Source Code

These source-code files are part of a reconstructed copy of Skylark 048, the Block II Command Module (CM) Apollo Guidance Computer (AGC) software for the Skylab-2, Skylab-3, Skylab-4, and Apollo-Soyuz Test Project missions.

They have been created via disassembly of binary dumps of the original core rope memory modules actually flown on Skylab-2, part numbers 2010802-541, 2010802-551, 2010802-561, 2010802-571, 2010802-581, and 2010802-591. Access to these modules was provided by the New Mexico Museum of Space History, who we are much indebted to.

The source code for the Apollo 15, 16, and 17 software, Artemis 072, was used as a starting point. Heavy use was made of TRW 4900.5-244, Programmed Guidance Equations for Skylark Command Module Earth Orbital Program, dated 14 February 1972. This document contains pseudocode of essentially all of Skylark, using original program labels which have been copied for this source reconstruction.

Since only binary dumps (rather than listings) of Skylark are available as source material, all comments and labels are approximate. They have been taken from the Programmed Guidance Equations or other AGC programs where possible, or, in some places, written from scratch to match what we believe would have been in the original listing.

016998,000002:                                                                                                  ## Copyright:   Public domain.
016999,000003:                                                                                                  ## Filename:    ANGLFIND.agc
017000,000004:                                                                                                  ## Purpose:     A section of Skylark revision 048.
017001,000005:                                                                                                  ##              It is part of the source code for the Apollo Guidance Computer (AGC)
017002,000006:                                                                                                  ##              for Skylab-2, Skylab-3, Skylab-4, and ASTP. No original listings of
017003,000007:                                                                                                  ##              this software are available; instead, this file was created via
017004,000008:                                                                                                  ##              disassembly of dumps of the core rope modules actually flown on
017005,000009:                                                                                                  ##              Skylab-2. Access to these modules was provided by the New Mexico
017006,000010:                                                                                                  ##              Museum of Space History.
017007,000011:                                                                                                  ## Assembler:   yaYUL
017008,000012:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
017009,000013:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
017010,000014:                                                                                                  ## Mod history: 2023-09-04 MAS  Created from Artemis 072.
017011,000015: 
017012,000016: 22,2000                                           SETLOC   KALCMON1                              
017013,000017: 22,2000                                           BANK                                           
017014,000018: 
017015,000019: 22,2000  E6,1712                                  EBANK=   BCDU                                  
017016,000020: 
017017,000021: 22,2000                                           COUNT*   $$/KALC                               
017018,000022: 22,2000           06006        KALCMAN3           TC       INTPRET                               
017019,000023: 22,2001           77634                 +1        RTB                                            
017020,000024: 22,2002           44370                                    READCDUK                              #  PICK UP CURRENT CDU ANGLES
017021,000025: 22,2003           03313                           STORE    BCDU                                  #  STORE THE INITIAL S/C ANGLES
017022,000026: 22,2004           72364                           AXC,2    TLOAD                                 #  COMPUTE THE TRANSFORMATION FROM
017023,000027: 22,2005           02271                                    MIS                                   #  INITIAL S/C AXES TO STABLE MEMBER AXES
017024,000028: 22,2006           03313                                    BCDU                                  #  (MIS)
017025,000029: 22,2007           77624                           CALL                                           
017026,000030: 22,2010           44377                                    CDUTODCM                              
017027,000031: 22,2011           72364                           AXC,2    TLOAD                                 #  COMPUTE THE TRANSFORMATION FROM
017028,000032: 22,2012           03425                                    MFS                                   #  FINAL S/C AXES TO STABLE MEMBER AXES
017029,000033: 22,2013           01300                                    CPHI                                  #  (MFS)
017030,000034: 22,2014           77624                           CALL                                           
017031,000035: 22,2015           44377                                    CDUTODCM                              
017032,000036: 22,2016           45160        SECAD              AXC,1    CALL                                  #  MIS AND MFS ARRAYS CALCULATED         $2
017033,000037: 22,2017           02271                                    MIS                                   
017034,000038: 22,2020           44334                                    TRANSPOS                              
017035,000039: 22,2021           77775                           VLOAD                                          
017036,000040: 22,2022           77626                           STADR                                          
017037,000041: 22,2023           50443                           STOVL    TMIS       +12D                       
017038,000042: 22,2024           77626                           STADR                                          
017039,000043: 22,2025           50451                           STOVL    TMIS       +6                         
017040,000044: 22,2026           77626                           STADR                                          
017041,000045: 22,2027           74457                           STORE    TMIS                                  #  TMIS = TRANSPOSE(MIS) SCALED BY 2
017042,000046: 22,2030           75160                           AXC,1    AXC,2                                 
017043,000047: 22,2031           03317                                    TMIS                                  
017044,000048: 22,2032           03425                                    MFS                                   
017045,000049: 22,2033           77624                           CALL                                           
017046,000050: 22,2034           44304                                    MXM3                                  
017047,000051: 22,2035           45575                           VLOAD    STADR                                 
017048,000052: 22,2036           50335                           STOVL    MFI        +12D                       
017049,000053: 22,2037           77626                           STADR                                          
017050,000054: 22,2040           50343                           STOVL    MFI        +6                         
017051,000055: 22,2041           77626                           STADR                                          
017052,000056: 22,2042           74351                           STORE    MFI                                   #  MFI = TMIS MFS (SCALED BY 4)
017053,000057: 22,2043           45001                           SETPD    CALL                                  #  TRANSPOSE MFI IN PD LIST
017054,000058: 22,2044           00023                                    18D                                   
017055,000059: 22,2045           44343                                    TRNSPSPD                              
017056,000060: 22,2046           45575                           VLOAD    STADR                                 
017057,000061: 22,2047           50443                           STOVL    TMFI       +12D                       
017058,000062: 22,2050           77626                           STADR                                          
