GAP: ASSEMBLE REVISION 131 OF AGC PROGRAM LUMINARY BY NASA 2021112-091 17:53 DEC. 19, 1969Note that the date is the date the printout was made, not the date on which the program revision was released, although these happen to be very close together.
Source Code
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This source code is very close to the Apollo Guidance Computer software for the
Apollo 13 Lunar module. This revision of the Luminary 131 program is from December
of 1969, whereas there was a later revision in January of 1970, and still another
revision in February, which is the code that flew on the mission.
As far as this transcription is concerned, it was originally from a copy made in 1991 of
a printout from the collection of AGC developer Don Eyles for collector David Craig.
It was subsequently scanned by Gary Neff, reprocessed for online
presentation at the now-discontinued History of Recent Science and Technology (HRST) website
of MIT's Dibner Institute (the full-quality scans being discarded in the process),
and finally transcribed by Ron Burkey for the Virtual AGC Project. Although a
high-quality replacement scan for a completely illegible page was later provided by Gary
Neff, the reduced legibility of the reprocessed HRST posting nevertheless caused many
errors to be introduced into the transcription. Accordingly, a second scan of the same physical
printout was made in 2017 for the Virtual AGC Project's collection at the Internet Archive,
and used to correct the transcription errors. All of the scanned materials mentioned,
as well as other Luminary 131 related material, are available online.
Don Eyles apprently made additional hand-written notes in printout between 1991 and 2017,
so the two scans are not identical in that respect. The page-headings in the printout read, in part:GAP: ASSEMBLE REVISION 131 OF AGC PROGRAM LUMINARY BY NASA 2021112-091 17:53 DEC. 19, 1969Note that the date is the date the printout was made, not the date on which the program revision was released, although these happen to be very close together. |
014176,000002: ## Copyright: Public domain.
014177,000003: ## Filename: ATTITUDE_MANEUVER_ROUTINE.agc
014178,000004: ## Purpose: A section of Luminary 1C, revision 131.
014179,000005: ## It is part of the source code for the Lunar Module's (LM)
014180,000006: ## Apollo Guidance Computer (AGC) for Apollo 13.
014181,000007: ## This file is intended to be a faithful transcription, except
014182,000008: ## that the code format has been changed to conform to the
014183,000009: ## requirements of the yaYUL assembler rather than the
014184,000010: ## original YUL assembler.
014185,000011: ## Reference: pp. 344-365
014186,000012: ## Contact: Ron Burkey <info@sandroid.org>.
014187,000013: ## Website: www.ibiblio.org/apollo/index.html
014188,000014: ## Mod history: 05/10/03 RSB. Began transcribing.
014189,000015: ## 05/14/05 RSB Corrected website reference above.
014190,000016: ## 2010-08-24 JL Added missing page number comments.
014191,000017: ## 2017-01-06 RSB Page numbers now agree with those on the
014192,000018: ## original harcopy, as opposed to the PDF page
014193,000019: ## numbers in 1701.pdf.
014194,000020: ## 2017-02-23 RSB Proofed comment text using octopus/ProoferComments.
014195,000021: ## 2017-02-28 RSB Fixed lingering typos.
014196,000022: ## 2017-03-07 RSB Comment-text fixes noted in proofing Luminary 116.
014197,000023: ## 2017-03-15 RSB Comment-text fixes identified in 5-way
014198,000024: ## side-by-side diff of Luminary 69/99/116/131/210.
014199,000025:
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Page 344 |
014201,000027: # BLOCK 2 LGC ATTITUDE MANEUVER ROUTINE - KALCMANU
014202,000028:
014203,000029: # MOD 2 DATE 5/1/67 BY DON KEENE
014204,000030:
014205,000031: # PROGRAM DESCRIPTION
014206,000032:
014207,000033: # KALCMANU IS A ROUTINE WHICH GENERATES COMMANDS FOR THE LM DAP TO CHANGE THE ATTITUDE OF THE SPACECRAFT
014208,000034: # DURING FREE FALL. IT IS DESIGNED TO MANEUVER THE SPACECRAFT FROM ITS INITIAL ORIENTATION TO SOME DESIRED
014209,000035: # ORIENTATION SPECIFIED BY THE PROGRAM WHICH CALLS KALCMANU, AVOIDING GIMBAL LOCK IN THE PROCESS. IN THE
014210,000036: # MOD 2 VERSION, THIS DESIRED ATTITUDE IS SPECIFIED BY A SET OF THREE COMMANDED CDU ANGLES STORED AS 2S COMPLEMENT
014211,000037: # SINGLE PRECISION ANGLES IN THE THREE CONSECUTIVE LOCATIONS, CPHI, CTHETA, CPSI, WHERE
014212,000038:
014213,000039: # CPHI = COMMANDED OUTER GIMBAL ANGLE
014214,000040: # CTHETA = COMMANDED INNER GIMBAL ANGLE
014215,000041: # CPSI = COMMANDED MIDDLE GIMBAL ANGLE
014216,000042:
014217,000043: # WHEN POINTING A SPACECRAFT AXIS (E.I. X, Y, Z, THE AOT, THRUST AXIS, ETC) THE SUBROUTINE VECPOINT MAY BE
014218,000044: # USED TO GENERATE THIS SET OF DESIRED CDU ANGLES (SEE DESCRIPTION IN R60) -
014219,000045:
014220,000046: # WITH THIS INFORMATION KALCMANU DETERMINES THE DIRECTION OF THE SINGLE EQUIVALENT ROTATION (COF ALSO U) AND THE
014221,000047: # MAGNITUDE OF THE ROTATION (AM) TO BRING THE S/C FROM ITS INITIAL ORIENTATION TO ITS FINAL ORIENTATION.
014222,000048: # THIS DIRECTION REMAINS FIXED BOTH IN INERTIAL COORDINATES AND IN COMMANDED S/C AXES THROUGHOUT THE
014223,000049: # -
014224,000050: # MANEUVER. ONCE COF AND AM HAVE BEEN DETERMINED, KALCMANU THEN EXAMINES THE MANEUVER TO SEE IF IT WILL BRING
014225,000051: # -
014226,000052: # THE S/C THROUGH GIMBAL LOCK. IF SO, COF AND AM ARE READJUSTED SO THAT THE S/C WILL JUST SKIM THE GIMBAL
014227,000053: # LOCK ZONE AND ALIGN THE X-AXIS. IN GENERAL A FINAL YAW ABOUT X WILL BE NECESSARY TO COMPLETE THE MANEUVER.
014228,000054: # NEEDLESS TO SAY, NEITHER THE INITIAL NOR THE FINAL ORIENTATION CAN BE IN GIMBAL LOCK.
014229,000055:
014230,000056: # FOR PROPER ATTITUDE CONTROL THE DIGITAL AUTOPILOT MUST BE GIVEN AN ATTITUDE REFERENCE WHICH IT CAN TRACK.
014231,000057: # KALCMANU DOES THIS BY GENERATING A REFERENCE OF DESIRED GIMBAL ANGLES (CDUXD, CDUYD, CDUZD) WHICH ARE UPDATED
014232,000058: # EVERY ONE SECOND DURING THE MANEUVER. TO ACHIEVE A SMOOTHER SEQUENCE OF COMMANDS BETWEEN SUCCESSIVE UPDATES,
014233,000059: # THE PROGRAM ALSO GENERATES A SET OF INCREMENTAL CDU ANGLES (DELDCDU) TO BE ADDED TO CDU DESIRED BY THE DIGITAL
014234,000060: # AUTOPILOT. KALCMANU ALSO CALCULATES THE COMPONENT MANEUVER RATES (OMEGAPD, OMEGAQD, OMEGARD), WHICH CAN
014235,000061: # -
014236,000062: # BE DETERMINED SIMPLY BY MULTIPLYING COF BY SOME SCALAR (ARATE) CORRESPONDING TO THE DESIRED ROTATIONAL RATE.
014237,000063:
014238,000064: # AUTOMATIC MANEUVERS ARE TIMED WITH THE HELP OF WAITLIST SO THAT AFTER A SPECIFIED INTERVAL THE Y AND Z
014239,000065: # DESIRED RATES ARE SET TO ZERO AND THE DESIRED CDU ANGLES (CDUYD, CDUZD) ARE SET EQUAL TO THE FINAL DESIRED CDU
014240,000066: # ANGLES (CTHETA, CPSI). IF ANY YAW REMAINS DUE TO GIMBAL LOCK AVOIDANCE, THE FINAL YAW MANEUVER IS
014241,000067: # CALCULATED AND THE DESIRED YAW RATE SET TO SOME FIXED VALUE (ROLLRATE = + OR - 2 DEGREES PER SEC).
