STS 2 and KH 11-3 Encounter

by Ted Molczan

Notes:

Only sunlit encounters are reported, and only for ranges of 500 km or less. The search for encounters was for the period starting at 0 h UTC of the day following launch, through the end of the mission. Flight day one was not considered because Columbia manoeuvred a fair bit, making the elements difficult to evaluate with confidence.

Encounters with Kh 11-4 could not be evaluated because elements were not available.

Vang is the angular velocity of the target from the vantage point of the observer.

PhA is the phase angle of the target, defined as the angle between the target, observer and the sun. The target is fully illuminated when phase angle is zero deg; and fully in shadow when phase angle is 180 deg.

ILL is the percent illumination of a sphere located at the position of the target.

mv is the target's estimated visual magnitude, the measure of brightness used in astronomy.

AZ and EL are the target's azimuth and elevation. Azimuth is measured clockwise from north. Elevation is relative the observer's local horizontal; negative values indicate that the target is below local horizontal.

The latitude reported for both objects is the geodetic latitude.

The altitude reported for both objects is relative to Earth's oblate shape.

Orbital elements are as issued by NASA/OIG, except that I corrected the drag terms of both. Their ndot/2 and ndotdot/6 terms were realistic, but B* was about 75 times too low, so I computed values consistent with the other terms.

These are the uncorrected versions of STS 2 and KH 11-3, respectively:

1 12953U 81111A   81318.30342203  .00423968  14650-7  76510-5 0    80
2 12953  38.0381 144.6935 0008065 268.8671  90.7568 16.05226326   271

1 11687U 80110A   81318.29009796  .00055939  00000-0  72610-5 0  7345
2 11687  96.8666  75.0840 0080419  76.8549 284.0250 15.60841942101240
To reduce the possibility that the corrected elements will be confused for the original versions, they have a dummy catalogue number (70000 and 70001), and their international designation is blank.

The meaning and format of the 2-line orbital elements is explained here.

Results:

Target object:
STS 2            0.0  0.0  0.0 0.0 v .000
1 70000U          81318.30342203  .00423968  00000-0  57335-3 0    06
2 70000  38.0381 144.6935 0008065 268.8671  90.7568 16.05226326   278

Observer object:
Kh 11-3         15.0  3.0  0.0  4.0 v .000
1 70001U          81318.29009796  .00055939  00000-0  57266-3 0    04
2 70001  96.8666  75.0840 0080419  76.8549 284.0250 15.60841942101245

