Source Code

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

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

057215,000002:                                                                                                  ## Copyright:   Public domain.
057216,000003:                                                                                                  ## Filename:    ORBITAL_INTEGRATION.agc
057217,000004:                                                                                                  ## Purpose:     Part of the source code for Artemis (i.e., Colossus 3),
057218,000005:                                                                                                  ##              build 072.  This is for the Command Module's (CM)
057219,000006:                                                                                                  ##              Apollo Guidance Computer (AGC), for
057220,000007:                                                                                                  ##              Apollo 15-17.
057221,000008:                                                                                                  ## Assembler:   yaYUL
057222,000009:                                                                                                  ## Contact:     Jim Lawton <jim DOT lawton AT gmail DOT com>
057223,000010:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
057224,000011:                                                                                                  ## Page Scans:  www.ibiblio.org/apollo/ScansForConversion/Artemis072/
057225,000012:                                                                                                  ## Mod history: 2009-08-21 JL   Adapted from corresponding Comanche 055 file.
057226,000013:                                                                                                  ##              2010-02-20 RSB  Un-##'d this header.
057227,000014:                                                                                                  ##              2017-02-05 RSB  Proofed comment text by diff'ing vs Comanche 55
057228,000015:                                                                                                  ##                              and corrected errors found.
057229,000016:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified by 4-way diff'ing
057230,000017:                                                                                                  ##                              of Colossus 237 & 249, Comanche 55, and Artemis 72.
057231,000018: 

Page 1333

057233,000020:                                                                                                  #  DELETE
057234,000021: 11,2000                                           SETLOC   ORBITAL                               
057235,000022: 11,2000                                           BANK                                           
057236,000023: 11,2336                                           COUNT*   $$/ORBIT                              
057237,000024: 
057238,000025:                                                                                                  #  DELETE
057239,000026: 11,2336           40354        KEPPREP            LXA,2    SETPD                                 
057240,000027: 11,2337           02150                                    PBODY                                 
057241,000028: 11,2340           00001                                    0                                     
057242,000029: 11,2341           75543                           DLOAD*   SQRT                                  #  SQRT(MU) (+18 OR +15)         0D      PL 2D
057243,000030: 11,2342           50037                                    MUEARTH,2                             
057244,000031: 11,2343           53515                           PDVL     UNIT                                  #                                        PL 8D
057245,000032: 11,2344           01535                                    RCV                                   
057246,000033: 11,2345           60325                           PDDL     NORM                                  #  NORM R (+29 OR +27 - N1)      2D      PL 4D
057247,000034: 11,2346           00045                                    36D                                   
057248,000035: 11,2347           00047                                    X1                                    
057249,000036: 11,2350           77715                           PDVL                                           
057250,000037: 11,2351           65241                           DOT      PDDL                                  #  F*SQRT(MU) (+7 OR +5)         4D      PL 6D
057251,000038: 11,2352           01543                                    VCV                                   
057252,000039: 11,2353           02303                                    TAU.                                  #  (+28)
057253,000040: 11,2354           60225                           DSU      NORM                                  
057254,000041: 11,2355           01551                                    TC                                    
057255,000042: 11,2356           00051                                    S1                                    
057256,000043: 11,2357           77742                           SR1                                            
057257,000044: 11,2360           65271                           DDV      PDDL                                  
057258,000045: 11,2361           00003                                    2D                                    
057259,000046: 11,2362           41405                           DMP      PUSH                                  #  FS (+6 +N1-N2)                6D      PL 8D
057260,000047: 11,2363           00005                                    4D                                    
057261,000048: 11,2364           65316                           DSQ      PDDL                                  #  (FS)SQ (+12 +2(N1-N2))        8D      PL 10D
057262,000049: 11,2365           00005                                    4D                                    
057263,000050: 11,2366           64716                           DSQ      PDDL*                                 #  SSQ/MU (-2 OR +2(N1-N2))      10D     PL 12D
057264,000051: 11,2367           50037                                    MUEARTH,2                             
057265,000052: 11,2370           40442                           SR3      SR4                                   
057266,000053: 11,2371           47515                           PDVL     VSQ                                   #  PREALIGN MU (+43 OR +37)      12D     PL 14D
057267,000054: 11,2372           01543                                    VCV                                   
057268,000055: 11,2373           44205                           DMP      BDSU                                  #                                        PL 12D
057269,000056: 11,2374           00045                                    36D                                   
057270,000057: 11,2375           41271                           DDV      DMP                                   #                                        PL 10D
057271,000058: 11,2376           00003                                    2D                                    #  -(1/R-ALPHA) (+12 +3N1-2N2)
057272,000059: 11,2377           53605                           DMP      SL*                                   
057273,000060: 11,2400           23771                                    DP2/3                                 
057274,000061: 11,2401           20176                                    0          -3,1                       #  10L(1/R-ALPHA) (+13 +2(N1-N2))
057275,000062: 11,2402           43260                           XSU,1    DAD                                   #  2(FS)SQ - ETCETRA                     PL 8D
057276,000063: 11,2403           00050                                    S1                                    #  X1 = N2-N1
057277,000064: 11,2404           45257                           SL*      DSU                                   #  -FS+2(FS)SQ ETC (+6 +N1-N2)           PL 6D
057278,000065: 11,2405           20211                                    8D,1                                  
057279,000066: 11,2406           41205                           DMP      DMP                                   
057280,000067: 11,2407           00001                                    0D                                    
057281,000068: 11,2410           00005                                    4D                                    
057282,000069: 11,2411           53657                           SL*      SL*                                   
057283,000070: 11,2412           20211                                    8D,1                                  

Page 1334

057285,000072: 11,2413           20201                                    0,1                                   #  S(-FS(1-2FS)-1/6...) (+17 OR +16)
057286,000073: 11,2414           65215                           DAD      PDDL                                  #                                        PL 6D
057287,000074: 11,2415           01553                                    XKEP                                  
057288,000075: 11,2416           53605                           DMP      SL*                                   #  S(+17 OR +16)
057289,000076: 11,2417           00001                                    0D                                    
057290,000077: 11,2420           20202                                    1,1                                   
057291,000078: 11,2421           43204                           BOVB     DAD                                   
057292,000079: 11,2422           57544                                    TCDANZIG                              
057293,000080: 11,2423           77626                           STADR                                          
057294,000081: 11,2424           75500                           STORE    XKEPNEW                               
057295,000082: 11,2425           74020                           STQ      AXC,1                                 
057296,000083: 11,2426           02267                                    KEPRTN                                
057297,000084: 11,2427           00012                           DEC      10         B-14                       
057298,000085: 11,2430           74014                           BON      AXC,1                                 
057299,000086: 11,2431           00303                                    MOONFLAG                              
057300,000087: 11,2432           24077                                    KEPLERN                               
057301,000088: 11,2433           00002                           DEC      2          B-14                       
057302,000089: 11,2434           77650                           GOTO                                           
057303,000090: 11,2435           24077                                    KEPLERN                               
057304,000091: 

Page 1335

057306,000093: 11,2436           66350        FBR3               LXA,1    SSP                                   
057307,000094: 11,2437           01500                                    DIFEQCNT                              
057308,000095: 11,2440           00051                                    S1                                    
057309,000096: 11,2441           77762                           DEC      -13        B-14                       
057310,000097: 11,2442           54345                           DLOAD    SR                                    
057311,000098: 11,2443           02305                                    DT/2                                  
057312,000099: 11,2444           20612                                    9D                                    
057313,000100: 11,2445           61500                           TIX,1    ROUND                                 
057314,000101: 11,2446           22447                                    +1                                    
057315,000102: 11,2447           43206                           PUSH     DAD                                   
057316,000103: 11,2450           01551                                    TC                                    
057317,000104: 11,2451           16303                           STODL    TAU.                                  
057318,000105: 11,2452           77615                           DAD                                            
057319,000106: 11,2453           01517                                    TET                                   
057320,000107: 11,2454           35517                           STCALL   TET                                   
057321,000108: 11,2455           22336                                    KEPPREP                               
057322,000109: 

