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: 2458400.521365408786 Time: 2018-10-09 00:30:45.971319 UTC Plane intersections ------------------- Intersection 1 - Stations: 1 and 2 Convergence angle = 54.60760 deg R.A. = 267.15796 Dec = +56.25149 deg Best intersection: Stations 1 and 2 with Qconv = 54.61 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 2603432.09 +/- 0.80 m Y = -3883083.83 +/- 3.60 m Z = 4466858.74 +/- 9.45 m Vx = -910.65 +/- 1.97 m/s Vy = -12493.63 +/- 4.08 m/s Vz = 18434.60 +/- 27.17 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +6.399647e-01, +9.805170e-01, -2.229450e+00, +1.539839e+00, +3.271487e-02, -1.147372e+00 +9.805170e-01, +1.304848e+01, -2.747836e+01, +4.172655e-01, +4.616267e+00, -2.862730e+01 -2.229450e+00, -2.747836e+01, +8.969381e+01, -4.765446e+00, -2.962924e+01, +1.886059e+02 +1.539839e+00, +4.172655e-01, -4.765446e+00, +9.294004e+00, +1.730347e+00, -1.871679e+01 +3.271487e-02, +4.616267e+00, -2.962924e+01, +1.730347e+00, +1.701942e+01, -1.116138e+02 -1.147372e+00, -2.862730e+01, +1.886059e+02, -1.871679e+01, -1.116138e+02, +7.416567e+02 Timing offsets (from input data): 1: -0.000281 s 2: 0.000000 s Reference point on the trajectory: Time: 2018-10-09 00:30:45.971319 UTC Lon = -81.434715 +/- 0.0000 deg Lat = +43.884679 +/- 0.0000 deg Lat geo = +43.695343 +/- 0.0000 deg Ht = 98120.99 +/- 8.28 m JD dynamic = 2458400.522166149691 LST apparent = 303.8400651727 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 265.83114 +/- 0.0138 deg Dec = +55.80290 +/- 0.0305 deg Azimuth = +309.87708 +/- 0.0661 deg Elevation = +63.19305 +/- 0.0099 deg Vavg = 21.80816 +/- 0.0247 km/s Vinit = 22.28799 +/- 0.0248 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 267.08046 +/- 0.0138 deg Dec = +56.24533 +/- 0.0305 deg Azimuth = +311.15606 +/- 0.0661 deg Elevation = +63.79084 +/- 0.0099 deg Vavg = 21.69248 +/- 0.0247 km/s Vinit = 22.17231 +/- 0.0248 km/s Radiant (geocentric, J2000): R.A. = 262.29971 +/- 0.0154 deg Dec = +56.12659 +/- 0.0317 deg Vg = 19.32529 +/- 0.0286 km/s Vinf = 22.28799 +/- 0.0248 km/s Zc = 26.92871 +/- 0.0100 deg Zg = 28.88183 +/- 0.0084 deg Radiant (ecliptic geocentric, J2000): Lg = 247.06807 +/- 0.0538 deg Bg = +78.94981 +/- 0.0312 deg Vh = 37.87026 +/- 0.0106 km/s Radiant (ecliptic heliocentric, J2000): Lh = 282.26641 +/- 0.0049 deg Bh = +30.05853 +/- 0.0433 deg Vh_x = -6.96378 +/- 0.0028 km/s Vh_y = 32.02896 +/- 0.0053 km/s Vh_z = -18.96862 +/- 0.0301 km/s Orbit: La Sun = 195.417262 +/- 0.0000 deg a = 2.595660 +/- 0.0061 AU e = 0.616246 +/- 0.0009 i = 30.096142 +/- 0.0433 deg peri = 172.847047 +/- 0.0173 deg node = 195.418301 +/- 0.0000 deg Pi = 8.265348 +/- 0.0173 deg q = 0.996094 +/- 0.0000 AU f = 7.150683 +/- 0.0173 deg M = 1.339779 +/- 0.0080 deg Q = 4.195226 +/- 0.0122 AU n = 0.235685 +/- 0.0008 deg/day T = 4.181888 +/- 0.0147 years Last perihelion JD = 2458394.837553 (2018-10-03 08:06:04.611755) +/- 0.0150 days Tj = 2.967405 +/- 0.0049 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +8.081528e-07, +8.255808e-09, +1.161931e-05, -5.351170e-11, +2.247437e-07, +6.783380e-07 q , +8.255808e-09, +1.502146e-10, +1.815757e-07, -5.012326e-13, +3.682924e-09, +6.352790e-09 Tp , +1.161931e-05, +1.815757e-07, +2.270723e-04, -7.260165e-10, +4.555153e-06, +9.202284e-06 node, -5.351170e-11, -5.012326e-13, -7.260165e-10, +3.578557e-15, -1.392499e-11, -4.536230e-11 peri, +2.247437e-07, +3.682924e-09, +4.555153e-06, -1.392499e-11, +9.170398e-08, +1.764969e-07 i , +6.783380e-07, +6.352790e-09, +9.202284e-06, -4.536230e-11, +1.764969e-07, +5.750227e-07 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = 7.425102 a2 = 7.034071 Mean time residuals from time vs. length: Station with reference time: 2 Avg. res. = 9.680e-06 s Stddev = 3.11e-03 s Begin point on the trajectory: Lon = -81.434700 +/- 0.0000 deg Lat = 43.884670 +/- 0.0000 deg Ht = 98117.96 +/- 6.20 m End point on the trajectory: Lon = -81.388360 +/- 0.0000 deg Lat = 43.855316 +/- 0.0000 deg Ht = 87915.60 +/- 6.72 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, 8.312494, 6.769544, 97651.98, 87915.60, 0.001854, 3.79, 1.40, 16.47, 1.0000, None, None 2, False, -81.315700, 43.192800, 320.00, 6.155018, 7.495462, 98117.96, 88469.05, 0.001903, 2.00, 3.50, 24.66, 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, 0.028222, 2458400.521365740802, 142.43000, 42.42200, 322.43000, 47.57800, 322.43026, 47.57806, 237.08965, +63.54564, 237.08976, +63.54582, 2603453.56, -3882789.27, 4466424.12, 43.883332, -81.432606, 97651.98, 131020.13, 0.00, 525.48, -30.02, 0.00, 21697.62, 0.15, -0.40, 0.67, None, None 1, 1, 0, 0.059222, 2458400.521366099827, 142.46700, 42.51100, 322.46700, 47.48900, 322.47052, 47.48985, 236.88585, +63.56317, 236.88744, +63.56561, 2603483.92, -3882372.77, 4465809.57, 43.881427, -81.429583, 96988.83, 130311.31, 743.01, 1268.48, 22.06, 23967.97, 21697.62, 2.00, -5.39, 9.10, None, None 2, 1, 0, 0.091222, 2458400.521366470028, 142.50100, 42.58600, 322.50100, 47.41400, 322.50353, 47.41461, 236.71355, +63.57968, 236.71485, +63.58144, 2603509.41, -3882023.02, 4465293.50, 43.879827, -81.427069, 96431.94, 129717.15, 1366.95, 1892.43, -67.21, 19498.37, 21697.62, 1.43, -3.86, 6.54, None, None 3, 1, 0, 0.122222, 2458400.521366828587, 142.54100, 42.67000, 322.54100, 47.33000, 322.54146, 47.33011, 236.52009, +63.59931, 236.52067, +63.59963, 2603537.87, -3881632.54, 4464717.35, 43.878041, -81.424243, 95810.24, 129053.45, 2063.53, 2589.01, -61.56, 22470.29, 21697.62, 0.26, -0.69, 1.18, None, None 4, 1, 0, 0.153222, 2458400.521367187612, 142.58600, 42.76800, 322.58600, 47.23200, 322.58627, 47.23206, 236.29431, +63.62086, 236.29494, +63.62105, 2603570.63, -3881183.07, 4464054.14, 43.875984, -81.420970, 95094.60, 128289.19, 2865.38, 3390.85, 49.36, 25865.94, 22523.00, 0.15, -0.41, 0.70, None, None 5, 1, 0, 0.184222, 2458400.521367546171, 142.62700, 42.85400, 322.62700, 