Source Code

These source-code files were obtained by digitally photographing an Artemis 72 (Apollo 15-17 Command Module) program listing from a private collection and then modifying pre-existing Comanche 55 (Apollo 11) source files to incorporate changes. Photography was by Ron Burkey, and transcription was performed by a team of volunteers. Note that the page images presented online are of reduced quality, and that additional images may be available. Report any conversion errors or legibility problems in page images to info@sandroid.org. Notations on the program listing read, in part:

	GAP: ASSEMBLE REVISION 072 OF AGC PROGRAM ARTEMIS 
	BY NASA 2021114-011 11:40 FEB. 26, 1971
Note that the date is the date of the printout, not the date of the program revision.

017881,000002:                                                                                                  ## Copyright:   Public domain.
017882,000003:                                                                                                  ## Filename:    ANGLFIND.agc
017883,000004:                                                                                                  ## Purpose:     Part of the source code for Artemis (i.e., Colossus 3),
017884,000005:                                                                                                  ##              build 072.  This is for the Command Module's (CM) 
017885,000006:                                                                                                  ##              Apollo Guidance Computer (AGC), for 
017886,000007:                                                                                                  ##              Apollo 15-17.
017887,000008:                                                                                                  ## Assembler:   yaYUL
017888,000009:                                                                                                  ## Contact:     Sergio Navarro <sergionavarrog@gmail.com>
017889,000010:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
017890,000011:                                                                                                  ## Page Scans:  www.ibiblio.org/apollo/ScansForConversion/Artemis072/
017891,000012:                                                                                                  ## Mod history: 2009-08-19 SN   Adapted from corresponding Comanche 055 file.
017892,000013:                                                                                                  ##              2009-09-04 JL   Fixed page number comment. Fixed bad octal number in NOGO. 
017893,000014:                                                                                                  ##                              Fixed typos. Added missing code at end.
017894,000015:                                                                                                  ##              2010-02-20 RSB  Un-##'d this header.
017895,000016:                                                                                                  ##              2017-01-21 RSB  Proofed comment text by diff'ing vs Comanche 55
017896,000017:                                                                                                  ##                              and corrected errors found.
017897,000018:                                                                                                  ##              2021-05-30 ABS  ENDOCM -> ENDDCM
017898,000019: 

Page 403

017900,000021: 22,2000                                           SETLOC   KALCMON1                              
017901,000022: 22,2000                                           BANK                                           
017902,000023: 
017903,000024: 22,2000  E6,1661                                  EBANK=   BCDU                                  
017904,000025: 
017905,000026: 22,2000                                           COUNT*   $$/KALC                               
017906,000027: 22,2000           06006        KALCMAN3           TC       INTPRET                               
017907,000028: 22,2001           77634                 +1        RTB                                            
017908,000029: 22,2002           44370                                    READCDUK                              #  PICK UP CURRENT CDU ANGLES
017909,000030: 22,2003           03262                           STORE    BCDU                                  #  STORE THE INITIAL S/C ANGLES
017910,000031: 22,2004           72364                           AXC,2    TLOAD                                 #  COMPUTE THE TRANSFORMATION FROM
017911,000032: 22,2005           03320                                    MIS                                   #  INITIAL S/C AXES TO STABLE MEMBER AXES
017912,000033: 22,2006           03262                                    BCDU                                  #  (MIS)
017913,000034: 22,2007           77624                           CALL                                           
017914,000035: 22,2010           44377                                    CDUTODCM                              
017915,000036: 22,2011           72364                           AXC,2    TLOAD                                 #  COMPUTE THE TRANSFORMATION FROM
017916,000037: 22,2012           03425                                    MFS                                   #  FINAL S/C AXES TO STABLE MEMBER AXES
017917,000038: 22,2013           01310                                    CPHI                                  #  (MFS)
017918,000039: 22,2014           77624                           CALL                                           
017919,000040: 22,2015           44377                                    CDUTODCM                              
017920,000041: 22,2016           45160        SECAD              AXC,1    CALL                                  #  MIS AND MFS ARRAYS CALCULATED         $2
017921,000042: 22,2017           03320                                    MIS                                   
017922,000043: 22,2020           44334                                    TRANSPOS                              
017923,000044: 22,2021           77775                           VLOAD                                          
017924,000045: 22,2022           77626                           STADR                                          
017925,000046: 22,2023           50474                           STOVL    TMIS       +12D                       
017926,000047: 22,2024           77626                           STADR                                          
017927,000048: 22,2025           50502                           STOVL    TMIS       +6                         
017928,000049: 22,2026           77626                           STADR                                          
017929,000050: 22,2027           74510                           STORE    TMIS                                  #  TMIS = TRANSPOSE(MIS) SCALED BY 2
017930,000051: 22,2030           75160                           AXC,1    AXC,2                                 
017931,000052: 22,2031           03266                                    TMIS                                  
017932,000053: 22,2032           03425                                    MFS                                   
017933,000054: 22,2033           77624                           CALL                                           
017934,000055: 22,2034           44304                                    MXM3                                  
017935,000056: 22,2035           45575                           VLOAD    STADR                                 
017936,000057: 22,2036           50335                           STOVL    MFI        +12D                       
017937,000058: 22,2037           77626                           STADR                                          
017938,000059: 22,2040           50343                           STOVL    MFI        +6                         
017939,000060: 22,2041           77626                           STADR                                          
017940,000061: 22,2042           74351                           STORE    MFI                                   #  MFI = TMIS MFS (SCALED BY 4)
017941,000062: 22,2043           45001                           SETPD    CALL                                  #  TRANSPOSE MFI IN PD LIST
017942,000063: 22,2044           00023                                    18D                                   
017943,000064: 22,2045           44343                                    TRNSPSPD                              
017944,000065: 22,2046           45575                           VLOAD    STADR                                 
017945,000066: 22,2047           50474                           STOVL    TMFI       +12D                       
017946,000067: 22,2050           77626                           STADR                                          
017947,000068: 22,2051           50502                           STOVL    TMFI       +6                         
017948,000069: 22,2052           77626                           STADR                                          
017949,000070: 22,2053           74510                           STORE    TMFI                                  #  TMFI = TRANSPOSE (MFI) SCALED BY 4