Page 1336

057324,000111: 
057325,000112:                                                                                                  #  AGC ROUTINE TO COMPUTE ACCELERATION COMPONENTS.
057326,000113: 
057327,000114: 11,2456           73150        ACCOMP             LXA,1    LXA,2                                 
057328,000115: 11,2457           02150                                    PBODY                                 
057329,000116: 11,2460           02150                                    PBODY                                 
057330,000117: 11,2461           77775                           VLOAD                                          
057331,000118: 11,2462           11762                                    ZEROVEC                               
057332,000119: 11,2463           26202                           STOVL    FV                                    
057333,000120: 11,2464           02152                                    ALPHAV                                
057334,000121: 11,2465           53257                           VSL*     VAD                                   
057335,000122: 11,2466           57605                                    0          -7,2                       
057336,000123: 11,2467           01535                                    RCV                                   
057337,000124: 11,2470           02160                           STORE    BETAV                                 
057338,000125: 11,2471           65014                           BOF      XCHX,2                                
057339,000126: 11,2472           01756                                    DIM0FLAG                              
057340,000127: 11,2473           22500                                    +5                                    
057341,000128: 11,2474           01500                                    DIFEQCNT                              
057342,000129: 11,2475           12216                           STORE    VECTAB,2                              
057343,000130: 11,2476           77724                           XCHX,2                                         
057344,000131: 11,2477           01500                                    DIFEQCNT                              
057345,000132: 11,2500           53575                           VLOAD    UNIT                                  
057346,000133: 11,2501           02152                                    ALPHAV                                
057347,000134: 11,2502           16152                           STODL    ALPHAV                                
057348,000135: 11,2503           00045                                    36D                                   
057349,000136: 11,2504           02301                           STORE    ALPHAM                                
057350,000137: 11,2505           77624                           CALL                                           
057351,000138: 11,2506           22602                                    GAMCOMP                               
057352,000139: 11,2507           66175                           VLOAD    SXA,1                                 
057353,000140: 11,2510           02160                                    BETAV                                 
057354,000141: 11,2511           00051                                    S2                                    
057355,000142: 11,2512           16152                           STODL    ALPHAV                                
057356,000143: 11,2513           02210                                    BETAM                                 
057357,000144: 11,2514           02301                           STORE    ALPHAM                                
057358,000145: 11,2515           71214                           BOF      DLOAD                                 
057359,000146: 11,2516           00342                                    MIDFLAG                               
057360,000147: 11,2517           22754                                    OBLATE                                
057361,000148: 11,2520           01517                                    TET                                   
057362,000149: 11,2521           77624                           CALL                                           
057363,000150: 11,2522           54136                                    LSPOS                                 
057364,000151: 11,2523           72174                           AXT,2    LXA,1                                 
057365,000152: 11,2524           00002                                    2                                     
057366,000153: 11,2525           00051                                    S2                                    
057367,000154: 11,2526           77614                           BOF                                            
057368,000155: 11,2527           00343                                    MOONFLAG                              
057369,000156: 11,2530           22533                                    +3                                    
057370,000157: 11,2531           77076                           VCOMP    AXT,2                                 
057371,000158: 11,2532           00000                                    0                                     
057372,000159: 11,2533           02160                           STORE    BETAV                                 
057373,000160: 11,2534           26262                           STOVL    RPQV                                  

Page 1337

057375,000162: 11,2535           00003                                    2D                                    
057376,000163: 11,2536           02271                           STORE    RPSV                                  
057377,000164: 11,2537           77214                           BOF      VLOAD                                 
057378,000165: 11,2540           01756                                    DIM0FLAG                              
057379,000166: 11,2541           22554                                    GETRPSV                               
057380,000167: 11,2542           02152                                    ALPHAV                                
057381,000168: 11,2543           53761                           VXSC     VSR*                                  
057382,000169: 11,2544           02301                                    ALPHAM                                
057383,000170: 11,2545           57175                                    1,2                                   
057384,000171: 11,2546           65051                           VSU      XCHX,2                                
057385,000172: 11,2547           02160                                    BETAV                                 
057386,000173: 11,2550           01500                                    DIFEQCNT                              
057387,000174: 11,2551           12224                           STORE    VECTAB     +6,2                       
057388,000175: 11,2552           77724                           XCHX,2                                         
057389,000176: 11,2553           01500                                    DIFEQCNT                              
057390,000177: 11,2554           62175        GETRPSV            VLOAD    INCR,1                                
057391,000178: 11,2555           02262                                    RPQV                                  
057392,000179: 11,2556           00004                                    4                                     
057393,000180: 11,2557           43014                           CLEAR    BOF                                   
057394,000181: 11,2560           04260                                    RPQFLAG                               
057395,000182: 11,2561           00343                                    MOONFLAG                              
057396,000183: 11,2562           22567                                    +5                                    
057397,000184: 11,2563           53261                           VSR      VAD                                   
057398,000185: 11,2564           20612                                    9D                                    
057399,000186: 11,2565           02271                                    RPSV                                  
057400,000187: 11,2566           02271                           STORE    RPSV                                  
057401,000188: 11,2567           77624                           CALL                                           
057402,000189: 11,2570           22602                                    GAMCOMP                               
057403,000190: 11,2571           62174                           AXT,2    INCR,1                                
057404,000191: 11,2572           00004                                    4                                     
057405,000192: 11,2573           00004                                    4                                     
057406,000193: 11,2574           77775                           VLOAD                                          
057407,000194: 11,2575           02271                                    RPSV                                  
057408,000195: 11,2576           36160                           STCALL   BETAV                                 
057409,000196: 11,2577           22602                                    GAMCOMP                               
057410,000197: 11,2600           77650                           GOTO                                           
057411,000198: 11,2601           22754                                    OBLATE                                
057412,000199: 11,2602           74575        GAMCOMP            VLOAD    VSR1                                  
057413,000200: 11,2603           02160                                    BETAV                                 
057414,000201: 11,2604           40236                           VSQ      SETPD                                 
057415,000202: 11,2605           00001                                    0                                     
057416,000203: 11,2606           61501                           NORM     ROUND                                 
057417,000204: 11,2607           00040                                    31D                                   
057418,000205: 11,2610           60325                           PDDL     NORM                                  #  NORMED B SQUARED TO PD LIST
057419,000206: 11,2611           02301                                    ALPHAM                                #  NORMALIZE (LESS ONE) LENGTH OF ALPHA
057420,000207: 11,2612           00041                                    32D                                   #  SAVING NORM SCALE FACTOR IN X1
057421,000208: 11,2613           63342                           SR1      PDVL                                  
057422,000209: 11,2614           02160                                    BETAV                                 #  C(PDL+2) = ALMOST NORMED ALPHA
057423,000210: 11,2615           77656                           UNIT                                           
057424,000211: 11,2616           16160                           STODL    BETAV                                 

Page 1338

057426,000213: 11,2617           00045                                    36D                                   
057427,000214: 11,2620           02210                           STORE    BETAM                                 
057428,000215: 11,2621           55301                           NORM     BDDV                                  #  FORM NORMALIZED QUOTIENT ALPHAM/BETAM
057429,000216: 11,2622           00042                                    33D                                   
057430,000217: 11,2623           41562                           SR1R     PUSH                                  #  C(PDL+2) = ALMOST NORMALIZED RHO.
057431,000218: 11,2624           77743                           DLOAD*                                         
057432,000219: 11,2625           27732                                    ASCALE,1                              
057433,000220: 11,2626           00051                           STORE    S1                                    
057434,000221: 11,2627           57124                           XCHX,2   XAD,2                                 
057435,000222: 11,2630           00050                                    S1                                    
057436,000223: 11,2631           00040                                    32D                                   
057437,000224: 11,2632           71264                           XSU,2    DLOAD                                 
057438,000225: 11,2633           00041                                    33D                                   
057439,000226: 11,2634           00003                                    2D                                    
057440,000227: 11,2635           65057                           SR*      XCHX,2                                
057441,000228: 11,2636           57177                                    0          -1,2                       
057442,000229: 11,2637           00050                                    S1                                    
057443,000230: 11,2640           74406                           PUSH     SR1R                                  #  RHO/4 TO 4D
057444,000231: 11,2641           50315                           PDVL     DOT                                   
057445,000232: 11,2642           02152                                    ALPHAV                                
057446,000233: 11,2643           02160                                    BETAV                                 
057447,000234: 11,2644           44372                           SL1R     BDSU                                  #  (RHO/4) - 2(ALPHAV/2.BETAV/2)
057448,000235: 11,2645           57206                           PUSH     DMPR                                  #  TO PDL+6
057449,000236: 11,2646           00005                                    4                                     
057450,000237: 11,2647           77752                           SL1                                            
057451,000238: 11,2650           43206                           PUSH     DAD                                   
057452,000239: 11,2651           33412                                    DQUARTER                              
057453,000240: 11,2652           75406                           PUSH     SQRT                                  
057454,000241: 11,2653           41475                           DMPR     PUSH                                  
057455,000242: 11,2654           00013                                    10D                                   
057456,000243: 11,2655           43352                           SL1      DAD                                   
057457,000244: 11,2656           33412                                    DQUARTER                              
057458,000245: 11,2657           43325                           PDDL     DAD                                   #  (1/4)+2((Q+1)/4)      TO PD+14D
057459,000246: 11,2660           00013                                    10D                                   
057460,000247: 11,2661           11760                                    HALFDP                                
057461,000248: 11,2662           72475                           DMPR     SL1                                   
057462,000249: 11,2663           00011                                    8D                                    
057463,000250: 11,2664           56215                           DAD      DDV                                   
057464,000251: 11,2665           23747                                    THREE/8                               
057465,000252: 11,2666           00017                                    14D                                   
057466,000253: 11,2667           74275                           DMPR     VXSC                                  
057467,000254: 11,2670           00007                                    6                                     
057468,000255: 11,2671           02160                                    BETAV                                 #                -
057469,000256: 11,2672           64515                           PDVL     VSR3                                  #  (G/2)(C(PD+4))B/2 TO PD+16D
057470,000257: 11,2673           02152                                    ALPHAV                                
057471,000258: 11,2674           41455                           VAD      PUSH                                  #  A12 + C(PD+16D) TO PD+16D
057472,000259: 11,2675           41345                           DLOAD    DMP                                   
057473,000260: 11,2676           00001                                    0                                     
057474,000261: 11,2677           00015                                    12D                                   #  -
057475,000262: 11,2700           61501                           NORM     ROUND                                 