014242,000068: # IN THIS CASE ONLY AN INCREMENTAL CDUX ANGLE (DELFROLL) IS SUPPLIED TO THE DAP. AT THE END OF THE YAW
014243,000069: # MANEUVER OR IN THE EVENT THAT THERE WAS NO FINAL YAW, CDUXD IS SET EQUAL TO CPHI AND THE X-AXIS DESIRED
014244,000070: # RATE SET TO ZERO. THUS, UPON COMPLETION OF THE MANEUVER THE S/C WILL FINISH UP IN A LIMIT CYCLE ABOUT THE
014245,000071: # DESIRED FINAL GIMBAL ANGLES.
014246,000072:
014247,000073: # PROGRAM LOGIC FLOW
014248,000074:
014249,000075: # KALCMANU IS CALLED AS A HIGH PRIORITY JOB WITH ENTRY POINTS AT KALCMAN3 AND VECPOINT. IT FIRST PICKS
014250,000076: # UP THE CURRENT CDU ANGLES TO BE USED AS THE BASIS FOR ALL COMPUTATIONS INVOLVING THE INITIAL S/C ORIENTATION.
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014252,000078: # IT THEN DETERMINES THE DIRECTION COSINE MATRICES RELATING BOTH THE INITIAL AND FINAL S/C ORIENTATION TO STABLE
014253,000079: # * * *
014254,000080: # MEMBER AXES (MIS,MFS). IT ALSO COMPUTES THE MATRIX RELATING FINAL S/C AXES TO INITIAL S/C AXES (MFI). THE
014255,000081: # ANGLE OF ROTATION (AM) IS THEN EXTRACTED FROM THIS MATRIX, AND TESTS ARE MADE TO DETERMINE IF
014256,000082:
014257,000083: # A) AM LESS THAN .25 DEGREES (MINANG)
014258,000084: # B) AM GREATER THAN 170 DEGREES (MAXANG)
014259,000085:
014260,000086: # IF AM LESS THAN .25 DEGREES, NO COMPLICATED AUTOMATIC MANEUVERING IS NECESSARY. THEREFORE WE CAN SIMPLY
014261,000087: # SET CDU DESIRED EQUAL TO THE FINAL CDU DESIRED ANGLES AND TERMINATE THE JOB.
014262,000088:
014263,000089: # IF AM IS GREATER THAN .25 DEGREES BUT LESS THAN 170 DEGREES, THE AXES OF THE SINGLE EQUIVALENT ROTATION
014264,000090: # - *
014265,000091: # (COF) IS EXTRACTED FROM THE SKEW SYMMETRIC COMPONENTS OF MFI. * *
014266,000092: # IF AM GREATER THAN 170 DEGREES AN ALTERNATE METHOD EMPLOYING THE SYMMETRIC PART OF MFI (MFISYM) IS USED
014267,000093: # -
014268,000094: # TO DETERMINE COF.
014269,000095:
014270,000096: # THE PROGRAM THEN CHECKS TO SEE IF THE MANEUVER AS COMPUTED WILL BRING THE S/C THROUGH GIMBAL LOCK. IF
014271,000097: # SO, A NEW MANEUVER IS CALCULATED WHICH WILL JUST SKIM THE GIMBAL LOCK ZONE AND ALIGN THE S/C X-AXIS. THIS
014272,000098: # METHOD ASSURES THAT THE ADDITIONAL MANEUVERING TO AVOID GIMBAL LOCK WILL BE KEPT TO A MINIMUM. SINCE A FINAL
014273,000099: # P AXIS YAW WILL BE NECESSARY, A SWITCH IS RESET (STATE SWITCH 31) TO ALLOW FOR THE COMPUTATION OF THIS FINAL
014274,000100: # YAW.
014275,000101:
014276,000102: # AS STATED PREVIOUSLY KALCMANU GENERATES A SEQUENCE OF DESIRED GIMBAL ANGLES WHICH ARE UPDATED EVERY
014277,000103: # -
014278,000104: # SECOND. THIS IS ACCOMPLISHED BY A SMALL ROTATION OF THE DESIRED S/C FRAME ABOUT THE VECTOR COF. THE NEW
014279,000105: # DESIRED REFERENCE MATRIX IS THEN,
014280,000106: # * * *
014281,000107: # MIS = MIS DEL
014282,000108: # N+1 N
014283,000109: # *
014284,000110: # WHERE DEL IS THE MATRIX CORRESPONDING TO THIS SMALL ROTATION. THE NEW CDU ANGLES CAN THEN BE EXTRACTED
014285,000111: # *
014286,000112: # FROM MIS.
014287,000113:
014288,000114: # AT THE BEGINNING OF THE MANEUVER THE AUTOPILOT DESIRED RATES (OMEGAPD, OMEGAQD, OMEGARD) AND THE
014289,000115: # MANEUVER TIMINGS ARE ESTABLISHED. ON THE FIRST PASS AND ON ALL SUBSEQUENT UPDATES THE CDU DESIRED
014290,000116: # ANGLES ARE LOADED WITH THE APPROPRIATE VALUES AND THE INCREMENTAL CDU ANGLES ARE COMPUTED. THE AGC CLOCKS
014291,000117: # (TIME1 AND TIME2) ARE THAN CHECKED TO SEE IF THE MANEUVER WILL TERMINATE BEFORE THE NEXT UPDATE. IF
014292,000118: # NOT, KALCMANU CALLS FOR ANOTHER UPDATE (RUN AS A JOB WITH PRIORITY TBD) IN ONE SECOND. ANY DELAYS IN THIS
014293,000119: # CALLING SEQUENCE ARE AUTOMATICALLY COMPENSATED IN CALLING FOR THE NEXT UPDATE.
014294,000120:
014295,000121: # IF IT IS FOUND THAT THE MANEUVER IS TO TERMINATE BEFORE THE NEXT UPDATE A ROUTINE IS CALLED (AS A WAIT-
014296,000122: # LIST TASK) TO STOP THE MANEUVER AT THE APPROPRIATE TIME AS EXPLAINED ABOVE.
014297,000123:
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014299,000125: # CALLING SEQUENCE
014300,000126:
014301,000127: # IN ORDER TO PERFORM A KALCMANU SUPERVISED MANEUVER, THE COMMANDED GIMBAL ANGLES MUST BE PRECOMPUTED AND
014302,000128: # STORED IN LOCATIONS CPHI, CTHETA, CPSI. THE USER:S PROGRAM MUST THEN CLEAR STATE SWITCH NO 33 TO ALLOW THE
014303,000129: # ATTITUDE MANEUVER ROUTINE TO PERFORM ANY FINAL P-AXIS YAW INCURRED BY AVOIDING GIMBAL LOCK. THE MANEUVER IS
014304,000130: # THEN INITIATED BY ESTABLISHING THE FOLLOWING EXECUTIVE JOB
014305,000131: # *
014306,000132: # CAF PRIO XX
014307,000133: # --
014308,000134: # INHINT
014309,000135: # TC FINDVAC
014310,000136: # 2CADR KALCMAN3
014311,000137: # RELINT
014312,000138:
014313,000139: # THE USER:S PROGRAM MAY EITHER CONTINUE OR WAIT FOR THE TERMINATION OF THE MANEUVER. IF THE USER WISHES TO
014314,000140: # WAIT, HE MAY PUT HIS JOB TO SLEEP WITH THE FOLLOWING INSTRUCTIONS
014315,000141:
014316,000142: # L TC BANKCALL
014317,000143: # L+1 CADR ATTSTALL
014318,000144: # L+2 (BAD RETURN)
014319,000145: # L+3 (GOOD RETURN)
014320,000146:
014321,000147: # UPON COMPLETION OF THE MANEUVER, THE PROGRAM WILL BE AWAKENED AT L+3 IF THE MANEUVER WAS COMPLETED
014322,000148: # SUCCESSFULLY, OR AT L+2 IF THE MANEUVER WAS ABORTED. THIS ABORT WOULD OCCUR IF THE INITIAL OR FINAL ATTITUDE
014323,000149: # WAS IN GIMBAL LOCK.
014324,000150:
014325,000151: # *** NOTA BENE *** IT IS ASSUMED THAT THE DESIRED MANEUVERING RATE (0.5, 2, 5, 10, DEG/SEC) HAS BEEN SELECTED BY
014326,000152: # KEYBOARD ENTRY PRIOR TO THE EXECUTION OF KALCMANU.
