Source Code

These source-code files were derived from scans of the Colossus 237 (Apollo 8 Command Module) program listing from the private collection of original AGC developer Fred Martin. Scanning was by Ron Burkey. Pre-existing Colossus 249 (Apollo 9 CM) source files were used as a template, and changes between Colossus 249 and Colossus 237 were manually transcribed by a team of volunteers. Note that the page images presented online are of reduced quality, and that additional images are 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 237 OF AGC PROGRAM COLOSSUS 
	BY NASA 2021111-031  1:17 AUG. 24, 1968
Note that the date is the date of the printout, not the date of the program revision.

055288,000002:                                                                                                  ## Copyright:   Public domain.
055289,000003:                                                                                                  ## Filename:    ORBITAL_INTEGRATION.agc
055290,000004:                                                                                                  ## Purpose:     Part of the source code for Colossus build 237.  
055291,000005:                                                                                                  ##              This is for the Command Module's (CM) Apollo Guidance
055292,000006:                                                                                                  ##              Computer (AGC), for Apollo 8.
055293,000007:                                                                                                  ## Assembler:   yaYUL
055294,000008:                                                                                                  ## Contact:     Onno Hommes <ohommes@alumni.cmu.edu>
055295,000009:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
055296,000010:                                                                                                  ## Page Scans:  www.ibiblio.org/apollo/ScansForConversion/Colossus237/
055297,000011:                                                                                                  ## Mod history: 2010-05-22 OH   Adapted from corresponding Colossus 249 file.
055298,000012:                                                                                                  ##              2010-12-04 JL   Remove Colossus 249 header comments. Change to double-has page numbers.
055299,000013:                                                                                                  ##              2011-02-12 JL   Minor fixes.
055300,000014:                                                                                                  ##              2017-01-01 RSB  Proofed comment text using octopus/ProoferComments,
055301,000015:                                                                                                  ##                              and fixed errors found.
055302,000016:                                                                                                  ##              2017-01-15 RSB  Fixed comment-text errors noted while diff'ing vs
055303,000017:                                                                                                  ##                              Colossus 249.
055304,000018: 

Page 1298

055306,000020:                                                                                                  #           DELETE
055307,000021: 13,3712                                           BANK     13                                    
055308,000022: 11,2000                                           SETLOC   ORBITAL                               
055309,000023: 11,2000                                           BANK                                           
055310,000024: 11,2310                                           COUNT    11/ORBIT                              
055311,000025:                                                                                                  #           DELETE
055312,000026: 11,2310           40354        KEPPREP            LXA,2    SETPD                                 
055313,000027: 11,2311           02150                                    PBODY                                 
055314,000028: 11,2312           00001                                    0                                     
055315,000029: 11,2313           75543                           DLOAD*   SQRT                                  #  SQRT(MU) (+18 OR +15)  0D        PL  2D
055316,000030: 11,2314           50044                                    MUEARTH,2                             
055317,000031: 11,2315           53515                           PDVL     UNIT                                  #                                   PL 8D
055318,000032: 11,2316           01535                                    RCV                                   
055319,000033: 11,2317           60325                           PDDL     NORM                                  #  NORM R (+29 OR +27 - N1) 2D      PL 4D
055320,000034: 11,2320           00045                                    36D                                   
055321,000035: 11,2321           00047                                    X1                                    
055322,000036: 11,2322           77715                           PDVL                                           
055323,000037: 11,2323           65241                           DOT      PDDL                                  #  F*SQRT(MU)(+7 OR+5) 4D         PL  6D
055324,000038: 11,2324           01543                                    VCV                                   
055325,000039: 11,2325           02312                                    TAU.                                  #  (+28)
055326,000040: 11,2326           60225                           DSU      NORM                                  
055327,000041: 11,2327           01551                                    TC                                    
055328,000042: 11,2330           00051                                    S1                                    
055329,000043: 11,2331           77742                           SR1                                            
055330,000044: 11,2332           65271                           DDV      PDDL                                  
055331,000045: 11,2333           00003                                    2D                                    
055332,000046: 11,2334           41405                           DMP      PUSH                                  #  FS(+6 +N1-N2) 6D               PL  8D
055333,000047: 11,2335           00005                                    4D                                    
055334,000048: 11,2336           65316                           DSQ      PDDL                                  #  (FS)SQ(+12 +2(N1-N2)) 8D       PL 10D
055335,000049: 11,2337           00005                                    4D                                    
055336,000050: 11,2340           64716                           DSQ      PDDL*                                 #  SSQ/MU(-2OR +2(N1-N2)) 10D       PL 12D
055337,000051: 11,2341           50044                                    MUEARTH,2                             
055338,000052: 11,2342           40442                           SR3      SR4                                   
055339,000053: 11,2343           47515                           PDVL     VSQ                                   #  PREALIGN MU (+43 OR +37) 12D   PL 14D
055340,000054: 11,2344           01543                                    VCV                                   
055341,000055: 11,2345           44205                           DMP      BDSU                                  #                                 PL 12D
055342,000056: 11,2346           00045                                    36D                                   
055343,000057: 11,2347           41271                           DDV      DMP                                   #                                 PL 10D
055344,000058: 11,2350           00003                                    2D                                    #  -(1/R-ALPHA)(+12 +3N1-2N2)
055345,000059: 11,2351           53605                           DMP      SL*                                   
055346,000060: 11,2352           23717                                    DP2/3                                 
055347,000061: 11,2353           20176                                    0          -3,1                       #  10L(1/R-ALPHA)(+13 +2(N1-N2))
055348,000062: 11,2354           43260                           XSU,1    DAD                                   #  2(FS)SQ - ETCETRA        PL 8D
055349,000063: 11,2355           00050                                    S1                                    #  X1 = N2-N1
055350,000064: 11,2356           45257                           SL*      DSU                                   #  -FS+2(FS)SQ ETC (+6 +N1-N2)    PL  6D
055351,000065: 11,2357           20211                                    8D,1                                  
055352,000066: 11,2360           41205                           DMP      DMP                                   
055353,000067: 11,2361           00001                                    0D                                    
055354,000068: 11,2362           00005                                    4D                                    
055355,000069: 11,2363           53657                           SL*      SL*                                   

Page 1299

055357,000071: 11,2364           20211                                    8D,1                                  
055358,000072: 11,2365           20201                                    0,1                                   #  S(-FS(1-2FS)-1/6...)(+17 OR +16)
055359,000073: 11,2366           65215                           DAD      PDDL                                  #                                 PL  6D
055360,000074: 11,2367           01553                                    XKEP                                  
055361,000075: 11,2370           53605                           DMP      SL*                                   #  S(+17 OR +16)
055362,000076: 11,2371           00001                                    0D                                    
055363,000077: 11,2372           20202                                    1,1                                   
055364,000078: 11,2373           43204                           BOVB     DAD                                   
055365,000079: 11,2374           57314                                    TCDANZIG                              
055366,000080: 11,2375           77626                           STADR                                          
055367,000081: 11,2376           75471                           STORE    XKEPNEW                               
055368,000082: 11,2377           74020                           STQ      AXC,1                                 
055369,000083: 11,2400           02270                                    KEPRTN                                
055370,000084: 11,2401           00012                           DEC      10         B-14                       
055371,000085: 11,2402           74014                           BON      AXC,1                                 
055372,000086: 11,2403           00303                                    MOONFLAG                              
055373,000087: 11,2404           24000                                    KEPLERN                               
055374,000088: 11,2405           00002                           DEC      2          B-14                       
055375,000089: 11,2406           77650                           GOTO                                           
055376,000090: 11,2407           24000                                    KEPLERN                               
055377,000091: 

