Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Uncertainties computed using MC runs with lower cost function value than the purely geometric solution

Reference JD: 2458400.516851851717
Time: 2018-10-09 00:24:15.999988 UTC


Plane intersections
-------------------
Intersection 1 - Stations: 1 and 2
 Convergence angle = 35.28867 deg
 R.A. = 266.42672  Dec = +56.26157 deg

Best intersection: Stations 1 and 2 with Qconv = 35.29 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2515985.14 +/- 6.16 m
 Y =  -3978845.29 +/- 47.58 m
 Z =   4437128.17 +/- 61.82 m
 Vx =    -1056.38 +/- 3.07 m/s
 Vy =   -12512.05 +/- 54.17 m/s
 Vz =    18484.65 +/- 104.18 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.792838e+01, +2.688060e+02, -3.452291e+02, +5.913389e+01, +3.226717e+02, -3.589074e+02
+2.688060e+02, +2.285719e+03, -2.961134e+03, +3.281973e+02, +2.354869e+03, -2.545200e+03
-3.452291e+02, -2.961134e+03, +3.866448e+03, -4.018677e+02, -2.836461e+03, +3.049132e+03
+5.913389e+01, +3.281973e+02, -4.018677e+02, +1.621806e+02, +7.903629e+02, -9.457238e+02
+3.226717e+02, +2.354869e+03, -2.836461e+03, +7.903629e+02, +5.657730e+03, -6.702866e+03
-3.589074e+02, -2.545200e+03, +3.049132e+03, -9.457238e+02, -6.702866e+03, +8.053538e+03

Timing offsets (from input data):
         1: 0.000000 s
         2: 0.005539 s

Reference point on the trajectory:
  Time: 2018-10-09 00:24:15.999988 UTC
  Lon     = -81.338624 +/- 0.0004 deg
  Lat     = +43.495059 +/- 0.0002 deg
  Lat geo = +43.305937 +/- 0.0002 deg
  Ht      =  101104.49 +/- 69.49 m

  JD dynamic   = 2458400.517652592622 
  LST apparent = 302.3068264480 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 265.17403 +/- 0.0371 deg
  Dec       = +55.81185 +/- 0.0354 deg
  Azimuth   = +310.69740 +/- 0.0822 deg
  Elevation = +63.42268 +/- 0.0184 deg
  Vavg      =  21.61588 +/- 0.0604 km/s
  Vinit     =  22.34613 +/- 0.1166 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 266.44358 +/- 0.0371 deg
  Dec       = +56.24717 +/- 0.0354 deg
  Azimuth   = +312.01426 +/- 0.0822 deg
  Elevation = +64.01663 +/- 0.0184 deg
  Vavg      =  21.50178 +/- 0.0604 km/s
  Vinit     =  22.23203 +/- 0.1166 km/s
Radiant (geocentric, J2000):
  R.A.   = 261.70909 +/- 0.0409 deg
  Dec    = +56.18535 +/- 0.0414 deg
  Vg     =  19.39384 +/- 0.1340 km/s
  Vinf   =  22.34613 +/- 0.1166 km/s
  Zc     =  26.70099 +/- 0.0183 deg
  Zg     =  28.62433 +/- 0.0266 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 245.33928 +/- 0.1540 deg
  Bg     = +78.91128 +/- 0.0367 deg
  Vh     =  37.86406 +/- 0.0948 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 282.07693 +/- 0.0294 deg
  Bh     = +30.17728 +/- 0.1426 deg
  Vh_x   =  -6.84845 +/- 0.0104 km/s
  Vh_y   =  32.00805 +/- 0.0370 km/s
  Vh_z   = -19.03340 +/- 0.1294 km/s
Orbit:
  La Sun = 195.412803 +/- 0.0000 deg
  a      =   2.592105 +/- 0.0579 AU
  e      =   0.615855 +/- 0.0081
  i      =  30.219552 +/- 0.1434 deg
  peri   = 172.432899 +/- 0.0278 deg
  node   = 195.413812 +/- 0.0000 deg
  Pi     =   7.846711 +/- 0.0278 deg
  q      =   0.995744 +/- 0.0000 AU
  f      =   7.564831 +/- 0.0278 deg
  M      =   1.420048 +/- 0.0495 deg
  Q      =   4.188467 +/- 0.1159 AU
  n      =   0.236170 +/- 0.0074 deg/day
  T      =   4.173300 +/- 0.1421 years
  Last perihelion JD = 2458394.504836 (2018-10-03 00:06:57.796607) +/- 0.0310 days
  Tj     =   2.968665 +/- 0.0413
Shower association:
  IAU No.  =    9
  IAU code =  DRA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.564938e-05, -1.379415e-07, +1.911215e-04, -1.568941e-09, +1.534166e-06, +2.021569e-05
q   , -1.379415e-07, +8.235938e-10, +7.162665e-08, +3.354561e-12, +7.274371e-09, -4.319177e-08
Tp  , +1.911215e-04, +7.162665e-08, +9.760733e-04, -4.515294e-09, +1.377565e-05, +5.820280e-05
node, -1.568941e-09, +3.354561e-12, -4.515294e-09, +3.783684e-14, -3.551006e-11, -4.874513e-10
peri, +1.534166e-06, +7.274371e-09, +1.377565e-05, -3.551006e-11, +2.423612e-07, +4.580977e-07
i   , +2.021569e-05, -4.319177e-08, +5.820280e-05, -4.874513e-10, +4.580977e-07, +6.280081e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000622
 a2 = 21.556959