Page 1339

057477,000264: 11,2701           00037                                    30D                                   
057478,000265: 11,2702           40665                           BDDV     DMP*                                  
057479,000266: 11,2703           00003                                    2                                     
057480,000267: 11,2704           50037                                    MUEARTH,2                             
057481,000268: 11,2705           74276                           DCOMP    VXSC                                  
057482,000269: 11,2706           57124                           XCHX,2   XAD,2                                 
057483,000270: 11,2707           00050                                    S1                                    
057484,000271: 11,2710           00051                                    S2                                    
057485,000272: 11,2711           55064                           XSU,2    XSU,2                                 
057486,000273: 11,2712           00036                                    30D                                   
057487,000274: 11,2713           00037                                    31D                                   
057488,000275: 11,2714           77600                           BOV                                            #  CLEAR OVIND
057489,000276: 11,2715           22716                                    +1                                    
057490,000277: 11,2716           65057                           VSR*     XCHX,2                                
057491,000278: 11,2717           57177                                    0          -1,2                       
057492,000279: 11,2720           00050                                    S1                                    
057493,000280: 11,2721           77655                           VAD                                            
057494,000281: 11,2722           02202                                    FV                                    
057495,000282: 11,2723           02202                           STORE    FV                                    
057496,000283: 11,2724           43400                           BOV      RVQ                                   #  RETURN IF NO OVERFLOW
057497,000284: 11,2725           22726                                    +1                                    
057498,000285: 11,2726           51575        GOBAQUE            VLOAD    ABVAL                                 
057499,000286: 11,2727           01521                                    TDELTAV                               
057500,000287: 11,2730           77654                           BZE                                            
057501,000288: 11,2731           22751                                    INT-ABRT                              
057502,000289: 11,2732           54345                           DLOAD    SR                                    
057503,000290: 11,2733           02212                                    H                                     
057504,000291: 11,2734           20612                                    9D                                    
057505,000292: 11,2735           44206                           PUSH     BDSU                                  
057506,000293: 11,2736           01551                                    TC                                    
057507,000294: 11,2737           16303                           STODL    TAU.                                  
057508,000295: 11,2740           01517                                    TET                                   
057509,000296: 11,2741           45425                           DSU      STADR                                 
057510,000297: 11,2742           42260                           STCALL   TET                                   
057511,000298: 11,2743           22336                                    KEPPREP                               
057512,000299: 11,2744           77624                           CALL                                           
057513,000300: 11,2745           23420                                    RECTIFY                               
057514,000301: 11,2746           77614                           SETGO                                          
057515,000302: 11,2747           04020                                    RPQFLAG                               
057516,000303: 11,2750           27364                                    TESTLOOP                              
057517,000304: 
057518,000305: 11,2751           77776        INT-ABRT           EXIT                                           
057519,000306: 11,2752           05726                           TC       POODOO                                
057520,000307: 11,2753           20430                           OCT      20430                                 #  SUB-SURFACE STATE VECTOR
057521,000308: 

Page 1340

057523,000310: 
057524,000311:                                                                                                  #  THE OBLATE ROUTINE COMPUTES THE ACCELERATION DUE TO OBLATENESS. IT USES THE UNIT OF THE VEHICLE
057525,000312:                                                                                                  #  POSITION VECTOR FOUND IN ALPHAV AND THE DISTANCE TO THE CENTER IN ALPHAM. THIS IS ADDED TO THE SUM OF THE
057526,000313:                                                                                                  #  DISTURBING ACCELERATIONS IN FV AND THE PROPER DIFEQ STAGE IS CALLED VIA X1.
057527,000314: 
057528,000315: 11,2754           71354        OBLATE             LXA,2    DLOAD                                 
057529,000316: 11,2755           02150                                    PBODY                                 
057530,000317: 11,2756           02301                                    ALPHAM                                
057531,000318: 11,2757           44601                           SETPD    DSU*                                  
057532,000319: 11,2760           00001                                    0                                     
057533,000320: 11,2761           50007                                    RDE,2                                 
057534,000321: 11,2762           43044                           BPL      BOF                                   #  GET URPV
057535,000322: 11,2763           23212                                    NBRANCH                               
057536,000323: 11,2764           00343                                    MOONFLAG                              
057537,000324: 11,2765           23221                                    COSPHIE                               
057538,000325: 11,2766           65375                           VLOAD    PDDL                                  
057539,000326: 11,2767           02152                                    ALPHAV                                
057540,000327: 11,2770           01517                                    TET                                   
057541,000328: 11,2771           45125                           PDDL     CALL                                  
057542,000329: 11,2772           23745                                    3/5                                   
057543,000330: 11,2773           55370                                    R-TO-RP                               
057544,000331: 11,2774           24017                           STOVL    URPV                                  #  RP/R  B-1     IN PLANETARY COORDINATES
057545,000332: 11,2775           11754                                    ZUNIT                                 
057546,000333: 11,2776           45006                           PUSH     CALL                                  #  ZUNIT B-1     IN PLANETARY COORDL      AT 00D
057547,000334: 11,2777           23227                                    MATRIX                                
057548,000335: 11,3000           77715                           PDVL                                           #  UZ    B-2     IN INERT COORD           AT 00D
057549,000336: 11,3001           11760                                    XUNIT                                 
057550,000337: 11,3002           45006                           PUSH     CALL                                  #  XUNIT B-1     IN PLANETARY COORD.      AT 06D
057551,000338: 11,3003           23227                                    MATRIX                                
057552,000339: 11,3004           77772                           VSL1                                           
057553,000340: 11,3005           24041                           STOVL    32D                                   #  UX    B-1     IN INERT. COORD          AT 32D
057554,000341: 11,3006           77772                           VSL1                                           
057555,000342: 11,3007           14025        COMTERM            STODL    UZ                                    #  UZ    B-1     IN INERTIAL COORD        AT 20D
057556,000343: 11,3010           00023                                    COSPHI/2                              #   '            Z-COMPONENT OF URPV
057557,000344: 11,3011           65275                           DMPR     PDDL                                  #  P     B-6      ,  3COSPHI/64           AT 00D
057558,000345: 11,3012           23755                                    3/32                                  #   2
057559,000346: 11,3013           00023                                    COSPHI/2                              
057560,000347: 11,3014           57316                           DSQ      DMPR                                  
057561,000348: 11,3015           23757                                    15/16                                 #   '                            2
057562,000349: 11,3016           41425                           DSU      PUSH                                  #  P     B-5      ,(1/2)(15COSPHI -3)     AT 02D
057563,000350: 11,3017           23753                                    3/64                                  #   3
057564,000351: 11,3020           41275                           DMPR     DMP                                   
057565,000352: 11,3021           00023                                    COSPHI/2                              
057566,000353: 11,3022           23763                                    7/12                                  
057567,000354: 11,3023           65372                           SL1R     PDDL                                  
057568,000355: 11,3024           00001                                    0D                                    
057569,000356: 11,3025           44275                           DMPR     BDSU                                  
057570,000357: 11,3026           23771                                    2/3                                   #   '                             '    '
057571,000358: 11,3027           57206                           PUSH     DMPR                                  #  P     B-7      ,(1/3)(7COSPHI P  -4P ) AT 04D
057572,000359: 11,3030           00023                                    COSPHI/2                              #   4                             3    2
057573,000360: 11,3031           65275                           DMPR     PDDL                                  
057574,000361: 11,3032           23765                                    9/16                                  

