Source Code
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These source-code files are part of a reconstructed copy of Comanche 45/2 (AKA Manche45 revision 2),
the final, flown mission release of the Apollo 10 Command Module (CM) Apollo Guidance
Computer (AGC) software. Comanche 45/2 was preceded by Comanche 44 and Comanche 45. The
reconstruction is believed to be exactly accurate, but in the absence of an actual Apollo-era
listing of Comanche 45/2, some explanation of the reconstruction process is needed
to insure confidence in that accuracy.
The starting point was the source code of Comanche 45 (itself previously accurately
reconstructed). Comanche 45 source code was then modified by incorporating changes
known from contemporary documentation to have been made between revisions 45 and 45/2.
The now-reconstructed Comanche 45/2 source code was
verified by assembling it and checking that the assembled code had
the expected known-correct memory-bank checksums.
Note that page numbers in the reconstructed code tend to match those in the Comanche 55, the
most-similar revision of Comanche for which we have access to an actual non-reconstructed hardcopy;
the source code would likely have different page numbers in a contemporary
Comanche 45 listing.
Annotations that were not present in the contemporary source code have been added to the reconstructed
code to justify each change relative to Comanche 44. Here's a guide to the Apollo documentation referenced
in those annotations:
Comments expected to have been present in 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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058257,000002: ## Copyright: Public domain.
058258,000003: ## Filename: TIME_OF_FREE_FALL.agc
058259,000004: ## Purpose: A section of Manche45 revision 2.
058260,000005: ## It is part of the reconstructed source code for the
058261,000006: ## final, flown release of the flight software for the Command
058262,000007: ## Module's (CM) Apollo Guidance Computer (AGC) for Apollo 10.
058263,000008: ## The code has been recreated from a copy of Comanche 055. It
058264,000009: ## has been adapted such that the resulting bugger words
058265,000010: ## exactly match those specified for Manche 45/2 in NASA drawing
058266,000011: ## 2021153D, which gives relatively high confidence that the
058267,000012: ## reconstruction is correct.
058268,000013: ## Assembler: yaYUL
058269,000014: ## Contact: Ron Burkey <info@sandroid.org>.
058270,000015: ## Website: www.ibiblio.org/apollo/index.html
058271,000016: ## Mod history: 2020-12-24 MAS Created from Comanche 45.
058272,000017:
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Page 1373
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058274,000019: # THE TFF SUBROUTINES MAY BE USED IN EITHER EARTH OR MOON CENTERED COORDINATES. THE TFF ROUTINES NEVER
058275,000020: # KNOW WHICH ORIGIN APPLIES. IT IS THE USER WHO KNOWS, AND WHO SUPPLIES RONE, VONE AND 1/SQRT(MU) AT THE
058276,000021: # APPROPRIATE SCALE LEVEL FOR THE PROPER PRIMARY BODY.
058277,000022:
058278,000023: # EARTH ORIGIN POSITION -29 METERS
058279,000024: # VELOCITY -7 METERS/CENTISECOND
058280,000025: # 1/SQRT(MU) +17 SQRT(CS SQ/METERS CUBED)
058281,000026:
058282,000027: # MOON ORIGIN POSITION -27 METERS
058283,000028: # VELOCITY -5 METERS/CENTISECONDS
058284,000029: # 1/SQRT(MU) +14 SQRT(CS SQ/METERS CUBED)
058285,000030:
058286,000031: # ALL DATA PROVIDED TO AND RECEIVED FROM ANY TFF SUBROUTINE WILL BE AT ONE OF THE LEVELS ABOVE. IN ALL CASES,
058287,000032: # THE FREE FALL TIME IS RETURNED IN CENTISECONDS AT (-28). PROGRAM TFF/CONIC WILL GENERATE VONE/RTMU AND
058288,000033: # LEAVE IT IN VONE' AT (+10) IF EARTH ORIGIN AND (+9) IF MOON ORIGIN.
058289,000034:
058290,000035: # THE USER MUST STORE THE STATE VECTOR IN RONE, VONE AND MU IN THE FORM 1/SQRT(MU) IN TFF/RTMU
058291,000036: # AT THE PROPER SCALE BEFORE CALLING TFF/CONIC. SINCE RONE, VONE ARE IN THE EXTENDED VERB STORAGE AREA,
058292,000037: # THE USER MUST ALSO LOCK OUT THE EXTENDED VERBS, AND RELEASE THEM WHEN FINISHED.
058293,000038:
058294,000039: # PROGRAMS CALC/TFF AND CALC/TPER ASSUME THAT THE TERMINAL RADIUS IS LESS THAN THE PRESENT
058295,000040: # RADIUS. THIS RESTRICTION CAN BE REMOVED BY A 15 W CODING CHANGE, BUT AT PRESENT IT IS NOT DEEMED NECESSARY.
058296,000041:
058297,000042: # THE FOLLOWING ERASABLE QUANTITIES ARE USED BY THE TFF ROUTINES, AND ARE LOCATED IN THE PUSH LIST.
058298,000043:
058299,000044: # BELOW E: IS USED FOR EARTH ORIGIN SCALE
058300,000045: # M: IS USED FOR MOON ORIGIN SCALE
058301,000046:
058302,000047: # TFFSW = 119D BIT1 0 = CALCTFF 1 = CALCTPER
058303,000048: 23,3772 TFFDELQ = 10D # Q2-Q1 E: (-16) M: (-15)
058304,000049: 23,3772 RMAG1 = 12D # ABVAL(RN) M E: (-29) M: (-27)
058305,000050: # RPER = 14D PERIGEE RADIUS M E: (-29) M: (-27)
058306,000051: 23,3772 TFFQ1 = 14D # R.V / SQRT(MUE) E: (-16) M: (-15)
058307,000052: # SDELF/2 SIN(THETA) /2
058308,000053: 23,3772 CDELF/2 = 14D # COS(THETA) /2
058309,000054: # RAPO = 16D APOGEE RADIUS M E: (-29) M: (-27)
058310,000055: 23,3772 NRTERM = 16D # TERMINAL RADIUS M E: (-29+NR)
058311,000056: # M: (-27+NR)
058312,000057: 23,3772 RTERM = 18D # TERMINAL RADIUS M E: (-29) M: (-27)
058313,000058: 23,3772 TFFVSQ = 20D # -(V SQUARED/MU) 1/M E: (20) M: (18)
058314,000059: 23,3772 TFF1/ALF = 22D # SEMI MAJ AXIS M E: (-22-2 NA)
058315,000060: # M: (-20-2 NA)
058316,000061: 23,3772 TFFRTALF = 24D # SQRT(ALFA) E:(10+NA) M: (9+NA)
058317,000062: 23,3772 TFFALFA = 26D # ALFA 1/M E:(26-NR) M: (24-NR)
058318,000063: 23,3772 TFFNP = 28D # SEMI LATUS RECTUM M E: (-38+2 NR)
058319,000064: # M: (-36+2 NR)
058320,000065: 23,3772 TFF/RTMU = 30D # 1/SQRT(MU) E: (17) M: (14)
058321,000066: 23,3772 NRMAG = 32D # PRESENT RADIUS M E: (-29+NR)
058322,000067: # M: (-27+NR)
058323,000068: 23,3772 TFFX = 34D
058324,000069: 23,3772 TFFTEM = 36D # TEMPORARY
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Page 1374
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058326,000071: # REGISTERS S1, S2 ARE UNTOUCHED BY ANY TFF SUBROUTINE
058327,000072: # INDEX REGISTERS X1, X2 ARE USED BY ALL TFF SUBROUTINES. THEY ARE ESTAB-
058328,000073: # LISHED IN TFF/CONIC AND MUST BE PRESERVED BETWEEN CALLS TO SUBSEQUENT
058329,000074: # SUBROUTINES.
