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
	20'35 OCT. 28,1968
Note that the date is the date of the printout, not the date of the program revision.

052515,000002:                                                                                                  ## Copyright:   Public domain.
052516,000003:                                                                                                  ## Filename:    ORBITAL_INTEGRATION.agc
052517,000004:                                                                                                  ## Purpose:     Part of the source code for Luminary 1A build 099.
052518,000005:                                                                                                  ##              It is part of the source code for the Lunar Module's (LM)
052519,000006:                                                                                                  ##              Apollo Guidance Computer (AGC), for Apollo 11.
052520,000007:                                                                                                  ## Assembler:   yaYUL
052521,000008:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
052522,000009:                                                                                                  ## Website:     www.ibiblio.org/apollo.
052523,000010:                                                                                                  ## Pages:       1227-1248
052524,000011:                                                                                                  ## Mod history: 2009-05-26 RSB  Adapted from the corresponding 
052525,000012:                                                                                                  ##                              Luminary131 file, using page 
052526,000013:                                                                                                  ##                              images from Luminary 1A.
052527,000014:                                                                                                  ##              2009-06-05 RSB  Fixed 3 typos.
052528,000015:                                                                                                  ##              2009-06-06 RSB  Page 1248 was missing entirely for some reason.
052529,000016:                                                                                                  ##              2009-06-07 RSB  Corrected a typo.
052530,000017:                                                                                                  ##              2016-12-17 RSB  Proofed text comments with octopus/ProoferComments
052531,000018:                                                                                                  ##                              and corrected the errors found.
052532,000019:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
052533,000020:                                                                                                  ##                              Luminary 99 vs Comanche 55.
052534,000021:                                                                                                  ##              2017-08-17 RSB  Comment-text fixes identified from AP11ROPE scans.
052535,000022: 
052536,000023:                                                                                                  ## This source code has been transcribed or otherwise adapted from
052537,000024:                                                                                                  ## digitized images of a hardcopy from the MIT Museum.  The digitization
052538,000025:                                                                                                  ## was performed by Paul Fjeld, and arranged for by Deborah Douglas of
052539,000026:                                                                                                  ## the Museum.  Many thanks to both.  The images (with suitable reduction
052540,000027:                                                                                                  ## in storage size and consequent reduction in image quality as well) are
052541,000028:                                                                                                  ## available online at www.ibiblio.org/apollo.  If for some reason you
052542,000029:                                                                                                  ## find that the images are illegible, contact me at info@sandroid.org
052543,000030:                                                                                                  ## about getting access to the (much) higher-quality images which Paul
052544,000031:                                                                                                  ## actually created.
052545,000032:                                                                                                  ##
052546,000033:                                                                                                  ## Notations on the hardcopy document read, in part:
052547,000034:                                                                                                  ##
052548,000035:                                                                                                  ##      Assemble revision 001 of AGC program LMY99 by NASA 2021112-61
052549,000036:                                                                                                  ##      16:27 JULY 14, 1969 
052550,000037: 

Page 1227

052552,000039:                                                                                                  #  DELETE
052553,000040: 13,3675                                           BANK     13                                    
052554,000041: 11,2000                                           SETLOC   ORBITAL                               
052555,000042: 11,2000                                           BANK                                           
052556,000043: 11,2376                                           COUNT*   $$/ORBIT                              
052557,000044: 
052558,000045:                                                                                                  #  DELETE
052559,000046: 11,2376           40354        KEPPREP            LXA,2    SETPD                                 
052560,000047: 11,2377           02030                                    PBODY                                 
052561,000048: 11,2400           00001                                    0                                     
052562,000049: 11,2401           75543                           DLOAD*   SQRT                                  #  SQRT(MU) (+18 OR +15)         0D      PL 2D
052563,000050: 11,2402           51770                                    MUEARTH,2                             
052564,000051: 11,2403           53515                           PDVL     UNIT                                  #                                        PL 8D
052565,000052: 11,2404           01535                                    RCV                                   
052566,000053: 11,2405           60325                           PDDL     NORM                                  #  NORM R (+29 OR +27 - N1)      2D      PL 4D
052567,000054: 11,2406           00045                                    36D                                   
052568,000055: 11,2407           00047                                    X1                                    
052569,000056: 11,2410           77715                           PDVL                                           
052570,000057: 11,2411           65241                           DOT      PDDL                                  #  F*SQRT(MU) (+7 OR +5)         4D      PL 6D
052571,000058: 11,2412           01543                                    VCV                                   
052572,000059: 11,2413           02074                                    TAU.                                  #  (+28)
052573,000060: 11,2414           60225                           DSU      NORM                                  
052574,000061: 11,2415           01551                                    TC                                    
052575,000062: 11,2416           00051                                    S1                                    
052576,000063: 11,2417           77742                           SR1                                            
052577,000064: 11,2420           65271                           DDV      PDDL                                  
052578,000065: 11,2421           00003                                    2D                                    
052579,000066: 11,2422           41405                           DMP      PUSH                                  #  FS (+6 +N1-N2)                6D      PL 8D
052580,000067: 11,2423           00005                                    4D                                    
052581,000068: 11,2424           65316                           DSQ      PDDL                                  #  (FS)SQ (+12 +2(N1-N2))        8D      PL 10D
052582,000069: 11,2425           00005                                    4D                                    
052583,000070: 11,2426           64716                           DSQ      PDDL*                                 #  SSQ/MU (-2 OR +2(N1-N2))      10D     PL 12D
052584,000071: 11,2427           51770                                    MUEARTH,2                             
052585,000072: 11,2430           40442                           SR3      SR4                                   
052586,000073: 11,2431           47515                           PDVL     VSQ                                   #  PREALIGN MU (+43 OR +37)      12D     PL 14D
052587,000074: 11,2432           01543                                    VCV                                   
052588,000075: 11,2433           44205                           DMP      BDSU                                  #                                        PL 12D
052589,000076: 11,2434           00045                                    36D                                   
052590,000077: 11,2435           41271                           DDV      DMP                                   #                                        PL 10D
052591,000078: 11,2436           00003                                    2D                                    #  -(1/R-ALPHA) (+12 +3N1-2N2)
052592,000079: 11,2437           53605                           DMP      SL*                                   
052593,000080: 11,2440           25774                                    DP2/3                                 
052594,000081: 11,2441           20176                                    0          -3,1                       #  10L(1/R-ALPHA) (+13 +2(N1-N2))
052595,000082: 11,2442           43260                           XSU,1    DAD                                   #  2(FS)SQ - ETCETRA                     PL 8D
052596,000083: 11,2443           00050                                    S1                                    #  X1 = N2-N1
052597,000084: 11,2444           45257                           SL*      DSU                                   #  -FS+2(FS)SQ ETC (+6 +N1-N2)           PL 6D
052598,000085: 11,2445           20211                                    8D,1                                  
052599,000086: 11,2446           41205                           DMP      DMP                                   
052600,000087: 11,2447           00001                                    0D                                    
052601,000088: 11,2450           00005                                    4D                                    
052602,000089: 11,2451           53657                           SL*      SL*                                   

Page 1228

052604,000091: 11,2452           20211                                    8D,1                                  
052605,000092: 11,2453           20201                                    0,1                                   #  S(-FS(1-2FS)-1/6...) (+17 OR +16)
052606,000093: 11,2454           65215                           DAD      PDDL                                  #                                        PL 6D
052607,000094: 11,2455           01553                                    XKEP                                  
052608,000095: 11,2456           53605                           DMP      SL*                                   #  S(+17 OR +16)
052609,000096: 11,2457           00001                                    0D                                    
052610,000097: 11,2460           20202                                    1,1                                   
052611,000098: 11,2461           43204                           BOVB     DAD                                   
052612,000099: 11,2462           57753                                    TCDANZIG                              
052613,000100: 11,2463           77626                           STADR                                          
052614,000101: 11,2464           75647                           STORE    XKEPNEW                               
052615,000102: 11,2465           74020                           STQ      AXC,1                                 
052616,000103: 11,2466           02112                                    KEPRTN                                
052617,000104: 11,2467           00012                           DEC      10         B-14                       
052618,000105: 11,2470           74014                           BON      AXC,1                                 
052619,000106: 11,2471           00303                                    MOONFLAG                              
052620,000107: 11,2472           24023                                    KEPLERN                               
052621,000108: 11,2473           00002                           DEC      2          B-14                       
052622,000109: 11,2474           77650                           GOTO                                           
052623,000110: 11,2475           24023                                    KEPLERN                               
052624,000111: 

