&l8D(s16.66H      
    7/ 1/1990   0h 4m                                                                                                      PAGE   1
 ___________________________________________________________________________________________________________________________________

                                                     <<<<<   H A R P O   >>>>>
                                       HAMILTONIAN ACOUSTIC RAY-TRACING PROGRAM FOR THE OCEAN
                                                                  
                                                                 BY
                                           R. M. JONES,  J. P. RILEY  AND  T. M. GEORGES
                                                    WAVE PROPAGATION LABORATORY
                                          NATIONAL OCEANIC AND ATMOSPHERIC ADMINISTRATION
                                                      BOULDER, COLORADO 80303
                                                                  
                                PC VERSION 7/1//90 BY T. M. GEORGES, R. M. JONES AND R. S. LAWRENCE

 ___________________________________________________________________________________________________________________________________










                                                         RUN SET NUMBER    1

                                                         OCEAN MODEL ID: N01

                         OCEAN MODEL DESCRIPTION:      Sample Case for PC-HARPO Documentation, Rev.  6-20-90

 

 ___________________________________________________________________________________________________________________________________

        MODEL                 SUBROUTINE    DATA SET       DESCRIPTION
        TYPE                     NAME         ID

 ___________________________________________________________________________________________________________________________________

 DISPERSION RELATION           AWCWL                 ACOUSTIC WAVE --- WITH CURRENT --- WITH LOSSES
 BACKGROUND CURRENT VELOCITY   VVORTX3       3.00    VORTEX AT LONGITUDE 150 KM E, UMAX= 1.02 M/S, R= 50 KM
 CURRENT VELOCITY PERTURBATION NPCURR         .00    NO CURRENT PERTURBATION
 BACKGROUND SOUND SPEED        CTANH         1.00    EL NINO BACKGROUND SOUND-SPEED PROFILE
 SOUND SPEED PERTURBATION      CBLOB2        7.00    2% INCREASE IN C-SQUARED AT 150 KM LON., 1 KM DEPTH, 50 KM WIDE
 BACKGROUND BOTTOM             GLORENZ       3.00    RIDGE .5 KM HIGH, 2 KM WIDE AT 10 KM N LATITUDE; BASE= -3 KM
 BOTTOM PERTURBATION           NPBOTM         .00    NO BOTTOM PERTURBATION
 ABSORPTION                    SLLOSS        1.00    SKRETTING-LEROY ABSORPTION FORMULA
 ABSORPTION PERTURBATION       NPABSR         .00    NO ABSORPTION PERTURBATION
 RECEIVER SURFACE              RHORIZ         .00    RECEIVER SURFACE = SPHERE 1 KM BELOW MSL
 OCEAN SURFACE                 SHORIZ        1.00    OCEAN SURFACE = SPHERE AT MSL
 OCEAN SURFACE PERTURBATION    NPSURF         .00    NO OCEAN SURFACE PERTURBATION
 ___________________________________________________________________________________________________________________________________
   7/ 1/1990   0h 4m                                                                                                      PAGE   2
 ___________________________________________________________________________________________________________________________________

                                               INPUT DATA FILE FOR RUNSET NUMBER   1

 ___________________________________________________________________________________________________________________________________

 N01-1     Sample Case for PC-HARPO Documentation, Rev.  6-20-90
   1     6370.           EARTH RADIUS TO MSL, KM (6370.)
   3        2.          TTRANSMITTER HEIGHT ABOVE MSL (T=ABOVE BOTTOM), KM
   4        0.    AN KM  N. TRANSMITTER LATITUDE, KM
   5        0.    AN KM  E. TRANSMITTER LONGITUDE, KM
   7      400.    FQ HZ  INITIAL FREQUENCY, HZ
  11       80.    AN DG  INITIAL AZIMUTH ANGLE, DEG
  15        2.    AN DG  INITIAL ELEVATION ANGLE, DEG
  16       16.    AN DG  FINAL   ELEVATION ANGLE, DEG
  17        2.    AN DG  STEP IN ELEVATION ANGLE, DEG
  19        0.           STOP RAYS THAT STRIKE BOTTOM (1=YES; 0=NO)
  20       -1.           RECEIVER HEIGHT ABOVE MSL, KM
  22       50.           MAXIMUM NUMBER OF HOPS (1.)
  23     1000.           MAXIMUM NUMBER OF STEPS PER HOP (1000.)
  26        5.           MAXIMUM RAY HEIGHT ABOVE MSL, KM
  27       -5.           MINIMUM RAY HEIGHT ABOVE MSL, KM
  28      210.           MAXIMUM RANGE AT MSL, KM
  29        0.           DO: EIGRAY/RNG-TIM/RNG-ELV/NEW-PROJ/RAYTRC/CONT/PROF
  33       20.           MAXIMUM ABSORPTION, DB (999.999)
  42       1.0E-06       MAXIMUM SINGLE-STEP INTEGRATION ERROR (1.0E-4)
  44        .1           INITIAL INTEGRATION STEP SIZE, KM (1.0)
  57        2.           PHASE PATH  (0=NO; 1=INTEGRATE; 2=INTEGRATE/PRINT)
  58        2.           ABSORPTION  (0=NO; 1=INTEGRATE; 2=INTEGRATE/PRINT)
  60        2.           PATH LENGTH (0=NO; 1=INTEGRATE; 2=INTEGRATE/PRINT)
  71       50.           NUMBER OF INTEGRATION STEPS PER PRINT [1.E9]
  72        1.           OUTPUT RAYSETS (1=YES; 0=NO)
  73        0.           DIAGNOSTIC PRINTOUT (1=YES; 0=NO)
  74        0.           PRINT EVERY W(71) RAY STEPS (0=YES; 1=N0)
  76        0.           BINARY RAY OUTPUT (1=YES; 0=NO)
  77       76.           LINES PER PAGE OF PRINTOUT = 76. FOR HPLJ (57.)
  81        4.           RAYPLOT PROJECTION PLANE (4 = VERT. RECTANGULAR)
  82       40.            PLOT-ORDINATE EXPANSION FACTOR [1.]
  83        0.    AN KM   N. LATITUDE OF LEFT PLOT EDGE, KM
  84        0.    AN KM   E. LONGITUDE OF LEFT PLOT EDGE, KM
  85      35.1    AN KM   N. LATITUDE OF RIGHT PLOT EDGE, KM
  86      200.    AN KM   E. LONGITUDE OF RIGHT PLOT EDGE, KM
  87       50.    AN KM   DISTANCE BETWEEN RANGE TICKS, KM
  88       -3.            HEIGHT ABOVE MSL OF BOTTOM OF GRAPH, KM
  89        0.            HEIGHT ABOVE MSL OF TOP OF GRAPH, KM
  96        1.            DISTANCE BETWEEN DEPTH TICKS, KM
 100        9.           VVORTX3 MODEL CHECK NUMBER
 102        3.            VVORTX3 BACKGROUND CURRENT DATA SET ID
 103      1.02    LN  M   MAXIMUM TANGENTIAL CURRENT, M/S
 104       50.            RADIUS OF VORTEX CORE, KM
 105        0.    AN KM   LATITUDE OF VORTEX CENTER, KM
 106      150.    AN KM   LONGITUDE OF VORTEX CENTER, KM
 107        1.            VERTICAL HALF-WIDTH OF VORTEX, KM
 108       -1.            HEIGHT OF VORTEX CENTER ABOVE MSL, KM
 125        0.           NPCURR MODEL CHECK NUMBER
 150        7.           CTANH SOUND SPEED MODEL CHECK NUMBER
 152        1.            CTANH BACKGROUND SOUND SPEED DATA SET ID
 175        2.           CBLOB2 SOUND SPEED PERTURBATION MODEL CHECK NUMBER
 177        7.            CBLOB2 PERTURBATION SOUND SPEED DATA SET ID
 178       .02            MAXIMUM FRACTIONAL INCREASE IN C SQUARED
 179       -1.            HEIGHT OF MAX EFFECT ABOVE MSL, KM
 180        0.    AN KM   LATITUDE OF MAX EFFECT, KM
 181      150.    AN KM   LONGITUDE OF MAX EFFECT, KM
 182        1.            VERTICAL HALF-WIDTH, KM
 183       50.    AN KM   N-S  HALF-WIDTH, KM
 184       50.    AN KM   E-W  HALF-WIDTH, KM
 275        1.           RHORIZ RECEIVER MODEL CHECK NUMBER
 300        4.           GLORENZ BOTTOM MODEL CHECK NUMBER
 302        3.            GLORENZ BOTTOM MODEL DATA SET ID
 303        .5            HEIGHT OF RIDGE, KM ABOVE BASE
 304       10.    AN KM   N. LATITUDE OF RIDGE CENTER, KM
 305        2.    AN KM   HALF-WIDTH OF THE RIDGE, KM
 306       -3.            HEIGHT ABOVE MSL OF BASE OF RIDGE, KM
 325        0.           NPBOTM MODEL CHECK NUMBER
 350        1.           SHORIZ MODEL CHECK NUMBER
 352        1.            SHORIZ OCEAN SURFACE DATA SET ID
   7/ 1/1990   0h 4m                                                                                                      PAGE   3

 353        0.            HEIGHT OF OCEAN SURFACE ABOVE MSL, KM
 375        0.           NPSURF MODEL CHECK NUMBER
 500        1.           SLLOSS ABSORPTION MODEL CHECK NUMBER
 502        1.            SLLOSS ABSORPTION DATA SET ID
 503     0.006    AM DB   A COEFFICIENT, DB
 504    0.2635    AM DB   B COEFFICIENT, DB
 505     1000.    FQ HZ   OMEGA1, HZ
 506     1700.    FQ HZ   OMEGA2, HZ
 525        0.           NPABSRP MODEL CHECK NUMBER
  -1                     DATA SUBSET FOR BACKGROUND CURRENT MODEL
   A  VORTEX AT LONGITUDE 150 KM E, UMAX= 1.02 M/S, R= 50 KM
   0        RETURN TO W-ARRAY DATA SET
  -2                     DATA SUBSET FOR PERTURBATION CURRENT MODEL
   A  NO CURRENT PERTURBATION
   0        RETURN TO W-ARRAY DATA SET
  -3                     DATA SUBSET FOR BACKGROUND SOUND-SPEED MODEL
   A  EL NINO BACKGROUND SOUND-SPEED PROFILE
   3     999.0
    LN  M       LN  M       LN  M
    0.          1532.       0.
    -20.        1531.5      -7.
    -50.        1509.       -20.
    -250.       1503.       -40.
    -450.       1485.       -300.
    -1500.      1485.       -400.
    -3000.      1508.       0.
    999.0
   0       RETURN TO W-ARRAY DATA SET
  -4                     DATA SUBSET FOR SOUND-SPEED PERTURBATION MODEL
   A  2% INCREASE IN C-SQUARED AT 150 KM LON., 1 KM DEPTH, 50 KM WIDE
   0       RETURN TO W-ARRAY DATA SET
  -8                     DATA SUBSET FOR RECEIVER-SURFACE MODEL
   A  RECEIVER SURFACE = SPHERE 1 KM BELOW MSL
   0       RETURN TO W-ARRAY DATA SET
  -9                     DATA SUBSET FOR BACKGROUND BOTTOM MODEL
   A  RIDGE .5 KM HIGH, 2 KM WIDE AT 10 KM N LATITUDE; BASE= -3 KM
   0       RETURN TO W-ARRAY DATA SET
 -10                     DATA SUBSET FOR BOTTOM PERTURBATION MODEL
   A  NO BOTTOM PERTURBATION
   0       RETURN TO W-ARRAY DATA SET
 -11                     DATA SUBSET FOR OCEAN SURFACE MODEL
   A  OCEAN SURFACE = SPHERE AT MSL
   0       RETURN TO W-ARRAY DATA SET
 -12                     DATA SUBSET FOR OCEAN SURFACE PERTURBATION MODEL
   A  NO OCEAN SURFACE PERTURBATION
   0       RETURN TO W-ARRAY DATA SET
 -17                     DATA SUBSET FOR OCEAN ABSORPTION MODEL
   A  SKRETTING-LEROY ABSORPTION FORMULA
   0       RETURN TO W-ARRAY DATA SET
 -18                     DATA SUBSET FOR PERTURBATION ABSORPTION MODEL
   A  NO ABSORPTION PERTURBATION
   0       RETURN TO W-ARRAY DATA SET
   0                     **********  END OF RUN SET NUMBER 1  *********
   7/ 1/1990   0h 4m                                                                                                      PAGE   4
 ___________________________________________________________________________________________________________________________________

                                                   INITIAL VALUES FOR THE W ARRAY
                                        ONLY NONZERO VALUES PRINTED -- ALL ANGLES IN RADIANS

 ___________________________________________________________________________________________________________________________________


 N              W(N)                                               N              W(N)
   1    .637000000000000E+04                                       504    .606731172003931E-01
   3   -.980769230769229E+00                                       505    .628318530717959E+04
   7    .251327412287184E+04                                       506    .106814150222053E+05
  11    .139626340159546E+01
  15    .349065850398866E-01
  16    .279252680319093E+00
  17    .349065850398866E-01
  20   -.100000000000000E+01
  22    .500000000000000E+02
  23    .100000000000000E+04
  24    .157079632679490E+01
  26    .500000000000000E+01
  27   -.500000000000000E+01
  28    .210000000000000E+03
  33    .200000000000000E+02
  41    .300000000000000E+01
  42    .100000000000000E-05
  43    .500000000000000E+02
  44    .100000000000000E+00
  45    .100000000000000E+03
  46    .100000000000000E-07
  47    .500000000000000E+00
  57    .200000000000000E+01
  58    .200000000000000E+01
  60    .200000000000000E+01
  71    .500000000000000E+02
  72    .100000000000000E+01
  75    .150000000000000E+00
  77    .760000000000000E+02
  81    .400000000000000E+01
  82    .400000000000000E+02
  85    .551020408163265E-02
  86    .313971742543171E-01
  87    .784929356357928E-02
  88   -.300000000000000E+01
  96    .100000000000000E+01
 100    .900000000000000E+01
 102    .300000000000000E+01
 103    .102000000000000E-02
 104    .500000000000000E+02
 106    .235478806907378E-01
 107    .100000000000000E+01
 108   -.100000000000000E+01
 150    .700000000000000E+01
 152    .100000000000000E+01
 175    .200000000000000E+01
 177    .700000000000000E+01
 178    .200000000000000E-01
 179   -.100000000000000E+01
 181    .235478806907378E-01
 182    .100000000000000E+01
 183    .784929356357928E-02
 184    .784929356357928E-02
 275    .100000000000000E+01
 300    .400000000000000E+01
 302    .300000000000000E+01
 303    .500000000000000E+00
 304    .156985871271586E-02
 305    .313971742543171E-03
 306   -.300000000000000E+01
 350    .100000000000000E+01
 352    .100000000000000E+01
 500    .100000000000000E+01
 502    .100000000000000E+01
 503    .138155105579643E-02

N01-1     Sample Case for PC-HARPO Documentation, Rev.  6-20-90                                       7/ 1/1990   0h 4m   PAGE   5

 AZIMUTH ANGLE OF TRANSMISSION   =   80.000000 DEG      TRANSMITTER  LATITUDE  =     .000000 DEG    FREQUENCY =        400.000000 HZ
 ELEVATION ANGLE OF TRANSMISSION =    2.000000 DEG      TRANSMITTER  LONGITUDE =     .000000 DEG    SINGLE STEP ERROR = 1.000000E-06

                        ELEVATION                    AZIMUTH          ELEVATION
                   ABOVE      ABOVE                 DEVIATION          ANGLE
  ERROR   EVENT    SEA LEVEL  TERRAIN     RANGE    XMTR   LOCAL     XMTR   LOCAL     PULSE TIME  PHASE TIME  ABSORPTION PATH LENGTH
                     KM        KM        KM        DEG     DEG      DEG     DEG        SEC         SEC         DB          KM  
 -.5E-16 XMTR        -.9808    2.0000      .0000                             2.000       .0000       .0000       .0000       .0000
  .8E-09 APOGEE      -.7737    2.1992     9.5046    -.018   -.019    1.205   -.014      6.4000      6.4000       .1405      9.5061
  .8E-09 WAVE REV    -.7737    2.1992     9.5046    -.018   -.019    1.205   -.014      6.4000      6.4000       .1405      9.5061
 -.1E-07             -.9379    2.0238    17.6732    -.018   -.020     .060  -1.916     11.9000     11.9000       .2613     17.6757
 -.2E-07 RCVR   1   -1.0000    1.9582    19.4734    -.018   -.020    -.144  -2.022     13.1129     13.1129       .2879     19.4767
 -.1E-07 PERIGEE    -1.3869    1.5043    35.8077    -.017   -.023    -.811    .016     24.1129     24.1129       .5294     35.8134
 -.1E-07 WAVE REV   -1.3869    1.5043    35.8077    -.017   -.023    -.811    .016     24.1129     24.1129       .5294     35.8134
 -.1E-07            -1.1622    1.5593    47.3932    -.017   -.025    -.433   1.908     31.9129     31.9129       .7007     47.3992
 -.2E-07 RCVR   2   -1.0000    1.5965    52.0417    -.016   -.027    -.255   2.010     35.0447     35.0447       .7694     52.0498
 -.1E-07 APOGEE      -.7732    1.7938    62.2163    -.016   -.033    -.089   -.023     41.8947     41.8947       .9199     62.2262
 -.1E-07 WAVE REV    -.7732    1.7938    62.2163    -.016   -.033    -.089   -.023     41.8947     41.8947       .9199     62.2262
 -.3E-07 RCVR   3   -1.0000    1.8084    72.3109    -.015   -.042    -.340  -1.990     48.6891     48.6891      1.0691     72.3225
 -.3E-07 PERIGEE    -1.4302    1.5166    91.0432    -.009   -.070    -.692    .029     61.2891     61.2891      1.3461     91.0571
 -.3E-07 WAVE REV   -1.4302    1.5166    91.0432    -.009   -.070    -.692    .029     61.2891     61.2891      1.3461     91.0571
 -.3E-07            -1.2877    1.6800   101.4652    -.004   -.098    -.630   1.332     68.2891     68.2891      1.5001    101.4781
 -.3E-07 RCVR   4   -1.0000    1.9792   112.7596     .006   -.147    -.517   1.418     75.8697     75.8697      1.6671    112.7741
 -.3E-07 APOGEE      -.7919    2.1946   126.4921     .024   -.226    -.483   -.038     85.0697     85.0697      1.8701    126.5068
 -.3E-07 WAVE REV    -.7919    2.1946   126.4921     .024   -.226    -.483   -.038     85.0697     85.0697      1.8701    126.5068
 -.3E-07             -.9275    2.0625   137.2533     .044   -.299    -.595  -1.160     92.2697     92.2697      2.0292    137.2677
 -.3E-07 RCVR   5   -1.0000    1.9907   140.6506     .051   -.324    -.640  -1.281     94.5422     94.5422      2.0794    140.6653
 -.3E-07            -1.8317    1.1635   171.7311     .135   -.469   -1.056   -.077    115.3422    115.3422      2.5390    171.7518
 -.3E-07 PERIGEE    -1.8317    1.1635   172.3289     .136   -.470   -1.058    .068    115.7422    115.7422      2.5478    172.3494
 -.3E-07 WAVE REV   -1.8317    1.1635   172.3289     .136   -.470   -1.058    .068    115.7422    115.7422      2.5478    172.3494
 -.5E-07 RCVR   6   -1.0000    1.9967   194.1240     .197   -.503    -.879   3.128    130.3646    130.3646      2.8702    194.1592
 -.4E-07 APOGEE      -.6456    2.3515   203.6492     .223   -.510    -.822   -.031    136.7646    136.7646      3.0112    203.6915
 -.4E-07 WAVE REV    -.6456    2.3515   203.6492     .223   -.510    -.822   -.031    136.7646    136.7646      3.0112    203.6915
 -.5E-07             -.7780    2.2193   208.7102     .236   -.510    -.883  -2.632    140.1646    140.1646      3.0860    208.7544
 -.5E-07 MAX RANG    -.8511    2.1462   210.1960     .240   -.509    -.910  -2.971    141.1646    141.1646      3.1080    210.2419