058330,000075: # -NR C(X1) = NORM COUNT OF RMAG
058331,000076: # -NA C(X2) = NORM COUNT OF SQRT(ABS(ALFA))
058332,000077:
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Page 1375
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058334,000079: # SUBROUTINE NAME: TFFCONIC DATE: 01.29.67
058335,000080: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
058336,000081: # MOD BY: RR BAIRNSFATHER
058337,000082: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
058338,000083: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD MOON MU.
058339,000084: # MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
058340,000085:
058341,000086: # FUNCTIONAL DESCRIPTION: THIS SUBROUTINE IS CALLED TO COMPUTE THOSE CONIC PARAMETERS REQUIRED BY THE TFF
058342,000087: # SUBROUTINES AND TO ESTABLISH THEM IN THE PUSH LIST AREA. THE PARAMETERS ARE LISTED UNDER OUTPUT.
058343,000088: # THE EQUATIONS ARE
058344,000089: # - - -
058345,000090: # H = RN*VN ANGULAR MOMENTUM
058346,000091: # - -
058347,000092: # LCP = H.H / MU SEMI LATUS RECTUM
058348,000093: # - -
058349,000094: # ALFA = 2/RN - VN.VN / MU RECIPROCAL SEMI MAJ AXIS, SIGNED
058350,000095:
058351,000096: # AND ALFA IS POS FOR ELLIPTIC ORBITS
058352,000097: # 0 FOR PARABOLIC ORBITS
058353,000098: # NEG FOR HYPERBOLIC ORBITS.
058354,000099: # SUBROUTINE ALSO COMPUTES AND SAVES RMAG.
058355,000100:
058356,000101: # CALLING SEQUENCE:
058357,000102: # TFFCONIC EXPECTS CALLER TO ENTER WITH CORRECT GRAVITATIONAL CONSTANT IN MPAC, IN THE FORM
058358,000103: # 1/SQRT(MU). PROGRAM WILL SAVE IN TFF/RTMU. THE SCALE IS DETERMINED BY WHETHER EARTH OR MOON
058359,000104: # ORIGIN IS USED. THE CALLER MUST LOCK OUT THE EXTENDED VERBS BEFORE PROVIDING STATE VECTOR IN RONE,
058360,000105: # VONE AT PROPER SCALE. THE EXTENDED VERBS MUST BE RESTORED WHEN THE CALLER IS FINISHED USING THE
058361,000106: # TFF ROUTINES.
058362,000107:
058363,000108: # ENTRY POINT TFFCONMU EXPECTS THAT TFF/RTMU IS ALREADY LOADED.
058364,000109:
058365,000110: # TO SPECIFY MU: DLOAD CALL IF MU ALREADY STORED: CALL
058366,000111: # YOURMU 1/RTMU E:(17) M:(14) TFFCONMU
058367,000112: # TFFCONIC
058368,000113: # PUSHLOC = PDL+0, ARBITRARY IF LEQ 18D
058369,000114:
058370,000115: # SUBROUTINES CALLED: NONE
058371,000116:
058372,000117: # NORMAL EXIT MODES: RVQ
058373,000118:
058374,000119: # ALARMS: NONE
058375,000120:
058376,000121: # OUTPUT: THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
058377,000122: # RMAG1 E:(-29) M:(-27) M RN, PRESENT RADIUS LENGTH.
058378,000123: # NRMAG E:(-29+NR) M RMAG, NORMALIZED
058379,000124: # M:(-27+NR)
058380,000125: # X1 -NR, NORM COUNT
058381,000126: # TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHTED BY NR. FOR VGAMCALC
058382,000127: # M:(-36+2NR)
058383,000128: # TFF/RTMU E:(17) M:(14) 1/SQRT(MU)
058384,000129: # TFFVSQ E:(20) M:(18) 1/M -(V SQ/MU): PRESENT VELOCITY, NORMLIZED. FOR VGAMCALC
058385,000130: # TFFALFA E:(26-NR) 1/M ALFA, WEIGHTED BY NR
058386,000131: # M:(24-NR)
058387,000132: # TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED
058388,000133: # M:(9+NA)
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Page 1376
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058390,000135: # X2 -NA, NORM COUNT
058391,000136: # TFF1/ALF E:(-22-2NA) SIGNED SEMI MAJ AXIS, WEIGHTED BY NA
058392,000137: # M:(-20-2NA)
058393,000138: # PUSHLOC AT PDL+0
058394,000139:
058395,000140: # THE FOLLOWING IS STORED IN GENERAL ERASABLE
058396,000141: # VONE' E:(10) M:(9) V/RT(MU), NORMALIZED VELOCITY
058397,000142:
058398,000143: # ERASABLE INITIALIZATION REQUIRED:
058399,000144: # RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY CALLER
058400,000145: # VONE E:(-7) M:(-5) M/CS STATE VECTOR LEFT BY CALLER
058401,000146: # TFF/RTMU E:(17) M:(14) 1/RT(CS SQ/M CUBE) IF ENTER VIA TFFCONMU.
058402,000147:
058403,000148: # DEBRIS: QPRET, PDL+0 ... PDL+3
058404,000149:
058405,000150: 33,3776 BANK 33
058406,000151: 27,2000 SETLOC TOF-FF
058407,000152: 27,2000 BANK
058408,000153:
058409,000154: 27,2757 COUNT* $$/TFF
058410,000155:
058411,000156: 27,2757 00037 TFFCONIC STORE TFF/RTMU # 1/SQRT(MU) E:(17) M:(14)
058412,000157:
058413,000158: 27,2760 53575 TFFCONMU VLOAD UNIT # COME HERE WITH TFFRTMU LOADED.
