Source Code

These source-code files were from the printout at the MIT Museum, with many thanks to Deborah Douglas, the Museum's Curator of Science and Technology, for releasing it to us. The printout was digitally photographed by Paul Fjeld. A team of volunteers transcribed the source code manually from these images or, where appropriate, modified already-transcribed but similar source Luminary 131 (Apollo 13) source code to agree with the images from the printout. Note that the page images presented online are of reduced quality, and that higher-quality images are available. Report any conversion errors or legibility problems in page images to info@sandroid.org. Notations on the program listing read, in part:

	GAP:  ASSEMBLE REVISION 001 OF AGC PROGRAM LMY99 BY NASA 2021112-061
	16:27 JULY 14,1969
Note that the date is the date of the printout, not the date of the program revision.

052532,000002:                                                                                                  ## Copyright:   Public domain.
052533,000003:                                                                                                  ## Filename:    ORBITAL_INTEGRATION.agc
052534,000004:                                                                                                  ## Purpose:     Part of the source code for Luminary 1A build 099.
052535,000005:                                                                                                  ##              It is part of the source code for the Lunar Module's (LM)
052536,000006:                                                                                                  ##              Apollo Guidance Computer (AGC), for Apollo 11.
052537,000007:                                                                                                  ## Assembler:   yaYUL
052538,000008:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
052539,000009:                                                                                                  ## Website:     www.ibiblio.org/apollo.
052540,000010:                                                                                                  ## Pages:       1227-1248
052541,000011:                                                                                                  ## Mod history: 2009-05-26 RSB  Adapted from the corresponding 
052542,000012:                                                                                                  ##                              Luminary131 file, using page 
052543,000013:                                                                                                  ##                              images from Luminary 1A.
052544,000014:                                                                                                  ##              2009-06-05 RSB  Fixed 3 typos.
052545,000015:                                                                                                  ##              2009-06-06 RSB  Page 1248 was missing entirely for some reason.
052546,000016:                                                                                                  ##              2009-06-07 RSB  Corrected a typo.
052547,000017:                                                                                                  ##              2016-12-17 RSB  Proofed text comments with octopus/ProoferComments
052548,000018:                                                                                                  ##                              and corrected the errors found.
052549,000019:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
052550,000020:                                                                                                  ##                              Luminary 99 vs Comanche 55.
052551,000021:                                                                                                  ##              2017-08-17 RSB  Comment-text fixes identified from AP11ROPE scans.
052552,000022: 
052553,000023:                                                                                                  ## This source code has been transcribed or otherwise adapted from
052554,000024:                                                                                                  ## digitized images of a hardcopy from the MIT Museum.  The digitization
052555,000025:                                                                                                  ## was performed by Paul Fjeld, and arranged for by Deborah Douglas of
052556,000026:                                                                                                  ## the Museum.  Many thanks to both.  The images (with suitable reduction
052557,000027:                                                                                                  ## in storage size and consequent reduction in image quality as well) are
052558,000028:                                                                                                  ## available online at www.ibiblio.org/apollo.  If for some reason you
052559,000029:                                                                                                  ## find that the images are illegible, contact me at info@sandroid.org
052560,000030:                                                                                                  ## about getting access to the (much) higher-quality images which Paul
052561,000031:                                                                                                  ## actually created.
052562,000032:                                                                                                  ##
052563,000033:                                                                                                  ## Notations on the hardcopy document read, in part:
052564,000034:                                                                                                  ##
052565,000035:                                                                                                  ##      Assemble revision 001 of AGC program LMY99 by NASA 2021112-61
052566,000036:                                                                                                  ##      16:27 JULY 14, 1969 
052567,000037: 

Page 1227

052569,000039:                                                                                                  #  DELETE
052570,000040: 13,3675                                           BANK     13                                    
052571,000041: 11,2000                                           SETLOC   ORBITAL                               
052572,000042: 11,2000                                           BANK                                           
052573,000043: 11,2376                                           COUNT*   $$/ORBIT                              
052574,000044: 
052575,000045:                                                                                                  #  DELETE
052576,000046: 11,2376           40354        KEPPREP            LXA,2    SETPD                                 
052577,000047: 11,2377           02030                                    PBODY                                 
052578,000048: 11,2400           00001                                    0                                     
052579,000049: 11,2401           75543                           DLOAD*   SQRT                                  #  SQRT(MU) (+18 OR +15)         0D      PL 2D
052580,000050: 11,2402           51770                                    MUEARTH,2                             
052581,000051: 11,2403           53515                           PDVL     UNIT                                  #                                        PL 8D
052582,000052: 11,2404           01535                                    RCV                                   
052583,000053: 11,2405           60325                           PDDL     NORM                                  #  NORM R (+29 OR +27 - N1)      2D      PL 4D
052584,000054: 11,2406           00045                                    36D                                   
052585,000055: 11,2407           00047                                    X1                                    
052586,000056: 11,2410           77715                           PDVL                                           
052587,000057: 11,2411           65241                           DOT      PDDL                                  #  F*SQRT(MU) (+7 OR +5)         4D      PL 6D
052588,000058: 11,2412           01543                                    VCV                                   
052589,000059: 11,2413           02074                                    TAU.                                  #  (+28)
052590,000060: 11,2414           60225                           DSU      NORM                                  
052591,000061: 11,2415           01551                                    TC                                    
052592,000062: 11,2416           00051                                    S1                                    
052593,000063: 11,2417           77742                           SR1                                            
052594,000064: 11,2420           65271                           DDV      PDDL                                  
052595,000065: 11,2421           00003                                    2D                                    
052596,000066: 11,2422           41405                           DMP      PUSH                                  #  FS (+6 +N1-N2)                6D      PL 8D
052597,000067: 11,2423           00005                                    4D                                    
052598,000068: 11,2424           65316                           DSQ      PDDL                                  #  (FS)SQ (+12 +2(N1-N2))        8D      PL 10D
052599,000069: 11,2425           00005                                    4D                                    
052600,000070: 11,2426           64716                           DSQ      PDDL*                                 #  SSQ/MU (-2 OR +2(N1-N2))      10D     PL 12D
052601,000071: 11,2427           51770                                    MUEARTH,2                             
052602,000072: 11,2430           40442                           SR3      SR4                                   
052603,000073: 11,2431           47515                           PDVL     VSQ                                   #  PREALIGN MU (+43 OR +37)      12D     PL 14D
052604,000074: 11,2432           01543                                    VCV                                   
052605,000075: 11,2433           44205                           DMP      BDSU                                  #                                        PL 12D
052606,000076: 11,2434           00045                                    36D                                   
052607,000077: 11,2435           41271                           DDV      DMP                                   #                                        PL 10D
052608,000078: 11,2436           00003                                    2D                                    #  -(1/R-ALPHA) (+12 +3N1-2N2)
052609,000079: 11,2437           53605                           DMP      SL*                                   
052610,000080: 11,2440           25774                                    DP2/3                                 
052611,000081: 11,2441           20176                                    0          -3,1                       #  10L(1/R-ALPHA) (+13 +2(N1-N2))
052612,000082: 11,2442           43260                           XSU,1    DAD                                   #  2(FS)SQ - ETCETRA                     PL 8D
052613,000083: 11,2443           00050                                    S1                                    #  X1 = N2-N1
052614,000084: 11,2444           45257                           SL*      DSU                                   #  -FS+2(FS)SQ ETC (+6 +N1-N2)           PL 6D
052615,000085: 11,2445           20211                                    8D,1                                  
052616,000086: 11,2446           41205                           DMP      DMP                                   
052617,000087: 11,2447           00001                                    0D                                    
052618,000088: 11,2450           00005                                    4D                                    
052619,000089: 11,2451           53657                           SL*      SL*                                   

Page 1228

052621,000091: 11,2452           20211                                    8D,1                                  
052622,000092: 11,2453           20201                                    0,1                                   #  S(-FS(1-2FS)-1/6...) (+17 OR +16)
052623,000093: 11,2454           65215                           DAD      PDDL                                  #                                        PL 6D
052624,000094: 11,2455           01553                                    XKEP                                  
052625,000095: 11,2456           53605                           DMP      SL*                                   #  S(+17 OR +16)
052626,000096: 11,2457           00001                                    0D                                    
052627,000097: 11,2460           20202                                    1,1                                   
052628,000098: 11,2461           43204                           BOVB     DAD                                   
052629,000099: 11,2462           57753                                    TCDANZIG                              
052630,000100: 11,2463           77626                           STADR                                          
052631,000101: 11,2464           75647                           STORE    XKEPNEW                               
052632,000102: 11,2465           74020                           STQ      AXC,1                                 
052633,000103: 11,2466           02112                                    KEPRTN                                
052634,000104: 11,2467           00012                           DEC      10         B-14                       
052635,000105: 11,2470           74014                           BON      AXC,1                                 
052636,000106: 11,2471           00303                                    MOONFLAG                              
052637,000107: 11,2472           24023                                    KEPLERN                               
052638,000108: 11,2473           00002                           DEC      2          B-14                       
052639,000109: 11,2474           77650                           GOTO                                           
052640,000110: 11,2475           24023                                    KEPLERN                               
052641,000111: 