Page 1229

052626,000113: 11,2476           66350        FBR3               LXA,1    SSP                                   
052627,000114: 11,2477           01500                                    DIFEQCNT                              
052628,000115: 11,2500           00051                                    S1                                    
052629,000116: 11,2501           77762                           DEC      -13        B-14                       
052630,000117: 11,2502           54345                           DLOAD    SR                                    
052631,000118: 11,2503           02076                                    DT/2                                  
052632,000119: 11,2504           20612                                    9D                                    
052633,000120: 11,2505           61500                           TIX,1    ROUND                                 
052634,000121: 11,2506           22507                                    +1                                    
052635,000122: 11,2507           43206                           PUSH     DAD                                   
052636,000123: 11,2510           01551                                    TC                                    
052637,000124: 11,2511           16074                           STODL    TAU.                                  
052638,000125: 11,2512           77615                           DAD                                            
052639,000126: 11,2513           01517                                    TET                                   
052640,000127: 11,2514           35517                           STCALL   TET                                   
052641,000128: 11,2515           22376                                    KEPPREP                               
052642,000129: 

Page 1230

052644,000131:                                                                                                  #  AGC ROUTINE TO COMPUTE ACCELERATION COMPONENTS.
052645,000132: 
052646,000133: 11,2516           73150        ACCOMP             LXA,1    LXA,2                                 
052647,000134: 11,2517           02030                                    PBODY                                 
052648,000135: 11,2520           02030                                    PBODY                                 
052649,000136: 11,2521           77775                           VLOAD                                          
052650,000137: 11,2522           24007                                    ZEROVEC                               
052651,000138: 11,2523           26062                           STOVL    FV                                    
052652,000139: 11,2524           02032                                    ALPHAV                                
052653,000140: 11,2525           53257                           VSL*     VAD                                   
052654,000141: 11,2526           57605                                    0          -7,2                       
052655,000142: 11,2527           01535                                    RCV                                   
052656,000143: 11,2530           02040                           STORE    BETAV                                 
052657,000144: 11,2531           65014                           BOF      XCHX,2                                
052658,000145: 11,2532           01756                                    DIM0FLAG                              
052659,000146: 11,2533           22540                                    +5                                    
052660,000147: 11,2534           01500                                    DIFEQCNT                              
052661,000148: 11,2535           12132                           STORE    VECTAB,2                              
052662,000149: 11,2536           77724                           XCHX,2                                         
052663,000150: 11,2537           01500                                    DIFEQCNT                              
052664,000151: 11,2540           53575                           VLOAD    UNIT                                  
052665,000152: 11,2541           02032                                    ALPHAV                                
052666,000153: 11,2542           16032                           STODL    ALPHAV                                
052667,000154: 11,2543           00045                                    36D                                   
052668,000155: 11,2544           02070                           STORE    ALPHAM                                
052669,000156: 11,2545           77624                           CALL                                           
052670,000157: 11,2546           22650                                    GAMCOMP                               
052671,000158: 11,2547           66175                           VLOAD    SXA,1                                 
052672,000159: 11,2550           02040                                    BETAV                                 
052673,000160: 11,2551           00051                                    S2                                    
052674,000161: 11,2552           16032                           STODL    ALPHAV                                
052675,000162: 11,2553           02072                                    BETAM                                 
052676,000163: 11,2554           02070                           STORE    ALPHAM                                
052677,000164: 11,2555           71214                           BOF      DLOAD                                 
052678,000165: 11,2556           00342                                    MIDFLAG                               
052679,000166: 11,2557           23022                                    OBLATE                                
052680,000167: 11,2560           01517                                    TET                                   
052681,000168: 11,2561           77624                           CALL                                           
052682,000169: 11,2562           33664                                    LSPOS                                 
052683,000170: 11,2563           72174                           AXT,2    LXA,1                                 
052684,000171: 11,2564           00002                                    2                                     
052685,000172: 11,2565           00051                                    S2                                    
052686,000173: 11,2566           77614                           BOF                                            
052687,000174: 11,2567           00343                                    MOONFLAG                              
052688,000175: 11,2570           22573                                    +3                                    
052689,000176: 11,2571           77076                           VCOMP    AXT,2                                 
052690,000177: 11,2572           00000                                    0                                     
052691,000178: 11,2573           02040                           STORE    BETAV                                 
052692,000179: 11,2574           26105                           STOVL    RPQV                                  

Page 1231

052694,000181: 11,2575           00003                                    2D                                    
052695,000182: 11,2576           02122                           STORE    RPSV                                  
052696,000183: 11,2577           45335                           SLOAD    DSU                                   
052697,000184: 11,2600           01012                                    MODREG                                
052698,000185: 11,2601           25776                                    OCT27                                 
052699,000186: 11,2602           43030                           BHIZ     BOF                                   
052700,000187: 11,2603           22606                                    +3                                    
052701,000188: 11,2604           01756                                    DIM0FLAG                              
052702,000189: 11,2605           22622                                    GETRPSV                               
052703,000190: 11,2606           74375                           VLOAD    VXSC                                  
052704,000191: 11,2607           02032                                    ALPHAV                                
052705,000192: 11,2610           02070                                    ALPHAM                                
052706,000193: 11,2611           52257                           VSR*     VSU                                   
052707,000194: 11,2612           57175                                    1,2                                   
052708,000195: 11,2613           02040                                    BETAV                                 
052709,000196: 11,2614           77724                           XCHX,2                                         
052710,000197: 11,2615           01500                                    DIFEQCNT                              
052711,000198: 11,2616           12140                           STORE    VECTAB     +6,2                       
052712,000199: 11,2617           02114                           STORE    RQVV                                  
052713,000200: 11,2620           77724                           XCHX,2                                         
052714,000201: 11,2621           01500                                    DIFEQCNT                              
052715,000202: 11,2622           62175        GETRPSV            VLOAD    INCR,1                                
052716,000203: 11,2623           02105                                    RPQV                                  
052717,000204: 11,2624           00004                                    4                                     
052718,000205: 11,2625           43014                           CLEAR    BOF                                   
052719,000206: 11,2626           04260                                    RPQFLAG                               
052720,000207: 11,2627           00343                                    MOONFLAG                              
052721,000208: 11,2630           22635                                    +5                                    
052722,000209: 11,2631           53261                           VSR      VAD                                   
052723,000210: 11,2632           20612                                    9D                                    
052724,000211: 11,2633           02122                                    RPSV                                  
052725,000212: 11,2634           02122                           STORE    RPSV                                  
052726,000213: 11,2635           77624                           CALL                                           
052727,000214: 11,2636           22650                                    GAMCOMP                               
052728,000215: 11,2637           62174                           AXT,2    INCR,1                                
052729,000216: 11,2640           00004                                    4                                     
052730,000217: 11,2641           00004                                    4                                     
052731,000218: 11,2642           77775                           VLOAD                                          
052732,000219: 11,2643           02122                                    RPSV                                  
052733,000220: 11,2644           36040                           STCALL   BETAV                                 
052734,000221: 11,2645           22650                                    GAMCOMP                               
052735,000222: 11,2646           77650                           GOTO                                           
052736,000223: 11,2647           23022                                    OBLATE                                
052737,000224: 11,2650           74575        GAMCOMP            VLOAD    VSR1                                  
052738,000225: 11,2651           02040                                    BETAV                                 
052739,000226: 11,2652           40236                           VSQ      SETPD                                 
052740,000227: 11,2653           00001                                    0                                     
052741,000228: 11,2654           61501                           NORM     ROUND                                 
052742,000229: 11,2655           00040                                    31D                                   
052743,000230: 11,2656           60325                           PDDL     NORM                                  #  NORMED B SQUARED TO PD LIST