017059,000063: 22,2051           50451                           STOVL    TMFI       +6                         
017060,000064: 22,2052           77626                           STADR                                          
017061,000065: 22,2053           74457                           STORE    TMFI                                  #  TMFI = TRANSPOSE (MFI) SCALED BY 4
017062,000066: 
017063,000067:                                                                                                  #  CALCULATE COFSKEW AND MFISYM
017064,000068: 
017065,000069: 22,2054           45345                           DLOAD    DSU                                   
017066,000070: 22,2055           03322                                    TMFI       +2                         
017067,000071: 22,2056           03430                                    MFI        +2                         
017068,000072: 22,2057           45325                           PDDL     DSU                                   #  CALCULATE COF SCALED BY 2/SIN(AM)
017069,000073: 22,2060           03432                                    MFI        +4                         
017070,000074: 22,2061           03324                                    TMFI       +4                         
017071,000075: 22,2062           45325                           PDDL     DSU                                   
017072,000076: 22,2063           03332                                    TMFI       +10D                       
017073,000077: 22,2064           03440                                    MFI        +10D                       
017074,000078: 22,2065           77666                           VDEF                                           
017075,000079: 22,2066           03342                           STORE    COFSKEW                               #  EQUALS MFISKEW
017076,000080: 
017077,000081:                                                                                                  #  CALCULATE AM AND PROCEED ACCORDING TO ITS MAGNITUDE
017078,000082: 
017079,000083: 22,2067           43345                           DLOAD    DAD                                   
017080,000084: 22,2070           03426                                    MFI                                   
017081,000085: 22,2071           03446                                    MFI        +16D                       
017082,000086: 22,2072           43225                           DSU      DAD                                   
017083,000087: 22,2073           15174                                    DP1/4TH                               
017084,000088: 22,2074           03436                                    MFI        +8D                        
017085,000089: 22,2075           03350                           STORE    CAM                                   #  CAM = (MFI0+MFI4+MFI8-1)/2 HALF SCALE
017086,000090: 22,2076           77726                           ARCCOS                                         
017087,000091: 22,2077           03352                           STORE    AM                                    #  AM=ARCCOS(CAM)  (AM SCALED BY 2)
017088,000092: 22,2100           51025                           DSU      BPL                                   
017089,000093: 22,2101           04367                                    MINANG                                
017090,000094: 22,2102           44111                                    CHECKMAX                              
017091,000095: 22,2103           77776                           EXIT                                           #  MANEUVER LESS THAN 0.25 DEG
017092,000096: 22,2104           00004                           INHINT                                         #  GO DIRECTLY INTO ATTITUDE HOLD
017093,000097: 22,2105           45001                           CS       ONE                                   #  ABOUT COMMANDED ANGLES
017094,000098: 22,2106           55330                           TS       HOLDFLAG                              #  NOGO WILL STOP ANY RATE AND SET UP FOR A
017095,000099: 22,2107           03230                           TC       LOADCDUD                              #  GOOD RETURN
017096,000100: 22,2110           12723                           TCF      NOGO                                  
017097,000101: 
017098,000102: 22,2111           45345        CHECKMAX           DLOAD    DSU                                   
017099,000103: 22,2112           03352                                    AM                                    
017100,000104: 22,2113           04370                                    MAXANG                                
017101,000105: 22,2114           77244                           BPL      VLOAD                                 
017102,000106: 22,2115           44123                                    ALTCALC                               #  UNIT
017103,000107: 22,2116           03342                                    COFSKEW                               #  COFSKEW
017104,000108: 22,2117           77656                           UNIT                                           
017105,000109: 22,2120           02314                           STORE    COF                                   #  COF IS THE MANEUVER AXIS
017106,000110: 22,2121           77650                           GOTO                                           #  SEE IF MANEUVER GOES THRU GIMBAL LOCK
017107,000111: 22,2122           44745                                    LOCSKIRT                              
017108,000112: 22,2123           53375        ALTCALC            VLOAD    VAD                                   #  IF AM GREATER THAN 170 DEGREES
017109,000113: 22,2124           03426                                    MFI                                   
017110,000114: 22,2125           03320                                    TMFI                                  
017111,000115: 22,2126           77762                           VSR1                                           
017112,000116: 22,2127           27320                           STOVL    MFISYM                                
017113,000117: 22,2130           03434                                    MFI        +6                         
017114,000118: 22,2131           74455                           VAD      VSR1                                  
017115,000119: 22,2132           03326                                    TMFI       +6                         
017116,000120: 22,2133           27326                           STOVL    MFISYM     +6                         
017117,000121: 22,2134           03442                                    MFI        +12D                       
017118,000122: 22,2135           74455                           VAD      VSR1                                  
017119,000123: 22,2136           03334                                    TMFI       +12D                       
017120,000124: 22,2137           03334                           STORE    MFISYM     +12D                       #  MFISYM=(MFI+TMFI)/2   SCALED BY 4
017121,000125: 
017122,000126: 
017123,000127:                                                                                                  #  CALCULATE COF
017124,000128: 
017125,000129: 22,2140           70545                           DLOAD    SR1                                   
017126,000130: 22,2141           03350                                    CAM                                   
017127,000131: 22,2142           45325                           PDDL     DSU                                   #  PD0 CAM                              $4
017128,000132: 22,2143           15202                                    DPHALF                                
017129,000133: 22,2144           03350                                    CAM                                   
017130,000134: 22,2145           65204                           BOVB     PDDL                                  #  PD2 1 - CAM                          $2
017131,000135: 22,2146           45742                                    SIGNMPAC                              
017132,000136: 22,2147           03340                                    MFISYM     +16D                       
017133,000137: 22,2150           56225                           DSU      DDV                                   
017134,000138: 22,2151           00001                                    0                                     
017135,000139: 22,2152           00003                                    2                                     
017136,000140: 22,2153           65366                           SQRT     PDDL                                  #  COFZ = SQRT(MFISYM8-CAM)/1-CAM)