Page 1341

057576,000363: 11,3033           00003                                    2D                                    #   '                             '    '
057577,000364: 11,3034           44275                           DMPR     BDSU                                  #  P     B-10     ,(1/4)(9COSPHI P  -5P )
057578,000365: 11,3035           23767                                    5/128                                 #   5                             4    3
057579,000366: 11,3036           56203                           DMP*     DDV                                   #                             '
057580,000367: 11,3037           50033                                    J4REQ/J3,2                            #        B-       ,(J RP/J R)P
057581,000368: 11,3040           02301                                    ALPHAM                                #                    4    3   5
057582,000369: 11,3041           56615                           DAD      DMPR*                                 
057583,000370: 11,3042           00005                                    4D                                    #                        2     2  '              '
057584,000371: 11,3043           50027                                    2J3RE/J2,2                            #        B        ,(2J RP /J2 R )P  +(2J RP/J2R)P
057585,000372: 11,3044           43271                           DDV      DAD                                   #                     4           5     3        4
057586,000373: 11,3045           02301                                    ALPHAM                                #   -        2 '  2         '        '
057587,000374: 11,3046           00003                                    2D                                    #  (R/R)(J RP P /R + 2J RP P /  + J P )
057588,000375: 11,3047           77761                           VXSC                                           #         4    5       3    4  2   2 3
057589,000376: 11,3050           02152                                    ALPHAV                                #                    4       2  '           -
057590,000377: 11,3051           14033                           STODL    TVEC                                  #        B-6     , (SUM((J /R )P   (COSPHI))UR)
057591,000378: 11,3052           70403                           DMP*     SR1                                   #                   I=2   I     I+1
057592,000379: 11,3053           50033                                    J4REQ/J3,2                            #                           '
057593,000380: 11,3054           43271                           DDV      DAD                                   #                (J RP/J R)P
057594,000381: 11,3055           02301                                    ALPHAM                                #                  4    3   4
057595,000382: 11,3056           50473                           DMPR*    SR3                                   #              2    2  '              '
057596,000383: 11,3057           50027                                    2J3RE/J2,2                            #        (2J RP /J R )P  +(2J RP/J R)P
057597,000384: 11,3060           43271                           DDV      DAD                                   #           4     2    4     3    2   3
057598,000385: 11,3061           02301                                    ALPHAM                                #  
057599,000386: 11,3062           76561                           VXSC     VSL1                                  #                 4   '        -
057600,000387: 11,3063           00025                                    UZ                                    #        B-6     SUM(P(COSPHI))UZ
057601,000388: 11,3064           77645                           BVSU                                           #                I=2  I
057602,000389: 11,3065           00033                                    TVEC                                  #   4              I-2   '          -
057603,000390: 11,3066           14033                           STODL    TVEC                                  #  SUM((MU J (RP/R)   )(P   (COSPHI)UR -
057604,000391: 11,3067           02301                                    ALPHAM                                #  I=2      I            I+2
057605,000392: 11,3070           63501                           NORM     DSQ                                   #              P (COSPHI)UZ))    B-6     AT 20D
057606,000393: 11,3071           00047                                    X1                                    #               I
057607,000394: 11,3072           60316                           DSQ      NORM                                  
057608,000395: 11,3073           00051                                    S1                                    #              4
057609,000396: 11,3074           54606                           PUSH     BDDV*                                 #  NORMALIZED R                          AT 00D
057610,000397: 11,3075           50023                                    J2REQSQ,2                             
057611,000398: 11,3076           40161                           VXSC     BOV                                   
057612,000399: 11,3077           00033                                    TVEC                                  
057613,000400: 11,3100           23101                                    +1                                    #  B+38 FOR EARTH, B+42 FOR MOON
057614,000401: 11,3101           56070                           XAD,1    XAD,1                                 
057615,000402: 11,3102           00046                                    X1                                    
057616,000403: 11,3103           00046                                    X1                                    
057617,000404: 11,3104           53670                           XAD,1    VSL*                                  
057618,000405: 11,3105           00050                                    S1                                    
057619,000406: 11,3106           20153                                    0          -22D,1                     
057620,000407: 11,3107           40055                           VAD      BOV                                   
057621,000408: 11,3110           02202                                    FV                                    
057622,000409: 11,3111           22726                                    GOBAQUE                               
057623,000410: 11,3112           16202                           STODL    FV                                    #  B+16 FOR EARTH, B+20 FOR MOON
057624,000411: 11,3113           00017                                    URPV                                  #  B-1  X-COMPONENT OF POSITION  IN
057625,000412: 11,3114           41414                           BOF      PUSH                                  #            PLANETORY COORD.      AT 02D

Page 1342

057627,000414: 11,3115           00343                                    MOONFLAG                              
057628,000415: 11,3116           23212                                    NBRANCH                               #         2
057629,000416: 11,3117           65316                           DSQ      PDDL                                  #  B-2   X                               AT 04D
057630,000417: 11,3120           00021                                    URPV       +2                         #  B-1   Y-COMPONENT
057631,000418: 11,3121           45316                           DSQ      DSU                                   
057632,000419: 11,3122           74205                           DMP      VXSC                                  
057633,000420: 11,3123           27756                                    5/8                                   #           2  2 -
057634,000421: 11,3124           02152                                    ALPHAV                                #  B-6   5(Y -X )UR         2  2 -
057635,000422: 11,3125           65332                           VSL3     PDDL                                  #  B-3                   5(Y -X )UR      AT 02D
057636,000423: 11,3126           53361                           VXSC     VAD                                   
057637,000424: 11,3127           00041                                    32D                                   #      2  2 -   2         -
057638,000425: 11,3130           47315                           PDVL     VXV                                   #  (5(Y.-X )UR/R ) +(2X/R)UX             AT 02D
057639,000426: 11,3131           00041                                    32D                                   #  B-1    UX
057640,000427: 11,3132           00025                                    UZ                                    #  B-2   -UY =(UX * UZ)
057641,000428: 11,3133           74372                           VSL1     VXSC                                  #  B-3    -(2Y/R)UY
057642,000429: 11,3134           00021                                    URPV       +2                         #            2  2 -   2        -
057643,000430: 11,3135           41455                           VAD      PUSH                                  #  B-3   (5(X -Y )UR/R )+(2X/R)UX -(
057644,000431: 11,3136           77745                           DLOAD                                          #             -
057645,000432: 11,3137           00023                                    COSPHI/2                              #        2Y/R)UY                         AT 02D
057646,000433: 11,3140           41516                           DSQ      PUSH                                  #  B-2   (Z.COMPONENT)                   AT 08D
057647,000434: 11,3141           65205                           DMP      PDDL                                  #                2
057648,000435: 11,3142           27756                                    5/8                                   #  B-5   5COSPHI/2                       AT 08D
057649,000436: 11,3143           43302                           SR2      DAD                                   
057650,000437: 11,3144           00011                                    08D                                   
057651,000438: 11,3145           41221                           BDSU     DMP                                   #                    2
057652,000439: 11,3146           33416                                    D1/32                                 #  B-5   (1 - 7COSPHI )
057653,000440: 11,3147           00017                                    URPV                                  
057654,000441: 11,3150           74205                           DMP      VXSC                                  
057655,000442: 11,3151           27756                                    5/8                                   
057656,000443: 11,3152           02152                                    ALPHAV                                #                        2 -
057657,000444: 11,3153           65272                           VSL5     PDDL                                  #  B-5   (5X/R)(1-7COSPHI )UR            AT 08D
057658,000445: 11,3154           74225                           DSU      VXSC                                  
057659,000446: 11,3155           33416                                    D1/32                                 
057660,000447: 11,3156           00041                                    32D                                   
057661,000448: 11,3157           53372                           VSL1     VAD                                   #                        2 -           -
057662,000449: 11,3160           41325                           PDDL     DMP                                   #  B-5   (5X/R)(1-7COSPHI )UR +(5COSPHI
057663,000450: 11,3161           00017                                    URPV                                  #     -
057664,000451: 11,3162           00023                                    URPV       +4                         #  -1)UX                                 AT 08D
057665,000452: 11,3163           74205                           DMP      VXSC                                  
057666,000453: 11,3164           27756                                    5/8                                   #  B-5   5X Y
057667,000454: 11,3165           00025                                    UZ                                    #          M M
057668,000455: 11,3166           53352                           VSL2     VAD                                   #                        2             2
057669,000456: 11,3167           60325                           PDDL     NORM                                  #  B-5   (5X/R)(1-7COSPHI )UR +(5COSPHI
057670,000457: 11,3170           02301                                    ALPHAM                                #     -          2 -
057671,000458: 11,3171           00050                                    X2                                    #  -1)UX +(10XZ/R )UZ                    AT 08D
057672,000459: 11,3172           67206                           PUSH     SLOAD                                 
057673,000460: 11,3173           01770                                    E32C31RM                              
057674,000461: 11,3174           74271                           DDV      VXSC                                  
057675,000462: 11,3175           63257                           VSL*     PDVL                                  
057676,000463: 11,3176           57601                                    0          -3,2                       