Page 1229

052643,000113: 11,2476           66350        FBR3               LXA,1    SSP                                   
052644,000114: 11,2477           01500                                    DIFEQCNT                              
052645,000115: 11,2500           00051                                    S1                                    
052646,000116: 11,2501           77762                           DEC      -13        B-14                       
052647,000117: 11,2502           54345                           DLOAD    SR                                    
052648,000118: 11,2503           02076                                    DT/2                                  
052649,000119: 11,2504           20612                                    9D                                    
052650,000120: 11,2505           61500                           TIX,1    ROUND                                 
052651,000121: 11,2506           22507                                    +1                                    
052652,000122: 11,2507           43206                           PUSH     DAD                                   
052653,000123: 11,2510           01551                                    TC                                    
052654,000124: 11,2511           16074                           STODL    TAU.                                  
052655,000125: 11,2512           77615                           DAD                                            
052656,000126: 11,2513           01517                                    TET                                   
052657,000127: 11,2514           35517                           STCALL   TET                                   
052658,000128: 11,2515           22376                                    KEPPREP                               
052659,000129: 

Page 1230

052661,000131:                                                                                                  #  AGC ROUTINE TO COMPUTE ACCELERATION COMPONENTS.
052662,000132: 
052663,000133: 11,2516           73150        ACCOMP             LXA,1    LXA,2                                 
052664,000134: 11,2517           02030                                    PBODY                                 
052665,000135: 11,2520           02030                                    PBODY                                 
052666,000136: 11,2521           77775                           VLOAD                                          
052667,000137: 11,2522           24007                                    ZEROVEC                               
052668,000138: 11,2523           26062                           STOVL    FV                                    
052669,000139: 11,2524           02032                                    ALPHAV                                
052670,000140: 11,2525           53257                           VSL*     VAD                                   
052671,000141: 11,2526           57605                                    0          -7,2                       
052672,000142: 11,2527           01535                                    RCV                                   
052673,000143: 11,2530           02040                           STORE    BETAV                                 
052674,000144: 11,2531           65014                           BOF      XCHX,2                                
052675,000145: 11,2532           01756                                    DIM0FLAG                              
052676,000146: 11,2533           22540                                    +5                                    
052677,000147: 11,2534           01500                                    DIFEQCNT                              
052678,000148: 11,2535           12132                           STORE    VECTAB,2                              
052679,000149: 11,2536           77724                           XCHX,2                                         
052680,000150: 11,2537           01500                                    DIFEQCNT                              
052681,000151: 11,2540           53575                           VLOAD    UNIT                                  
052682,000152: 11,2541           02032                                    ALPHAV                                
052683,000153: 11,2542           16032                           STODL    ALPHAV                                
052684,000154: 11,2543           00045                                    36D                                   
052685,000155: 11,2544           02070                           STORE    ALPHAM                                
052686,000156: 11,2545           77624                           CALL                                           
052687,000157: 11,2546           22650                                    GAMCOMP                               
052688,000158: 11,2547           66175                           VLOAD    SXA,1                                 
052689,000159: 11,2550           02040                                    BETAV                                 
052690,000160: 11,2551           00051                                    S2                                    
052691,000161: 11,2552           16032                           STODL    ALPHAV                                
052692,000162: 11,2553           02072                                    BETAM                                 
052693,000163: 11,2554           02070                           STORE    ALPHAM                                
052694,000164: 11,2555           71214                           BOF      DLOAD                                 
052695,000165: 11,2556           00342                                    MIDFLAG                               
052696,000166: 11,2557           23022                                    OBLATE                                
052697,000167: 11,2560           01517                                    TET                                   
052698,000168: 11,2561           77624                           CALL                                           
052699,000169: 11,2562           33664                                    LSPOS                                 
052700,000170: 11,2563           72174                           AXT,2    LXA,1                                 
052701,000171: 11,2564           00002                                    2                                     
052702,000172: 11,2565           00051                                    S2                                    
052703,000173: 11,2566           77614                           BOF                                            
052704,000174: 11,2567           00343                                    MOONFLAG                              
052705,000175: 11,2570           22573                                    +3                                    
052706,000176: 11,2571           77076                           VCOMP    AXT,2                                 
052707,000177: 11,2572           00000                                    0                                     
052708,000178: 11,2573           02040                           STORE    BETAV                                 
052709,000179: 11,2574           26105                           STOVL    RPQV                                  

Page 1231

052711,000181: 11,2575           00003                                    2D                                    
052712,000182: 11,2576           02122                           STORE    RPSV                                  
052713,000183: 11,2577           45335                           SLOAD    DSU                                   
052714,000184: 11,2600           01012                                    MODREG                                
052715,000185: 11,2601           25776                                    OCT27                                 
052716,000186: 11,2602           43030                           BHIZ     BOF                                   
052717,000187: 11,2603           22606                                    +3                                    
052718,000188: 11,2604           01756                                    DIM0FLAG                              
052719,000189: 11,2605           22622                                    GETRPSV                               
052720,000190: 11,2606           74375                           VLOAD    VXSC                                  
052721,000191: 11,2607           02032                                    ALPHAV                                
052722,000192: 11,2610           02070                                    ALPHAM                                
052723,000193: 11,2611           52257                           VSR*     VSU                                   
052724,000194: 11,2612           57175                                    1,2                                   
052725,000195: 11,2613           02040                                    BETAV                                 
052726,000196: 11,2614           77724                           XCHX,2                                         
052727,000197: 11,2615           01500                                    DIFEQCNT                              
052728,000198: 11,2616           12140                           STORE    VECTAB     +6,2                       
052729,000199: 11,2617           02114                           STORE    RQVV                                  
052730,000200: 11,2620           77724                           XCHX,2                                         
052731,000201: 11,2621           01500                                    DIFEQCNT                              
052732,000202: 11,2622           62175        GETRPSV            VLOAD    INCR,1                                
052733,000203: 11,2623           02105                                    RPQV                                  
052734,000204: 11,2624           00004                                    4                                     
052735,000205: 11,2625           43014                           CLEAR    BOF                                   
052736,000206: 11,2626           04260                                    RPQFLAG                               
052737,000207: 11,2627           00343                                    MOONFLAG                              
052738,000208: 11,2630           22635                                    +5                                    
052739,000209: 11,2631           53261                           VSR      VAD                                   
052740,000210: 11,2632           20612                                    9D                                    
052741,000211: 11,2633           02122                                    RPSV                                  
052742,000212: 11,2634           02122                           STORE    RPSV                                  
052743,000213: 11,2635           77624                           CALL                                           
052744,000214: 11,2636           22650                                    GAMCOMP                               
052745,000215: 11,2637           62174                           AXT,2    INCR,1                                
052746,000216: 11,2640           00004                                    4                                     
052747,000217: 11,2641           00004                                    4                                     
052748,000218: 11,2642           77775                           VLOAD                                          
052749,000219: 11,2643           02122                                    RPSV                                  
052750,000220: 11,2644           36040                           STCALL   BETAV                                 
052751,000221: 11,2645           22650                                    GAMCOMP                               
052752,000222: 11,2646           77650                           GOTO                                           
052753,000223: 11,2647           23022                                    OBLATE                                
052754,000224: 11,2650           74575        GAMCOMP            VLOAD    VSR1                                  
052755,000225: 11,2651           02040                                    BETAV                                 
052756,000226: 11,2652           40236                           VSQ      SETPD                                 
052757,000227: 11,2653           00001                                    0                                     
052758,000228: 11,2654           61501                           NORM     ROUND                                 
052759,000229: 11,2655           00040                                    31D                                   
052760,000230: 11,2656           60325                           PDDL     NORM                                  #  NORMED B SQUARED TO PD LIST