                                                                                            THIS RAY CALCULATION TOOK   22.520 SEC
 ELEVATION ANGLE OF TRANSMISSION =    4.0000 DEG
 -.1E-16 XMTR        -.9808    2.0000      .0000                             4.000       .0000       .0000       .0000       .0000
  .2E-07 APOGEE      -.5981    2.3760     8.2406    -.017   -.018    2.622   -.098      5.5500      5.5500       .1220      8.2504
  .2E-07 WAVE REV    -.5981    2.3760     8.2406    -.017   -.018    2.622   -.098      5.5500      5.5500       .1220      8.2504
  .2E-07             -.6839    2.2867    11.5129    -.016   -.018    1.425  -2.712      7.7500      7.7500       .1704     11.5238
 -.4E-08 RCVR   1   -1.0000    1.9635    16.5446    -.017   -.019    -.141  -4.012     11.1435     11.1435       .2449     16.5649
 -.4E-08 PERIGEE    -1.6999    1.2170    31.8384    -.015   -.019   -1.437    .069     21.4435     21.4435       .4712     31.8750
 -.4E-08 WAVE REV   -1.6999    1.2170    31.8384    -.015   -.019   -1.437    .069     21.4435     21.4435       .4712     31.8750
  .1E-07            -1.4237    1.4213    40.4616    -.014   -.020    -.809   3.316     27.2435     27.2435       .5987     40.5016
 -.6E-07 RCVR   2   -1.0000    1.7344    46.8372    -.015   -.022    -.234   4.001     31.5450     31.5450       .6932     46.8901
 -.4E-07 APOGEE      -.5978    1.9213    55.3751    -.015   -.026     .147   -.094     37.2950     37.2950       .8195     55.4384
 -.4E-07 WAVE REV    -.5978    1.9213    55.3751    -.015   -.026     .147   -.094     37.2950     37.2950       .8195     55.4384
 -.5E-07             -.7986    1.7342    60.7261    -.015   -.029    -.101  -3.572     40.8950     40.8950       .8987     60.7935
 -.6E-07 RCVR   3   -1.0000    1.6081    63.7278    -.014   -.031    -.304  -3.985     42.9199     42.9199       .9432     63.8015
 -.2E-07 PERIGEE    -1.7286    1.1645    79.7738    -.012   -.043    -.896    .058     53.7199     53.7199      1.1806     79.8643
 -.2E-07 WAVE REV   -1.7286    1.1645    79.7738    -.012   -.043    -.896    .058     53.7199     53.7199      1.1806     79.8643
 -.9E-08            -1.3278    1.6191    91.0825    -.008   -.059    -.628   3.420     61.3199     61.3199      1.3479     91.1790
 -.6E-07 RCVR   4   -1.0000    1.9593    96.3209    -.006   -.074    -.445   3.618     64.8465     64.8465      1.4255     96.4267
 -.5E-07 APOGEE      -.5997    2.3730   105.5524    -.001   -.106    -.268   -.032     71.0465     71.0465      1.5621    105.6674
 -.5E-07 WAVE REV    -.5997    2.3730   105.5524    -.001   -.106    -.268   -.032     71.0465     71.0465      1.5621    105.6674
 -.5E-07             -.7378    2.2395   110.3261     .003   -.125    -.370  -2.873     74.2465     74.2465      1.6327    110.4432
 -.6E-07 RCVR   5   -1.0000    1.9806   114.9018     .007   -.148    -.526  -3.476     77.3190     77.3190      1.7004    115.0258
 -.2E-07 PERIGEE    -2.0665     .9238   138.7830     .042   -.232   -1.072    .018     93.3190     93.3190      2.0538    138.9293
 -.2E-07 WAVE REV   -2.0665     .9238   138.7830     .042   -.232   -1.072    .018     93.3190     93.3190      2.0538    138.9293
 -.2E-07            -1.7343    1.2583   150.7473     .062   -.260    -.964   2.799    101.3190    101.3190      2.2307    150.8958
 -.3E-07 RCVR   6   -1.0000    1.9945   165.2653     .091   -.346    -.750   2.658    111.0446    111.0445      2.4455    165.4295
 -.3E-07 APOGEE      -.6490    2.3465   176.1659     .116   -.403    -.684   -.067    118.3446    118.3446      2.6068    176.3358
 -.3E-07 WAVE REV    -.6490    2.3465   176.1659     .116   -.403    -.684   -.067    118.3446    118.3446      2.6068    176.3358
 -.3E-07             -.7340    2.2618   180.4961     .127   -.419    -.733  -2.007    121.2446    121.2446      2.6708    180.6667
 -.3E-07 RCVR   7   -1.0000    1.9962   186.4722     .142   -.439    -.845  -2.819    125.2554    125.2553      2.7592    186.6482
 -.1E-07 PERIGEE    -1.6644    1.3327   205.2309     .188   -.458   -1.114    .087    137.8553    137.8553      3.0367    205.4174
 -.1E-07 WAVE REV   -1.6644    1.3327   205.2309     .188   -.458   -1.114    .087    137.8553    137.8553      3.0367    205.4174
 -.1E-07 MAX RANG   -1.5734    1.4239   210.5919     .200   -.455   -1.108   1.823    141.4554    141.4554      3.1159    210.7782

                                                                                            THIS RAY CALCULATION TOOK   20.930 SEC

N01-1     Sample Case for PC-HARPO Documentation, Rev.  6-20-90                                       7/ 1/1990   0h 4m   PAGE   6

 AZIMUTH ANGLE OF TRANSMISSION   =   80.000000 DEG      TRANSMITTER  LATITUDE  =     .000000 DEG    FREQUENCY =        400.000000 HZ
 ELEVATION ANGLE OF TRANSMISSION =    6.000000 DEG      TRANSMITTER  LONGITUDE =     .000000 DEG    SINGLE STEP ERROR = 1.000000E-06

                        ELEVATION                    AZIMUTH          ELEVATION
                   ABOVE      ABOVE                 DEVIATION          ANGLE
  ERROR   EVENT    SEA LEVEL  TERRAIN     RANGE    XMTR   LOCAL     XMTR   LOCAL     PULSE TIME  PHASE TIME  ABSORPTION PATH LENGTH
                     KM        KM        KM        DEG     DEG      DEG     DEG        SEC         SEC         DB          KM  
  .2E-15 XMTR        -.9808    2.0000      .0000                             6.000       .0000       .0000       .0000       .0000
  .6E-07 APOGEE      -.4612    2.5139     7.2720    -.016   -.016    4.055   -.170      4.9000      4.9000       .1078      7.2936
  .6E-07 WAVE REV    -.4612    2.5139     7.2720    -.016   -.016    4.055   -.170      4.9000      4.9000       .1078      7.2936
  .7E-07             -.5558    2.4167     9.8061    -.015   -.016    2.438  -3.882      6.6000      6.6000       .1453      9.8297
 -.3E-07 RCVR   1   -1.0000    1.9667    14.5209    -.016   -.017    -.141  -6.008      9.7858      9.7858       .2153     14.5651
 -.2E-07 PERIGEE    -2.0399     .8848    30.2627    -.013   -.016   -2.141    .056     20.3858     20.3858       .4486     30.3459
 -.2E-07 WAVE REV   -2.0399     .8848    30.2627    -.013   -.016   -2.141    .056     20.3858     20.3858       .4486     30.3459
 -.3E-07            -1.9737     .9313    33.8448    -.012   -.016   -1.833   2.055     22.7858     22.7858       .5016     33.9277
 -.6E-07 RCVR   2   -1.0000    1.7566    45.8199    -.012   -.018    -.230   5.996     30.8620     30.8620       .6792     45.9421
  .3E-07 APOGEE      -.4609    2.1032    53.2398    -.013   -.021     .320   -.089     35.8620     35.8620       .7892     53.3846
  .3E-07 WAVE REV    -.4609    2.1032    53.2398    -.013   -.021     .320   -.089     35.8620     35.8620       .7892     53.3846
  .3E-07             -.5837    1.9240    56.2203    -.013   -.023     .152  -4.288     37.8620     37.8620       .8333     56.3680
 -.6E-07 RCVR   3   -1.0000    1.5297    60.5599    -.013   -.025    -.291  -5.983     40.7946     40.7946       .8977     60.7272
 -.5E-07 PERIGEE    -2.0686     .7995    76.9038    -.010   -.033   -1.156    .085     51.7946     51.7946      1.1399     77.1109
 -.5E-07 WAVE REV   -2.0686     .7995    76.9038    -.010   -.033   -1.156    .085     51.7946     51.7946      1.1399     77.1109
 -.5E-07            -1.9934     .9072    80.7867    -.009   -.034   -1.082   2.116     54.3946     54.3946      1.1973     80.9934
 -.7E-07 RCVR   4   -1.0000    1.9531    93.4380    -.006   -.055    -.432   5.593     62.9145     62.9145      1.3849     93.6828
 -.5E-09 APOGEE      -.4648    2.5026   101.2476    -.003   -.078    -.163   -.072     68.1645     68.1645      1.5007    101.5133
 -.5E-09 WAVE REV    -.4648    2.5026   101.2476    -.003   -.078    -.163   -.072     68.1645     68.1645      1.5007    101.5133
  .7E-09             -.5664    2.4047   104.0864    -.002   -.087    -.240  -3.756     70.0645     70.0645      1.5427    104.3542
 -.7E-07 RCVR   5   -1.0000    1.9762   109.0494     .001   -.108    -.501  -5.472     73.4050     73.4050      1.6163    109.3358
 -.6E-07 PERIGEE    -2.3504     .6375   130.5266     .024   -.156   -1.188    .209     87.8050     87.8050      1.9345    130.8598
 -.6E-07 WAVE REV   -2.3504     .6375   130.5266     .024   -.156   -1.188    .209     87.8050     87.8050      1.9345    130.8598
 -.6E-07            -2.3469     .6412   131.1263     .025   -.156   -1.187    .467     88.2050     88.2050      1.9434    131.4594
 -.2E-07 RCVR   6   -1.0000    1.9929   153.0603     .052   -.242    -.696   4.301    102.8929    102.8929      2.2682    153.4338
  .2E-07 APOGEE      -.5077    2.4864   162.1001     .069   -.302    -.562   -.053    108.9429    108.9429      2.4021    162.4884
  .2E-07 WAVE REV    -.5077    2.4864   162.1001     .069   -.302    -.562   -.053    108.9429    108.9429      2.4021    162.4884
  .2E-07             -.5837    2.4107   164.9453     .074   -.317    -.604  -2.831    110.8429    110.8429      2.4441    165.3347
 -.2E-08 RCVR   7   -1.0000    1.9950   170.9365     .087   -.352    -.775  -4.402    114.8611    114.8611      2.5329    171.3399
 -.2E-07 PERIGEE    -2.1120     .8844   191.2150     .132   -.390   -1.199    .188    128.4611    128.4611      2.8332    191.6505
 -.2E-07 WAVE REV   -2.1120     .8844   191.2150     .132   -.390   -1.199    .188    128.4611    128.4611      2.8332    191.6505
 -.2E-07            -2.0668     .9298   194.2054     .138   -.388   -1.194   1.547    130.4611    130.4611      2.8774    194.6404
 -.5E-07 RCVR   8   -1.0000    1.9972   208.7795     .168   -.388    -.944   5.537    140.2669    140.2669      3.0934    209.2537
 -.5E-07 MAX RANG    -.8578    2.1395   210.2600     .171   -.389    -.912   5.404    141.2669    141.2669      3.1154    210.7408

                                                                                            THIS RAY CALCULATION TOOK   24.610 SEC
 ELEVATION ANGLE OF TRANSMISSION =    8.0000 DEG
 -.1E-15 XMTR        -.9808    2.0000      .0000                             8.000       .0000       .0000       .0000       .0000
  .1E-07 APOGEE      -.3379    2.6378     6.6740    -.015   -.015    5.473   -.090      4.5000      4.5000       .0992      6.7104
  .1E-07 WAVE REV    -.3379    2.6378     6.6740    -.015   -.015    5.473   -.090      4.5000      4.5000       .0992      6.7104
  .2E-07             -.3648    2.6099     7.7979    -.014   -.015    4.482  -2.630      5.2500      5.2500       .1158      7.8347
  .3E-07 RCVR   1   -1.0000    1.9682    13.4059    -.015   -.016    -.142  -8.006      9.0405      9.0405       .1993     13.4802
  .8E-07 PERIGEE    -2.4608     .4591    31.2440    -.010   -.013   -2.853    .258     21.0405     21.0405       .4641     31.3913
  .8E-07 WAVE REV   -2.4608     .4591    31.2440    -.010   -.013   -2.853    .258     21.0405     21.0405       .4641     31.3913
  .8E-07            -2.3208     .5684    36.0378    -.009   -.012   -2.292   3.086     24.2405     24.2405       .5349     36.1858
 -.6E-07 RCVR   2   -1.0000    1.7001    48.2230    -.009   -.014    -.240   7.989     32.4673     32.4673       .7161     48.4435
 -.5E-07 APOGEE      -.3378    2.1865    55.0449    -.010   -.018     .422   -.087     37.0673     37.0673       .8175     55.3032
 -.5E-07 WAVE REV    -.3378    2.1865    55.0449    -.010   -.018     .422   -.087     37.0673     37.0673       .8175     55.3032
 -.5E-07             -.3888    2.1152    56.6176    -.010   -.018     .344  -3.568     38.1173     38.1173       .8408     56.8768
 -.3E-07 RCVR   3   -1.0000    1.5573    61.7971    -.010   -.022    -.296  -7.975     41.6204     41.6204       .9179     62.0931
  .2E-07 PERIGEE    -2.4981     .3966    79.9390    -.007   -.026   -1.447    .143     53.8204     53.8204      1.1872     80.3095
  .2E-07 WAVE REV   -2.4981     .3966    79.9390    -.007   -.026   -1.447    .143     53.8204     53.8204      1.1872     80.3095
  .2E-07            -2.3999     .5206    84.1373    -.006   -.026   -1.345   2.527     56.6204     56.6204      1.2493     84.5076
 -.7E-07 RCVR   4   -1.0000    1.9625    98.0715    -.004   -.048    -.452   7.435     66.0059     66.0059      1.4563     98.5132
 -.6E-07 APOGEE      -.3456    2.6267   105.2099    -.002   -.072    -.127   -.050     70.8059     70.8059      1.5624    105.6865
 -.6E-07 WAVE REV    -.3456    2.6267   105.2099    -.002   -.072    -.127   -.050     70.8059     70.8059      1.5624    105.6865
 -.6E-07             -.3876    2.5863   106.7110    -.001   -.076    -.161  -3.102     71.8059     71.8059      1.5846    107.1882
 -.5E-07 RCVR   5   -1.0000    1.9788   112.3615     .002   -.102    -.515  -7.311     75.6110     75.6110      1.6686    112.8726
 -.4E-08 PERIGEE    -2.7759     .2131   134.1448     .024   -.134   -1.370    .298     90.2110     90.2110      1.9919    134.7405
 -.4E-08 WAVE REV   -2.7759     .2131   134.1448     .024   -.134   -1.370    .298     90.2110     90.2110      1.9919    134.7405
 -.5E-08            -2.7513     .2382   135.9504     .025   -.133   -1.358   1.260     91.4110     91.4110      2.0185    136.5455
 -.3E-07 RCVR   6   -1.0000    1.9933   155.7112     .045   -.192    -.707   6.434    104.6557    104.6557      2.3118    156.3860
 -.3E-07 APOGEE      -.3717    2.6225   163.4742     .056   -.242    -.522   -.149    109.8557    109.8557      2.4270    164.1784
 -.3E-07 WAVE REV    -.3717    2.6225   163.4742     .056   -.242    -.522   -.149    109.8557    109.8557      2.4270    164.1784
 -.2E-07             -.4361    2.5584   165.4268     .059   -.251    -.555  -3.517    111.1557    111.1557      2.4559    166.1322
 -.2E-07 RCVR   7   -1.0000    1.9950   171.0190     .069   -.283    -.776  -6.530    114.9135    114.9135      2.5390    171.7528
  .3E-08 PERIGEE    -2.5674     .4291   191.5992     .105   -.307   -1.336    .195    128.7135    128.7135      2.8443    192.4012
   7/ 1/1990   0h 4m                                                                                                      PAGE   7

  .3E-08 WAVE REV   -2.5674     .4291   191.5992     .105   -.307   -1.336    .195    128.7135    128.7135      2.8443    192.4012
  .3E-08            -2.5636     .4329   192.1999     .106   -.306   -1.336    .521    129.1135    129.1135      2.8531    193.0017
 -.1E-06 MAX RANG   -1.0281    1.9692   210.0554     .134   -.300    -.958   7.721    141.1135    141.1135      3.1182    210.9320

                                                                                            THIS RAY CALCULATION TOOK   28.560 SEC
 ELEVATION ANGLE OF TRANSMISSION =   10.0000 DEG
  .4E-16 XMTR        -.9808    2.0000      .0000                            10.000       .0000       .0000       .0000       .0000
  .4E-07             -.2056    2.7708     5.9196    -.014   -.014    7.435   2.972      4.0000      4.0000       .0883      5.9749
  .3E-07 APOGEE      -.1048    2.8679     9.6483    -.012   -.013    5.145   -.028      6.4750      6.4750       .1435      9.7053
  .3E-07 WAVE REV    -.1048    2.8679     9.6483    -.012   -.013    5.145   -.028      6.4750      6.4750       .1435      9.7053
  .3E-07             -.1089    2.8631    10.3268    -.011   -.012    4.780   -.652      6.9250      6.9250       .1535     10.3838
  .4E-07             -.3567    2.6089    15.2873    -.011   -.012    2.269  -6.411     10.2250     10.2250       .2269     15.3521
  .6E-07 RCVR   1   -1.0000    1.9585    19.3456    -.012   -.014    -.144 -10.005     12.9848     12.9848       .2877     19.4613
  .1E-06 BOTM REF   -2.8979     .0000    34.8791    -.009    .232   -3.304   3.400     23.4576     23.4576       .5192     35.1183
  .1E-06            -2.3562     .4852    40.8644    -.043    .197   -2.112   6.941     27.4576     27.4576       .6080     41.1266
 -.2E-07 RCVR   2   -1.0000    1.6789    49.3788    -.080    .159    -.244  10.224     33.2447     33.2447       .7354     49.7475
  .3E-07             -.1682    2.3537    55.6707    -.100    .136     .586   3.262     37.4947     37.4947       .8293     56.0996
  .2E-07 APOGEE      -.0756    2.4244    58.2324    -.106    .129     .629   -.035     39.1947     39.1947       .8672     58.6633
  .2E-07 WAVE REV    -.0756    2.4244    58.2324    -.106    .129     .629   -.035     39.1947     39.1947       .8672     58.6633
  .2E-07             -.0757    2.4243    58.2890    -.106    .129     .627   -.194     39.2322     39.2322       .8681     58.7199
  .3E-07             -.1931    2.3371    61.1890    -.113    .121     .462  -3.552     41.1572     41.1572       .9110     61.6225
  .4E-07 RCVR   3   -1.0000    1.6805    67.0788    -.126    .105    -.318 -10.188     45.1390     45.1391       .9989     67.5716
  .1E-06 BOTM REF   -2.8954     .0000    81.1497    -.145   -.210   -1.717   3.021     54.6401     54.6401      1.2089     81.7738
  .1E-06            -2.3276     .6044    87.7358    -.129   -.195   -1.274   6.794     59.0401     59.0401      1.3066     88.3829
 -.7E-07 RCVR   4   -1.0000    1.9576    96.4893    -.113   -.197    -.445   9.505     64.9763     64.9763      1.4374     97.2352
 -.2E-07             -.2083    2.7599   102.7961    -.102   -.206    -.032   2.790     69.2263     69.2263      1.5315    103.5961
 -.3E-07 APOGEE      -.0990    2.8741   106.9837    -.094   -.208    -.009   -.028     72.0013     72.0013      1.5934    107.7855
 -.3E-07 WAVE REV    -.0990    2.8741   106.9837    -.094   -.208    -.009   -.028     72.0013     72.0013      1.5934    107.7855
 -.3E-07             -.0995    2.8739   107.2103    -.094   -.208    -.011   -.224     72.1513     72.1513      1.5967    108.0120
 -.4E-07             -.2706    2.7074   112.2643    -.085   -.213    -.142  -3.946     75.5013     75.5013      1.6715    113.0695
 -.7E-08 RCVR   5   -1.0000    1.9817   117.6220    -.076   -.234    -.538  -9.212     79.1147     79.1147      1.7515    118.4782
  .9E-07 BOTM REF   -2.9882     .0000   132.2094    -.048   -.265   -1.465   4.554     88.9443     88.9443      1.9691    133.2007
  .1E-06            -2.0084     .9821   140.5627    -.032   -.259   -1.051   8.423     94.5443     94.5443      2.0934    141.6097
  .2E-07 RCVR   6   -1.0000    1.9918   147.1174    -.019   -.295    -.669   8.695     98.9793     98.9793      2.1914    148.2400
  .4E-07             -.2199    2.7730   153.7493    -.005   -.332    -.408   2.573    103.4293    103.4293      2.2902    154.9216
  .4E-07 APOGEE      -.0959    2.8977   158.6998     .005   -.344    -.394   -.027    106.7043    106.7043      2.3634    159.8741
  .4E-07 WAVE REV    -.0959    2.8977   158.6998     .005   -.344    -.394   -.027    106.7043    106.7043      2.3634    159.8741
  .4E-07             -.0960    2.8976   158.7376     .006   -.344    -.395   -.057    106.7293    106.7293      2.3640    159.9119
  .4E-07             -.2285    2.7657   163.7248     .017   -.355    -.473  -2.749    110.0293    110.0293      2.4377    164.9012
  .6E-07 RCVR   7   -1.0000    1.9949   170.0700     .031   -.383    -.771  -8.865    114.2929    114.2929      2.5323    171.2967
  .1E-06 BOTM REF   -2.9961     .0000   186.1151     .068   -.394   -1.458   3.353    125.0875    125.0875      2.7713    187.4683
  .1E-06            -2.3201     .6764   193.2994     .083   -.382   -1.266   7.320    129.8875    129.8875      2.8780    194.6828
 -.9E-07 RCVR   8   -1.0000    1.9969   201.7061     .100   -.384    -.913   9.692    135.5923    135.5923      3.0038    203.1913
 -.5E-07             -.2011    2.7960   208.0081     .113   -.386    -.721   2.795    139.8423    139.8423      3.0978    209.5489
 -.6E-07 MAX RANG    -.1257    2.8715   210.0424     .117   -.384    -.711   1.425    141.1923    141.1923      3.1278    211.5846