Page 1232

052745,000232: 11,2657           02070                                    ALPHAM                                #  NORMALIZE (LESS ONE) LENGTH OF ALPHA
052746,000233: 11,2660           00041                                    32D                                   #  SAVING NORM SCALE FACTOR IN X1
052747,000234: 11,2661           63342                           SR1      PDVL                                  
052748,000235: 11,2662           02040                                    BETAV                                 #  C(PDL+2) = ALMOST NORMED ALPHA
052749,000236: 11,2663           77656                           UNIT                                           
052750,000237: 11,2664           16040                           STODL    BETAV                                 
052751,000238: 11,2665           00045                                    36D                                   
052752,000239: 11,2666           02072                           STORE    BETAM                                 
052753,000240: 11,2667           55301                           NORM     BDDV                                  #  FORM NORMALIZED QUOTIENT ALPHAM/BETAM
052754,000241: 11,2670           00042                                    33D                                   
052755,000242: 11,2671           41562                           SR1R     PUSH                                  #  C(PDL+2) = ALMOST NORMALIZED RHO.
052756,000243: 11,2672           77743                           DLOAD*                                         
052757,000244: 11,2673           27710                                    ASCALE,1                              
052758,000245: 11,2674           00051                           STORE    S1                                    
052759,000246: 11,2675           57124                           XCHX,2   XAD,2                                 
052760,000247: 11,2676           00050                                    S1                                    
052761,000248: 11,2677           00040                                    32D                                   
052762,000249: 11,2700           71264                           XSU,2    DLOAD                                 
052763,000250: 11,2701           00041                                    33D                                   
052764,000251: 11,2702           00003                                    2D                                    
052765,000252: 11,2703           65057                           SR*      XCHX,2                                
052766,000253: 11,2704           57177                                    0          -1,2                       
052767,000254: 11,2705           00050                                    S1                                    
052768,000255: 11,2706           74406                           PUSH     SR1R                                  #  RHO/4 TO 4D
052769,000256: 11,2707           50315                           PDVL     DOT                                   
052770,000257: 11,2710           02032                                    ALPHAV                                
052771,000258: 11,2711           02040                                    BETAV                                 
052772,000259: 11,2712           44372                           SL1R     BDSU                                  #  (RHO/4) - 2(ALPHAV/2.BETAV/2)
052773,000260: 11,2713           57206                           PUSH     DMPR                                  #  TO PDL+6
052774,000261: 11,2714           00005                                    4                                     
052775,000262: 11,2715           77752                           SL1                                            
052776,000263: 11,2716           43206                           PUSH     DAD                                   
052777,000264: 11,2717           25756                                    DQUARTER                              
052778,000265: 11,2720           75406                           PUSH     SQRT                                  
052779,000266: 11,2721           41475                           DMPR     PUSH                                  
052780,000267: 11,2722           00013                                    10D                                   
052781,000268: 11,2723           43352                           SL1      DAD                                   
052782,000269: 11,2724           25756                                    DQUARTER                              
052783,000270: 11,2725           43325                           PDDL     DAD                                   #  (1/4)+2((Q+1)/4)      TO PD+14D
052784,000271: 11,2726           00013                                    10D                                   
052785,000272: 11,2727           24005                                    HALFDP                                
052786,000273: 11,2730           72475                           DMPR     SL1                                   
052787,000274: 11,2731           00011                                    8D                                    
052788,000275: 11,2732           56215                           DAD      DDV                                   
052789,000276: 11,2733           25750                                    THREE/8                               
052790,000277: 11,2734           00017                                    14D                                   
052791,000278: 11,2735           74275                           DMPR     VXSC                                  
052792,000279: 11,2736           00007                                    6                                     
052793,000280: 11,2737           02040                                    BETAV                                 #                -
052794,000281: 11,2740           64515                           PDVL     VSR3                                  #  (G/2)(C(PD+4))B/2 TO PD+16D

Page 1233

052796,000283: 11,2741           02032                                    ALPHAV                                
052797,000284: 11,2742           41455                           VAD      PUSH                                  #  A12 + C(PD+16D) TO PD+16D
052798,000285: 11,2743           41345                           DLOAD    DMP                                   
052799,000286: 11,2744           00001                                    0                                     
052800,000287: 11,2745           00015                                    12D                                   
052801,000288: 11,2746           61501                           NORM     ROUND                                 
052802,000289: 11,2747           00037                                    30D                                   
052803,000290: 11,2750           40665                           BDDV     DMP*                                  
052804,000291: 11,2751           00003                                    2                                     
052805,000292: 11,2752           51770                                    MUEARTH,2                             
052806,000293: 11,2753           74276                           DCOMP    VXSC                                  
052807,000294: 11,2754           57124                           XCHX,2   XAD,2                                 
052808,000295: 11,2755           00050                                    S1                                    
052809,000296: 11,2756           00051                                    S2                                    
052810,000297: 11,2757           55064                           XSU,2    XSU,2                                 
052811,000298: 11,2760           00036                                    30D                                   
052812,000299: 11,2761           00037                                    31D                                   
052813,000300: 11,2762           77600                           BOV                                            #  CLEAR OVIND
052814,000301: 11,2763           22764                                    +1                                    
052815,000302: 11,2764           65057                           VSR*     XCHX,2                                
052816,000303: 11,2765           57177                                    0          -1,2                       
052817,000304: 11,2766           00050                                    S1                                    
052818,000305: 11,2767           77655                           VAD                                            
052819,000306: 11,2770           02062                                    FV                                    
052820,000307: 11,2771           02062                           STORE    FV                                    
052821,000308: 11,2772           43400                           BOV      RVQ                                   #  RETURN IF NO OVERFLOW
052822,000309: 11,2773           22774                                    +1                                    
052823,000310: 11,2774           51575        GOBAQUE            VLOAD    ABVAL                                 
052824,000311: 11,2775           01521                                    TDELTAV                               
052825,000312: 11,2776           77654                           BZE                                            
052826,000313: 11,2777           23017                                    INT-ABRT                              
052827,000314: 11,3000           54345                           DLOAD    SR                                    
052828,000315: 11,3001           02100                                    H                                     
052829,000316: 11,3002           20612                                    9D                                    
052830,000317: 11,3003           44206                           PUSH     BDSU                                  
052831,000318: 11,3004           01551                                    TC                                    
052832,000319: 11,3005           16074                           STODL    TAU.                                  
052833,000320: 11,3006           01517                                    TET                                   
052834,000321: 11,3007           45425                           DSU      STADR                                 
052835,000322: 11,3010           42260                           STCALL   TET                                   
052836,000323: 11,3011           22376                                    KEPPREP                               
052837,000324: 11,3012           77624                           CALL                                           
052838,000325: 11,3013           23441                                    RECTIFY                               
052839,000326: 11,3014           77614                           SETGO                                          
052840,000327: 11,3015           04020                                    RPQFLAG                               
052841,000328: 11,3016           27257                                    TESTLOOP                              
052842,000329: 
052843,000330: 11,3017           77776        INT-ABRT           EXIT                                           
052844,000331: 11,3020           05652                           TC       POODOO                                
052845,000332: 11,3021           00430                           OCT      00430                                 
052846,000333: 

Page 1234

052848,000335:                                                                                                  #  THE OBLATE ROUTINE COMPUTES THE ACCELERATION DUE TO OBLATENESS.  IT USES THE UNIT OF THE VEHICLE
052849,000336:                                                                                                  #  POSITION VECTOR FOUND IN ALPHAV AND THE DISTANCE TO THE CENTER IN ALPHAM.  THIS IS ADDED TO THE SUM OF THE
052850,000337:                                                                                                  #  DISTURBING ACCELERATIONS IN FV AND THE PROPER DIFEQ STAGE IS CALLED VIA X1.
052851,000338: 
052852,000339: 11,3022           71354        OBLATE             LXA,2    DLOAD                                 
052853,000340: 11,3023           02030                                    PBODY                                 
052854,000341: 11,3024           02070                                    ALPHAM                                
052855,000342: 11,3025           44601                           SETPD    DSU*                                  
052856,000343: 11,3026           00001                                    0                                     
052857,000344: 11,3027           50053                                    RDE,2                                 
052858,000345: 11,3030           43044                           BPL      BOF                                   #  GET URPV
052859,000346: 11,3031           23232                                    NBRANCH                               
052860,000347: 11,3032           00343                                    MOONFLAG                              
052861,000348: 11,3033           23241                                    COSPHIE                               
052862,000349: 11,3034           65375                           VLOAD    PDDL                                  
052863,000350: 11,3035           02032                                    ALPHAV                                
052864,000351: 11,3036           01517                                    TET                                   
052865,000352: 11,3037           45125                           PDDL     CALL                                  
052866,000353: 11,3040           25746                                    3/5                                   
052867,000354: 11,3041           51670                                    R-TO-RP                               
052868,000355: 11,3042           00017                           STORE    URPV                                  
052869,000356: 11,3043           47375                           VLOAD    VXV                                   
052870,000357: 11,3044           02013                                    504LM                                 
052871,000358: 11,3045           24001                                    ZUNIT                                 
052872,000359: 11,3046           61255                           VAD      VXM                                   
052873,000360: 11,3047           24001                                    ZUNIT                                 
052874,000361: 11,3050           00025                                    MMATRIX                               
052875,000362: 11,3051           77656                           UNIT                                           #  POSSIBLY UNNECESSARY
052876,000363: 11,3052           00025        COMTERM            STORE    UZ                                    
052877,000364: 11,3053           57345                           DLOAD    DMPR                                  
052878,000365: 11,3054           00023                                    COSPHI/2                              
052879,000366: 11,3055           25760                                    3/32                                  
052880,000367: 11,3056           63525                           PDDL     DSQ                                   #  P2/64 TO PD0
052881,000368: 11,3057           00023                                    COSPHI/2                              
052882,000369: 11,3060           45275                           DMPR     DSU                                   
052883,000370: 11,3061           25762                                    15/16                                 
052884,000371: 11,3062           25754                                    3/64                                  
052885,000372: 11,3063           57206                           PUSH     DMPR                                  #  P3/32 TO PD2
052886,000373: 11,3064           00023                                    COSPHI/2                              
052887,000374: 11,3065           76405                           DMP      SL1R                                  
052888,000375: 11,3066           25766                                    7/12                                  
052889,000376: 11,3067           57325                           PDDL     DMPR                                  
052890,000377: 11,3070           00001                                    0                                     
052891,000378: 11,3071           25774                                    2/3                                   
052892,000379: 11,3072           41421                           BDSU     PUSH                                  #  P4/128 TO PD4
052893,000380: 11,3073           57275                           DMPR     DMPR                                  
052894,000381: 11,3074           00023                                    COSPHI/2                              #  BEGIN COMPUTING P5/1024
052895,000382: 11,3075           25770                                    9/16                                  
052896,000383: 11,3076           57325                           PDDL     DMPR                                  
052897,000384: 11,3077           00003                                    2                                     
052898,000385: 11,3100           25772                                    5/128                                 