017137,000141: 22,2154           03330                                    MFISYM     +8D                        #                                 $ ROOT 2
017138,000142: 22,2155           56225                           DSU      DDV                                   
017139,000143: 22,2156           00001                                    0                                     
017140,000144: 22,2157           00003                                    2                                     
017141,000145: 22,2160           65366                           SQRT     PDDL                                  #  COFY = SQRT(MFISYM4-CAM)/(1-CAM)  $ROOT2
017142,000146: 22,2161           03320                                    MFISYM                                
017143,000147: 22,2162           56225                           DSU      DDV                                   
017144,000148: 22,2163           00001                                    0                                     
017145,000149: 22,2164           00003                                    2                                     
017146,000150: 22,2165           55566                           SQRT     VDEF                                  #  COFX = SQRT(MFISYM-CAM)/(1-CAM)  $ROOT 2
017147,000151: 22,2166           77656                           UNIT                                           
017148,000152: 22,2167           02314                           STORE    COF                                   
017149,000153: 
017150,000154:                                                                                                  #  DETERMINE LARGEST COF AND ADJUST ACCORDINGLY
017151,000155: 
017152,000156: 22,2170           45345        COFMAXGO           DLOAD    DSU                                   
017153,000157: 22,2171           02314                                    COF                                   
017154,000158: 22,2172           02316                                    COF        +2                         
017155,000159: 22,2173           71240                           BMN      DLOAD                                 #  COFY G COFX
017156,000160: 22,2174           44203                                    COMP12                                
017157,000161: 22,2175           02314                                    COF                                   
017158,000162: 22,2176           50025                           DSU      BMN                                   
017159,000163: 22,2177           02320                                    COF        +4                         
017160,000164: 22,2200           44260                                    METHOD3                               #  COFZ G COFX OR COFY
017161,000165: 22,2201           77650                           GOTO                                           
017162,000166: 22,2202           44234                                    METHOD1                               #  COFX G COFY OR COFZ
017163,000167: 22,2203           45345        COMP12             DLOAD    DSU                                   
017164,000168: 22,2204           02316                                    COF        +2                         
017165,000169: 22,2205           02320                                    COF        +4                         
017166,000170: 22,2206           77640                           BMN                                            
017167,000171: 22,2207           44260                                    METHOD3                               #  COFZ G COFY OR COFX
017168,000172: 
017169,000173: 22,2210           51145        METHOD2            DLOAD    BPL                                   #  COFY MAX
017170,000174: 22,2211           03344                                    COFSKEW    +2                         #  UY
017171,000175: 22,2212           44216                                    U2POS                                 
017172,000176: 22,2213           57575                           VLOAD    VCOMP                                 
017173,000177: 22,2214           02314                                    COF                                   
017174,000178: 22,2215           02314                           STORE    COF                                   
017175,000179: 22,2216           51145        U2POS              DLOAD    BPL                                   
017176,000180: 22,2217           03322                                    MFISYM     +2                         #  UX UY
017177,000181: 22,2220           44224                                    OKU21                                 
017178,000182: 22,2221           57545                           DLOAD    DCOMP                                 #  SIGN OF UX OPPOSITE TO UY
017179,000183: 22,2222           02314                                    COF                                   
017180,000184: 22,2223           02314                           STORE    COF                                   
017181,000185: 22,2224           51145        OKU21              DLOAD    BPL                                   
017182,000186: 22,2225           03332                                    MFISYM     +10D                       #  UY UZ
017183,000187: 22,2226           44745                                    LOCSKIRT                              
017184,000188: 22,2227           57545                           DLOAD    DCOMP                                 #  SIGN OF UZ OPPOSITE TO UY
017185,000189: 22,2230           02320                                    COF        +4                         
017186,000190: 22,2231           02320                           STORE    COF        +4                         
017187,000191: 22,2232           77650                           GOTO                                           
017188,000192: 22,2233           44745                                    LOCSKIRT                              
017189,000193: 22,2234           51145        METHOD1            DLOAD    BPL                                   #  COFX MAX
017190,000194: 22,2235           03342                                    COFSKEW                               #  UX
017191,000195: 22,2236           44242                                    U1POS                                 
017192,000196: 22,2237           57575                           VLOAD    VCOMP                                 
017193,000197: 22,2240           02314                                    COF                                   
017194,000198: 22,2241           02314                           STORE    COF                                   
017195,000199: 22,2242           51145        U1POS              DLOAD    BPL                                   
017196,000200: 22,2243           03322                                    MFISYM     +2                         #  UX UY
017197,000201: 22,2244           44250                                    OKU12                                 
017198,000202: 22,2245           57545                           DLOAD    DCOMP                                 
017199,000203: 22,2246           02316                                    COF        +2                         #  SIGN OF UY OPPOSITE TO UX
017200,000204: 22,2247           02316                           STORE    COF        +2                         
017201,000205: 22,2250           51145        OKU12              DLOAD    BPL                                   
017202,000206: 22,2251           03324                                    MFISYM     +4                         #  UX UZ
017203,000207: 22,2252           44745                                    LOCSKIRT                              
017204,000208: 22,2253           57545                           DLOAD    DCOMP                                 #  SIGN OF UZ OPPOSITE TO UY
017205,000209: 22,2254           02320                                    COF        +4                         
017206,000210: 22,2255           02320                           STORE    COF        +4                         
017207,000211: 22,2256           77650                           GOTO                                           
017208,000212: 22,2257           44745                                    LOCSKIRT                              
017209,000213: 22,2260           51145        METHOD3            DLOAD    BPL                                   #  COFZ MAX
017210,000214: 22,2261           03346                                    COFSKEW    +4                         #  UZ
017211,000215: 22,2262           44266                                    U3POS                                 
017212,000216: 22,2263           57575                           VLOAD    VCOMP                                 