Page 404

017951,000072: 
017952,000073:                                                                                                  #  CALCULATE COFSKEW AND MFISYM
017953,000074: 
017954,000075: 22,2054           45345                           DLOAD    DSU                                   
017955,000076: 22,2055           03271                                    TMFI       +2                         
017956,000077: 22,2056           03430                                    MFI        +2                         
017957,000078: 22,2057           45325                           PDDL     DSU                                   #  CALCULATE COF SCALED BY 2/SIN(AM)
017958,000079: 22,2060           03432                                    MFI        +4                         
017959,000080: 22,2061           03273                                    TMFI       +4                         
017960,000081: 22,2062           45325                           PDDL     DSU                                   
017961,000082: 22,2063           03301                                    TMFI       +10D                       
017962,000083: 22,2064           03440                                    MFI        +10D                       
017963,000084: 22,2065           77666                           VDEF                                           
017964,000085: 22,2066           03311                           STORE    COFSKEW                               #  EQUALS MFISKEW
017965,000086: 
017966,000087:                                                                                                  #  CALCULATE AM AND PROCEED ACCORDING TO ITS MAGNITUDE
017967,000088: 
017968,000089: 22,2067           43345                           DLOAD    DAD                                   
017969,000090: 22,2070           03426                                    MFI                                   
017970,000091: 22,2071           03446                                    MFI        +16D                       
017971,000092: 22,2072           43225                           DSU      DAD                                   
017972,000093: 22,2073           15326                                    DP1/4TH                               
017973,000094: 22,2074           03436                                    MFI        +8D                        
017974,000095: 22,2075           03317                           STORE    CAM                                   #  CAM = (MFI0+MFI4+MFI8-1)/2 HALF SCALE
017975,000096: 22,2076           77726                           ARCCOS                                         
017976,000097: 22,2077           03365                           STORE    AM                                    #  AM=ARCCOS(CAM)  (AM SCALED BY 2)
017977,000098: 22,2100           51025                           DSU      BPL                                   
017978,000099: 22,2101           04367                                    MINANG                                
017979,000100: 22,2102           44111                                    CHECKMAX                              
017980,000101: 22,2103           77776                           EXIT                                           #  MANEUVER LESS THAN 0.25 DEG
017981,000102: 22,2104           00004                           INHINT                                         #  GO DIRECTLY INTO ATTITUDE HOLD
017982,000103: 22,2105           44770                           CS       ONE                                   #  ABOUT COMMANDED ANGLES
017983,000104: 22,2106           55340                           TS       HOLDFLAG                              #  NOGO WILL STOP ANY RATE AND SET UP FOR A
017984,000105: 22,2107           03163                           TC       LOADCDUD                              #  GOOD RETURN
017985,000106: 22,2110           12723                           TCF      NOGO                                  
017986,000107: 
017987,000108: 22,2111           45345        CHECKMAX           DLOAD    DSU                                   
017988,000109: 22,2112           03365                                    AM                                    
017989,000110: 22,2113           04370                                    MAXANG                                
017990,000111: 22,2114           77244                           BPL      VLOAD                                 
017991,000112: 22,2115           44123                                    ALTCALC                               #  UNIT
017992,000113: 22,2116           03311                                    COFSKEW                               #  COFSKEW
017993,000114: 22,2117           77656                           UNIT                                           
017994,000115: 22,2120           03343                           STORE    COF                                   #  COF IS THE MANEUVER AXIS
017995,000116: 22,2121           77650                           GOTO                                           #  SEE IF MANEUVER GOES THRU GIMBAL LOCK
017996,000117: 22,2122           44745                                    LOCSKIRT                              
017997,000118: 22,2123           53375        ALTCALC            VLOAD    VAD                                   #  IF AM GREATER THAN 170 DEGREES
017998,000119: 22,2124           03426                                    MFI                                   
017999,000120: 22,2125           03267                                    TMFI                                  
018000,000121: 22,2126           77762                           VSR1                                           