Page 1232

052762,000232: 11,2657           02070                                    ALPHAM                                #  NORMALIZE (LESS ONE) LENGTH OF ALPHA
052763,000233: 11,2660           00041                                    32D                                   #  SAVING NORM SCALE FACTOR IN X1
052764,000234: 11,2661           63342                           SR1      PDVL                                  
052765,000235: 11,2662           02040                                    BETAV                                 #  C(PDL+2) = ALMOST NORMED ALPHA
052766,000236: 11,2663           77656                           UNIT                                           
052767,000237: 11,2664           16040                           STODL    BETAV                                 
052768,000238: 11,2665           00045                                    36D                                   
052769,000239: 11,2666           02072                           STORE    BETAM                                 
052770,000240: 11,2667           55301                           NORM     BDDV                                  #  FORM NORMALIZED QUOTIENT ALPHAM/BETAM
052771,000241: 11,2670           00042                                    33D                                   
052772,000242: 11,2671           41562                           SR1R     PUSH                                  #  C(PDL+2) = ALMOST NORMALIZED RHO.
052773,000243: 11,2672           77743                           DLOAD*                                         
052774,000244: 11,2673           27710                                    ASCALE,1                              
052775,000245: 11,2674           00051                           STORE    S1                                    
052776,000246: 11,2675           57124                           XCHX,2   XAD,2                                 
052777,000247: 11,2676           00050                                    S1                                    
052778,000248: 11,2677           00040                                    32D                                   
052779,000249: 11,2700           71264                           XSU,2    DLOAD                                 
052780,000250: 11,2701           00041                                    33D                                   
052781,000251: 11,2702           00003                                    2D                                    
052782,000252: 11,2703           65057                           SR*      XCHX,2                                
052783,000253: 11,2704           57177                                    0          -1,2                       
052784,000254: 11,2705           00050                                    S1                                    
052785,000255: 11,2706           74406                           PUSH     SR1R                                  #  RHO/4 TO 4D
052786,000256: 11,2707           50315                           PDVL     DOT                                   
052787,000257: 11,2710           02032                                    ALPHAV                                
052788,000258: 11,2711           02040                                    BETAV                                 
052789,000259: 11,2712           44372                           SL1R     BDSU                                  #  (RHO/4) - 2(ALPHAV/2.BETAV/2)
052790,000260: 11,2713           57206                           PUSH     DMPR                                  #  TO PDL+6
052791,000261: 11,2714           00005                                    4                                     
052792,000262: 11,2715           77752                           SL1                                            
052793,000263: 11,2716           43206                           PUSH     DAD                                   
052794,000264: 11,2717           25756                                    DQUARTER                              
052795,000265: 11,2720           75406                           PUSH     SQRT                                  
052796,000266: 11,2721           41475                           DMPR     PUSH                                  
052797,000267: 11,2722           00013                                    10D                                   
052798,000268: 11,2723           43352                           SL1      DAD                                   
052799,000269: 11,2724           25756                                    DQUARTER                              
052800,000270: 11,2725           43325                           PDDL     DAD                                   #  (1/4)+2((Q+1)/4)      TO PD+14D
052801,000271: 11,2726           00013                                    10D                                   
052802,000272: 11,2727           24005                                    HALFDP                                
052803,000273: 11,2730           72475                           DMPR     SL1                                   
052804,000274: 11,2731           00011                                    8D                                    
052805,000275: 11,2732           56215                           DAD      DDV                                   
052806,000276: 11,2733           25750                                    THREE/8                               
052807,000277: 11,2734           00017                                    14D                                   
052808,000278: 11,2735           74275                           DMPR     VXSC                                  
052809,000279: 11,2736           00007                                    6                                     
052810,000280: 11,2737           02040                                    BETAV                                 #                -
052811,000281: 11,2740           64515                           PDVL     VSR3                                  #  (G/2)(C(PD+4))B/2 TO PD+16D

Page 1233

052813,000283: 11,2741           02032                                    ALPHAV                                
052814,000284: 11,2742           41455                           VAD      PUSH                                  #  A12 + C(PD+16D) TO PD+16D
052815,000285: 11,2743           41345                           DLOAD    DMP                                   
052816,000286: 11,2744           00001                                    0                                     
052817,000287: 11,2745           00015                                    12D                                   
052818,000288: 11,2746           61501                           NORM     ROUND                                 
052819,000289: 11,2747           00037                                    30D                                   
052820,000290: 11,2750           40665                           BDDV     DMP*                                  
052821,000291: 11,2751           00003                                    2                                     
052822,000292: 11,2752           51770                                    MUEARTH,2                             
052823,000293: 11,2753           74276                           DCOMP    VXSC                                  
052824,000294: 11,2754           57124                           XCHX,2   XAD,2                                 
052825,000295: 11,2755           00050                                    S1                                    
052826,000296: 11,2756           00051                                    S2                                    
052827,000297: 11,2757           55064                           XSU,2    XSU,2                                 
052828,000298: 11,2760           00036                                    30D                                   
052829,000299: 11,2761           00037                                    31D                                   
052830,000300: 11,2762           77600                           BOV                                            #  CLEAR OVIND
052831,000301: 11,2763           22764                                    +1                                    
052832,000302: 11,2764           65057                           VSR*     XCHX,2                                
052833,000303: 11,2765           57177                                    0          -1,2                       
052834,000304: 11,2766           00050                                    S1                                    
052835,000305: 11,2767           77655                           VAD                                            
052836,000306: 11,2770           02062                                    FV                                    
052837,000307: 11,2771           02062                           STORE    FV                                    
052838,000308: 11,2772           43400                           BOV      RVQ                                   #  RETURN IF NO OVERFLOW
052839,000309: 11,2773           22774                                    +1                                    
052840,000310: 11,2774           51575        GOBAQUE            VLOAD    ABVAL                                 
052841,000311: 11,2775           01521                                    TDELTAV                               
052842,000312: 11,2776           77654                           BZE                                            
052843,000313: 11,2777           23017                                    INT-ABRT                              
052844,000314: 11,3000           54345                           DLOAD    SR                                    
052845,000315: 11,3001           02100                                    H                                     
052846,000316: 11,3002           20612                                    9D                                    
052847,000317: 11,3003           44206                           PUSH     BDSU                                  
052848,000318: 11,3004           01551                                    TC                                    
052849,000319: 11,3005           16074                           STODL    TAU.                                  
052850,000320: 11,3006           01517                                    TET                                   
052851,000321: 11,3007           45425                           DSU      STADR                                 
052852,000322: 11,3010           42260                           STCALL   TET                                   
052853,000323: 11,3011           22376                                    KEPPREP                               
052854,000324: 11,3012           77624                           CALL                                           
052855,000325: 11,3013           23441                                    RECTIFY                               
052856,000326: 11,3014           77614                           SETGO                                          
052857,000327: 11,3015           04020                                    RPQFLAG                               
052858,000328: 11,3016           27257                                    TESTLOOP                              
052859,000329: 
052860,000330: 11,3017           77776        INT-ABRT           EXIT                                           
052861,000331: 11,3020           05652                           TC       POODOO                                
052862,000332: 11,3021           00430                           OCT      00430                                 
052863,000333: 

Page 1234

052865,000335:                                                                                                  #  THE OBLATE ROUTINE COMPUTES THE ACCELERATION DUE TO OBLATENESS.  IT USES THE UNIT OF THE VEHICLE
052866,000336:                                                                                                  #  POSITION VECTOR FOUND IN ALPHAV AND THE DISTANCE TO THE CENTER IN ALPHAM.  THIS IS ADDED TO THE SUM OF THE
052867,000337:                                                                                                  #  DISTURBING ACCELERATIONS IN FV AND THE PROPER DIFEQ STAGE IS CALLED VIA X1.
052868,000338: 
052869,000339: 11,3022           71354        OBLATE             LXA,2    DLOAD                                 
052870,000340: 11,3023           02030                                    PBODY                                 
052871,000341: 11,3024           02070                                    ALPHAM                                
052872,000342: 11,3025           44601                           SETPD    DSU*                                  
052873,000343: 11,3026           00001                                    0                                     
052874,000344: 11,3027           50053                                    RDE,2                                 
052875,000345: 11,3030           43044                           BPL      BOF                                   #  GET URPV
052876,000346: 11,3031           23232                                    NBRANCH                               
052877,000347: 11,3032           00343                                    MOONFLAG                              
052878,000348: 11,3033           23241                                    COSPHIE                               
052879,000349: 11,3034           65375                           VLOAD    PDDL                                  
052880,000350: 11,3035           02032                                    ALPHAV                                
052881,000351: 11,3036           01517                                    TET                                   
052882,000352: 11,3037           45125                           PDDL     CALL                                  
052883,000353: 11,3040           25746                                    3/5                                   
052884,000354: 11,3041           51670                                    R-TO-RP                               
052885,000355: 11,3042           00017                           STORE    URPV                                  
052886,000356: 11,3043           47375                           VLOAD    VXV                                   
052887,000357: 11,3044           02013                                    504LM                                 
052888,000358: 11,3045           24001                                    ZUNIT                                 
052889,000359: 11,3046           61255                           VAD      VXM                                   
052890,000360: 11,3047           24001                                    ZUNIT                                 
052891,000361: 11,3050           00025                                    MMATRIX                               
052892,000362: 11,3051           77656                           UNIT                                           #  POSSIBLY UNNECESSARY
052893,000363: 11,3052           00025        COMTERM            STORE    UZ                                    
052894,000364: 11,3053           57345                           DLOAD    DMPR                                  
052895,000365: 11,3054           00023                                    COSPHI/2                              
052896,000366: 11,3055           25760                                    3/32                                  
052897,000367: 11,3056           63525                           PDDL     DSQ                                   #  P2/64 TO PD0
052898,000368: 11,3057           00023                                    COSPHI/2                              
052899,000369: 11,3060           45275                           DMPR     DSU                                   
052900,000370: 11,3061           25762                                    15/16                                 
052901,000371: 11,3062           25754                                    3/64                                  
052902,000372: 11,3063           57206                           PUSH     DMPR                                  #  P3/32 TO PD2
052903,000373: 11,3064           00023                                    COSPHI/2                              
052904,000374: 11,3065           76405                           DMP      SL1R                                  
052905,000375: 11,3066           25766                                    7/12                                  
052906,000376: 11,3067           57325                           PDDL     DMPR                                  
052907,000377: 11,3070           00001                                    0                                     
052908,000378: 11,3071           25774                                    2/3                                   
052909,000379: 11,3072           41421                           BDSU     PUSH                                  #  P4/128 TO PD4
052910,000380: 11,3073           57275                           DMPR     DMPR                                  
052911,000381: 11,3074           00023                                    COSPHI/2                              #  BEGIN COMPUTING P5/1024
052912,000382: 11,3075           25770                                    9/16                                  
052913,000383: 11,3076           57325                           PDDL     DMPR                                  
052914,000384: 11,3077           00003                                    2                                     
052915,000385: 11,3100           25772                                    5/128                                 