Mean time residuals from time vs. length:
  Station with reference time: 1
  Avg. res. = 1.086e-05 s
  Stddev    = 3.30e-03 s

Begin point on the trajectory:
  Lon =   -81.338394 +/- 0.0003 deg
  Lat =    43.494915 +/- 0.0001 deg
  Ht  = 101054.49 +/- 58.29 m
End point on the trajectory:
  Lon =   -81.286802 +/- 0.0000 deg
  Lat =    43.461044 +/- 0.0000 deg
  Ht  = 89362.22 +/- 8.40 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End
         1,   False,   -80.772100,    43.264200,  330.00,   0.005997,  18.343677,   100997.56,    90511.58,          0.002337,      2.06,      3.88,               5.98, 1.0000,    None,    None
         2,   False,   -81.315700,    43.192800,  320.00,   0.000170,  24.260498,    96468.13,    89398.49,          0.002602,      3.26,      3.02,              18.07, 1.0000,    None,    None

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,          1,       0,  0.000000, 2458400.516851851717, 119.38100,  27.98000,              299.38100,  62.02000,       299.38025,       62.02130,    262.76404,     +50.61219,     262.76610,      +50.61185,  2515996.27, -3978773.58,  4437030.44,      43.494764,      -81.338043,  100997.56,  113742.35,       0.00,               15.22,    89.09,      0.00,           21896.48,      2.37,     -1.26,           4.86,   None,   None
  1,          1,       0,  0.031000, 2458400.516852210741, 119.30400,  27.99700,              299.30400,  62.00300,       299.30122,       62.00779,    262.73785,     +50.57588,     262.74554,      +50.57462,  2516032.19, -3978350.04,  4436405.77,      43.492815,      -81.335048,  100321.85,  112994.39,     755.57,              770.80,   147.31,  24373.38,           21896.48,      8.65,     -4.59,          17.87,   None,   None
  2,          1,       0,  0.062000, 2458400.516852569301, 119.24400,  28.00300,              299.24400,  61.99700,       299.24401,       61.99699,    262.72892,     +50.54764,     262.72915,      +50.54764,  2516057.16, -3978055.62,  4435971.54,      43.491460,      -81.333005,   99852.14,  112475.79,    1280.80,             1296.02,   -24.82,  16942.71,           21896.48,     -0.03,      0.01,           0.06,   None,   None
  3,          1,       0,  0.093000, 2458400.516852928326, 119.15900,  28.01900,              299.15900,  61.98100,       299.15817,       61.98241,    262.70456,     +50.50752,     262.70718,      +50.50715,  2516095.51, -3977603.38,  4435304.55,      43.489377,      -81.329797,   99130.67,  111676.95,    2087.56,             2102.78,    84.59,  26024.61,           21896.48,      2.53,     -1.34,           5.28,   None,   None
  4,          1,       0,  0.124000, 2458400.516853286885, 119.09100,  28.03000,              299.09100,  61.97000,       299.09091,       61.97016,    262.68800,     +50.47541,     262.68876,      +50.47537,  2516124.62, -3977260.15,  4434798.33,      43.487796,      -81.327393,   98583.10,  111071.73,    2699.86,             2715.08,    -0.46,  19751.60,           21715.19,      0.28,     -0.15,           0.59,   None,   None
  5,          1,       0,  0.155000, 2458400.516853645910, 119.03300,  28.04000,              299.03300,  61.96000,       299.03353,       61.95911,    262.67296,     +50.44800,     262.67220,      +50.44823,  2516148.82, -3976974.86,  4434377.58,      43.486482,      -81.325417,   98127.97,  110569.43,    3208.79,             3224.02,  -188.89,  16417.15,           20906.53,     -1.57,      0.83,           3.32,   None,   None