058414,000159: 27,2761 02327 RONE # SAVED RN. M E:(-29) M:(-27)
058415,000160: 27,2762 77725 PDDL # UR/2 TO PDL+0, +5
058416,000161: 27,2763 00045 36D # MAGNITUDE
058417,000162: 27,2764 00015 STORE RMAG1 # M E:(-29) M:(-27)
058418,000163:
058419,000164: 27,2765 77701 NORM
058420,000165: 27,2766 00047 X1 # -NR
058421,000166: 27,2767 24041 STOVL NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
058422,000167: 27,2770 02335 VONE # SAVED VN. M/CS E:(-7) M:(-5)
058423,000168: 27,2771 77761 VXSC
058424,000169: 27,2772 00037 TFF/RTMU # E:(17) M:(14)
058425,000170: 27,2773 02372 STORE VONE' # VN/SQRT(MU) E:(10) M:(9)
058426,000171:
058427,000172: 27,2774 47361 VXSC VXV
058428,000173: 27,2775 00041 NRMAG # E:(-29+NR) M:(-27+NR)
058429,000174: # UR/2 FROM PDL
058430,000175: 27,2776 47572 VSL1 VSQ # BEFORE: E:(-19+NR) M:(-18+NR)
058431,000176: 27,2777 14035 STODL TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
058432,000177: # SAVE ALSO FOR VGAMCALC
058433,000178: 27,3000 15325 TFF1/4
058434,000179: 27,3001 63271 DDV PDVL # (2/RMAG) 1/M E:(26-NR) M:(24-NR)
058435,000180: 27,3002 00041 NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
058436,000181: 27,3003 02372 VONE' # SAVED VN. E:(10) M:(9)
058437,000182: 27,3004 57436 VSQ DCOMP # KEEP MPAC+2 HONEST FOR SQRT.
058438,000183: 27,3005 00025 STORE TFFVSQ # -(V SQ/MU) E:(20) M:(18)
058439,000184: # SAVE FOR VGAMCALC
058440,000185: 27,3006 43257 SR* DAD
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Page 1377
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058442,000187: 27,3007 20573 0 -6,1 # GET -VSQ/MU E:(26-NR) M:(24-NR)
058443,000188: 27,3010 77626 STADR
058444,000189: # 2/RMAG FROM PDL+2
058445,000190: 27,3011 77744 STORE TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
058446,000191: 27,3012 41457 SL* PUSH # TEMP SAVE ALFA E:(20) M:(18)
058447,000192: 27,3013 20173 0 -6,1
058448,000193: 27,3014 75446 ABS SQRT # E:(10) M:(9)
058449,000194: 27,3015 77701 NORM
058450,000195: 27,3016 00050 X2 # X2 = -NA
058451,000196: 27,3017 00031 STORE TFFRTALF # SQRT( ABS(ALFA) ) E:(10+NA) M:(9+NA)
058452,000197: 27,3020 75316 DSQ SIGN # NOT SO ACCURATE, BUT OK
058453,000198: # ALFA FROM PDL+2 E:(20) M:(18)
058454,000199: 27,3021 55254 BZE BDDV # SET 1/ALFA =0, TO SHOW SMALL ALFA
058455,000200: 27,3022 57024 +2
058456,000201: 27,3023 15325 TFF1/4
058457,000202: 27,3024 00027 +2 STORE TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058458,000203: 27,3025 77616 DUMPCNIC RVQ
058459,000204: # 39 W
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Page 1378
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058461,000206: # SUBROUTINE NAME: TFFRP/RA DATE: 01.17.67
058462,000207: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
058463,000208: # MOD BY: RR BAIRNSFATHER
058464,000209: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
058465,000210: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
058466,000211: # ALSO IMPROVE ACCURACY OF RAPO.
058467,000212:
058468,000213: # FUNCTIONAL DESCRIPTION: USED BY CALCTPER AND TFF DISPLAYS TO CALCULATE PERIGEE RADIUS AND ALSO
058469,000214: # APOGEE RADIUS FOR A GENERAL CONIC.
058470,000215: # PROGRAM GIVES PERIGEE RADIUS AS APOGEE RADIUS IS GIVEN BY
058471,000216: # RP = P/(1+E) RA = (1+E) / ALFA
058472,000217: # WHERE 2
058473,000218: # E = 1 - P ALFA
058474,000219: # IF RA IS NEGATIVE OR SHOWS DIVIDE OVERFLOW, THEN RA = POSMAX BECAUSE
058475,000220: # 1. APOGEE RADIUS IS NOT MEANINGFUL FOR HYPERBOLA
058476,000221: # 2. APOGEE RADIUS IS NOT DEFINED FOR PARABOLA
058477,000222: # 3. APOGEE RADIUS EXCEEDS THE SCALING FOR ELLIPSE.
058478,000223:
058479,000224: # THIS SUBROUTINE REQUIRES THE SIGNED RECIPROCAL SEMI MAJ AXIS, ALFA, AND SEMI LATUS RECTUM AS DATA.
058480,000225:
058481,000226: # CALLING SEQUENCE: CALL
058482,000227: # TFFRP/RA
058483,000228: # PUSHLOC = PDL+0, ARBITRARY IF LEQ 10D
058484,000229: # C(MPAC) UNSPECIFIED
058485,000230:
058486,000231: # SUBROUTINES CALLED: NONE
058487,000232:
058488,000233: # NORMAL EXIT MODE: RVQ
058489,000234: # IF ELLIPSE, WITHIN NORMAL SCALING, RAPO IS CORRECT.
058490,000235: # OTHERWISE, RAPO = POSMAX.
058491,000236:
058492,000237: # ALARMS: NONE
058493,000238:
058494,000239: # OUTPUT: STORED IN PUSH LIST AREA. SCALE OF OUTPUT AGREES WITH DATA SUPPLIED TO TFF/CONIC.
058495,000240: # RPER E:(-29) M:(-27) M PERIGEE RADIUS DESTROYED BY CALCTFF/CALCTPER, TFFTRIG.