014327,000153:
014328,000154: # IT IS ALSO ASSUMED THAT THE AUTOPILOT IS IN THE AUTO MODE. IF THE MODE SWITCH IS CHANGED DURING THE
014329,000155: # MANEUVER, KALCMANU WILL TERMINATE VIA GOODEND WITHIN 1 SECOND SO THAT R60 MAY REQUEST A TRIM OF THE S/C ATTITUDE
014330,000156: # THIS IS THE ONLY MEANS FOR MANUALLY TERMINATING A KALCMANU SUPERVISED MANEUVER.
014331,000157: # SUBROUTINES
014332,000158:
014333,000159: # KALCMANU USES A NUMBER OF INTERPRETIVE SUBROUTINES WHICH MAY BE OF GENERAL INTEREST. SINCE THESE ROUTINES
014334,000160: # WERE PROGRAMMED EXCLUSIVELY FOR KALCMANU, THEY ARE NOT, AS YET, GENERALLY AVAILABLE FOR USE BY OTHER PROGRAMS.
014335,000161:
014336,000162: # MXM3
014337,000163: # ----
014338,000164:
014339,000165: # THIS SUBROUTINE MULTIPLIES TWO 3X3 MATRICES AND LEAVES THE RESULT IN THE FIRST 18 LOCATIONS OF THE PUSH
014340,000166: # DOWN LIST, I.E.,
014341,000167: # ( M M M )
014342,000168: # ( 0 1 2 )
014343,000169: # * ( ) * *
014344,000170: # M = ( M M M ) = M1 X M2
014345,000171: # ( 3 4 5 )
014346,000172: # ( )
014347,000173: # ( M M M )
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014349,000175: # ( 6 7 8 )
014350,000176: # *
014351,000177: # INDEX REGISTER X1 MUST BE LOADED WITH THE COMPLEMENT OF THE STARTING ADDRESS FOR M1, AND X2 MUST BE
014352,000178: # *
014353,000179: # LOADED WITH THE COMPLEMENT OF THE STARTING ADDRESS FOR M2. THE ROUTINE USES THE FIRST 20 LOCATIONS OF THE PUSH
014354,000180: # DOWN LIST. THE FIRST ELEMENT OF THE MATRIX APPEARS IN PDO. PUSH UP FOR M .
014355,000181: # 8
014356,000182: # TRANSPOS
014357,000183: # --------
014358,000184:
014359,000185: # THIS ROUTINE TRANSPOSES A 3X3 MATRIX AND LEAVES THE RESULT IN THE PUSH DOWN LIST, I.E.,
014360,000186: #
014361,000187: # * * T
014362,000188: # M = M1
014363,000189:
014364,000190: # INDEX REGISTER X1 MUST CONTAIN THE COMPLEMENT OF THE STARTING ADDRESS FOR M1. PUSH UP FOR THE FIRST AND SUB-
014365,000191: # *
014366,000192: # SEQUENT COMPONENTS OF M. THIS SUBROUTINE ALSO USES THE FIRST 20 LOCATIONS OF THE PUSH DOWN LIST.
014367,000193:
014368,000194: # CDU TO DCM
014369,000195: # ----------
014370,000196:
014371,000197: # THIS SUBROUTINE CONVERTS THREE CDU ANGLES IN T(MPAC) TO A DIRECTION COSINE MATRIX (SCALED BY 2) RELATING
014372,000198: # THE CORRESPONDING S/C ORIENTATIONS TO THE STABLE MEMBER FRAME. THE FORMULAS FOR THIS CONVERSION ARE
014373,000199:
014374,000200: # M = COSY COSZ
014375,000201: # 0
014376,000202:
014377,000203: # M = -COSY SINZ COSX + SINY SINX
014378,000204: # 1
014379,000205:
014380,000206: # M = COSY SINZ SINX + SINY COSX
014381,000207: # 2
014382,000208:
014383,000209: # M = SINZ
014384,000210: # 3
014385,000211:
014386,000212: # M = COSZ COSX
014387,000213: # 4
014388,000214:
014389,000215: # M = -COSZ SINX
014390,000216: # 5
014391,000217:
014392,000218: # M = -SINY COSZ
014393,000219: # 6
014394,000220: #
014395,000221: # M = SINY SINZ COSX + COSY SINX
014396,000222: # 7
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014398,000224: # M = -SINY SINZ SINX + COSY COSX
014399,000225: # 8
014400,000226:
014401,000227: # WHERE X = OUTER GIMBAL ANGLE
014402,000228: # Y = INNER GIMBAL ANGLE
014403,000229: # Z = MIDDLE GIMBAL ANGLE
014404,000230:
014405,000231: # THE INTERPRETATION OF THIS MATRIX IS AS FOLLOWS
014406,000232:
014407,000233: # IF A , A , A REPRESENT THE COMPONENTS OF A VECTOR IN S/C AXES THEN THE COMPONENTS OF THE SAME VECTOR IN
014408,000234: # X Y Z
014409,000235: # STABLE MEMBER AXES (B , B , B ) ARE
014410,000236: # X Y Z
014411,000237:
014412,000238: # ( B ) ( A )
014413,000239: # ( X ) ( X )
014414,000240: # ( ) ( )
014415,000241: # ( ) * ( )
014416,000242: # ( B ) = M ( A )
014417,000243: # ( Y ) ( Y )
014418,000244: # ( ) ( )
014419,000245: # ( B ) ( A )
014420,000246: # ( Z ) ( Z )
014421,000247:
014422,000248: # THE SUBROUTINE WILL STORE THIS MATRIX IN SEQUENTIAL LOCATIONS OF ERASABLE MEMORY AS SPECIFIED BY THE CALLING
014423,000249: # *
014424,000250: # PROGRAM. TO DO THIS THE CALLING PROGRAM MUST FIRST LOAD X2 WITH THE COMPLEMENT OF THE STARTING ADDRESS FOR M.
014425,000251:
014426,000252: # INTERNALLY, THE ROUTINE USES THE FIRST 16 LOCATIONS OF THE PUSH DOWN LIST, ALSO STEP REGISTER S1 AND INDEX
014427,000253: # REGISTER X2.
014428,000254:
014429,000255: # DCM TO CDU
014430,000256: # ----------
014431,000257: # *
014432,000258: # THIS ROUTINE EXTRACTS THE CDU ANGLES FROMA DIRECTION COSINE MATRIX (M SCALED BY 2) RELATING S/C AXIS TO
014433,000259: # *
014434,000260: # STABLE MEMBER AXES. X1 MUST CONTAIN THE COMPLEMENT OF THE STARTING ADDRESS FOR M. THE SUBROUTINE LEAVES THE
014435,000261: # CORRESPONDING GIMBAL ANGLES IN V(MPAC) AS DOUBLE PRECISION 1:S COMPLEMENT ANGLES SCALED BY 2PI. THE FORMULAS
014436,000262: # FOR THIS CONVERSION ARE
014437,000263:
014438,000264: # Z = ARCSIN (M )
014439,000265: # 3
014440,000266:
014441,000267: # Y = ARCSIN (-M /COSZ)
014442,000268: # 6
014443,000269:
014444,000270: # IF M IS NEGATIVE, Y IS REPLACED BY PI SGN Y - Y
014445,000271: # 0
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014447,000273: # X = ARCSIN (-M /COSZ)
014448,000274: # 5
014449,000275:
014450,000276: # IF M IS NEGATIVE X IS REPLACED BY PI SGN X - X
014451,000277: # 4
014452,000278:
014453,000279: # THIS ROUTINE DOES NOT SET THE PUSH DOWN POINTER, BUT USES THE NEXT 8 LOCATIONS OF THE PUSH DOWN LIST AND
014454,000280: # RETURNS THE POINTER TO ITS ORIGINAL SETTING. THIS PROCEDURE ALLOWS THE CALLER TO STORE THE MATRIX AT THE TOP OF
014455,000281: # THE PUSH DOWN LIST.