                                                                                            THIS RAY CALCULATION TOOK   44.600 SEC
 ELEVATION ANGLE OF TRANSMISSION =   12.0000 DEG
 -.7E-16 XMTR        -.9808    2.0000      .0000                            12.000       .0000       .0000       .0000       .0000
  .6E-07             -.1252    2.8521     4.8540    -.014   -.014    9.975   6.814      3.3000      3.3000       .0729      4.9310
  .1E-06 APOGEE      -.0412    2.9353     5.7848    -.013   -.013    9.200   -.152      3.9188      3.9188       .0867      5.8661
  .1E-06 WAVE REV    -.0412    2.9353     5.7848    -.013   -.013    9.200   -.152      3.9188      3.9188       .0867      5.8661
  .1E-06             -.0446    2.9318     5.9175    -.013   -.013    8.964  -2.724      4.0062      4.0063       .0887      5.9989
  .2E-06             -.2287    2.7462     7.5281    -.012   -.012    5.672  -7.461      5.0813      5.0813       .1126      7.6201
  .5E-07 RCVR   1   -1.0000    1.9705    11.6447    -.013   -.014    -.147 -12.004      7.8897      7.8897       .1746     11.8093
  .2E-06 BOTM REF   -2.9508     .0000    22.7433    -.010    .193   -5.054   7.184     15.4322     15.4322       .3412     23.0790
  .2E-06            -1.7328    1.1932    30.1346    -.058    .144   -1.565  11.426     20.4322     20.4322       .4519     30.5691
 -.7E-07 RCVR   2   -1.0000    1.9079    33.5994    -.075    .127    -.184  12.169     22.8150     22.8150       .5042     34.1099
  .3E-07             -.1048    2.7643    38.5988    -.094    .107    1.127   6.968     26.2150     26.2150       .5794     39.1911
  .7E-07 APOGEE      -.0394    2.8222    39.3422    -.096    .105    1.194   -.089     26.7087     26.7088       .5904     39.9378
  .7E-07 WAVE REV    -.0394    2.8222    39.3422    -.096    .105    1.194   -.089     26.7087     26.7088       .5904     39.9378
  .9E-07             -.0481    2.8112    39.5601    -.096    .104    1.173  -4.292     26.8525     26.8525       .5936     40.1559
  .1E-06             -.2570    2.5826    41.2430    -.101    .099     .820  -8.014     27.9775     27.9775       .6187     41.8519
  .6E-07 RCVR   3   -1.0000    1.7803    45.0772    -.111    .088    -.227 -12.165     30.5973     30.5973       .6764     45.7579
  .3E-06 BOTM REF   -2.5790     .0000    53.2686    -.127   3.158   -1.959  11.314     36.1914     36.1914       .7997     54.0993
  .5E-06            -1.1398    1.3625    59.5115    -.460   2.824    -.421  14.052     40.4914     40.4914       .8946     60.5132
  .4E-06 RCVR   4   -1.0000    1.5006    60.0692    -.486   2.797    -.288  14.060     40.8789     40.8790       .9031     61.0887
  .7E-06             -.1205    2.3975    64.0004    -.660   2.621     .482  10.070     43.5789     43.5790       .9627     65.1224
  .6E-06             -.0188    2.5081    64.7692    -.691   2.590     .560   1.791     44.0914     44.0915       .9742     65.8995
  .6E-06 APOGEE      -.0153    2.5149    65.0273    -.701   2.579     .558   -.032     44.2602     44.2602       .9780     66.1579
  .6E-06 WAVE REV    -.0153    2.5149    65.0273    -.701   2.579     .558   -.032     44.2602     44.2602       .9780     66.1579
  .6E-06             -.0215    2.5130    65.3427    -.714   2.567     .547  -2.690     44.4664     44.4665       .9827     66.4737
  .7E-06             -.1440    2.4026    66.1744    -.746   2.534     .427 -10.169     45.0227     45.0227       .9951     67.3159
   7/ 1/1990   0h 4m                                                                                                      PAGE   8

  .5E-06             -.9233    1.6847    69.6713    -.875   2.403    -.266 -14.021     47.4227     47.4227      1.0481     70.9025
  .5E-06 RCVR   5   -1.0000    1.6137    69.9780    -.885   2.392    -.330 -14.041     47.6356     47.6357      1.0528     71.2189
  .3E-06 BOTM REF   -2.7472     .0000    77.6090   -1.122   -.362   -1.653   8.925     52.8837     52.8837      1.1686     79.0521
  .5E-06            -1.4621    1.3883    84.3663   -1.094   -.338    -.706  12.251     57.4837     57.4837      1.2703     85.9295
 -.3E-07 RCVR   6   -1.0000    1.8714    86.4716   -1.086   -.335    -.402  12.427     58.9327     58.9327      1.3021     88.0845
  .1E-06             -.0930    2.8136    91.3049   -1.069   -.328     .146   7.760     62.2202     62.2202      1.3749     93.0040
  .2E-06 APOGEE      -.0340    2.8762    91.9411   -1.067   -.327     .177   -.165     62.6420     62.6421      1.3843     93.6435
  .2E-06 WAVE REV    -.0340    2.8762    91.9411   -1.067   -.327     .177   -.165     62.6420     62.6421      1.3843     93.6435
  .2E-06             -.0448    2.8667    92.1690   -1.067   -.326     .167  -5.051     62.7920     62.7921      1.3877     93.8717
  .3E-06             -.2739    2.6460    93.8128   -1.061   -.323     .010  -8.877     63.8920     63.8921      1.4122     95.5315
  .3E-08 RCVR   7   -1.0000    1.9346    97.4114   -1.050   -.323    -.449 -12.356     66.3503     66.3503      1.4665     99.2029
 -.5E-07 BOTM REF   -2.9598     .0000   107.4338   -1.020   -.497   -1.539   8.489     73.1776     73.1776      1.6175    109.4142
  .2E-07            -1.6122    1.3583   114.8063    -.989   -.476    -.831  11.745     78.1776     78.1776      1.7282    116.9076
 -.4E-06 RCVR   8   -1.0000    1.9735   117.7288    -.977   -.482    -.539  11.826     80.1784     80.1784      1.7724    119.8930
 -.3E-06             -.0952    2.8826   122.7290    -.958   -.491    -.139   7.698     83.5659     83.5659      1.8475    124.9759
 -.2E-06 APOGEE      -.0340    2.9443   123.3849    -.955   -.490    -.115   -.161     84.0003     84.0003      1.8573    125.6353
 -.2E-06 WAVE REV    -.0340    2.9443   123.3849    -.955   -.490    -.115   -.161     84.0003     84.0003      1.8573    125.6353
 -.2E-06             -.0431    2.9354   123.5942    -.954   -.490    -.121  -4.673     84.1378     84.1378      1.8604    125.8448
 -.2E-06             -.2641    2.7155   125.2234    -.948   -.490    -.235  -8.485     85.2253     85.2253      1.8847    127.4891
 -.3E-06 RCVR   9   -1.0000    1.9819   129.0482    -.934   -.502    -.589 -11.733     87.8248     87.8248      1.9422    131.3844
 -.2E-06 BOTM REF   -2.9865     .0000   139.2202    -.896   -.541   -1.452   9.044     94.7420     94.7420      2.0954    141.7468
 -.2E-06            -1.0505    1.9391   149.2267    -.859   -.545    -.698  11.551    101.5420    101.5420      2.2461    151.9372
 -.3E-06 RCVR  10   -1.0000    1.9896   149.4738    -.858   -.546    -.680  11.543    101.7106    101.7106      2.2498    152.1894
 -.2E-06             -.1072    2.8836   154.4643    -.839   -.565    -.371   7.760    105.0856    105.0856      2.3248    157.2604
 -.1E-06 APOGEE      -.0338    2.9571   155.2048    -.837   -.565    -.348   -.071    105.5762    105.5762      2.3358    158.0053
 -.1E-06 WAVE REV    -.0338    2.9571   155.2048    -.837   -.565    -.348   -.071    105.5762    105.5762      2.3358    158.0053
 -.9E-07             -.0398    2.9512   155.3763    -.836   -.565    -.352  -3.853    105.6887    105.6888      2.3383    158.1769
 -.4E-07             -.2519    2.7394   156.9699    -.830   -.566    -.440  -8.306    106.7512    106.7513      2.3621    159.7848
 -.1E-06 RCVR  11   -1.0000    1.9920   160.9212    -.816   -.582    -.731 -11.578    109.4330    109.4331      2.4215    163.8067
 -.8E-07 BOTM REF   -2.9935     .0000   171.3287    -.778   -.596   -1.444   8.749    116.5054    116.5054      2.5782    174.4020
 -.1E-06            -1.1889    1.8057   180.7432    -.746   -.588    -.879  11.949    122.9054    122.9054      2.7199    183.9868
 -.4E-06 RCVR  12   -1.0000    1.9946   181.6361    -.743   -.591    -.823  11.929    123.5170    123.5170      2.7334    184.8993
 -.3E-06             -.1074    2.8877   186.5385    -.727   -.597    -.571   7.638    126.8420    126.8420      2.8070    189.8840
 -.2E-06 APOGEE      -.0350    2.9601   187.2827    -.724   -.596    -.553   -.091    127.3358    127.3358      2.8181    190.6324
 -.2E-06 WAVE REV    -.0350    2.9601   187.2827    -.724   -.596    -.553   -.091    127.3358    127.3358      2.8181    190.6324
 -.2E-06             -.0398    2.9554   187.4350    -.724   -.596    -.555  -3.432    127.4358    127.4358      2.8204    190.7847
 -.2E-06             -.2454    2.7499   189.0078    -.719   -.594    -.627  -8.296    128.4858    128.4858      2.8438    192.3712
 -.4E-06 RCVR  13   -1.0000    1.9956   192.8983    -.706   -.597    -.873 -12.030    131.1364    131.1364      2.9024    196.3350
 -.5E-06 BOTM REF   -2.9962     .0000   203.5948    -.673   -.588   -1.483   7.919    138.4099    138.4099      3.0633    207.2161
 -.5E-06            -1.9368    1.0597   209.8062    -.655   -.572   -1.205  11.338    142.6099    142.6099      3.1564    213.5160
 -.5E-06 MAX RANG   -1.8778    1.1187   210.0987    -.655   -.572   -1.190  11.474    142.8099    142.8099      3.1608    213.8144

                                                                                            THIS RAY CALCULATION TOOK   72.280 SEC
 ELEVATION ANGLE OF TRANSMISSION =   14.0000 DEG
 -.1E-15 XMTR        -.9808    2.0000      .0000                            14.000       .0000       .0000       .0000       .0000
  .2E-06             -.1184    2.8596     3.9008    -.014   -.014   12.450   9.917      2.6750      2.6750       .0591      3.9959
  .1E-06             -.0202    2.9572     4.6611    -.013   -.013   11.624   1.442      3.1813      3.1813       .0704      4.7634
  .1E-06 APOGEE      -.0187    2.9586     4.7902    -.013   -.013   11.335   -.054      3.2656      3.2656       .0723      4.8926
  .1E-06 WAVE REV    -.0187    2.9586     4.7902    -.013   -.013   11.335   -.054      3.2656      3.2656       .0723      4.8926
  .1E-06             -.0490    2.9279     5.2560    -.012   -.013   10.029  -8.283      3.5719      3.5719       .0792      5.3598
  .3E-06             -.3004    2.6753     6.6651    -.012   -.012    5.799 -11.090      4.5219      4.5219       .1004      6.7911
  .2E-07 RCVR   1   -1.0000    1.9727     9.6474    -.013   -.014    -.158 -14.003      6.5782      6.5782       .1457      9.8545
 -.1E-06 BOTM REF   -2.9600     .0000    18.5493    -.010    .206   -6.176  10.186     12.6798     12.6798       .2804     18.9691
 -.1E-06            -1.7236    1.2230    24.4126    -.061    .156   -1.853  13.542     16.6798     16.6798       .3690     24.9601
  .7E-07 RCVR   2   -1.0000    1.9375    27.3220    -.079    .137    -.163  14.155     18.6970     18.6970       .4133     27.9576
  .3E-06             -.1226    2.7988    31.2187    -.098    .117    1.434  10.151     21.3720     21.3720       .4724     31.9527
  .2E-06             -.0182    2.8993    31.9974    -.102    .114    1.579   1.947     21.8908     21.8908       .4840     32.7392
  .2E-06 APOGEE      -.0128    2.9026    32.4041    -.103    .112    1.565   -.017     22.1564     22.1564       .4900     33.1460
  .2E-06 WAVE REV    -.0128    2.9026    32.4041    -.103    .112    1.565   -.017     22.1564     22.1564       .4900     33.1460
  .2E-06             -.0144    2.8997    32.6338    -.104    .111    1.550   -.844     22.3064     22.3064       .4934     33.3757
  .2E-06             -.0793    2.8309    33.3339    -.106    .109    1.399  -9.868     22.7689     22.7689       .5038     34.0799
  .2E-06             -.4217    2.4771    35.1051    -.113    .102     .755 -12.532     23.9689     23.9689       .5305     35.8841
  .5E-07 RCVR   3   -1.0000    1.8806    37.4756    -.120    .094    -.198 -14.153     25.6089     25.6089       .5665     38.3239
 -.1E-06 BOTM REF   -2.7790     .0000    45.2665    -.138   2.653   -2.479  12.635     30.9631     30.9631       .6847     46.3144
 -.4E-08            -1.6227    1.0820    49.9072    -.386   2.405    -.962  15.204     34.1631     34.1631       .7554     51.1002
  .5E-07 RCVR   4   -1.0000    1.6618    52.1548    -.491   2.300    -.256  15.588     35.7338     35.7338       .7899     53.4340
  .4E-06             -.0905    2.4992    55.7357    -.640   2.149     .665  11.971     38.2088     38.2088       .8446     57.1319
  .3E-06             -.0065    2.5735    56.2362    -.659   2.130     .740   6.560     38.5432     38.5432       .8521     57.6400
  .3E-06 SURF REF     .0000    2.5788    56.2926    -.661   2.128     .745  -6.517     38.5803     38.5803       .8529     57.6968
  .3E-06             -.0488    2.5233    56.6468    -.675   2.114     .688 -10.794     38.8146     38.8146       .8582     58.0547
  .5E-06             -.3052    2.2457    57.8238    -.718   2.070     .409 -13.112     39.6146     39.6146       .8760     59.2601
  .2E-06 RCVR   5   -1.0000    1.5146    60.4317    -.808   1.979    -.290 -15.580     41.4271     41.4271       .9160     61.9605
  .9E-07 BOTM REF   -2.5168     .0000    66.1771    -.981   -.413   -1.628  11.913     45.4148     45.4148      1.0038     67.9048
   7/ 1/1990   0h 4m                                                                                                      PAGE   9

  .3E-06            -1.0613    1.5984    72.2693    -.948   -.384    -.389  14.338     49.6148     49.6148      1.0964     74.1674
  .3E-06 RCVR   6   -1.0000    1.6659    72.5091    -.947   -.383    -.341  14.335     49.7813     49.7813      1.1001     74.4148
  .4E-06             -.1073    2.6484    76.4054    -.928   -.369     .311  10.473     52.4563     52.4563      1.1592     78.4130
  .4E-06             -.0147    2.7542    77.0815    -.925   -.366     .371   3.080     52.9063     52.9063      1.1693     79.0962
  .3E-06 SURF REF     .0000    2.7745    77.3854    -.924   -.365     .378  -2.616     53.1049     53.1049      1.1738     79.4004
  .4E-06             -.0285    2.7550    77.8822    -.922   -.363     .350  -5.771     53.4299     53.4299      1.1811     79.8981
  .5E-06             -.1877    2.6111    78.7936    -.918   -.359     .222 -10.778     54.0424     54.0424      1.1948     80.8236
  .3E-06 RCVR   7   -1.0000    1.8466    82.2672    -.904   -.351    -.383 -14.302     56.4312     56.4312      1.2476     84.3913
  .2E-06 BOTM REF   -2.9130     .0000    90.5056    -.872  -1.030   -1.630  10.348     62.0907     62.0908      1.3726     92.8480
  .4E-06            -1.4652    1.4772    97.2370    -.802   -.967    -.723  13.513     66.6908     66.6908      1.4743     99.7329
  .3E-06 RCVR   8   -1.0000    1.9482    99.1598    -.784   -.956    -.457  13.622     68.0193     68.0193      1.5036    101.7111
  .5E-06             -.1302    2.8276   103.1436    -.747   -.934     .009   9.972     70.7443     70.7444      1.5639    105.7899
  .4E-06             -.0204    2.9390   103.9411    -.740   -.928     .062   2.046     71.2756     71.2756      1.5758    106.5958
  .4E-06 APOGEE      -.0169    2.9429   104.1662    -.738   -.926     .062   -.051     71.4225     71.4225      1.5791    106.8209
  .4E-06 WAVE REV    -.0169    2.9429   104.1662    -.738   -.926     .062   -.051     71.4225     71.4225      1.5791    106.8209
  .4E-06             -.0277    2.9328   104.5105    -.735   -.924     .052  -4.479     71.6475     71.6475      1.5842    107.1656
  .5E-06             -.2094    2.7531   105.6202    -.726   -.917    -.057 -10.224     72.3912     72.3912      1.6009    108.2905
  .3E-06 RCVR   9   -1.0000    1.9680   109.1722    -.697   -.904    -.501 -13.547     74.8237     74.8237      1.6547    111.9302
  .2E-06 BOTM REF   -2.9775     .0000   118.0022    -.629   -.958   -1.500  10.589     80.8701     80.8701      1.7884    120.9783
  .4E-06            -1.3162    1.6666   125.6139    -.571   -.921    -.718  13.227     86.0701     86.0701      1.9036    128.7684
  .4E-06 RCVR  10   -1.0000    1.9835   126.9610    -.561   -.922    -.580  13.183     86.9964     86.9964      1.9240    130.1520
  .6E-06             -.1308    2.8547   131.0325    -.533   -.922    -.218   9.947     89.7714     89.7714      1.9856    134.3163
  .6E-06             -.0196    2.9662   131.8406    -.527   -.919    -.175   2.104     90.3089     90.3089      1.9977    135.1329
  .6E-06 APOGEE      -.0149    2.9711   132.1571    -.525   -.918    -.176   -.035     90.5151     90.5152      2.0023    135.4495
  .6E-06 WAVE REV    -.0149    2.9711   132.1571    -.525   -.918    -.176   -.035     90.5151     90.5152      2.0023    135.4495
  .6E-06             -.0182    2.9678   132.4161    -.523   -.917    -.179  -1.642     90.6839     90.6839      2.0062    135.7085
  .6E-06             -.1040    2.8823   133.1137    -.518   -.915    -.221  -9.862     91.1464     91.1464      2.0166    136.4124
  .5E-06             -.5923    2.3950   135.5879    -.502   -.913    -.446 -12.752     92.8214     92.8214      2.0539    138.9348
  .4E-06 RCVR  11   -1.0000    1.9879   137.3491    -.490   -.917    -.626 -13.126     94.0299     94.0299      2.0806    140.7425
  .3E-06 BOTM REF   -2.9904     .0000   146.2585    -.433   -.926   -1.445  10.886    100.1225    100.1225      2.2155    149.8706
  .5E-06            -1.5123    1.4795   152.9963    -.392   -.903    -.887  13.196    104.7225    104.7225      2.3175    156.7677
  .4E-06 RCVR  12   -1.0000    1.9922   155.1897    -.379   -.910    -.705  13.086    106.2289    106.2289      2.3508    159.0199
  .6E-06             -.1342    2.8587   159.2642    -.355   -.917    -.412   9.927    109.0039    109.0039      2.4124    163.1864
  .5E-06             -.0195    2.9735   160.1006    -.350   -.916    -.376   1.968    109.5602    109.5602      2.4249    164.0316
  .5E-06 APOGEE      -.0156    2.9775   160.3739    -.348   -.915    -.376   -.042    109.7383    109.7383      2.4289    164.3050
  .5E-06 WAVE REV    -.0156    2.9775   160.3739    -.348   -.915    -.376   -.042    109.7383    109.7383      2.4289    164.3050
  .5E-06             -.0215    2.9717   160.6807    -.346   -.915    -.381  -2.625    109.9383    109.9383      2.4334    164.6119
  .6E-06             -.1441    2.8492   161.5250    -.342   -.913    -.430  -9.955    110.5008    110.5008      2.4461    165.4658
  .3E-06             -.8617    2.1320   164.9413    -.322   -.917    -.700 -13.106    112.8258    112.8258      2.4977    168.9575
  .4E-06 RCVR  13   -1.0000    1.9938   165.5342    -.319   -.919    -.751 -13.134    113.2332    113.2332      2.5067    169.5663
  .1E-06 BOTM REF   -2.9948     .0000   174.5912    -.269   -.914   -1.446  10.549    119.4250    119.4250      2.6438    178.8397
  .3E-06            -1.3307    1.6647   182.2004    -.231   -.891    -.929  13.422    124.6250    124.6250      2.7589    186.6280
  .3E-06 RCVR  14   -1.0000    1.9956   183.5857    -.224   -.893    -.832  13.413    125.5800    125.5800      2.7800    188.0522
  .6E-06             -.1330    2.8629   187.6118    -.204   -.891    -.585   9.843    128.3300    128.3300      2.8409    192.1718
  .5E-06             -.0209    2.9751   188.4473    -.200   -.889    -.556   1.564    128.8863    128.8863      2.8533    193.0158
  .5E-06 APOGEE      -.0192    2.9767   188.5766    -.199   -.889    -.556   -.040    128.9706    128.9707      2.8553    193.1451
  .5E-06 WAVE REV    -.0192    2.9767   188.5766    -.199   -.889    -.556   -.040    128.9706    128.9707      2.8553    193.1451
  .5E-06             -.0492    2.9468   189.0334    -.197   -.888    -.568  -8.228    129.2706    129.2707      2.8620    193.6034
  .6E-06             -.2966    2.6994   190.4456    -.190   -.884    -.651 -10.778    130.2206    130.2207      2.8832    195.0373
  .3E-06 RCVR  15   -1.0000    1.9963   193.5470    -.175   -.882    -.876 -13.489    132.3496    132.3497      2.9302    198.2177
  .2E-06 BOTM REF   -2.9968     .0000   202.7494    -.134   -.862   -1.482   9.968    138.6453    138.6453      3.0694    207.6343
  .2E-06            -1.6529    1.3442   209.2034    -.107   -.839   -1.125  13.342    143.0453    143.0453      3.1669    214.2260
  .4E-06 MAX RANG   -1.4448    1.5522   210.0720    -.104   -.837   -1.071  13.577    143.6453    143.6453      3.1801    215.1191