  6,          1,       0,  0.186000, 2458400.516854004469, 118.93800,  28.05900,              298.93800,  61.94100,       298.93690,       61.94283,    262.64433,     +50.40301,     262.64799,      +50.40253,  2516190.83, -3976479.47,  4433646.93,      43.484200,      -81.321889,   97337.67,  109694.09,    4092.55,             4107.77,    -2.48,  28508.28,           21432.20,      3.22,     -1.71,           6.85,   None,   None
  7,          1,       0,  0.217000, 2458400.516854363494, 118.86800,  28.06700,              298.86800,  61.93300,       298.86961,       61.93031,    262.63275,     +50.36994,     262.62942,      +50.37064,  2516218.92, -3976148.23,  4433158.40,      43.482673,      -81.319573,   96809.23,  109110.27,    4683.46,             4698.68,  -108.93,  19061.60,           21453.68,     -4.69,      2.49,          10.04,   None,   None
  8,          1,       0,  0.248000, 2458400.516854722053, 118.76300,  28.09000,              298.76300,  61.91000,       298.76162,       61.91227,    262.59828,     +50.32006,     262.60288,      +50.31946,  2516264.91, -3975605.90,  4432358.55,      43.480173,      -81.315698,   95944.11,  108151.74,    5650.92,             5666.15,   161.18,  31208.52,           22114.02,      3.93,     -2.09,           8.49,   None,   None
  9,          1,       0,  0.280000, 2458400.516855092254, 118.69200,  28.10300,              298.69200,  61.89700,       298.69080,       61.89897,    262.57908,     +50.28635,     262.58335,      +50.28582,  2516293.70, -3975266.44,  4431857.88,      43.478608,      -81.313324,   95402.57,  107553.54,    6256.51,             6271.73,    46.92,  18924.49,           22271.07,      3.39,     -1.80,           7.37,   None,   None
 10,          1,       0,  0.311000, 2458400.516855451278, 118.62000,  28.11600,              298.62000,  61.88400,       298.61904,       61.88557,    262.55998,     +50.25213,     262.56375,      +50.25171,  2516322.66, -3974924.99,  4431354.29,      43.477033,      -81.310932,   94857.86,  106951.71,    6865.63,             6880.85,   -41.32,  19649.12,           22237.00,      2.69,     -1.43,           5.88,   None,   None
 11,          1,       0,  0.342000, 2458400.516855809838, 118.52300,  28.13500,              298.52300,  61.86500,       298.52085,       61.86846,    262.53207,     +50.20594,     262.53895,      +50.20502,  2516362.67, -3974453.23,  4430658.51,      43.474857,      -81.307576,   94105.32,  106118.63,    7707.22,             7722.44,   102.92,  27147.96,           22405.98,      5.90,     -3.13,          12.99,   None,   None
 12,          1,       0,  0.373000, 2458400.516856168862, 118.45400,  28.14300,              298.45400,  61.85700,       298.45483,       61.85566,    262.52093,     +50.17320,     262.52038,      +50.17356,  2516388.43, -3974149.52,  4430210.59,      43.473456,      -81.305461,   93620.82,  105583.88,    8249.00,             8264.23,   -52.65,  17477.01,           22345.86,     -2.27,      1.20,           5.02,   None,   None
 13,          1,       0,  0.404000, 2458400.516856527422, 118.36500,  28.16100,              298.36500,  61.83900,       298.36473,       61.83944,    262.49468,     +50.13072,     262.49705,      +50.13061,  2516424.05, -3973729.52,  4429591.13,      43.471517,      -81.302487,   92950.83,  104842.75,    8998.27,             9013.49,    -0.74,  24169.95,           22360.06,      0.74,     -0.39,           1.64,   None,   None
 14,          1,       0,  0.435000, 2458400.516856886446, 118.28300,  28.17600,              298.28300,  61.82400,       298.28285,       61.82424,    262.47308,     +50.09159,     262.47527,      +50.09152,  2516455.77, -3973355.50,  4429039.51,      43.469791,      -81.299853,   92354.20,  104183.30,    9665.50,             9680.72,   -30.87,  21523.37,           22348.44,      0.40,     -0.21,           0.90,   None,   None