Page 1235

052917,000387: 11,3101           77621                           BDSU                                           
052918,000388: 11,3102           77603                           DMP*                                           
052919,000389: 11,3103           51764                                    J4REQ/J3,2                            
052920,000390: 11,3104           43271                           DDV      DAD                                   #               -3
052921,000391: 11,3105           02070                                    ALPHAM                                #  (((P5/256)B 2  /R+P4/32)  /R+P3/8)ALPHAV
052922,000392: 11,3106           00005                                    4                                     #             4             3
052923,000393: 11,3107           56273                           DMPR*    DDV                                   
052924,000394: 11,3110           51760                                    2J3RE/J2,2                            
052925,000395: 11,3111           02070                                    ALPHAM                                
052926,000396: 11,3112           74215                           DAD      VXSC                                  
052927,000397: 11,3113           00003                                    2                                     
052928,000398: 11,3114           02032                                    ALPHAV                                
052929,000399: 11,3115           14033                           STODL    TVEC                                  
052930,000400: 11,3116           70403                           DMP*     SR1                                   
052931,000401: 11,3117           51764                                    J4REQ/J3,2                            
052932,000402: 11,3120           43271                           DDV      DAD                                   
052933,000403: 11,3121           02070                                    ALPHAM                                #                -3
052934,000404: 11,3122           50473                           DMPR*    SR3                                   
052935,000405: 11,3123           51760                                    2J3RE/J2,2                            #     3        4
052936,000406: 11,3124           43271                           DDV      DAD                                   
052937,000407: 11,3125           02070                                    ALPHAM                                
052938,000408: 11,3126           76561                           VXSC     VSL1                                  
052939,000409: 11,3127           00025                                    UZ                                    
052940,000410: 11,3130           77645                           BVSU                                           
052941,000411: 11,3131           00033                                    TVEC                                  
052942,000412: 11,3132           14033                           STODL    TVEC                                  
052943,000413: 11,3133           02070                                    ALPHAM                                
052944,000414: 11,3134           63501                           NORM     DSQ                                   
052945,000415: 11,3135           00047                                    X1                                    
052946,000416: 11,3136           60316                           DSQ      NORM                                  
052947,000417: 11,3137           00051                                    S1                                    #          4
052948,000418: 11,3140           54606                           PUSH     BDDV*                                 #  NORMED R  TO 0D
052949,000419: 11,3141           51754                                    J2REQSQ,2                             
052950,000420: 11,3142           40161                           VXSC     BOV                                   
052951,000421: 11,3143           00033                                    TVEC                                  
052952,000422: 11,3144           23145                                    +1                                    #  (RESET OVERFLOW INDICATOR)
052953,000423: 11,3145           56070                           XAD,1    XAD,1                                 
052954,000424: 11,3146           00046                                    X1                                    
052955,000425: 11,3147           00046                                    X1                                    
052956,000426: 11,3150           53670                           XAD,1    VSL*                                  
052957,000427: 11,3151           00050                                    S1                                    
052958,000428: 11,3152           20153                                    0          -22D,1                     
052959,000429: 11,3153           40055                           VAD      BOV                                   
052960,000430: 11,3154           02062                                    FV                                    
052961,000431: 11,3155           22774                                    GOBAQUE                               
052962,000432: 11,3156           36062                           STCALL   FV                                    
052963,000433: 11,3157           27725                                    QUALITY1                              
052964,000434: 
052965,000435: 11,3160           77716        QUALITY3           DSQ                                            #  J22 TERM X R**4 IN 2D, SCALED B61
052966,000436:                                                                                                  #  AS VECTOR.

Page 1236

052968,000438: 11,3161           41206                           PUSH     DMP                                   #  STORE COSPHI**2 SCALED B2 IN 8D
052969,000439: 11,3162           27712                                    5/8                                   #  5 SCALED B3
052970,000440: 11,3163           60525                           PDDL     SR2                                   #  PUT 5 COSPHI**2, D5, IN 8D.  GET
052971,000441:                                                                                                  #  COSPHI**2 D2 FROM 8D
052972,000442: 11,3164           44215                           DAD      BDSU                                  #  END UP WITH (1-7 COSPHI**2), B5
052973,000443: 11,3165           00011                                    8D                                    #  ADDING COSPHI**2 B4 SAME AS COSPHI**2
052974,000444:                                                                                                  #  X 2 D5
052975,000445: 11,3166           11043                                    D1/32                                 #  1 SCALED B5
052976,000446: 11,3167           41205                           DMP      DMP                                   
052977,000447: 11,3170           00017                                    URPV                                  #  X COMPONENT
052978,000448: 11,3171           27712                                    5/8                                   #  5 SCALED B3
052979,000449: 11,3172           56561                           VXSC     VSL5                                  #  AFTER SHIFT, SCALED B5
052980,000450: 11,3173           00017                                    URPV                                  #  VECTOR, B1.
052981,000451: 11,3174           77725                           PDDL                                           #  VECTOR INTO 8D, 10D, 12D, SCALED B5.
052982,000452:                                                                                                  #  GET 5 COSPHI**2 OUT OF 8D
052983,000453: 11,3175           43225                           DSU      DAD                                   
052984,000454: 11,3176           11043                                    D1/32                                 #  1 B5
052985,000455: 11,3177           00011                                    8D                                    #  X COMPONENT (SAME AS MULTIPLYING
052986,000456:                                                                                                  #  BY UNITX)
052987,000457: 11,3200           14011                           STODL    8D                                    
052988,000458: 11,3201           00017                                    URPV                                  #  X COMPONENT
052989,000459: 11,3202           41205                           DMP      DMP                                   
052990,000460: 11,3203           00023                                    URPV       +4                         #  Z COMPONENT
052991,000461: 11,3204           27712                                    5/8                                   #  5 B3 ANSWER B5
052992,000462: 11,3205           43352                           SL1      DAD                                   #  FROM 12D FOR Z COMPONENT (SL1 GIVES 10
052993,000463:                                                                                                  #  INSTEAD OF 5 FOR COEFFICIENT)
052994,000464: 11,3206           60325                           PDDL     NORM                                  #  BACK INTO 12D FOR Z COMPONENT.
052995,000465: 11,3207           02070                                    ALPHAM                                #  SCALED B27 FOR MOON
052996,000466: 11,3210           00050                                    X2                                    
052997,000467: 11,3211           67206                           PUSH     SLOAD                                 #  STORE IN 14D, DESTROYING URPV
052998,000468:                                                                                                  #  X COMPONENT
052999,000469: 11,3212           01354                                    E32C31RM                              
053000,000470: 11,3213           74271                           DDV      VXSC                                  #  IF X2 = 0, DIVISION GIVES B53, VXSC
053001,000471:                                                                                                  #  OUT OF 8D B5 GIVES B58
053002,000472: 11,3214           53257                           VSL*     VAD                                   #  SHIFT MAKES B61, FOR ADDITION OF 
053003,000473:                                                                                                  #  VECTOR IN 2D
053004,000474: 11,3215           57601                                    0          -3,2                       
053005,000475: 11,3216           70257                           VSL*     V/SC                                  #  OPERAND FROM 0D, B108 FOR X1 = 0
053006,000476: 11,3217           20146                                    0          -27D,1                     #  FOR X1 = 0, MAKES B88, GIVING B-20
053007,000477:                                                                                                  #  FOR RESULT.
053008,000478: 11,3220           65325                           PDDL     PDDL                                  
053009,000479: 11,3221           01517                                    TET                                   
053010,000480: 11,3222           27712                                    5/8                                   #  ANY NON-ZERO CONSTANT
053011,000481: 11,3223           45154                           LXA,2    CALL                                  #  POSITION IN 0D, TIME IN 6D.  X2 LEFT
053012,000482:                                                                                                  #  ALONE.
053013,000483: 11,3224           02030                                    PBODY                                 
053014,000484: 11,3225           55716                                    RP-TO-R                               
053015,000485: 11,3226           40055                           VAD      BOV                                   #  OVERFLOW INDICATOR RESET IN "RP-TO-R"
053016,000486: 11,3227           02062                                    FV                                    
053017,000487: 11,3230           22774                                    GOBAQUE                               