Page 405

018002,000123: 22,2127           27267                           STOVL    MFISYM                                
018003,000124: 22,2130           03434                                    MFI        +6                         
018004,000125: 22,2131           74455                           VAD      VSR1                                  
018005,000126: 22,2132           03275                                    TMFI       +6                         
018006,000127: 22,2133           27275                           STOVL    MFISYM     +6                         
018007,000128: 22,2134           03442                                    MFI        +12D                       
018008,000129: 22,2135           74455                           VAD      VSR1                                  
018009,000130: 22,2136           03303                                    TMFI       +12D                       
018010,000131: 22,2137           03303                           STORE    MFISYM     +12D                       #  MFISYM=(MFI+TMFI)/2   SCALED BY 4
018011,000132: 
018012,000133: 
018013,000134:                                                                                                  #  CALCULATE COF
018014,000135: 
018015,000136: 22,2140           70545                           DLOAD    SR1                                   
018016,000137: 22,2141           03317                                    CAM                                   
018017,000138: 22,2142           45325                           PDDL     DSU                                   #  PD0 CAM                              $4
018018,000139: 22,2143           15334                                    DPHALF                                
018019,000140: 22,2144           03317                                    CAM                                   
018020,000141: 22,2145           65204                           BOVB     PDDL                                  #  PD2 1 - CAM                          $2
018021,000142: 22,2146           45761                                    SIGNMPAC                              
018022,000143: 22,2147           03307                                    MFISYM     +16D                       
018023,000144: 22,2150           56225                           DSU      DDV                                   
018024,000145: 22,2151           00001                                    0                                     
018025,000146: 22,2152           00003                                    2                                     
018026,000147: 22,2153           65366                           SQRT     PDDL                                  #  COFZ = SQRT(MFISYM8-CAM)/1-CAM)
018027,000148: 22,2154           03277                                    MFISYM     +8D                        #                                 $ ROOT 2
018028,000149: 22,2155           56225                           DSU      DDV                                   
018029,000150: 22,2156           00001                                    0                                     
018030,000151: 22,2157           00003                                    2                                     
018031,000152: 22,2160           65366                           SQRT     PDDL                                  #  COFY = SQRT(MFISYM4-CAM)/(1-CAM)  $ROOT2
018032,000153: 22,2161           03267                                    MFISYM                                
018033,000154: 22,2162           56225                           DSU      DDV                                   
018034,000155: 22,2163           00001                                    0                                     
018035,000156: 22,2164           00003                                    2                                     
018036,000157: 22,2165           55566                           SQRT     VDEF                                  #  COFX = SQRT(MFISYM-CAM)/(1-CAM)  $ROOT 2
018037,000158: 22,2166           77656                           UNIT                                           
018038,000159: 22,2167           03343                           STORE    COF                                   
018039,000160: 
018040,000161:                                                                                                  #  DETERMINE LARGEST COF AND ADJUST ACCORDINGLY
018041,000162: 
018042,000163: 22,2170           45345        COFMAXGO           DLOAD    DSU                                   
018043,000164: 22,2171           03343                                    COF                                   
018044,000165: 22,2172           03345                                    COF        +2                         
018045,000166: 22,2173           71240                           BMN      DLOAD                                 #  COFY G COFX
018046,000167: 22,2174           44203                                    COMP12                                
018047,000168: 22,2175           03343                                    COF                                   
018048,000169: 22,2176           50025                           DSU      BMN                                   
018049,000170: 22,2177           03347                                    COF        +4                         
018050,000171: 22,2200           44260                                    METHOD3                               #  COFZ G COFX OR COFY
018051,000172: 22,2201           77650                           GOTO                                           

Page 406

018053,000174: 22,2202           44234                                    METHOD1                               #  COFX G COFY OR COFZ
018054,000175: 22,2203           45345        COMP12             DLOAD    DSU                                   
018055,000176: 22,2204           03345                                    COF        +2                         
018056,000177: 22,2205           03347                                    COF        +4                         
018057,000178: 22,2206           77640                           BMN                                            
018058,000179: 22,2207           44260                                    METHOD3                               #  COFZ G COFY OR COFX
018059,000180: 
018060,000181: 22,2210           51145        METHOD2            DLOAD    BPL                                   #  COFY MAX
018061,000182: 22,2211           03313                                    COFSKEW    +2                         #  UY
018062,000183: 22,2212           44216                                    U2POS                                 
018063,000184: 22,2213           57575                           VLOAD    VCOMP                                 
018064,000185: 22,2214           03343                                    COF                                   
018065,000186: 22,2215           03343                           STORE    COF                                   
018066,000187: 22,2216           51145        U2POS              DLOAD    BPL                                   
018067,000188: 22,2217           03271                                    MFISYM     +2                         #  UX UY
018068,000189: 22,2220           44224                                    OKU21                                 
018069,000190: 22,2221           57545                           DLOAD    DCOMP                                 #  SIGN OF UX OPPOSITE TO UY
018070,000191: 22,2222           03343                                    COF                                   
018071,000192: 22,2223           03343                           STORE    COF                                   
018072,000193: 22,2224           51145        OKU21              DLOAD    BPL                                   
018073,000194: 22,2225           03301                                    MFISYM     +10D                       #  UY UZ
018074,000195: 22,2226           44745                                    LOCSKIRT                              
018075,000196: 22,2227           57545                           DLOAD    DCOMP                                 #  SIGN OF UZ OPPOSITE TO UY
018076,000197: 22,2230           03347                                    COF        +4                         
018077,000198: 22,2231           03347                           STORE    COF        +4                         
018078,000199: 22,2232           77650                           GOTO                                           
018079,000200: 22,2233           44745                                    LOCSKIRT                              
018080,000201: 22,2234           51145        METHOD1            DLOAD    BPL                                   #  COFX MAX
018081,000202: 22,2235           03311                                    COFSKEW                               #  UX
018082,000203: 22,2236           44242                                    U1POS                                 
018083,000204: 22,2237           57575                           VLOAD    VCOMP                                 
018084,000205: 22,2240           03343                                    COF                                   
018085,000206: 22,2241           03343                           STORE    COF                                   
018086,000207: 22,2242           51145        U1POS              DLOAD    BPL                                   
018087,000208: 22,2243           03271                                    MFISYM     +2                         #  UX UY
018088,000209: 22,2244           44250                                    OKU12                                 
018089,000210: 22,2245           57545                           DLOAD    DCOMP                                 
018090,000211: 22,2246           03345                                    COF        +2                         #  SIGN OF UY OPPOSITE TO UX
018091,000212: 22,2247           03345                           STORE    COF        +2                         
018092,000213: 22,2250           51145        OKU12              DLOAD    BPL                                   
018093,000214: 22,2251           03273                                    MFISYM     +4                         #  UX UZ
018094,000215: 22,2252           44745                                    LOCSKIRT                              
018095,000216: 22,2253           57545                           DLOAD    DCOMP                                 #  SIGN OF UZ OPPOSITE TO UY
018096,000217: 22,2254           03347                                    COF        +4                         
018097,000218: 22,2255           03347                           STORE    COF        +4                         
018098,000219: 22,2256           77650                           GOTO                                           
018099,000220: 22,2257           44745                                    LOCSKIRT                              
018100,000221: 22,2260           51145        METHOD3            DLOAD    BPL                                   #  COFZ MAX
018101,000222: 22,2261           03315                                    COFSKEW    +4                         #  UZ
018102,000223: 22,2262           44266                                    U3POS                                 