017213,000217: 22,2264           02314                                    COF                                   
017214,000218: 22,2265           02314                           STORE    COF                                   
017215,000219: 22,2266           51145        U3POS              DLOAD    BPL                                   
017216,000220: 22,2267           03324                                    MFISYM     +4                         #  UX UZ
017217,000221: 22,2270           44274                                    OKU31                                 
017218,000222: 22,2271           57545                           DLOAD    DCOMP                                 
017219,000223: 22,2272           02314                                    COF                                   #  SIGN OF UX OPPOSITE TO UZ
017220,000224: 22,2273           02314                           STORE    COF                                   
017221,000225: 22,2274           51145        OKU31              DLOAD    BPL                                   
017222,000226: 22,2275           03332                                    MFISYM     +10D                       #  UY UZ
017223,000227: 22,2276           44745                                    LOCSKIRT                              
017224,000228: 22,2277           57545                           DLOAD    DCOMP                                 
017225,000229: 22,2300           02316                                    COF        +2                         #  SIGN OF UY OPPOSITE TO UZ
017226,000230: 22,2301           02316                           STORE    COF        +2                         
017227,000231: 22,2302           77650                           GOTO                                           
017228,000232: 22,2303           44745                                    LOCSKIRT                              
017229,000233: 
017230,000234:                                                                                                  #  MATRIX OPERATIONS
017231,000235: 
017232,000236: 22,2304           77601        MXM3               SETPD                                          #  MXM3 MULTIPLIES 2 3X3 MATRICES
017233,000237: 22,2305           00001                                    0                                     #  AND LEAVES RESULT IN PD LIST
017234,000238: 22,2306           64743                           DLOAD*   PDDL*                                 #  ADDRESS OF 1ST MATRIX IN XR1
017235,000239: 22,2307           77762                                    12D,2                                 #  ADDRESS OF 2ND MATRIX IN XR2
017236,000240: 22,2310           77770                                    6,2                                   
017237,000241: 22,2311           55523                           PDDL*    VDEF                                  #  DEFINE VECTOR M2(COL 1)
017238,000242: 22,2312           77776                                    0,2                                   
017239,000243: 22,2313           64717                           MXV*     PDDL*                                 #  M1XM2(COL 1) IN PD
017240,000244: 22,2314           00001                                    0,1                                   
017241,000245: 22,2315           77760                                    14D,2                                 
017242,000246: 22,2316           64723                           PDDL*    PDDL*                                 
017243,000247: 22,2317           77766                                    8D,2                                  
017244,000248: 22,2320           77774                                    2,2                                   
017245,000249: 22,2321           63666                           VDEF     MXV*                                  #  DEFINE VECTOR M2(COL 2)
017246,000250: 22,2322           00001                                    0,1                                   
017247,000251: 22,2323           64723                           PDDL*    PDDL*                                 #  M1XM2(COL2) IN PD
017248,000252: 22,2324           77756                                    16D,2                                 
017249,000253: 22,2325           77764                                    10D,2                                 
017250,000254: 22,2326           55523                           PDDL*    VDEF                                  #  DEFINE VECTOR M2(COL 3)
017251,000255: 22,2327           77772                                    4,2                                   
017252,000256: 22,2330           41517                           MXV*     PUSH                                  #  M1XM2(COL 3) IN PD
017253,000257: 22,2331           00001                                    0,1                                   
017254,000258: 22,2332           77650                           GOTO                                           
017255,000259: 22,2333           44343                                    TRNSPSPD                              #  REVERSE ROWS AND COLS IN PD AND
017256,000260:                                                                                                  #                                        RETURN WITH M1XM2 IN PD LIST
017257,000261: 
017258,000262: 22,2334           76601        TRANSPOS           SETPD    VLOAD*                                #  TRANSPOS TRANSPOSES A 3X3 MATRIX
017259,000263: 22,2335           00001                                    0                                     #   AND LEAVES RESULT IN PD LIST
017260,000264: 22,2336           00001                                    0,1                                   #  MATRIX ADDRESS IN XR1
017261,000265: 22,2337           62713                           PDVL*    PDVL*                                 
017262,000266: 22,2340           00007                                    6,1                                   
017263,000267: 22,2341           00015                                    12D,1                                 
017264,000268: 22,2342           77606                           PUSH                                           #  MATRIX IN PD
017265,000269: 22,2343           65345        TRNSPSPD           DLOAD    PDDL                                  #  ENTER WITH MATRIX IN PD LIST
017266,000270: 22,2344           00003                                    2                                     
017267,000271: 22,2345           00007                                    6                                     
017268,000272: 22,2346           14003                           STODL    2                                     
017269,000273: 22,2347           77626                           STADR                                          
017270,000274: 22,2350           63770                           STODL    6                                     
017271,000275: 22,2351           00005                                    4                                     
017272,000276: 22,2352           77725                           PDDL                                           
017273,000277: 22,2353           00015                                    12D                                   
017274,000278: 22,2354           14005                           STODL    4                                     
017275,000279: 22,2355           77626                           STADR                                          
017276,000280: 22,2356           63762                           STODL    12D                                   
017277,000281: 22,2357           00013                                    10D                                   
017278,000282: 22,2360           77725                           PDDL                                           
017279,000283: 22,2361           00017                                    14D                                   
017280,000284: 22,2362           14013                           STODL    10D                                   
017281,000285: 22,2363           77626                           STADR                                          
017282,000286: 22,2364           77760                           STORE    14D                                   
017283,000287: 22,2365           77616                           RVQ                                            #  RETURN WITH TRANSPOSED MATRIX IN PD LIST
017284,000288: 22,2366           00013        MINANG             DEC      .00069375                             
017285,000289: 22,2367           17071        MAXANG             DEC      .472222                               
017286,000290: 22,2370           00004        READCDUK           INHINT                                         #  LOAD T(MPAC) WITH THE CURRENT CDU ANGLES