014456,000282:
014457,000283: # DELCOMP
014458,000284: # -------
014459,000285: # *
014460,000286: # THIS ROUTINE COMPUTES THE DIRECTION COSINE MATRIX (DEL) RELATING ON
014461,000287: # -
014462,000288: # IS ROTATED WITH RESPECT TO THE FIRST BY AN ANGLE, A, ABOUT A UNIT VECTOR, U. THE FORMULA FOR THIS MATRIX IS
014463,000289:
014464,000290: # * * - -T *
014465,000291: # DEL = I COSA + U U (1 - COSA) + V SINA
014466,000292: # X
014467,000293:
014468,000294: # WHERE * ( 1 0 0 )
014469,000295: # I = ( 0 1 0 )
014470,000296: # ( 0 0 1 )
014471,000297:
014472,000298: # 2
014473,000299: # ( U U U U U )
014474,000300: # ( X X Y X Z )
014475,000301: # ( )
014476,000302: # - -T ( 2 )
014477,000303: # U U = ( U U U U U )
014478,000304: # ( Y X Y Y Z )
014479,000305: # ( )
014480,000306: # ( 2 )
014481,000307: # ( U U U U U )
014482,000308: # ( Z X Z Y Z )
014483,000309:
014484,000310:
014485,000311: # ( 0 -U U )
014486,000312: # ( Z Y )
014487,000313: # * ( )
014488,000314: # V = ( U 0 -U )
014489,000315: # X ( Z X )
014490,000316: # ( )
014491,000317: # ( -U U 0 )
014492,000318: # ( Y X )
014493,000319:
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014495,000321: # -
014496,000322: # U = UNIT ROTATION VECTOR RESOLVED INTO S/C AXES
014497,000323: # A = ROTATION ANGLE
014498,000324:
014499,000325: # *
014500,000326: # THE INTERPRETATION OF DEL IS AS FOLLOWS
014501,000327:
014502,000328: # IF A , A , A REPRESENT THE COMPONENT OF A VECTOR INTHE ROTATED FRAME, THEN THE COMPONENTS OF THE SAME
014503,000329: # X Y Z
014504,000330: # VECTOR IN THE ORIGINAL S/C AXES (B , B , B ) ARE
014505,000331: # X Y Z
014506,000332:
014507,000333: # ( B ) ( A )
014508,000334: # ( X ) ( X )
014509,000335: # ( ) * ( )
014510,000336: # ( B ) = DEL ( A )
014511,000337: # ( Y ) ( Y )
014512,000338: # ( ) ( )
014513,000339: # ( B ) ( A )
014514,000340: # ( Z ) ( Z )
014515,000341:
014516,000342: # THE ROUTINE WILL STORE THIS MATRIX (SCALED UNITY) IN SEQUENTIAL LOCATIONS OF ERASABLE MEMORY BEGINNING WITH
014517,000343: # -
014518,000344: # THE LOCATION CALLED DEL. IN ORDER TO USE THE ROUTINE, THE CALLING PROGRAM MUST FIRST STORE U (A HALF UNIT
014519,000345: # DOUBLE PRECISION VECTOR) IN THE SET OF ERASABLE LOCATIONS BEGINNING WITH THE ADDRESS CALLED COF. THE ANGLE, A,
014520,000346: # MUST THEN BE LOADED INTO D(MPAC).
014521,000347: #
014522,000348: # INTERNALLY, THE PROGRAM ALSO USES THE FIRST 10 LOCATIONS OF THE PUSH DOWN LIST.
014523,000349:
014524,000350: # READCDUK
014525,000351: # --------
014526,000352:
014527,000353: # THIS BASIC LANGUAGE SUBROUTINE LOADS T(MPAC) WITH THE THREE CDU ANGLES.
014528,000354:
014529,000355: # SIGNMPAC
014530,000356: # --------
014531,000357:
014532,000358: # THIS IS A BASIC LANGUAGE SUBROUTINE WHICH LIMITS THE MAGNITUDE OF D(MPAC) TO + OR - DPOSMAX ON OVERFLOW.
014533,000359:
014534,000360: # PROGRAM STORAGE ALLOCATION
014535,000361:
014536,000362: # 1) FIXED MEMORY 1059 WORDS
014537,000363: # 2) ERASABLE MEMORY 98
014538,000364: # 3) STATE SWITCHES 3
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|
Page 351 |
014540,000366: # 4) FLAGS 1
014541,000367:
014542,000368: # JOB PRIORITIES
014543,000369:
014544,000370: # 1) KALCMANU TBD
014545,000371: # 2) ONE SECOND UPDATE TBD
014546,000372:
014547,000373: # SUMMARY OF STATE SWITCHES AND FLAGWORDS USED BY KALCMANU.
014548,000374:
014549,000375: # STATE FLAGWRD 2 SETTING MEANING
014550,000376: # SWITCH NO. BIT NO.
014551,000377:
014552,000378: # *
014553,000379: # 31 14 0 MANEUVER WENT THROUGH GIMBAL LOCK
014554,000380: # 1 MANEUVER DID NOT GO THROUGH GIMBAL LOCK
014555,000381: # *
014556,000382: # 32 13 0 CONTINUE UPDATE PROCESS
014557,000383: # 1 START UPDATE PROCESS
014558,000384:
014559,000385: # 33 12 0 PERFORM FINAL P-AXIS YAW IF REQUIRED
014560,000386: # 1 IGNORE ANY FINAL P-AXIS YAW
014561,000387:
014562,000388: # 34 11 0 SIGNAL END OF KALCMANU
014563,000389: # 1 KALCMANU IN PROCESS USER MUST SET SWITCH BEFORE INITIATING
014564,000390:
014565,000391: # * INTERNAL TO KALCMANU
014566,000392:
014567,000393: # SUGGESTIONS FOR PROGRAM INTEGRATION
014568,000394:
014569,000395: # THE FOLLOWING VARIABLES SHOULD BE ASSIGNED TO UNSWITCH ERASABLE
014570,000396:
014571,000397: # CPHI
014572,000398: # CTHETA
014573,000399: # CPSI
014574,000400: # POINTVSM +5
014575,000401: # SCAXIS +5
014576,000402: # DELDCDU
014577,000403: # DELDCDU1
014578,000404: # DELDCDU2
014579,000405: # RATEINDX
014580,000406:
014581,000407: # THE FOLLOWING SUBROUTINES MAY BE PUT IN A DIFFERENT BANK
014582,000408:
014583,000409: # MXM3
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Page 352 |
014585,000411: # TRANSPOS
014586,000412: # SIGNMPAC
014587,000413: # READCDUK
014588,000414: # CDUTODCM
014589,000415:
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|
Page 353 |
014591,000417: 15,2050 BANK 15
014592,000418: 22,2000 SETLOC KALCMON1
014593,000419: 22,2000 BANK
014594,000420:
014595,000421: 22,2004 E6,1675 EBANK= BCDU
014596,000422:
014597,000423: # THE THREE DESIRED CDU ANGLES MUST BE STORED AS SINGLE PRECISION TWOS COMPLEMENT ANGLES IN THE THREE SUCCESSIVE
014598,000424: # LOCATIONS, CPHI, CTHETA, CPSI.