Page 407

018104,000225: 22,2263           57575                           VLOAD    VCOMP                                 
018105,000226: 22,2264           03343                                    COF                                   
018106,000227: 22,2265           03343                           STORE    COF                                   
018107,000228: 22,2266           51145        U3POS              DLOAD    BPL                                   
018108,000229: 22,2267           03273                                    MFISYM     +4                         #  UX UZ
018109,000230: 22,2270           44274                                    OKU31                                 
018110,000231: 22,2271           57545                           DLOAD    DCOMP                                 
018111,000232: 22,2272           03343                                    COF                                   #  SIGN OF UX OPPOSITE TO UZ
018112,000233: 22,2273           03343                           STORE    COF                                   
018113,000234: 22,2274           51145        OKU31              DLOAD    BPL                                   
018114,000235: 22,2275           03301                                    MFISYM     +10D                       #  UY UZ
018115,000236: 22,2276           44745                                    LOCSKIRT                              
018116,000237: 22,2277           57545                           DLOAD    DCOMP                                 
018117,000238: 22,2300           03345                                    COF        +2                         #  SIGN OF UY OPPOSITE TO UZ
018118,000239: 22,2301           03345                           STORE    COF        +2                         
018119,000240: 22,2302           77650                           GOTO                                           
018120,000241: 22,2303           44745                                    LOCSKIRT                              
018121,000242: 

Page 408

018123,000244:                                                                                                  #  MATRIX OPERATIONS
018124,000245: 
018125,000246: 22,2304           77601        MXM3               SETPD                                          #  MXM3 MULTIPLIES 2 3X3 MATRICES
018126,000247: 22,2305           00001                                    0                                     #  AND LEAVES RESULT IN PD LIST
018127,000248: 22,2306           64743                           DLOAD*   PDDL*                                 #  ADDRESS OF 1ST MATRIX IN XR1
018128,000249: 22,2307           77762                                    12D,2                                 #  ADDRESS OF 2ND MATRIX IN XR2
018129,000250: 22,2310           77770                                    6,2                                   
018130,000251: 22,2311           55523                           PDDL*    VDEF                                  #  DEFINE VECTOR M2(COL 1)
018131,000252: 22,2312           77776                                    0,2                                   
018132,000253: 22,2313           64717                           MXV*     PDDL*                                 #  M1XM2(COL 1) IN PD
018133,000254: 22,2314           00001                                    0,1                                   
018134,000255: 22,2315           77760                                    14D,2                                 
018135,000256: 22,2316           64723                           PDDL*    PDDL*                                 
018136,000257: 22,2317           77766                                    8D,2                                  
018137,000258: 22,2320           77774                                    2,2                                   
018138,000259: 22,2321           63666                           VDEF     MXV*                                  #  DEFINE VECTOR M2(COL 2)
018139,000260: 22,2322           00001                                    0,1                                   
018140,000261: 22,2323           64723                           PDDL*    PDDL*                                 #  M1XM2(COL2) IN PD
018141,000262: 22,2324           77756                                    16D,2                                 
018142,000263: 22,2325           77764                                    10D,2                                 
018143,000264: 22,2326           55523                           PDDL*    VDEF                                  #  DEFINE VECTOR M2(COL 3)
018144,000265: 22,2327           77772                                    4,2                                   
018145,000266: 22,2330           41517                           MXV*     PUSH                                  #  M1XM2(COL 3) IN PD
018146,000267: 22,2331           00001                                    0,1                                   
018147,000268: 22,2332           77650                           GOTO                                           
018148,000269: 22,2333           44343                                    TRNSPSPD                              #  REVERSE ROWS AND COLS IN PD AND
018149,000270:                                                                                                  #                                        RETURN WITH M1XM2 IN PD LIST
018150,000271: 
018151,000272: 22,2334           76601        TRANSPOS           SETPD    VLOAD*                                #  TRANSPOS TRANSPOSES A 3X3 MATRIX
018152,000273: 22,2335           00001                                    0                                     #   AND LEAVES RESULT IN PD LIST
018153,000274: 22,2336           00001                                    0,1                                   #  MATRIX ADDRESS IN XR1
018154,000275: 22,2337           62713                           PDVL*    PDVL*                                 
018155,000276: 22,2340           00007                                    6,1                                   
018156,000277: 22,2341           00015                                    12D,1                                 
018157,000278: 22,2342           77606                           PUSH                                           #  MATRIX IN PD
018158,000279: 22,2343           65345        TRNSPSPD           DLOAD    PDDL                                  #  ENTER WITH MATRIX IN PD LIST
018159,000280: 22,2344           00003                                    2                                     
018160,000281: 22,2345           00007                                    6                                     
018161,000282: 22,2346           14003                           STODL    2                                     
018162,000283: 22,2347           77626                           STADR                                          
018163,000284: 22,2350           63770                           STODL    6                                     
018164,000285: 22,2351           00005                                    4                                     
018165,000286: 22,2352           77725                           PDDL                                           
018166,000287: 22,2353           00015                                    12D                                   
018167,000288: 22,2354           14005                           STODL    4                                     
018168,000289: 22,2355           77626                           STADR                                          
018169,000290: 22,2356           63762                           STODL    12D                                   
018170,000291: 22,2357           00013                                    10D                                   
018171,000292: 22,2360           77725                           PDDL                                           