                                                                                            THIS RAY CALCULATION TOOK  101.120 SEC

N01-1     Sample Case for PC-HARPO Documentation, Rev.  6-20-90                                       7/ 1/1990   0h 4m   PAGE  10

 AZIMUTH ANGLE OF TRANSMISSION   =   80.000000 DEG      TRANSMITTER  LATITUDE  =     .000000 DEG    FREQUENCY =        400.000000 HZ
 ELEVATION ANGLE OF TRANSMISSION =   16.000000 DEG      TRANSMITTER  LONGITUDE =     .000000 DEG    SINGLE STEP ERROR = 1.000000E-06

                        ELEVATION                    AZIMUTH          ELEVATION
                   ABOVE      ABOVE                 DEVIATION          ANGLE
  ERROR   EVENT    SEA LEVEL  TERRAIN     RANGE    XMTR   LOCAL     XMTR   LOCAL     PULSE TIME  PHASE TIME  ABSORPTION PATH LENGTH
                     KM        KM        KM        DEG     DEG      DEG     DEG        SEC         SEC         DB          KM  
  .6E-16 XMTR        -.9808    2.0000      .0000                            16.000       .0000       .0000       .0000       .0000
  .2E-06             -.0835    2.8949     3.4327    -.014   -.014   14.634  12.436      2.3750      2.3750       .0525      3.5486
  .2E-06             -.0050    2.9730     3.8770    -.013   -.014   14.111   7.448      2.6719      2.6719       .0591      4.0000
  .1E-06 SURF REF     .0000    2.9780     3.9152    -.013   -.014   14.047  -7.420      2.6970      2.6970       .0597      4.0386
  .1E-06             -.0555    2.9222     4.2683    -.013   -.013   12.213 -11.786      2.9314      2.9314       .0650      4.3961
  .4E-06             -.3556    2.6210     5.5701    -.012   -.012    6.379 -14.064      3.8189      3.8189       .0847      5.7321
 -.3E-07 RCVR   1   -1.0000    1.9745     7.8975    -.013   -.014    -.175 -16.003      5.4410      5.4410       .1204      8.1469
 -.3E-06 BOTM REF   -2.9653     .0000    15.3961    -.010    .213   -7.416  12.811     10.6304     10.6304       .2350     15.8979
 -.4E-07            -1.3042    1.6493    21.7624    -.075    .148    -.950  16.069     15.0304     15.0304       .3323     22.4762
 -.4E-07 RCVR   2   -1.0000    1.9510    22.8151    -.083    .140    -.151  16.139     15.7682     15.7682       .3485     23.5718
  .1E-06             -.0827    2.8586    26.2807    -.103    .119    1.839  12.606     18.1682     18.1682       .4015     27.1573
  .2E-06             -.0031    2.9368    26.7249    -.105    .117    1.975   7.730     18.4651     18.4651       .4081     27.6088
  .1E-06 SURF REF     .0000    2.9398    26.7475    -.105    .117    1.980  -7.714     18.4800     18.4800       .4085     27.6316
  .1E-06             -.0596    2.8789    27.1094    -.107    .115    1.824 -12.156     18.7206     18.7206       .4139     27.9985
  .4E-06             -.3785    2.5552    28.4642    -.113    .109    1.084 -14.413     19.6456     19.6456       .4345     29.3904
  .5E-07 RCVR   3   -1.0000    1.9244    30.6799    -.122    .099    -.174 -16.138     21.1918     21.1918       .4685     31.6915
 -.2E-06 BOTM REF   -2.8791     .0000    37.7222    -.143   1.485   -3.051  13.972     26.0731     26.0731       .5762     38.9792
 -.2E-06            -1.4867    1.3450    42.7673    -.319   1.308    -.870  16.689     29.5731     29.5731       .6536     44.2132
 -.3E-06 RCVR   4   -1.0000    1.8118    44.3760    -.367   1.260    -.224  16.889     30.7047     30.7047       .6784     45.8940
 -.3E-06             -.0693    2.6918    47.7025    -.456   1.169     .880  13.415     33.0172     33.0172       .7295     49.3494
 -.2E-06 SURF REF     .0000    2.7549    48.0587    -.465   1.161     .953  -9.230     33.2556     33.2556       .7349     49.7125
 -.1E-06             -.0077    2.7463    48.1059    -.466   1.159     .943  -9.268     33.2869     33.2869       .7356     49.7604
 -.2E-07             -.0989    2.6473    48.5373    -.477   1.149     .823 -13.665     33.5775     33.5775       .7421     50.2015
 -.5E-06             -.8743    1.8155    51.3273    -.540   1.085    -.112 -16.849     35.5150     35.5150       .7849     53.0982
 -.4E-06 RCVR   5   -1.0000    1.6806    51.7418    -.549   1.075    -.254 -16.886     35.8066     35.8066       .7914     53.5313
 -.3E-06 BOTM REF   -2.5573     .0000    57.1345    -.652   5.462   -1.838  16.468     39.5718     39.5718       .8743     59.1442
 -.5E-06            -1.1110    1.4095    61.6638   -1.055   5.057    -.398  18.382     42.7718     42.7718       .9449     63.9162
 -.5E-06 RCVR   6   -1.0000    1.5183    61.9964   -1.083   5.030    -.297  18.383     43.0087     43.0087       .9501     64.2680
 -.4E-06             -.0607    2.4436    65.0092   -1.318   4.793     .519  15.127     45.1274     45.1274       .9969     67.4348
 -.4E-06 SURF REF     .0000    2.5035    65.2683   -1.337   4.774     .567 -11.851     45.3027     45.3027      1.0008     67.7019
 -.5E-06             -.0188    2.4845    65.3570   -1.343   4.768     .549 -12.108     45.3620     45.3620      1.0022     67.7929
 -.2E-06             -.2051    2.2966    66.0428   -1.393   4.718     .376 -15.817     45.8339     45.8339      1.0127     68.5059
 -.9E-06 RCVR   7   -1.0000    1.5003    68.5421   -1.566   4.543    -.324 -18.376     47.5969     47.5969      1.0516     71.1365
 -.7E-06 BOTM REF   -2.5168     .0000    73.2669   -1.861   1.370   -1.531  15.683     50.9337     50.9337      1.1251     76.1111
 -.9E-06 RCVR   8   -1.0000    1.5937    78.2658   -1.950   1.277    -.366  17.518     54.4373     54.4373      1.2024     81.3353
 -.7E-06             -.0628    2.5914    81.4574   -2.001   1.222     .279  14.213     56.6623     56.6623      1.2516     84.6628
 -.8E-06 SURF REF     .0000    2.6597    81.7521   -2.005   1.217     .320 -10.579     56.8600     56.8600      1.2560     84.9642
 -.7E-06             -.0186    2.6430    81.8509   -2.007   1.216     .305 -10.852     56.9256     56.9256      1.2575     85.0648
 -.5E-06             -.1767    2.4966    82.4834   -2.016   1.206     .188 -14.797     57.3569     57.3569      1.2671     85.7170
 -.9E-06 RCVR   9   -1.0000    1.7211    85.2403   -2.056   1.161    -.396 -17.499     59.2834     59.2834      1.3097     88.5949
 -.8E-06 BOTM REF   -2.8039     .0000    91.2552   -2.133  -1.725   -1.555  13.679     63.4879     63.4879      1.4025     94.8744
 -.6E-06            -1.1211    1.7570    97.4561   -2.024  -1.626    -.521  16.054     67.7879     67.7879      1.4975    101.3007
 -.6E-06 RCVR  10   -1.0000    1.8817    97.8766   -2.017  -1.620    -.451  16.051     68.0819     68.0819      1.5040    101.7384
 -.4E-06             -.0850    2.8212   101.3112   -1.963  -1.577     .051  12.950     70.4569     70.4569      1.5566    105.2944
 -.5E-06             -.0008    2.9081   101.7598   -1.956  -1.571     .094   8.329     70.7569     70.7569      1.5633    105.7512
 -.5E-06 SURF REF     .0000    2.9090   101.7652   -1.956  -1.571     .095  -8.326     70.7605     70.7604      1.5634    105.7567
 -.5E-06             -.0680    2.8431   102.1449   -1.951  -1.566     .053 -12.749     71.0136     71.0136      1.5691    106.1427
 -.3E-06             -.4618    2.4578   103.7530   -1.927  -1.546    -.180 -15.059     72.1136     72.1136      1.5936    107.7989
 -.6E-06 RCVR  11   -1.0000    1.9283   105.6589   -1.899  -1.527    -.486 -16.008     73.4412     73.4412      1.6229    109.7798
 -.9E-06 BOTM REF   -2.9512     .0000   112.8133   -1.803  -1.841   -1.508  13.397     78.3987     78.3987      1.7325    117.1962
 -.7E-06            -1.1041    1.8610   119.7562   -1.696  -1.754    -.598  15.571     83.1987     83.1987      1.8387    124.3822
 -.7E-06 RCVR  12   -1.0000    1.9656   120.1295   -1.691  -1.752    -.549  15.561     83.4584     83.4584      1.8445    124.7699
 -.6E-06             -.0862    2.8842   123.6498   -1.641  -1.723    -.142  12.758     85.8834     85.8833      1.8983    128.4087
 -.6E-06             -.0036    2.9674   124.0942   -1.635  -1.718    -.107   8.097     86.1803     86.1802      1.9049    128.8611
 -.6E-06 SURF REF     .0000    2.9710   124.1192   -1.635  -1.718    -.105  -8.086     86.1967     86.1967      1.9053    128.8864
 -.7E-06             -.0611    2.9103   124.4767   -1.630  -1.714    -.136 -12.375     86.4342     86.4342      1.9107    129.2493
 -.5E-06             -.3875    2.5855   125.8629   -1.611  -1.701    -.296 -14.243     87.3780     87.3780      1.9317    130.6741
 -.9E-06 RCVR  13   -1.0000    1.9752   128.1144   -1.581  -1.688    -.585 -15.517     88.9375     88.9375      1.9663    133.0081
 -.1E-05 BOTM REF   -2.9809     .0000   135.4746   -1.489  -1.724   -1.455  13.598     94.0267     94.0266      2.0789    140.6313
 -.9E-06            -1.6847    1.2991   140.4060   -1.428  -1.674    -.919  15.436     97.4267     97.4266      2.1543    145.7308
 -.8E-06 RCVR  14   -1.0000    1.9850   142.8894   -1.399  -1.666    -.650  15.337     99.1495     99.1495      2.1924    148.3074
 -.7E-06             -.0845    2.9020   146.4535   -1.358  -1.652    -.308  12.720    101.5995    101.5995      2.2468    151.9888
 -.7E-06             -.0012    2.9855   146.9079   -1.353  -1.648    -.279   8.085    101.9027    101.9026      2.2537    152.4513
 -.7E-06 SURF REF     .0000    2.9867   146.9161   -1.353  -1.648    -.278  -8.082    101.9081    101.9080      2.2538    152.4596
 -.8E-06             -.0651    2.9217   147.2923   -1.349  -1.645    -.306 -12.469    102.1581    102.1580      2.2595    152.8417
 -.5E-06             -.4230    2.5644   148.8073   -1.332  -1.637    -.454 -14.360    103.1893    103.1893      2.2825    154.3990
 -.9E-06 RCVR  15   -1.0000    1.9881   150.9431   -1.309  -1.632    -.686 -15.335    104.6667    104.6667      2.3152    156.6119
   7/ 1/1990   0h 4m                                                                                                      PAGE  11

 -.1E-05 BOTM REF   -2.9902     .0000   158.3933   -1.231  -1.623   -1.439  13.562    109.8135    109.8135      2.4292    164.3244
 -.1E-05            -1.7753    1.2160   163.0372   -1.184  -1.585   -1.012  15.427    113.0135    113.0135      2.5002    169.1249
 -.9E-06 RCVR  16   -1.0000    1.9918   165.8384   -1.157  -1.578    -.752  15.416    114.9585    114.9585      2.5431    172.0318
 -.7E-06             -.0842    2.9082   169.3993   -1.123  -1.568    -.459  12.642    117.4085    117.4085      2.5975    175.7102
 -.8E-06             -.0024    2.9901   169.8489   -1.119  -1.565    -.434   7.931    117.7085    117.7085      2.6043    176.1676
 -.8E-06 SURF REF     .0000    2.9925   169.8664   -1.119  -1.565    -.433  -7.923    117.7200    117.7200      2.6045    176.1853
 -.8E-06             -.0620    2.9306   170.2334   -1.116  -1.562    -.456 -12.297    117.9638    117.9637      2.6100    176.5577
 -.5E-06             -.3859    2.6069   171.6202   -1.103  -1.556    -.573 -14.144    118.9075    118.9075      2.6311    177.9824
 -.9E-06 RCVR  17   -1.0000    1.9931   173.8890   -1.082  -1.551    -.788 -15.459    120.4791    120.4791      2.6659    180.3335
 -.1E-05 BOTM REF   -2.9941     .0000   181.4326   -1.016  -1.525   -1.452  13.200    125.6912    125.6911      2.7812    188.1371
 -.9E-06            -1.1587    1.8361   188.3780    -.959  -1.483    -.901  15.678    130.4912    130.4911      2.8874    195.3217
 -.9E-06 RCVR  18   -1.0000    1.9949   188.9434    -.955  -1.482    -.856  15.669    130.8852    130.8852      2.8961    195.9090
 -.8E-06             -.0845    2.9107   192.4767    -.927  -1.467    -.599  12.533    133.3227    133.3227      2.9501    199.5606
 -.8E-06             -.0045    2.9908   192.9211    -.924  -1.465    -.578   7.682    133.6196    133.6195      2.9568    200.0125
 -.8E-06 SURF REF     .0000    2.9953   192.9544    -.923  -1.464    -.577  -7.663    133.6416    133.6415      2.9573    200.0462
 -.8E-06             -.0572    2.9381   193.3075    -.921  -1.462    -.596 -11.983    133.8759    133.8759      2.9626    200.4041
 -.4E-06             -.3653    2.6301   194.6382    -.911  -1.455    -.694 -14.055    134.7822    134.7821      2.9828    201.7704
 -.8E-06 RCVR  19   -1.0000    1.9956   196.9597    -.893  -1.446    -.891 -15.715    136.3953    136.3952      3.0184    204.1778
 -.9E-06 BOTM REF   -2.9961     .0000   204.5749    -.838  -1.412   -1.485  12.804    141.6603    141.6602      3.1347    212.0512
 -.7E-06 MAX RANG   -1.5880    1.4085   210.0885    -.801  -1.378   -1.110  15.626    145.4603    145.4602      3.2189    217.7421

                                                                                            THIS RAY CALCULATION TOOK  108.040 SEC
&l8D(s16.66H      
    7/ 1/1990   0h 4m                                                                                                      PAGE  12
 ___________________________________________________________________________________________________________________________________

                                                     <<<<<   H A R P O   >>>>>
                                       HAMILTONIAN ACOUSTIC RAY-TRACING PROGRAM FOR THE OCEAN
                                                                  
                                                                 BY
                                           R. M. JONES,  J. P. RILEY  AND  T. M. GEORGES
                                                    WAVE PROPAGATION LABORATORY
                                          NATIONAL OCEANIC AND ATMOSPHERIC ADMINISTRATION
                                                      BOULDER, COLORADO 80303
                                                                  
                                PC VERSION 7/1//90 BY T. M. GEORGES, R. M. JONES AND R. S. LAWRENCE

 ___________________________________________________________________________________________________________________________________










                                                         RUN SET NUMBER    2

                                                         OCEAN MODEL ID: N01

                         OCEAN MODEL DESCRIPTION:      Sample Case for PC-HARPO Documentation, Rev.  6-20-90

 

 ___________________________________________________________________________________________________________________________________

        MODEL                 SUBROUTINE    DATA SET       DESCRIPTION
        TYPE                     NAME         ID

 ___________________________________________________________________________________________________________________________________

 DISPERSION RELATION           AWCWL                 ACOUSTIC WAVE --- WITH CURRENT --- WITH LOSSES
 BACKGROUND CURRENT VELOCITY   VVORTX3       3.00    VORTEX AT LONGITUDE 150 KM E, UMAX= 1.02 M/S, R= 50 KM
 CURRENT VELOCITY PERTURBATION NPCURR         .00    NO CURRENT PERTURBATION
 BACKGROUND SOUND SPEED        CTANH         1.00    EL NINO BACKGROUND SOUND-SPEED PROFILE
 SOUND SPEED PERTURBATION      CBLOB2        7.00    2% INCREASE IN C-SQUARED AT 150 KM LON., 1 KM DEPTH, 50 KM WIDE
 BACKGROUND BOTTOM             GLORENZ       3.00    RIDGE .5 KM HIGH, 2 KM WIDE AT 10 KM N LATITUDE; BASE= -3 KM
 BOTTOM PERTURBATION           NPBOTM         .00    NO BOTTOM PERTURBATION
 ABSORPTION                    SLLOSS        1.00    SKRETTING-LEROY ABSORPTION FORMULA
 ABSORPTION PERTURBATION       NPABSR         .00    NO ABSORPTION PERTURBATION
 RECEIVER SURFACE              RHORIZ         .00    RECEIVER SURFACE = SPHERE 1 KM BELOW MSL
 OCEAN SURFACE                 SHORIZ        1.00    OCEAN SURFACE = SPHERE AT MSL
 OCEAN SURFACE PERTURBATION    NPSURF         .00    NO OCEAN SURFACE PERTURBATION
 ___________________________________________________________________________________________________________________________________
   7/ 1/1990   0h 4m                                                                                                      PAGE  13
 ___________________________________________________________________________________________________________________________________