014599,000425:
014600,000426: 22,2004 COUNT* $$/KALC
014601,000427: 22,2004 06042 KALCMAN3 TC INTPRET # PICK UP THE CURRENT CDU ANGLES AND
014602,000428: 22,2005 77634 RTB # COMPUTE THE MATRIX FROM INITIAL S/C
014603,000429: 22,2006 44403 READCDUK # AXES TO FINAL S/C AXES
014604,000430: 22,2007 03276 STORE BCDU # STORE INITIAL S/C ANGLES
014605,000431: 22,2010 51535 SLOAD ABS # CHECK THE MAGNITUDE OF THE DESIRED
014606,000432: 22,2011 00324 CPSI # MIDDLE GIMBAL ANGLE
014607,000433: 22,2012 51025 DSU BPL
014608,000434: 22,2013 04403 LOCKANGL # IF GREATER THAN 70 DEG ABORT MANEUVER
014609,000435: 22,2014 44724 TOOBADF
014610,000436: 22,2015 72364 AXC,2 TLOAD
014611,000437: 22,2016 03245 MIS
014612,000438: 22,2017 03276 BCDU
014613,000439: 22,2020 77624 CALL # COMPUTE THE TRANSFORMATION FROM INITIAL
014614,000440: 22,2021 44410 CDUTODCM # S/C AXES TO STABLE MEMBER AXES
014615,000441: 22,2022 72364 AXC,2 TLOAD
014616,000442: 22,2023 02230 MFS # PREPARE TO CALCULATE ARRAY MFS
014617,000443: 22,2024 00322 CPHI
014618,000444: 22,2025 77624 CALL
014619,000445: 22,2026 44410 CDUTODCM
014620,000446: 22,2027 45160 SECAD AXC,1 CALL # MIS AND MFS ARRAYS CALCULATED $2
014621,000447: 22,2030 03245 MIS
014622,000448: 22,2031 44326 TRANSPOS
014623,000449: 22,2032 45575 VLOAD STADR
014624,000450: 22,2033 50460 STOVL TMIS +12D
014625,000451: 22,2034 77626 STADR
014626,000452: 22,2035 50466 STOVL TMIS +6
014627,000453: 22,2036 77626 STADR
014628,000454: 22,2037 74474 STORE TMIS # TMIS = TRANSPOSE(MIS) SCALED BY 2
014629,000455: 22,2040 75160 AXC,1 AXC,2
014630,000456: 22,2041 03302 TMIS
014631,000457: 22,2042 02230 MFS
014632,000458: 22,2043 77624 CALL
014633,000459: 22,2044 44312 MXM3
014634,000460: 22,2045 45575 VLOAD STADR
014635,000461: 22,2046 51532 STOVL MFI +12D
014636,000462: 22,2047 77626 STADR
014637,000463: 22,2050 51540 STOVL MFI +6
014638,000464: 22,2051 77626 STADR
014639,000465: 22,2052 75546 STORE MFI # MFI = TMIS MFS (SCALED BY 4)
014640,000466: 22,2053 45001 SETPD CALL # TRANSPOSE MFI IN PD LIST
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|
Page 354 |
014642,000468: 22,2054 00023 18D
014643,000469: 22,2055 44335 TRNSPSPD
014644,000470: 22,2056 45575 VLOAD STADR
014645,000471: 22,2057 50460 STOVL TMFI +12D
014646,000472: 22,2060 77626 STADR
014647,000473: 22,2061 50466 STOVL TMFI +6
014648,000474: 22,2062 77626 STADR
014649,000475: 22,2063 74474 STORE TMFI # TMFI = TRANSPOSE (MFI) SCALED BY 4
014650,000476:
014651,000477: # CALCULATE COFSKEW AND MFISYM
014652,000478:
014653,000479: 22,2064 45345 DLOAD DSU
014654,000480: 22,2065 03305 TMFI +2
014655,000481: 22,2066 02233 MFI +2
014656,000482: 22,2067 45325 PDDL DSU # CALCULATE COF SCALED BY 2/SIN(AM)
014657,000483: 22,2070 02235 MFI +4
014658,000484: 22,2071 03307 TMFI +4
014659,000485: 22,2072 45325 PDDL DSU
014660,000486: 22,2073 03315 TMFI +10D
014661,000487: 22,2074 02243 MFI +10D
014662,000488: 22,2075 77666 VDEF
014663,000489: 22,2076 03325 STORE COFSKEW # EQUALS MFISKEW
014664,000490:
014665,000491: # CALCULATE AM AND PROCEED ACCORDING TO ITS MAGNITUDE
014666,000492:
014667,000493: 22,2077 43345 DLOAD DAD
014668,000494: 22,2100 02231 MFI
014669,000495: 22,2101 02251 MFI +16D
014670,000496: 22,2102 43225 DSU DAD
014671,000497: 22,2103 06514 DP1/4TH
014672,000498: 22,2104 02241 MFI +8D
014673,000499: 22,2105 03333 STORE CAM # CAM = (MFI0+MFI4+MFI8-1)/2 HALF SCALE
014674,000500: 22,2106 77726 ARCCOS
014675,000501: 22,2107 03335 STORE AM # AM=ARCCOS(CAM) (AM SCALED BY 2)
014676,000502: 22,2110 51025 DSU BPL
014677,000503: 22,2111 04363 MINANG
014678,000504: 22,2112 44117 CHECKMAX
014679,000505: 22,2113 77751 TLOAD # MANEUVER LESS THAN .25 DEGREES
014680,000506: 22,2114 00322 CPHI # GO DIRECTLY INTO ATTITUDE HOLD
014681,000507: 22,2115 37235 STCALL CDUXD # ABOUT COMMANDED ANGLES
014682,000508: 22,2116 44742 TOOBADI # STOP RATE AND EXIT
014683,000509:
014684,000510: 22,2117 45345 CHECKMAX DLOAD DSU
014685,000511: 22,2120 03335 AM
014686,000512: 22,2121 04365 MAXANG
014687,000513: 22,2122 77244 BPL VLOAD
014688,000514: 22,2123 44131 ALTCALC # UNIT
014689,000515: 22,2124 03325 COFSKEW # COFSKEW
014690,000516: 22,2125 77656 UNIT
014691,000517: 22,2126 03270 STORE COF # COF IS THE MANEUVER AXIS
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Page 355 |
014693,000519: 22,2127 77650 GOTO # SEE IF MANEUVER GOES THRU GIMBAL LOCK
014694,000520: 22,2130 44744 LOCSKIRT
014695,000521: 22,2131 53375 ALTCALC VLOAD VAD # IF AM GREATER THAN 170 DEGREES
014696,000522: 22,2132 02231 MFI
014697,000523: 22,2133 03303 TMFI
014698,000524: 22,2134 77762 VSR1
014699,000525: 22,2135 27303 STOVL MFISYM
014700,000526: 22,2136 02237 MFI +6
014701,000527: 22,2137 74455 VAD VSR1
014702,000528: 22,2140 03311 TMFI +6
014703,000529: 22,2141 27311 STOVL MFISYM +6
014704,000530: 22,2142 02245 MFI +12D
014705,000531: 22,2143 74455 VAD VSR1
014706,000532: 22,2144 03317 TMFI +12D
014707,000533: 22,2145 03317 STORE MFISYM +12D # MFISYM=(MFI+TMFI)/2 SCALED BY 4
014708,000534:
014709,000535: # CALCULATE COF
014710,000536:
014711,000537: 22,2146 70545 DLOAD SR1
014712,000538: 22,2147 03333 CAM
014713,000539: 22,2150 45325 PDDL DSU # PDO CAM $4
014714,000540: 22,2151 06522 DPHALF
014715,000541: 22,2152 03333 CAM
014716,000542: 22,2153 65204 BOVB PDDL # PD2 1 - CAM $2
014717,000543: 22,2154 21713 SIGNMPAC
014718,000544: 22,2155 03323 MFISYM +16D
014719,000545: 22,2156 56225 DSU DDV
014720,000546: 22,2157 00001 0
014721,000547: 22,2160 00003 2
014722,000548: 22,2161 65366 SQRT PDDL # COFZ = SQRT(MFISYM8-CAM)/1-CAM)
014723,000549: 22,2162 03313 MFISYM +8D # $ ROOT 2
014724,000550: 22,2163 56225 DSU DDV
014725,000551: 22,2164 00001 0
014726,000552: 22,2165 00003 2
014727,000553: 22,2166 65366 SQRT PDDL # COFY = SQRT(MFISYM4-CAM)/(1-CAM) $ROOT2
014728,000554: 22,2167 03303 MFISYM
014729,000555: 22,2170 56225 DSU DDV
014730,000556: 22,2171 00001 0
014731,000557: 22,2172 00003 2
014732,000558: 22,2173 55566 SQRT VDEF # COFX = SQRT(MFISYM-CAM)/(1-CAM) $ROOT 2
014733,000559: 22,2174 77656 UNIT
014734,000560: 22,2175 03270 STORE COF
014735,000561:
014736,000562: # DETERMINE LARGEST COF AND ADJUST ACCORDINGLY
014737,000563:
014738,000564: 22,2176 45345 COFMAXGO DLOAD DSU
014739,000565: 22,2177 03270 COF
014740,000566: 22,2200 03272 COF +2