Page 409

018173,000294: 22,2361           00017                                    14D                                   
018174,000295: 22,2362           14013                           STODL    10D                                   
018175,000296: 22,2363           77626                           STADR                                          
018176,000297: 22,2364           77760                           STORE    14D                                   
018177,000298: 22,2365           77616                           RVQ                                            #  RETURN WITH TRANSPOSED MATRIX IN PD LIST
018178,000299: 22,2366           00013        MINANG             DEC      .00069375                             
018179,000300: 22,2367           17071        MAXANG             DEC      .472222                               
018180,000301: 22,2370           00004        READCDUK           INHINT                                         #  LOAD T(MPAC) WITH THE CURRENT CDU ANGLES
018181,000302: 22,2371           30034                           CA       CDUZ                                  
018182,000303: 22,2372           54156                           TS       MPAC       +2                         
018183,000304: 22,2373           00006                           EXTEND                                         
018184,000305: 22,2374           30033                           DCA      CDUX                                  
018185,000306: 22,2375           00003                           RELINT                                         
018186,000307: 22,2376           16445                           TCF      TLOAD      +6                         
018187,000308: 22,2000                                           SETLOC   KALCMON2                              
018188,000309: 22,2000                                           BANK                                           
018189,000310: 
018190,000311: 22,2377                                           COUNT*   $$/KALC                               
018191,000312: 
018192,000313: 22,2377           66370        CDUTODCM           AXT,1    SSP                                   #  SUBROUTINE TO COMPUTE  DIRECTION COSINE
018193,000314: 22,2400           00003                           OCT      3                                     #  MATRIX RELATING S/C AXES TO STABLE
018194,000315: 22,2401           00051                                    S1                                    #  MEMBER AXES FROM 3 CDU ANGLES IN T(MPAC)
018195,000316: 22,2402           00001                           OCT      1                                     #  SET XR1, S1 AND PD FOR LOOP
018196,000317: 22,2403           00010                           STORE    7                                     
018197,000318: 22,2404           77601                           SETPD                                          
018198,000319: 22,2405           00001                                    0                                     
018199,000320: 22,2406           47133        LOOPSIN            SLOAD*   RTB                                   
018200,000321: 22,2407           00013                                    10D,1                                 
018201,000322: 22,2410           51754                                    CDULOGIC                              
018202,000323: 22,2411           00013                           STORE    10D                                   #  LOAD PD WITH 0 SIN(PHI)
018203,000324: 22,2412           65356                           SIN      PDDL                                  #               2 COS(PHI)
018204,000325: 22,2413           00013                                    10D                                   #               4 SIN(THETA)
018205,000326: 22,2414           41546                           COS      PUSH                                  #               6 COS(THETA)
018206,000327: 22,2415           71300                           TIX,1    DLOAD                                 #               8 SIN(PSI)
018207,000328: 22,2416           44406                                    LOOPSIN                               #              10 COS(PSI)
018208,000329: 22,2417           00007                                    6                                     
018209,000330: 22,2420           72405                           DMP      SL1                                   
018210,000331: 22,2421           00013                                    10D                                   
018211,000332: 22,2422           10001                           STORE    0,2                                   
018212,000333: 22,2423           77745                           DLOAD                                          
018213,000334: 22,2424           00005                                    4                                     
018214,000335: 22,2425           65205                           DMP      PDDL                                  
018215,000336: 22,2426           00001                                    0                                     #  (PD6 SIN(THETA)SIN(PHI))
018216,000337: 22,2427           00007                                    6                                     
018217,000338: 22,2430           41205                           DMP      DMP                                   
018218,000339: 22,2431           00011                                    8D                                    
018219,000340: 22,2432           00003                                    2                                     
018220,000341: 22,2433           44352                           SL1      BDSU                                  
018221,000342: 22,2434           00015                                    12D                                   
018222,000343: 22,2435           77752                           SL1                                            

Page 410

018224,000345: 22,2436           10003                           STORE    2,2                                   
018225,000346: 22,2437           77745                           DLOAD                                          
018226,000347: 22,2440           00003                                    2                                     
018227,000348: 22,2441           65205                           DMP      PDDL                                  #  (PD7 COS(PHI)SIN(THETA)) SCALED 4
018228,000349: 22,2442           00005                                    4                                     
018229,000350: 22,2443           00007                                    6                                     
018230,000351: 22,2444           41205                           DMP      DMP                                   
018231,000352: 22,2445           00011                                    8D                                    
018232,000353: 22,2446           00001                                    0                                     
018233,000354: 22,2447           77752                           SL1                                            
018234,000355: 22,2450           72415                           DAD      SL1                                   
018235,000356: 22,2451           00017                                    14D                                   
018236,000357: 22,2452           10005                           STORE    4,2                                   
018237,000358: 22,2453           77745                           DLOAD                                          
018238,000359: 22,2454           00011                                    8D                                    
018239,000360: 22,2455           10007                           STORE    6,2                                   
018240,000361: 22,2456           77745                           DLOAD                                          
018241,000362: 22,2457           00013                                    10D                                   
018242,000363: 22,2460           72405                           DMP      SL1                                   
018243,000364: 22,2461           00003                                    2                                     
018244,000365: 22,2462           10011                           STORE    8D,2                                  
018245,000366: 22,2463           77745                           DLOAD                                          
018246,000367: 22,2464           00013                                    10D                                   
018247,000368: 22,2465           57405                           DMP      DCOMP                                 
018248,000369: 22,2466           00001                                    0                                     
018249,000370: 22,2467           77752                           SL1                                            
018250,000371: 22,2470           10013                           STORE    10D,2                                 
018251,000372: 22,2471           77745                           DLOAD                                          
018252,000373: 22,2472           00005                                    4                                     
018253,000374: 22,2473           57405                           DMP      DCOMP                                 
018254,000375: 22,2474           00013                                    10D                                   
018255,000376: 22,2475           77752                           SL1                                            
018256,000377: 22,2476           10015                           STORE    12D,2                                 
018257,000378: 22,2477           77745                           DLOAD                                          
018258,000379: 22,2500           72405                           DMP      SL1                                   #  (PUSH UP 7)
018259,000380: 22,2501           00011                                    8D                                    
018260,000381: 22,2502           41325                           PDDL     DMP                                   #  (PD7 COS(PHI)SIN(THETA)SIN(PSI)) SCALE4
018261,000382: 22,2503           00007                                    6                                     
018262,000383: 22,2504           00001                                    0                                     
018263,000384: 22,2505           72415                           DAD      SL1                                   #  (PUSH UP 7)
018264,000385: 22,2506           77626                           STADR                                          #  C7=COS(PHI)SIN(THETA)SIN(PSI)
018265,000386: 22,2507           67760                           STORE    14D,2                                 
018266,000387: 22,2510           77745                           DLOAD                                          
018267,000388: 22,2511           72405                           DMP      SL1                                   #  (PUSH UP 6)
018268,000389: 22,2512           00011                                    8D                                    
018269,000390: 22,2513           41325                           PDDL     DMP                                   #  (PD6 SIN(THETA)SIN(PHI)SIN(PSI)) SCALE4
018270,000391: 22,2514           00007                                    6                                     
018271,000392: 22,2515           00003                                    2                                     
018272,000393: 22,2516           72425                           DSU      SL1                                   #  (PUSH UP 6)
018273,000394: 22,2517           77626                           STADR                                          