Page 1343

057678,000465: 11,3177           67206                           PUSH     SLOAD                                 
057679,000466: 11,3200           01767                                    E3J22R2M                              
057680,000467: 11,3201           53361                           VXSC     VAD                                   
057681,000468: 11,3202           70257                           VSL*     V/SC                                  
057682,000469: 11,3203           20146                                    0          -27D,1                     #  B+16 OR B+20 (J   + C  )
057683,000470: 11,3204           40055                           VAD      BOV                                   #                 22    31
057684,000471: 11,3205           02202                                    FV                                    
057685,000472: 11,3206           22726                                    GOBAQUE                               
057686,000473: 11,3207           02202                           STORE    FV                                    
057687,000474: 11,3210           77754                           LXA,2                                          
057688,000475: 11,3211           02150                                    PBODY                                 
057689,000476: 11,3212           72135        NBRANCH            SLOAD    LXA,1                                 
057690,000477: 11,3213           01501                                    DIFEQCNT                              
057691,000478: 11,3214           00154                                    MPAC                                  
057692,000479: 11,3215           73205                           DMP      CGOTO                                 
057693,000480: 11,3216           27760                                    -1/12                                 
057694,000481: 11,3217           00155                                    MPAC                                  
057695,000482: 11,3220           23234                                    DIFEQTAB                              
057696,000483: 11,3221           77745        COSPHIE            DLOAD                                          
057697,000484: 11,3222           02156                                    ALPHAV     +4                         
057698,000485: 11,3223           24023                           STOVL    COSPHI/2                              
057699,000486: 11,3224           11754                                    ZUNIT                                 
057700,000487: 11,3225           77650                           GOTO                                           
057701,000488: 11,3226           23007                                    COMTERM                               
057702,000489: 
057703,000490: 11,3227           57435        MATRIX             VXV      VCOMP                                 
057704,000491: 11,3230           02012                                    504LM                                 #  ROUTINE TRANSLATES FROM PLANETARY
057705,000492: 11,3231           77655                           VAD                                            #  TO INERTIAL COORDINATES
057706,000493: 11,3232           43505                           VXM      RVQ                                   
057707,000494: 11,3233           00025                                    MMATRIX                               
057708,000495: 
057709,000496: 11,3234           23445        DIFEQTAB           CADR     DIFEQ+0                               
057710,000497: 11,3235           23451                           CADR     DIFEQ+1                               
057711,000498: 11,3236           23462                           CADR     DIFEQ+2                               
057712,000499: 
057713,000500: 11,3237           45014        TIMESTEP           BOF      CALL                                  
057714,000501: 11,3240           00342                                    MIDFLAG                               
057715,000502: 11,3241           23245                                    RECTEST                               #  SKIP ORIGIN CHANGE LOGIC
057716,000503: 11,3242           23317                                    CHKSWTCH                              
057717,000504: 11,3243           77640                           BMN                                            
057718,000505: 11,3244           23354                                    DOSWITCH                              
057719,000506: 
057720,000507: 11,3245           51575        RECTEST            VLOAD    ABVAL                                 #  RECTIFY IF
057721,000508: 11,3246           01521                                    TDELTAV                               
057722,000509: 11,3247           77600                           BOV                                            
057723,000510: 11,3250           23273                                    CALLRECT                              
057724,000511: 11,3251           51025                           DSU      BPL                                   #        1) EITHER TDELTAV OR TNUV EQUALS OR
057725,000512: 11,3252           23761                                    3/4                                   #           EXCEEDS 3/4 IN MAGNITUDE
057726,000513: 11,3253           23273                                    CALLRECT                              
057727,000514: 11,3254           53615                           DAD      SL*                                   #                        OR

Page 1344

057729,000516: 11,3255           23761                                    3/4                                   
057730,000517: 11,3256           57605                                    0          -7,2                       #        2) ABVAL(TDELTAV) EQUALS OR EXCEEDS
057731,000518: 11,3257           45271                           DDV      DSU                                   #           .01(ABVAL(RCV))
057732,000519: 11,3260           00013                                    10D                                   
057733,000520: 11,3261           27762                                    RECRATIO                              
057734,000521: 11,3262           77244                           BPL      VLOAD                                 
057735,000522: 11,3263           23273                                    CALLRECT                              
057736,000523: 11,3264           01527                                    TNUV                                  
057737,000524: 11,3265           45246                           ABVAL    DSU                                   
057738,000525: 11,3266           23761                                    3/4                                   
057739,000526: 11,3267           77600                           BOV                                            
057740,000527: 11,3270           23273                                    CALLRECT                              
057741,000528: 11,3271           77640                           BMN                                            
057742,000529: 11,3272           23275                                    INTGRATE                              
057743,000530: 11,3273           77624        CALLRECT           CALL                                           
057744,000531: 11,3274           23420                                    RECTIFY                               
057745,000532: 11,3275           77775        INTGRATE           VLOAD                                          
057746,000533: 11,3276           01527                                    TNUV                                  
057747,000534: 11,3277           24763                           STOVL    ZV                                    
057748,000535: 11,3300           01521                                    TDELTAV                               
057749,000536: 11,3301           00755                           STORE    YV                                    
057750,000537: 11,3302           77614                           CLEAR                                          
057751,000538: 11,3303           00261                                    JSWITCH                               
057752,000539: 11,3304           66375        DIFEQ0             VLOAD    SSP                                   
057753,000540: 11,3305           00755                                    YV                                    
057754,000541: 11,3306           01501                                    DIFEQCNT                              
057755,000542: 11,3307           00000                                    0                                     
057756,000543: 11,3310           16152                           STODL    ALPHAV                                
057757,000544: 11,3311           11762                                    DPZERO                                
057758,000545: 11,3312           02212                           STORE    H                                     #  START H AT ZERO. GOES 0(DELT/2)DELT.
057759,000546: 11,3313           52014                           BON      GOTO                                  
057760,000547: 11,3314           00301                                    JSWITCH                               
057761,000548: 11,3315           23664                                    DOW..                                 
057762,000549: 11,3316           22456                                    ACCOMP                                
057763,000550: 
057764,000551: 11,3317           43020        CHKSWTCH           STQ      BOF                                   
057765,000552: 11,3320           02267                                    ORIGEX                                
057766,000553: 11,3321           04340                                    RPQFLAG                               
057767,000554: 11,3322           23332                                    RPQOK                                 #  MOON POSITION IS AVAILABLE
057768,000555: 11,3323           45145                           DLOAD    CALL                                  
057769,000556: 11,3324           01517                                    TET                                   
057770,000557: 11,3325           54141                                    LUNPOS                                #  GET MOON POSITION
057771,000558: 11,3326           57414                           BOF      VCOMP                                 
057772,000559: 11,3327           00343                                    MOONFLAG                              
057773,000560: 11,3330           23331                                    +1                                    
057774,000561: 11,3331           02262                           STORE    RPQV                                  
057775,000562: 11,3332           77354        RPQOK              LXA,2    VLOAD                                 #  RESTORE X2 AFTER USING LUNPOS
057776,000563: 11,3333           02150                                    PBODY                                 
057777,000564: 11,3334           01521                                    TDELTAV                               #   -
057778,000565: 11,3335           53257                           VSL*     VAD                                   #  |RQC|-RSPHERE WHEN OUTSIDE THE SPHERE.