Page 1237

053019,000489: 11,3231           02062                           STORE    FV                                    
053020,000490: 11,3232           72135        NBRANCH            SLOAD    LXA,1                                 
053021,000491: 11,3233           01501                                    DIFEQCNT                              
053022,000492: 11,3234           00154                                    MPAC                                  
053023,000493: 11,3235           73205                           DMP      CGOTO                                 
053024,000494: 11,3236           27714                                    -1/12                                 
053025,000495: 11,3237           00155                                    MPAC                                  
053026,000496: 11,3240           23247                                    DIFEQTAB                              
053027,000497: 11,3241           77745        COSPHIE            DLOAD                                          
053028,000498: 11,3242           02036                                    ALPHAV     +4                         
053029,000499: 11,3243           24023                           STOVL    COSPHI/2                              
053030,000500: 11,3244           24001                                    ZUNIT                                 
053031,000501: 11,3245           77650                           GOTO                                           
053032,000502: 11,3246           23052                                    COMTERM                               
053033,000503: 11,3247           23466        DIFEQTAB           CADR     DIFEQ+0                               
053034,000504: 11,3250           23472                           CADR     DIFEQ+1                               
053035,000505: 11,3251           23503                           CADR     DIFEQ+2                               
053036,000506: 11,3252           77214        TIMESTEP           BOF      VLOAD                                 
053037,000507: 11,3253           00342                                    MIDFLAG                               
053038,000508: 11,3254           23303                                    RECTEST                               
053039,000509: 11,3255           01535                                    RCV                                   
053040,000510: 11,3256           41241                           DOT      DMP                                   
053041,000511: 11,3257           01543                                    VCV                                   
053042,000512: 11,3260           02076                                    DT/2                                  #  (R.V) X (DELTA T)
053043,000513: 11,3261           77640                           BMN                                            
053044,000514: 11,3262           23303                                    RECTEST                               
053045,000515: 11,3263           43014                           BON      BOF                                   
053046,000516: 11,3264           00303                                    MOONFLAG                              
053047,000517: 11,3265           23360                                    LUNSPH                                
053048,000518: 11,3266           04340                                    RPQFLAG                               
053049,000519: 11,3267           23355                                    EARSPH                                
053050,000520: 11,3270           45145                           DLOAD    CALL                                  
053051,000521: 11,3271           01517                                    TET                                   
053052,000522: 11,3272           33664                                    LSPOS                                 #  RPQV IN MPAC
053053,000523: 11,3273           02105                           STORE    RPQV                                  #  RPQV
053054,000524: 11,3274           77754                           LXA,2                                          
053055,000525: 11,3275           02030                                    PBODY                                 
053056,000526: 11,3276           51445        INLUNCHK           BVSU     ABVAL                                 
053057,000527: 11,3277           01535                                    RCV                                   
053058,000528: 11,3300           50025                           DSU      BMN                                   
053059,000529: 11,3301           27720                                    RSPHERE                               
053060,000530: 11,3302           23375                                    DOSWITCH                              
053061,000531: 11,3303           51575        RECTEST            VLOAD    ABVAL                                 #  RECTIFY IF
053062,000532: 11,3304           01521                                    TDELTAV                               
053063,000533: 11,3305           77600                           BOV                                            
053064,000534: 11,3306           23331                                    CALLRECT                              
053065,000535: 11,3307           51025                           DSU      BPL                                   #        1) EITHER TDELTAV OR TNUV EQUALS OR
053066,000536: 11,3310           25764                                    3/4                                   #           EXCEEDS 3/4 IN MAGNITUDE
053067,000537: 11,3311           23331                                    CALLRECT                              
053068,000538: 11,3312           53615                           DAD      SL*                                   #                        OR

Page 1238

053070,000540: 11,3313           25764                                    3/4                                   
053071,000541: 11,3314           57605                                    0          -7,2                       #        2) ABVAL(TDELTAV) EQUALS OR EXCEEDS
053072,000542: 11,3315           45271                           DDV      DSU                                   #           .01(ABVAL(RCV))
053073,000543: 11,3316           00013                                    10D                                   
053074,000544: 11,3317           27716                                    RECRATIO                              
053075,000545: 11,3320           77244                           BPL      VLOAD                                 
053076,000546: 11,3321           23331                                    CALLRECT                              
053077,000547: 11,3322           01527                                    TNUV                                  
053078,000548: 11,3323           45246                           ABVAL    DSU                                   
053079,000549: 11,3324           25764                                    3/4                                   
053080,000550: 11,3325           77600                           BOV                                            
053081,000551: 11,3326           23331                                    CALLRECT                              
053082,000552: 11,3327           77640                           BMN                                            
053083,000553: 11,3330           23333                                    INTGRATE                              
053084,000554: 11,3331           77624        CALLRECT           CALL                                           
053085,000555: 11,3332           23441                                    RECTIFY                               
053086,000556: 11,3333           77775        INTGRATE           VLOAD                                          
053087,000557: 11,3334           01527                                    TNUV                                  
053088,000558: 11,3335           25135                           STOVL    ZV                                    
053089,000559: 11,3336           01521                                    TDELTAV                               
053090,000560: 11,3337           01127                           STORE    YV                                    
053091,000561: 11,3340           77614                           CLEAR                                          
053092,000562: 11,3341           00261                                    JSWITCH                               
053093,000563: 11,3342           66375        DIFEQ0             VLOAD    SSP                                   
053094,000564: 11,3343           01127                                    YV                                    
053095,000565: 11,3344           01501                                    DIFEQCNT                              
053096,000566: 11,3345           00000                                    0                                     
053097,000567: 11,3346           16032                           STODL    ALPHAV                                
053098,000568: 11,3347           24007                                    DPZERO                                
053099,000569: 11,3350           02100                           STORE    H                                     #  START H AT ZERO.  GOES 0(DELT/2)DELT.
053100,000570: 11,3351           52014                           BON      GOTO                                  
053101,000571: 11,3352           00301                                    JSWITCH                               
053102,000572: 11,3353           23705                                    DOW..                                 
053103,000573: 11,3354           22516                                    ACCOMP                                
053104,000574: 11,3355           52175        EARSPH             VLOAD    GOTO                                  
053105,000575: 11,3356           02105                                    RPQV                                  
053106,000576: 11,3357           23276                                    INLUNCHK                              
053107,000577: 11,3360           60545        LUNSPH             DLOAD    SR2                                   
053108,000578: 11,3361           00013                                    10D                                   
053109,000579: 11,3362           50025                           DSU      BMN                                   
053110,000580: 11,3363           27720                                    RSPHERE                               
053111,000581: 11,3364           23303                                    RECTEST                               
053112,000582: 11,3365           71214                           BOF      DLOAD                                 
053113,000583: 11,3366           04340                                    RPQFLAG                               
053114,000584: 11,3367           23375                                    DOSWITCH                              
053115,000585: 11,3370           01517                                    TET                                   
053116,000586: 11,3371           77624                           CALL                                           
053117,000587: 11,3372           33664                                    LUNPOS                                
053118,000588: 11,3373           77676                           VCOMP                                          
053119,000589: 11,3374           02105                           STORE    RPQV                                  