Page 411

018275,000396: 22,2520           67756                           STORE    16D,2                                 #  C8=-SIN(THETA)SIN(PHI)SIN(PSI)
018276,000397: 22,2521           77616                           RVQ                                            #     +COS(THETA)COS(PHI)
018277,000398: 22,2522                        ENDDCM             EQUALS                                         
018278,000399: 
018279,000400: 22,2000                                           SETLOC   KALCMON1                              
018280,000401: 22,2000                                           BANK                                           
018281,000402: 
018282,000403:                                                                                                  #  CALCULATION OF THE MATRIX DEL......
018283,000404: 
018284,000405:                                                                                                  #        *      *               --T           *
018285,000406:                                                                                                  #        DEL = (IDMATRIX)COS(A)+UU (1-COS(A))+UX SIN(A)          SCALED 1
018286,000407: 
018287,000408:                                                                                                  #              -
018288,000409:                                                                                                  #        WHERE U IS A UNIT VECTOR (DP SCALED 2) ALONG THE AXIS OF ROTATION.
018289,000410:                                                                                                  #        A IS THE ANGLE OF ROTATION (DP SCALED 2)
018290,000411:                                                                                                  #                                           -
018291,000412:                                                                                                  #        UPON ENTRY THE STARTING ADDRESS OF U IS COF, AND A IS IN MPAC
018292,000413: 
018293,000414: 22,2522                                           COUNT*   $$/KALC                               
018294,000415: 22,2522           41401        DELCOMP            SETPD    PUSH                                  #  MPAC CONTAINS THE ANGLE A
018295,000416: 22,2523           00001                                    0                                     
018296,000417: 22,2524           65356                           SIN      PDDL                                  #  PD0 = SIN(A)
018297,000418: 22,2525           41546                           COS      PUSH                                  #  PD2 = COS(A)
018298,000419: 22,2526           65302                           SR2      PDDL                                  #  PD2 = COS(A)                          $8
018299,000420: 22,2527           41021                           BDSU     BOVB                                  #  PD4 = 1-COS(A)                        $2
018300,000421: 22,2530           15334                                    DPHALF                                
018301,000422: 22,2531           45761                                    SIGNMPAC                              
018302,000423: 
018303,000424:                                                                                                  #  COMPUTE THE DIAGONAL COMPONENTS OF DEL
018304,000425: 
018305,000426: 22,2532           77725                           PDDL                                           
018306,000427: 22,2533           03343                                    COF                                   
018307,000428: 22,2534           41316                           DSQ      DMP                                   
018308,000429: 22,2535           00005                                    4                                     
018309,000430: 22,2536           52415                           DAD      SL3                                   
018310,000431: 22,2537           00003                                    2                                     
018311,000432: 22,2540           77604                           BOVB                                           
018312,000433: 22,2541           45761                                    SIGNMPAC                              
018313,000434: 22,2542           17426                           STODL    DEL                                   #  UX UX(U-COS(A)) +COS(A)               $1
018314,000435: 22,2543           03345                                    COF        +2                         
018315,000436: 22,2544           41316                           DSQ      DMP                                   
018316,000437: 22,2545           00005                                    4                                     
018317,000438: 22,2546           52415                           DAD      SL3                                   
018318,000439: 22,2547           00003                                    2                                     
018319,000440: 22,2550           77604                           BOVB                                           
018320,000441: 22,2551           45761                                    SIGNMPAC                              
018321,000442: 22,2552           17436                           STODL    DEL        +8D                        #  UY UY(1-COS(A)) +COS(A)               $1
018322,000443: 22,2553           03347                                    COF        +4                         
018323,000444: 22,2554           41316                           DSQ      DMP                                   