058496,000241: # RAPO E:(-29) M:(-27) M APOGEE RADIUS WILL BE DESTROYED BY CALCTFF/CALCTPER
058497,000242: # PUSHLOC AT PDL+0
058498,000243:
058499,000244: # ERASABLE INITIALIZATION REQUIRED:
058500,000245: # TFFALFA E:(26-NR) M 1/SEMI MAJ AXIS LEFT BY TFFCONIC
058501,000246: # M:(24-NR)
058502,000247: # TFFNP E:(-38+2NR) M LC P, SEMI LATUS RECTUM LEFT BY TFFCONIC
058503,000248: # M:(-36+2NR)
058504,000249: # X1 -NR, NORM COUNT OF RMAG LEFT BY TFFCONIC
058505,000250: # X2 -NA, NORM COUNT OF ALFA LEFT BY TFFCONIC
058506,000251:
058507,000252: # DEBRIS: QPRET, PDL+0 ... PDL+1
058508,000253:
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Page 1379
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058510,000255: 27,3026 RAPO = 16D # APOGEE RADIUS M E:(-29) M:(-27)
058511,000256: 27,3026 RPER = 14D # PERIGEE RADIUS M E:(-29) M:(-27)
058512,000257:
058513,000258: 27,3026 41345 TFFRP/RA DLOAD DMP
058514,000259: 27,3027 00033 TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
058515,000260: 27,3030 00035 TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
058516,000261: 27,3031 57457 SR* DCOMP # ALFA P (-12+NR)
058517,000262: 27,3032 20571 0 -8D,1 # ALFA P (-4)
058518,000263: 27,3033 51415 DAD ABS # (DCOMP GIVES VALID TP RESULT FOR SQRT)
058519,000264: # (ABS PROTECTS SQRT IF E IS VERY NEAR 0)
058520,000265: 27,3034 17366 DP2(-4)
058521,000266: 27,3035 43366 SQRT DAD # E SQ = (1- P ALFA) (-4)
058522,000267: 27,3036 15325 TFF1/4
058523,000268: 27,3037 55206 PUSH BDDV # (1+E) (-2) TO PDL+0
058524,000269: 27,3040 00035 TFFNP # LCP M E:(-38+2NR) M:(-36+2NR)
058525,000270: 27,3041 53657 SR* SR* # (DOES SR THEN SL TO AVOID OVFL)
058526,000271: 27,3042 20601 0,1 # X1=-NR
058527,000272: 27,3043 20572 0 -7,1 # (EFFECTIVE SL)
058528,000273: 27,3044 14017 STODL RPER # PERIGEE RADIUS M E:(-29) M:(-27)
058529,000274: # (1+E) (-2) FROM PDL+0
058530,000275: 27,3045 41005 DMP BOVB
058531,000276: 27,3046 00027 TFF1/ALF # E:(-22-2NA) M:(-20-2NA)
058532,000277: 27,3047 57352 TCDANZIG # CLEAR OVFIND, IF ON.
058533,000278: 27,3050 53654 BZE SL*
058534,000279: 27,3051 57060 MAXRA # SET POSMAX, IF ALFA=0
058535,000280: 27,3052 57603 0 -5,2 # -5+NA
058536,000281: 27,3053 40057 SL* BOV
058537,000282: 27,3054 57576 0,2
058538,000283: 27,3055 57060 MAXRA # SET POSMAX IF OVFL.
058539,000284: 27,3056 77644 BPL # CONTINUE WITH VALID RAPO.
058540,000285: 27,3057 57062 +3
058541,000286: 27,3060 77745 MAXRA DLOAD # RAPO CALC IS NOT VALID. SET RAPO =
058542,000287: 27,3061 17372 NEARONE # POSMAX AS A TAG.
058543,000288: 27,3062 00021 +3 STORE RAPO # APOGEE RADIUS M E:(-29) M:(-27)
058544,000289: 27,3063 77616 DUMPRPRA RVQ
058545,000290: # 30 W
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Page 1380
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058547,000292: # SUBROUTINE NAME: CALCTPER / CALCTFF DATE: 01.29.67
058548,000293: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
058549,000294: # MOD BY: RR BAIRNSFATHER
058550,000295: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 67
058551,000296: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 14 APR 67
058552,000297: # MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 8 JUL 67 NEAR EARTH MUE AND NEG TFF (GONEPAST)
058553,000298: # MOD NO: 4 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD VARIABLE MU.
058554,000299: # MOD NO: 5 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
058555,000300:
058556,000301: # FUNCTIONAL DESCRIPTION: PROGRAM CALCULATES THE FREE-FALL TIME OF FLIGHT FROM PRESENT POSITION RN AND
058557,000302: # VELOCITY VN TO A RADIUS LENGTH SPECIFIED BY RTERM, SUPPLIED BY THE USER. THE POSITION VECTOR
058558,000303: # RN MAY BE ON EITHER SIDE OF THE CONIC, BUT RTERM IS CONSIDERED ON THE INBOUND SIDE.
058559,000304: # THE EQUATIONS ARE
058560,000305:
058561,000306: # Q2 = -SQRT(RTERM (2-RTERM ALFA) - LCP) (INBOUND SIDE)) LEQ +- LCE/SQRT(ALFA)
058562,000307: # - -
058563,000308: # Q1 = RN.VN / SQRT(MU) LEQ +- LCE/SQRT(ALFA)
058564,000309:
058565,000310: # Z = NUM / DEN LEQ +- 1/SQRT(ALFA)
058566,000311:
058567,000312: # WHERE, IF INBOUND
058568,000313: # NUM = RTERM -RN LEQ +- 2 LCE/ALFA
058569,000314: # DEN = Q2+Q1 LEQ +- 2 LCE/SQRT(ALFA)
058570,000315:
058571,000316: # AND, IF OUTBOUND
058572,000317: # NUM = Q2-Q1 LEQ +- 2 LCE/SQRT(ALFA)
058573,000318: # DEN = 2 - ALFA (RTERM + RN). LEQ +- 2 LCE
058574,000319:
058575,000320: # IF ALFA ZZ < 1.0 (FOR ALL CONICS EXCEPT ELLIPSES HAVING ABS(DEL ECC ANOM) G 90 DEG)
058576,000321: # THEN X = ALFA Z Z
058577,000322: # AND TFF = (RTERM +RN -2 ZZ T(X) ) Z/SQRT(MU)
058578,000323: # EXCEPT IF ALFA PNZ, AND IF TFF NEG,
058579,000324: # THEN TFF = 2 PI /(ALFA SQRT(ALFA)) + TFF
058580,000325: # OR IF ALFA ZZ GEQ 1.0 (FOR ELLIPSES HAVING ABS(DEL ECC ANOM) GEQ 90 DEG)
058581,000326: # THEN X = 1/ALFA Z Z
058582,000327: # AND TFF = (PI/SQRT(ALFA) -Q2 +Q1 +2(X T(X) -1) /ALFA Z) /ALFA SQRT(MU)
058583,000328: # WHERE T(X) IS A POLYNOMIAL APPROXIMATION TO THE SERIES
058584,000329: # 2 3 2
058585,000330: # 1/3 - X/5 + X /7 - X /9 ... (X < 1.0)
058586,000331:
058587,000332: # CALLING SEQUENCE: TIME TO RTERM TIME TO PERIGEE
058588,000333: # CALL CALL
058589,000334: # CALCTFF CALCTPER
058590,000335: # C(MPAC) = TERMNL RAD M C(MPAC) = PERIGEE RAD M
058591,000336: # FOR EITHER, E:(-29) M:(-27)
058592,000337: # FOR EITHER, PUSHLOC = PDL+0, ARBITRARY IF LEQ 8D.
|
|
Page 1381
|
058594,000339:
058595,000340: # SUBROUTINES CALLED: T(X), VIA RTB
058596,000341:
058597,000342: # NORMAL EXIT MODE: RVQ
058598,000343: # HOWEVER, PROGRAM EXITS WITH ONE OF THE FOLLOWING VALUES FOR TFF (-28) CS IN MPAC. USER MUST STORE.