017287,000291: 22,2371           30034                           CA       CDUZ                                  
017288,000292: 22,2372           54156                           TS       MPAC       +2                         
017289,000293: 22,2373           00006                           EXTEND                                         
017290,000294: 22,2374           30033                           DCA      CDUX                                  
017291,000295: 22,2375           00003                           RELINT                                         
017292,000296: 22,2376           16445                           TCF      TLOAD      +6                         
017293,000297: 22,2000                                           SETLOC   KALCMON2                              
017294,000298: 22,2000                                           BANK                                           
017295,000299: 
017296,000300: 22,2377                                           COUNT*   $$/KALC                               
017297,000301: 
017298,000302: 22,2377           66370        CDUTODCM           AXT,1    SSP                                   #  SUBROUTINE TO COMPUTE  DIRECTION COSINE
017299,000303: 22,2400           00003                           OCT      3                                     #  MATRIX RELATING S/C AXES TO STABLE
017300,000304: 22,2401           00051                                    S1                                    #  MEMBER AXES FROM 3 CDU ANGLES IN T(MPAC)
017301,000305: 22,2402           00001                           OCT      1                                     #  SET XR1, S1 AND PD FOR LOOP
017302,000306: 22,2403           00010                           STORE    7                                     
017303,000307: 22,2404           77601                           SETPD                                          
017304,000308: 22,2405           00001                                    0                                     
017305,000309: 22,2406           47133        LOOPSIN            SLOAD*   RTB                                   
017306,000310: 22,2407           00013                                    10D,1                                 
017307,000311: 22,2410           45566                                    CDULOGIC                              
017308,000312: 22,2411           00013                           STORE    10D                                   #  LOAD PD WITH 0 SIN(PHI)
017309,000313: 22,2412           65356                           SIN      PDDL                                  #               2 COS(PHI)
017310,000314: 22,2413           00013                                    10D                                   #               4 SIN(THETA)
017311,000315: 22,2414           41546                           COS      PUSH                                  #               6 COS(THETA)
017312,000316: 22,2415           71300                           TIX,1    DLOAD                                 #               8 SIN(PSI)
017313,000317: 22,2416           44406                                    LOOPSIN                               #              10 COS(PSI)
017314,000318: 22,2417           00007                                    6                                     
017315,000319: 22,2420           72405                           DMP      SL1                                   
017316,000320: 22,2421           00013                                    10D                                   
017317,000321: 22,2422           10001                           STORE    0,2                                   
017318,000322: 22,2423           77745                           DLOAD                                          
017319,000323: 22,2424           00005                                    4                                     
017320,000324: 22,2425           65205                           DMP      PDDL                                  
017321,000325: 22,2426           00001                                    0                                     #  (PD6 SIN(THETA)SIN(PHI))
017322,000326: 22,2427           00007                                    6                                     
017323,000327: 22,2430           41205                           DMP      DMP                                   
017324,000328: 22,2431           00011                                    8D                                    
017325,000329: 22,2432           00003                                    2                                     
017326,000330: 22,2433           44352                           SL1      BDSU                                  
017327,000331: 22,2434           00015                                    12D                                   
017328,000332: 22,2435           77752                           SL1                                            
017329,000333: 22,2436           10003                           STORE    2,2                                   
017330,000334: 22,2437           77745                           DLOAD                                          
017331,000335: 22,2440           00003                                    2                                     
017332,000336: 22,2441           65205                           DMP      PDDL                                  #  (PD7 COS(PHI)SIN(THETA)) SCALED 4
017333,000337: 22,2442           00005                                    4                                     
017334,000338: 22,2443           00007                                    6                                     
017335,000339: 22,2444           41205                           DMP      DMP                                   
017336,000340: 22,2445           00011                                    8D                                    
017337,000341: 22,2446           00001                                    0                                     
017338,000342: 22,2447           77752                           SL1                                            
017339,000343: 22,2450           72415                           DAD      SL1                                   
017340,000344: 22,2451           00017                                    14D                                   
017341,000345: 22,2452           10005                           STORE    4,2                                   
017342,000346: 22,2453           77745                           DLOAD                                          
017343,000347: 22,2454           00011                                    8D                                    
017344,000348: 22,2455           10007                           STORE    6,2                                   
017345,000349: 22,2456           77745                           DLOAD                                          
017346,000350: 22,2457           00013                                    10D                                   
017347,000351: 22,2460           72405                           DMP      SL1                                   
017348,000352: 22,2461           00003                                    2                                     
017349,000353: 22,2462           10011                           STORE    8D,2                                  
017350,000354: 22,2463           77745                           DLOAD                                          
017351,000355: 22,2464           00013                                    10D                                   
017352,000356: 22,2465           57405                           DMP      DCOMP                                 
017353,000357: 22,2466           00001                                    0                                     
017354,000358: 22,2467           77752                           SL1                                            
017355,000359: 22,2470           10013                           STORE    10D,2                                 
017356,000360: 22,2471           77745                           DLOAD                                          
017357,000361: 22,2472           00005                                    4                                     
017358,000362: 22,2473           57405                           DMP      DCOMP                                 
017359,000363: 22,2474           00013                                    10D                                   
017360,000364: 22,2475           77752                           SL1                                            
017361,000365: 22,2476           10015                           STORE    12D,2                                 
017362,000366: 22,2477           77745                           DLOAD                                          