Page 1300

055379,000093: 11,2410           66350        FBR3               LXA,1    SSP                                   
055380,000094: 11,2411           01500                                    DIFEQCNT                              
055381,000095: 11,2412           00051                                    S1                                    
055382,000096: 11,2413           77762                           DEC      -13        B-14                       
055383,000097: 11,2414           54345                           DLOAD    SR                                    
055384,000098: 11,2415           02314                                    DT/2                                  
055385,000099: 11,2416           20612                                    9D                                    
055386,000100: 11,2417           61500                           TIX,1    ROUND                                 
055387,000101: 11,2420           22421                                    +1                                    
055388,000102: 11,2421           43206                           PUSH     DAD                                   
055389,000103: 11,2422           01551                                    TC                                    
055390,000104: 11,2423           16312                           STODL    TAU.                                  
055391,000105: 11,2424           77615                           DAD                                            
055392,000106: 11,2425           01517                                    TET                                   
055393,000107: 11,2426           35517                           STCALL   TET                                   
055394,000108: 11,2427           22310                                    KEPPREP                               
055395,000109: 

Page 1301

055397,000111:                                                                                                  #  AGC ROUTINE TO COMPUTE ACCELERATION COMPONENTS.
055398,000112: 
055399,000113: 
055400,000114: 11,2430           73150        ACCOMP             LXA,1    LXA,2                                 
055401,000115: 11,2431           02150                                    PBODY                                 
055402,000116: 11,2432           02150                                    PBODY                                 
055403,000117: 11,2433           77775                           VLOAD                                          
055404,000118: 11,2434           11453                                    ZEROVEC                               
055405,000119: 11,2435           26202                           STOVL    FV                                    
055406,000120: 11,2436           02152                                    ALPHAV                                
055407,000121: 11,2437           53257                           VSL*     VAD                                   
055408,000122: 11,2440           57605                                    0          -7,2                       
055409,000123: 11,2441           01535                                    RCV                                   
055410,000124: 11,2442           02160                           STORE    BETAV                                 
055411,000125: 11,2443           65014                           BOF      XCHX,2                                
055412,000126: 11,2444           01756                                    DIM0FLAG                              
055413,000127: 11,2445           22452                                    +5                                    
055414,000128: 11,2446           01500                                    DIFEQCNT                              
055415,000129: 11,2447           12217                           STORE    VECTAB,2                              
055416,000130: 11,2450           77724                           XCHX,2                                         
055417,000131: 11,2451           01500                                    DIFEQCNT                              
055418,000132: 11,2452           53575                           VLOAD    UNIT                                  
055419,000133: 11,2453           02152                                    ALPHAV                                
055420,000134: 11,2454           16152                           STODL    ALPHAV                                
055421,000135: 11,2455           00045                                    36D                                   
055422,000136: 11,2456           02310                           STORE    ALPHAM                                
055423,000137: 11,2457           77624                           CALL                                           
055424,000138: 11,2460           22562                                    GAMCOMP                               
055425,000139: 11,2461           66175                           VLOAD    SXA,1                                 
055426,000140: 11,2462           02160                                    BETAV                                 
055427,000141: 11,2463           00051                                    S2                                    
055428,000142: 11,2464           16152                           STODL    ALPHAV                                
055429,000143: 11,2465           02210                                    BETAM                                 
055430,000144: 11,2466           02310                           STORE    ALPHAM                                
055431,000145: 11,2467           71214                           BOF      DLOAD                                 
055432,000146: 11,2470           00342                                    MIDFLAG                               
055433,000147: 11,2471           22725                                    OBLATE                                
055434,000148: 11,2472           01517                                    TET                                   
055435,000149: 11,2473           77624                           CALL                                           
055436,000150: 11,2474           54110                                    LSPOS                                 
055437,000151: 11,2475           72174                           AXT,2    LXA,1                                 
055438,000152: 11,2476           00002                                    2                                     
055439,000153: 11,2477           00051                                    S2                                    
055440,000154: 11,2500           77614                           BOF                                            
055441,000155: 11,2501           00343                                    MOONFLAG                              
055442,000156: 11,2502           22505                                    +3                                    
055443,000157: 11,2503           77076                           VCOMP    AXT,2                                 
055444,000158: 11,2504           00000                                    0                                     
055445,000159: 11,2505           02160                           STORE    BETAV                                 
055446,000160: 11,2506           26263                           STOVL    RPQV                                  

Page 1302

055448,000162: 11,2507           00003                                    2D                                    
055449,000163: 11,2510           02300                           STORE    RPSV                                  
055450,000164: 11,2511           45335                           SLOAD    DSU                                   
055451,000165: 11,2512           01012                                    MODREG                                
055452,000166: 11,2513           23721                                    OCT27                                 
055453,000167: 11,2514           43030                           BHIZ     BOF                                   
055454,000168: 11,2515           22520                                    +3                                    
055455,000169: 11,2516           01756                                    DIM0FLAG                              
055456,000170: 11,2517           22534                                    GETRPSV                               
055457,000171: 11,2520           74375                           VLOAD    VXSC                                  
055458,000172: 11,2521           02152                                    ALPHAV                                
055459,000173: 11,2522           02310                                    ALPHAM                                
055460,000174: 11,2523           52257                           VSR*     VSU                                   
055461,000175: 11,2524           57175                                    1,2                                   
055462,000176: 11,2525           02160                                    BETAV                                 
055463,000177: 11,2526           77724                           XCHX,2                                         
055464,000178: 11,2527           01500                                    DIFEQCNT                              
055465,000179: 11,2530           12225                           STORE    VECTAB     +6,2                       
055466,000180: 11,2531           02272                           STORE    RQVV                                  
055467,000181: 11,2532           77724                           XCHX,2                                         
055468,000182: 11,2533           01500                                    DIFEQCNT                              
055469,000183: 11,2534           62175        GETRPSV            VLOAD    INCR,1                                
055470,000184: 11,2535           02263                                    RPQV                                  
055471,000185: 11,2536           00004                                    4                                     
055472,000186: 11,2537           43014                           CLEAR    BOF                                   
055473,000187: 11,2540           04260                                    RPQFLAG                               
055474,000188: 11,2541           00343                                    MOONFLAG                              
055475,000189: 11,2542           22547                                    +5                                    
055476,000190: 11,2543           53261                           VSR      VAD                                   
055477,000191: 11,2544           20612                                    9D                                    
055478,000192: 11,2545           02300                                    RPSV                                  
055479,000193: 11,2546           02300                           STORE    RPSV                                  
055480,000194: 11,2547           77624                           CALL                                           
055481,000195: 11,2550           22562                                    GAMCOMP                               
055482,000196: 11,2551           62174                           AXT,2    INCR,1                                
055483,000197: 11,2552           00004                                    4                                     
055484,000198: 11,2553           00004                                    4                                     
055485,000199: 11,2554           77775                           VLOAD                                          
055486,000200: 11,2555           02300                                    RPSV                                  
055487,000201: 11,2556           36160                           STCALL   BETAV                                 
055488,000202: 11,2557           22562                                    GAMCOMP                               
055489,000203: 11,2560           77650                           GOTO                                           
055490,000204: 11,2561           22725                                    OBLATE                                
055491,000205: 11,2562           74575        GAMCOMP            VLOAD    VSR1                                  
055492,000206: 11,2563           02160                                    BETAV                                 
055493,000207: 11,2564           40236                           VSQ      SETPD                                 
055494,000208: 11,2565           00001                                    0                                     
055495,000209: 11,2566           61501                           NORM     ROUND                                 
055496,000210: 11,2567           00040                                    31D                                   
055497,000211: 11,2570           60325                           PDDL     NORM                                  #  NORMED B SQUARED TO PD LIST