014741,000567: 22,2201 71240 BMN DLOAD # COFY G COFX
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|
Page 356 |
014743,000569: 22,2202 44211 COMP12
014744,000570: 22,2203 03270 COF
014745,000571: 22,2204 50025 DSU BMN
014746,000572: 22,2205 03274 COF +4
014747,000573: 22,2206 44266 METHOD3 # COFZ G COFX OR COFY
014748,000574: 22,2207 77650 GOTO
014749,000575: 22,2210 44242 METHOD1 # COFX G COFY OR COFZ
014750,000576: 22,2211 45345 COMP12 DLOAD DSU
014751,000577: 22,2212 03272 COF +2
014752,000578: 22,2213 03274 COF +4
014753,000579: 22,2214 77640 BMN
014754,000580: 22,2215 44266 METHOD3 # COFZ G COFY OR COFX
014755,000581:
014756,000582: 22,2216 51145 METHOD2 DLOAD BPL # COFY MAX
014757,000583: 22,2217 03327 COFSKEW +2 # UY
014758,000584: 22,2220 44224 U2POS
014759,000585: 22,2221 57575 VLOAD VCOMP
014760,000586: 22,2222 03270 COF
014761,000587: 22,2223 03270 STORE COF
014762,000588: 22,2224 51145 U2POS DLOAD BPL
014763,000589: 22,2225 03305 MFISYM +2 # UX UY
014764,000590: 22,2226 44232 OKU21
014765,000591: 22,2227 57545 DLOAD DCOMP # SIGN OF UX OPPOSITE TO UY
014766,000592: 22,2230 03270 COF
014767,000593: 22,2231 03270 STORE COF
014768,000594: 22,2232 51145 OKU21 DLOAD BPL
014769,000595: 22,2233 03315 MFISYM +10D # UY UZ
014770,000596: 22,2234 44744 LOCSKIRT
014771,000597: 22,2235 57545 DLOAD DCOMP # SIGN OF UZ OPPOSITE TO UY
014772,000598: 22,2236 03274 COF +4
014773,000599: 22,2237 03274 STORE COF +4
014774,000600: 22,2240 77650 GOTO
014775,000601: 22,2241 44744 LOCSKIRT
014776,000602: 22,2242 51145 METHOD1 DLOAD BPL # COFX MAX
014777,000603: 22,2243 03325 COFSKEW # UX
014778,000604: 22,2244 44250 U1POS
014779,000605: 22,2245 57575 VLOAD VCOMP
014780,000606: 22,2246 03270 COF
014781,000607: 22,2247 03270 STORE COF
014782,000608: 22,2250 51145 U1POS DLOAD BPL
014783,000609: 22,2251 03305 MFISYM +2 # UX UY
014784,000610: 22,2252 44256 OKU12
014785,000611: 22,2253 57545 DLOAD DCOMP
014786,000612: 22,2254 03272 COF +2 # SIGN OF UY OPPOSITE TO UX
014787,000613: 22,2255 03272 STORE COF +2
014788,000614: 22,2256 51145 OKU12 DLOAD BPL
014789,000615: 22,2257 03307 MFISYM +4 # UX UZ
014790,000616: 22,2260 44744 LOCSKIRT
014791,000617: 22,2261 57545 DLOAD DCOMP # SIGN OF UZ OPPOSITE TO UY
014792,000618: 22,2262 03274 COF +4
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Page 357 |
014794,000620: 22,2263 03274 STORE COF +4
014795,000621: 22,2264 77650 GOTO
014796,000622: 22,2265 44744 LOCSKIRT
014797,000623: 22,2266 51145 METHOD3 DLOAD BPL # COFZ MAX
014798,000624: 22,2267 03331 COFSKEW +4 # UZ
014799,000625: 22,2270 44274 U3POS
014800,000626: 22,2271 57575 VLOAD VCOMP
014801,000627: 22,2272 03270 COF
014802,000628: 22,2273 03270 STORE COF
014803,000629: 22,2274 51145 U3POS DLOAD BPL
014804,000630: 22,2275 03307 MFISYM +4 # UX UZ
014805,000631: 22,2276 44302 OKU31
014806,000632: 22,2277 57545 DLOAD DCOMP
014807,000633: 22,2300 03270 COF # SIGN OF UX OPPOSITE TO UZ
014808,000634: 22,2301 03270 STORE COF
014809,000635: 22,2302 51145 OKU31 DLOAD BPL
014810,000636: 22,2303 03315 MFISYM +10D # UY UZ
014811,000637: 22,2304 44744 LOCSKIRT
014812,000638: 22,2305 57545 DLOAD DCOMP
014813,000639: 22,2306 03272 COF +2 # SIGN OF UY OPPOSITE TO UZ
014814,000640: 22,2307 03272 STORE COF +2
014815,000641: 22,2310 77650 GOTO
014816,000642: 22,2311 44744 LOCSKIRT
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|
Page 358 |
014818,000644: # MATRIX OPERATIONS
014819,000645:
014820,000646: 13,2207 BANK 13
014821,000647: 22,2000 SETLOC KALCMON2
014822,000648: 22,2000 BANK
014823,000649:
014824,000650: 22,2312 E6,1675 EBANK= BCDU
014825,000651:
014826,000652: 22,2312 76601 MXM3 SETPD VLOAD* # MXM3 MULTIPLIES 2 3X3 MATRICES
014827,000653: 22,2313 00001 0 # AND LEAVES RESULT IN PD LIST
014828,000654: 22,2314 00001 0,1 # AND MPAC
014829,000655: 22,2315 62703 VXM* PDVL*
014830,000656: 22,2316 77776 0,2
014831,000657: 22,2317 00007 6,1
014832,000658: 22,2320 62703 VXM* PDVL*
014833,000659: 22,2321 77776 0,2
014834,000660: 22,2322 00015 12D,1
014835,000661: 22,2323 41503 VXM* PUSH
014836,000662: 22,2324 77776 0,2
014837,000663: 22,2325 77616 RVQ
014838,000664:
014839,000665: # RETURN WITH M1XM2 IN PD LIST
014840,000666:
014841,000667: 22,2326 76601 TRANSPOS SETPD VLOAD* # TRANSPOS TRANSPOSES A 3X3 MATRIX
014842,000668: 22,2327 00001 0 # AND LEAVES RESULT IN PD LIST
014843,000669: 22,2330 00001 0,1 # MATRIX ADDRESS IN XR1
014844,000670: 22,2331 62713 PDVL* PDVL*
014845,000671: 22,2332 00007 6,1
014846,000672: 22,2333 00015 12D,1
014847,000673: 22,2334 77606 PUSH # MATRIX IN PD
014848,000674: 22,2335 77776 TRNSPSPD EXIT # ENTER WITH MATRIX AT 0 IN PD LIST
014849,000675: 22,2336 50120 INDEX FIXLOC
014850,000676: 22,2337 52013 DXCH 12
014851,000677: 22,2340 50120 INDEX FIXLOC
014852,000678: 22,2341 52017 DXCH 16
014853,000679: 22,2342 50120 INDEX FIXLOC
014854,000680: 22,2343 52013 DXCH 12
014855,000681: 22,2344 50120 INDEX FIXLOC
014856,000682: 22,2345 52015 DXCH 14
014857,000683: 22,2346 50120 INDEX FIXLOC
014858,000684: 22,2347 52005 DXCH 4
014859,000685: 22,2350 50120 INDEX FIXLOC
014860,000686: 22,2351 52015 DXCH 14
014861,000687: 22,2352 50120 INDEX FIXLOC
014862,000688: 22,2353 52003 DXCH 2
014863,000689: 22,2354 50120 INDEX FIXLOC
014864,000690: 22,2355 52007 DXCH 6
014865,000691: 22,2356 50120 INDEX FIXLOC
014866,000692: 22,2357 52003 DXCH 2
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Page 359 |
014868,000694: 22,2360 06042 TC INTPRET
014869,000695: 22,2361 77616 RVQ
014870,000696:
014871,000697: 15,2050 BANK 15
014872,000698: 22,2000 SETLOC KALCMON1
014873,000699: 22,2000 BANK
014874,000700:
014875,000701: 22,2362 E6,1675 EBANK= BCDU
014876,000702:
014877,000703: 22,2362 00013 13563 MINANG 2DEC 0.00069375
014878,000704: 22,2364 17070 34343 MAXANG 2DEC 0.472222222
014879,000705:
014880,000706: # GIMBAL LOCK CONSTANTS
014881,000707:
014882,000708: # D = MGA CORRESPONDING TO GIMBAL LOCK = 60 DEGREES
014883,000709: # NGL = BUFFER ANGLE (TO AVOID DIVISIONS BY ZERO) = 2 DEGREES
014884,000710:
014885,000711: 22,2366 15666 20443 SD 2DEC .433015 # = SIN(D) $2
014886,000712: 22,2370 33555 01106 K3S1 2DEC .86603 # = SIN(D) $1
014887,000713: 22,2372 67777 77777 K4 2DEC -.25 # = -COS(D) $2
014888,000714: 22,2374 04000 00000 K4SQ 2DEC .125 # = COS(D)COS(D) $2