017363,000367: 22,2500           72405                           DMP      SL1                                   #  (PUSH UP 7)
017364,000368: 22,2501           00011                                    8D                                    
017365,000369: 22,2502           41325                           PDDL     DMP                                   #  (PD7 COS(PHI)SIN(THETA)SIN(PSI)) SCALE4
017366,000370: 22,2503           00007                                    6                                     
017367,000371: 22,2504           00001                                    0                                     
017368,000372: 22,2505           72415                           DAD      SL1                                   #  (PUSH UP 7)
017369,000373: 22,2506           77626                           STADR                                          #  C7=COS(PHI)SIN(THETA)SIN(PSI)
017370,000374: 22,2507           67760                           STORE    14D,2                                 
017371,000375: 22,2510           77745                           DLOAD                                          
017372,000376: 22,2511           72405                           DMP      SL1                                   #  (PUSH UP 6)
017373,000377: 22,2512           00011                                    8D                                    
017374,000378: 22,2513           41325                           PDDL     DMP                                   #  (PD6 SIN(THETA)SIN(PHI)SIN(PSI)) SCALE4
017375,000379: 22,2514           00007                                    6                                     
017376,000380: 22,2515           00003                                    2                                     
017377,000381: 22,2516           72425                           DSU      SL1                                   #  (PUSH UP 6)
017378,000382: 22,2517           77626                           STADR                                          
017379,000383: 22,2520           67756                           STORE    16D,2                                 #  C8=-SIN(THETA)SIN(PHI)SIN(PSI)
017380,000384: 22,2521           77616                           RVQ                                            #     +COS(THETA)COS(PHI)
017381,000385: 22,2522                        ENDDCM             EQUALS                                         
017382,000386: 
017383,000387: 22,2000                                           SETLOC   KALCMON1                              
017384,000388: 22,2000                                           BANK                                           
017385,000389: 
017386,000390:                                                                                                  #  CALCULATION OF THE MATRIX DEL......
017387,000391: 
017388,000392:                                                                                                  #        *      *               --T           *
017389,000393:                                                                                                  #        DEL = (IDMATRIX)COS(A)+UU (1-COS(A))+UX SIN(A)          SCALED 1
017390,000394: 
017391,000395:                                                                                                  #              -
017392,000396:                                                                                                  #        WHERE U IS A UNIT VECTOR (DP SCALED 2) ALONG THE AXIS OF ROTATION.
017393,000397:                                                                                                  #        A IS THE ANGLE OF ROTATION (DP SCALED 2)
017394,000398:                                                                                                  #                                           -
017395,000399:                                                                                                  #        UPON ENTRY THE STARTING ADDRESS OF U IS COF, AND A IS IN MPAC
017396,000400: 
017397,000401: 22,2522                                           COUNT*   $$/KALC                               
017398,000402: 22,2522           41401        DELCOMP            SETPD    PUSH                                  #  MPAC CONTAINS THE ANGLE A
017399,000403: 22,2523           00001                                    0                                     
017400,000404: 22,2524           65356                           SIN      PDDL                                  #  PD0 = SIN(A)
017401,000405: 22,2525           41546                           COS      PUSH                                  #  PD2 = COS(A)
017402,000406: 22,2526           65302                           SR2      PDDL                                  #  PD2 = COS(A)                          $8
017403,000407: 22,2527           41021                           BDSU     BOVB                                  #  PD4 = 1-COS(A)                        $2
017404,000408: 22,2530           15202                                    DPHALF                                
017405,000409: 22,2531           45742                                    SIGNMPAC                              
017406,000410: 
017407,000411:                                                                                                  #  COMPUTE THE DIAGONAL COMPONENTS OF DEL
017408,000412: 
017409,000413: 22,2532           77725                           PDDL                                           
017410,000414: 22,2533           02314                                    COF                                   
017411,000415: 22,2534           41316                           DSQ      DMP                                   
017412,000416: 22,2535           00005                                    4                                     
017413,000417: 22,2536           52415                           DAD      SL3                                   
017414,000418: 22,2537           00003                                    2                                     
017415,000419: 22,2540           77604                           BOVB                                           
017416,000420: 22,2541           45742                                    SIGNMPAC                              
017417,000421: 22,2542           17426                           STODL    DEL                                   #  UX UX(U-COS(A)) +COS(A)               $1
017418,000422: 22,2543           02316                                    COF        +2                         
017419,000423: 22,2544           41316                           DSQ      DMP                                   
017420,000424: 22,2545           00005                                    4                                     
017421,000425: 22,2546           52415                           DAD      SL3                                   
017422,000426: 22,2547           00003                                    2                                     
017423,000427: 22,2550           77604                           BOVB                                           
017424,000428: 22,2551           45742                                    SIGNMPAC                              
017425,000429: 22,2552           17436                           STODL    DEL        +8D                        #  UY UY(1-COS(A)) +COS(A)               $1
017426,000430: 22,2553           02320                                    COF        +4                         
017427,000431: 22,2554           41316                           DSQ      DMP                                   
017428,000432: 22,2555           00005                                    4                                     
017429,000433: 22,2556           52415                           DAD      SL3                                   
017430,000434: 22,2557           00003                                    2                                     
017431,000435: 22,2560           77604                           BOVB                                           
017432,000436: 22,2561           45742                                    SIGNMPAC                              
017433,000437: 22,2562           03446                           STORE    DEL        +16D                       #  UZ UZ(1-COS(A)) +COS(A)               $1
017434,000438: 
017435,000439:                                                                                                  #  COMPUTE THE OFF DIAGONAL TERMS OF DEL
017436,000440: 
017437,000441: 22,2563           41345                           DLOAD    DMP                                   
017438,000442: 22,2564           02314                                    COF                                   
017439,000443: 22,2565           02316                                    COF        +2                         