47.14600, 322.62486, 47.14548, 236.09568, +63.64060, 236.09549, +63.63910, 2603599.15, -3880791.87, 4463476.91, 43.874193, -81.418137, 94471.75, 127624.89, 3563.26, 4088.74, 56.31, 22512.37, 22759.41, -1.19, 3.22, 5.55, None, None 6, 1, 0, 0.215222, 2458400.521367905196, 142.66200, 42.93200, 322.66200, 47.06800, 322.65892, 47.06726, 235.91563, +63.65686, 235.91520, +63.65470, 2603624.58, -3880442.97, 4462962.11, 43.872595, -81.415624, 93916.24, 127033.17, 4185.68, 4711.16, -12.19, 20078.03, 22559.52, -1.71, 4.64, 8.02, None, None 7, 1, 0, 0.246222, 2458400.521368263755, 142.70000, 43.02100, 322.70000, 46.97900, 322.69822, 46.97857, 235.71025, +63.67391, 235.71047, +63.67266, 2603653.21, -3880050.16, 4462382.51, 43.870796, -81.412778, 93290.84, 126366.73, 4886.43, 5411.91, -2.37, 22604.90, 22479.59, -0.98, 2.67, 4.64, None, None 8, 1, 0, 0.277222, 2458400.521368622780, 142.73400, 43.10300, 322.73400, 46.89700, 322.73368, 46.89692, 235.52096, +63.68875, 235.52188, +63.68853, 2603679.24, -3879693.07, 4461855.62, 43.869161, -81.410203, 92722.31, 125761.58, 5523.46, 6048.93, -56.27, 20549.26, 22314.21, -0.18, 0.48, 0.83, None, None 9, 1, 0, 0.308222, 2458400.521368981339, 142.76900, 43.18800, 322.76900, 46.81200, 322.77048, 46.81235, 235.32460, +63.70378, 235.32632, +63.70482, 2603705.95, -3879326.58, 4461314.85, 43.867481, -81.407556, 92138.82, 125140.66, 6177.26, 6702.73, -93.40, 21090.27, 22163.36, 0.81, -2.19, 3.85, None, None 10, 1, 0, 0.339222, 2458400.521369340364, 142.80600, 43.27400, 322.80600, 46.72600, 322.80777, 46.72643, 235.12545, +63.71988, 235.12741, +63.72113, 2603732.83, -3878957.88, 4460770.84, 43.865792, -81.404892, 91551.81, 124516.28, 6834.99, 7360.47, -126.59, 21217.23, 22038.08, 0.97, -2.62, 4.63, None, None 11, 1, 0, 0.371222, 2458400.521369710565, 142.85000, 43.38100, 322.85000, 46.61900, 322.85500, 46.62020, 234.87771, +63.73824, 234.88098, +63.74178, 2603765.81, -3878505.40, 4460103.19, 43.863718, -81.401597, 90831.45, 123749.58, 7642.19, 8167.67, -32.61, 25225.00, 22091.93, 2.71, -7.37, 13.09, None, None 12, 1, 0, 0.402222, 2458400.521370069589, 142.88100, 43.45500, 322.88100, 46.54500, 322.88584, 46.54616, 234.70610, +63.75115, 234.70942, +63.75459, 2603788.35, -3878196.08, 4459646.78, 43.862299, -81.399382, 90338.97, 123226.99, 8194.00, 8719.48, -171.72, 17800.42, 21983.23, 2.61, -7.12, 12.69, None, None 13, 1, 0, 0.433222, 2458400.521370428149, 142.92000, 43.54100, 322.92000, 46.45900, 322.92283, 46.45968, 234.50594, +63.76801, 234.50865, +63.77003, 2603814.55, -3877836.62, 4459116.40, 43.860651, -81.396787, 89766.68, 122619.26, 8835.26, 9360.74, -221.40, 20685.68, 21878.08, 1.53, -4.15, 7.44, None, None 14, 1, 0, 0.464222, 2458400.521370787174, 142.96900, 43.64600, 322.96900, 46.35400, 322.96926, 46.35406, 234.26098, +63.78928, 234.26289, +63.78947, 2603846.34, -3877400.55, 4458472.96, 43.858651, -81.393611, 89072.46, 121881.50, 9613.19, 10138.67, -134.39, 25094.48, 