                                               INPUT DATA FILE FOR RUNSET NUMBER   2

 ___________________________________________________________________________________________________________________________________

 N01-2     Sample Case for PC-HARPO Documentation, Rev.  6-20-90
  71        0.           NUMBER OF INTEGRATION STEPS PER PRINT [1.E9]
  72        0.           OUTPUT RAYSETS (1=YES; 0=NO)
  73        1.           DIAGNOSTIC PRINTOUT (1=YES; 0=NO)
  81        2.           RAYPLOT PROJECTION PLANE (2 = HORIZONTAL)
  88       -1.           HEIGHT OF HORIZONTAL PLOT SECTION ABOVE MSL, KM
   0                     **********  END OF RUN SET NUMBER 2  *********
   7/ 1/1990   0h 4m                                                                                                      PAGE  14
 ___________________________________________________________________________________________________________________________________

                                                   INITIAL VALUES FOR THE W ARRAY
                                        ONLY NONZERO VALUES PRINTED -- ALL ANGLES IN RADIANS

 ___________________________________________________________________________________________________________________________________


 N              W(N)                                               N              W(N)
   1    .637000000000000E+04                                       504    .606731172003931E-01
   3   -.980769230769229E+00                                       505    .628318530717959E+04
   7    .251327412287184E+04                                       506    .106814150222053E+05
  11    .139626340159546E+01
  15    .349065850398866E-01
  16    .279252680319093E+00
  17    .349065850398866E-01
  20   -.100000000000000E+01
  22    .500000000000000E+02
  23    .100000000000000E+04
  24    .157079632679490E+01
  26    .500000000000000E+01
  27   -.500000000000000E+01
  28    .210000000000000E+03
  33    .200000000000000E+02
  41    .300000000000000E+01
  42    .100000000000000E-05
  43    .500000000000000E+02
  44    .100000000000000E+00
  45    .100000000000000E+03
  46    .100000000000000E-07
  47    .500000000000000E+00
  57    .200000000000000E+01
  58    .200000000000000E+01
  60    .200000000000000E+01
  71    .214748364700000E+10 INPUT OVERRIDDEN
  73    .100000000000000E+01
  75    .150000000000000E+00
  77    .760000000000000E+02
  81    .200000000000000E+01
  82    .400000000000000E+02
  85    .551020408163265E-02
  86    .313971742543171E-01
  87    .784929356357928E-02
  88   -.100000000000000E+01
  96    .100000000000000E+01
 100    .900000000000000E+01
 102    .300000000000000E+01
 103    .102000000000000E-02
 104    .500000000000000E+02
 106    .235478806907378E-01
 107    .100000000000000E+01
 108   -.100000000000000E+01
 150    .700000000000000E+01
 152    .100000000000000E+01
 175    .200000000000000E+01
 177    .700000000000000E+01
 178    .200000000000000E-01
 179   -.100000000000000E+01
 181    .235478806907378E-01
 182    .100000000000000E+01
 183    .784929356357928E-02
 184    .784929356357928E-02
 275    .100000000000000E+01
 300    .400000000000000E+01
 302    .300000000000000E+01
 303    .500000000000000E+00
 304    .156985871271586E-02
 305    .313971742543171E-03
 306   -.300000000000000E+01
 350    .100000000000000E+01
 352    .100000000000000E+01
 500    .100000000000000E+01
 502    .100000000000000E+01
 503    .138155105579643E-02

N01-2     Sample Case for PC-HARPO Documentation, Rev.  6-20-90                                       7/ 1/1990   0h 4m   PAGE  15

 AZIMUTH ANGLE OF TRANSMISSION   =   80.000000 DEG      TRANSMITTER  LATITUDE  =     .000000 DEG    FREQUENCY =        400.000000 HZ
 ELEVATION ANGLE OF TRANSMISSION =    2.000000 DEG      TRANSMITTER  LONGITUDE =     .000000 DEG    SINGLE STEP ERROR = 1.000000E-06

                        ELEVATION                    AZIMUTH          ELEVATION
                   ABOVE      ABOVE                 DEVIATION          ANGLE
  ERROR   EVENT    SEA LEVEL  TERRAIN     RANGE    XMTR   LOCAL     XMTR   LOCAL     PULSE TIME  PHASE TIME  ABSORPTION PATH LENGTH
                     KM        KM        KM        DEG     DEG      DEG     DEG        SEC         SEC         DB          KM  
 -.5E-16 XMTR        -.9808    2.0000      .0000                             2.000       .0000       .0000       .0000       .0000
  .8E-09 APOGEE      -.7737    2.1992     9.5046    -.018   -.019    1.205   -.014      6.4000      6.4000       .1405      9.5061
  .8E-09 WAVE REV    -.7737    2.1992     9.5046    -.018   -.019    1.205   -.014      6.4000      6.4000       .1405      9.5061
 -.2E-07 BACK UP0   -1.0204    1.9367    20.0479    -.018   -.020    -.203  -2.037     13.5000     13.5000       .2964     20.0514
 -.2E-07 BACK UP1   -1.0000    1.9582    19.4734    -.018   -.020    -.144  -2.022     13.1129     13.1129       .2879     19.4767
 -.2E-07 RCVR   1   -1.0000    1.9582    19.4734    -.018   -.020    -.144  -2.022     13.1129     13.1129       .2879     19.4767
 -.1E-07 PERIGEE    -1.3869    1.5043    35.8077    -.017   -.023    -.811    .016     24.1129     24.1129       .5294     35.8134
 -.1E-07 WAVE REV   -1.3869    1.5043    35.8077    -.017   -.023    -.811    .016     24.1129     24.1129       .5294     35.8134
 -.2E-07 BACK UP0    -.9965    1.5972    52.1429    -.016   -.027    -.252   2.007     35.1129     35.1129       .7709     52.1510
 -.2E-07 BACK UP1   -1.0000    1.5965    52.0417    -.016   -.027    -.255   2.010     35.0447     35.0447       .7694     52.0498
 -.2E-07 RCVR   2   -1.0000    1.5965    52.0417    -.016   -.027    -.255   2.010     35.0447     35.0447       .7694     52.0498
 -.1E-07 APOGEE      -.7732    1.7938    62.2163    -.016   -.033    -.089   -.023     41.8947     41.8947       .9199     62.2262
 -.1E-07 WAVE REV    -.7732    1.7938    62.2163    -.016   -.033    -.089   -.023     41.8947     41.8947       .9199     62.2262
 -.3E-07 BACK UP0   -1.0158    1.7998    72.7647    -.015   -.042    -.355  -2.002     48.9947     48.9947      1.0759     72.7765
 -.3E-07 BACK UP1   -1.0000    1.8084    72.3109    -.015   -.042    -.340  -1.990     48.6891     48.6891      1.0691     72.3225
 -.3E-07 RCVR   3   -1.0000    1.8084    72.3109    -.015   -.042    -.340  -1.990     48.6891     48.6891      1.0691     72.3225
 -.3E-07 PERIGEE    -1.4302    1.5166    91.0432    -.009   -.070    -.692    .029     61.2891     61.2891      1.3461     91.0571
 -.3E-07 WAVE REV   -1.4302    1.5166    91.0432    -.009   -.070    -.692    .029     61.2891     61.2891      1.3461     91.0571
 -.3E-07 BACK UP0    -.9993    1.9799   112.7886     .006   -.147    -.517   1.417     75.8891     75.8891      1.6676    112.8031
 -.3E-07 BACK UP1   -1.0000    1.9792   112.7596     .006   -.147    -.517   1.418     75.8697     75.8697      1.6671    112.7741
 -.3E-07 RCVR   4   -1.0000    1.9792   112.7596     .006   -.147    -.517   1.418     75.8697     75.8697      1.6671    112.7741
 -.3E-07 APOGEE      -.7919    2.1946   126.4921     .024   -.226    -.483   -.038     85.0697     85.0697      1.8701    126.5068
 -.3E-07 WAVE REV    -.7919    2.1946   126.4921     .024   -.226    -.483   -.038     85.0697     85.0697      1.8701    126.5068
 -.3E-07 BACK UP0   -1.0043    1.9865   140.8412     .052   -.325    -.643  -1.287     94.6697     94.6697      2.0823    140.8559
 -.3E-07 BACK UP1   -1.0000    1.9907   140.6506     .051   -.324    -.640  -1.281     94.5422     94.5422      2.0794    140.6653
 -.3E-07 RCVR   5   -1.0000    1.9907   140.6506     .051   -.324    -.640  -1.281     94.5422     94.5422      2.0794    140.6653
 -.3E-07 PERIGEE    -1.8317    1.1635   172.3289     .136   -.470   -1.058    .068    115.7422    115.7422      2.5478    172.3494
 -.3E-07 WAVE REV   -1.8317    1.1635   172.3289     .136   -.470   -1.058    .068    115.7422    115.7422      2.5478    172.3494
 -.5E-07 BACK UP0    -.9856    2.0111   194.3880     .198   -.504    -.876   3.118    130.5422    130.5422      2.8742    194.4236
 -.5E-07 BACK UP1   -1.0000    1.9967   194.1240     .197   -.503    -.879   3.128    130.3646    130.3646      2.8702    194.1592
 -.5E-07 RCVR   6   -1.0000    1.9967   194.1240     .197   -.503    -.879   3.128    130.3646    130.3646      2.8702    194.1592
 -.4E-07 APOGEE      -.6456    2.3515   203.6492     .223   -.510    -.822   -.031    136.7646    136.7646      3.0112    203.6915
 -.4E-07 WAVE REV    -.6456    2.3515   203.6492     .223   -.510    -.822   -.031    136.7646    136.7646      3.0112    203.6915
 -.5E-07 MAX RANG    -.8511    2.1462   210.1960     .240   -.509    -.910  -2.971    141.1646    141.1646      3.1080    210.2419

                                                                                            THIS RAY CALCULATION TOOK   22.410 SEC
 ELEVATION ANGLE OF TRANSMISSION =    4.0000 DEG
 -.1E-16 XMTR        -.9808    2.0000      .0000                             4.000       .0000       .0000       .0000       .0000
  .2E-07 APOGEE      -.5981    2.3760     8.2406    -.017   -.018    2.622   -.098      5.5500      5.5500       .1220      8.2504
  .2E-07 WAVE REV    -.5981    2.3760     8.2406    -.017   -.018    2.622   -.098      5.5500      5.5500       .1220      8.2504
 -.4E-08 BACK UP0   -1.0007    1.9629    16.5543    -.017   -.019    -.143  -4.012     11.1500     11.1500       .2450     16.5745
 -.4E-08 BACK UP1   -1.0000    1.9635    16.5446    -.017   -.019    -.141  -4.012     11.1435     11.1435       .2449     16.5649
 -.4E-08 RCVR   1   -1.0000    1.9635    16.5446    -.017   -.019    -.141  -4.012     11.1435     11.1435       .2449     16.5649
 -.4E-08 PERIGEE    -1.6999    1.2170    31.8384    -.015   -.019   -1.437    .069     21.4435     21.4435       .4712     31.8750
 -.4E-08 WAVE REV   -1.6999    1.2170    31.8384    -.015   -.019   -1.437    .069     21.4435     21.4435       .4712     31.8750
 -.6E-07 BACK UP0    -.9898    1.7412    46.9831    -.015   -.023    -.222   3.996     31.6435     31.6435       .6953     47.0363
 -.6E-07 BACK UP1   -1.0000    1.7344    46.8372    -.015   -.022    -.234   4.001     31.5450     31.5450       .6932     46.8901
 -.6E-07 RCVR   2   -1.0000    1.7344    46.8372    -.015   -.022    -.234   4.001     31.5450     31.5450       .6932     46.8901
 -.4E-07 APOGEE      -.5978    1.9213    55.3751    -.015   -.026     .147   -.094     37.2950     37.2950       .8195     55.4384
 -.4E-07 WAVE REV    -.5978    1.9213    55.3751    -.015   -.026     .147   -.094     37.2950     37.2950       .8195     55.4384
 -.6E-07 BACK UP0   -1.0181    1.5972    63.9874    -.014   -.031    -.321  -3.992     43.0950     43.0950       .9470     64.0617
 -.6E-07 BACK UP1   -1.0000    1.6081    63.7278    -.014   -.031    -.304  -3.985     42.9199     42.9199       .9432     63.8015
 -.6E-07 RCVR   3   -1.0000    1.6081    63.7278    -.014   -.031    -.304  -3.985     42.9199     42.9199       .9432     63.8015
 -.2E-07 PERIGEE    -1.7286    1.1645    79.7738    -.012   -.043    -.896    .058     53.7199     53.7199      1.1806     79.8643
 -.2E-07 WAVE REV   -1.7286    1.1645    79.7738    -.012   -.043    -.896    .058     53.7199     53.7199      1.1806     79.8643
 -.6E-07 BACK UP0    -.9931    1.9664    96.4298    -.006   -.075    -.441   3.614     64.9199     64.9199      1.4271     96.5359
 -.6E-07 BACK UP1   -1.0000    1.9593    96.3209    -.006   -.074    -.445   3.618     64.8465     64.8465      1.4255     96.4267
 -.6E-07 RCVR   4   -1.0000    1.9593    96.3209    -.006   -.074    -.445   3.618     64.8465     64.8465      1.4255     96.4267
 -.5E-07 APOGEE      -.5997    2.3730   105.5524    -.001   -.106    -.268   -.032     71.0465     71.0465      1.5621    105.6674
 -.5E-07 WAVE REV    -.5997    2.3730   105.5524    -.001   -.106    -.268   -.032     71.0465     71.0465      1.5621    105.6674
 -.6E-07 BACK UP0   -1.0116    1.9692   115.0918     .007   -.149    -.533  -3.482     77.4465     77.4465      1.7032    115.2161
 -.6E-07 BACK UP1   -1.0000    1.9806   114.9018     .007   -.148    -.526  -3.476     77.3190     77.3190      1.7004    115.0258
 -.6E-07 RCVR   5   -1.0000    1.9806   114.9018     .007   -.148    -.526  -3.476     77.3190     77.3190      1.7004    115.0258
 -.2E-07 PERIGEE    -2.0665     .9238   138.7830     .042   -.232   -1.072    .018     93.3190     93.3190      2.0538    138.9293
 -.2E-07 WAVE REV   -2.0665     .9238   138.7830     .042   -.232   -1.072    .018     93.3190     93.3190      2.0538    138.9293
 -.3E-07 BACK UP0    -.9810    2.0135   165.6749     .091   -.349    -.745   2.644    111.3190    111.3190      2.4516    165.8396
 -.3E-07 BACK UP1   -1.0000    1.9945   165.2653     .091   -.346    -.750   2.658    111.0445    111.0445      2.4455    165.4295
   7/ 1/1990   0h 4m                                                                                                      PAGE  16

 -.3E-07 RCVR   6   -1.0000    1.9945   165.2653     .091   -.346    -.750   2.658    111.0446    111.0445      2.4455    165.4295
 -.3E-07 APOGEE      -.6490    2.3465   176.1659     .116   -.403    -.684   -.067    118.3446    118.3446      2.6068    176.3358
 -.3E-07 WAVE REV    -.6490    2.3465   176.1659     .116   -.403    -.684   -.067    118.3446    118.3446      2.6068    176.3358
 -.3E-07 BACK UP0   -1.0286    1.9676   187.0517     .143   -.441    -.856  -2.835    125.6446    125.6446      2.7678    187.2282
 -.3E-07 BACK UP1   -1.0000    1.9962   186.4722     .142   -.439    -.845  -2.819    125.2553    125.2553      2.7592    186.6482
 -.3E-07 RCVR   7   -1.0000    1.9962   186.4722     .142   -.439    -.845  -2.819    125.2554    125.2553      2.7592    186.6482
 -.1E-07 PERIGEE    -1.6644    1.3327   205.2309     .188   -.458   -1.114    .087    137.8553    137.8553      3.0367    205.4174
 -.1E-07 WAVE REV   -1.6644    1.3327   205.2309     .188   -.458   -1.114    .087    137.8553    137.8553      3.0367    205.4174
 -.1E-07 MAX RANG   -1.5734    1.4239   210.5919     .200   -.455   -1.108   1.823    141.4554    141.4554      3.1159    210.7782

                                                                                            THIS RAY CALCULATION TOOK   22.020 SEC
 ELEVATION ANGLE OF TRANSMISSION =    6.0000 DEG
  .2E-15 XMTR        -.9808    2.0000      .0000                             6.000       .0000       .0000       .0000       .0000
  .6E-07 APOGEE      -.4612    2.5139     7.2720    -.016   -.016    4.055   -.170      4.9000      4.9000       .1078      7.2936
  .6E-07 WAVE REV    -.4612    2.5139     7.2720    -.016   -.016    4.055   -.170      4.9000      4.9000       .1078      7.2936
 -.3E-07 BACK UP0   -1.0022    1.9644    14.5418    -.016   -.017    -.150  -6.009      9.8000      9.8000       .2156     14.5861
 -.3E-07 BACK UP1   -1.0000    1.9667    14.5209    -.016   -.017    -.141  -6.008      9.7858      9.7858       .2153     14.5651
 -.3E-07 RCVR   1   -1.0000    1.9667    14.5209    -.016   -.017    -.141  -6.008      9.7858      9.7858       .2153     14.5651
 -.2E-07 PERIGEE    -2.0399     .8848    30.2627    -.013   -.016   -2.141    .056     20.3858     20.3858       .4486     30.3459
 -.2E-07 WAVE REV   -2.0399     .8848    30.2627    -.013   -.016   -2.141    .056     20.3858     20.3858       .4486     30.3459
 -.6E-07 BACK UP0    -.9808    1.7719    46.0028    -.012   -.018    -.207   5.989     30.9858     30.9858       .6819     46.1260
 -.6E-07 BACK UP1   -1.0000    1.7566    45.8199    -.012   -.018    -.230   5.996     30.8620     30.8620       .6792     45.9421
 -.6E-07 RCVR   2   -1.0000    1.7566    45.8199    -.012   -.018    -.230   5.996     30.8620     30.8620       .6792     45.9421
  .3E-07 APOGEE      -.4609    2.1032    53.2398    -.013   -.021     .320   -.089     35.8620     35.8620       .7892     53.3846
  .3E-07 WAVE REV    -.4609    2.1032    53.2398    -.013   -.021     .320   -.089     35.8620     35.8620       .7892     53.3846
 -.6E-07 BACK UP0   -1.0104    1.5212    60.6594    -.013   -.026    -.301  -5.986     40.8620     40.8620       .8992     60.8273
 -.6E-07 BACK UP1   -1.0000    1.5297    60.5599    -.013   -.025    -.291  -5.983     40.7946     40.7946       .8977     60.7272
 -.6E-07 RCVR   3   -1.0000    1.5297    60.5599    -.013   -.025    -.291  -5.983     40.7946     40.7946       .8977     60.7272
 -.5E-07 PERIGEE    -2.0686     .7995    76.9038    -.010   -.033   -1.156    .085     51.7946     51.7946      1.1399     77.1109
 -.5E-07 WAVE REV   -2.0686     .7995    76.9038    -.010   -.033   -1.156    .085     51.7946     51.7946      1.1399     77.1109
 -.7E-07 BACK UP0    -.9884    1.9650    93.5567    -.006   -.055    -.425   5.588     62.9946     62.9946      1.3867     93.8021
 -.7E-07 BACK UP1   -1.0000    1.9531    93.4380    -.006   -.055    -.432   5.593     62.9145     62.9145      1.3849     93.6828
 -.7E-07 RCVR   4   -1.0000    1.9531    93.4380    -.006   -.055    -.432   5.593     62.9145     62.9145      1.3849     93.6828
 -.5E-09 APOGEE      -.4648    2.5026   101.2476    -.003   -.078    -.163   -.072     68.1645     68.1645      1.5007    101.5133
 -.5E-09 WAVE REV    -.4648    2.5026   101.2476    -.003   -.078    -.163   -.072     68.1645     68.1645      1.5007    101.5133
 -.7E-07 BACK UP0   -1.0085    1.9678   109.1376     .001   -.108    -.505  -5.474     73.4645     73.4645      1.6176    109.4244
 -.7E-07 BACK UP1   -1.0000    1.9762   109.0494     .001   -.108    -.501  -5.472     73.4050     73.4050      1.6163    109.3358
 -.7E-07 RCVR   5   -1.0000    1.9762   109.0494     .001   -.108    -.501  -5.472     73.4050     73.4050      1.6163    109.3358
 -.6E-07 PERIGEE    -2.3504     .6375   130.5266     .024   -.156   -1.188    .209     87.8050     87.8050      1.9345    130.8598
 -.6E-07 WAVE REV   -2.3504     .6375   130.5266     .024   -.156   -1.188    .209     87.8050     87.8050      1.9345    130.8598
 -.2E-07 BACK UP0    -.9874    2.0055   153.2275     .053   -.244    -.692   4.295    103.0050    103.0050      2.2707    153.6014
 -.2E-07 BACK UP1   -1.0000    1.9929   153.0603     .052   -.242    -.696   4.301    102.8929    102.8929      2.2682    153.4338
 -.2E-07 RCVR   6   -1.0000    1.9929   153.0603     .052   -.242    -.696   4.301    102.8929    102.8929      2.2682    153.4338
  .2E-07 APOGEE      -.5077    2.4864   162.1001     .069   -.302    -.562   -.053    108.9429    108.9429      2.4021    162.4884
  .2E-07 WAVE REV    -.5077    2.4864   162.1001     .069   -.302    -.562   -.053    108.9429    108.9429      2.4021    162.4884
 -.2E-08 BACK UP0   -1.0209    1.9742   171.2073     .088   -.353    -.783  -4.411    115.0429    115.0429      2.5369    171.6114
 -.2E-08 BACK UP1   -1.0000    1.9950   170.9365     .087   -.352    -.775  -4.402    114.8611    114.8611      2.5329    171.3399
 -.2E-08 RCVR   7   -1.0000    1.9950   170.9365     .087   -.352    -.775  -4.402    114.8611    114.8611      2.5329    171.3399
 -.2E-07 PERIGEE    -2.1120     .8844   191.2150     .132   -.390   -1.199    .188    128.4611    128.4611      2.8332    191.6505
 -.2E-07 WAVE REV   -2.1120     .8844   191.2150     .132   -.390   -1.199    .188    128.4611    128.4611      2.8332    191.6505
 -.5E-07 BACK UP0    -.9722    2.0251   209.0670     .168   -.388    -.938   5.525    140.4611    140.4611      3.0977    209.5425
 -.5E-07 BACK UP1   -1.0000    1.9972   208.7795     .168   -.388    -.944   5.537    140.2669    140.2669      3.0934    209.2537
 -.5E-07 RCVR   8   -1.0000    1.9972   208.7795     .168   -.388    -.944   5.537    140.2669    140.2669      3.0934    209.2537
 -.5E-07 MAX RANG    -.8578    2.1395   210.2600     .171   -.389    -.912   5.404    141.2669    141.2669      3.1154    210.7408