Page 1239

053121,000591: 11,3375           77624        DOSWITCH           CALL                                           
053122,000592: 11,3376           23401                                    ORIGCHNG                              
053123,000593: 11,3377           77650                           GOTO                                           
053124,000594: 11,3400           23333                                    INTGRATE                              
053125,000595: 11,3401           45020        ORIGCHNG           STQ      CALL                                  
053126,000596: 11,3402           02112                                    ORIGEX                                
053127,000597: 11,3403           23441                                    RECTIFY                               
053128,000598: 11,3404           53775                           VLOAD    VSL*                                  
053129,000599: 11,3405           01535                                    RCV                                   
053130,000600: 11,3406           57576                                    0,2                                   
053131,000601: 11,3407           53651                           VSU      VSL*                                  
053132,000602: 11,3410           02105                                    RPQV                                  
053133,000603: 11,3411           57574                                    2,2                                   
053134,000604: 11,3412           01503                           STORE    RRECT                                 
053135,000605: 11,3413           15535                           STODL    RCV                                   
053136,000606: 11,3414           01517                                    TET                                   
053137,000607: 11,3415           77624                           CALL                                           
053138,000608: 11,3416           33775                                    LUNVEL                                
053139,000609: 11,3417           57414                           BOF      VCOMP                                 
053140,000610: 11,3420           00343                                    MOONFLAG                              
053141,000611: 11,3421           23422                                    +1                                    
053142,000612: 11,3422           53715                           PDVL     VSL*                                  
053143,000613: 11,3423           01543                                    VCV                                   
053144,000614: 11,3424           57576                                    0,2                                   
053145,000615: 11,3425           77651                           VSU                                            
053146,000616: 11,3426           77657                           VSL*                                           
053147,000617: 11,3427           57574                                    0          +2,2                       
053148,000618: 11,3430           01511                           STORE    VRECT                                 
053149,000619: 11,3431           01543                           STORE    VCV                                   
053150,000620: 11,3432           67154                           LXA,2    SXA,2                                 
053151,000621: 11,3433           02112                                    ORIGEX                                
053152,000622: 11,3434           00052                                    QPRET                                 
053153,000623: 11,3435           52014                           BON      GOTO                                  
053154,000624: 11,3436           00303                                    MOONFLAG                              
053155,000625: 11,3437           26711                                    CLRMOON                               
053156,000626: 11,3440           26716                                    SETMOON                               

Page 1240

053158,000628:                                                                                                  #  THE RECTIFY SUBROUTINE IS CALLED BY THE INTEGRATION PROGRAM AND OCCASIONALLY BY THE MEASUREMENT INCORPORATION
053159,000629:                                                                                                  #  ROUTINES TO ESTABLISH A NEW CONIC.
053160,000630: 
053161,000631: 11,3441           77354        RECTIFY            LXA,2    VLOAD                                 
053162,000632: 11,3442           02030                                    PBODY                                 
053163,000633: 11,3443           01521                                    TDELTAV                               
053164,000634: 11,3444           53257                           VSL*     VAD                                   
053165,000635: 11,3445           57605                                    0          -7,2                       
053166,000636: 11,3446           01535                                    RCV                                   
053167,000637: 11,3447           01503                           STORE    RRECT                                 
053168,000638: 11,3450           25535                           STOVL    RCV                                   
053169,000639: 11,3451           01527                                    TNUV                                  
053170,000640: 11,3452           53257                           VSL*     VAD                                   
053171,000641: 11,3453           57602                                    0          -4,2                       
053172,000642: 11,3454           01543                                    VCV                                   
053173,000643: 11,3455           01511        MINIRECT           STORE    VRECT                                 
053174,000644: 11,3456           25543                           STOVL    VCV                                   
053175,000645: 11,3457           24007                                    ZEROVEC                               
053176,000646: 11,3460           01521                           STORE    TDELTAV                               
053177,000647: 11,3461           15527                           STODL    TNUV                                  
053178,000648: 11,3462           24007                                    ZEROVEC                               
053179,000649: 11,3463           01551                           STORE    TC                                    
053180,000650: 11,3464           01553                           STORE    XKEP                                  
053181,000651: 11,3465           77616                           RVQ                                            
053182,000652: 

Page 1241

053184,000654:                                                                                                  #  THE THREE DIFEQ ROUTINES - DIFEQ+0, DIFEQ+12, AND DIFEQ+24 - ARE ENTERED TO PROCESS THE CONTRIBUTIONS AT THE
053185,000655:                                                                                                  #  BEGINNING, MIDDLE, AND END OF THE TIMESTEP, RESPECTIVELY.  THE UPDATING IS DONE BY THE NYSTROM METHOD.
053186,000656: 
053187,000657: 11,3466           64575        DIFEQ+0            VLOAD    VSR3                                  
053188,000658: 11,3467           02062                                    FV                                    
053189,000659: 11,3470           36046                           STCALL   PHIV                                  
053190,000660: 11,3471           23646                                    DIFEQCOM                              
053191,000661: 11,3472           74575        DIFEQ+1            VLOAD    VSR1                                  
053192,000662: 11,3473           02062                                    FV                                    
053193,000663: 11,3474           53206                           PUSH     VAD                                   
053194,000664: 11,3475           02046                                    PHIV                                  
053195,000665: 11,3476           26054                           STOVL    PSIV                                  
053196,000666: 11,3477           53362                           VSR1     VAD                                   
053197,000667: 11,3500           02046                                    PHIV                                  
053198,000668: 11,3501           36046                           STCALL   PHIV                                  
053199,000669: 11,3502           23646                                    DIFEQCOM                              
053200,000670: 11,3503           57345        DIFEQ+2            DLOAD    DMPR                                  
053201,000671: 11,3504           02100                                    H                                     
053202,000672: 11,3505           25774                                    DP2/3                                 
053203,000673: 11,3506           74206                           PUSH     VXSC                                  
053204,000674: 11,3507           02046                                    PHIV                                  
053205,000675: 11,3510           53372                           VSL1     VAD                                   
053206,000676: 11,3511           01135                                    ZV                                    
053207,000677: 11,3512           53361                           VXSC     VAD                                   
053208,000678: 11,3513           02100                                    H                                     
053209,000679: 11,3514           01127                                    YV                                    
053210,000680: 11,3515           25127                           STOVL    YV                                    
053211,000681: 11,3516           02062                                    FV                                    
053212,000682: 11,3517           53322                           VSR3     VAD                                   
053213,000683: 11,3520           02054                                    PSIV                                  
053214,000684: 11,3521           76561                           VXSC     VSL1                                  
053215,000685: 11,3522           77655                           VAD                                            
053216,000686: 11,3523           01135                                    ZV                                    
053217,000687: 11,3524           01135                           STORE    ZV                                    
053218,000688: 11,3525           45014                           BOFF     CALL                                  
053219,000689: 11,3526           00341                                    JSWITCH                               
053220,000690: 11,3527           23577                                    ENDSTATE                              
053221,000691: 11,3530           11244                                    GRP2PC                                
053222,000692: 11,3531           77354                           LXA,2    VLOAD                                 
053223,000693: 11,3532           01117                                    COLREG                                
053224,000694: 11,3533           01135                                    ZV                                    
053225,000695: 11,3534           77732                           VSL3                                           #  ADJUST W-POSITION FOR STORAGE
053226,000696: 11,3535           12467                           STORE    W          +54D,2                     
053227,000697: 11,3536           77775                           VLOAD                                          
053228,000698: 11,3537           01127                                    YV                                    
053229,000699: 11,3540           40132                           VSL3     BOV                                   
053230,000700: 11,3541           23671                                    WMATEND                               
053231,000701: 11,3542           12401                           STORE    W,2                                   
053232,000702: 
053233,000703: 11,3543           77624                           CALL                                           
053234,000704: 11,3544           11244                                    GRP2PC                                

Page 1242

053236,000706: 11,3545           66354                           LXA,2    SSP                                   
053237,000707: 11,3546           01117                                    COLREG                                
053238,000708: 11,3547           00052                                    S2                                    
053239,000709: 11,3550           00000                                    0                                     
053240,000710: 11,3551           67114                           INCR,2   SXA,2                                 
053241,000711: 11,3552           00006                                    6                                     
053242,000712: 11,3553           01126                                    YV                                    
053243,000713: 11,3554           45104                           TIX,2    CALL                                  
053244,000714: 11,3555           23642                                    RELOADSV                              
053245,000715: 11,3556           11244                                    GRP2PC                                
053246,000716: 11,3557           67154                           LXA,2    SXA,2                                 
053247,000717: 11,3560           01126                                    YV                                    
053248,000718: 11,3561           01117                                    COLREG                                
053249,000719: 
053250,000720: 11,3562           77624        NEXTCOL            CALL                                           
053251,000721: 11,3563           11244                                    GRP2PC                                
053252,000722: 11,3564           76754                           LXA,2    VLOAD*                                
053253,000723: 11,3565           01117                                    COLREG                                
053254,000724: 11,3566           75376                                    W,2                                   
053255,000725: 11,3567           77722                           VSR3                                           #  ADJUST W-POSITION FOR INTEGRATION
053256,000726: 11,3570           01127                           STORE    YV                                    
053257,000727: 11,3571           76173                           VLOAD*   AXT,1                                 
053258,000728: 11,3572           75310                                    W          +54D,2                     
053259,000729: 11,3573           00000                                    0                                     
053260,000730: 11,3574           77722                           VSR3                                           #  ADJUST W-VELOCITY FOR INTEGRATION
053261,000731: 11,3575           35135                           STCALL   ZV                                    
053262,000732: 11,3576           23342                                    DIFEQ0                                
053263,000733: 
053264,000734: 11,3577           77200        ENDSTATE           BOV      VLOAD                                 
053265,000735: 11,3600           22774                                    GOBAQUE                               
053266,000736: 11,3601           01135                                    ZV                                    
053267,000737: 11,3602           25527                           STOVL    TNUV                                  
053268,000738: 11,3603           01127                                    YV                                    
053269,000739: 11,3604           01521                           STORE    TDELTAV                               
053270,000740: 11,3605           43014                           BON      BOFF                                  
053271,000741: 11,3606           04715                                    MIDAVFLG                              
053272,000742: 11,3607           27633                                    CKMID2                                #  CHECK FOR MID2 BEFORE GOING TO TIMEINC
053273,000743: 11,3610           01756                                    DIM0FLAG                              
053274,000744: 11,3611           27257                                    TESTLOOP                              
053275,000745: 11,3612           77776                           EXIT                                           
053276,000746: 11,3613           05353                           TC       PHASCHNG                              
053277,000747: 11,3614           04022                           OCT      04022                                 #  PHASE 1
053278,000748: 11,3615           05504                           TC       UPFLAG                                #  PHASE CHANGE HAS OCCURRED BETWEEN
053279,000749: 11,3616           00236                           ADRES    REINTFLG                              #  INTSTALL AND INTWAKE
053280,000750: 11,3617           06037                           TC       INTPRET                               
053281,000751: 11,3620           77731                           SSP                                            
053282,000752: 11,3621           00053                                    QPRET                                 
053283,000753: 11,3622           23627                                    AMOVED                                
053284,000754: 11,3623           52014                           BON      GOTO                                  
053285,000755: 11,3624           01714                                    VINTFLAG                              