21889.88, 0.14, -0.38, 0.68, None, None 15, 1, 0, 0.495222, 2458400.521371145733, 142.99900, 43.71300, 322.99900, 46.28700, 322.99642, 46.28638, 234.10473, +63.80184, 234.10578, +63.79999, 2603866.26, -3877127.26, 4458069.71, 43.857397, -81.391668, 88637.33, 121420.96, 10100.73, 10626.21, -337.78, 15727.19, 21762.43, -1.38, 3.76, 6.80, None, None 16, 1, 0, 0.526222, 2458400.521371504758, 143.04800, 43.82500, 323.04800, 46.17500, 323.04556, 46.17442, 233.84345, +63.82178, 233.84470, +63.82003, 2603899.30, -3876673.89, 4457400.76, 43.855316, -81.388360, 87915.60, 120654.55, 10909.51, 11434.99, -219.93, 26089.66, 21759.42, -1.30, 3.54, 6.44, None, None 0, 2, 0, 0.000000, 2458400.521365408786, 172.91000, 38.94700, 352.91000, 51.05300, 352.90928, 51.05253, 274.97228, +80.78716, 274.96817, +80.78730, 2603432.23, -3883081.92, 4466855.94, 43.884670, -81.434700, 98117.96, 125133.73, 0.00, 3.39, 76.90, 0.00, 21698.27, -1.24, 0.71, 2.35, None, None 1, 2, 0, 0.031000, 2458400.521365767810, 173.04900, 39.03500, 353.04900, 50.96500, 353.04770, 50.96414, 275.11780, +80.90906, 275.11047, +80.90931, 2603458.82, -3882717.10, 4466317.64, 43.883002, -81.432069, 97537.08, 124545.66, 650.82, 654.22, 36.80, 20994.26, 21698.27, -2.24, 1.28, 4.27, None, None 2, 2, 0, 0.063000, 2458400.521366138011, 173.18500, 39.11900, 353.18500, 50.88100, 353.18084, 50.87827, 275.27371, +81.02656, 275.25015, +81.02737, 2603484.36, -3882366.68, 4465800.58, 43.881400, -81.429551, 96979.13, 123981.40, 1275.96, 1279.35, -51.28, 19535.50, 21698.27, -7.11, 4.07, 13.63, None, None 3, 2, 0, 0.094000, 2458400.521366497036, 173.35500, 39.22900, 353.35500, 50.77100, 353.35184, 50.76893, 275.45964, +81.17757, 275.44160, +81.17819, 2603516.53, -3881925.39, 4465149.45, 43.879381, -81.426340, 96276.50, 123271.37, 2063.20, 2066.59, 45.03, 25394.82, 21698.27, -5.37, 3.08, 10.36, None, None 4, 2, 0, 0.125000, 2458400.521366855595, 173.49300, 39.32100, 353.49300, 50.67900, 353.49155, 50.67806, 275.60821, +81.30240, 275.60013, +81.30269, 2603542.90, -3881563.51, 4464615.49, 43.877725, -81.423730, 95700.32, 122689.91, 2708.77, 2712.17, -0.32, 20825.03, 21818.10, -2.45, 1.40, 4.74, None, None 5, 2, 0, 0.156000, 2458400.521367214620, 173.64500, 39.42100, 353.64500, 50.57900, 353.64431, 50.57855, 275.78462, +81.43877, 275.78104, +81.43891, 2603571.46, -3881171.76, 4464037.46, 43.875932, -81.420894, 95076.60, 122061.08, 3407.62, 3411.02, 7.60, 22543.54, 21955.20, -1.16, 0.66, 2.26, None, None 6, 2, 0, 0.187000, 2458400.521367573179, 173.79100, 39.51500, 353.79100, 50.48500, 353.78879, 50.48356, 275.96982, +81.56800, 275.95710, +81.56845, 2603598.39, -3880802.33, 4463492.35, 43.874241, -81.418226, 94488.40, 121468.75, 4066.68, 4070.07, -24.27, 21259.86, 21930.61, -3.71, 2.12, 7.25, None, None 7, 2, 0, 0.218000, 2458400.521367932204, 173.95000, 39.61900, 353.95000, 50.38100, 353.94724, 50.37921, 276.17524, +81.71006, 276.15906, +81.71064, 2603627.62, -3880401.23, 