Page 1303

055499,000213: 11,2571           02310                                    ALPHAM                                #  NORMALIZE (LESS ONE) LENGTH OF ALPHA
055500,000214: 11,2572           00041                                    32D                                   #  SAVING NORM SCALE FACTOR IN X1
055501,000215: 11,2573           63342                           SR1      PDVL                                  
055502,000216: 11,2574           02160                                    BETAV                                 #  C(PDL+2) = ALMOST NORMED ALPHA
055503,000217: 11,2575           77656                           UNIT                                           
055504,000218: 11,2576           16160                           STODL    BETAV                                 
055505,000219: 11,2577           00045                                    36D                                   
055506,000220: 11,2600           02210                           STORE    BETAM                                 
055507,000221: 11,2601           55301                           NORM     BDDV                                  #  FORM NORMALIZED QUOTIENT ALPHAM/BETAM
055508,000222: 11,2602           00042                                    33D                                   
055509,000223: 11,2603           41562                           SR1R     PUSH                                  #  C(PDL+2) = ALMOST NORMALIZED RHO.
055510,000224: 11,2604           77743                           DLOAD*                                         
055511,000225: 11,2605           27725                                    ASCALE,1                              
055512,000226: 11,2606           00051                           STORE    S1                                    
055513,000227: 11,2607           57124                           XCHX,2   XAD,2                                 
055514,000228: 11,2610           00050                                    S1                                    
055515,000229: 11,2611           00040                                    32D                                   
055516,000230: 11,2612           71264                           XSU,2    DLOAD                                 
055517,000231: 11,2613           00041                                    33D                                   
055518,000232: 11,2614           00003                                    2D                                    
055519,000233: 11,2615           65057                           SR*      XCHX,2                                
055520,000234: 11,2616           57177                                    0          -1,2                       
055521,000235: 11,2617           00050                                    S1                                    
055522,000236: 11,2620           74406                           PUSH     SR1R                                  #  RHO/4 TO 4D
055523,000237: 11,2621           50315                           PDVL     DOT                                   
055524,000238: 11,2622           02152                                    ALPHAV                                
055525,000239: 11,2623           02160                                    BETAV                                 
055526,000240: 11,2624           44372                           SL1R     BDSU                                  #  (RHO/4) - 2(ALPHAV/2.BETAV/2)
055527,000241: 11,2625           57206                           PUSH     DMPR                                  #  TO PDL+6
055528,000242: 11,2626           00005                                    4                                     
055529,000243: 11,2627           77752                           SL1                                            
055530,000244: 11,2630           43206                           PUSH     DAD                                   
055531,000245: 11,2631           23701                                    DQUARTER                              
055532,000246: 11,2632           75406                           PUSH     SQRT                                  
055533,000247: 11,2633           41475                           DMPR     PUSH                                  
055534,000248: 11,2634           00013                                    10D                                   
055535,000249: 11,2635           43352                           SL1      DAD                                   
055536,000250: 11,2636           23701                                    DQUARTER                              
055537,000251: 11,2637           43325                           PDDL     DAD                                   #  (1/4)+2((Q+1)/4)   TO PD+14D
055538,000252: 11,2640           00013                                    10D                                   
055539,000253: 11,2641           11451                                    HALFDP                                
055540,000254: 11,2642           72475                           DMPR     SL1                                   
055541,000255: 11,2643           00011                                    8D                                    
055542,000256: 11,2644           56215                           DAD      DDV                                   
055543,000257: 11,2645           23673                                    THREE/8                               
055544,000258: 11,2646           00017                                    14D                                   
055545,000259: 11,2647           74275                           DMPR     VXSC                                  
055546,000260: 11,2650           00007                                    6                                     
055547,000261: 11,2651           02160                                    BETAV                                 #                -
055548,000262: 11,2652           64515                           PDVL     VSR3                                  #  (G/2)(C(PD+4))B/2 TO PD+16D

Page 1304

055550,000264: 11,2653           02152                                    ALPHAV                                
055551,000265: 11,2654           41455                           VAD      PUSH                                  #  A12 + C(PD+16D) TO PD+16D
055552,000266: 11,2655           41345                           DLOAD    DMP                                   
055553,000267: 11,2656           00001                                    0                                     
055554,000268: 11,2657           00015                                    12D                                   #  -
055555,000269: 11,2660           61501                           NORM     ROUND                                 
055556,000270: 11,2661           00037                                    30D                                   
055557,000271: 11,2662           40665                           BDDV     DMP*                                  
055558,000272: 11,2663           00003                                    2                                     
055559,000273: 11,2664           50044                                    MUEARTH,2                             
055560,000274: 11,2665           74276                           DCOMP    VXSC                                  
055561,000275: 11,2666           57124                           XCHX,2   XAD,2                                 
055562,000276: 11,2667           00050                                    S1                                    
055563,000277: 11,2670           00051                                    S2                                    
055564,000278: 11,2671           55064                           XSU,2    XSU,2                                 
055565,000279: 11,2672           00036                                    30D                                   
055566,000280: 11,2673           00037                                    31D                                   
055567,000281: 11,2674           77600                           BOV                                            #  CLEAR OVIND
055568,000282: 11,2675           22676                                    +1                                    
055569,000283: 11,2676           65057                           VSR*     XCHX,2                                
055570,000284: 11,2677           57177                                    0          -1,2                       
055571,000285: 11,2700           00050                                    S1                                    
055572,000286: 11,2701           77655                           VAD                                            
055573,000287: 11,2702           02202                                    FV                                    
055574,000288: 11,2703           02202                           STORE    FV                                    
055575,000289: 11,2704           43400                           BOV      RVQ                                   #  RETURN IF NO OVERFLOW
055576,000290: 11,2705           22706                                    +1                                    
055577,000291: 11,2706           54345        GOBAQUE            DLOAD    SR                                    
055578,000292: 11,2707           02212                                    H                                     
055579,000293: 11,2710           20612                                    9D                                    
055580,000294: 11,2711           44206                           PUSH     BDSU                                  
055581,000295: 11,2712           01551                                    TC                                    
055582,000296: 11,2713           16312                           STODL    TAU.                                  
055583,000297: 11,2714           01517                                    TET                                   
055584,000298: 11,2715           45425                           DSU      STADR                                 
055585,000299: 11,2716           42260                           STCALL   TET                                   
055586,000300: 11,2717           22310                                    KEPPREP                               
055587,000301: 11,2720           77624                           CALL                                           
055588,000302: 11,2721           23344                                    RECTIFY                               
055589,000303: 11,2722           77614                           SETGO                                          
055590,000304: 11,2723           04020                                    RPQFLAG                               
055591,000305: 11,2724           27234                                    TESTLOOP                              
055592,000306: 

Page 1305

055594,000308:                                                                                                  #  THE OBLATE ROUTINE COMPUTES THE ACCELERATION DUE TO OBLATENESS. IT USES THE UNIT OF THE VEHICLE
055595,000309:                                                                                                  #  POSITION VECTOR FOUND IN ALPHAV AND THE DISTANCE TO THE CENTER IN ALPHAM. THIS IS ADDED TO THE SUM OF THE
055596,000310:                                                                                                  #  DISTURBING ACCELERATIONS IN FV AND THE PROPER DIFEQ STAGE IS CALLED VIA X1.
055597,000311: 11,2725           71354        OBLATE             LXA,2    DLOAD                                 
055598,000312: 11,2726           02150                                    PBODY                                 
055599,000313: 11,2727           02310                                    ALPHAM                                
055600,000314: 11,2730           44601                           SETPD    DSU*                                  
055601,000315: 11,2731           00001                                    0                                     
055602,000316: 11,2732           50012                                    RDE,2                                 
055603,000317: 11,2733           43044                           BPL      BOF                                   #  GET URPV
055604,000318: 11,2734           23135                                    NBRANCH                               
055605,000319: 11,2735           00343                                    MOONFLAG                              
055606,000320: 11,2736           23144                                    COSPHIE                               
055607,000321: 11,2737           65375                           VLOAD    PDDL                                  
055608,000322: 11,2740           02152                                    ALPHAV                                
055609,000323: 11,2741           01517                                    TET                                   
055610,000324: 11,2742           45125                           PDDL     CALL                                  
055611,000325: 11,2743           23671                                    3/5                                   
055612,000326: 11,2744           55366                                    R-TO-RP                               
055613,000327: 11,2745           00017                           STORE    URPV                                  
055614,000328: 11,2746           47375                           VLOAD    VXV                                   
055615,000329: 11,2747           02012                                    504LM                                 
055616,000330: 11,2750           11445                                    ZUNIT                                 
055617,000331: 11,2751           61255                           VAD      VXM                                   
055618,000332: 11,2752           11445                                    ZUNIT                                 
055619,000333: 11,2753           00025                                    MMATRIX                               
055620,000334: 11,2754           77656                           UNIT                                           #  POSSIBLY UNNECESSARY
055621,000335: 11,2755           00025        COMTERM            STORE    UZ                                    
055622,000336: 11,2756           57345                           DLOAD    DMPR                                  
055623,000337: 11,2757           00023                                    COSPHI/2                              
055624,000338: 11,2760           23703                                    3/32                                  
055625,000339: 11,2761           63525                           PDDL     DSQ                                   #  P2/64 TO PD0
055626,000340: 11,2762           00023                                    COSPHI/2                              
055627,000341: 11,2763           45275                           DMPR     DSU                                   
055628,000342: 11,2764           23705                                    15/16                                 
055629,000343: 11,2765           23677                                    3/64                                  
055630,000344: 11,2766           57206                           PUSH     DMPR                                  #  P3/32 TO PD2
055631,000345: 11,2767           00023                                    COSPHI/2                              
055632,000346: 11,2770           76405                           DMP      SL1R                                  
055633,000347: 11,2771           23711                                    7/12                                  
055634,000348: 11,2772           57325                           PDDL     DMPR                                  
055635,000349: 11,2773           00001                                    0                                     
055636,000350: 11,2774           23717                                    2/3                                   
055637,000351: 11,2775           41421                           BDSU     PUSH                                  #  P4/128 TO PD4
055638,000352: 11,2776           57275                           DMPR     DMPR                                  
055639,000353: 11,2777           00023                                    COSPHI/2                              #  BEGIN COMPUTING P5/1024
055640,000354: 11,3000           23713                                    9/16                                  
055641,000355: 11,3001           57325                           PDDL     DMPR                                  
055642,000356: 11,3002           00003                                    2                                     
055643,000357: 11,3003           23715                                    5/128                                 