Page 1235

052900,000387: 11,3101           77621                           BDSU                                           
052901,000388: 11,3102           77603                           DMP*                                           
052902,000389: 11,3103           51764                                    J4REQ/J3,2                            
052903,000390: 11,3104           43271                           DDV      DAD                                   #               -3
052904,000391: 11,3105           02070                                    ALPHAM                                #  (((P5/256)B 2  /R+P4/32)  /R+P3/8)ALPHAV
052905,000392: 11,3106           00005                                    4                                     #             4             3
052906,000393: 11,3107           56273                           DMPR*    DDV                                   
052907,000394: 11,3110           51760                                    2J3RE/J2,2                            
052908,000395: 11,3111           02070                                    ALPHAM                                
052909,000396: 11,3112           74215                           DAD      VXSC                                  
052910,000397: 11,3113           00003                                    2                                     
052911,000398: 11,3114           02032                                    ALPHAV                                
052912,000399: 11,3115           14033                           STODL    TVEC                                  
052913,000400: 11,3116           70403                           DMP*     SR1                                   
052914,000401: 11,3117           51764                                    J4REQ/J3,2                            
052915,000402: 11,3120           43271                           DDV      DAD                                   
052916,000403: 11,3121           02070                                    ALPHAM                                #                -3
052917,000404: 11,3122           50473                           DMPR*    SR3                                   
052918,000405: 11,3123           51760                                    2J3RE/J2,2                            #     3        4
052919,000406: 11,3124           43271                           DDV      DAD                                   
052920,000407: 11,3125           02070                                    ALPHAM                                
052921,000408: 11,3126           76561                           VXSC     VSL1                                  
052922,000409: 11,3127           00025                                    UZ                                    
052923,000410: 11,3130           77645                           BVSU                                           
052924,000411: 11,3131           00033                                    TVEC                                  
052925,000412: 11,3132           14033                           STODL    TVEC                                  
052926,000413: 11,3133           02070                                    ALPHAM                                
052927,000414: 11,3134           63501                           NORM     DSQ                                   
052928,000415: 11,3135           00047                                    X1                                    
052929,000416: 11,3136           60316                           DSQ      NORM                                  
052930,000417: 11,3137           00051                                    S1                                    #          4
052931,000418: 11,3140           54606                           PUSH     BDDV*                                 #  NORMED R  TO 0D
052932,000419: 11,3141           51754                                    J2REQSQ,2                             
052933,000420: 11,3142           40161                           VXSC     BOV                                   
052934,000421: 11,3143           00033                                    TVEC                                  
052935,000422: 11,3144           23145                                    +1                                    #  (RESET OVERFLOW INDICATOR)
052936,000423: 11,3145           56070                           XAD,1    XAD,1                                 
052937,000424: 11,3146           00046                                    X1                                    
052938,000425: 11,3147           00046                                    X1                                    
052939,000426: 11,3150           53670                           XAD,1    VSL*                                  
052940,000427: 11,3151           00050                                    S1                                    
052941,000428: 11,3152           20153                                    0          -22D,1                     
052942,000429: 11,3153           40055                           VAD      BOV                                   
052943,000430: 11,3154           02062                                    FV                                    
052944,000431: 11,3155           22774                                    GOBAQUE                               
052945,000432: 11,3156           36062                           STCALL   FV                                    
052946,000433: 11,3157           27725                                    QUALITY1                              
052947,000434: 
052948,000435: 11,3160           77716        QUALITY3           DSQ                                            #  J22 TERM X R**4 IN 2D, SCALED B61
052949,000436:                                                                                                  #  AS VECTOR.

Page 1236

052951,000438: 11,3161           41206                           PUSH     DMP                                   #  STORE COSPHI**2 SCALED B2 IN 8D
052952,000439: 11,3162           27712                                    5/8                                   #  5 SCALED B3
052953,000440: 11,3163           60525                           PDDL     SR2                                   #  PUT 5 COSPHI**2, D5, IN 8D.  GET
052954,000441:                                                                                                  #  COSPHI**2 D2 FROM 8D
052955,000442: 11,3164           44215                           DAD      BDSU                                  #  END UP WITH (1-7 COSPHI**2), B5
052956,000443: 11,3165           00011                                    8D                                    #  ADDING COSPHI**2 B4 SAME AS COSPHI**2
052957,000444:                                                                                                  #  X 2 D5
052958,000445: 11,3166           11043                                    D1/32                                 #  1 SCALED B5
052959,000446: 11,3167           41205                           DMP      DMP                                   
052960,000447: 11,3170           00017                                    URPV                                  #  X COMPONENT
052961,000448: 11,3171           27712                                    5/8                                   #  5 SCALED B3
052962,000449: 11,3172           56561                           VXSC     VSL5                                  #  AFTER SHIFT, SCALED B5
052963,000450: 11,3173           00017                                    URPV                                  #  VECTOR, B1.
052964,000451: 11,3174           77725                           PDDL                                           #  VECTOR INTO 8D, 10D, 12D, SCALED B5.
052965,000452:                                                                                                  #  GET 5 COSPHI**2 OUT OF 8D
052966,000453: 11,3175           43225                           DSU      DAD                                   
052967,000454: 11,3176           11043                                    D1/32                                 #  1 B5
052968,000455: 11,3177           00011                                    8D                                    #  X COMPONENT (SAME AS MULTIPLYING
052969,000456:                                                                                                  #  BY UNITX)
052970,000457: 11,3200           14011                           STODL    8D                                    
052971,000458: 11,3201           00017                                    URPV                                  #  X COMPONENT
052972,000459: 11,3202           41205                           DMP      DMP                                   
052973,000460: 11,3203           00023                                    URPV       +4                         #  Z COMPONENT
052974,000461: 11,3204           27712                                    5/8                                   #  5 B3 ANSWER B5
052975,000462: 11,3205           43352                           SL1      DAD                                   #  FROM 12D FOR Z COMPONENT (SL1 GIVES 10
052976,000463:                                                                                                  #  INSTEAD OF 5 FOR COEFFICIENT)
052977,000464: 11,3206           60325                           PDDL     NORM                                  #  BACK INTO 12D FOR Z COMPONENT.
052978,000465: 11,3207           02070                                    ALPHAM                                #  SCALED B27 FOR MOON
052979,000466: 11,3210           00050                                    X2                                    
052980,000467: 11,3211           67206                           PUSH     SLOAD                                 #  STORE IN 14D, DESTROYING URPV
052981,000468:                                                                                                  #  X COMPONENT
052982,000469: 11,3212           01354                                    E32C31RM                              
052983,000470: 11,3213           74271                           DDV      VXSC                                  #  IF X2 = 0, DIVISION GIVES B53, VXSC
052984,000471:                                                                                                  #  OUT OF 8D B5 GIVES B58
052985,000472: 11,3214           53257                           VSL*     VAD                                   #  SHIFT MAKES B61, FOR ADDITION OF 
052986,000473:                                                                                                  #  VECTOR IN 2D
052987,000474: 11,3215           57601                                    0          -3,2                       
052988,000475: 11,3216           70257                           VSL*     V/SC                                  #  OPERAND FROM 0D, B108 FOR X1 = 0
052989,000476: 11,3217           20146                                    0          -27D,1                     #  FOR X1 = 0, MAKES B88, GIVING B-20
052990,000477:                                                                                                  #  FOR RESULT.
052991,000478: 11,3220           65325                           PDDL     PDDL                                  
052992,000479: 11,3221           01517                                    TET                                   
052993,000480: 11,3222           27712                                    5/8                                   #  ANY NON-ZERO CONSTANT
052994,000481: 11,3223           45154                           LXA,2    CALL                                  #  POSITION IN 0D, TIME IN 6D.  X2 LEFT
052995,000482:                                                                                                  #  ALONE.
052996,000483: 11,3224           02030                                    PBODY                                 
052997,000484: 11,3225           55716                                    RP-TO-R                               
052998,000485: 11,3226           40055                           VAD      BOV                                   #  OVERFLOW INDICATOR RESET IN "RP-TO-R"
052999,000486: 11,3227           02062                                    FV                                    
053000,000487: 11,3230           22774                                    GOBAQUE                               