Page 1243

053287,000757: 11,3625           26661                                    ATOPCSM                               
053288,000758: 11,3626           26734                                    ATOPLEM                               
053289,000759: 11,3627           66214        AMOVED             SET      SSP                                   
053290,000760: 11,3630           00061                                    JSWITCH                               
053291,000761: 11,3631           01120                                    COLREG                                
053292,000762: 11,3632           77741                           DEC      -30        B-14                       
053293,000763: 11,3633           66214                           BOFF     SSP                                   
053294,000764: 11,3634           01755                                    D6OR9FLG                              
053295,000765: 11,3635           23562                                    NEXTCOL                               
053296,000766: 11,3636           01120                                    COLREG                                
053297,000767: 11,3637           77717                           DEC      -48        B-14                       
053298,000768: 11,3640           77650                           GOTO                                           
053299,000769: 11,3641           23562                                    NEXTCOL                               
053300,000770: 
053301,000771: 11,3642           77745        RELOADSV           DLOAD                                          #  RELOAD TEMPORARY STATE VECTOR
053302,000772: 11,3643           01116                                    TDEC                                  #  FROM PERMANENT IN CASE OF
053303,000773: 11,3644           34041                           STCALL   TDEC1                                 
053304,000774: 11,3645           27141                                    INTEGRV2                              #  BY STARTING AT INTEGRV2.
053305,000775: 11,3646           43345        DIFEQCOM           DLOAD    DAD                                   #  INCREMENT H AND DIFEQCNT.
053306,000776: 11,3647           02076                                    DT/2                                  
053307,000777: 11,3650           02100                                    H                                     
053308,000778: 11,3651           66110                           INCR,1   SXA,1                                 
053309,000779: 11,3652           77763                           DEC      -12        B-14                       
053310,000780: 11,3653           01500                                    DIFEQCNT                              #  DIFEQCNT SET FOR NEXT ENTRY.
053311,000781: 11,3654           02100                           STORE    H                                     
053312,000782: 11,3655           74561                           VXSC     VSR1                                  
053313,000783: 11,3656           02062                                    FV                                    
053314,000784: 11,3657           74255                           VAD      VXSC                                  
053315,000785: 11,3660           01135                                    ZV                                    
053316,000786: 11,3661           02100                                    H                                     
053317,000787: 11,3662           77655                           VAD                                            
053318,000788: 11,3663           01127                                    YV                                    
053319,000789: 11,3664           02032                           STORE    ALPHAV                                
053320,000790: 11,3665           52014                           BON      GOTO                                  
053321,000791: 11,3666           00301                                    JSWITCH                               
053322,000792: 11,3667           23705                                    DOW..                                 
053323,000793: 11,3670           22476                                    FBR3                                  
053324,000794: 
053325,000795: 11,3671           43014        WMATEND            CLEAR    CLEAR                                 
053326,000796: 11,3672           01676                                    DIM0FLAG                              #  DONT INTEGRATE W THIS TIME
053327,000797: 11,3673           01671                                    ORBWFLAG                              #  INVALIDATE W
053328,000798: 11,3674           77614                           CLEAR                                          
053329,000799: 11,3675           02676                                    RENDWFLG                              
053330,000800: 11,3676           77414                           SET      EXIT                                  
053331,000801: 11,3677           01472                                    STATEFLG                              #  PICK UP STATE VECTOR UPDATE
053332,000802: 11,3700           05567                           TC       ALARM                                 
053333,000803: 11,3701           00421                           OCT      421                                   
053334,000804: 11,3702           06037                           TC       INTPRET                               

Page 1244

053336,000806: 11,3703           77650                           GOTO                                           
053337,000807: 11,3704           27257                                    TESTLOOP                              #  FINISH INTEGRATING STATE VECTOR
053338,000808: 

Page 1245

053340,000810:                                                                                                  #  ORBITAL ROUTINE FOR EXTRAPOLATION OF THE W MATRIX.  IT COMPUTES THE SECOND DERIVATIVE OF EACH COLUMN POSITION
053341,000811:                                                                                                  #  VECTOR OF THE MATRIX AND CALLS THE NYSTROM INTEGRATION ROUTINES TO SOLVE THE DIFFERENTIAL EQUATIONS.  THE PROGRAM
053342,000812:                                                                                                  #  USES A TABLE OF VEHICLE POSITION VECTORS COMPUTED DURING THE INTEGRATION OF THE VEHICLES POSITION AND VELOCITY.
053343,000813: 
053344,000814: 11,3705           70754        DOW..              LXA,2    DLOAD*                                
053345,000815: 11,3706           02030                                    PBODY                                 
053346,000816: 11,3707           51770                                    MUEARTH,2                             
053347,000817: 11,3710           36072                           STCALL   BETAM                                 
053348,000818: 11,3711           23733                                    DOW..1                                
053349,000819: 11,3712           02062                           STORE    FV                                    
053350,000820: 11,3713           62014                           BOF      INCR,1                                
053351,000821: 11,3714           00342                                    MIDFLAG                               
053352,000822: 11,3715           23232                                    NBRANCH                               
053353,000823: 11,3716           77771                           DEC      -6         B-14                       
053354,000824: 11,3717           70744                           LXC,2    DLOAD*                                
053355,000825: 11,3720           02030                                    PBODY                                 
053356,000826: 11,3721           51772                                    MUEARTH    -2,2                       
053357,000827: 11,3722           36072                           STCALL   BETAM                                 
053358,000828: 11,3723           23733                                    DOW..1                                
053359,000829: 11,3724           50414                           BON      VSR6                                  
053360,000830: 11,3725           00303                                    MOONFLAG                              
053361,000831: 11,3726           23727                                    +1                                    
053362,000832: 11,3727           77655                           VAD                                            
053363,000833: 11,3730           02062                                    FV                                    
053364,000834: 11,3731           36062                           STCALL   FV                                    
053365,000835: 11,3732           23232                                    NBRANCH                               
053366,000836: 11,3733           60575        DOW..1             VLOAD    VSR4                                  
053367,000837: 11,3734           02032                                    ALPHAV                                
053368,000838: 11,3735           53513                           PDVL*    UNIT                                  
053369,000839: 11,3736           02132                                    VECTAB,1                              
053370,000840: 11,3737           46315                           PDVL     VPROJ                                 
053371,000841: 11,3740           02032                                    ALPHAV                                
053372,000842: 11,3741           52361                           VXSC     VSU                                   
053373,000843: 11,3742           25764                                    3/4                                   
053374,000844: 11,3743           60325                           PDDL     NORM                                  
053375,000845: 11,3744           00045                                    36D                                   
053376,000846: 11,3745           00052                                    S2                                    
053377,000847: 11,3746           63406                           PUSH     DSQ                                   
053378,000848: 11,3747           77605                           DMP                                            
053379,000849: 11,3750           65301                           NORM     PDDL                                  
053380,000850: 11,3751           00043                                    34D                                   
053381,000851: 11,3752           02072                                    BETAM                                 
053382,000852: 11,3753           56342                           SR1      DDV                                   
053383,000853: 11,3754           77761                           VXSC                                           
053384,000854: 11,3755           57154                           LXA,2    XAD,2                                 
053385,000855: 11,3756           00051                                    S2                                    
053386,000856: 11,3757           00051                                    S2                                    
053387,000857: 11,3760           57074                           XAD,2    XAD,2                                 
053388,000858: 11,3761           00051                                    S2                                    
053389,000859: 11,3762           00042                                    34D                                   
053390,000860: 11,3763           43457                           VSL*     RVQ                                   