058599,000344: # A. TFF = FLIGHT TIME. NORMAL CASE FOR POSITIVE FLIGHT TIME LESS THAN ONE ORBITAL PERIOD.
058600,000345: # B. (THIS OPTION IS NO LONGER USED.)
058601,000346: # C. TFF = POSMAX. THIS INDICATES THAT THE CONIC FROM THE PRESENT POSITION WILL NOT RETURN TO
058602,000347: # THE SPECIFIED ALTITUDE. ALSO INDICATES OUTBOUND PARABOLA OR HYPERBOLA.
058603,000348:
058604,000349: # OUTPUT: C(MPAC) (-28) CS TIME OF FLIGHT, OR TIME TO PERIGEE
058605,000350: # TFFX (0) X, LEFT FOR ENTRY DISPLAY TFF ROUTINES
058606,000351: # NRTERM E:(-29+NR) M RTERM, WEIGHTED BY NR LEFT FOR ENTRY DISPLAY TFF ROUTINES
058607,000352: # M:(-27+NR)
058608,000353: # TFFTEM E:(-59+2NR) LCP Z Z SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
058609,000354: # M:(-55+2NR) LCP /ALFA SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
058610,000355: # NOTE: TFFTEM = PDL 36D AND WILL BE DESTROYED BY .:UNIT:.
058611,000356: # RMAG1 E:(-29) M:(-27) PDL 12 NOT TOUCHED.
058612,000357: # TFFQ1 E:(-16) M:(-15) PDL 14D
058613,000358: # TFFDELQ E:(-16) M:(-15) PDL 10D
058614,000359: # PUSHLOC AT PDL+0
058615,000360:
058616,000361: # ERASABLE INITIALIZATION REQUIRED:
058617,000362: # RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY USER
058618,000363: # VONE' E:(+10) M:(+9) VN/SQRT(MU) LEFT BY TFF/CONIC
058619,000364: # RMAG1 E:(-29) M:(-27) PRESENT RADIUS, M LEFT BY TFFCONIC
058620,000365: # C(MPAC) E:(-29) M:(-27) RTERM, TERMINAL RADIUS LENGTH, M LEFT BY USER
058621,000366:
058622,000367: # THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
058623,000368: # TFF/RTMU E:(17) M:(14) 1/SQRT(MU) LEFT BY TFFCONIC.
058624,000369: # NRMAG E:(-29+NR) M RMAG, NORMALIZED LEFT BY TFFCONIC
058625,000370: # M:(-27+NR)
058626,000371: # X1 -NR, NORM COUNT LEFT BY TFFCONIC
058627,000372: # TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHT NR LEFT BY TFFCONIC
058628,000373: # M:(-36+2NR)
058629,000374: # TFFALFA E:(26-NR) 1/M ALFA, WEIGHT NR LEFT BY TFFCONIC
058630,000375: # M:(24-NR)
058631,000376: # TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED LEFT BY TFFCONIC
058632,000377: # M:(9+NA)
058633,000378: # X2 -NA, NORM COUNT LEFT BY TFFCONIC
058634,000379: # TFF1/ALF E:(-22-2NA) SIGNED SEMIMAJ AXIS, WEIGHTED BY NA LEFT BY TFFCONIC
058635,000380: # M:(-20-2NA)
058636,000381:
058637,000382: # DEBRIS: QPRET, PDL+0 ... PDL+3
058638,000383: # RTERM E:(-29) M:(-27) RTERM, TERMINAL RADIUS LENGTH
058639,000384: # RAPO E:(-29) M:(-27) PDL 16D (=NRTERM)
058640,000385: # RPER E:(-29) M:(-27) PDL 14D (=TFFQ1)
058641,000386:
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|
Page 1382
|
058643,000388: 27,3064 77614 CALCTPER SETGO # ENTER WITH RPER IN MPAC
058644,000389: 27,3065 03436 TFFSW
058645,000390: 27,3066 57071 +3
058646,000391: 27,3067 77614 CALCTFF CLEAR # ENTER WITH RTERM IN MPAC
058647,000392: 27,3070 03676 TFFSW
058648,000393: 27,3071 00023 +3 STORE RTERM # E:(-29) M:(-27)
058649,000394: 27,3072 77657 SL*
058650,000395: 27,3073 20201 0,1 # X1=-NR
058651,000396: 27,3074 00021 STORE NRTERM # RTERM E:(-29+NR) M:(-27+NR)
058652,000397: 27,3075 44205 DMP BDSU
058653,000398: 27,3076 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
058654,000399: 27,3077 15325 TFF1/4
058655,000400: 27,3100 41206 PUSH DMP # (2-ALFA RTERM) (-3) TO PDL+0
058656,000401: 27,3101 00021 NRTERM # E:(-29+NR) M:(-27+NR)
058657,000402: 27,3102 53725 PDDL SR* # RTERM(2-ALFA RTERM) TO PDL+2
058658,000403: # E:(-32+NR) M:(-30+NR)
058659,000404: 27,3103 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
058660,000405: 27,3104 20573 0 -6,1 # X1 = -NR
058661,000406: 27,3105 43276 DCOMP DAD # DUE TO SHIFTS, KEEP PRECISION FOR SQRT
058662,000407: # RTERM(2-ALFA RTERM) FROM PDL +2
058663,000408: # E:(-32+NR) M:(-30+NR)
058664,000409: 27,3106 77657 SR* # LEAVE E:(-32) M:(-30)
058665,000410: 27,3107 20601 0,1 # X1 = -NR
058666,000411: 27,3110 71214 BOFF DLOAD # CHECK TFF /TPER SWITCH
058667,000412: 27,3111 03756 TFFSW
058668,000413: 27,3112 57114 +2 # IF TFF, CONTINUE
058669,000414: 27,3113 15335 TFFZEROS # IF TPER, SET Q2 = 0
058670,000415: 27,3114 75440 +2 BMN SQRT # E:(-16) M:(-15)
058671,000416: 27,3115 57247 MAXTFF1 # NO FREE FALL CONIC TO RTERM FROM HERE
058672,000417: # RESET PDL, SET TFF=POSMAX, AND EXIT.