Page 1306

055645,000359: 11,3004           77621                           BDSU                                           
055646,000360: 11,3005           77603                           DMP*                                           
055647,000361: 11,3006           50040                                    J4REQ/J3,2                            
055648,000362: 11,3007           43271                           DDV      DAD                                   #               -3
055649,000363: 11,3010           02310                                    ALPHAM                                #  (((P5/256)B 2  /R+P4/32)  /R+P3/8)ALPHAV
055650,000364: 11,3011           00005                                    4                                     #             4             3
055651,000365: 11,3012           56273                           DMPR*    DDV                                   
055652,000366: 11,3013           50034                                    2J3RE/J2,2                            
055653,000367: 11,3014           02310                                    ALPHAM                                
055654,000368: 11,3015           74215                           DAD      VXSC                                  
055655,000369: 11,3016           00003                                    2                                     
055656,000370: 11,3017           02152                                    ALPHAV                                
055657,000371: 11,3020           14033                           STODL    TVEC                                  
055658,000372: 11,3021           70403                           DMP*     SR1                                   
055659,000373: 11,3022           50040                                    J4REQ/J3,2                            
055660,000374: 11,3023           43271                           DDV      DAD                                   
055661,000375: 11,3024           02310                                    ALPHAM                                #                 -3
055662,000376: 11,3025           50473                           DMPR*    SR3                                   
055663,000377: 11,3026           50034                                    2J3RE/J2,2                            #     3         4
055664,000378: 11,3027           43271                           DDV      DAD                                   
055665,000379: 11,3030           02310                                    ALPHAM                                
055666,000380: 11,3031           76561                           VXSC     VSL1                                  
055667,000381: 11,3032           00025                                    UZ                                    
055668,000382: 11,3033           77645                           BVSU                                           
055669,000383: 11,3034           00033                                    TVEC                                  
055670,000384: 11,3035           14033                           STODL    TVEC                                  
055671,000385: 11,3036           02310                                    ALPHAM                                
055672,000386: 11,3037           63501                           NORM     DSQ                                   
055673,000387: 11,3040           00047                                    X1                                    
055674,000388: 11,3041           60316                           DSQ      NORM                                  
055675,000389: 11,3042           00051                                    S1                                    #          4
055676,000390: 11,3043           54606                           PUSH     BDDV*                                 #  NORMED R  TO 0D
055677,000391: 11,3044           50030                                    J2REQSQ,2                             
055678,000392: 11,3045           77761                           VXSC                                           
055679,000393: 11,3046           00033                                    TVEC                                  
055680,000394: 11,3047           00033                           STORE    TVEC                                  
055681,000395: 11,3050           56070                           XAD,1    XAD,1                                 
055682,000396: 11,3051           00046                                    X1                                    
055683,000397: 11,3052           00046                                    X1                                    
055684,000398: 11,3053           43070                           XAD,1    BOF                                   
055685,000399: 11,3054           00050                                    S1                                    
055686,000400: 11,3055           00343                                    MOONFLAG                              
055687,000401: 11,3056           23125                                    NBRANCH1                              
055688,000402: 11,3057           63545                           DLOAD    DSQ                                   #   2
055689,000403: 11,3060           00017                                    URPV                                  #  X  B-2 TO 2D
055690,000404: 11,3061           63525                           PDDL     DSQ                                   
055691,000405: 11,3062           00021                                    URPV       +2                         #   2   2
055692,000406: 11,3063           65215                           DAD      PDDL                                  #  Y  +X  B-2 TO 2D
055693,000407: 11,3064           00003                                    2D                                    
055694,000408: 11,3065           45352                           SL1      DSU                                   

Page 1307

055696,000410: 11,3066           00003                                    2D                                    
055697,000411: 11,3067           41525                           PDDL     PUSH                                  #  X -Y  B-2 TO 4D  COSPHI 2 TO 6D
055698,000412: 11,3070           00023                                    COSPHI/2                              
055699,000413: 11,3071           65361                           VXSC     PDDL                                  #  2COSPHI(UZ) B-3 TO 6D
055700,000414: 11,3072           00025                                    UZ                                    
055701,000415: 11,3073           45316                           DSQ      DSU                                   
055702,000416: 11,3074           23671                                    3/5                                   #    2  2       2
055703,000417: 11,3075           52405                           DMP      SL3                                   #  (X -Y)((5COS (PHI)-3)UR 2COS(PHI)UZ)
055704,000418: 11,3076           27753                                    5/8                                   
055705,000419: 11,3077           52361                           VXSC     VSU                                   #       B-3 TO 4D
055706,000420: 11,3100           02152                                    ALPHAV                                
055707,000421: 11,3101           72561                           VXSC     VSL2                                  
055708,000422: 11,3102           77725                           PDDL                                           
055709,000423: 11,3103           00017                                    URPV                                  
055710,000424: 11,3104           63205                           DMP      PDVL                                  #  XY B-2 TO 10D
055711,000425: 11,3105           00021                                    URPV       +2                         
055712,000426: 11,3106           02152                                    ALPHAV                                
055713,000427: 11,3107           74235                           VXV      VXSC                                  
055714,000428: 11,3110           00025                                    UZ                                    
055715,000429: 11,3111           53332                           VSL3     VAD                                   #  4XY(UR X UZ) + D( 4D) B-3
055716,000430: 11,3112           77725                           PDDL                                           
055717,000431: 11,3113           41301                           NORM     DMP                                   
055718,000432: 11,3114           00050                                    X2                                    
055719,000433: 11,3115           00001                                    0D                                    #  3J22R2MU/(X +Y )R
055720,000434: 11,3116           74265                           BDDV     VXSC                                  
055721,000435: 11,3117           27751                                    3J22R2MU                              
055722,000436: 11,3120           53257                           VSL*     VAD                                   
055723,000437: 11,3121           57605                                    0          -7,2                       
055724,000438: 11,3122           00033                                    TVEC                                  
055725,000439: 11,3123           77754                           LXA,2                                          
055726,000440: 11,3124           02150                                    PBODY                                 
055727,000441: 11,3125           77600        NBRANCH1           BOV                                            
055728,000442: 11,3126           23127                                    +1                                    
055729,000443: 11,3127           53257                           VSL*     VAD                                   
055730,000444: 11,3130           20153                                    0          -22D,1                     
055731,000445: 11,3131           02202                                    FV                                    
055732,000446: 11,3132           02202                           STORE    FV                                    
055733,000447: 11,3133           77600                           BOV                                            
055734,000448: 11,3134           22706                                    GOBAQUE                               
055735,000449: 11,3135           72135        NBRANCH            SLOAD    LXA,1                                 
055736,000450: 11,3136           01501                                    DIFEQCNT                              
055737,000451: 11,3137           00154                                    MPAC                                  
055738,000452: 11,3140           73205                           DMP      CGOTO                                 
055739,000453: 11,3141           27755                                    -1/12                                 
055740,000454: 11,3142           00155                                    MPAC                                  
055741,000455: 11,3143           23152                                    DIFEQTAB                              
055742,000456: 11,3144           77745        COSPHIE            DLOAD                                          
055743,000457: 11,3145           02156                                    ALPHAV     +4                         
055744,000458: 11,3146           24023                           STOVL    COSPHI/2                              
055745,000459: 11,3147           11445                                    ZUNIT                                 