017440,000444: 22,2566           72405                           DMP      SL1                                   
017441,000445: 22,2567           00005                                    4                                     
017442,000446: 22,2570           41325                           PDDL     DMP                                   #  D6    UX UY (1-COS A)                 $ 4
017443,000447: 22,2571           02320                                    COF        +4                         
017444,000448: 22,2572           00001                                    0                                     
017445,000449: 22,2573           43206                           PUSH     DAD                                   #  D8    UZ SIN A                        $ 4
017446,000450: 22,2574           00007                                    6                                     
017447,000451: 22,2575           41112                           SL2      BOVB                                  
017448,000452: 22,2576           45742                                    SIGNMPAC                              
017449,000453: 22,2577           17434                           STODL    DEL        +6                         
017450,000454: 22,2600           62421                           BDSU     SL2                                   
017451,000455: 22,2601           77604                           BOVB                                           
017452,000456: 22,2602           45742                                    SIGNMPAC                              
017453,000457: 22,2603           17430                           STODL    DEL        +2                         
017454,000458: 22,2604           02314                                    COF                                   
017455,000459: 22,2605           41205                           DMP      DMP                                   
017456,000460: 22,2606           02320                                    COF        +4                         
017457,000461: 22,2607           00005                                    4                                     
017458,000462: 22,2610           65352                           SL1      PDDL                                  #  D6    UX UZ (1-COS A)                 $ 4
017459,000463: 22,2611           02316                                    COF        +2                         
017460,000464: 22,2612           41405                           DMP      PUSH                                  #  D8    UY SIN(A)
017461,000465: 22,2613           00001                                    0                                     
017462,000466: 22,2614           62415                           DAD      SL2                                   
017463,000467: 22,2615           00007                                    6                                     
017464,000468: 22,2616           77604                           BOVB                                           
017465,000469: 22,2617           45742                                    SIGNMPAC                              
017466,000470: 22,2620           17432                           STODL    DEL        +4                         #  UX UZ (1-COS(A))+UY SIN(A)
017467,000471: 22,2621           62421                           BDSU     SL2                                   
017468,000472: 22,2622           77604                           BOVB                                           
017469,000473: 22,2623           45742                                    SIGNMPAC                              
017470,000474: 22,2624           17442                           STODL    DEL        +12D                       #  UX UZ (U-COS(A))-UY SIN(A)
017471,000475: 22,2625           02316                                    COF        +2                         
017472,000476: 22,2626           41205                           DMP      DMP                                   
017473,000477: 22,2627           02320                                    COF        +4                         
017474,000478: 22,2630           00005                                    4                                     
017475,000479: 22,2631           65352                           SL1      PDDL                                  #  D6    UY UZ (1-COS(A))                $ 4
017476,000480: 22,2632           02314                                    COF                                   
017477,000481: 22,2633           41405                           DMP      PUSH                                  #  D8    UX SIN(A)
017478,000482: 22,2634           00001                                    0                                     
017479,000483: 22,2635           62415                           DAD      SL2                                   
017480,000484: 22,2636           00007                                    6                                     
017481,000485: 22,2637           77604                           BOVB                                           
017482,000486: 22,2640           45742                                    SIGNMPAC                              
017483,000487: 22,2641           17444                           STODL    DEL        +14D                       #  UY UZ(1-COS(A)) +UX SIN(A)
017484,000488: 22,2642           62421                           BDSU     SL2                                   
017485,000489: 22,2643           77604                           BOVB                                           
017486,000490: 22,2644           45742                                    SIGNMPAC                              
017487,000491: 22,2645           03440                           STORE    DEL        +10D                       #  UY UZ(1-COS(A)) -UX SIN(A)
017488,000492: 22,2646           77616                           RVQ                                            
017489,000493: 
017490,000494:                                                                                                  #  DIRECTION COSINE MATRIX TO CDU ANGLE ROUTINE
017491,000495:                                                                                                  #  X1 CONTAINS THE COMPLEMENT OF THE STARTING ADDRESS FOR MATRIX (SCALED 2)
017492,000496:                                                                                                  #  LEAVES CDU ANGLES SCALED 2PI IN V(MPAC)
017493,000497:                                                                                                  #  COS(MGA) WILL BE LEFT IN S1 (SCALED 1)
017494,000498: 
017495,000499:                                                                                                  #  THE DIRECTION COSINE MATRIX RELATING S/C AXES TO STABLE MEMBER AXES CAN BE WRITTEN AS ***
017496,000500: 
017497,000501:                                                                                                  #        C =COS(THETA)COS(PSI)
017498,000502:                                                                                                  #         0
017499,000503:                                                                                                  #        C =-COS(THETA)SIN(PSI)COS(PHI)+SI (THETA)SIN(PHI)
017500,000504:                                                                                                  #         1
017501,000505:                                                                                                  #        C =COS(THETA)SIN(PSI)SIN(PHI) + S N(THETA)COS(PHI)
017502,000506:                                                                                                  #         2
017503,000507:                                                                                                  #        C =SIN(PSI)
017504,000508:                                                                                                  #         3
017505,000509:                                                                                                  #        C =COS(PSI)COS(PHI)
017506,000510:                                                                                                  #         4
017507,000511:                                                                                                  #        C =-COS(PSI)SIN(PHI)
017508,000512:                                                                                                  #         5
017509,000513:                                                                                                  #        C =-SIN(THETA)COS(PSI)
017510,000514:                                                                                                  #         6