058673,000418:
058674,000419: 27,3116 41076 DCOMP BOVB # RT IS ON INBOUND SIDE. ASSURE OVFIND=0
058675,000420: 27,3117 57352 TCDANZIG # ANY PORT IN A STORM.
058676,000421: 27,3120 24045 STOVL TFFTEM # Q2 E:(-16) M:(-15)
058677,000422: 27,3121 02372 VONE' # VN/SQRT(MU) E:(10) M:(9)
058678,000423: 27,3122 52441 DOT SL3
058679,000424: 27,3123 02327 RONE # SAVED RN. E:(-29) M:(-27)
058680,000425: 27,3124 00017 STORE TFFQ1 # Q1, SAVE FOR GONEPAST TEST.
058681,000426: # E:(-16) M:(-15)
058682,000427: 27,3125 44240 BMN BDSU
058683,000428: 27,3126 57147 INBOUND # USE ALTERNATE Z
058684,000429: 27,3127 00045 TFFTEM # Q2 E:(-16) M:(-15)
058685,000430:
058686,000431: # OUTBOUND Z CALC CONTINUES HERE
058687,000432:
058688,000433: 27,3130 14043 STODL TFFX # NUM=Q2-Q1 E:(-16) M:(-15)
058689,000434: 27,3131 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
058690,000435: 27,3132 44205 DMP BDSU
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|
Page 1383
|
058692,000437: 27,3133 00041 NRMAG # RMAG E:(-29+NR) M:(-27+NR)
058693,000438: # (2-RTERM ALFA) (-3) FROM PDL+0
058694,000439: 27,3134 51406 SAVEDEN PUSH ABS # DEN TO PDL+0 E:(-3) OR (-16)
058695,000440: # M:(-3) OR (-15)
058696,000441: 27,3135 40015 DAD BOV # INDETERMINANCY TEST
058697,000442: 27,3136 17360 LIM(-22) # =1.0-B(-22)
058698,000443: 27,3137 57160 TFFXTEST # GO IF DEN >/= B(-22)
058699,000444: 27,3140 65345 DLOAD PDDL # SET DEN=0 OTHERWISE
058700,000445: 27,3141 15335 TFFZEROS
058701,000446: # XCH ZERO WITH PDL+0
058702,000447: 27,3142 57545 DLOAD DCOMP
058703,000448: 27,3143 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
058704,000449: 27,3144 71240 BMN DLOAD # FOR TPER: Z INDET AT DELE/2=0 AND 90.
058705,000450: 27,3145 57254 TFFEL1 # ASSUME 90, AND LEAVE 0 IN PDL: 1/Z=D/N
058706,000451:
058707,000452: # Z INDET. AT PERIGEE FOR PARAB OR HYPERB.
058708,000453: 27,3146 77616 DUMPTFF1 RVQ # RETURN TFF =0
058709,000454:
058710,000455: # INBOUND Z CALC CONTINUES HERE
058711,000456:
058712,000457: 27,3147 77745 INBOUND DLOAD # RESET PDL+0
058713,000458: 27,3150 45345 DLOAD DSU # ALTERNATE Z CALC
058714,000459: 27,3151 00023 RTERM # E:(-29) M:(-27)
058715,000460: 27,3152 00015 RMAG1 # E:(-29) M:(-27)
058716,000461: 27,3153 14043 STODL TFFX # NUM=RTERM-RN E:(-29) M:(-27)
058717,000462: 27,3154 00045 TFFTEM # Q2 E:(-16) M:(-15)
058718,000463: 27,3155 52015 DAD GOTO
058719,000464: 27,3156 00017 TFFQ1 # Q1 E:(-16) M:(-15)
058720,000465: 27,3157 57134 SAVEDEN # DEN = Q2+Q1 E:(-16) M:(-15)
058721,000466:
058722,000467: 27,3160 65215 TFFXTEST DAD PDDL # (ABS(DEN) TO PDL+2)) E:(-3) OR (-16)
058723,000468: # M:(-3) OR (-15)
058724,000469: 27,3161 17362 DP(-22) # RESTORE ABS(DEN) TO MPAC
058725,000470: 27,3162 00043 TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
058726,000471: 27,3163 53605 DMP SR*
058727,000472: 27,3164 00031 TFFRTALF # SQRT(ALFA) E:(10+NA) M:(9+NA)
058728,000473: 27,3165 57201 0 -3,2 # X2=-NA
058729,000474: 27,3166 77671 DDV # C(MPAC) =NUM SQRT(ALFA) E:(-3) OR (-16)
058730,000475: # M:(-3) OR (-15)
058731,000476: # ABS(DEN) FROM PDL+2 E:(-3) OR (-16)
058732,000477: # M:(-3) OR (-15)
058733,000478: 27,3167 40145 DLOAD BOV # (THE DLOAD IS SHARED WITH TFFELL)
058734,000479: 27,3170 00043 TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
058735,000480: 27,3171 57252 TFFELL # USE EQN FOR DELE GEQ 90, LEQ -90
058736,000481:
058737,000482: # OTHERWISE, CONTINUE FOR GENERAL CONIC FOR TFF EQN
058738,000483:
058739,000484: 27,3172 45471 DDV STADR
058740,000485: # DEN FROM PDL+0 E:(-3) OR (-16)
058741,000486: # M:(-3) OR (-15)
058742,000487: 27,3173 77732 STORE TFFTEM # Z SAVE FOR SIGN OF SDELF.
