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Ephemeris Interpolation

Geometrian Jul 2nd, 2017 66 Never
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  1. THREE EPHEMERIDES FROM HORIZONS FOR THE PLANET MERCURY
  2.   Ephemeris at 2000-01-01T00:00:00.000 TDB(TAI):
  3.       a (au):         0.393637
  4.       e (none):       0.197010
  5.       i (°):          7.013140
  6.       Ω (°):          48.121040
  7.       ω (°):          25.956970
  8.       ϖ (°):          74.078010
  9.       τ (date/time):  1999-11-17T17:52:14.183 TDB(TAI)
  10.         (time since): 3823665.816690 s
  11.       T (days):       90.147069
  12.       M (°):          176.732767
  13.       n (°/day):      3.993474
  14.       λ (°):          250.810777
  15.   Ephemeris at 2000-02-01T00:00:00.000 TDB(TAI):
  16.       a (au):         0.371523
  17.       e (none):       0.209922
  18.       i (°):          7.027295
  19.       Ω (°):          48.503574
  20.       ω (°):          35.274481
  21.       ϖ (°):          83.778055
  22.       τ (date/time):  2000-02-16T05:00:53.051 TDB(TAI)
  23.         (time since): -1314053.051280 s
  24.       T (days):       82.658116
  25.       M (°):          293.760636
  26.       n (°/day):      4.355289
  27.       λ (°):          377.538691
  28.   Ephemeris at 2000-03-01T00:00:00.000 TDB(TAI):
  29.       a (au):         0.398776
  30.       e (none):       0.224138
  31.       i (°):          6.978935
  32.       Ω (°):          48.312916
  33.       ω (°):          31.146444
  34.       ϖ (°):          79.459360
  35.       τ (date/time):  2000-02-15T20:42:37.543 TDB(TAI)
  36.         (time since): 1221442.456612 s
  37.       T (days):       91.918093
  38.       M (°):          55.368246
  39.       n (°/day):      3.916530
  40.       λ (°):          134.827606
  41.  
  42. FIRST INTERPOLATED EPHEMERIS (INTERPOLATED FROM FIRST TWO HORIZON EPHEMERIDES)
  43.   Ephemeris at 2000-01-31T23:59:59.000 TDB(TAI):
  44.       a (au):         0.371523
  45.       e (none):       0.209922
  46.       i (°):          7.027295
  47.       Ω (°):          48.503574
  48.       ω (°):          35.274477
  49.       ϖ (°):          83.778051
  50.       τ (date/time):  1999-11-17T17:52:14.183 TDB(TAI)
  51.         (time since): 6502064.816690 s
  52.       T (days):       82.658119
  53.       M (°):          327.758931
  54.       n (°/day):      4.355289
  55.       λ (°):          411.536982
  56.  
  57. SECOND INTERPOLATED EPHEMERIS (INTERPOLATED FROM LAST TWO HORIZON EPHEMERIDES)
  58.   Ephemeris at 2000-02-01T00:00:01.000 TDB(TAI):
  59.       a (au):         0.371523
  60.       e (none):       0.209922
  61.       i (°):          7.027295
  62.       Ω (°):          48.503574
  63.       ω (°):          35.274479
  64.       ϖ (°):          83.778053
  65.       τ (date/time):  2000-02-16T05:00:53.051 TDB(TAI)
  66.         (time since): -1314052.051280 s
  67.       T (days):       82.658120
  68.       M (°):          293.760689
  69.       n (°/day):      4.355289
  70.       λ (°):          377.538742
  71.  
  72. PARAMETERS "ϖ", "τ since", "M", "n", AND "λ" ARE CALCULATED FROM OTHER PARAMETERS FOR ALL EPHEMERIDES
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