 15,          1,       0,  0.466000, 2458400.516857245006, 118.19300,  28.19100,              298.19300,  61.80900,       298.19369,       61.80791,    262.45179,     +50.04863,     262.45202,      +50.04893,  2516490.07, -3972950.95,  4428442.85,      43.467923,      -81.296992,   91708.88,  103469.72,   10387.19,            10402.41,    -6.53,  23280.28,           22361.14,     -1.82,      0.96,           4.10,   None,   None
 16,          1,       0,  0.497000, 2458400.516857604031, 118.11700,  28.20800,              298.11700,  61.79200,       298.11628,       61.79313,    262.42717,     +50.01218,     262.43101,      +50.01188,  2516519.17, -3972607.81,  4427936.78,      43.466338,      -81.294585,   91161.52,  102865.17,   10999.31,            11014.53,   -91.76,  19745.94,           22318.77,      1.86,     -0.99,           4.23,   None,   None
 17,          1,       0,  0.529000, 2458400.516857974231, 118.02100,  28.21900,              298.02100,  61.78100,       298.02419,       61.77602,    262.41249,     +49.96645,     262.40688,      +49.96778,  2516553.73, -3972200.37,  4427335.85,      43.464456,      -81.291706,   90511.58,  102146.68,   11726.17,            11741.39,   -84.75,  22714.43,           22296.11,     -8.19,      4.35,          18.74,   None,   None
  0,          2,       0,  0.222435, 2458400.516854335088, 179.67000,  18.73900,              359.67000,  71.26100,       359.67018,       71.26513,    302.10444,     +61.93133,     302.10554,      +61.92719,  2516237.06, -3975934.39,  4432843.02,      43.481688,      -81.317984,   96468.13,  101440.99,       0.00,             5080.15,   150.29,      0.00,           22151.94,      4.98,      5.37,          14.88,   None,   None
  1,          2,       0,  0.253435, 2458400.516854693647, 179.99900,  18.73400,              359.99900,  71.26600,       359.99884,       71.26330,    302.32907,     +61.92680,     302.32999,      +61.92950,  2516264.68, -3975608.68,  4432362.65,      43.480186,      -81.315708,   95948.53,  100894.33,     581.04,             5661.19,    33.97,  18743.14,           22151.94,     -3.24,     -3.49,           9.73,   None,   None
  2,          2,       0,  0.284435, 2458400.516855052672, 180.38600,  18.73600,                0.38600,  71.26400,         0.38572,       71.26042,    302.59323,     +61.92815,     302.59427,      +61.93173,  2516296.58, -3975232.49,  4431807.82,      43.478451,      -81.313059,   95348.41,  100263.38,    1252.13,             6332.28,     7.71,  21648.18,           22151.94,     -4.26,     -4.60,          12.90,   None,   None
  3,          2,       0,  0.315435, 2458400.516855411232, 180.86500,  18.74400,                0.86500,  71.25600,         0.86498,       71.25578,    302.92052,     +61.93355,     302.92180,      +61.93377,  2516335.24, -3974776.64,  4431135.50,      43.476349,      -81.309821,   94621.24,   99499.48,    2065.34,             7145.49,   123.56,  26232.43,           22151.94,     -0.26,     -0.28,           0.80,   None,   None
  4,          2,       0,  0.346435, 2458400.516855770256, 181.17200,  18.74700,                1.17200,  71.25300,         1.17189,       71.25212,    303.13031,     +61.93383,     303.13171,      +61.93471,  2516360.24, -3974481.88,  4430700.77,      43.474989,      -81.307773,   94151.00,   99005.85,    2591.18,             7671.33,   -47.95,  16962.65,           21505.34,     -1.04,     -1.12,           3.17,   None,   None