Page 1345

057780,000567: 11,3336           57605                                    0          -7,2                       #  -   -            -
057781,000568: 11,3337           01535                                    RCV                                   #  R = RDEVIATION + RCONIC
057782,000569: 11,3340           51414                           BOF      ABVAL                                 
057783,000570: 11,3341           00343                                    MOONFLAG                              
057784,000571: 11,3342           23347                                    EARSPH                                
057785,000572: 11,3343           44302                           SR2      BDSU                                  #  INSIDE
057786,000573: 11,3344           27764                                    RSPHERE                               
057787,000574: 11,3345           77650                           GOTO                                           
057788,000575: 11,3346           02267                                    ORIGEX                                
057789,000576: 11,3347           51451        EARSPH             VSU      ABVAL                                 #  OUTSIDE
057790,000577: 11,3350           02262                                    RPQV                                  
057791,000578: 11,3351           52025                           DSU      GOTO                                  
057792,000579: 11,3352           27764                                    RSPHERE                               
057793,000580: 11,3353           02267                                    ORIGEX                                
057794,000581: 11,3354           77624        DOSWITCH           CALL                                           
057795,000582: 11,3355           23360                                    ORIGCHNG                              
057796,000583: 11,3356           77650                           GOTO                                           
057797,000584: 11,3357           23275                                    INTGRATE                              
057798,000585: 11,3360           45020        ORIGCHNG           STQ      CALL                                  
057799,000586: 11,3361           02267                                    ORIGEX                                
057800,000587: 11,3362           23420                                    RECTIFY                               
057801,000588: 11,3363           53775                           VLOAD    VSL*                                  
057802,000589: 11,3364           01535                                    RCV                                   
057803,000590: 11,3365           57576                                    0,2                                   
057804,000591: 11,3366           53651                           VSU      VSL*                                  
057805,000592: 11,3367           02262                                    RPQV                                  
057806,000593: 11,3370           57574                                    2,2                                   
057807,000594: 11,3371           01503                           STORE    RRECT                                 
057808,000595: 11,3372           15535                           STODL    RCV                                   
057809,000596: 11,3373           01517                                    TET                                   
057810,000597: 11,3374           77624                           CALL                                           
057811,000598: 11,3375           54144                                    LUNVEL                                
057812,000599: 11,3376           57414                           BOF      VCOMP                                 
057813,000600: 11,3377           00343                                    MOONFLAG                              
057814,000601: 11,3400           23401                                    +1                                    
057815,000602: 11,3401           53715                           PDVL     VSL*                                  
057816,000603: 11,3402           01543                                    VCV                                   
057817,000604: 11,3403           57576                                    0,2                                   
057818,000605: 11,3404           77651                           VSU                                            
057819,000606: 11,3405           77657                           VSL*                                           
057820,000607: 11,3406           57574                                    0          +2,2                       
057821,000608: 11,3407           01511                           STORE    VRECT                                 
057822,000609: 11,3410           01543                           STORE    VCV                                   
057823,000610: 11,3411           67154                           LXA,2    SXA,2                                 
057824,000611: 11,3412           02267                                    ORIGEX                                
057825,000612: 11,3413           00052                                    QPRET                                 
057826,000613: 11,3414           52014                           BON      GOTO                                  
057827,000614: 11,3415           00303                                    MOONFLAG                              
057828,000615: 11,3416           27011                                    CLRMOON                               
057829,000616: 11,3417           27016                                    SETMOON                               
057830,000617: 

Page 1346

057832,000619: 
057833,000620:                                                                                                  #  THE RECTIFY SUBROUTINE IS CALLED BY THE INTEGRATION PROGRAM AND OCCASIONALLY BY THE MEASUREMENT INCORPORATION
057834,000621:                                                                                                  #  ROUTINES TO ESTABLISH A NEW CONIC.
057835,000622: 
057836,000623: 11,3420           77354        RECTIFY            LXA,2    VLOAD                                 
057837,000624: 11,3421           02150                                    PBODY                                 
057838,000625: 11,3422           01521                                    TDELTAV                               
057839,000626: 11,3423           53257                           VSL*     VAD                                   
057840,000627: 11,3424           57605                                    0          -7,2                       
057841,000628: 11,3425           01535                                    RCV                                   
057842,000629: 11,3426           01503                           STORE    RRECT                                 
057843,000630: 11,3427           25535                           STOVL    RCV                                   
057844,000631: 11,3430           01527                                    TNUV                                  
057845,000632: 11,3431           53257                           VSL*     VAD                                   
057846,000633: 11,3432           57602                                    0          -4,2                       
057847,000634: 11,3433           01543                                    VCV                                   
057848,000635: 11,3434           01511        MINIRECT           STORE    VRECT                                 
057849,000636: 11,3435           25543        TINIRECT           STOVL    VCV                                   
057850,000637: 11,3436           11762                                    ZEROVEC                               
057851,000638: 11,3437           01521                           STORE    TDELTAV                               
057852,000639: 11,3440           15527                           STODL    TNUV                                  
057853,000640: 11,3441           11762                                    ZEROVEC                               
057854,000641: 11,3442           01551                           STORE    TC                                    
057855,000642: 11,3443           01553                           STORE    XKEP                                  
057856,000643: 11,3444           77616                           RVQ                                            
057857,000644: 

Page 1347

057859,000646: 
057860,000647:                                                                                                  #  THE THREE DIFEQ ROUTINES - DIFEQ+0, DIFEQ+12, AND DIFEQ+24 - ARE ENTEREDTO PROCESS THE CONTRIBUTIONS AT THE
057861,000648:                                                                                                  #  BEGINNING, MIDDLE, AND END OF THE TIMESTEP, RESPECTIVELY. THE UPDATING IS DONE BY THE NYSTROM METHOD.
057862,000649: 
057863,000650: 11,3445           64575        DIFEQ+0            VLOAD    VSR3                                  
057864,000651: 11,3446           02202                                    FV                                    
057865,000652: 11,3447           36166                           STCALL   PHIV                                  
057866,000653: 11,3450           23625                                    DIFEQCOM                              
057867,000654: 11,3451           74575        DIFEQ+1            VLOAD    VSR1                                  
057868,000655: 11,3452           02202                                    FV                                    
057869,000656: 11,3453           53206                           PUSH     VAD                                   
057870,000657: 11,3454           02166                                    PHIV                                  
057871,000658: 11,3455           26174                           STOVL    PSIV                                  
057872,000659: 11,3456           53362                           VSR1     VAD                                   
057873,000660: 11,3457           02166                                    PHIV                                  
057874,000661: 11,3460           36166                           STCALL   PHIV                                  
057875,000662: 11,3461           23625                                    DIFEQCOM                              
057876,000663: 11,3462           57345        DIFEQ+2            DLOAD    DMPR                                  
057877,000664: 11,3463           02212                                    H                                     
057878,000665: 11,3464           23771                                    DP2/3                                 
057879,000666: 11,3465           74206                           PUSH     VXSC                                  
057880,000667: 11,3466           02166                                    PHIV                                  
057881,000668: 11,3467           53372                           VSL1     VAD                                   
057882,000669: 11,3470           00763                                    ZV                                    
057883,000670: 11,3471           53361                           VXSC     VAD                                   
057884,000671: 11,3472           02212                                    H                                     
057885,000672: 11,3473           00755                                    YV                                    
057886,000673: 11,3474           24755                           STOVL    YV                                    
057887,000674: 11,3475           02202                                    FV                                    
057888,000675: 11,3476           53322                           VSR3     VAD                                   
057889,000676: 11,3477           02174                                    PSIV                                  
057890,000677: 11,3500           76561                           VXSC     VSL1                                  
057891,000678: 11,3501           77655                           VAD                                            
057892,000679: 11,3502           00763                                    ZV                                    
057893,000680: 11,3503           00763                           STORE    ZV                                    
057894,000681: 11,3504           45014                           BOFF     CALL                                  
057895,000682: 11,3505           00341                                    JSWITCH                               
057896,000683: 11,3506           23556                                    ENDSTATE                              
057897,000684: 11,3507           22327                                    GRP2PC                                
057898,000685: 11,3510           77354                           LXA,2    VLOAD                                 
057899,000686: 11,3511           00770                                    COLREG                                
057900,000687: 11,3512           00763                                    ZV                                    
057901,000688: 11,3513           77732                           VSL3                                           #  ADJUST W-POSITION FOR STORAGE
057902,000689: 11,3514           12467                           STORE    W          +54D,2                     
057903,000690: 11,3515           77775                           VLOAD                                          
057904,000691: 11,3516           00755                                    YV                                    
057905,000692: 11,3517           40132                           VSL3     BOV                                   
057906,000693: 11,3520           23650                                    WMATEND                               
057907,000694: 11,3521           12401                           STORE    W,2                                   
057908,000695: 
057909,000696: 11,3522           77624                           CALL                                           
057910,000697: 11,3523           22327                                    GRP2PC                                