Page 1308

055747,000461: 11,3150           77650                           GOTO                                           
055748,000462: 11,3151           22755                                    COMTERM                               
055749,000463: 11,3152           23371        DIFEQTAB           CADR     DIFEQ+0                               
055750,000464: 11,3153           23375                           CADR     DIFEQ+1                               
055751,000465: 11,3154           23406                           CADR     DIFEQ+2                               
055752,000466: 11,3155           77214        TIMESTEP           BOF      VLOAD                                 
055753,000467: 11,3156           00342                                    MIDFLAG                               
055754,000468: 11,3157           23206                                    RECTEST                               
055755,000469: 11,3160           01535                                    RCV                                   
055756,000470: 11,3161           41241                           DOT      DMP                                   
055757,000471: 11,3162           01543                                    VCV                                   
055758,000472: 11,3163           02314                                    DT/2                                  #  (R.V) X (DELTA T)
055759,000473: 11,3164           77640                           BMN                                            
055760,000474: 11,3165           23206                                    RECTEST                               
055761,000475: 11,3166           43014                           BON      BOF                                   
055762,000476: 11,3167           00303                                    MOONFLAG                              
055763,000477: 11,3170           23263                                    LUNSPH                                
055764,000478: 11,3171           04340                                    RPQFLAG                               
055765,000479: 11,3172           23260                                    EARSPH                                
055766,000480: 11,3173           45145                           DLOAD    CALL                                  
055767,000481: 11,3174           01517                                    TET                                   
055768,000482: 11,3175           54110                                    LSPOS                                 #  RPQV IN MPAC
055769,000483: 11,3176           02263                           STORE    RPQV                                  #  RPQV
055770,000484: 11,3177           77754                           LXA,2                                          
055771,000485: 11,3200           02150                                    PBODY                                 
055772,000486: 11,3201           51445        INLUNCHK           BVSU     ABVAL                                 
055773,000487: 11,3202           01535                                    RCV                                   
055774,000488: 11,3203           50025                           DSU      BMN                                   
055775,000489: 11,3204           27761                                    RSPHERE                               
055776,000490: 11,3205           23300                                    DOSWITCH                              
055777,000491: 11,3206           51575        RECTEST            VLOAD    ABVAL                                 #  RECTIFY IF
055778,000492: 11,3207           01521                                    TDELTAV                               
055779,000493: 11,3210           77600                           BOV                                            
055780,000494: 11,3211           23234                                    CALLRECT                              
055781,000495: 11,3212           51025                           DSU      BPL                                   #      1) EITHER TDELTAV OR TNUV EQUALS OR
055782,000496: 11,3213           23707                                    3/4                                   #         EXCEEDS 3/4 IN MAGNITUDE
055783,000497: 11,3214           23234                                    CALLRECT                              
055784,000498: 11,3215           53615                           DAD      SL*                                   #                   OR
055785,000499: 11,3216           23707                                    3/4                                   
055786,000500: 11,3217           57605                                    0          -7,2                       #      2) ABVAL(TDELTAV) EQUALS OR EXCEEDS
055787,000501: 11,3220           45271                           DDV      DSU                                   #         .01(ABVAL(RCV))
055788,000502: 11,3221           00013                                    10D                                   
055789,000503: 11,3222           27757                                    RECRATIO                              
055790,000504: 11,3223           77244                           BPL      VLOAD                                 
055791,000505: 11,3224           23234                                    CALLRECT                              
055792,000506: 11,3225           01527                                    TNUV                                  
055793,000507: 11,3226           45246                           ABVAL    DSU                                   
055794,000508: 11,3227           23707                                    3/4                                   
055795,000509: 11,3230           77600                           BOV                                            
055796,000510: 11,3231           23234                                    CALLRECT                              

Page 1309

055798,000512: 11,3232           77640                           BMN                                            
055799,000513: 11,3233           23236                                    INTGRATE                              
055800,000514: 11,3234           77624        CALLRECT           CALL                                           
055801,000515: 11,3235           23344                                    RECTIFY                               
055802,000516: 11,3236           77775        INTGRATE           VLOAD                                          
055803,000517: 11,3237           01527                                    TNUV                                  
055804,000518: 11,3240           25120                           STOVL    ZV                                    
055805,000519: 11,3241           01521                                    TDELTAV                               
055806,000520: 11,3242           01112                           STORE    YV                                    
055807,000521: 11,3243           77614                           CLEAR                                          
055808,000522: 11,3244           00261                                    JSWITCH                               
055809,000523: 11,3245           66375        DIFEQ0             VLOAD    SSP                                   
055810,000524: 11,3246           01112                                    YV                                    
055811,000525: 11,3247           01501                                    DIFEQCNT                              
055812,000526: 11,3250           00000                                    0                                     
055813,000527: 11,3251           16152                           STODL    ALPHAV                                
055814,000528: 11,3252           11453                                    DPZERO                                
055815,000529: 11,3253           02212                           STORE    H                                     #  START H AT ZERO. GOES 0(DELT/2)DELT.
055816,000530: 11,3254           52014                           BON      GOTO                                  
055817,000531: 11,3255           00301                                    JSWITCH                               
055818,000532: 11,3256           23610                                    DOW..                                 
055819,000533: 11,3257           22430                                    ACCOMP                                
055820,000534: 11,3260           52175        EARSPH             VLOAD    GOTO                                  
055821,000535: 11,3261           02263                                    RPQV                                  
055822,000536: 11,3262           23201                                    INLUNCHK                              
055823,000537: 11,3263           60545        LUNSPH             DLOAD    SR2                                   
055824,000538: 11,3264           00013                                    10D                                   
055825,000539: 11,3265           50025                           DSU      BMN                                   
055826,000540: 11,3266           27761                                    RSPHERE                               
055827,000541: 11,3267           23206                                    RECTEST                               
055828,000542: 11,3270           71214                           BOF      DLOAD                                 
055829,000543: 11,3271           04340                                    RPQFLAG                               
055830,000544: 11,3272           23300                                    DOSWITCH                              
055831,000545: 11,3273           01517                                    TET                                   
055832,000546: 11,3274           77624                           CALL                                           
055833,000547: 11,3275           54115                                    LUNPOS                                
055834,000548: 11,3276           77676                           VCOMP                                          
055835,000549: 11,3277           02263                           STORE    RPQV                                  
055836,000550: 11,3300           77624        DOSWITCH           CALL                                           
055837,000551: 11,3301           23304                                    ORIGCHNG                              
055838,000552: 11,3302           77650                           GOTO                                           
055839,000553: 11,3303           23236                                    INTGRATE                              
055840,000554: 11,3304           45020        ORIGCHNG           STQ      CALL                                  
055841,000555: 11,3305           02270                                    ORIGEX                                
055842,000556: 11,3306           23344                                    RECTIFY                               
055843,000557: 11,3307           53775                           VLOAD    VSL*                                  
055844,000558: 11,3310           01535                                    RCV                                   
055845,000559: 11,3311           57576                                    0,2                                   
055846,000560: 11,3312           53651                           VSU      VSL*                                  
055847,000561: 11,3313           02263                                    RPQV                                  