017511,000515:                                                                                                  #        C =SIN(THETA)SIN(PSI)COS(PHI)+COS THETA)SIN(PHI)
017512,000516:                                                                                                  #         7
017513,000517:                                                                                                  #        C =-SIN(THETA)SIN(PSI)SIN(PHI)+CO (THETA)COS(PHI)
017514,000518:                                                                                                  #         8
017515,000519: 
017516,000520:                                                                                                  #        WHERE   PHI = OGA
017517,000521:                                                                                                  #                THETA = IGA
017518,000522:                                                                                                  #                PSI = MGA
017519,000523: 
017520,000524: 22,2647           67543        DCMTOCDU           DLOAD*   ARCSIN                                
017521,000525: 22,2650           00007                                    6,1                                   
017522,000526: 22,2651           71406                           PUSH     COS                                   #  PD +0         PSI
017523,000527: 22,2652           41152                           SL1      BOVB                                  
017524,000528: 22,2653           45742                                    SIGNMPAC                              
017525,000529: 22,2654           00051                           STORE    S1                                    
017526,000530: 22,2655           57543                           DLOAD*   DCOMP                                 
017527,000531: 22,2656           00015                                    12D,1                                 
017528,000532: 22,2657           67471                           DDV      ARCSIN                                
017529,000533: 22,2660           00051                                    S1                                    
017530,000534: 22,2661           51123                           PDDL*    BPL                                   #  PD +2         THETA
017531,000535: 22,2662           00001                                    0,1                                   #  MUST CHECK THE SIGN OF COS(THETA)
017532,000536: 22,2663           44675                                    OKTHETA                               #  TO DETERMINE THE PROPER QUADRANT
017533,000537: 22,2664           57545                           DLOAD    DCOMP                                 
017534,000538: 22,2665           43244                           BPL      DAD                                   
017535,000539: 22,2666           44672                                    SUHALFA                               
017536,000540: 22,2667           15202                                    DPHALF                                
017537,000541: 22,2670           77650                           GOTO                                           
017538,000542: 22,2671           44674                                    CALCPHI                               
017539,000543: 22,2672           77625        SUHALFA            DSU                                            
017540,000544: 22,2673           15202                                    DPHALF                                
017541,000545: 22,2674           77606        CALCPHI            PUSH                                           
017542,000546: 22,2675           57543        OKTHETA            DLOAD*   DCOMP                                 
017543,000547: 22,2676           00013                                    10D,1                                 
017544,000548: 22,2677           67471                           DDV      ARCSIN                                
017545,000549: 22,2700           00051                                    S1                                    
017546,000550: 22,2701           51123                           PDDL*    BPL                                   #  PUSH DOWN PHI
017547,000551: 22,2702           00011                                    8D,1                                  
017548,000552: 22,2703           44715                                    OKPHI                                 
017549,000553: 22,2704           57545                           DLOAD    DCOMP                                 #  PUSH UP PHI
017550,000554: 22,2705           43244                           BPL      DAD                                   
017551,000555: 22,2706           44712                                    SUHALFAP                              
017552,000556: 22,2707           15202                                    DPHALF                                
017553,000557: 22,2710           77650                           GOTO                                           
017554,000558: 22,2711           44716                                    VECOFANG                              
017555,000559: 22,2712           52025        SUHALFAP           DSU      GOTO                                  
017556,000560: 22,2713           15202                                    DPHALF                                
017557,000561: 22,2714           44716                                    VECOFANG                              
017558,000562: 22,2715           77745        OKPHI              DLOAD                                          #  PUSH UP PHI
017559,000563: 22,2716           43466        VECOFANG           VDEF     RVQ                                   
017560,000564: 
017561,000565:                                                                                                  #  ROUTINE FOR TERMINATING AUTOMATIC MANEUVERS
017562,000566: 
017563,000567: 22,2717           77776        NOGOM3             EXIT                                           
017564,000568: 22,2720           00004        NOGOM2             INHINT                                         #  THIS LOCATION ACCESSED BY A BZMF NOGO -2
017565,000569: 22,2721           04647                           TC       BANKCALL                              
017566,000570: 22,2722           40211                           CADR     ZEROEROR                              
017567,000571: 
017568,000572: 22,2723           00004        NOGO               INHINT                                         
017569,000573: 22,2724           04463                           TC       STOPRATE                              
017570,000574: 
017571,000575: 22,2725           35000                           CAF      R67BIT                                
017572,000576: 22,2726           70104                           MASK     FLAGWRD8                              
017573,000577: 22,2727           00006                           EXTEND                                         
017574,000578: 22,2730           12740                           BZF      NOTR67ND                              
017575,000579: 
017576,000580: 22,2731           35030                           CAF      1SEC                                  #  WAITLIST TASK IN 1 SECON:
017577,000581: 22,2732           05246                           TC       WAITLIST                              #  RETURN TO UPDTCALL
017578,000582: 22,2733  E6,1712                                  EBANK=   BCDU                                  
017579,000583: 22,2733           02554 74066                     2CADR    R67                                   
017580,000584: 
017581,000585: 22,2735           05415                           TC       PHASCHNG                              
017582,000586: 22,2736           00111                           OCT      00111                                 
017583,000587: 
017584,000588: 22,2737  01,2025               1P11SPT2           =        1.11SPOT                              
017585,000589: 22,2737           05220                           TC       ENDOFJOB                              
017586,000590: 
017587,000591: 22,2740           35000        NOTR67ND           CAF      TWO                                   #  RETURN VIA
017588,000592: 22,2741           05246                           TC       WAITLIST                              #  GOODEND
017589,000593: 22,2742  E6,1712                                  EBANK=   BCDU                                  
017590,000594: 22,2742           02265 20066                     2CADR    ENDMANU                               
017591,000595: 
017592,000596: 22,2744           15220                           TCF      ENDOFJOB                              

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