Page 412

018325,000446: 22,2555           00005                                    4                                     
018326,000447: 22,2556           52415                           DAD      SL3                                   
018327,000448: 22,2557           00003                                    2                                     
018328,000449: 22,2560           77604                           BOVB                                           
018329,000450: 22,2561           45761                                    SIGNMPAC                              
018330,000451: 22,2562           03446                           STORE    DEL        +16D                       #  UZ UZ(1-COS(A)) +COS(A)               $1
018331,000452: 
018332,000453:                                                                                                  #  COMPUTE THE OFF DIAGONAL TERMS OF DEL
018333,000454: 
018334,000455: 22,2563           41345                           DLOAD    DMP                                   
018335,000456: 22,2564           03343                                    COF                                   
018336,000457: 22,2565           03345                                    COF        +2                         
018337,000458: 22,2566           72405                           DMP      SL1                                   
018338,000459: 22,2567           00005                                    4                                     
018339,000460: 22,2570           41325                           PDDL     DMP                                   #  D6    UX UY (1-COS A)                 $ 4
018340,000461: 22,2571           03347                                    COF        +4                         
018341,000462: 22,2572           00001                                    0                                     
018342,000463: 22,2573           43206                           PUSH     DAD                                   #  D8    UZ SIN A                        $ 4
018343,000464: 22,2574           00007                                    6                                     
018344,000465: 22,2575           41112                           SL2      BOVB                                  
018345,000466: 22,2576           45761                                    SIGNMPAC                              
018346,000467: 22,2577           17434                           STODL    DEL        +6                         
018347,000468: 22,2600           62421                           BDSU     SL2                                   
018348,000469: 22,2601           77604                           BOVB                                           
018349,000470: 22,2602           45761                                    SIGNMPAC                              
018350,000471: 22,2603           17430                           STODL    DEL        +2                         
018351,000472: 22,2604           03343                                    COF                                   
018352,000473: 22,2605           41205                           DMP      DMP                                   
018353,000474: 22,2606           03347                                    COF        +4                         
018354,000475: 22,2607           00005                                    4                                     
018355,000476: 22,2610           65352                           SL1      PDDL                                  #  D6    UX UZ (1-COS A)                 $ 4
018356,000477: 22,2611           03345                                    COF        +2                         
018357,000478: 22,2612           41405                           DMP      PUSH                                  #  D8    UY SIN(A)
018358,000479: 22,2613           00001                                    0                                     
018359,000480: 22,2614           62415                           DAD      SL2                                   
018360,000481: 22,2615           00007                                    6                                     
018361,000482: 22,2616           77604                           BOVB                                           
018362,000483: 22,2617           45761                                    SIGNMPAC                              
018363,000484: 22,2620           17432                           STODL    DEL        +4                         #  UX UZ (1-COS(A))+UY SIN(A)
018364,000485: 22,2621           62421                           BDSU     SL2                                   
018365,000486: 22,2622           77604                           BOVB                                           
018366,000487: 22,2623           45761                                    SIGNMPAC                              
018367,000488: 22,2624           17442                           STODL    DEL        +12D                       #  UX UZ (U-COS(A))-UY SIN(A)
018368,000489: 22,2625           03345                                    COF        +2                         
018369,000490: 22,2626           41205                           DMP      DMP                                   
018370,000491: 22,2627           03347                                    COF        +4                         
018371,000492: 22,2630           00005                                    4                                     
018372,000493: 22,2631           65352                           SL1      PDDL                                  #  D6    UY UZ (1-COS(A))                $ 4
018373,000494: 22,2632           03343                                    COF                                   
018374,000495: 22,2633           41405                           DMP      PUSH                                  #  D8    UX SIN(A)

Page 413

018376,000497: 22,2634           00001                                    0                                     
018377,000498: 22,2635           62415                           DAD      SL2                                   
018378,000499: 22,2636           00007                                    6                                     
018379,000500: 22,2637           77604                           BOVB                                           
018380,000501: 22,2640           45761                                    SIGNMPAC                              
018381,000502: 22,2641           17444                           STODL    DEL        +14D                       #  UY UZ(1-COS(A)) +UX SIN(A)
018382,000503: 22,2642           62421                           BDSU     SL2                                   
018383,000504: 22,2643           77604                           BOVB                                           
018384,000505: 22,2644           45761                                    SIGNMPAC                              
018385,000506: 22,2645           03440                           STORE    DEL        +10D                       #  UY UZ(1-COS(A)) -UX SIN(A)
018386,000507: 22,2646           77616                           RVQ                                            
018387,000508: 
018388,000509:                                                                                                  #  DIRECTION COSINE MATRIX TO CDU ANGLE ROUTINE
018389,000510:                                                                                                  #  X1 CONTAINS THE COMPLEMENT OF THE STARTING ADDRESS FOR MATRIX (SCALED 2)
018390,000511:                                                                                                  #  LEAVES CDU ANGLES SCALED 2PI IN V(MPAC)
018391,000512:                                                                                                  #  COS(MGA) WILL BE LEFT IN S1 (SCALED 1)
018392,000513: 
018393,000514:                                                                                                  #  THE DIRECTION COSINE MATRIX RELATING S/C AXES TO STABLE MEMBER AXES CAN BE WRITTEN AS ***
018394,000515: 
018395,000516:                                                                                                  #        C =COS(THETA)COS(PSI)
018396,000517:                                                                                                  #         0
018397,000518:                                                                                                  #        C =-COS(THETA)SIN(PSI)COS(PHI)+SI (THETA)SIN(PHI)
018398,000519:                                                                                                  #         1
018399,000520:                                                                                                  #        C =COS(THETA)SIN(PSI)SIN(PHI) + S N(THETA)COS(PHI)
018400,000521:                                                                                                  #         2
018401,000522:                                                                                                  #        C =SIN(PSI)
018402,000523:                                                                                                  #         3
018403,000524:                                                                                                  #        C =COS(PSI)COS(PHI)
018404,000525:                                                                                                  #         4
018405,000526:                                                                                                  #        C =-COS(PSI)SIN(PHI)
018406,000527:                                                                                                  #         5
018407,000528:                                                                                                  #        C =-SIN(THETA)COS(PSI)
018408,000529:                                                                                                  #         6
018409,000530:                                                                                                  #        C =SIN(THETA)SIN(PSI)COS(PHI)+COS THETA)SIN(PHI)
018410,000531:                                                                                                  #         7
018411,000532:                                                                                                  #        C =-SIN(THETA)SIN(PSI)SIN(PHI)+CO (THETA)COS(PHI)
018412,000533:                                                                                                  #         8
018413,000534: 
018414,000535:                                                                                                  #        WHERE   PHI = OGA
018415,000536:                                                                                                  #                THETA = IGA
018416,000537:                                                                                                  #                PSI = MGA
018417,000538: 
018418,000539: 22,2647           67543        DCMTOCDU           DLOAD*   ARCSIN                                
018419,000540: 22,2650           00007                                    6,1                                   
018420,000541: 22,2651           71406                           PUSH     COS                                   #  PD +0         PSI
018421,000542: 22,2652           41152                           SL1      BOVB                                  
018422,000543: 22,2653           45761                                    SIGNMPAC                              
018423,000544: 22,2654           00051                           STORE    S1                                    
018424,000545: 22,2655           57543                           DLOAD*   DCOMP                                 