Page 1310

055849,000563: 11,3314           57574                                    2,2                                   
055850,000564: 11,3315           01503                           STORE    RRECT                                 
055851,000565: 11,3316           15535                           STODL    RCV                                   
055852,000566: 11,3317           01517                                    TET                                   
055853,000567: 11,3320           77624                           CALL                                           
055854,000568: 11,3321           54120                                    LUNVEL                                
055855,000569: 11,3322           57414                           BOF      VCOMP                                 
055856,000570: 11,3323           00343                                    MOONFLAG                              
055857,000571: 11,3324           23325                                    +1                                    
055858,000572: 11,3325           53715                           PDVL     VSL*                                  
055859,000573: 11,3326           01543                                    VCV                                   
055860,000574: 11,3327           57576                                    0,2                                   
055861,000575: 11,3330           77651                           VSU                                            
055862,000576: 11,3331           77657                           VSL*                                           
055863,000577: 11,3332           57574                                    0          +2,2                       
055864,000578: 11,3333           01511                           STORE    VRECT                                 
055865,000579: 11,3334           01543                           STORE    VCV                                   
055866,000580: 11,3335           67154                           LXA,2    SXA,2                                 
055867,000581: 11,3336           02270                                    ORIGEX                                
055868,000582: 11,3337           00052                                    QPRET                                 
055869,000583: 11,3340           52014                           BON      GOTO                                  
055870,000584: 11,3341           00303                                    MOONFLAG                              
055871,000585: 11,3342           26666                                    CLRMOON                               
055872,000586: 11,3343           26673                                    SETMOON                               
055873,000587: 

Page 1311

055875,000589:                                                                                                  #  THE RECTIFY SUBROUTINE IS CALLED BY THE INTEGRATION PROGRAM AND OCCASIONALLY BY THE MEASUREMENT INCORPORATION
055876,000590:                                                                                                  #  ROUTINES TO ESTABLISH A NEW CONIC.
055877,000591: 
055878,000592: 
055879,000593: 11,3344           77354        RECTIFY            LXA,2    VLOAD                                 
055880,000594: 11,3345           02150                                    PBODY                                 
055881,000595: 11,3346           01521                                    TDELTAV                               
055882,000596: 11,3347           53257                           VSL*     VAD                                   
055883,000597: 11,3350           57605                                    0          -7,2                       
055884,000598: 11,3351           01535                                    RCV                                   
055885,000599: 11,3352           01503                           STORE    RRECT                                 
055886,000600: 11,3353           25535                           STOVL    RCV                                   
055887,000601: 11,3354           01527                                    TNUV                                  
055888,000602: 11,3355           53257                           VSL*     VAD                                   
055889,000603: 11,3356           57602                                    0          -4,2                       
055890,000604: 11,3357           01543                                    VCV                                   
055891,000605: 11,3360           01511        MINIRECT           STORE    VRECT                                 
055892,000606: 11,3361           25543                           STOVL    VCV                                   
055893,000607: 11,3362           11453                                    ZEROVEC                               
055894,000608: 11,3363           01521                           STORE    TDELTAV                               
055895,000609: 11,3364           15527                           STODL    TNUV                                  
055896,000610: 11,3365           11453                                    ZEROVEC                               
055897,000611: 11,3366           01551                           STORE    TC                                    
055898,000612: 11,3367           01553                           STORE    XKEP                                  
055899,000613: 11,3370           77616                           RVQ                                            
055900,000614: 

Page 1312

055902,000616:                                                                                                  #  THE THREE DIFEQ ROUTINES - DIFEQ+0, DIFEQ+12, AND DIFEQ+24 - ARE ENTEREDTO PROCESS THE CONTRIBUTIONS AT THE
055903,000617:                                                                                                  #  BEGINNING, MIDDLE, AND END OF THE TIMESTEP, RESPECTIVELY. THE UPDATING IS DONE BY THE NYSTROM METHOD.
055904,000618: 11,3371           64575        DIFEQ+0            VLOAD    VSR3                                  
055905,000619: 11,3372           02202                                    FV                                    
055906,000620: 11,3373           36166                           STCALL   PHIV                                  
055907,000621: 11,3374           23551                                    DIFEQCOM                              
055908,000622: 11,3375           74575        DIFEQ+1            VLOAD    VSR1                                  
055909,000623: 11,3376           02202                                    FV                                    
055910,000624: 11,3377           53206                           PUSH     VAD                                   
055911,000625: 11,3400           02166                                    PHIV                                  
055912,000626: 11,3401           26174                           STOVL    PSIV                                  
055913,000627: 11,3402           53362                           VSR1     VAD                                   
055914,000628: 11,3403           02166                                    PHIV                                  
055915,000629: 11,3404           36166                           STCALL   PHIV                                  
055916,000630: 11,3405           23551                                    DIFEQCOM                              
055917,000631: 11,3406           57345        DIFEQ+2            DLOAD    DMPR                                  
055918,000632: 11,3407           02212                                    H                                     
055919,000633: 11,3410           23717                                    DP2/3                                 
055920,000634: 11,3411           74206                           PUSH     VXSC                                  
055921,000635: 11,3412           02166                                    PHIV                                  
055922,000636: 11,3413           53372                           VSL1     VAD                                   
055923,000637: 11,3414           01120                                    ZV                                    
055924,000638: 11,3415           53361                           VXSC     VAD                                   
055925,000639: 11,3416           02212                                    H                                     
055926,000640: 11,3417           01112                                    YV                                    
055927,000641: 11,3420           25112                           STOVL    YV                                    
055928,000642: 11,3421           02202                                    FV                                    
055929,000643: 11,3422           53322                           VSR3     VAD                                   
055930,000644: 11,3423           02174                                    PSIV                                  
055931,000645: 11,3424           76561                           VXSC     VSL1                                  
055932,000646: 11,3425           77655                           VAD                                            
055933,000647: 11,3426           01120                                    ZV                                    
055934,000648: 11,3427           01120                           STORE    ZV                                    
055935,000649: 11,3430           45014                           BOFF     CALL                                  
055936,000650: 11,3431           00341                                    JSWITCH                               
055937,000651: 11,3432           23502                                    ENDSTATE                              
055938,000652: 11,3433           56712                                    GRP2PC                                
055939,000653: 11,3434           77354                           LXA,2    VLOAD                                 
055940,000654: 11,3435           01102                                    COLREG                                
055941,000655: 11,3436           01120                                    ZV                                    
055942,000656: 11,3437           77732                           VSL3                                           #  ADJUST W-POSITION FOR STORAGE
055943,000657: 11,3440           12467                           STORE    W          +54D,2                     
055944,000658: 11,3441           77775                           VLOAD                                          
055945,000659: 11,3442           01112                                    YV                                    
055946,000660: 11,3443           40132                           VSL3     BOV                                   
055947,000661: 11,3444           23574                                    WMATEND                               
055948,000662: 11,3445           12401                           STORE    W,2                                   
055949,000663: 
055950,000664: 11,3446           77624                           CALL                                           
055951,000665: 11,3447           56712                                    GRP2PC                                

