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.