Page 1237

053002,000489: 11,3231           02062                           STORE    FV                                    
053003,000490: 11,3232           72135        NBRANCH            SLOAD    LXA,1                                 
053004,000491: 11,3233           01501                                    DIFEQCNT                              
053005,000492: 11,3234           00154                                    MPAC                                  
053006,000493: 11,3235           73205                           DMP      CGOTO                                 
053007,000494: 11,3236           27714                                    -1/12                                 
053008,000495: 11,3237           00155                                    MPAC                                  
053009,000496: 11,3240           23247                                    DIFEQTAB                              
053010,000497: 11,3241           77745        COSPHIE            DLOAD                                          
053011,000498: 11,3242           02036                                    ALPHAV     +4                         
053012,000499: 11,3243           24023                           STOVL    COSPHI/2                              
053013,000500: 11,3244           24001                                    ZUNIT                                 
053014,000501: 11,3245           77650                           GOTO                                           
053015,000502: 11,3246           23052                                    COMTERM                               
053016,000503: 11,3247           23466        DIFEQTAB           CADR     DIFEQ+0                               
053017,000504: 11,3250           23472                           CADR     DIFEQ+1                               
053018,000505: 11,3251           23503                           CADR     DIFEQ+2                               
053019,000506: 11,3252           77214        TIMESTEP           BOF      VLOAD                                 
053020,000507: 11,3253           00342                                    MIDFLAG                               
053021,000508: 11,3254           23303                                    RECTEST                               
053022,000509: 11,3255           01535                                    RCV                                   
053023,000510: 11,3256           41241                           DOT      DMP                                   
053024,000511: 11,3257           01543                                    VCV                                   
053025,000512: 11,3260           02076                                    DT/2                                  #  (R.V) X (DELTA T)
053026,000513: 11,3261           77640                           BMN                                            
053027,000514: 11,3262           23303                                    RECTEST                               
053028,000515: 11,3263           43014                           BON      BOF                                   
053029,000516: 11,3264           00303                                    MOONFLAG                              
053030,000517: 11,3265           23360                                    LUNSPH                                
053031,000518: 11,3266           04340                                    RPQFLAG                               
053032,000519: 11,3267           23355                                    EARSPH                                
053033,000520: 11,3270           45145                           DLOAD    CALL                                  
053034,000521: 11,3271           01517                                    TET                                   
053035,000522: 11,3272           33664                                    LSPOS                                 #  RPQV IN MPAC
053036,000523: 11,3273           02105                           STORE    RPQV                                  #  RPQV
053037,000524: 11,3274           77754                           LXA,2                                          
053038,000525: 11,3275           02030                                    PBODY                                 
053039,000526: 11,3276           51445        INLUNCHK           BVSU     ABVAL                                 
053040,000527: 11,3277           01535                                    RCV                                   
053041,000528: 11,3300           50025                           DSU      BMN                                   
053042,000529: 11,3301           27720                                    RSPHERE                               
053043,000530: 11,3302           23375                                    DOSWITCH                              
053044,000531: 11,3303           51575        RECTEST            VLOAD    ABVAL                                 #  RECTIFY IF
053045,000532: 11,3304           01521                                    TDELTAV                               
053046,000533: 11,3305           77600                           BOV                                            
053047,000534: 11,3306           23331                                    CALLRECT                              
053048,000535: 11,3307           51025                           DSU      BPL                                   #        1) EITHER TDELTAV OR TNUV EQUALS OR
053049,000536: 11,3310           25764                                    3/4                                   #           EXCEEDS 3/4 IN MAGNITUDE
053050,000537: 11,3311           23331                                    CALLRECT                              
053051,000538: 11,3312           53615                           DAD      SL*                                   #                        OR

Page 1238

053053,000540: 11,3313           25764                                    3/4                                   
053054,000541: 11,3314           57605                                    0          -7,2                       #        2) ABVAL(TDELTAV) EQUALS OR EXCEEDS
053055,000542: 11,3315           45271                           DDV      DSU                                   #           .01(ABVAL(RCV))
053056,000543: 11,3316           00013                                    10D                                   
053057,000544: 11,3317           27716                                    RECRATIO                              
053058,000545: 11,3320           77244                           BPL      VLOAD                                 
053059,000546: 11,3321           23331                                    CALLRECT                              
053060,000547: 11,3322           01527                                    TNUV                                  
053061,000548: 11,3323           45246                           ABVAL    DSU                                   
053062,000549: 11,3324           25764                                    3/4                                   
053063,000550: 11,3325           77600                           BOV                                            
053064,000551: 11,3326           23331                                    CALLRECT                              
053065,000552: 11,3327           77640                           BMN                                            
053066,000553: 11,3330           23333                                    INTGRATE                              
053067,000554: 11,3331           77624        CALLRECT           CALL                                           
053068,000555: 11,3332           23441                                    RECTIFY                               
053069,000556: 11,3333           77775        INTGRATE           VLOAD                                          
053070,000557: 11,3334           01527                                    TNUV                                  
053071,000558: 11,3335           25135                           STOVL    ZV                                    
053072,000559: 11,3336           01521                                    TDELTAV                               
053073,000560: 11,3337           01127                           STORE    YV                                    
053074,000561: 11,3340           77614                           CLEAR                                          
053075,000562: 11,3341           00261                                    JSWITCH                               
053076,000563: 11,3342           66375        DIFEQ0             VLOAD    SSP                                   
053077,000564: 11,3343           01127                                    YV                                    
053078,000565: 11,3344           01501                                    DIFEQCNT                              
053079,000566: 11,3345           00000                                    0                                     
053080,000567: 11,3346           16032                           STODL    ALPHAV                                
053081,000568: 11,3347           24007                                    DPZERO                                
053082,000569: 11,3350           02100                           STORE    H                                     #  START H AT ZERO.  GOES 0(DELT/2)DELT.
053083,000570: 11,3351           52014                           BON      GOTO                                  
053084,000571: 11,3352           00301                                    JSWITCH                               
053085,000572: 11,3353           23705                                    DOW..                                 
053086,000573: 11,3354           22516                                    ACCOMP                                
053087,000574: 11,3355           52175        EARSPH             VLOAD    GOTO                                  
053088,000575: 11,3356           02105                                    RPQV                                  
053089,000576: 11,3357           23276                                    INLUNCHK                              
053090,000577: 11,3360           60545        LUNSPH             DLOAD    SR2                                   
053091,000578: 11,3361           00013                                    10D                                   
053092,000579: 11,3362           50025                           DSU      BMN                                   
053093,000580: 11,3363           27720                                    RSPHERE                               
053094,000581: 11,3364           23303                                    RECTEST                               
053095,000582: 11,3365           71214                           BOF      DLOAD                                 
053096,000583: 11,3366           04340                                    RPQFLAG                               
053097,000584: 11,3367           23375                                    DOSWITCH                              
053098,000585: 11,3370           01517                                    TET                                   
053099,000586: 11,3371           77624                           CALL                                           
053100,000587: 11,3372           33664                                    LUNPOS                                
053101,000588: 11,3373           77676                           VCOMP                                          
053102,000589: 11,3374           02105                           STORE    RPQV                                  

Page 1239

053104,000591: 11,3375           77624        DOSWITCH           CALL                                           
053105,000592: 11,3376           23401                                    ORIGCHNG                              
053106,000593: 11,3377           77650                           GOTO                                           
053107,000594: 11,3400           23333                                    INTGRATE                              
053108,000595: 11,3401           45020        ORIGCHNG           STQ      CALL                                  
053109,000596: 11,3402           02112                                    ORIGEX                                
053110,000597: 11,3403           23441                                    RECTIFY                               
053111,000598: 11,3404           53775                           VLOAD    VSL*                                  
053112,000599: 11,3405           01535                                    RCV                                   
053113,000600: 11,3406           57576                                    0,2                                   
053114,000601: 11,3407           53651                           VSU      VSL*                                  
053115,000602: 11,3410           02105                                    RPQV                                  
053116,000603: 11,3411           57574                                    2,2                                   
053117,000604: 11,3412           01503                           STORE    RRECT                                 
053118,000605: 11,3413           15535                           STODL    RCV                                   
053119,000606: 11,3414           01517                                    TET                                   
053120,000607: 11,3415           77624                           CALL                                           
053121,000608: 11,3416           33775                                    LUNVEL                                
053122,000609: 11,3417           57414                           BOF      VCOMP                                 
053123,000610: 11,3420           00343                                    MOONFLAG                              
053124,000611: 11,3421           23422                                    +1                                    
053125,000612: 11,3422           53715                           PDVL     VSL*                                  
053126,000613: 11,3423           01543                                    VCV                                   
053127,000614: 11,3424           57576                                    0,2                                   
053128,000615: 11,3425           77651                           VSU                                            
053129,000616: 11,3426           77657                           VSL*                                           
053130,000617: 11,3427           57574                                    0          +2,2                       
053131,000618: 11,3430           01511                           STORE    VRECT                                 
053132,000619: 11,3431           01543                           STORE    VCV                                   
053133,000620: 11,3432           67154                           LXA,2    SXA,2                                 
053134,000621: 11,3433           02112                                    ORIGEX                                
053135,000622: 11,3434           00052                                    QPRET                                 
053136,000623: 11,3435           52014                           BON      GOTO                                  
053137,000624: 11,3436           00303                                    MOONFLAG                              
053138,000625: 11,3437           26711                                    CLRMOON                               
053139,000626: 11,3440           26716                                    SETMOON                               