Page 1348

057912,000699: 11,3524           66354                           LXA,2    SSP                                   
057913,000700: 11,3525           00770                                    COLREG                                
057914,000701: 11,3526           00052                                    S2                                    
057915,000702: 11,3527           00000                                    0                                     
057916,000703: 11,3530           67114                           INCR,2   SXA,2                                 
057917,000704: 11,3531           00006                                    6                                     
057918,000705: 11,3532           00754                                    YV                                    
057919,000706: 11,3533           45104                           TIX,2    CALL                                  
057920,000707: 11,3534           23621                                    RELOADSV                              
057921,000708: 11,3535           22327                                    GRP2PC                                
057922,000709: 11,3536           67154                           LXA,2    SXA,2                                 
057923,000710: 11,3537           00754                                    YV                                    
057924,000711: 11,3540           00770                                    COLREG                                
057925,000712: 
057926,000713: 11,3541           77624        NEXTCOL            CALL                                           
057927,000714: 11,3542           22327                                    GRP2PC                                
057928,000715: 11,3543           76754                           LXA,2    VLOAD*                                
057929,000716: 11,3544           00770                                    COLREG                                
057930,000717: 11,3545           75376                                    W,2                                   
057931,000718: 11,3546           77722                           VSR3                                           #  ADJUST W-POSITION FOR INTEGRATION
057932,000719: 11,3547           00755                           STORE    YV                                    
057933,000720: 11,3550           76173                           VLOAD*   AXT,1                                 
057934,000721: 11,3551           75310                                    W          +54D,2                     
057935,000722: 11,3552           00000                                    0                                     
057936,000723: 11,3553           77722                           VSR3                                           #  ADJUST W-VELOCITY FOR INTEGRATION
057937,000724: 11,3554           34763                           STCALL   ZV                                    
057938,000725: 11,3555           23304                                    DIFEQ0                                
057939,000726: 
057940,000727: 11,3556           77200        ENDSTATE           BOV      VLOAD                                 
057941,000728: 11,3557           22726                                    GOBAQUE                               
057942,000729: 11,3560           00763                                    ZV                                    
057943,000730: 11,3561           25527                           STOVL    TNUV                                  
057944,000731: 11,3562           00755                                    YV                                    
057945,000732: 11,3563           01521                           STORE    TDELTAV                               
057946,000733: 11,3564           43014                           BON      BOFF                                  
057947,000734: 11,3565           04715                                    MIDAVFLG                              
057948,000735: 11,3566           27656                                    CKMID2                                #  CHECK FOR MID2 BEFORE GOING TO TIMEINC
057949,000736: 11,3567           01756                                    DIM0FLAG                              
057950,000737: 11,3570           27364                                    TESTLOOP                              
057951,000738: 11,3571           77776                           EXIT                                           
057952,000739: 11,3572           05402                           TC       PHASCHNG                              
057953,000740: 11,3573           04022                           OCT      04022                                 #  PHASE 1
057954,000741: 11,3574           05547                           TC       UPFLAG                                #  PHASE CHANGE HAS OCCURRED BETWEEN
057955,000742: 11,3575           00230                           ADRES    REINTFLG                              #  INTSTALL AND INTWAKE
057956,000743: 11,3576           06006                           TC       INTPRET                               
057957,000744: 11,3577           77731                           SSP                                            
057958,000745: 11,3600           00053                                    QPRET                                 
057959,000746: 11,3601           23606                                    AMOVED                                
057960,000747: 11,3602           52014                           BON      GOTO                                  
057961,000748: 11,3603           01714                                    VINTFLAG                              

Page 1349

057963,000750: 11,3604           26761                                    ATOPCSM                               
057964,000751: 11,3605           27034                                    ATOPLEM                               
057965,000752: 11,3606           66214        AMOVED             SET      SSP                                   
057966,000753: 11,3607           00061                                    JSWITCH                               
057967,000754: 11,3610           00771                                    COLREG                                
057968,000755: 11,3611           77741                           DEC      -30        B-14                       
057969,000756: 11,3612           66214                           BOFF     SSP                                   
057970,000757: 11,3613           01755                                    D6OR9FLG                              
057971,000758: 11,3614           23541                                    NEXTCOL                               
057972,000759: 11,3615           00771                                    COLREG                                
057973,000760: 11,3616           77717                           DEC      -48        B-14                       
057974,000761: 11,3617           77650                           GOTO                                           
057975,000762: 11,3620           23541                                    NEXTCOL                               
057976,000763: 
057977,000764: 
057978,000765: 11,3621           77745        RELOADSV           DLOAD                                          #  RELOAD TEMPORARY STATE VECTOR
057979,000766: 11,3622           00745                                    TDEC                                  #  FROM PERMANENT IN CASE OF
057980,000767: 11,3623           34041                           STCALL   TDEC1                                 
057981,000768: 11,3624           27243                                    INTEGRV2                              #  BY STARTING AT INTEGRV2.
057982,000769: 11,3625           43345        DIFEQCOM           DLOAD    DAD                                   #  INCREMENT H AND DIFEQCNT.
057983,000770: 11,3626           02305                                    DT/2                                  
057984,000771: 11,3627           02212                                    H                                     
057985,000772: 11,3630           66110                           INCR,1   SXA,1                                 
057986,000773: 11,3631           77763                           DEC      -12        B-14                       
057987,000774: 11,3632           01500                                    DIFEQCNT                              #  DIFEQCNT SET FOR NEXT ENTRY.
057988,000775: 11,3633           02212                           STORE    H                                     
057989,000776: 11,3634           74561                           VXSC     VSR1                                  
057990,000777: 11,3635           02202                                    FV                                    
057991,000778: 11,3636           74255                           VAD      VXSC                                  
057992,000779: 11,3637           00763                                    ZV                                    
057993,000780: 11,3640           02212                                    H                                     
057994,000781: 11,3641           77655                           VAD                                            
057995,000782: 11,3642           00755                                    YV                                    
057996,000783: 11,3643           02152                           STORE    ALPHAV                                
057997,000784: 11,3644           52014                           BON      GOTO                                  
057998,000785: 11,3645           00301                                    JSWITCH                               
057999,000786: 11,3646           23664                                    DOW..                                 
058000,000787: 11,3647           22436                                    FBR3                                  
058001,000788: 
058002,000789: 11,3650           43014        WMATEND            CLEAR    CLEAR                                 
058003,000790: 11,3651           01676                                    DIM0FLAG                              #  DONT INTEGRATE W THIS TIME
058004,000791: 11,3652           01671                                    ORBWFLAG                              #  INVALIDATE W
058005,000792: 11,3653           77614                           CLEAR                                          
058006,000793: 11,3654           02676                                    RENDWFLG                              
058007,000794: 11,3655           77414                           SET      EXIT                                  
058008,000795: 11,3656           01472                                    STATEFLG                              #  PICK UP STATE VECTOR UPDATE
058009,000796: 11,3657           05671                           TC       ALARM                                 
058010,000797: 11,3660           00421                           OCT      421                                   
058011,000798: 11,3661           06006                           TC       INTPRET                               

Page 1350

058013,000800: 11,3662           77650                           GOTO                                           
058014,000801: 11,3663           27364                                    TESTLOOP                              #  FINISH INTEGRATING STATE VECTOR
058015,000802: 