Page 1313

055953,000667: 11,3450           66354                           LXA,2    SSP                                   
055954,000668: 11,3451           01102                                    COLREG                                
055955,000669: 11,3452           00052                                    S2                                    
055956,000670: 11,3453           00000                                    0                                     
055957,000671: 11,3454           67114                           INCR,2   SXA,2                                 
055958,000672: 11,3455           00006                                    6                                     
055959,000673: 11,3456           01111                                    YV                                    
055960,000674: 11,3457           45104                           TIX,2    CALL                                  
055961,000675: 11,3460           23545                                    RELOADSV                              
055962,000676: 11,3461           56712                                    GRP2PC                                
055963,000677: 11,3462           67154                           LXA,2    SXA,2                                 
055964,000678: 11,3463           01111                                    YV                                    
055965,000679: 11,3464           01102                                    COLREG                                
055966,000680: 
055967,000681: 11,3465           77624        NEXTCOL            CALL                                           
055968,000682: 11,3466           56712                                    GRP2PC                                
055969,000683: 11,3467           76754                           LXA,2    VLOAD*                                
055970,000684: 11,3470           01102                                    COLREG                                
055971,000685: 11,3471           75376                                    W,2                                   
055972,000686: 11,3472           77722                           VSR3                                           #  ADJUST W-POSITION FOR INTEGRATION
055973,000687: 11,3473           01112                           STORE    YV                                    
055974,000688: 11,3474           76173                           VLOAD*   AXT,1                                 
055975,000689: 11,3475           75310                                    W          +54D,2                     
055976,000690: 11,3476           00000                                    0                                     
055977,000691: 11,3477           77722                           VSR3                                           #  ADJUST W-VELOCITY FOR INTEGRATION
055978,000692: 11,3500           35120                           STCALL   ZV                                    
055979,000693: 11,3501           23245                                    DIFEQ0                                
055980,000694: 
055981,000695: 11,3502           77200        ENDSTATE           BOV      VLOAD                                 
055982,000696: 11,3503           22706                                    GOBAQUE                               
055983,000697: 11,3504           01120                                    ZV                                    
055984,000698: 11,3505           25527                           STOVL    TNUV                                  
055985,000699: 11,3506           01112                                    YV                                    
055986,000700: 11,3507           01521                           STORE    TDELTAV                               
055987,000701: 11,3510           43014                           BON      BOFF                                  
055988,000702: 11,3511           04715                                    MIDAVFLG                              
055989,000703: 11,3512           27650                                    CKMID2                                #  CHECK FOR MID2 BEFORE GOING TO TIMEINC
055990,000704: 11,3513           01756                                    DIM0FLAG                              
055991,000705: 11,3514           27234                                    TESTLOOP                              
055992,000706: 11,3515           77776                           EXIT                                           
055993,000707: 11,3516           05301                           TC       PHASCHNG                              
055994,000708: 11,3517           04022                           OCT      04022                                 #  PHASE 1
055995,000709: 11,3520           05435                           TC       UPFLAG                                #  PHASE CHANGE HAS OCCURRED BETWEEN
055996,000710: 11,3521           00236                           ADRES    REINTFLG                              #  INTSTALL AND INTWAKE
055997,000711: 11,3522           06006                           TC       INTPRET                               
055998,000712: 11,3523           77731                           SSP                                            
055999,000713: 11,3524           00053                                    QPRET                                 
056000,000714: 11,3525           23532                                    AMOVED                                
056001,000715: 11,3526           52014                           BON      GOTO                                  
056002,000716: 11,3527           01714                                    VINTFLAG                              

Page 1314

056004,000718: 11,3530           26636                                    ATOPCSM                               
056005,000719: 11,3531           26711                                    ATOPLEM                               
056006,000720: 11,3532           66214        AMOVED             SET      SSP                                   
056007,000721: 11,3533           00061                                    JSWITCH                               
056008,000722: 11,3534           01103                                    COLREG                                
056009,000723: 11,3535           77741                           DEC      -30        B-14                       
056010,000724: 11,3536           66214                           BOFF     SSP                                   
056011,000725: 11,3537           01755                                    D6OR9FLG                              
056012,000726: 11,3540           23465                                    NEXTCOL                               
056013,000727: 11,3541           01103                                    COLREG                                
056014,000728: 11,3542           77717                           DEC      -48        B-14                       
056015,000729: 11,3543           77650                           GOTO                                           
056016,000730: 11,3544           23465                                    NEXTCOL                               
056017,000731: 
056018,000732: 
056019,000733: 11,3545           77745        RELOADSV           DLOAD                                          #  RELOAD TEMPORARY STATE VECTOR
056020,000734: 11,3546           01101                                    TDEC                                  #  FROM PERMANENT IN CASE OF
056021,000735: 11,3547           34041                           STCALL   TDEC1                                 
056022,000736: 11,3550           27120                                    INTEGRV2                              #  BY STARTING AT INTEGRV2.
056023,000737: 11,3551           43345        DIFEQCOM           DLOAD    DAD                                   #  INCREMENT H AND DIFEQCNT.
056024,000738: 11,3552           02314                                    DT/2                                  
056025,000739: 11,3553           02212                                    H                                     
056026,000740: 11,3554           66110                           INCR,1   SXA,1                                 
056027,000741: 11,3555           77763                           DEC      -12        B-14                       
056028,000742: 11,3556           01500                                    DIFEQCNT                              #  DIFEQCNT SET FOR NEXT ENTRY.
056029,000743: 11,3557           02212                           STORE    H                                     
056030,000744: 11,3560           74561                           VXSC     VSR1                                  
056031,000745: 11,3561           02202                                    FV                                    
056032,000746: 11,3562           74255                           VAD      VXSC                                  
056033,000747: 11,3563           01120                                    ZV                                    
056034,000748: 11,3564           02212                                    H                                     
056035,000749: 11,3565           77655                           VAD                                            
056036,000750: 11,3566           01112                                    YV                                    
056037,000751: 11,3567           02152                           STORE    ALPHAV                                
056038,000752: 11,3570           52014                           BON      GOTO                                  
056039,000753: 11,3571           00301                                    JSWITCH                               
056040,000754: 11,3572           23610                                    DOW..                                 
056041,000755: 11,3573           22410                                    FBR3                                  
056042,000756: 
056043,000757: 
056044,000758: 11,3574           43014        WMATEND            CLEAR    CLEAR                                 
056045,000759: 11,3575           01676                                    DIM0FLAG                              #  DONT INTEGRATE W THIS TIME
056046,000760: 11,3576           01671                                    ORBWFLAG                              #  INVALIDATE W
056047,000761: 11,3577           77614                           CLEAR                                          
056048,000762: 11,3600           02676                                    RENDWFLG                              
056049,000763: 11,3601           77414                           SET      EXIT                                  
056050,000764: 11,3602           01472                                    STATEFLG                              #  PICK UP STATE VECTOR UPDATE
056051,000765: 11,3603           05537                           TC       ALARM                                 
056052,000766: 11,3604           00421                           OCT      421                                   
056053,000767: 11,3605           06006                           TC       INTPRET                               

Page 1315

056055,000769: 11,3606           77650                           GOTO                                           
056056,000770: 11,3607           27234                                    TESTLOOP                              #  FINISH INTEGRATING STATE VECTOR
056057,000771: 