                                                                                            THIS RAY CALCULATION TOOK   25.870 SEC

N01-2     Sample Case for PC-HARPO Documentation, Rev.  6-20-90                                       7/ 1/1990   0h 4m   PAGE  17

 AZIMUTH ANGLE OF TRANSMISSION   =   80.000000 DEG      TRANSMITTER  LATITUDE  =     .000000 DEG    FREQUENCY =        400.000000 HZ
 ELEVATION ANGLE OF TRANSMISSION =    8.000000 DEG      TRANSMITTER  LONGITUDE =     .000000 DEG    SINGLE STEP ERROR = 1.000000E-06

                        ELEVATION                    AZIMUTH          ELEVATION
                   ABOVE      ABOVE                 DEVIATION          ANGLE
  ERROR   EVENT    SEA LEVEL  TERRAIN     RANGE    XMTR   LOCAL     XMTR   LOCAL     PULSE TIME  PHASE TIME  ABSORPTION PATH LENGTH
                     KM        KM        KM        DEG     DEG      DEG     DEG        SEC         SEC         DB          KM  
 -.1E-15 XMTR        -.9808    2.0000      .0000                             8.000       .0000       .0000       .0000       .0000
  .1E-07 APOGEE      -.3379    2.6378     6.6740    -.015   -.015    5.473   -.090      4.5000      4.5000       .0992      6.7104
  .1E-07 WAVE REV    -.3379    2.6378     6.6740    -.015   -.015    5.473   -.090      4.5000      4.5000       .0992      6.7104
  .3E-07 BACK UP0   -1.0227    1.9453    13.5670    -.015   -.016    -.238  -8.010      9.1500      9.1500       .2017     13.6428
  .3E-07 BACK UP1   -1.0000    1.9682    13.4059    -.015   -.016    -.142  -8.006      9.0405      9.0405       .1993     13.4802
  .3E-07 RCVR   1   -1.0000    1.9682    13.4059    -.015   -.016    -.142  -8.006      9.0405      9.0405       .1993     13.4802
  .8E-07 PERIGEE    -2.4608     .4591    31.2440    -.010   -.013   -2.853    .258     21.0405     21.0405       .4641     31.3913
  .8E-07 WAVE REV   -2.4608     .4591    31.2440    -.010   -.013   -2.853    .258     21.0405     21.0405       .4641     31.3913
 -.6E-07 BACK UP0    -.9643    1.7293    48.4777    -.009   -.014    -.199   7.977     32.6405     32.6405       .7199     48.7006
 -.6E-07 BACK UP1   -1.0000    1.7001    48.2230    -.009   -.014    -.240   7.989     32.4673     32.4673       .7161     48.4435
 -.6E-07 RCVR   2   -1.0000    1.7001    48.2230    -.009   -.014    -.240   7.989     32.4673     32.4673       .7161     48.4435
 -.5E-07 APOGEE      -.3378    2.1865    55.0449    -.010   -.018     .422   -.087     37.0673     37.0673       .8175     55.3032
 -.5E-07 WAVE REV    -.3378    2.1865    55.0449    -.010   -.018     .422   -.087     37.0673     37.0673       .8175     55.3032
 -.3E-07 BACK UP0   -1.0406    1.5239    62.0868    -.010   -.022    -.334  -7.980     41.8173     41.8173       .9222     62.3855
 -.3E-07 BACK UP1   -1.0000    1.5573    61.7971    -.010   -.022    -.296  -7.975     41.6204     41.6204       .9179     62.0931
 -.3E-07 RCVR   3   -1.0000    1.5573    61.7971    -.010   -.022    -.296  -7.975     41.6204     41.6204       .9179     62.0931
  .2E-07 PERIGEE    -2.4981     .3966    79.9390    -.007   -.026   -1.447    .143     53.8204     53.8204      1.1872     80.3095
  .2E-07 WAVE REV   -2.4981     .3966    79.9390    -.007   -.026   -1.447    .143     53.8204     53.8204      1.1872     80.3095
 -.7E-07 BACK UP0    -.9972    1.9653    98.0930    -.004   -.048    -.451   7.434     66.0204     66.0204      1.4566     98.5349
 -.7E-07 BACK UP1   -1.0000    1.9625    98.0715    -.004   -.048    -.452   7.435     66.0059     66.0059      1.4563     98.5132
 -.7E-07 RCVR   4   -1.0000    1.9625    98.0715    -.004   -.048    -.452   7.435     66.0059     66.0059      1.4563     98.5132
 -.6E-07 APOGEE      -.3456    2.6267   105.2099    -.002   -.072    -.127   -.050     70.8059     70.8059      1.5624    105.6865
 -.6E-07 WAVE REV    -.3456    2.6267   105.2099    -.002   -.072    -.127   -.050     70.8059     70.8059      1.5624    105.6865
 -.5E-07 BACK UP0   -1.0370    1.9420   112.6498     .002   -.103    -.535  -7.319     75.8059     75.8059      1.6729    113.1631
 -.5E-07 BACK UP1   -1.0000    1.9788   112.3615     .002   -.102    -.515  -7.311     75.6110     75.6110      1.6686    112.8725
 -.5E-07 RCVR   5   -1.0000    1.9788   112.3615     .002   -.102    -.515  -7.311     75.6110     75.6110      1.6686    112.8726
 -.4E-08 PERIGEE    -2.7759     .2131   134.1448     .024   -.134   -1.370    .298     90.2110     90.2110      1.9919    134.7405
 -.4E-08 WAVE REV   -2.7759     .2131   134.1448     .024   -.134   -1.370    .298     90.2110     90.2110      1.9919    134.7405
 -.3E-07 BACK UP0    -.9740    2.0193   155.9419     .045   -.194    -.699   6.426    104.8110    104.8110      2.3153    156.6181
 -.3E-07 BACK UP1   -1.0000    1.9933   155.7112     .045   -.192    -.707   6.434    104.6557    104.6557      2.3118    156.3860
 -.3E-07 RCVR   6   -1.0000    1.9933   155.7112     .045   -.192    -.707   6.434    104.6557    104.6557      2.3118    156.3860
 -.3E-07 APOGEE      -.3717    2.6225   163.4742     .056   -.242    -.522   -.149    109.8557    109.8557      2.4270    164.1784
 -.3E-07 WAVE REV    -.3717    2.6225   163.4742     .056   -.242    -.522   -.149    109.8557    109.8557      2.4270    164.1784
 -.2E-07 BACK UP0   -1.0242    1.9708   171.2300     .069   -.284    -.785  -6.537    115.0557    115.0557      2.5422    171.9652
 -.2E-07 BACK UP1   -1.0000    1.9950   171.0190     .069   -.283    -.776  -6.530    114.9135    114.9135      2.5390    171.7528
 -.2E-07 RCVR   7   -1.0000    1.9950   171.0190     .069   -.283    -.776  -6.530    114.9135    114.9135      2.5390    171.7528
  .3E-08 PERIGEE    -2.5674     .4291   191.5992     .105   -.307   -1.336    .195    128.7135    128.7135      2.8443    192.4012
  .3E-08 WAVE REV   -2.5674     .4291   191.5992     .105   -.307   -1.336    .195    128.7135    128.7135      2.8443    192.4012
 -.1E-06 MAX RANG   -1.0281    1.9692   210.0554     .134   -.300    -.958   7.721    141.1135    141.1135      3.1182    210.9320

                                                                                            THIS RAY CALCULATION TOOK   29.660 SEC
 ELEVATION ANGLE OF TRANSMISSION =   10.0000 DEG
  .4E-16 XMTR        -.9808    2.0000      .0000                            10.000       .0000       .0000       .0000       .0000
  .3E-07 APOGEE      -.1048    2.8679     9.6483    -.012   -.013    5.145   -.028      6.4750      6.4750       .1435      9.7053
  .3E-07 WAVE REV    -.1048    2.8679     9.6483    -.012   -.013    5.145   -.028      6.4750      6.4750       .1435      9.7053
  .6E-07 BACK UP0   -1.0491    1.9088    19.6238    -.012   -.014    -.288 -10.009     13.1750     13.1750       .2919     19.7437
  .6E-07 BACK UP1   -1.0000    1.9585    19.3456    -.012   -.014    -.144 -10.005     12.9848     12.9848       .2877     19.4613
  .6E-07 RCVR   1   -1.0000    1.9585    19.3456    -.012   -.014    -.144 -10.005     12.9848     12.9848       .2877     19.4613
  .1E-06 BACK UP0   -2.9064    -.0099    35.0706    -.009   -.012   -3.301  -2.477     23.5848     23.5848       .5220     35.3099
  .1E-06 BACK UP1   -2.8979     .0000    34.8791    -.009   -.012   -3.304  -2.591     23.4576     23.4576       .5192     35.1183
  .1E-06 BOTM REF   -2.8979     .0000    34.8791    -.009    .232   -3.304   3.400     23.4576     23.4576       .5192     35.1183
 -.2E-07 BACK UP0    -.9966    1.6818    49.3975    -.080    .159    -.241  10.223     33.2576     33.2576       .7357     49.7665
 -.2E-07 BACK UP1   -1.0000    1.6789    49.3788    -.080    .159    -.244  10.224     33.2447     33.2447       .7354     49.7475
 -.2E-07 RCVR   2   -1.0000    1.6789    49.3788    -.080    .159    -.244  10.224     33.2447     33.2447       .7354     49.7475
  .2E-07 APOGEE      -.0756    2.4244    58.2324    -.106    .129     .629   -.035     39.1947     39.1947       .8672     58.6633
  .2E-07 WAVE REV    -.0756    2.4244    58.2324    -.106    .129     .629   -.035     39.1947     39.1947       .8672     58.6633
  .4E-07 BACK UP0   -1.0048    1.6764    67.1054    -.126    .105    -.322 -10.189     45.1572     45.1572       .9993     67.5986
  .4E-07 BACK UP1   -1.0000    1.6805    67.0788    -.126    .105    -.318 -10.188     45.1390     45.1391       .9989     67.5716
  .4E-07 RCVR   3   -1.0000    1.6805    67.0788    -.126    .105    -.318 -10.188     45.1390     45.1391       .9989     67.5716
  .1E-06 BACK UP0   -2.9053    -.0089    81.2985    -.145    .079   -1.722  -3.774     54.7390     54.7391      1.2111     81.9228
  .1E-06 BACK UP1   -2.8954     .0000    81.1497    -.145    .079   -1.717  -3.861     54.6401     54.6401      1.2089     81.7738
  .1E-06 BOTM REF   -2.8954     .0000    81.1497    -.145   -.210   -1.717   3.021     54.6401     54.6401      1.2089     81.7738
 -.7E-07 BACK UP0    -.9843    1.9734    96.5829    -.113   -.197    -.436   9.501     65.0401     65.0401      1.4388     97.3300
 -.7E-07 BACK UP1   -1.0000    1.9576    96.4893    -.113   -.197    -.445   9.505     64.9763     64.9763      1.4374     97.2352
 -.7E-07 RCVR   4   -1.0000    1.9576    96.4893    -.113   -.197    -.445   9.505     64.9763     64.9763      1.4374     97.2352
 -.3E-07 APOGEE      -.0990    2.8741   106.9837    -.094   -.208    -.009   -.028     72.0013     72.0013      1.5934    107.7855
 -.3E-07 WAVE REV    -.0990    2.8741   106.9837    -.094   -.208    -.009   -.028     72.0013     72.0013      1.5934    107.7855
   7/ 1/1990   0h 4m                                                                                                      PAGE  18

 -.7E-08 BACK UP0   -1.0446    1.9373   117.8969    -.075   -.235    -.561  -9.220     79.3013     79.3013      1.7556    118.7567
 -.7E-08 BACK UP1   -1.0000    1.9817   117.6220    -.076   -.234    -.538  -9.212     79.1147     79.1147      1.7515    118.4782
 -.7E-08 RCVR   5   -1.0000    1.9817   117.6220    -.076   -.234    -.538  -9.212     79.1147     79.1147      1.7515    118.4782
  .9E-07 BACK UP0   -3.0313    -.0430   132.7664    -.047   -.248   -1.482  -4.276     89.3147     89.3147      1.9774    133.7591
  .9E-07 BACK UP1   -2.9882     .0000   132.2094    -.048   -.249   -1.465  -4.591     88.9443     88.9443      1.9691    133.2007
  .9E-07 BOTM REF   -2.9882     .0000   132.2094    -.048   -.265   -1.465   4.554     88.9443     88.9443      1.9691    133.2007
  .2E-07 BACK UP0    -.9627    2.0292   147.3613    -.019   -.297    -.656   8.687     99.1443     99.1443      2.1951    148.4868
  .2E-07 BACK UP1   -1.0000    1.9918   147.1174    -.019   -.295    -.669   8.695     98.9793     98.9793      2.1914    148.2400
  .2E-07 RCVR   6   -1.0000    1.9918   147.1174    -.019   -.295    -.669   8.695     98.9793     98.9793      2.1914    148.2400
  .4E-07 APOGEE      -.0959    2.8977   158.6998     .005   -.344    -.394   -.027    106.7043    106.7043      2.3634    159.8741
  .4E-07 WAVE REV    -.0959    2.8977   158.6998     .005   -.344    -.394   -.027    106.7043    106.7043      2.3634    159.8741
  .6E-07 BACK UP0   -1.0199    1.9750   170.1974     .031   -.384    -.779  -8.869    114.3793    114.3793      2.5342    171.4256
  .6E-07 BACK UP1   -1.0000    1.9949   170.0700     .031   -.383    -.771  -8.865    114.2929    114.2929      2.5323    171.2967
  .6E-07 RCVR   7   -1.0000    1.9949   170.0700     .031   -.383    -.771  -8.865    114.2929    114.2929      2.5323    171.2967
  .1E-06 BACK UP0   -2.9966    -.0005   186.1234     .068   -.392   -1.458  -3.356    125.0929    125.0929      2.7715    187.4766
  .1E-06 BACK UP1   -2.9961     .0000   186.1151     .068   -.392   -1.458  -3.361    125.0875    125.0875      2.7713    187.4683
  .1E-06 BOTM REF   -2.9961     .0000   186.1151     .068   -.394   -1.458   3.353    125.0875    125.0875      2.7713    187.4683
 -.9E-07 BACK UP0    -.9762    2.0208   201.8456     .100   -.384    -.906   9.686    135.6875    135.6875      3.0059    203.3329
 -.9E-07 BACK UP1   -1.0000    1.9969   201.7061     .100   -.384    -.913   9.692    135.5923    135.5923      3.0038    203.1913
 -.9E-07 RCVR   8   -1.0000    1.9969   201.7061     .100   -.384    -.913   9.692    135.5923    135.5923      3.0038    203.1913
 -.6E-07 MAX RANG    -.1257    2.8715   210.0424     .117   -.384    -.711   1.425    141.1923    141.1923      3.1278    211.5846