014889,000715: 22,2376 00216 36323 SNGLCD 2DEC .008725 # = SIN(NGL)COS(D) $2
014890,000716: 22,2400 17773 00057 CNGL 2DEC .499695 # COS(NGL) $2
014891,000717: 22,2402 14344 LOCKANGL DEC .388889 # = 70 DEGREES
014892,000718:
014893,000719: # INTERPRETIVE SUBROUTINE TO READ THE CDU ANGLES
014894,000720:
014895,000721: 22,2403 30034 READCDUK CA CDUZ # LOAD T(MPAC) WITH CDU ANGLES
014896,000722: 22,2404 54156 TS MPAC +2
014897,000723: 22,2405 00006 EXTEND
014898,000724: 22,2406 30033 DCA CDUX # AND CHANGE MODE TO TRIPLE PRECISION
014899,000725: 22,2407 16501 TCF TLOAD +6
014900,000726:
014901,000727: 22,2410 66370 CDUTODCM AXT,1 SSP
014902,000728: 22,2411 00003 OCT 3
014903,000729: 22,2412 00051 S1
014904,000730: 22,2413 00001 OCT 1 # SET XR1, S1, AND PD FOR LOOP
014905,000731: 22,2414 00010 STORE 7
014906,000732: 22,2415 77601 SETPD
014907,000733: 22,2416 00001 0
014908,000734: 22,2417 47133 LOOPSIN SLOAD* RTB
014909,000735: 22,2420 00013 10D,1
014910,000736: 22,2421 21577 CDULOGIC
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|
Page 360 |
014912,000738: 22,2422 00013 STORE 10D # LOAD PD WITH 0 SIN(PHI)
014913,000739: 22,2423 65356 SIN PDDL # 2 COS(PHI)
014914,000740: 22,2424 00013 10D # 4 SIN(THETA)
014915,000741: 22,2425 41546 COS PUSH # 6 COS(THETA)
014916,000742: 22,2426 71300 TIX,1 DLOAD # 8 SIN(PSI)
014917,000743: 22,2427 44417 LOOPSIN # 10 COS(PSI)
014918,000744: 22,2430 00007 6
014919,000745: 22,2431 72405 DMP SL1
014920,000746: 22,2432 00013 10D
014921,000747: 22,2433 10001 STORE 0,2 # C0 = COS(THETA)COS(PSI)
014922,000748: 22,2434 41345 DLOAD DMP
014923,000749: 22,2435 00005 4
014924,000750: 22,2436 00001 0
014925,000751: 22,2437 41325 PDDL DMP # (PD6 SIN(THETA)SIN(PHI))
014926,000752: 22,2440 00007 6
014927,000753: 22,2441 00011 8D
014928,000754: 22,2442 72405 DMP SL1
014929,000755: 22,2443 00003 2
014930,000756: 22,2444 72421 BDSU SL1
014931,000757: 22,2445 00015 12D
014932,000758: 22,2446 10003 STORE 2,2 # C1=-COS(THETA)SIN(PSI)COS(PHI)
014933,000759: 22,2447 41345 DLOAD DMP
014934,000760: 22,2450 00003 2
014935,000761: 22,2451 00005 4
014936,000762: 22,2452 41325 PDDL DMP # (PD7 COS(PHI)SIN(THETA)) SCALED 4
014937,000763: 22,2453 00007 6
014938,000764: 22,2454 00011 8D
014939,000765: 22,2455 72405 DMP SL1
014940,000766: 22,2456 00001 0
014941,000767: 22,2457 72415 DAD SL1
014942,000768: 22,2460 00017 14D
014943,000769: 22,2461 10005 STORE 4,2 # C2=COS(THETA)SIN(PSI)SIN(PHI)
014944,000770: 22,2462 77745 DLOAD
014945,000771: 22,2463 00011 8D
014946,000772: 22,2464 10007 STORE 6,2 # C3=SIN(PSI)
014947,000773: 22,2465 77745 DLOAD
014948,000774: 22,2466 00013 10D
014949,000775: 22,2467 72405 DMP SL1
014950,000776: 22,2470 00003 2
014951,000777: 22,2471 10011 STORE 8D,2 # C4=COS(PSI)COS(PHI)
014952,000778: 22,2472 41345 DLOAD DMP
014953,000779: 22,2473 00013 10D
014954,000780: 22,2474 00001 0
014955,000781: 22,2475 72476 DCOMP SL1
014956,000782: 22,2476 10013 STORE 10D,2 # C5=-COS(PSI)SIN(PHI)
014957,000783: 22,2477 41345 DLOAD DMP
014958,000784: 22,2500 00005 4
014959,000785: 22,2501 00013 10D
014960,000786: 22,2502 72476 DCOMP SL1
014961,000787: 22,2503 10015 STORE 12D,2 # C6=-SIN(THETA)COS(PSI)
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Page 361 |
014963,000789: 22,2504 77745 DLOAD
014964,000790: 22,2505 72405 DMP SL1 # (PUSH UP 7)
014965,000791: 22,2506 00011 8D
014966,000792: 22,2507 41325 PDDL DMP # (PD7 COS(PHI)SIN(THETA)SIN(PSI)) SCALE 4
014967,000793: 22,2510 00007 6
014968,000794: 22,2511 00001 0
014969,000795: 22,2512 72415 DAD SL1 # (PUSH UP 7)
014970,000796: 22,2513 77626 STADR # C7=COS(PHI)SIN(THETA)SIN(PSI)
014971,000797: 22,2514 67760 STORE 14D,2 # +COS(THETA)SIN(PHI)
014972,000798: 22,2515 77745 DLOAD
014973,000799: 22,2516 72405 DMP SL1 # (PUSH UP 6)
014974,000800: 22,2517 00011 8D
014975,000801: 22,2520 41325 PDDL DMP # (PD6 SIN(THETA)SIN(PHI)SIN(PSI)) SCALE 4
014976,000802: 22,2521 00007 6
014977,000803: 22,2522 00003 2
014978,000804: 22,2523 72425 DSU SL1 # (PUSH UP 6)
014979,000805: 22,2524 77626 STADR
014980,000806: 22,2525 67756 STORE 16D,2 # C8=-SIN(THETA)SIN(PHI)SIN(PSI)
014981,000807: 22,2526 77616 RVQ # +COS(THETA)COS(PHI)
014982,000808:
014983,000809: # CALCULATION OF THE MATRIX DEL......
014984,000810:
014985,000811: # * * --T *
014986,000812: # DEL = (IDMATRIX)COS(A)+UU (1-COS(A))+UX SIN(A) SCALED 1
014987,000813: # -
014988,000814: # WHERE U IS A UNIT VECTOR (DP SCALED 2) ALONG THE AXIS OF ROTATION.
014989,000815: # A IS THE ANGLE OF ROTATION (DP SCALED 2)
014990,000816: # -
014991,000817: # UPON ENTRY THE STARTING ADDRESS OF U IS COF, AND A IS IN MPAC
014992,000818:
014993,000819: 22,2527 41401 DELCOMP SETPD PUSH # MPAC CONTAINS THE ANGLE A
014994,000820: 22,2530 00001 0
014995,000821: 22,2531 65356 SIN PDDL # PD0 = SIN(A)
014996,000822: 22,2532 41546 COS PUSH # PD2 = COS(A)
014997,000823: 22,2533 65302 SR2 PDDL # PD2 = COS(A) $8
014998,000824: 22,2534 41021 BDSU BOVB
014999,000825: 22,2535 06522 DPHALF
015000,000826: 22,2536 21713 SIGNMPAC
015001,000827: 22,2537 77725 PDDL # PD4 = 1-COS(A)
015002,000828:
015003,000829: # COMPUTE THE DIAGONAL COMPONENTS OF DEL
015004,000830:
015005,000831: 22,2540 03270 COF
015006,000832: 22,2541 41316 DSQ DMP
015007,000833: 22,2542 00005 4
015008,000834: 22,2543 52415 DAD SL3
015009,000835: 22,2544 00003 2
015010,000836: 22,2545 77604 BOVB
015011,000837: 22,2546 21713 SIGNMPAC
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|
Page 362 |
015013,000839: 22,2547 16231 STODL KEL # UX UX(1-COS(A)) +COS(A) $1
015014,000840: 22,2550 03272 COF +2
015015,000841: 22,2551 41316 DSQ DMP
015016,000842: 22,2552 00005 4
015017,000843: 22,2553 52415 DAD SL3
015018,000844: 22,2554 00003 2
015019,000845: 22,2555 77604 BOVB
015020,000846: 22,2556 21713 SIGNMPAC
015021,000847: 22,2557 16241 STODL KEL +8D # UY UY(1-COS(A)) +COS(A) $1
015022,000848: 22,2560 03274 COF +4
015023,000849: 22,2561 41316 DSQ DMP
015024,000850: 22,2562 00005 4
015025,000851: 22,2563 52415 DAD SL3
015026,000852: 22,2564 00003 2
015027,000853: 22,2565 77604 BOVB
015028,000854: 22,2566 21713 SIGNMPAC
015029,000855: 22,2567 02251 STORE KEL +16D # UZ UZ(1-COS(A)) +COS(A) $1
015030,000856:
015031,000857: # COMPUTE THE OFF DIAGONAL TERMS OF DEL
015032,000858:
015033,000859: 22,2570 41345 DLOAD DMP
015034,000860: 22,2571 03270 COF