Encounter date: 1981 Nov 14 UTC
                                                       Target               Observer
                                                --------------------  --------------------
  Time    Range  Vang   PhA ILL        AZ  EL    Lat     Lon    Alt    Lat     Lon    Alt
   UTC     km    deg/s  deg  %    mv   deg deg   deg     deg    km     deg     deg    km
-------- ------ ------  --- ---  ----  --- ---  ------ ------- -----  ------ ------- -----
13:42:42    492   0.53  140  12   0.9  215 -14  35.5 N   1.2 W   265  38.9 N   1.7 E   367
13:42:43    483   0.55  140  12   0.8  214 -14  35.4 N   1.2 W   265  38.8 N   1.6 E   367
13:42:44    474   0.57  140  12   0.8  214 -14  35.4 N   1.1 W   265  38.8 N   1.6 E   368
13:42:45    465   0.59  139  12   0.7  213 -14  35.4 N   1.0 W   265  38.7 N   1.6 E   368
13:42:46    457   0.61  139  12   0.6  213 -15  35.4 N   0.9 W   265  38.6 N   1.6 E   368
13:42:47    448   0.64  139  12   0.6  212 -15  35.4 N   0.9 W   265  38.6 N   1.6 E   368
13:42:48    439   0.66  138  13   0.5  211 -15  35.4 N   0.8 W   265  38.5 N   1.5 E   368
13:42:49    430   0.69  138  13   0.4  211 -15  35.3 N   0.7 W   265  38.4 N   1.5 E   368
13:42:50    422   0.72  138  13   0.4  210 -16  35.3 N   0.6 W   265  38.4 N   1.5 E   368
13:42:51    413   0.75  137  13   0.3  209 -16  35.3 N   0.6 W   265  38.3 N   1.5 E   368
13:42:52    404   0.78  137  13   0.2  209 -16  35.3 N   0.5 W   265  38.2 N   1.5 E   368
13:42:53    396   0.82  137  14   0.1  208 -17  35.3 N   0.4 W   265  38.2 N   1.5 E   368
13:42:54    388   0.85  136  14   0.1  207 -17  35.2 N   0.3 W   265  38.1 N   1.4 E   368
13:42:55    379   0.89  136  14  -0.0  206 -17  35.2 N   0.3 W   265  38.0 N   1.4 E   368
13:42:56    371   0.93  135  15  -0.1  205 -17  35.2 N   0.2 W   265  38.0 N   1.4 E   368
13:42:57    363   0.97  135  15  -0.2  205 -18  35.2 N   0.1 W   265  37.9 N   1.4 E   368
13:42:58    355   1.02  134  15  -0.3  204 -18  35.2 N   0.0 W   265  37.9 N   1.4 E   368
13:42:59    347   1.06  133  16  -0.4  203 -19  35.2 N   0.0 E   265  37.8 N   1.4 E   368
13:43:00    339   1.11  133  16  -0.5  201 -19  35.1 N   0.1 E   265  37.7 N   1.3 E   368
13:43:01    332   1.16  132  17  -0.5  200 -19  35.1 N   0.2 E   265  37.7 N   1.3 E   368
13:43:02    324   1.22  131  17  -0.6  199 -20  35.1 N   0.3 E   265  37.6 N   1.3 E   368
13:43:03    317   1.27  130  18  -0.7  198 -20  35.1 N   0.3 E   265  37.5 N   1.3 E   368
13:43:04    310   1.33  130  18  -0.8  197 -21  35.1 N   0.4 E   265  37.5 N   1.3 E   368
13:43:05    303   1.40  129  19  -1.0  195 -21  35.0 N   0.5 E   265  37.4 N   1.3 E   368
13:43:06    296   1.46  128  19  -1.1  194 -21  35.0 N   0.6 E   265  37.3 N   1.2 E   368
13:43:07    289   1.53  127  20  -1.2  192 -22  35.0 N   0.6 E   265  37.3 N   1.2 E   369
13:43:08    283   1.60  126  21  -1.3  191 -22  35.0 N   0.7 E   265  37.2 N   1.2 E   369
13:43:09    276   1.68  125  22  -1.4  189 -23  35.0 N   0.8 E   265  37.1 N   1.2 E   369
13:43:10    270   1.75  123  23  -1.5  187 -23  34.9 N   0.8 E   265  37.1 N   1.2 E   369
13:43:11    265   1.83  122  24  -1.6  185 -24  34.9 N   0.9 E   265  37.0 N   1.2 E   369
13:43:12    259   1.90  121  25  -1.7  184 -24  34.9 N   1.0 E   265  36.9 N   1.1 E   369
13:43:13    254   1.98  119  26  -1.9  181 -25  34.9 N   1.1 E   265  36.9 N   1.1 E   369
13:43:14    249   2.06  118  27  -2.0  179 -25  34.9 N   1.1 E   265  36.8 N   1.1 E   369
13:43:15    245   2.14  116  28  -2.1  177 -26  34.9 N   1.2 E   265  36.8 N   1.1 E   369
13:43:16    240   2.22  114  29  -2.2  175 -26  34.8 N   1.3 E   265  36.7 N   1.1 E   369
13:43:17    237   2.29  113  31  -2.3  172 -27  34.8 N   1.4 E   265  36.6 N   1.1 E   369
13:43:18    233   2.36  111  32  -2.4  170 -27  34.8 N   1.4 E   265  36.6 N   1.1 E   369
13:43:19    230   2.42  109  34  -2.5  167 -28  34.8 N   1.5 E   265  36.5 N   1.0 E   369
13:43:20    227   2.48  107  35  -2.6  164 -28  34.8 N   1.6 E   265  36.4 N   1.0 E   369
13:43:21    225   2.53  105  37  -2.7  162 -28  34.7 N   1.7 E   265  36.4 N   1.0 E   369
13:43:22    223   2.57  103  39  -2.8  159 -28  34.7 N   1.7 E   265  36.3 N   1.0 E   369
