586: 27,3303 00015 RMAG1 # E:(-29) M:(-27)
058850,000587: 27,3304 43312 SL2 DAD
058851,000588: 27,3305 00017 TFFQ1 # Q1 E:(-16) M:(-15)
058852,000589: 27,3306 14045 STODL TFFTEM # (Q1+R 1/Z) =SGN OF SDELF E:(-16) M:(-15
058853,000590: 27,3307 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
058854,000591: 27,3310 53605 DMP SL* # CALC FOR ARG FOR TFF/TRIG.
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|
Page 1386
|
058856,000593: 27,3311 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058857,000594: 27,3312 57575 1,2 # X2=-NA
058858,000595: 27,3313 53765 SIGN SL*
058859,000596: 27,3314 00045 TFFTEM # AFFIX SIGN FOR SDELF
058860,000597: 27,3315 57576 0,2
058861,000598: 27,3316 14045 STODL TFFTEM # P/ALFA E:(-59+2NR) M:(-55+2NR)
058862,000599: # (ARG FOR USE IN TFF/TRIG)
058863,000600: 27,3317 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058864,000601: 27,3320 41366 SQRT DMP
058865,000602: 27,3321 17356 PI/16 # PI (-4)
058866,000603: 27,3322 77615 DAD
058867,000604: # 2(XT(X)-1)/Z ALFA FROM PDL E:(-15-NA)
058868,000605: # M:(-14-NA)
058869,000606: 27,3323 45257 SL* DSU
058870,000607: 27,3324 57577 0 -1,2
058871,000608: 27,3325 00013 TFFDELQ # Q2-Q1 E:(-16) M:(-15)
058872,000609: 27,3326 53605 DMP SL*
058873,000610: 27,3327 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058874,000611: 27,3330 57601 0 -3,2
058875,000612: 27,3331 52057 SL* GOTO
058876,000613: 27,3332 57602 0 -4,2
058877,000614: 27,3333 57240 ENDTFF # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
058878,000615:
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|
Page 1387
|
058880,000617: # PROGRAM NAME: T(X) DATE: 01.17.67
058881,000618: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
058882,000619: # MOD BY: RR BAIRNSFATHER
058883,000620:
058884,000621: # FUNCTIONAL DESCRIPTION: THE POLYNOMIAL T(X) IS USED BY TIME OF FLIGHT SUBROUTINES CALCTFF AND
058885,000622: # CALCTPER TO APPROXIMATE THE SERIES
058886,000623: # 2 3
058887,000624: # 1/3 -X/5 +X /7 -X /9 ...
058888,000625:
058889,000626: # WHERE X = ALFA Z Z IF ALFA Z Z LEQ 1
058890,000627: # X = 1/(ALFA Z Z) IF ALFA Z Z G 1
058891,000628:
058892,000629: # ALSO X IS NEG FOR HYPERBOLIC ORBITS
058893,000630: # X = 0 FOR PARABOLIC ORBITS
058894,000631: # X IS POSITIVE FOR ELLIPTIC ORBITS
058895,000632:
058896,000633: # FOR FLIGHT 278, THE POLYNOMIAL T(X) IS FITTED OVER THE RANGE (0,+1) AND HAS A MAXIMUM
058897,000634: # DEVIATION FROM THE SERIES OF 2 E-5 (T(X) IS A CHEBYCHEV TYPE FIT AND WAS OBTAINED USING
058898,000635: # MAC PROGRAM AUTCURFIT294RRB AND IS VALID TO THE SAME TOLERANCE OVER THE RANGE (-.08,+1).)
058899,000636:
058900,000637: # CALLING SEQUENCE: RTB
058901,000638: # T(X)
058902,000639: # C(MPAC) = X
058903,000640:
058904,000641: # SUBROUTINES CALLED: NONE
058905,000642:
058906,000643: # NORMAL EXIT MODE: TC DANZIG
058907,000644:
058908,000645: # ALARMS: NONE
058909,000646:
058910,000647: # OUTPUT: C(MPAC) = T(X)
058911,000648:
058912,000649: # ERASABLE INITIALIZATION REQUIRED:
058913,000650: # C(MPAC) = X
058914,000651:
058915,000652: # DEBRIS: NONE
058916,000653:
058917,000654: 27,3334 07171 T(X) TC POLY
058918,000655: 27,3335 00004 DEC 4 B-14 # N-1
058919,000656: 27,3336 12525 12525 2DEC 3.333333333 E-1
058920,000657: 27,3340 71463 57703 2DEC* -1.999819135 E-1*
058921,000658: 27,3342 04423 17645 2DEC* 1.418148467 E-1*
058922,000659: 27,3344 74604 43667 2DEC* -1.01310997 E-1*
058923,000660: 27,3346 01626 37256 2DEC* 5.609004986 E-2*
058924,000661: 27,3350 77404 52071 2DEC* -1.536156925 E-2*
058925,000662:
058926,000663: 27,3352 06030 ENDT(X) TC DANZIG
058927,000664:
058928,000665: 27,3353 27,3352 TCDANZIG = ENDT(X)
058929,000666:
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Page 1388
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058931,000668: # TFF CONSTANTS
058932,000669:
058933,000670: 32,3770 BANK 32
058934,000671:
058935,000672: 27,2000 SETLOC TOF-FF1
058936,000673: 27,2000 BANK
058937,000674:
058938,000675: # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
058939,000676: # MUE = 3.990815471 E10 M CUBE/CS SQ
058940,000677: # RTMUE = 1.997702549 E5 B-18* MODIFIED EARTH MU
058941,000678:
058942,000679: 27,3353 24775 30424 1/RTMU 2DEC* .5005750271 E-5 B17* # MODIFIED EARTH MU
058943,000680:
058944,000681: # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
058945,000682: # MUM = 4.902778 E8 M CUBE/CS SQ
058946,000683: # RTMUM 2DEC* 2.21422176 E4 B-18*
058947,000684: 27,3355 06220 37553 PI/16 2DEC 3.141592653 B-4
058948,000685: 27,3357 37777 37700 LIM(-22) 2OCT 3777737700 # 1.0 -B(-22)
058949,000686: 27,3361 00000 00100 DP(-22) 2OCT 0000000100 # B(-22)
058950,000687: 27,3363 04000 00000 DP2(-3) 2DEC 1 B-3
058951,000688: 27,3365 02000 00000 DP2(-4) 2DEC 1 B-4 # 1/16
058952,000689:
058953,000690: # RPAD1 2DEC 6373338 B-29 M (-29) = 20909901.57 FT
058954,000691: 27,3367 22,3151 RPAD1 = RPAD
058955,000692:
058956,000693: 27,3367 00305 11205 R300K 2DEC 6464778 B-29 # (-29) M
058957,000694: 27,3371 37777 37777 NEARONE 2DEC .999999999
058958,000695: 27,3373 26,3334 TFFZEROS EQUALS HI6ZEROS
058959,000696: 27,3373 26,3324 TFF1/4 EQUALS HIDP1/4
End of include-file TIME_OF_FREE_FALL.agc. Parent file is MAIN.agc