015035,000861: 22,2572 03272 COF +2
015036,000862: 22,2573 72405 DMP SL1
015037,000863: 22,2574 00005 4
015038,000864: 22,2575 41325 PDDL DMP # D6 UX UY (1-COS A) $4
015039,000865: 22,2576 03274 COF +4
015040,000866: 22,2577 00001 0
015041,000867: 22,2600 43206 PUSH DAD # D8 UZ SIN A $4
015042,000868: 22,2601 00007 6
015043,000869: 22,2602 41112 SL2 BOVB
015044,000870: 22,2603 21713 SIGNMPAC
015045,000871: 22,2604 16237 STODL KEL +6
015046,000872: 22,2605 62421 BDSU SL2
015047,000873: 22,2606 77604 BOVB
015048,000874: 22,2607 21713 SIGNMPAC
015049,000875: 22,2610 16233 STODL KEL +2
015050,000876: 22,2611 03270 COF
015051,000877: 22,2612 41205 DMP DMP
015052,000878: 22,2613 03274 COF +4
015053,000879: 22,2614 00005 4
015054,000880: 22,2615 65352 SL1 PDDL # D6 UX UZ (1-COS A) $4
015055,000881: 22,2616 03272 COF +2
015056,000882: 22,2617 41405 DMP PUSH # D8 UY SIN(A)
015057,000883: 22,2620 00001 0
015058,000884: 22,2621 62415 DAD SL2
015059,000885: 22,2622 00007 6
015060,000886: 22,2623 77604 BOVB
015061,000887: 22,2624 21713 SIGNMPAC
015062,000888: 22,2625 16235 STODL KEL +4 # UX UZ (1-COS(A))+UY SIN(A)
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|
Page 363 |
015064,000890: 22,2626 62421 BDSU SL2
015065,000891: 22,2627 77604 BOVB
015066,000892: 22,2630 21713 SIGNMPAC
015067,000893: 22,2631 16245 STODL KEL +12D # UX UZ (1-COS(A))-UY SIN(A)
015068,000894: 22,2632 03272 COF +2
015069,000895: 22,2633 41205 DMP DMP
015070,000896: 22,2634 03274 COF +4
015071,000897: 22,2635 00005 4
015072,000898: 22,2636 65352 SL1 PDDL # D6 UY UZ (1-COS(A)) $4
015073,000899: 22,2637 03270 COF
015074,000900: 22,2640 41405 DMP PUSH # D8 UX SIN(A)
015075,000901: 22,2641 00001 0
015076,000902: 22,2642 62415 DAD SL2
015077,000903: 22,2643 00007 6
015078,000904: 22,2644 77604 BOVB
015079,000905: 22,2645 21713 SIGNMPAC
015080,000906: 22,2646 16247 STODL KEL +14D # UY UZ(1-COS(A)) +UX SIN(A)
015081,000907: 22,2647 62421 BDSU SL2
015082,000908: 22,2650 77604 BOVB
015083,000909: 22,2651 21713 SIGNMPAC
015084,000910: 22,2652 02243 STORE KEL +10D # UY UZ (1-COS(A)) -UX SIN(A)
015085,000911: 22,2653 77616 RVQ
015086,000912:
015087,000913: # DIRECTION COSINE MATRIX TO CDU ANGLE ROUTINE
015088,000914:
015089,000915: # X1 CONTAINS THE COMPLEMENT OF THE STARTING ADDRESS FOR MATRIX (SCALED 2)
015090,000916: # LEAVES CDU ANGLES SCALED 2PI IN V(MPAC)
015091,000917: # COS(MGA) WILL BE LEFT IN S1 (SCALED 1)
015092,000918: # THE DIRECTION COSINE MATRIX RELATING S/C AXES TO STABLE MEMBER AXES CAN BE WRITTEN AS***
015093,000919:
015094,000920: # C =COS(THETA)COS(PSI)
015095,000921: # 0
015096,000922:
015097,000923: # C =-COS(THETA)SIN(PSI)COS(PHI)+SI (THETA)SIN(PHI)
015098,000924: # 1
015099,000925:
015100,000926: # C =COS(THETA)SIN(PSI)SIN(PHI) + S N(THETA)COS(PHI)
015101,000927: # 2
015102,000928:
015103,000929: # C =SIN(PSI)
015104,000930: # 3
015105,000931:
015106,000932: # C =COS(PSI)COS(PHI)
015107,000933: # 4
015108,000934:
015109,000935: # C =-COS(PSI)SIN(PHI)
015110,000936: # 5
015111,000937:
015112,000938: # C =-SIN(THETA)COS(PSI)
015113,000939: # 6
015114,000940:
015115,000941: # C =SIN(THETA)SIN(PSI)COS(PHI)+COS THETA)SIN(PHI)
015116,000942: # 7
015117,000943:
015118,000944: # C =-SIN(THETA)SIN(PSI)SIN(PHI)+CO (THETA)COS(PHI)
015119,000945: # 8
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|
Page 364 |
015121,000947:
015122,000948: # WHERE PHI = OGA
015123,000949: # THETA = IGA
015124,000950: # PSI = MGA
015125,000951:
015126,000952: 22,2654 67543 DCMTOCDU DLOAD* ARCSIN
015127,000953: 22,2655 00007 6,1
015128,000954: 22,2656 71406 PUSH COS # PD +0 PSI
015129,000955: 22,2657 41152 SL1 BOVB
015130,000956: 22,2660 21713 SIGNMPAC
015131,000957: 22,2661 00051 STORE S1
015132,000958: 22,2662 57543 DLOAD* DCOMP
015133,000959: 22,2663 00015 12D,1
015134,000960: 22,2664 67471 DDV ARCSIN
015135,000961: 22,2665 00051 S1
015136,000962: 22,2666 51123 PDDL* BPL # PD +2 THETA
015137,000963: 22,2667 00001 0,1 # MUST CHECK THE SIGN OF COS(THETA)
015138,000964: 22,2670 44702 OKTHETA # TO DETERMINE THE PROPER QUADRANT
015139,000965: 22,2671 57545 DLOAD DCOMP
015140,000966: 22,2672 43244 BPL DAD
015141,000967: 22,2673 44677 SUHALFA
015142,000968: 22,2674 06522 DPHALF
015143,000969: 22,2675 77650 GOTO
015144,000970: 22,2676 44701 CALCPHI
015145,000971: 22,2677 77625 SUHALFA DSU
015146,000972: 22,2700 06522 DPHALF
015147,000973: 22,2701 77606 CALCPHI PUSH
015148,000974: 22,2702 57543 OKTHETA DLOAD* DCOMP
015149,000975: 22,2703 00013 10D,1
015150,000976: 22,2704 67471 DDV ARCSIN
015151,000977: 22,2705 00051 S1
015152,000978: 22,2706 51123 PDDL* BPL # PUSH DOWN PHI
015153,000979: 22,2707 00011 8D,1
015154,000980: 22,2710 44722 OKPHI
015155,000981: 22,2711 57545 DLOAD DCOMP # PUSH UP PHI
015156,000982: 22,2712 43244 BPL DAD
015157,000983: 22,2713 44717 SUHALFAP
015158,000984: 22,2714 06522 DPHALF
015159,000985: 22,2715 77650 GOTO
015160,000986: 22,2716 44723 VECOFANG
015161,000987: 22,2717 52025 SUHALFAP DSU GOTO
015162,000988: 22,2720 06522 DPHALF
015163,000989: 22,2721 44723 VECOFANG
015164,000990: 22,2722 77745 OKPHI DLOAD # PUSH UP PHI
015165,000991: 22,2723 43466 VECOFANG VDEF RVQ
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Page 365 |
015167,000993: # ROUTINES FOR TERMINATING THE AUTOMATIC MANEUVER AND RETURNING TO USER
015168,000994:
015169,000995: 22,2724 77776 TOOBADF EXIT
015170,000996: 22,2725 05567 TC ALARM
015171,000997: 22,2726 00401 OCT 00401
015172,000998:
015173,000999: 22,2727 12732 TCF NOGO # DO NOT ZERO ATTITUDE ERRORS
015174,001000:
015175,001001: 22,2730 04616 TC BANKCALL
015176,001002: 22,2731 40154 CADR ZATTEROR # ZERO ATTITUDE ERRORS
015177,001003:
015178,001004: 22,2732 04616 NOGO TC BANKCALL
015179,001005: 22,2733 40166 CADR STOPRATE # STOP RATES
015180,001006:
015181,001007: 22,2734 34752 CAF TWO
015182,001008: 22,2735 00004 INHINT # ALL RETURNS ARE NOW MADE VIA GOODEND
015183,001009: 22,2736 05203 TC WAITLIST
015184,001010: 22,2737 E6,1675 EBANK= BCDU
015185,001011: 22,2737 03234 44066 2CADR GOODMANU
015186,001012:
015187,001013: 22,2741 15155 TCF ENDOFJOB
015188,001014:
015189,001015: 22,2742 77776 TOOBADI EXIT
015190,001016: 22,2743 12732 TCF NOGO
015191,001017:
015192,001018:
End of include-file ATTITUDE_MANEUVER_ROUTINE.agc. Parent file is MAIN.agc