13:43:23    222   2.60  101  41  -2.9  156 -29  34.7 N   1.8 E   265  36.2 N   1.0 E   369
13:43:24    221   2.62   99  42  -3.0  153 -29  34.7 N   1.9 E   265  36.2 N   1.0 E   369
13:43:25    221   2.63   97  44  -3.1  150 -29  34.7 N   2.0 E   265  36.1 N   0.9 E   369
13:43:26    221   2.63   95  46  -3.1  147 -29  34.6 N   2.0 E   265  36.0 N   0.9 E   369
13:43:27    221   2.62   92  48  -3.2  144 -29  34.6 N   2.1 E   265  36.0 N   0.9 E   369
13:43:28    222   2.60   90  50  -3.3  141 -29  34.6 N   2.2 E   265  35.9 N   0.9 E   369
13:43:29    223   2.57   88  52  -3.3  138 -29  34.6 N   2.2 E   265  35.8 N   0.9 E   370
13:43:30    225   2.52   86  53  -3.3  135 -28  34.6 N   2.3 E   265  35.8 N   0.9 E   370
13:43:31    228   2.47   84  55  -3.4  132 -28  34.5 N   2.4 E   265  35.7 N   0.8 E   370
13:43:32    230   2.42   82  57  -3.4  130 -28  34.5 N   2.5 E   265  35.6 N   0.8 E   370
13:43:33    233   2.35   80  59  -3.4  127 -27  34.5 N   2.5 E   265  35.6 N   0.8 E   370
13:43:34    237   2.28   78  60  -3.4  124 -27  34.5 N   2.6 E   265  35.5 N   0.8 E   370
13:43:35    241   2.21   77  62  -3.5  122 -27  34.5 N   2.7 E   265  35.5 N   0.8 E   370
13:43:36    245   2.13   75  63  -3.5  120 -26  34.4 N   2.8 E   265  35.4 N   0.8 E   370
13:43:37    250   2.06   73  65  -3.5  117 -26  34.4 N   2.8 E   265  35.3 N   0.7 E   370
13:43:38    254   1.98   72  66  -3.4  115 -25  34.4 N   2.9 E   265  35.3 N   0.7 E   370
13:43:39    260   1.90   70  67  -3.4  113 -25  34.4 N   3.0 E   265  35.2 N   0.7 E   370
13:43:40    265   1.82   69  68  -3.4  111 -24  34.4 N   3.1 E   265  35.1 N   0.7 E   370
13:43:41    271   1.74   67  69  -3.4  109 -24  34.3 N   3.1 E   265  35.1 N   0.7 E   370
13:43:42    277   1.67   66  70  -3.4  107 -23  34.3 N   3.2 E   265  35.0 N   0.7 E   370
13:43:43    283   1.60   65  71  -3.4  106 -23  34.3 N   3.3 E   265  34.9 N   0.7 E   370
13:43:44    290   1.53   63  72  -3.3  104 -22  34.3 N   3.3 E   265  34.9 N   0.6 E   370
13:43:45    296   1.46   62  73  -3.3  103 -22  34.3 N   3.4 E   265  34.8 N   0.6 E   370
13:43:46    303   1.39   61  74  -3.3  101 -22  34.2 N   3.5 E   265  34.7 N   0.6 E   370
13:43:47    310   1.33   60  75  -3.2  100 -21  34.2 N   3.6 E   265  34.7 N   0.6 E   370
13:43:48    317   1.27   59  76  -3.2   99 -21  34.2 N   3.6 E   265  34.6 N   0.6 E   370
13:43:49    325   1.21   58  76  -3.2   97 -20  34.2 N   3.7 E   265  34.5 N   0.6 E   370
13:43:50    332   1.16   57  77  -3.1   96 -20  34.1 N   3.8 E   265  34.5 N   0.5 E   370
13:43:51    340   1.11   57  78  -3.1   95 -19  34.1 N   3.9 E   265  34.4 N   0.5 E   370
13:43:52    348   1.06   56  78  -3.1   94 -19  34.1 N   3.9 E   265  34.3 N   0.5 E   371
13:43:53    356   1.01   55  79  -3.0   93 -19  34.1 N   4.0 E   265  34.3 N   0.5 E   371
13:43:54    364   0.97   54  79  -3.0   92 -18  34.1 N   4.1 E   265  34.2 N   0.5 E   371
13:43:55    372   0.93   54  80  -3.0   91 -18  34.0 N   4.1 E   265  34.2 N   0.5 E   371
13:43:56    380   0.89   53  80  -2.9   90 -18  34.0 N   4.2 E   265  34.1 N   0.4 E   371
13:43:57    388   0.85   53  80  -2.9   89 -17  34.0 N   4.3 E   265  34.0 N   0.4 E   371
13:43:58    397   0.81   52  81  -2.8   89 -17  34.0 N   4.4 E   265  34.0 N   0.4 E   371
13:43:59    405   0.78   51  81  -2.8   88 -17  34.0 N   4.4 E   265  33.9 N   0.4 E   371
13:44:00    414   0.75   51  82  -2.8   87 -17  33.9 N   4.5 E   265  33.8 N   0.4 E   371
13:44:01    422   0.72   50  82  -2.7   86 -16  33.9 N   4.6 E   265  33.8 N   0.4 E   371
13:44:02    431   0.69   50  82  -2.7   86 -16  33.9 N   4.6 E   265  33.7 N   0.4 E   371
13:44:03    440   0.66   50  82  -2.7   85 -16  33.9 N   4.7 E   265  33.6 N   0.3 E   371
13:44:04    448   0.64   49  83  -2.6   85 -16  33.8 N   4.8 E   265  33.6 N   0.3 E   371
13:44:05    457   0.61   49  83  -2.6   84 -15  33.8 N   4.9 E   265  33.5 N   0.3 E   371
13:44:06    466   0.59   48  83  -2.5   83 -15  33.8 N   4.9 E   265  33.4 N   0.3 E   371
13:44:07    475   0.57   48  83  -2.5   83 -15  33.8 N   5.0 E   265  33.4 N   0.3 E   371
13:44:08    484   0.55   48  84  -2.5   82 -15  33.8 N   5.1 E   265  33.3 N   0.3 E   371
13:44:09    493   0.53   47  84  -2.4   82 -15  33.7 N   5.1 E   265  33.2 N   0.2 E   371