Page 1351

058017,000804: 
058018,000805:                                                                                                  #  ORBITAL ROUTINE FOR EXTRAPOLATION OF THE W MATRIX. IT COMPUTES THE SECOND DERIVATIVE OF EACH COLUMN POSITION
058019,000806:                                                                                                  #  VECTOR OF THE MATRIX AND CALLS THE NYSTROM INTEGRATION ROUTINES TO SOLVE THE DIFFERENTIAL EQUATIONS. THE PROGRAM
058020,000807:                                                                                                  #  USES A TABLE OF VEHICLE POSITION VECTORS COMPUTED DURING THE INTEGRATION OF THE VEHICLES POSITION AND VELOCITY.
058021,000808: 
058022,000809: 11,3664           70754        DOW..              LXA,2    DLOAD*                                
058023,000810: 11,3665           02150                                    PBODY                                 
058024,000811: 11,3666           50037                                    MUEARTH,2                             
058025,000812: 11,3667           36210                           STCALL   BETAM                                 
058026,000813: 11,3670           23712                                    DOW..1                                
058027,000814: 11,3671           02202                           STORE    FV                                    
058028,000815: 11,3672           62014                           BOF      INCR,1                                
058029,000816: 11,3673           00342                                    MIDFLAG                               
058030,000817: 11,3674           23212                                    NBRANCH                               
058031,000818: 11,3675           77771                           DEC      -6         B-14                       
058032,000819: 11,3676           70744                           LXC,2    DLOAD*                                
058033,000820: 11,3677           02150                                    PBODY                                 
058034,000821: 11,3700           50041                                    MUEARTH    -2,2                       
058035,000822: 11,3701           36210                           STCALL   BETAM                                 
058036,000823: 11,3702           23712                                    DOW..1                                
058037,000824: 11,3703           50414                           BON      VSR6                                  
058038,000825: 11,3704           00303                                    MOONFLAG                              
058039,000826: 11,3705           23706                                    +1                                    
058040,000827: 11,3706           77655                           VAD                                            
058041,000828: 11,3707           02202                                    FV                                    
058042,000829: 11,3710           36202                           STCALL   FV                                    
058043,000830: 11,3711           23212                                    NBRANCH                               
058044,000831: 11,3712           60575        DOW..1             VLOAD    VSR4                                  
058045,000832: 11,3713           02152                                    ALPHAV                                
058046,000833: 11,3714           53513                           PDVL*    UNIT                                  
058047,000834: 11,3715           02216                                    VECTAB,1                              
058048,000835: 11,3716           46315                           PDVL     VPROJ                                 
058049,000836: 11,3717           02152                                    ALPHAV                                
058050,000837: 11,3720           52361                           VXSC     VSU                                   
058051,000838: 11,3721           23761                                    3/4                                   
058052,000839: 11,3722           60325                           PDDL     NORM                                  
058053,000840: 11,3723           00045                                    36D                                   
058054,000841: 11,3724           00052                                    S2                                    
058055,000842: 11,3725           63406                           PUSH     DSQ                                   
058056,000843: 11,3726           77605                           DMP                                            
058057,000844: 11,3727           65301                           NORM     PDDL                                  
058058,000845: 11,3730           00043                                    34D                                   
058059,000846: 11,3731           02210                                    BETAM                                 
058060,000847: 11,3732           56342                           SR1      DDV                                   
058061,000848: 11,3733           77761                           VXSC                                           
058062,000849: 11,3734           57154                           LXA,2    XAD,2                                 
058063,000850: 11,3735           00051                                    S2                                    
058064,000851: 11,3736           00051                                    S2                                    
058065,000852: 11,3737           57074                           XAD,2    XAD,2                                 
058066,000853: 11,3740           00051                                    S2                                    
058067,000854: 11,3741           00042                                    34D                                   
058068,000855: 11,3742           43457                           VSL*     RVQ                                   

Page 1352

058070,000857: 11,3743           57606                                    0          -8D,2                      
058071,000858: 
058072,000859: 11,2000                                           SETLOC   ORBITAL1                              
058073,000860: 11,2000                                           BANK                                           
058074,000861: 
058075,000862: 11,3744                                           COUNT*   $$/ORBIT                              
058076,000863: 11,3744           04631 23146  3/5                2DEC     .6         B-2                        
058077,000864: 
058078,000865: 11,3746           14000 00000  THREE/8            2DEC     .375                                  
058079,000866: 
058080,000867: 11,3750           02314 31463  .3D                2DEC     .3         B-2                        
058081,000868: 
058082,000869: 11,3752           01400 00000  3/64               2DEC     3          B-6                        
058083,000870: 
058084,000871: 11,3754  15,3411               DP1/4              =        D1/4                                  #  1 B-2
058085,000872: 11,3754  15,3411               DQUARTER           EQUALS   DP1/4                                 
058086,000873: 11,3754           03000 00000  3/32               2DEC     3          B-5                        
058087,000874: 
058088,000875: 11,3756           36000 00000  15/16              2DEC     15.        B-4                        
058089,000876: 
058090,000877: 11,3760           30000 00000  3/4                2DEC     3.0        B-2                        
058091,000878: 
058092,000879: 11,3762           22525 12525  7/12               2DEC     .5833333333                            
058093,000880: 
058094,000881: 11,3764           22000 00000  9/16               2DEC     9          B-4                        
058095,000882: 
058096,000883: 11,3766           01200 00000  5/128              2DEC     5          B-7                        
058097,000884: 
058098,000885: 11,3770  04,3761               DPZERO             EQUALS   ZEROVEC                               
058099,000886: 11,3770           25252 25253  DP2/3              2DEC     .6666666667                            
058100,000887: 
058101,000888: 11,3772  11,3770               2/3                EQUALS   DP2/3                                 
058102,000889:                                                                                                  #  LM504 IS TEMPORARY
058103,000890: 13,2000                                           SETLOC   ORBITAL2                              
058104,000891: 13,2000                                           BANK                                           
058105,000892: 13,3717                                           COUNT*   $$/ORBIT                              
058106,000893:                                                                                                  #  IT IS VITAL THAT THE FOLLOWING CONSTANTS NOT BE SHUFFLED
058107,000894: 13,3717           77764                           DEC      -11        B-14                       
058108,000895: 13,3720           77775                           DEC      -2         B-14                       
058109,000896: 13,3721           77766                           DEC      -9         B-14                       
058110,000897: 13,3722           77771                           DEC      -6         B-14                       
058111,000898: 13,3723           77775                           DEC      -2         B-14                       
058112,000899: 13,3724           77775                           DEC      -2         B-14                       
058113,000900: 13,3725           00000                           DEC      0          B-14                       
058114,000901: 13,3726           77763                           DEC      -12        B-14                       
058115,000902: 13,3727           77766                           DEC      -9         B-14                       
058116,000903: 13,3730           77773                           DEC      -4         B-14                       
058117,000904: 13,3731           77770        ASCALE             DEC      -7         B-14                       
058118,000905: 13,3732           77771                           DEC      -6         B-14                       
058119,000906: 13,3733           27446 14620                     2DEC*    1.32715445 E16        B-54*           #  S
058120,000907: 

Page 1353

058122,000909: 13,3735           16471 01352                     2DEC*    4.9027780  E8         B-30*           #  M
058123,000910: 
058124,000911: 13,3737           22437 16067  MUEARTH            2DEC*    3.986032   E10        B-36*           
058125,000912: 
058126,000913: 13,3741           00000 00000                     2DEC     0          B-28                       
058127,000914: 
058128,000915: 13,3743           02302 24736  J4REQ/J3           2DEC*    .4991607391 E7         B-26*           
058129,000916: 
058130,000917: 13,3745           77651 76237                     2DEC     -176236.02 B-25                       
058131,000918: 
058132,000919: 13,3747           77776 53032  2J3RE/J2           2DEC*    -.1355426363 E5         B-27*           
058133,000920: 
058134,000921: 13,3751           10407 05344                     2DEC*    .3067493316 E18        B-60*           
058135,000922: 
058136,000923: 13,3753           13710 35320  J2REQSQ            2DEC*    1.75501139 E21        B-72*           
058137,000924: 
058138,000925: 13,3755           24000 00000  5/8                2DEC     5          B-3                        
058139,000926: 
058140,000927: 13,3757           74631 63145  -1/12              2DEC     -.1                                   
058141,000928: 
058142,000929: 13,3761  13,3735               MUM                =        MUEARTH    -2                         
058143,000930: 13,3761           00243 32703  RECRATIO           2DEC     .01                                   
058144,000931: 
058145,000932: 13,3763           03654 21000  RSPHERE            2DEC     64373.76   E3         B-29            
058146,000933: 
058147,000934: 13,3765           03654 21000  RDM                2DEC     16093.44   E3         B-27            
058148,000935: 
058149,000936: 13,3767           04627 25200  RDE                2DEC     80467.20   E3         B-29            
058150,000937: 
058151,000938: 13,3771                        RATT               EQUALS   00                                    
058152,000939: 13,3771                        VATT               EQUALS   6D                                    
058153,000940: 13,3771                        TAT                EQUALS   12D                                   
058154,000941: 13,3771                        RATT1              EQUALS   14D                                   
058155,000942: 13,3771                        VATT1              EQUALS   20D                                   
058156,000943: 13,3771                        MU(P)              EQUALS   26D                                   
058157,000944: 13,3771                        TDEC1              EQUALS   32D                                   
058158,000945: 13,3771                        URPV               EQUALS   14D                                   
058159,000946: 13,3771     0022               COSPHI/2           EQUALS   URPV       +4                         
058160,000947: 13,3771                        UZ                 EQUALS   20D                                   
058161,000948: 13,3771                        TVEC               EQUALS   26D                                   

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