                                                                                            THIS RAY CALCULATION TOOK   45.970 SEC
 ELEVATION ANGLE OF TRANSMISSION =   12.0000 DEG
 -.7E-16 XMTR        -.9808    2.0000      .0000                            12.000       .0000       .0000       .0000       .0000
  .1E-06 APOGEE      -.0412    2.9353     5.7848    -.013   -.013    9.200   -.152      3.9188      3.9188       .0867      5.8661
  .1E-06 WAVE REV    -.0412    2.9353     5.7848    -.013   -.013    9.200   -.152      3.9188      3.9188       .0867      5.8661
  .5E-07 BACK UP0   -1.0051    1.9653    11.6687    -.013   -.014    -.172 -12.005      7.9063      7.9063       .1749     11.8339
  .5E-07 BACK UP1   -1.0000    1.9705    11.6447    -.013   -.014    -.147 -12.004      7.8897      7.8897       .1746     11.8093
  .5E-07 RCVR   1   -1.0000    1.9705    11.6447    -.013   -.014    -.147 -12.004      7.8897      7.8897       .1746     11.8093
  .2E-06 BACK UP0   -2.9612    -.0106    22.8294    -.010   -.011   -5.062  -6.845     15.4897     15.4897       .3425     23.1658
  .2E-06 BACK UP1   -2.9508     .0000    22.7433    -.010   -.011   -5.054  -6.896     15.4322     15.4322       .3412     23.0790
  .2E-06 BOTM REF   -2.9508     .0000    22.7433    -.010    .193   -5.054   7.184     15.4322     15.4322       .3412     23.0790
 -.7E-07 BACK UP0    -.9946    1.9131    33.6244    -.075    .127    -.175  12.168     22.8322     22.8322       .5046     34.1354
 -.7E-07 BACK UP1   -1.0000    1.9079    33.5994    -.075    .127    -.184  12.169     22.8150     22.8150       .5042     34.1099
 -.7E-07 RCVR   2   -1.0000    1.9079    33.5994    -.075    .127    -.184  12.169     22.8150     22.8150       .5042     34.1099
  .7E-07 APOGEE      -.0394    2.8222    39.3422    -.096    .105    1.194   -.089     26.7087     26.7088       .5904     39.9378
  .7E-07 WAVE REV    -.0394    2.8222    39.3422    -.096    .105    1.194   -.089     26.7087     26.7088       .5904     39.9378
  .6E-07 BACK UP0   -1.0486    1.7275    45.3025    -.112    .087    -.290 -12.169     30.7525     30.7525       .6798     45.9883
  .6E-07 BACK UP1   -1.0000    1.7803    45.0772    -.111    .088    -.227 -12.165     30.5973     30.5973       .6764     45.7579
  .6E-07 RCVR   3   -1.0000    1.7803    45.0772    -.111    .088    -.227 -12.165     30.5973     30.5973       .6764     45.7579
  .3E-06 BACK UP0   -2.5803    -.0016    53.2774    -.127    .071   -1.960  -8.780     36.1973     36.1973       .7999     54.1081
  .3E-06 BACK UP1   -2.5790     .0000    53.2686    -.127    .071   -1.959  -8.785     36.1914     36.1914       .7997     54.0993
  .3E-06 BOTM REF   -2.5790     .0000    53.2686    -.127   3.158   -1.959  11.314     36.1914     36.1914       .7997     54.0993
  .4E-06 BACK UP0    -.9955    1.5051    60.0872    -.487   2.796    -.284  14.059     40.8914     40.8914       .9033     61.1072
  .4E-06 BACK UP1   -1.0000    1.5006    60.0692    -.486   2.797    -.288  14.060     40.8789     40.8790       .9031     61.0887
  .4E-06 RCVR   4   -1.0000    1.5006    60.0692    -.486   2.797    -.288  14.060     40.8789     40.8790       .9031     61.0887
  .6E-06 APOGEE      -.0153    2.5149    65.0273    -.701   2.579     .558   -.032     44.2602     44.2602       .9780     66.1579
  .6E-06 WAVE REV    -.0153    2.5149    65.0273    -.701   2.579     .558   -.032     44.2602     44.2602       .9780     66.1579
  .5E-06 BACK UP0   -1.0314    1.5847    70.1034    -.890   2.388    -.357 -14.043     47.7227     47.7227      1.0547     71.3482
  .5E-06 BACK UP1   -1.0000    1.6137    69.9780    -.885   2.392    -.330 -14.041     47.6356     47.6357      1.0528     71.2189
  .5E-06 RCVR   5   -1.0000    1.6137    69.9780    -.885   2.392    -.330 -14.041     47.6356     47.6357      1.0528     71.2189
  .3E-06 BACK UP0   -2.7903    -.0398    77.8334   -1.128   2.145   -1.682 -10.807     53.0356     53.0357      1.1720     79.2807
  .3E-06 BACK UP1   -2.7472     .0000    77.6090   -1.122   2.151   -1.653 -10.938     52.8837     52.8837      1.1686     79.0521
  .3E-06 BOTM REF   -2.7472     .0000    77.6090   -1.122   -.362   -1.653   8.925     52.8837     52.8837      1.1686     79.0521
 -.3E-07 BACK UP0    -.9517    1.9216    86.6909   -1.085   -.335    -.371  12.417     59.0837     59.0837      1.3055     88.3091
 -.3E-07 BACK UP1   -1.0000    1.8714    86.4716   -1.086   -.335    -.402  12.427     58.9327     58.9327      1.3021     88.0845
 -.3E-07 RCVR   6   -1.0000    1.8714    86.4716   -1.086   -.335    -.402  12.427     58.9327     58.9327      1.3021     88.0845
  .2E-06 APOGEE      -.0340    2.8762    91.9411   -1.067   -.327     .177   -.165     62.6420     62.6421      1.3843     93.6435
  .2E-06 WAVE REV    -.0340    2.8762    91.9411   -1.067   -.327     .177   -.165     62.6420     62.6421      1.3843     93.6435
  .3E-08 BACK UP0   -1.0292    1.9058    97.5448   -1.050   -.323    -.467 -12.359     66.4420     66.4421      1.4685     99.3395
  .3E-08 BACK UP1   -1.0000    1.9346    97.4114   -1.050   -.323    -.449 -12.356     66.3503     66.3503      1.4665     99.2029
  .3E-08 RCVR   7   -1.0000    1.9346    97.4114   -1.050   -.323    -.449 -12.356     66.3503     66.3503      1.4665     99.2029
 -.5E-07 BACK UP0   -3.1293    -.1675   108.5873   -1.017   -.308   -1.622  -8.028     73.9503     73.9503      1.6347    110.5796
 -.5E-07 BACK UP1   -2.9598     .0000   107.4338   -1.020   -.311   -1.539  -8.693     73.1776     73.1776      1.6175    109.4142
 -.5E-07 BOTM REF   -2.9598     .0000   107.4338   -1.020   -.497   -1.539   8.489     73.1776     73.1776      1.6175    109.4142
 -.4E-06 BACK UP0    -.9391    2.0348   118.0199    -.976   -.483    -.511  11.815     80.3776     80.3776      1.7768    120.1904
 -.4E-06 BACK UP1   -1.0000    1.9735   117.7288    -.977   -.482    -.539  11.826     80.1784     80.1784      1.7724    119.8930
 -.4E-06 RCVR   8   -1.0000    1.9735   117.7288    -.977   -.482    -.539  11.826     80.1784     80.1784      1.7724    119.8930
 -.2E-06 APOGEE      -.0340    2.9443   123.3849    -.955   -.490    -.115   -.161     84.0003     84.0003      1.8573    125.6353
 -.2E-06 WAVE REV    -.0340    2.9443   123.3849    -.955   -.490    -.115   -.161     84.0003     84.0003      1.8573    125.6353
 -.3E-06 BACK UP0   -1.0001    1.9818   129.0489    -.934   -.502    -.589 -11.733     87.8253     87.8253      1.9423    131.3851
 -.3E-06 RCVR   9   -1.0000    1.9819   129.0482    -.934   -.502    -.589 -11.733     87.8248     87.8248      1.9422    131.3844
   7/ 1/1990   0h 4m                                                                                                      PAGE  19

 -.2E-06 BACK UP0   -3.0530    -.0663   139.6415    -.894   -.501   -1.478  -8.849     95.0248     95.0248      2.1017    142.1732
 -.2E-06 BACK UP1   -2.9865     .0000   139.2201    -.896   -.502   -1.452  -9.086     94.7420     94.7420      2.0954    141.7468
 -.2E-06 BOTM REF   -2.9865     .0000   139.2202    -.896   -.541   -1.452   9.044     94.7420     94.7420      2.0954    141.7468
 -.3E-06 BACK UP0    -.9906    1.9991   149.5198    -.858   -.546    -.676  11.541    101.7420    101.7420      2.2505    152.2364
 -.3E-06 BACK UP1   -1.0000    1.9896   149.4738    -.858   -.546    -.680  11.543    101.7106    101.7106      2.2498    152.1894
 -.3E-06 RCVR  10   -1.0000    1.9896   149.4738    -.858   -.546    -.680  11.543    101.7106    101.7106      2.2498    152.1894
 -.1E-06 APOGEE      -.0338    2.9571   155.2048    -.837   -.565    -.348   -.071    105.5762    105.5762      2.3358    158.0053
 -.1E-06 WAVE REV    -.0338    2.9571   155.2048    -.837   -.565    -.348   -.071    105.5762    105.5762      2.3358    158.0053
 -.1E-06 BACK UP0   -1.0355    1.9565   161.0943    -.815   -.583    -.744 -11.584    109.5512    109.5512      2.4242    163.9834
 -.1E-06 BACK UP1   -1.0000    1.9920   160.9212    -.816   -.582    -.731 -11.578    109.4330    109.4331      2.4215    163.8067
 -.1E-06 RCVR  11   -1.0000    1.9920   160.9212    -.816   -.582    -.731 -11.578    109.4330    109.4331      2.4215    163.8067
 -.8E-07 BACK UP0   -3.0227    -.0291   171.5190    -.777   -.583   -1.454  -8.655    116.6330    116.6331      2.5810    174.5945
 -.8E-07 BACK UP1   -2.9935     .0000   171.3287    -.778   -.584   -1.444  -8.763    116.5054    116.5054      2.5782    174.4020
 -.8E-07 BOTM REF   -2.9935     .0000   171.3287    -.778   -.596   -1.444   8.749    116.5054    116.5054      2.5782    174.4020
 -.4E-06 BACK UP0    -.9419    2.0527   181.9110    -.742   -.591    -.806  11.917    123.7054    123.7054      2.7375    185.1802
 -.4E-06 BACK UP1   -1.0000    1.9946   181.6361    -.743   -.591    -.823  11.929    123.5170    123.5170      2.7334    184.8993
 -.4E-06 RCVR  12   -1.0000    1.9946   181.6361    -.743   -.591    -.823  11.929    123.5170    123.5170      2.7334    184.8993
 -.2E-06 APOGEE      -.0350    2.9601   187.2827    -.724   -.596    -.553   -.091    127.3358    127.3358      2.8181    190.6324
 -.2E-06 WAVE REV    -.0350    2.9601   187.2827    -.724   -.596    -.553   -.091    127.3358    127.3358      2.8181    190.6324
 -.4E-06 BACK UP0   -1.0231    1.9725   193.0067    -.705   -.597    -.881 -12.033    131.2108    131.2108      2.9040    196.4457
 -.4E-06 BACK UP1   -1.0000    1.9956   192.8983    -.706   -.597    -.873 -12.030    131.1364    131.1364      2.9024    196.3350
 -.4E-06 RCVR  13   -1.0000    1.9956   192.8983    -.706   -.597    -.873 -12.030    131.1364    131.1364      2.9024    196.3350
 -.5E-06 BACK UP0   -3.0224    -.0261   203.7839    -.672   -.582   -1.491  -7.816    138.5364    138.5364      3.0661    207.4069
 -.5E-06 BACK UP1   -2.9962     .0000   203.5948    -.673   -.582   -1.483  -7.926    138.4099    138.4099      3.0633    207.2161
 -.5E-06 BOTM REF   -2.9962     .0000   203.5948    -.673   -.588   -1.483   7.919    138.4099    138.4099      3.0633    207.2161
 -.5E-06 MAX RANG   -1.8778    1.1187   210.0987    -.655   -.572   -1.190  11.474    142.8099    142.8099      3.1608    213.8144

                                                                                            THIS RAY CALCULATION TOOK   74.150 SEC
 ELEVATION ANGLE OF TRANSMISSION =   14.0000 DEG
 -.1E-15 XMTR        -.9808    2.0000      .0000                            14.000       .0000       .0000       .0000       .0000
  .1E-06 APOGEE      -.0187    2.9586     4.7902    -.013   -.013   11.335   -.054      3.2656      3.2656       .0723      4.8926
  .1E-06 WAVE REV    -.0187    2.9586     4.7902    -.013   -.013   11.335   -.054      3.2656      3.2656       .0723      4.8926
  .2E-07 BACK UP0   -1.0247    1.9479     9.7464    -.013   -.014    -.302 -14.006      6.6469      6.6469       .1472      9.9565
  .2E-07 BACK UP1   -1.0000    1.9727     9.6474    -.013   -.014    -.158 -14.003      6.5782      6.5782       .1457      9.8545
  .2E-07 RCVR   1   -1.0000    1.9727     9.6474    -.013   -.014    -.158 -14.003      6.5782      6.5782       .1457      9.8545
 -.1E-06 BACK UP0   -3.0369    -.0777    18.9927    -.010   -.011   -6.266  -9.710     12.9782     12.9782       .2871     19.4189
 -.1E-06 BACK UP1   -2.9600     .0000    18.5493    -.010   -.012   -6.176  -9.973     12.6798     12.6798       .2804     18.9691
 -.1E-06 BOTM REF   -2.9600     .0000    18.5493    -.010    .206   -6.176  10.186     12.6798     12.6798       .2804     18.9691
  .7E-07 BACK UP0    -.9700    1.9671    27.4412    -.080    .136    -.101  14.149     18.7798     18.7798       .4151     28.0804
  .7E-07 BACK UP1   -1.0000    1.9375    27.3220    -.079    .137    -.163  14.155     18.6970     18.6970       .4133     27.9576
  .7E-07 RCVR   2   -1.0000    1.9375    27.3220    -.079    .137    -.163  14.155     18.6970     18.6970       .4133     27.9576
  .2E-06 APOGEE      -.0128    2.9026    32.4041    -.103    .112    1.565   -.017     22.1564     22.1564       .4900     33.1460
  .2E-06 WAVE REV    -.0128    2.9026    32.4041    -.103    .112    1.565   -.017     22.1564     22.1564       .4900     33.1460
  .5E-07 BACK UP0   -1.0218    1.8580    37.5620    -.121    .094    -.232 -14.155     25.6689     25.6689       .5679     38.4130
  .5E-07 BACK UP1   -1.0000    1.8806    37.4756    -.120    .094    -.198 -14.153     25.6089     25.6089       .5665     38.3239
  .5E-07 RCVR   3   -1.0000    1.8806    37.4756    -.120    .094    -.198 -14.153     25.6089     25.6089       .5665     38.3239
 -.1E-06 BACK UP0   -2.8475    -.0754    45.6301    -.139    .074   -2.549 -10.561     31.2089     31.2089       .6901     46.6842
 -.1E-06 BACK UP1   -2.7790     .0000    45.2665    -.138    .075   -2.479 -10.776     30.9631     30.9631       .6847     46.3144
 -.1E-06 BOTM REF   -2.7790     .0000    45.2665    -.138   2.653   -2.479  12.635     30.9631     30.9631       .6847     46.3144
  .5E-07 BACK UP0    -.9883    1.6727    52.1966    -.493   2.298    -.243  15.586     35.7631     35.7631       .7906     53.4774
  .5E-07 BACK UP1   -1.0000    1.6618    52.1548    -.491   2.300    -.256  15.588     35.7338     35.7338       .7899     53.4340
  .5E-07 RCVR   4   -1.0000    1.6618    52.1548    -.491   2.300    -.256  15.588     35.7338     35.7338       .7899     53.4340
  .3E-06 BACK UP0     .0001    2.5789    56.2932    -.661   2.128     .745   6.516     38.5807     38.5807       .8529     57.6975
  .3E-06 SURF REF     .0000    2.5788    56.2926    -.661   2.128     .745  -6.517     38.5803     38.5803       .8529     57.6968
  .2E-06 BACK UP0   -1.0249    1.4888    60.5211    -.811   1.976    -.314 -15.583     41.4896     41.4896       .9173     62.0534
  .2E-06 BACK UP1   -1.0000    1.5146    60.4317    -.808   1.979    -.290 -15.580     41.4271     41.4271       .9160     61.9605
  .2E-06 RCVR   5   -1.0000    1.5146    60.4317    -.808   1.979    -.290 -15.580     41.4271     41.4271       .9160     61.9605
  .9E-07 BACK UP0   -2.5211    -.0041    66.1951    -.982   1.803   -1.631 -13.349     45.4271     45.4271      1.0041     67.9233
  .9E-07 BACK UP1   -2.5168     .0000    66.1771    -.981   1.803   -1.628 -13.359     45.4148     45.4148      1.0038     67.9048
  .9E-07 BOTM REF   -2.5168     .0000    66.1771    -.981   -.413   -1.628  11.913     45.4148     45.4148      1.0038     67.9048
  .3E-06 BACK UP0    -.9877    1.6794    72.5572    -.947   -.383    -.332  14.334     49.8148     49.8148      1.1008     74.4645
  .3E-06 BACK UP1   -1.0000    1.6659    72.5091    -.947   -.383    -.341  14.335     49.7813     49.7813      1.1001     74.4148
  .3E-06 RCVR   6   -1.0000    1.6659    72.5091    -.947   -.383    -.341  14.335     49.7813     49.7813      1.1001     74.4148
  .3E-06 BACK UP0     .0005    2.7753    77.3972    -.924   -.365     .378   2.609     53.1126     53.1126      1.1739     79.4122
  .3E-06 BACK UP1     .0000    2.7745    77.3854    -.924   -.365     .378   2.616     53.1049     53.1049      1.1738     79.4004
  .3E-06 SURF REF     .0000    2.7745    77.3854    -.924   -.365     .378  -2.616     53.1049     53.1049      1.1738     79.4004
  .3E-06 BACK UP0   -1.0133    1.8339    82.3193    -.903   -.351    -.393 -14.303     56.4674     56.4674      1.2483     84.4451
  .3E-06 BACK UP1   -1.0000    1.8466    82.2672    -.904   -.351    -.383 -14.302     56.4312     56.4312      1.2476     84.3913
  .3E-06 RCVR   7   -1.0000    1.8466    82.2672    -.904   -.351    -.383 -14.302     56.4312     56.4312      1.2476     84.3913
  .2E-06 BACK UP0   -3.0095    -.0939    91.0097    -.871   -.326   -1.687 -10.699     62.4312     62.4312      1.3802     93.3610
  .2E-06 BACK UP1   -2.9130     .0000    90.5056    -.872   -.328   -1.630 -10.993     62.0908     62.0908      1.3726     92.8480
  .2E-06 BOTM REF   -2.9130     .0000    90.5056    -.872  -1.030   -1.630  10.348     62.0907     62.0908      1.3726     92.8480
  .3E-06 BACK UP0    -.9750    1.9735    99.2631    -.783   -.955    -.443  13.618     68.0907     68.0908      1.5052    101.8174
   7/ 1/1990   0h 4m                                                                                                      PAGE  20

  .3E-06 BACK UP1   -1.0000    1.9482    99.1598    -.784   -.956    -.457  13.622     68.0193     68.0193      1.5036    101.7111
  .3E-06 RCVR   8   -1.0000    1.9482    99.1598    -.784   -.956    -.457  13.622     68.0193     68.0193      1.5036    101.7111
  .4E-06 APOGEE      -.0169    2.9429   104.1662    -.738   -.926     .062   -.051     71.4225     71.4225      1.5791    106.8209
  .4E-06 WAVE REV    -.0169    2.9429   104.1662    -.738   -.926     .062   -.051     71.4225     71.4225      1.5791    106.8209
  .3E-06 BACK UP0   -1.0149    1.9532   109.2339    -.696   -.904    -.509 -13.549     74.8662     74.8662      1.6556    111.9936
  .3E-06 BACK UP1   -1.0000    1.9680   109.1722    -.697   -.904    -.501 -13.547     74.8237     74.8237      1.6547    111.9302
  .3E-06 RCVR   9   -1.0000    1.9680   109.1722    -.697   -.904    -.501 -13.547     74.8237     74.8237      1.6547    111.9302
  .2E-06 BACK UP0   -3.0477    -.0699   118.3782    -.626   -.857   -1.533 -10.470     81.1237     81.1237      1.7941    121.3606
  .2E-06 BACK UP1   -2.9775     .0000   118.0022    -.629   -.859   -1.500 -10.685     80.8701     80.8701      1.7884    120.9783
  .2E-06 BOTM REF   -2.9775     .0000   118.0022    -.629   -.958   -1.500  10.589     80.8701     80.8701      1.7884    120.9783
  .4E-06 BACK UP0    -.9749    2.0086   127.0682    -.561   -.922    -.569  13.179     87.0701     87.0701      1.9257    130.2621
  .4E-06 BACK UP1   -1.0000    1.9835   126.9610    -.561   -.922    -.580  13.183     86.9964     86.9964      1.9240    130.1520
  .4E-06 RCVR  10   -1.0000    1.9835   126.9610    -.561   -.922    -.580  13.183     86.9964     86.9964      1.9240    130.1520
  .6E-06 APOGEE      -.0149    2.9711   132.1571    -.525   -.918    -.176   -.035     90.5151     90.5152      2.0023    135.4495
  .6E-06 WAVE REV    -.0149    2.9711   132.1571    -.525   -.918    -.176   -.035     90.5151     90.5152      2.0023    135.4495
  .4E-06 BACK UP0   -1.0311    1.9569   137.4822    -.489   -.918    -.639 -13.131     94.1214     94.1214      2.0826    140.8793
  .4E-06 BACK UP1   -1.0000    1.9879   137.3491    -.490   -.917    -.626 -13.126     94.0299     94.0299      2.0806    140.7425
  .4E-06 RCVR  11   -1.0000    1.9879   137.3491    -.490   -.917    -.626 -13.126     94.0299     94.0299      2.0806    140.7425
  .3E-06 BACK UP0   -3.0492    -.0587   146.5659    -.431   -.896   -1.468 -10.741    100.3299    100.3299      2.2202    150.1834
  .3E-06 BACK UP1   -2.9904     .0000   146.2585    -.433   -.898   -1.445 -10.913    100.1225    100.1225      2.2155    149.8706
  .3E-06 BOTM REF   -2.9904     .0000   146.2585    -.433   -.926   -1.445  10.886    100.1225    100.1225      2.2155    149.8706
  .4E-06 BACK UP0    -.9683    2.0240   155.3259    -.378   -.911    -.694  13.082    106.3225    106.3225      2.3529    159.1598
  .4E-06 BACK UP1   -1.0000    1.9922   155.1897    -.379   -.910    -.705  13.086    106.2289    106.2289      2.3508    159.0199
  .4E-06 RCVR  12   -1.0000    1.9922   155.1897    -.379   -.910    -.705  13.086    106.2289    106.2289      2.3508    159.0199
  .5E-06 APOGEE      -.0156    2.9775   160.3739    -.348   -.915    -.376   -.042    109.7383    109.7383      2.4289    164.3050
  .5E-06 WAVE REV    -.0156    2.9775   160.3739    -.348   -.915    -.376   -.042    109.7383    109.7383      2.4289    164.3050
  .4E-06 BACK UP0   -1.0315    1.9623   165.6690    -.318   -.919    -.763 -13.138    113.3258    113.3258      2.5087    169.7047
  .4E-06 BACK UP1   -1.0000    1.9938   165.5342    -.319   -.919    -.751 -13.134    113.2332    113.2332      2.5067    169.5663
  .4E-06 RCVR  13   -1.0000    1.9938   165.5342    -.319   -.919    -.751 -13.134    113.2332    113.2332      2.5067    169.5663
  .1E-06 BACK UP0   -3.0789    -.0841   175.0485    -.267   -.900   -1.474 -10.298    119.7332    119.7332      2.6506    179.3045
  .1E-06 BACK UP1   -2.9948     .0000   174.5912    -.269   -.903   -1.446 -10.560    119.4250    119.4250      2.6438    178.8397
  .1E-06 BOTM REF   -2.9948     .0000   174.5912    -.269   -.914   -1.446  10.549    119.4250    119.4250      2.6438    178.8397
  .3E-06 BACK UP0    -.9844    2.0111   183.6509    -.223   -.893    -.827  13.411    125.6250    125.6250      2.7810    188.1192
  .3E-06 BACK UP1   -1.0000    1.9956   183.5857    -.224   -.893    -.832  13.413    125.5800    125.5800      2.7800    188.0522
  .3E-06 RCVR  14   -1.0000    1.9956   183.5857    -.224   -.893    -.832  13.413    125.5800    125.5800      2.7800    188.0522
  .5E-06 APOGEE      -.0192    2.9767   188.5766    -.199   -.889    -.556   -.040    128.9706    128.9707      2.8553    193.1451
  .5E-06 WAVE REV    -.0192    2.9767   188.5766    -.199   -.889    -.556   -.040    128.9706    128.9707      2.8553    193.1451
  .3E-06 BACK UP0   -1.0073    1.9890   193.5774    -.175   -.882    -.878 -13.490    132.3706    132.3707      2.9307    198.2490
  .3E-06 BACK UP1   -1.0000    1.9963   193.5470    -.175   -.882    -.876 -13.489    132.3496    132.3497      2.9302    198.2177
  .3E-06 RCVR  15   -1.0000    1.9963   193.5470    -.175   -.882    -.876 -13.489    132.3496    132.3497      2.9302    198.2177
  .2E-06 BACK UP0   -2.9979    -.0011   202.7558    -.134   -.857   -1.482  -9.970    138.6496    138.6497      3.0695    207.6408
  .2E-06 BACK UP1   -2.9968     .0000   202.7494    -.134   -.857   -1.482  -9.974    138.6453    138.6453      3.0694    207.6343
  .2E-06 BOTM REF   -2.9968     .0000   202.7494    -.134   -.862   -1.482   9.968    138.6453    138.6453      3.0694    207.6343
  .4E-06 MAX RANG   -1.4448    1.5522   210.0720    -.104   -.837   -1.071  13.577    143.6453    143.6453      3.1801    215.1191