4462900.53, 43.872404, -81.415318, 93849.80, 120826.35, 4782.21, 4785.60, 0.33, 23081.64, 22015.58, -4.60, 2.64, 9.05, None, None 8, 2, 0, 0.249000, 2458400.521368290763, 174.08700, 39.71000, 354.08700, 50.29000, 354.08383, 50.28795, 276.35553, +81.83360, 276.33671, +81.83427, 2603652.87, -3880054.80, 4462389.35, 43.870818, -81.412823, 93298.22, 120272.19, 5400.24, 5403.63, -72.57, 19936.30, 21917.54, -5.25, 3.01, 10.38, None, None 9, 2, 0, 0.280000, 2458400.521368649788, 174.23500, 39.80900, 354.23500, 50.19100, 354.23179, 50.18893, 276.55685, +81.96760, 276.53760, +81.96829, 2603679.97, -3879683.03, 4461840.81, 43.869115, -81.410137, 92706.33, 119678.13, 6063.44, 6066.84, -100.29, 21393.80, 21839.07, -5.29, 3.03, 10.51, None, None 10, 2, 0, 0.311000, 2458400.521369008347, 174.38800, 39.91500, 354.38800, 50.08500, 354.38723, 50.08450, 276.76160, +82.10919, 276.75783, +82.10936, 2603708.21, -3879295.62, 4461269.18, 43.867340, -81.407331, 92089.53, 119059.76, 6754.56, 6757.96, -100.10, 22294.21, 21816.79, -1.26, 0.72, 2.52, None, None 11, 2, 0, 0.343000, 2458400.521369379014, 174.56400, 40.03400, 354.56400, 49.96600, 354.56359, 49.96573, 277.02193, +82.26949, 277.02053, +82.26958, 2603739.92, -3878860.61, 4460627.31, 43.865346, -81.404169, 91396.96, 118366.27, 7530.60, 7533.99, -37.28, 24251.11, 21900.46, -0.67, 0.39, 1.35, None, None 12, 2, 0, 0.374000, 2458400.521369737573, 174.70700, 40.13200, 354.70700, 49.86800, 354.70670, 49.86781, 277.23987, +82.40078, 277.23932, +82.40085, 2603765.71, -3878506.66, 4460105.05, 43.863723, -81.401616, 90833.45, 117802.82, 8162.02, 8165.42, -96.78, 20368.56, 21900.47, -0.48, 0.28, 0.98, None, None 13, 2, 0, 0.405000, 2458400.521370096598, 174.86800, 40.24300, 354.86800, 49.75700, 354.86832, 49.75720, 277.49559, +82.54908, 277.49933, +82.54901, 2603794.52, -3878111.52, 4459522.01, 43.861912, -81.398751, 90204.35, 117174.48, 8866.94, 8870.34, -82.79, 22739.32, 21924.37, 0.52, -0.30, 1.05, None, None 14, 2, 0, 0.436000, 2458400.521370455157, 174.99300, 40.32800, 354.99300, 49.67200, 354.99152, 49.67106, 277.70865, +82.66312, 277.70017, +82.66346, 2603816.68, -3877807.48, 4459073.39, 43.860517, -81.396575, 89720.28, 116691.70, 9409.34, 9412.73, -231.32, 17496.62, 21829.64, -2.38, 1.36, 4.84, None, None 15, 2, 0, 0.467000, 2458400.521370814182, 175.15200, 40.43700, 355.15200, 49.56300, 355.14957, 49.56145, 277.98952, +82.80883, 277.97427, +82.80941, 2603844.59, -3877424.59, 4458508.43, 43.858761, -81.393802, 89110.71, 116084.28, 10092.39, 10095.79, -239.20, 22033.97, 21770.76, -3.89, 2.23, 7.97, None, None 16, 2, 0, 0.498000, 2458400.521371172741, 175.31800, 40.55500, 355.31800, 49.44500, 355.31738, 49.44461, 278.28285, +82.96448, 278.28040, +82.96463, 2603873.96, -3877021.54, 4457913.72, 43.856912, -81.390876, 88469.05, 115445.71, 10811.41, 10814.81, -211.11, 23194.21, 21758.14, -0.98, 0.56, 2.02, 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.