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Page 1384
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058744,000489: # E:(-13) M:(-12)
058745,000490: 27,3174 63406 PUSH DSQ # Z TO PDL+0
058746,000491: 27,3175 41206 PUSH DMP # Z SQ TO PDL+2 E:(-26) M:(-24)
058747,000492: 27,3176 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
058748,000493: 27,3177 75261 SL SIGN
058749,000494: 27,3200 20206 5
058750,000495: 27,3201 00045 TFFTEM # AFFIX SIGN FOR SDELF (ENTRY DISPLAY)
058751,000496: 27,3202 14045 STODL TFFTEM # P ZSQ E:(-59+2NR) M:(-55+2NR)
058752,000497: # (ARG IS USED IN TFF/TRIG)
058753,000498: # ZSQ FROM PDL+2 E:(-26) M:(-24)
058754,000499: 27,3203 41206 PUSH DMP # RESTORE PUSH LOC
058755,000500: 27,3204 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
058756,000501: 27,3205 77657 SL*
058757,000502: 27,3206 20201 0,1 # X1=-NR
058758,000503: 27,3207 00043 STORE TFFX # X
058759,000504: 27,3210 41234 RTB DMP
058760,000505: 27,3211 57334 T(X) # POLY
058761,000506: # ZSQ FROM PDL+2 E:(-26) M:(-24)
058762,000507: 27,3212 44302 SR2 BDSU # 2 ZSQ T(X) E:(-29) M:(-27)
058763,000508: 27,3213 00023 RTERM # RTERM E:(-29) M:(-27)
058764,000509: 27,3214 41215 DAD DMP
058765,000510: 27,3215 00015 RMAG1 # E:(-29) M:(-27)
058766,000511: # Z FROM PDL+0 E:(-13) M:(-12)
058767,000512: 27,3216 51042 SR3 BPL # TFF SQRT(MU) E:(-45) M:(-42)
058768,000513: 27,3217 57240 ENDTFF # (NO PUSH UP)
058769,000514: 27,3220 75206 PUSH SIGN # TFF SQRT(MU) TO PDL+0
058770,000515: 27,3221 00017 TFFQ1 # Q1 FOR GONEPAST TEST
058771,000516: 27,3222 71244 BPL DLOAD # GONE PAST ?
058772,000517: 27,3223 57244 NEGTFF # YES. TFF < 0.
058773,000518: 27,3224 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058774,000519: 27,3225 51076 DCOMP BPL # ALFA > 0 ?
058775,000520: 27,3226 57244 NEGTFF # NO. TFF IS NEGATIVE.
058776,000521:
058777,000522: # CORRECT FOR ORBITAL PERIOD.
058778,000523:
058779,000524: 27,3227 77676 DCOMP # YES. CORRECT FOR ORB PERIOD.
058780,000525: 27,3230 56205 DMP DDV
058781,000526: 27,3231 17356 PI/16 # 2 PI (-5)
058782,000527: 27,3232 00031 TFFRTALF # SQRT(ALFA) E:(10+NA) M:(9+NA)
058783,000528: 27,3233 53657 SL* SL*
058784,000529: 27,3234 57602 0 -4,2 # X2=-NA
058785,000530: 27,3235 57602 0 -4,2
058786,000531: 27,3236 43257 SL* DAD
058787,000532: 27,3237 57576 0,2
058788,000533: # TFF SQRT(MU) FROM PDL+0 E:(-45) M:(-42)
058789,000534: 27,3240 40005 ENDTFF DMP BOV # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
058790,000535: 27,3241 00037 TFF/RTMU # E:(17) M:(14)
058791,000536: 27,3242 57250 MAXTFF # SET POSMAX IF OVFL.
058792,000537:
058793,000538: 27,3243 77616 DUMPTFF2 RVQ # RETURN TFF (-28) CS IN MPAC.
058794,000539:
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|
Page 1385
|
058796,000541: 27,3244 77745 NEGTFF DLOAD
058797,000542: # TFF SQRT(MU) FROM PDL+0, NEGATIVE.
058798,000543: 27,3245 77650 GOTO
058799,000544: 27,3246 57240 ENDTFF
058800,000545:
058801,000546: 27,3247 77745 MAXTFF1 DLOAD # RESET PDL
058802,000547: 27,3250 43545 MAXTFF DLOAD RVQ
058803,000548: 27,3251 17372 NEARONE
058804,000549:
058805,000550: # TIME OF FLIGHT ELLIPSE WHEN DEL (ECCENTRIC ANOM) GEQ 90 AND LEQ -90.
058806,000551:
058807,000552: # NUM FROM TFFX. E:(-16) OR (-29)
058808,000553: # M:(-15) OR (-27)
058809,000554: 27,3252 77712 TFFELL SL2 # NUM E:(-14) OR (-27) M:(-13) OR (-25)
058810,000555: 27,3253 41465 BDDV PUSH # TEMP SAVE D/N IN PDL+0
058811,000556: # DEN FROM PDL+0 E:(-3)/( 16) M:(-3)/(-15)
058812,000557: # N/D TO PDL+0 E:(11) M:(10)
058813,000558: 27,3254 45345 TFFEL1 DLOAD DSU # (ENTER WITH D/N=0 IN PDL+0)
058814,000559: 27,3255 00045 TFFTEM # Q2 E:(-16) M:(-15)
058815,000560: 27,3256 00017 TFFQ1 # Q1 E:(-16) M:(-15)
058816,000561: 27,3257 14013 STODL TFFDELQ # Q2-Q1 E:(-16) M:(-15)
058817,000562: # D/N FROM PDL+0
058818,000563: 27,3260 77626 STADR
058819,000564: 27,3261 77732 STORE TFFTEM # D/N E:(11) M:(10)
058820,000565: 27,3262 53605 DMP SL*
058821,000566: 27,3263 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058822,000567: 27,3264 57576 0,2 # 1/ALFA Z E:(-11-NA) M:(-10-NA)
058823,000568: 27,3265 41206 PUSH DMP # TO PDL+0
058824,000569: 27,3266 00045 TFFTEM # 1/Z E:(11) M:(10)
058825,000570: 27,3267 41057 SL* BOVB
058826,000571: 27,3270 57576 0,2 # X2= -NA
058827,000572: 27,3271 45712 SIGNMPAC # IN CASE X= 1.0, CONTINUE
058828,000573: 27,3272 00043 STORE TFFX # X=1/ALFA ZSQ
058829,000574: 27,3273 41234 RTB DMP
058830,000575: 27,3274 57334 T(X) # POLY
058831,000576: 27,3275 00043 TFFX
058832,000577: 27,3276 45242 SR3 DSU
058833,000578: 27,3277 17364 DP2(-3)
058834,000579: 27,3300 41405 DMP PUSH # 2(X T(X)-1) /Z ALFA E:(-15-NA)
058835,000580: # M:(-14-NA)
058836,000581: # 1/ALFA Z FROM PDL+0 E:(-11-NA)
058837,000582: # M:(-10-NA)
058838,000583: 27,3301 41345 DLOAD DMP # GET SIGN FOR SDELF
058839,000584: 27,3302 00045 TFFTEM # 1/Z E:(11) M:(10)
058840,000585: 27,3303 00015 RMAG1 # E:(-29) M:(-27)
058841,000586: 27,3304 43312 SL2 DAD
058842,000587: 27,3305 00017 TFFQ1 # Q1 E:(-16) M:(-15)
058843,000588: 27,3306 14045 STODL TFFTEM # (Q1+R 1/Z) =SGN OF SDELF E:(-16) M:(-15
058844,000589: 27,3307 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
058845,000590: 27,3310 53605 DMP SL* # CALC FOR ARG FOR TFF/TRIG.