Page 1316

056059,000773:                                                                                                  #  ORBITAL ROUTINE FOR EXTRAPOLATION OF THE W MATRIX. IT COMPUTES THE SECOND DERIVATIVE OF EACH COLUMN POSITION
056060,000774:                                                                                                  #  VECTOR OF THE MATRIX AND CALLS THE NYSTROM INTEGRATION ROUTINES TO SOLVETHE DIFFERENTIAL EQUATIONS. THE PROGRAM
056061,000775:                                                                                                  #  USES A TABLE OF VEHICLE POSITION VECTORS COMPUTED DURING THE INTEGRATION OF THE VEHICLES POSITION AND VELOCITY.
056062,000776: 11,3610           70754        DOW..              LXA,2    DLOAD*                                
056063,000777: 11,3611           02150                                    PBODY                                 
056064,000778: 11,3612           50044                                    MUEARTH,2                             
056065,000779: 11,3613           36210                           STCALL   BETAM                                 
056066,000780: 11,3614           23636                                    DOW..1                                
056067,000781: 11,3615           02202                           STORE    FV                                    
056068,000782: 11,3616           62014                           BOF      INCR,1                                
056069,000783: 11,3617           00342                                    MIDFLAG                               
056070,000784: 11,3620           23135                                    NBRANCH                               
056071,000785: 11,3621           77771                           DEC      -6         B-14                       
056072,000786: 11,3622           70744                           LXC,2    DLOAD*                                
056073,000787: 11,3623           02150                                    PBODY                                 
056074,000788: 11,3624           50046                                    MUEARTH    -2,2                       
056075,000789: 11,3625           36210                           STCALL   BETAM                                 
056076,000790: 11,3626           23636                                    DOW..1                                
056077,000791: 11,3627           50414                           BON      VSR6                                  
056078,000792: 11,3630           00303                                    MOONFLAG                              
056079,000793: 11,3631           23632                                    +1                                    
056080,000794: 11,3632           77655                           VAD                                            
056081,000795: 11,3633           02202                                    FV                                    
056082,000796: 11,3634           36202                           STCALL   FV                                    
056083,000797: 11,3635           23135                                    NBRANCH                               
056084,000798: 11,3636           60575        DOW..1             VLOAD    VSR4                                  
056085,000799: 11,3637           02152                                    ALPHAV                                
056086,000800: 11,3640           53513                           PDVL*    UNIT                                  
056087,000801: 11,3641           02217                                    VECTAB,1                              
056088,000802: 11,3642           46315                           PDVL     VPROJ                                 
056089,000803: 11,3643           02152                                    ALPHAV                                
056090,000804: 11,3644           52361                           VXSC     VSU                                   
056091,000805: 11,3645           23707                                    3/4                                   
056092,000806: 11,3646           60325                           PDDL     NORM                                  
056093,000807: 11,3647           00045                                    36D                                   
056094,000808: 11,3650           00052                                    S2                                    
056095,000809: 11,3651           63406                           PUSH     DSQ                                   
056096,000810: 11,3652           77605                           DMP                                            
056097,000811: 11,3653           65301                           NORM     PDDL                                  
056098,000812: 11,3654           00043                                    34D                                   
056099,000813: 11,3655           02210                                    BETAM                                 
056100,000814: 11,3656           56342                           SR1      DDV                                   
056101,000815: 11,3657           77761                           VXSC                                           
056102,000816: 11,3660           57154                           LXA,2    XAD,2                                 
056103,000817: 11,3661           00051                                    S2                                    
056104,000818: 11,3662           00051                                    S2                                    
056105,000819: 11,3663           57074                           XAD,2    XAD,2                                 
056106,000820: 11,3664           00051                                    S2                                    
056107,000821: 11,3665           00042                                    34D                                   
056108,000822: 11,3666           43457                           VSL*     RVQ                                   

Page 1317

056110,000824: 11,3667           57606                                    0          -8D,2                      
056111,000825: 11,2000                                           SETLOC   ORBITAL1                              
056112,000826: 11,2000                                           BANK                                           
056113,000827: 
056114,000828: 11,3670           04631 23146  3/5                2DEC     .6         B-2                        
056115,000829: 11,3672           14000 00000  THREE/8            2DEC     .375                                  
056116,000830: 11,3674           02314 31463  .3D                2DEC     .3         B-2                        
056117,000831: 11,3676           01400 00000  3/64               2DEC     3          B-6                        
056118,000832: 11,3700           10000 00000  DP1/4              2DEC     .25                                   
056119,000833: 11,3702  11,3700               DQUARTER           EQUALS   DP1/4                                 
056120,000834: 11,3702  11,3700               POS1/4             EQUALS   DP1/4                                 
056121,000835: 11,3702           03000 00000  3/32               2DEC     3          B-5                        
056122,000836: 11,3704           36000 00000  15/16              2DEC     15.        B          -4              
056123,000837: 11,3706           30000 00000  3/4                2DEC     3.0        B          -2              
056124,000838: 11,3710           22525 12525  7/12               2DEC     .5833333333                            
056125,000839: 11,3712           22000 00000  9/16               2DEC     9          B          -4              
056126,000840: 11,3714           01200 00000  5/128              2DEC     5          B-7                        
056127,000841: 11,3716  04,3452               DPZERO             EQUALS   ZEROVEC                               
056128,000842: 11,3716           25252 25253  DP2/3              2DEC     .6666666667                            
056129,000843: 11,3720  11,3716               2/3                EQUALS   DP2/3                                 
056130,000844: 11,3720           00027        OCT27              OCT      27                                    
056131,000845:                                                                                                  #  LM504 IS TEMPORARY
056132,000846: 13,3712                                           BANK     13                                    
056133,000847: 13,2000                                           SETLOC   ORBITAL2                              
056134,000848: 13,2000                                           BANK                                           
056135,000849:                                                                                                  #  IT IS VITAL THAT THE FOLLOWING CONSTANTS NOT BE SHUFFLED
056136,000850: 13,3712           77764                           DEC      -11        B-14                       
056137,000851: 13,3713           77775                           DEC      -2         B-14                       
056138,000852: 13,3714           77766                           DEC      -9         B-14                       
056139,000853: 13,3715           77771                           DEC      -6         B-14                       
056140,000854: 13,3716           77775                           DEC      -2         B-14                       
056141,000855: 13,3717           77775                           DEC      -2         B-14                       
056142,000856: 13,3720           00000                           DEC      0          B-14                       
056143,000857: 13,3721           77763                           DEC      -12        B-14                       
056144,000858: 13,3722           77766                           DEC      -9         B-14                       
056145,000859: 13,3723           77773                           DEC      -4         B-14                       
056146,000860: 13,3724           77770        ASCALE             DEC      -7         B-14                       
056147,000861: 13,3725           77771                           DEC      -6         B-14                       

Page 1318

056149,000863: 13,3726           27446 14620                     2DEC*    1.32715445 E16        B-54*           #  S
056150,000864: 13,3730           16471 01352                     2DEC*    4.9027780  E8         B-30*           #  M
056151,000865: 13,3732           22437 16067  MUEARTH            2DEC*    3.986032   E10        B-36*           
056152,000866: 13,3734           00000 00000                     2DEC     0          B-28                       
056153,000867: 13,3736           02302 24736  J4REQ/J3           2DEC*    .4991607391 E7         B-26*           
056154,000868: 13,3740           00000 00000                     2DEC     0          B-28                       
056155,000869: 13,3742           77776 53032  2J3RE/J2           2DEC*    -.1355426363 E5         B-27*           
056156,000870: 13,3744           10407 05344                     2DEC*    .3067493316 E18        B-60*           
056157,000871: 13,3746           13710 35320  J2REQSQ            2DEC*    1.75501139 E21        B-72*           
056158,000872: 13,3750           12160 12124  3J22R2MU           2DEC*    9.20479048 E16        B-58*           
056159,000873: 13,3752           24000 00000  5/8                2DEC     5          B-3                        
056160,000874: 13,3754           74631 63145  -1/12              2DEC     -.1                                   
056161,000875: 13,3756  13,3730               MUM                =        MUEARTH    -2                         
056162,000876: 13,3756           00243 32703  RECRATIO           2DEC     .01                                   
056163,000877: 13,3760           03654 21000  RSPHERE            2DEC     64373.76   E3         B-29            
056164,000878: 13,3762           03654 21000  RDM                2DEC     16093.44   E3         B-27            
056165,000879: 13,3764           04627 25200  RDE                2DEC     80467.20   E3         B-29            
056166,000880: 13,3766                        RATT               EQUALS   00                                    
056167,000881: 13,3766                        VATT               EQUALS   6D                                    
056168,000882: 13,3766                        TAT                EQUALS   12D                                   
056169,000883: 13,3766                        RATT1              EQUALS   14D                                   
056170,000884: 13,3766                        VATT1              EQUALS   20D                                   
056171,000885: 13,3766                        MU(P)              EQUALS   26D                                   
056172,000886: 13,3766                        TDEC1              EQUALS   32D                                   
056173,000887: 13,3766                        URPV               EQUALS   14D                                   
056174,000888: 13,3766     0022               COSPHI/2           EQUALS   URPV       +4                         
056175,000889: 13,3766                        UZ                 EQUALS   20D                                   
056176,000890: 13,3766                        TVEC               EQUALS   26D                                   

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