  5,          2,       0,  0.377435, 2458400.516856128816, 181.62200,  18.75300,                1.62200,  71.24700,         1.62184,       71.24590,    303.43801,     +61.93436,     303.43955,      +61.93546,  2516395.81, -3974062.49,  4430082.22,      43.473054,      -81.304804,   93481.99,   98304.10,    3339.34,             8419.49,     2.86,  24134.29,           21696.16,     -1.28,     -1.38,           3.95,   None,   None
  6,          2,       0,  0.408435, 2458400.516856487840, 182.06800,  18.76100,                2.06800,  71.23900,         2.06795,       71.23867,    303.74331,     +61.93520,     303.74498,      +61.93553,  2516430.63, -3973651.84,  4429476.57,      43.471159,      -81.301899,   92826.93,   97617.57,    4071.91,             9152.06,    38.07,  23631.37,           21971.65,     -0.38,     -0.41,           1.19,   None,   None
  7,          2,       0,  0.439435, 2458400.516856846400, 182.46600,  18.76800,                2.46600,  71.23200,         2.46587,       71.23131,    304.01583,     +61.93434,     304.01765,      +61.93503,  2516461.48, -3973288.08,  4428940.08,      43.469479,      -81.299340,   92246.67,   97009.93,    4720.83,             9800.98,   -10.37,  20932.67,           21999.86,     -0.80,     -0.86,           2.49,   None,   None
  8,          2,       0,  0.470435, 2458400.516857205424, 182.88600,  18.78100,                2.88600,  71.21900,         2.88675,       71.22261,    304.30440,     +61.93752,     304.30625,      +61.93391,  2516493.66, -3972908.67,  4428380.49,      43.467728,      -81.296665,   91641.43,   96376.65,    5397.68,            10477.83,   -30.87,  21834.07,           22001.97,      4.13,      4.46,          13.01,   None,   None
  9,          2,       0,  0.502435, 2458400.516857575625, 183.25700,  18.78500,                3.25700,  71.21500,         3.25681,       71.21415,    304.55814,     +61.93159,     304.56023,      +61.93244,  2516521.86, -3972576.14,  4427890.06,      43.466192,      -81.294340,   91110.98,   95822.02,    5990.89,            11071.04,  -157.51,  18537.65,           21807.42,     -0.97,     -1.05,           3.08,   None,   None
 10,          2,       0,  0.533435, 2458400.516857934650, 183.79400,  18.79400,                3.79400,  71.20600,         3.79264,       71.20065,    304.92584,     +61.92407,     304.92827,      +61.92943,  2516561.50, -3972108.70,  4427200.65,      43.464032,      -81.291014,   90365.37,   95043.24,    6824.77,            11904.92,   -20.98,  26899.48,           21933.44,     -6.05,     -6.53,          19.31,   None,   None
 11,          2,       0,  0.564435, 2458400.516858293209, 184.17900,  18.81100,                4.17900,  71.18900,         4.17925,       71.18992,    305.19187,     +61.92761,     305.19414,      +61.92668,  2516590.14, -3971770.99,  4426702.58,      43.462472,      -81.288646,   89826.67,   94481.04,    7427.21,            12507.36,  -115.89,  19433.59,           21909.91,      1.04,      1.12,           3.33,   None,   None
 12,          2,       0,  0.595435, 2458400.516858652234, 184.48600,  18.81700,                4.48600,  71.18300,         4.48537,       71.18082,    305.40228,     +61.92198,     305.40487,      +61.92416,  2516612.91, -3971502.59,  4426306.73,      43.461232,      -81.286791,   89398.49,   94034.45,    7906.02,            12986.17,  -334.44,  15445.44,           21683.16,     -2.44,     -2.63,           7.87,   None,   None

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.