Page 1246

053392,000862: 11,3764           57606                                    0          -8D,2                      
053393,000863: 
053394,000864:                                                                                                  #  ****************************************************************************************************************
053395,000865:                                                                                                  #  ****************************************************************************************************************
053396,000866: 11,3765           43131        SETITCTR           SSP      BOFF                                  #  SET ITERCTR FOR LAMBERT CALLS.  THIS
053397,000867: 11,3766           00027                                    ITERCTR                               #  CODING BELONGS IN INITVEL AND IS HERE
053398,000868: 11,3767           00024                                    20D                                   #  FOR PURPOSES OF A ONE-MODULE
053399,000869: 11,3770           03752                                    AVEGFLAG                              #  REMANUFACTURE ONLY.  CODING SHOULD
053400,000870: 11,3771           25212                                    LAMBERT                               #  BE MOVED BACK TO INITVEL FOR LUMINARY 1B
053401,000871: 11,3772           52131                           SSP      GOTO                                  
053402,000872: 11,3773           00027                                    ITERCTR                               
053403,000873: 11,3774           00005                                    5                                     
053404,000874: 11,3775           25212                                    LAMBERT                               
053405,000875:                                                                                                  #  ****************************************************************************************************************
053406,000876:                                                                                                  #  ****************************************************************************************************************
053407,000877: 
053408,000878: 12,2000                                           SETLOC   ORBITAL1                              
053409,000879: 12,2000                                           BANK                                           
053410,000880: 
053411,000881: 12,3745           04631 23146  3/5                2DEC     .6         B-2                        
053412,000882: 
053413,000883: 12,3747           14000 00000  THREE/8            2DEC     .375                                  
053414,000884: 
053415,000885: 12,3751           02314 31463  .3D                2DEC     .3         B-2                        
053416,000886: 
053417,000887: 12,3753           01400 00000  3/64               2DEC     3          B-6                        
053418,000888: 
053419,000889: 12,3755           10000 00000  DP1/4              2DEC     .25                                   
053420,000890: 
053421,000891: 12,3757  12,3755               DQUARTER           EQUALS   DP1/4                                 
053422,000892: 12,3757  12,3755               POS1/4             EQUALS   DP1/4                                 
053423,000893: 12,3757           03000 00000  3/32               2DEC     3          B-5                        
053424,000894: 
053425,000895: 12,3761           36000 00000  15/16              2DEC     15.        B-4                        
053426,000896: 
053427,000897: 12,3763           30000 00000  3/4                2DEC     3.0        B-2                        
053428,000898: 
053429,000899: 12,3765           22525 12525  7/12               2DEC     .5833333333                            
053430,000900: 
053431,000901: 12,3767           22000 00000  9/16               2DEC     9          B-4                        
053432,000902: 
053433,000903: 12,3771           01200 00000  5/128              2DEC     5          B-7                        
053434,000904: 
053435,000905: 12,3773  12,2006               DPZERO             EQUALS   ZEROVEC                               
053436,000906: 12,3773           25252 25253  DP2/3              2DEC     .6666666667                            
053437,000907: 
053438,000908: 12,3775  12,3773               2/3                EQUALS   DP2/3                                 
053439,000909: 12,3775           00027        OCT27              OCT      27                                    
053440,000910: 

Page 1247

053442,000912: 13,3675                                           BANK     13                                    
053443,000913: 13,2000                                           SETLOC   ORBITAL2                              
053444,000914: 13,2000                                           BANK                                           
053445,000915:                                                                                                  #  IT IS VITAL THAT THE FOLLOWING CONSTANTS NOT BE SHUFFLED
053446,000916: 13,3675           77764                           DEC      -11        B-14                       
053447,000917: 13,3676           77775                           DEC      -2         B-14                       
053448,000918: 13,3677           77766                           DEC      -9         B-14                       
053449,000919: 13,3700           77771                           DEC      -6         B-14                       
053450,000920: 13,3701           77775                           DEC      -2         B-14                       
053451,000921: 13,3702           77775                           DEC      -2         B-14                       
053452,000922: 13,3703           00000                           DEC      0          B-14                       
053453,000923: 13,3704           77763                           DEC      -12        B-14                       
053454,000924: 13,3705           77766                           DEC      -9         B-14                       
053455,000925: 13,3706           77773                           DEC      -4         B-14                       
053456,000926: 13,3707           77770        ASCALE             DEC      -7         B-14                       
053457,000927: 13,3710           77771                           DEC      -6         B-14                       
053458,000928: 13,3711           24000 00000  5/8                2DEC     5          B-3                        
053459,000929: 
053460,000930: 13,3713           74631 63145  -1/12              2DEC     -.1                                   
053461,000931: 
053462,000932: 13,3715           00243 32703  RECRATIO           2DEC     .01                                   
053463,000933: 
053464,000934: 13,3717           03654 21000  RSPHERE            2DEC     64373.76   E3         B-29            
053465,000935: 
053466,000936: 13,3721           03654 21000  RDM                2DEC     16093.44   E3         B-27            
053467,000937: 
053468,000938: 13,3723           04627 25200  RDE                2DEC     80467.20   E3         B-29            
053469,000939: 
053470,000940: 13,3725                        RATT               EQUALS   00                                    
053471,000941: 13,3725                        VATT               EQUALS   6D                                    
053472,000942: 13,3725                        TAT                EQUALS   12D                                   
053473,000943: 13,3725                        RATT1              EQUALS   14D                                   
053474,000944: 13,3725                        VATT1              EQUALS   20D                                   
053475,000945: 13,3725                        MU(P)              EQUALS   26D                                   
053476,000946: 13,3725                        TDEC1              EQUALS   32D                                   
053477,000947: 13,3725                        URPV               EQUALS   14D                                   
053478,000948: 13,3725     0022               COSPHI/2           EQUALS   URPV       +4                         
053479,000949: 13,3725                        UZ                 EQUALS   20D                                   
053480,000950: 13,3725                        TVEC               EQUALS   26D                                   
053481,000951: 
053482,000952: 13,3725           71214        QUALITY1           BOF      DLOAD                                 
053483,000953: 13,3726           00343                                    MOONFLAG                              
053484,000954: 13,3727           23232                                    NBRANCH                               
053485,000955: 13,3730           00017                                    URPV                                  
053486,000956: 13,3731           77716                           DSQ                                            
053487,000957: 13,3732           63525        QUALITY2           PDDL     DSQ                                   #  SQUARE INTO 2D, B2
053488,000958: 13,3733           00021                                    URPV       +2                         #  Y COMPONENT, B1
053489,000959: 13,3734           77625                           DSU                                            
053490,000960: 13,3735           74205                           DMP      VXSC                                  #  5(Y**2-X**2)UR
053491,000961: 13,3736           27712                                    5/8                                   #  CONSTANT, 5B3
053492,000962: 13,3737           00017                                    URPV                                  #  VECTOR.  RESULT MAXIMUM IS 5, SCALING

Page 1248

053494,000964:                                                                                                  #  HERE B6
053495,000965: 13,3740           65332                           VSL3     PDDL                                  #  STORE SCALED B3 IN 2D, 4D, 6D FOR XYZ
053496,000966: 13,3741           00017                                    URPV                                  #  X COMPONENT, B1
053497,000967: 13,3742           43342                           SR1      DAD                                   #  2 X X COMPONENT FOR B3 SCALING
053498,000968: 13,3743           00003                                    2D                                    #  ADD TO VECTOR X COMPONENT OF ANSWER,
053499,000969:                                                                                                  #  SAME AS MULTIPLYING BY UNITX.  MAX IS 7.
053500,000970: 13,3744           14003                           STODL    2D                                    
053501,000971: 13,3745           00021                                    URPV       +2                         #  Y COMPONENT, B1
053502,000972: 13,3746           44342                           SR1      BDSU                                  #  2 X Y COMPONENT FOR B3 SCALING
053503,000973: 13,3747           00005                                    4D                                    #  SUBTRACT FROM VECTOR Y COMPONENT OF
053504,000974:                                                                                                  #  ANSWER, SAME AS MULTIPLYING BY UNITY.
053505,000975:                                                                                                  #  MAX IS 7.
053506,000976: 13,3750           00005                           STORE    4D                                    #  2D HAS VECTOR, B3.
053507,000977: 13,3751           74335                           SLOAD    VXSC                                  #  MULTIPLY COEFFIECIENT TIMES VECTOR IN 2D
053508,000978: 13,3752           01353                                    E3J22R2M                              
053509,000979: 13,3753           43525                           PDDL     RVQ                                   #  J22 TERM X R**4 IN 2D, SCALED B61
053510,000980: 13,3754           00023                                    COSPHI/2                              #  SAME AS URPV +4  Z COMPONENT
053511,000981: 

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