Page 1240

053141,000628:                                                                                                  #  THE RECTIFY SUBROUTINE IS CALLED BY THE INTEGRATION PROGRAM AND OCCASIONALLY BY THE MEASUREMENT INCORPORATION
053142,000629:                                                                                                  #  ROUTINES TO ESTABLISH A NEW CONIC.
053143,000630: 
053144,000631: 11,3441           77354        RECTIFY            LXA,2    VLOAD                                 
053145,000632: 11,3442           02030                                    PBODY                                 
053146,000633: 11,3443           01521                                    TDELTAV                               
053147,000634: 11,3444           53257                           VSL*     VAD                                   
053148,000635: 11,3445           57605                                    0          -7,2                       
053149,000636: 11,3446           01535                                    RCV                                   
053150,000637: 11,3447           01503                           STORE    RRECT                                 
053151,000638: 11,3450           25535                           STOVL    RCV                                   
053152,000639: 11,3451           01527                                    TNUV                                  
053153,000640: 11,3452           53257                           VSL*     VAD                                   
053154,000641: 11,3453           57602                                    0          -4,2                       
053155,000642: 11,3454           01543                                    VCV                                   
053156,000643: 11,3455           01511        MINIRECT           STORE    VRECT                                 
053157,000644: 11,3456           25543                           STOVL    VCV                                   
053158,000645: 11,3457           24007                                    ZEROVEC                               
053159,000646: 11,3460           01521                           STORE    TDELTAV                               
053160,000647: 11,3461           15527                           STODL    TNUV                                  
053161,000648: 11,3462           24007                                    ZEROVEC                               
053162,000649: 11,3463           01551                           STORE    TC                                    
053163,000650: 11,3464           01553                           STORE    XKEP                                  
053164,000651: 11,3465           77616                           RVQ                                            
053165,000652: 

Page 1241

053167,000654:                                                                                                  #  THE THREE DIFEQ ROUTINES - DIFEQ+0, DIFEQ+12, AND DIFEQ+24 - ARE ENTERED TO PROCESS THE CONTRIBUTIONS AT THE
053168,000655:                                                                                                  #  BEGINNING, MIDDLE, AND END OF THE TIMESTEP, RESPECTIVELY.  THE UPDATING IS DONE BY THE NYSTROM METHOD.
053169,000656: 
053170,000657: 11,3466           64575        DIFEQ+0            VLOAD    VSR3                                  
053171,000658: 11,3467           02062                                    FV                                    
053172,000659: 11,3470           36046                           STCALL   PHIV                                  
053173,000660: 11,3471           23646                                    DIFEQCOM                              
053174,000661: 11,3472           74575        DIFEQ+1            VLOAD    VSR1                                  
053175,000662: 11,3473           02062                                    FV                                    
053176,000663: 11,3474           53206                           PUSH     VAD                                   
053177,000664: 11,3475           02046                                    PHIV                                  
053178,000665: 11,3476           26054                           STOVL    PSIV                                  
053179,000666: 11,3477           53362                           VSR1     VAD                                   
053180,000667: 11,3500           02046                                    PHIV                                  
053181,000668: 11,3501           36046                           STCALL   PHIV                                  
053182,000669: 11,3502           23646                                    DIFEQCOM                              
053183,000670: 11,3503           57345        DIFEQ+2            DLOAD    DMPR                                  
053184,000671: 11,3504           02100                                    H                                     
053185,000672: 11,3505           25774                                    DP2/3                                 
053186,000673: 11,3506           74206                           PUSH     VXSC                                  
053187,000674: 11,3507           02046                                    PHIV                                  
053188,000675: 11,3510           53372                           VSL1     VAD                                   
053189,000676: 11,3511           01135                                    ZV                                    
053190,000677: 11,3512           53361                           VXSC     VAD                                   
053191,000678: 11,3513           02100                                    H                                     
053192,000679: 11,3514           01127                                    YV                                    
053193,000680: 11,3515           25127                           STOVL    YV                                    
053194,000681: 11,3516           02062                                    FV                                    
053195,000682: 11,3517           53322                           VSR3     VAD                                   
053196,000683: 11,3520           02054                                    PSIV                                  
053197,000684: 11,3521           76561                           VXSC     VSL1                                  
053198,000685: 11,3522           77655                           VAD                                            
053199,000686: 11,3523           01135                                    ZV                                    
053200,000687: 11,3524           01135                           STORE    ZV                                    
053201,000688: 11,3525           45014                           BOFF     CALL                                  
053202,000689: 11,3526           00341                                    JSWITCH                               
053203,000690: 11,3527           23577                                    ENDSTATE                              
053204,000691: 11,3530           11244                                    GRP2PC                                
053205,000692: 11,3531           77354                           LXA,2    VLOAD                                 
053206,000693: 11,3532           01117                                    COLREG                                
053207,000694: 11,3533           01135                                    ZV                                    
053208,000695: 11,3534           77732                           VSL3                                           #  ADJUST W-POSITION FOR STORAGE
053209,000696: 11,3535           12467                           STORE    W          +54D,2                     
053210,000697: 11,3536           77775                           VLOAD                                          
053211,000698: 11,3537           01127                                    YV                                    
053212,000699: 11,3540           40132                           VSL3     BOV                                   
053213,000700: 11,3541           23671                                    WMATEND                               
053214,000701: 11,3542           12401                           STORE    W,2                                   
053215,000702: 
053216,000703: 11,3543           77624                           CALL                                           
053217,000704: 11,3544           11244                                    GRP2PC                                

Page 1242

053219,000706: 11,3545           66354                           LXA,2    SSP                                   
053220,000707: 11,3546           01117                                    COLREG                                
053221,000708: 11,3547           00052                                    S2                                    
053222,000709: 11,3550           00000                                    0                                     
053223,000710: 11,3551           67114                           INCR,2   SXA,2                                 
053224,000711: 11,3552           00006                                    6                                     
053225,000712: 11,3553           01126                                    YV                                    
053226,000713: 11,3554           45104                           TIX,2    CALL                                  
053227,000714: 11,3555           23642                                    RELOADSV                              
053228,000715: 11,3556           11244                                    GRP2PC                                
053229,000716: 11,3557           67154                           LXA,2    SXA,2                                 
053230,000717: 11,3560           01126                                    YV                                    
053231,000718: 11,3561           01117                                    COLREG                                
053232,000719: 
053233,000720: 11,3562           77624        NEXTCOL            CALL                                           
053234,000721: 11,3563           11244                                    GRP2PC                                
053235,000722: 11,3564           76754                           LXA,2    VLOAD*                                
053236,000723: 11,3565           01117                                    COLREG                                
053237,000724: 11,3566           75376                                    W,2                                   
053238,000725: 11,3567           77722                           VSR3                                           #  ADJUST W-POSITION FOR INTEGRATION
053239,000726: 11,3570           01127                           STORE    YV                                    
053240,000727: 11,3571           76173                           VLOAD*   AXT,1                                 
053241,000728: 11,3572           75310                                    W          +54D,2                     
053242,000729: 11,3573           00000                                    0                                     
053243,000730: 11,3574           77722                           VSR3                                           #  ADJUST W-VELOCITY FOR INTEGRATION
053244,000731: 11,3575           35135                           STCALL   ZV                                    
053245,000732: 11,3576           23342                                    DIFEQ0                                
053246,000733: 
053247,000734: 11,3577           77200        ENDSTATE           BOV      VLOAD                                 
053248,000735: 11,3600           22774                                    GOBAQUE                               
053249,000736: 11,3601           01135                                    ZV                                    
053250,000737: 11,3602           25527                           STOVL    TNUV                                  
053251,000738: 11,3603           01127                                    YV                                    
053252,000739: 11,3604           01521                           STORE    TDELTAV                               
053253,000740: 11,3605           43014                           BON      BOFF                                  
053254,000741: 11,3606           04715                                    MIDAVFLG                              
053255,000742: 11,3607           27633                                    CKMID2                                #  CHECK FOR MID2 BEFORE GOING TO TIMEINC
053256,000743: 11,3610           01756                                    DIM0FLAG                              
053257,000744: 11,3611           27257                                    TESTLOOP                              
053258,000745: 11,3612           77776                           EXIT                                           
053259,000746: 11,3613           05353                           TC       PHASCHNG                              
053260,000747: 11,3614           04022                           OCT      04022                                 #  PHASE 1
053261,000748: 11,3615           05504                           TC       UPFLAG                                #  PHASE CHANGE HAS OCCURRED BETWEEN
053262,000749: 11,3616           00236                           ADRES    REINTFLG                              #  INTSTALL AND INTWAKE
053263,000750: 11,3617           06037                           TC       INTPRET                               
053264,000751: 11,3620           77731                           SSP                                            
053265,000752: 11,3621           00053                                    QPRET                                 
053266,000753: 11,3622           23627                                    AMOVED                                
053267,000754: 11,3623           52014                           BON      GOTO                                  
053268,000755: 11,3624           01714                                    VINTFLAG                              