                                                                                            THIS RAY CALCULATION TOOK  102.770 SEC
 ELEVATION ANGLE OF TRANSMISSION =   16.0000 DEG
  .6E-16 XMTR        -.9808    2.0000      .0000                            16.000       .0000       .0000       .0000       .0000
  .1E-06 BACK UP0     .0012    2.9792     3.9245    -.013   -.013   14.031   7.414      2.7031      2.7031       .0598      4.0479
  .1E-06 SURF REF     .0000    2.9780     3.9152    -.013   -.014   14.047  -7.420      2.6970      2.6970       .0597      4.0386
 -.3E-07 BACK UP0   -1.0012    1.9733     7.9016    -.013   -.014    -.184 -16.003      5.4439      5.4439       .1205      8.1511
 -.3E-07 BACK UP1   -1.0000    1.9745     7.8975    -.013   -.014    -.175 -16.003      5.4410      5.4410       .1204      8.1469
 -.3E-07 RCVR   1   -1.0000    1.9745     7.8975    -.013   -.014    -.175 -16.003      5.4410      5.4410       .1204      8.1469
 -.3E-06 BACK UP0   -3.0667    -.1021    15.8535    -.010   -.011   -7.569 -12.367     10.9410     10.9410       .2419     16.3661
 -.3E-06 BACK UP1   -2.9653     .0000    15.3961    -.010   -.012   -7.416 -12.638     10.6304     10.6304       .2350     15.8979
 -.3E-06 BOTM REF   -2.9653     .0000    15.3961    -.010    .213   -7.416  12.811     10.6304     10.6304       .2350     15.8979
 -.4E-07 BACK UP0    -.9743    1.9765    22.9038    -.083    .140    -.087  16.135     15.8304     15.8304       .3498     23.6641
 -.4E-07 BACK UP1   -1.0000    1.9510    22.8151    -.083    .140    -.151  16.139     15.7682     15.7682       .3485     23.5718
 -.4E-07 RCVR   2   -1.0000    1.9510    22.8151    -.083    .140    -.151  16.139     15.7682     15.7682       .3485     23.5718
  .1E-06 BACK UP0     .0008    2.9405    26.7533    -.105    .117    1.981   7.710     18.4838     18.4838       .4086     27.6375
  .1E-06 SURF REF     .0000    2.9398    26.7475    -.105    .117    1.980  -7.714     18.4800     18.4800       .4085     27.6316
  .5E-07 BACK UP0   -1.0119    1.9123    30.7211    -.123    .099    -.196 -16.140     21.2206     21.2206       .4691     31.7344
  .5E-07 BACK UP1   -1.0000    1.9244    30.6799    -.122    .099    -.174 -16.138     21.1918     21.1918       .4685     31.6915
  .5E-07 RCVR   3   -1.0000    1.9244    30.6799    -.122    .099    -.174 -16.138     21.1918     21.1918       .4685     31.6915
 -.2E-06 BACK UP0   -2.9529    -.0766    38.0433    -.144    .077   -3.140 -12.847     26.2918     26.2918       .5811     39.3085
 -.2E-06 BACK UP1   -2.8791     .0000    37.7222    -.143    .078   -3.051 -13.037     26.0731     26.0731       .5762     38.9791
 -.2E-06 BOTM REF   -2.8791     .0000    37.7222    -.143   1.485   -3.051  13.972     26.0731     26.0731       .5762     38.9792
 -.3E-06 BACK UP0    -.9705    1.8400    44.4731    -.370   1.257    -.187  16.885     30.7731     30.7731       .6799     45.9955
 -.3E-06 BACK UP1   -1.0000    1.8118    44.3760    -.367   1.260    -.224  16.889     30.7047     30.7047       .6784     45.8940
 -.3E-06 RCVR   4   -1.0000    1.8118    44.3760    -.367   1.260    -.224  16.889     30.7047     30.7047       .6784     45.8940
 -.2E-06 BACK UP0     .0013    2.7560    48.0667    -.465   1.160     .954   9.224     33.2610     33.2610       .7350     49.7207
 -.2E-06 BACK UP1     .0000    2.7549    48.0587    -.465   1.161     .953   9.230     33.2556     33.2556       .7349     49.7125
 -.2E-06 SURF REF     .0000    2.7549    48.0587    -.465   1.161     .953  -9.230     33.2556     33.2556       .7349     49.7125
   7/ 1/1990   0h 4m                                                                                                      PAGE  21

 -.4E-06 BACK UP0   -1.0036    1.6768    51.7536    -.549   1.075    -.258 -16.887     35.8150     35.8150       .7915     53.5437
 -.4E-06 BACK UP1   -1.0000    1.6806    51.7418    -.549   1.075    -.254 -16.886     35.8066     35.8066       .7914     53.5313
 -.4E-06 RCVR   5   -1.0000    1.6806    51.7418    -.549   1.075    -.254 -16.886     35.8066     35.8066       .7914     53.5313
 -.3E-06 BACK UP0   -2.6086    -.0553    57.3303    -.655    .968   -1.885 -14.626     39.7066     39.7066       .8773     59.3466
 -.3E-06 BACK UP1   -2.5573     .0000    57.1345    -.652    .971   -1.838 -14.741     39.5718     39.5718       .8743     59.1442
 -.3E-06 BOTM REF   -2.5573     .0000    57.1345    -.652   5.462   -1.838  16.468     39.5718     39.5718       .8743     59.1442
 -.5E-06 BACK UP0    -.9704    1.5474    62.0851   -1.090   5.022    -.270  18.379     43.0718     43.0718       .9515     64.3618
 -.5E-06 BACK UP1   -1.0000    1.5183    61.9964   -1.083   5.030    -.297  18.383     43.0087     43.0087       .9501     64.2680
 -.5E-06 RCVR   6   -1.0000    1.5183    61.9964   -1.083   5.030    -.297  18.383     43.0087     43.0087       .9501     64.2680
 -.4E-06 BACK UP0     .0009    2.5044    65.2726   -1.337   4.774     .568  11.848     45.3055     45.3055      1.0009     67.7063
 -.4E-06 BACK UP1     .0000    2.5035    65.2683   -1.337   4.774     .567  11.851     45.3027     45.3027      1.0008     67.7019
 -.4E-06 SURF REF     .0000    2.5035    65.2683   -1.337   4.774     .567 -11.851     45.3027     45.3027      1.0008     67.7019
 -.9E-06 BACK UP0   -1.0466    1.4539    68.6820   -1.576   4.533    -.364 -18.378     47.6964     47.6964      1.0538     71.2844
 -.9E-06 BACK UP1   -1.0000    1.5003    68.5421   -1.566   4.543    -.324 -18.376     47.5969     47.5969      1.0516     71.1365
 -.9E-06 RCVR   7   -1.0000    1.5003    68.5421   -1.566   4.543    -.324 -18.376     47.5969     47.5969      1.0516     71.1365
 -.7E-06 BACK UP0   -2.5438    -.0265    73.3576   -1.866   4.240   -1.551 -16.557     50.9969     50.9969      1.1265     76.2059
 -.7E-06 BOTM REF   -2.5168     .0000    73.2669   -1.861   1.370   -1.531  15.683     50.9337     50.9337      1.1251     76.1111
 -.9E-06 BACK UP0    -.9569    1.6394    78.4024   -1.952   1.275    -.335  17.512     54.5337     54.5337      1.2045     81.4786
 -.9E-06 BACK UP1   -1.0000    1.5937    78.2658   -1.950   1.277    -.366  17.518     54.4373     54.4373      1.2024     81.3353
 -.9E-06 RCVR   8   -1.0000    1.5937    78.2658   -1.950   1.277    -.366  17.518     54.4373     54.4373      1.2024     81.3353
 -.8E-06 BACK UP0     .0015    2.6614    81.7602   -2.005   1.217     .321  10.574     56.8654     56.8654      1.2561     84.9725
 -.8E-06 BACK UP1     .0000    2.6597    81.7521   -2.005   1.217     .320  10.579     56.8600     56.8600      1.2560     84.9642
 -.8E-06 SURF REF     .0000    2.6597    81.7521   -2.005   1.217     .320 -10.579     56.8600     56.8600      1.2560     84.9642
 -.9E-06 BACK UP0   -1.0329    1.6899    85.3445   -2.057   1.160    -.419 -17.502     59.3569     59.3569      1.3113     88.7042
 -.9E-06 BACK UP1   -1.0000    1.7211    85.2403   -2.056   1.161    -.396 -17.499     59.2834     59.2834      1.3097     88.5949
 -.9E-06 RCVR   9   -1.0000    1.7211    85.2403   -2.056   1.161    -.396 -17.499     59.2834     59.2834      1.3097     88.5949
 -.8E-06 BACK UP0   -2.9199    -.1112    91.6847   -2.138   1.072   -1.624 -14.995     63.7834     63.7834      1.4091     95.3191
 -.8E-06 BACK UP1   -2.8039     .0000    91.2552   -2.133   1.077   -1.555 -15.243     63.4879     63.4879      1.4025     94.8744
 -.8E-06 BOTM REF   -2.8039     .0000    91.2552   -2.133  -1.725   -1.555  13.679     63.4879     63.4879      1.4025     94.8744
 -.6E-06 BACK UP0    -.9975    1.8842    97.8853   -2.017  -1.620    -.450  16.050     68.0879     68.0879      1.5041    101.7474
 -.6E-06 BACK UP1   -1.0000    1.8817    97.8766   -2.017  -1.620    -.451  16.051     68.0819     68.0819      1.5040    101.7384
 -.6E-06 RCVR  10   -1.0000    1.8817    97.8766   -2.017  -1.620    -.451  16.051     68.0819     68.0819      1.5040    101.7384
 -.5E-06 BACK UP0     .0006    2.9096   101.7693   -1.956  -1.571     .095   8.324     70.7632     70.7631      1.5635    105.7608
 -.5E-06 SURF REF     .0000    2.9090   101.7652   -1.956  -1.571     .095  -8.326     70.7605     70.7604      1.5634    105.7567
 -.6E-06 BACK UP0   -1.0092    1.9192   105.6910   -1.899  -1.527    -.491 -16.009     73.4636     73.4636      1.6234    109.8132
 -.6E-06 BACK UP1   -1.0000    1.9283   105.6589   -1.899  -1.527    -.486 -16.008     73.4412     73.4412      1.6229    109.7798
 -.6E-06 RCVR  11   -1.0000    1.9283   105.6589   -1.899  -1.527    -.486 -16.008     73.4412     73.4412      1.6229    109.7798
 -.9E-06 BACK UP0   -2.9664    -.0150   112.8754   -1.802  -1.447   -1.516 -13.645     78.4412     78.4412      1.7335    117.2602
 -.9E-06 BACK UP1   -2.9512     .0000   112.8133   -1.803  -1.447   -1.508 -13.681     78.3988     78.3987      1.7325    117.1962
 -.9E-06 BOTM REF   -2.9512     .0000   112.8133   -1.803  -1.841   -1.508  13.397     78.3987     78.3987      1.7325    117.1962
 -.7E-06 BACK UP0    -.9838    1.9819   120.1875   -1.690  -1.751    -.542  15.559     83.4987     83.4987      1.8454    124.8302
 -.7E-06 BACK UP1   -1.0000    1.9656   120.1295   -1.691  -1.752    -.549  15.561     83.4584     83.4584      1.8445    124.7699
 -.7E-06 RCVR  12   -1.0000    1.9656   120.1295   -1.691  -1.752    -.549  15.561     83.4584     83.4584      1.8445    124.7699
 -.6E-06 BACK UP0     .0005    2.9715   124.1227   -1.635  -1.718    -.105   8.084     86.1990     86.1990      1.9054    128.8899
 -.6E-06 SURF REF     .0000    2.9710   124.1192   -1.635  -1.718    -.105  -8.086     86.1967     86.1967      1.9053    128.8864
 -.9E-06 BACK UP0   -1.0362    1.9391   128.2447   -1.580  -1.688    -.602 -15.522     89.0280     89.0280      1.9683    133.1434
 -.9E-06 BACK UP1   -1.0000    1.9752   128.1144   -1.581  -1.688    -.585 -15.517     88.9375     88.9375      1.9663    133.0081
 -.9E-06 RCVR  13   -1.0000    1.9752   128.1144   -1.581  -1.688    -.585 -15.517     88.9375     88.9375      1.9663    133.0081
 -.1E-05 BACK UP0   -3.0907    -.1095   135.9303   -1.484  -1.619   -1.501 -13.415     94.3375     94.3375      2.0859    141.1001
 -.1E-05 BACK UP1   -2.9809     .0000   135.4745   -1.489  -1.624   -1.455 -13.672     94.0267     94.0266      2.0789    140.6313
 -.1E-05 BOTM REF   -2.9809     .0000   135.4746   -1.489  -1.724   -1.455  13.598     94.0267     94.0266      2.0789    140.6313
 -.8E-06 BACK UP0    -.9695    2.0156   143.0007   -1.398  -1.665    -.639  15.334     99.2267     99.2266      2.1941    148.4228
 -.8E-06 BACK UP1   -1.0000    1.9850   142.8894   -1.399  -1.666    -.650  15.337     99.1495     99.1495      2.1924    148.3074
 -.8E-06 RCVR  14   -1.0000    1.9850   142.8894   -1.399  -1.666    -.650  15.337     99.1495     99.1495      2.1924    148.3074
 -.7E-06 BACK UP0     .0002    2.9869   146.9174   -1.353  -1.648    -.278   8.081    101.9089    101.9089      2.2538    152.4609
 -.7E-06 SURF REF     .0000    2.9867   146.9161   -1.353  -1.648    -.278  -8.082    101.9081    101.9080      2.2538    152.4596
 -.9E-06 BACK UP0   -1.0288    1.9594   151.0478   -1.308  -1.632    -.698 -15.339    104.7393    104.7393      2.3168    156.7206
 -.9E-06 BACK UP1   -1.0000    1.9881   150.9431   -1.309  -1.632    -.686 -15.335    104.6667    104.6667      2.3152    156.6119
 -.9E-06 RCVR  15   -1.0000    1.9881   150.9431   -1.309  -1.632    -.686 -15.335    104.6667    104.6667      2.3152    156.6119
 -.1E-05 BACK UP0   -3.1140    -.1237   158.9115   -1.226  -1.581   -1.484 -13.297    110.1667    110.1667      2.4371    164.8571
 -.1E-05 BACK UP1   -2.9902     .0000   158.3933   -1.231  -1.586   -1.439 -13.590    109.8135    109.8135      2.4292    164.3244
 -.1E-05 BOTM REF   -2.9902     .0000   158.3933   -1.231  -1.623   -1.439  13.562    109.8135    109.8135      2.4292    164.3244
 -.9E-06 BACK UP0    -.9781    2.0137   165.9176   -1.156  -1.578    -.745  15.413    115.0135    115.0135      2.5444    172.1141
 -.9E-06 BACK UP1   -1.0000    1.9918   165.8384   -1.157  -1.578    -.752  15.416    114.9585    114.9585      2.5431    172.0318
 -.9E-06 RCVR  16   -1.0000    1.9918   165.8384   -1.157  -1.578    -.752  15.416    114.9585    114.9585      2.5431    172.0318
 -.8E-06 BACK UP0     .0002    2.9927   169.8679   -1.119  -1.565    -.433   7.923    117.7210    117.7209      2.6046    176.1867
 -.8E-06 SURF REF     .0000    2.9925   169.8664   -1.119  -1.565    -.433  -7.923    117.7200    117.7200      2.6045    176.1853
 -.9E-06 BACK UP0   -1.0312    1.9619   174.0019   -1.081  -1.550    -.799 -15.462    120.5575    120.5575      2.6676    180.4506
 -.9E-06 BACK UP1   -1.0000    1.9931   173.8890   -1.082  -1.551    -.788 -15.459    120.4791    120.4791      2.6659    180.3335
 -.9E-06 RCVR  17   -1.0000    1.9931   173.8890   -1.082  -1.551    -.788 -15.459    120.4791    120.4791      2.6659    180.3335
 -.1E-05 BACK UP0   -3.1262    -.1321   182.0027   -1.012  -1.504   -1.494 -12.885    126.0791    126.0791      2.7899    188.7222
 -.1E-05 BACK UP1   -2.9941     .0000   181.4326   -1.016  -1.508   -1.452 -13.213    125.6912    125.6911      2.7812    188.1371
 -.1E-05 BOTM REF   -2.9941     .0000   181.4326   -1.016  -1.525   -1.452  13.200    125.6912    125.6911      2.7812    188.1371
   7/ 1/1990   0h 4m                                                                                                      PAGE  22

 -.9E-06 BACK UP0    -.9976    1.9973   188.9519    -.955  -1.482    -.855  15.669    130.8912    130.8911      2.8962    195.9179
 -.9E-06 BACK UP1   -1.0000    1.9949   188.9434    -.955  -1.482    -.856  15.669    130.8852    130.8852      2.8961    195.9090
 -.9E-06 RCVR  18   -1.0000    1.9949   188.9434    -.955  -1.482    -.856  15.669    130.8852    130.8852      2.8961    195.9090
 -.8E-06 BACK UP0     .0006    2.9959   192.9591    -.923  -1.464    -.576   7.660    133.6446    133.6445      2.9573    200.0509
 -.8E-06 SURF REF     .0000    2.9953   192.9544    -.923  -1.464    -.577  -7.663    133.6416    133.6415      2.9573    200.0462
 -.8E-06 BACK UP0   -1.0351    1.9605   197.0843    -.892  -1.446    -.902 -15.718    136.4822    136.4821      3.0203    204.3072
 -.8E-06 BACK UP1   -1.0000    1.9956   196.9597    -.893  -1.446    -.891 -15.715    136.3953    136.3952      3.0184    204.1778
 -.8E-06 RCVR  19   -1.0000    1.9956   196.9597    -.893  -1.446    -.891 -15.715    136.3953    136.3952      3.0184    204.1778
 -.9E-06 BACK UP0   -3.0410    -.0449   204.7735    -.837  -1.402   -1.498 -12.696    141.7953    141.7952      3.1378    212.2548
 -.9E-06 BACK UP1   -2.9961     .0000   204.5749    -.838  -1.403   -1.485 -12.811    141.6603    141.6602      3.1347    212.0512
 -.9E-06 BOTM REF   -2.9961     .0000   204.5749    -.838  -1.412   -1.485  12.804    141.6603    141.6602      3.1347    212.0512
 -.7E-06 MAX RANG   -1.5880    1.4085   210.0885    -.801  -1.378   -1.110  15.626    145.4603    145.4602      3.2189    217.7421

                                                                                            THIS RAY CALCULATION TOOK  110.450 SEC