Page 414

018426,000547: 22,2656           00015                                    12D,1                                 
018427,000548: 22,2657           67471                           DDV      ARCSIN                                
018428,000549: 22,2660           00051                                    S1                                    
018429,000550: 22,2661           51123                           PDDL*    BPL                                   #  PD +2         THETA
018430,000551: 22,2662           00001                                    0,1                                   #  MUST CHECK THE SIGN OF COS(THETA)
018431,000552: 22,2663           44675                                    OKTHETA                               #  TO DETERMINE THE PROPER QUADRANT
018432,000553: 22,2664           57545                           DLOAD    DCOMP                                 
018433,000554: 22,2665           43244                           BPL      DAD                                   
018434,000555: 22,2666           44672                                    SUHALFA                               
018435,000556: 22,2667           15334                                    DPHALF                                
018436,000557: 22,2670           77650                           GOTO                                           
018437,000558: 22,2671           44674                                    CALCPHI                               
018438,000559: 22,2672           77625        SUHALFA            DSU                                            
018439,000560: 22,2673           15334                                    DPHALF                                
018440,000561: 22,2674           77606        CALCPHI            PUSH                                           
018441,000562: 22,2675           57543        OKTHETA            DLOAD*   DCOMP                                 
018442,000563: 22,2676           00013                                    10D,1                                 
018443,000564: 22,2677           67471                           DDV      ARCSIN                                
018444,000565: 22,2700           00051                                    S1                                    
018445,000566: 22,2701           51123                           PDDL*    BPL                                   #  PUSH DOWN PHI
018446,000567: 22,2702           00011                                    8D,1                                  
018447,000568: 22,2703           44715                                    OKPHI                                 
018448,000569: 22,2704           57545                           DLOAD    DCOMP                                 #  PUSH UP PHI
018449,000570: 22,2705           43244                           BPL      DAD                                   
018450,000571: 22,2706           44712                                    SUHALFAP                              
018451,000572: 22,2707           15334                                    DPHALF                                
018452,000573: 22,2710           77650                           GOTO                                           
018453,000574: 22,2711           44716                                    VECOFANG                              
018454,000575: 22,2712           52025        SUHALFAP           DSU      GOTO                                  
018455,000576: 22,2713           15334                                    DPHALF                                
018456,000577: 22,2714           44716                                    VECOFANG                              
018457,000578: 22,2715           77745        OKPHI              DLOAD                                          #  PUSH UP PHI
018458,000579: 22,2716           43466        VECOFANG           VDEF     RVQ                                   
018459,000580: 

Page 415

018461,000582:                                                                                                  #  ROUTINE FOR TERMINATING AUTOMATIC MANEUVERS
018462,000583: 
018463,000584: 22,2717           77776        NOGOM3             EXIT                                           
018464,000585: 22,2720           00004        NOGOM2             INHINT                                         #  THIS LOCATION ACCESSED BY A BZMF NOGO -2
018465,000586: 22,2721           04636                           TC       BANKCALL                              
018466,000587: 22,2722           40203                           CADR     ZEROEROR                              
018467,000588: 
018468,000589: 22,2723           00004        NOGO               INHINT                                         
018469,000590: 22,2724           04463                           TC       STOPRATE                              
018470,000591: 
018471,000592: 22,2725           34767                           CAF      R67BIT                                
018472,000593: 22,2726           70104                           MASK     FLAGWRD8                              
018473,000594: 22,2727           00006                           EXTEND                                         
018474,000595: 22,2730           12740                           BZF      NOTR67ND                              
018475,000596: 
018476,000597: 22,2731           35016                           CAF      1SEC                                  #  WAITLIST TASK IN 1 SECON:
018477,000598: 22,2732           05233                           TC       WAITLIST                              #  RETURN TO UPDTCALL
018478,000599: 22,2733  E6,1661                                  EBANK=   BCDU                                  
018479,000600: 22,2733           02320 74066                     2CADR    R67                                   
018480,000601: 
018481,000602: 22,2735           05402                           TC       PHASCHNG                              
018482,000603: 22,2736           00111                           OCT      00111                                 
018483,000604: 
018484,000605: 22,2737  01,2025               1P11SPT2           =        1.11SPOT                              
018485,000606: 22,2737           05205                           TC       ENDOFJOB                              
018486,000607: 
018487,000608: 22,2740           34767        NOTR67ND           CAF      TWO                                   #  RETURN VIA
018488,000609: 22,2741           05233                           TC       WAITLIST                              #  GOODEND
018489,000610: 22,2742  E6,1661                                  EBANK=   BCDU                                  
018490,000611: 22,2742           02311 20066                     2CADR    ENDMANU                               
018491,000612: 
018492,000613: 22,2744           15205                           TCF      ENDOFJOB                              

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