Page 1243

053270,000757: 11,3625           26661                                    ATOPCSM                               
053271,000758: 11,3626           26734                                    ATOPLEM                               
053272,000759: 11,3627           66214        AMOVED             SET      SSP                                   
053273,000760: 11,3630           00061                                    JSWITCH                               
053274,000761: 11,3631           01120                                    COLREG                                
053275,000762: 11,3632           77741                           DEC      -30        B-14                       
053276,000763: 11,3633           66214                           BOFF     SSP                                   
053277,000764: 11,3634           01755                                    D6OR9FLG                              
053278,000765: 11,3635           23562                                    NEXTCOL                               
053279,000766: 11,3636           01120                                    COLREG                                
053280,000767: 11,3637           77717                           DEC      -48        B-14                       
053281,000768: 11,3640           77650                           GOTO                                           
053282,000769: 11,3641           23562                                    NEXTCOL                               
053283,000770: 
053284,000771: 11,3642           77745        RELOADSV           DLOAD                                          #  RELOAD TEMPORARY STATE VECTOR
053285,000772: 11,3643           01116                                    TDEC                                  #  FROM PERMANENT IN CASE OF
053286,000773: 11,3644           34041                           STCALL   TDEC1                                 
053287,000774: 11,3645           27141                                    INTEGRV2                              #  BY STARTING AT INTEGRV2.
053288,000775: 11,3646           43345        DIFEQCOM           DLOAD    DAD                                   #  INCREMENT H AND DIFEQCNT.
053289,000776: 11,3647           02076                                    DT/2                                  
053290,000777: 11,3650           02100                                    H                                     
053291,000778: 11,3651           66110                           INCR,1   SXA,1                                 
053292,000779: 11,3652           77763                           DEC      -12        B-14                       
053293,000780: 11,3653           01500                                    DIFEQCNT                              #  DIFEQCNT SET FOR NEXT ENTRY.
053294,000781: 11,3654           02100                           STORE    H                                     
053295,000782: 11,3655           74561                           VXSC     VSR1                                  
053296,000783: 11,3656           02062                                    FV                                    
053297,000784: 11,3657           74255                           VAD      VXSC                                  
053298,000785: 11,3660           01135                                    ZV                                    
053299,000786: 11,3661           02100                                    H                                     
053300,000787: 11,3662           77655                           VAD                                            
053301,000788: 11,3663           01127                                    YV                                    
053302,000789: 11,3664           02032                           STORE    ALPHAV                                
053303,000790: 11,3665           52014                           BON      GOTO                                  
053304,000791: 11,3666           00301                                    JSWITCH                               
053305,000792: 11,3667           23705                                    DOW..                                 
053306,000793: 11,3670           22476                                    FBR3                                  
053307,000794: 
053308,000795: 11,3671           43014        WMATEND            CLEAR    CLEAR                                 
053309,000796: 11,3672           01676                                    DIM0FLAG                              #  DONT INTEGRATE W THIS TIME
053310,000797: 11,3673           01671                                    ORBWFLAG                              #  INVALIDATE W
053311,000798: 11,3674           77614                           CLEAR                                          
053312,000799: 11,3675           02676                                    RENDWFLG                              
053313,000800: 11,3676           77414                           SET      EXIT                                  
053314,000801: 11,3677           01472                                    STATEFLG                              #  PICK UP STATE VECTOR UPDATE
053315,000802: 11,3700           05567                           TC       ALARM                                 
053316,000803: 11,3701           00421                           OCT      421                                   
053317,000804: 11,3702           06037                           TC       INTPRET                               

Page 1244

053319,000806: 11,3703           77650                           GOTO                                           
053320,000807: 11,3704           27257                                    TESTLOOP                              #  FINISH INTEGRATING STATE VECTOR
053321,000808: 

Page 1245

053323,000810:                                                                                                  #  ORBITAL ROUTINE FOR EXTRAPOLATION OF THE W MATRIX.  IT COMPUTES THE SECOND DERIVATIVE OF EACH COLUMN POSITION
053324,000811:                                                                                                  #  VECTOR OF THE MATRIX AND CALLS THE NYSTROM INTEGRATION ROUTINES TO SOLVE THE DIFFERENTIAL EQUATIONS.  THE PROGRAM
053325,000812:                                                                                                  #  USES A TABLE OF VEHICLE POSITION VECTORS COMPUTED DURING THE INTEGRATION OF THE VEHICLES POSITION AND VELOCITY.
053326,000813: 
053327,000814: 11,3705           70754        DOW..              LXA,2    DLOAD*                                
053328,000815: 11,3706           02030                                    PBODY                                 
053329,000816: 11,3707           51770                                    MUEARTH,2                             
053330,000817: 11,3710           36072                           STCALL   BETAM                                 
053331,000818: 11,3711           23733                                    DOW..1                                
053332,000819: 11,3712           02062                           STORE    FV                                    
053333,000820: 11,3713           62014                           BOF      INCR,1                                
053334,000821: 11,3714           00342                                    MIDFLAG                               
053335,000822: 11,3715           23232                                    NBRANCH                               
053336,000823: 11,3716           77771                           DEC      -6         B-14                       
053337,000824: 11,3717           70744                           LXC,2    DLOAD*                                
053338,000825: 11,3720           02030                                    PBODY                                 
053339,000826: 11,3721           51772                                    MUEARTH    -2,2                       
053340,000827: 11,3722           36072                           STCALL   BETAM                                 
053341,000828: 11,3723           23733                                    DOW..1                                
053342,000829: 11,3724           50414                           BON      VSR6                                  
053343,000830: 11,3725           00303                                    MOONFLAG                              
053344,000831: 11,3726           23727                                    +1                                    
053345,000832: 11,3727           77655                           VAD                                            
053346,000833: 11,3730           02062                                    FV                                    
053347,000834: 11,3731           36062                           STCALL   FV                                    
053348,000835: 11,3732           23232                                    NBRANCH                               
053349,000836: 11,3733           60575        DOW..1             VLOAD    VSR4                                  
053350,000837: 11,3734           02032                                    ALPHAV                                
053351,000838: 11,3735           53513                           PDVL*    UNIT                                  
053352,000839: 11,3736           02132                                    VECTAB,1                              
053353,000840: 11,3737           46315                           PDVL     VPROJ                                 
053354,000841: 11,3740           02032                                    ALPHAV                                
053355,000842: 11,3741           52361                           VXSC     VSU                                   
053356,000843: 11,3742           25764                                    3/4                                   
053357,000844: 11,3743           60325                           PDDL     NORM                                  
053358,000845: 11,3744           00045                                    36D                                   
053359,000846: 11,3745           00052                                    S2                                    
053360,000847: 11,3746           63406                           PUSH     DSQ                                   
053361,000848: 11,3747           77605                           DMP                                            
053362,000849: 11,3750           65301                           NORM     PDDL                                  
053363,000850: 11,3751           00043                                    34D                                   
053364,000851: 11,3752           02072                                    BETAM                                 
053365,000852: 11,3753           56342                           SR1      DDV                                   
053366,000853: 11,3754           77761                           VXSC                                           
053367,000854: 11,3755           57154                           LXA,2    XAD,2                                 
053368,000855: 11,3756           00051                                    S2                                    
053369,000856: 11,3757           00051                                    S2                                    
053370,000857: 11,3760           57074                           XAD,2    XAD,2                                 
053371,000858: 11,3761           00051                                    S2                                    
053372,000859: 11,3762           00042                                    34D                                   
053373,000860: 11,3763           43457                           VSL*     RVQ                                   