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|
Page 1386
|
058847,000592: 27,3311 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058848,000593: 27,3312 57575 1,2 # X2=-NA
058849,000594: 27,3313 53765 SIGN SL*
058850,000595: 27,3314 00045 TFFTEM # AFFIX SIGN FOR SDELF
058851,000596: 27,3315 57576 0,2
058852,000597: 27,3316 14045 STODL TFFTEM # P/ALFA E:(-59+2NR) M:(-55+2NR)
058853,000598: # (ARG FOR USE IN TFF/TRIG)
058854,000599: 27,3317 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058855,000600: 27,3320 41366 SQRT DMP
058856,000601: 27,3321 17356 PI/16 # PI (-4)
058857,000602: 27,3322 77615 DAD
058858,000603: # 2(XT(X)-1)/Z ALFA FROM PDL E:(-15-NA)
058859,000604: # M:(-14-NA)
058860,000605: 27,3323 45257 SL* DSU
058861,000606: 27,3324 57577 0 -1,2
058862,000607: 27,3325 00013 TFFDELQ # Q2-Q1 E:(-16) M:(-15)
058863,000608: 27,3326 53605 DMP SL*
058864,000609: 27,3327 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
058865,000610: 27,3330 57601 0 -3,2
058866,000611: 27,3331 52057 SL* GOTO
058867,000612: 27,3332 57602 0 -4,2
058868,000613: 27,3333 57240 ENDTFF # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
058869,000614:
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|
Page 1387
|
058871,000616: # PROGRAM NAME: T(X) DATE: 01.17.67
058872,000617: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
058873,000618: # MOD BY: RR BAIRNSFATHER
058874,000619:
058875,000620: # FUNCTIONAL DESCRIPTION: THE POLYNOMIAL T(X) IS USED BY TIME OF FLIGHT SUBROUTINES CALCTFF AND
058876,000621: # CALCTPER TO APPROXIMATE THE SERIES
058877,000622: # 2 3
058878,000623: # 1/3 -X/5 +X /7 -X /9 ...
058879,000624:
058880,000625: # WHERE X = ALFA Z Z IF ALFA Z Z LEQ 1
058881,000626: # X = 1/(ALFA Z Z) IF ALFA Z Z G 1
058882,000627:
058883,000628: # ALSO X IS NEG FOR HYPERBOLIC ORBITS
058884,000629: # X = 0 FOR PARABOLIC ORBITS
058885,000630: # X IS POSITIVE FOR ELLIPTIC ORBITS
058886,000631:
058887,000632: # FOR FLIGHT 278, THE POLYNOMIAL T(X) IS FITTED OVER THE RANGE (0,+1) AND HAS A MAXIMUM
058888,000633: # DEVIATION FROM THE SERIES OF 2 E-5 (T(X) IS A CHEBYCHEV TYPE FIT AND WAS OBTAINED USING
058889,000634: # MAC PROGRAM AUTCURFIT294RRB AND IS VALID TO THE SAME TOLERANCE OVER THE RANGE (-.08,+1).)
058890,000635:
058891,000636: # CALLING SEQUENCE: RTB
058892,000637: # T(X)
058893,000638: # C(MPAC) = X
058894,000639:
058895,000640: # SUBROUTINES CALLED: NONE
058896,000641:
058897,000642: # NORMAL EXIT MODE: TC DANZIG
058898,000643:
058899,000644: # ALARMS: NONE
058900,000645:
058901,000646: # OUTPUT: C(MPAC) = T(X)
058902,000647:
058903,000648: # ERASABLE INITIALIZATION REQUIRED:
058904,000649: # C(MPAC) = X
058905,000650:
058906,000651: # DEBRIS: NONE
058907,000652:
058908,000653: 27,3334 07171 T(X) TC POLY
058909,000654: 27,3335 00004 DEC 4 B-14 # N-1
058910,000655: 27,3336 12525 12525 2DEC 3.333333333 E-1
058911,000656: 27,3340 71463 57703 2DEC* -1.999819135 E-1*
058912,000657: 27,3342 04423 17645 2DEC* 1.418148467 E-1*
058913,000658: 27,3344 74604 43667 2DEC* -1.01310997 E-1*
058914,000659: 27,3346 01626 37256 2DEC* 5.609004986 E-2*
058915,000660: 27,3350 77404 52071 2DEC* -1.536156925 E-2*
058916,000661:
058917,000662: 27,3352 06030 ENDT(X) TC DANZIG
058918,000663:
058919,000664: 27,3353 27,3352 TCDANZIG = ENDT(X)
058920,000665:
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Page 1388
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058922,000667: # TFF CONSTANTS
058923,000668:
058924,000669: 32,3770 BANK 32
058925,000670:
058926,000671: 27,2000 SETLOC TOF-FF1
058927,000672: 27,2000 BANK
058928,000673:
058929,000674: # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
058930,000675: # MUE = 3.990815471 E10 M CUBE/CS SQ
058931,000676: # RTMUE = 1.997702549 E5 B-18* MODIFIED EARTH MU
058932,000677:
058933,000678: 27,3353 24775 30424 1/RTMU 2DEC* .5005750271 E-5 B17* # MODIFIED EARTH MU
058934,000679:
058935,000680: # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
058936,000681: # MUM = 4.902778 E8 M CUBE/CS SQ
058937,000682: # RTMUM 2DEC* 2.21422176 E4 B-18*
058938,000683: 27,3355 06220 37553 PI/16 2DEC 3.141592653 B-4
058939,000684: 27,3357 37777 37700 LIM(-22) 2OCT 3777737700 # 1.0 -B(-22)
058940,000685: 27,3361 00000 00100 DP(-22) 2OCT 0000000100 # B(-22)
058941,000686: 27,3363 04000 00000 DP2(-3) 2DEC 1 B-3
058942,000687: 27,3365 02000 00000 DP2(-4) 2DEC 1 B-4 # 1/16
058943,000688:
058944,000689: # RPAD1 2DEC 6373338 B-29 M (-29) = 20909901.57 FT
058945,000690: 27,3367 22,3151 RPAD1 = RPAD
058946,000691:
058947,000692: 27,3367 00305 11205 R300K 2DEC 6464778 B-29 # (-29) M
058948,000693: 27,3371 37777 37777 NEARONE 2DEC .999999999
058949,000694: 27,3373 26,3334 TFFZEROS EQUALS HI6ZEROS
058950,000695: 27,3373 26,3324 TFF1/4 EQUALS HIDP1/4
End of include-file TIME_OF_FREE_FALL.agc. Parent file is MAIN.agc