Page 1246

053375,000862: 11,3764           57606                                    0          -8D,2                      
053376,000863: 
053377,000864:                                                                                                  #  ****************************************************************************************************************
053378,000865:                                                                                                  #  ****************************************************************************************************************
053379,000866: 11,3765           43131        SETITCTR           SSP      BOFF                                  #  SET ITERCTR FOR LAMBERT CALLS.  THIS
053380,000867: 11,3766           00027                                    ITERCTR                               #  CODING BELONGS IN INITVEL AND IS HERE
053381,000868: 11,3767           00024                                    20D                                   #  FOR PURPOSES OF A ONE-MODULE
053382,000869: 11,3770           03752                                    AVEGFLAG                              #  REMANUFACTURE ONLY.  CODING SHOULD
053383,000870: 11,3771           25212                                    LAMBERT                               #  BE MOVED BACK TO INITVEL FOR LUMINARY 1B
053384,000871: 11,3772           52131                           SSP      GOTO                                  
053385,000872: 11,3773           00027                                    ITERCTR                               
053386,000873: 11,3774           00005                                    5                                     
053387,000874: 11,3775           25212                                    LAMBERT                               
053388,000875:                                                                                                  #  ****************************************************************************************************************
053389,000876:                                                                                                  #  ****************************************************************************************************************
053390,000877: 
053391,000878: 12,2000                                           SETLOC   ORBITAL1                              
053392,000879: 12,2000                                           BANK                                           
053393,000880: 
053394,000881: 12,3745           04631 23146  3/5                2DEC     .6         B-2                        
053395,000882: 
053396,000883: 12,3747           14000 00000  THREE/8            2DEC     .375                                  
053397,000884: 
053398,000885: 12,3751           02314 31463  .3D                2DEC     .3         B-2                        
053399,000886: 
053400,000887: 12,3753           01400 00000  3/64               2DEC     3          B-6                        
053401,000888: 
053402,000889: 12,3755           10000 00000  DP1/4              2DEC     .25                                   
053403,000890: 
053404,000891: 12,3757  12,3755               DQUARTER           EQUALS   DP1/4                                 
053405,000892: 12,3757  12,3755               POS1/4             EQUALS   DP1/4                                 
053406,000893: 12,3757           03000 00000  3/32               2DEC     3          B-5                        
053407,000894: 
053408,000895: 12,3761           36000 00000  15/16              2DEC     15.        B-4                        
053409,000896: 
053410,000897: 12,3763           30000 00000  3/4                2DEC     3.0        B-2                        
053411,000898: 
053412,000899: 12,3765           22525 12525  7/12               2DEC     .5833333333                            
053413,000900: 
053414,000901: 12,3767           22000 00000  9/16               2DEC     9          B-4                        
053415,000902: 
053416,000903: 12,3771           01200 00000  5/128              2DEC     5          B-7                        
053417,000904: 
053418,000905: 12,3773  12,2006               DPZERO             EQUALS   ZEROVEC                               
053419,000906: 12,3773           25252 25253  DP2/3              2DEC     .6666666667                            
053420,000907: 
053421,000908: 12,3775  12,3773               2/3                EQUALS   DP2/3                                 
053422,000909: 12,3775           00027        OCT27              OCT      27                                    
053423,000910: 

Page 1247

053425,000912: 13,3675                                           BANK     13                                    
053426,000913: 13,2000                                           SETLOC   ORBITAL2                              
053427,000914: 13,2000                                           BANK                                           
053428,000915:                                                                                                  #  IT IS VITAL THAT THE FOLLOWING CONSTANTS NOT BE SHUFFLED
053429,000916: 13,3675           77764                           DEC      -11        B-14                       
053430,000917: 13,3676           77775                           DEC      -2         B-14                       
053431,000918: 13,3677           77766                           DEC      -9         B-14                       
053432,000919: 13,3700           77771                           DEC      -6         B-14                       
053433,000920: 13,3701           77775                           DEC      -2         B-14                       
053434,000921: 13,3702           77775                           DEC      -2         B-14                       
053435,000922: 13,3703           00000                           DEC      0          B-14                       
053436,000923: 13,3704           77763                           DEC      -12        B-14                       
053437,000924: 13,3705           77766                           DEC      -9         B-14                       
053438,000925: 13,3706           77773                           DEC      -4         B-14                       
053439,000926: 13,3707           77770        ASCALE             DEC      -7         B-14                       
053440,000927: 13,3710           77771                           DEC      -6         B-14                       
053441,000928: 13,3711           24000 00000  5/8                2DEC     5          B-3                        
053442,000929: 
053443,000930: 13,3713           74631 63145  -1/12              2DEC     -.1                                   
053444,000931: 
053445,000932: 13,3715           00243 32703  RECRATIO           2DEC     .01                                   
053446,000933: 
053447,000934: 13,3717           03654 21000  RSPHERE            2DEC     64373.76   E3         B-29            
053448,000935: 
053449,000936: 13,3721           03654 21000  RDM                2DEC     16093.44   E3         B-27            
053450,000937: 
053451,000938: 13,3723           04627 25200  RDE                2DEC     80467.20   E3         B-29            
053452,000939: 
053453,000940: 13,3725                        RATT               EQUALS   00                                    
053454,000941: 13,3725                        VATT               EQUALS   6D                                    
053455,000942: 13,3725                        TAT                EQUALS   12D                                   
053456,000943: 13,3725                        RATT1              EQUALS   14D                                   
053457,000944: 13,3725                        VATT1              EQUALS   20D                                   
053458,000945: 13,3725                        MU(P)              EQUALS   26D                                   
053459,000946: 13,3725                        TDEC1              EQUALS   32D                                   
053460,000947: 13,3725                        URPV               EQUALS   14D                                   
053461,000948: 13,3725     0022               COSPHI/2           EQUALS   URPV       +4                         
053462,000949: 13,3725                        UZ                 EQUALS   20D                                   
053463,000950: 13,3725                        TVEC               EQUALS   26D                                   
053464,000951: 
053465,000952: 13,3725           71214        QUALITY1           BOF      DLOAD                                 
053466,000953: 13,3726           00343                                    MOONFLAG                              
053467,000954: 13,3727           23232                                    NBRANCH                               
053468,000955: 13,3730           00017                                    URPV                                  
053469,000956: 13,3731           77716                           DSQ                                            
053470,000957: 13,3732           63525        QUALITY2           PDDL     DSQ                                   #  SQUARE INTO 2D, B2
053471,000958: 13,3733           00021                                    URPV       +2                         #  Y COMPONENT, B1
053472,000959: 13,3734           77625                           DSU                                            
053473,000960: 13,3735           74205                           DMP      VXSC                                  #  5(Y**2-X**2)UR
053474,000961: 13,3736           27712                                    5/8                                   #  CONSTANT, 5B3
053475,000962: 13,3737           00017                                    URPV                                  #  VECTOR.  RESULT MAXIMUM IS 5, SCALING

Page 1248

053477,000964:                                                                                                  #  HERE B6
053478,000965: 13,3740           65332                           VSL3     PDDL                                  #  STORE SCALED B3 IN 2D, 4D, 6D FOR XYZ
053479,000966: 13,3741           00017                                    URPV                                  #  X COMPONENT, B1
053480,000967: 13,3742           43342                           SR1      DAD                                   #  2 X X COMPONENT FOR B3 SCALING
053481,000968: 13,3743           00003                                    2D                                    #  ADD TO VECTOR X COMPONENT OF ANSWER,
053482,000969:                                                                                                  #  SAME AS MULTIPLYING BY UNITX.  MAX IS 7.
053483,000970: 13,3744           14003                           STODL    2D                                    
053484,000971: 13,3745           00021                                    URPV       +2                         #  Y COMPONENT, B1
053485,000972: 13,3746           44342                           SR1      BDSU                                  #  2 X Y COMPONENT FOR B3 SCALING
053486,000973: 13,3747           00005                                    4D                                    #  SUBTRACT FROM VECTOR Y COMPONENT OF
053487,000974:                                                                                                  #  ANSWER, SAME AS MULTIPLYING BY UNITY.
053488,000975:                                                                                                  #  MAX IS 7.
053489,000976: 13,3750           00005                           STORE    4D                                    #  2D HAS VECTOR, B3.
053490,000977: 13,3751           74335                           SLOAD    VXSC                                  #  MULTIPLY COEFFIECIENT TIMES VECTOR IN 2D
053491,000978: 13,3752           01353                                    E3J22R2M                              
053492,000979: 13,3753           43525                           PDDL     RVQ                                   #  J22 TERM X R**4 IN 2D, SCALED B61
053493,000980: 13,3754           00023                                    COSPHI/2                              #  SAME AS URPV +4  Z COMPONENT
053494,000981: 

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