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: 2458400.510148756206 Time: 2018-10-09 00:14:36.852536 UTC Plane intersections ------------------- Intersection 1 - Stations: 2 and 1 Convergence angle = 81.96604 deg R.A. = 266.54885 Dec = +55.97811 deg Best intersection: Stations 2 and 1 with Qconv = 81.97 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 2355470.79 +/- 2.58 m Y = -4084100.03 +/- 16.59 m Z = 4426325.71 +/- 21.35 m Vx = -1063.98 +/- 3.97 m/s Vy = -12751.12 +/- 31.21 m/s Vz = 18647.38 +/- 59.35 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +6.695433e+00, +1.739317e+01, -2.266963e+01, +1.555351e+01, +2.342607e+01, -2.616008e+01 +1.739317e+01, +2.790806e+02, -3.543153e+02, +2.356967e+01, +4.905613e+02, -5.666053e+02 -2.266963e+01, -3.543153e+02, +4.606557e+02, -2.402841e+01, -5.265177e+02, +6.080360e+02 +1.555351e+01, +2.356967e+01, -2.402841e+01, +5.611648e+01, +1.151206e+02, -1.300266e+02 +2.342607e+01, +4.905613e+02, -5.265177e+02, +1.151206e+02, +1.986101e+03, -2.293308e+03 -2.616008e+01, -5.666053e+02, +6.080360e+02, -1.300266e+02, -2.293308e+03, +2.648360e+03 Timing offsets (from input data): 2: -0.001276 s 1: 0.000000 s Reference point on the trajectory: Time: 2018-10-09 00:14:36.852536 UTC Lon = -81.251888 +/- 0.0001 deg Lat = +43.382401 +/- 0.0001 deg Lat geo = +43.193255 +/- 0.0001 deg Ht = 98819.03 +/- 24.68 m JD dynamic = 2458400.510949497111 LST apparent = 299.9738416811 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 265.23015 +/- 0.0320 deg Dec = +55.54292 +/- 0.0195 deg Azimuth = +310.96353 +/- 0.0447 deg Elevation = +64.72206 +/- 0.0185 deg Vavg = 22.18703 +/- 0.0230 km/s Vinit = 22.61521 +/- 0.0667 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 266.51461 +/- 0.0320 deg Dec = +55.94755 +/- 0.0195 deg Azimuth = +312.33747 +/- 0.0447 deg Elevation = +65.31347 +/- 0.0185 deg Vavg = 22.07852 +/- 0.0230 km/s Vinit = 22.50671 +/- 0.0667 km/s Radiant (geocentric, J2000): R.A. = 262.06695 +/- 0.0448 deg Dec = +55.96126 +/- 0.0233 deg Vg = 19.70220 +/- 0.0767 km/s Vinf = 22.61521 +/- 0.0667 km/s Zc = 25.40231 +/- 0.0185 deg Zg = 27.18001 +/- 0.0275 deg Radiant (ecliptic geocentric, J2000): Lg = 246.66175 +/- 0.1451 deg Bg = +78.75470 +/- 0.0193 deg Vh = 38.13436 +/- 0.0557 km/s Radiant (ecliptic heliocentric, J2000): Lh = 282.07892 +/- 0.0153 deg Bh = +30.44933 +/- 0.0803 deg Vh_x = -6.87934 +/- 0.0067 km/s Vh_y = 32.14695 +/- 0.0221 km/s Vh_z = -19.32558 +/- 0.0741 km/s Orbit: La Sun = 195.406182 +/- -0.0000 deg a = 2.757637 +/- 0.0343 AU e = 0.638875 +/- 0.0048 i = 30.491598 +/- 0.0806 deg peri = 172.641665 +/- 0.0310 deg node = 195.407170 +/- 0.0000 deg Pi = 8.048835 +/- 0.0310 deg q = 0.995853 +/- 0.0000 AU f = 7.356059 +/- 0.0310 deg M = 1.249656 +/- 0.0308 deg Q = 4.519421 +/- 0.0686 AU n = 0.215228 +/- 0.0043 deg/day T = 4.579376 +/- 0.0842 years Last perihelion JD = 2458394.704747 (2018-10-03 04:54:50.118411) +/- 0.0302 days Tj = 2.852334 +/- 0.0242 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +2.329132e-05, +1.133739e-09, +1.099164e-04, -5.444249e-10, +1.497984e-06, +6.888645e-06 q , +1.133739e-09, +4.892176e-10, +4.506870e-07, +4.567958e-14, +9.932322e-09, -5.891169e-10 Tp , +1.099164e-04, +4.506870e-07, +9.242004e-04, -2.503676e-09, +1.604604e-05, +3.166818e-05 node, -5.444249e-10, +4.567958e-14, -2.503676e-09, +1.273750e-14, -3.356196e-11, -1.611658e-10 peri, +1.497984e-06, +9.932322e-09, +1.604604e-05, -3.356196e-11, +2.950766e-07, +4.244246e-07 i , +6.888645e-06, -5.891169e-10, +3.166818e-05, -1.611658e-10, +4.244246e-07, +2.039238e-06 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = 2.360933 a2 = 9.048384 Mean time residuals from time vs. length: Station with reference time: 1 Avg. res. = 2.239e-05 s Stddev = 4.73e-03 s Begin point on the trajectory: Lon = -81.252014 +/- 0.0001 deg Lat = 43.382480 +/- 0.0000 deg Ht = 98847.98 +/- 14.65 m End point on the trajectory: Lon = -81.207810 +/- 0.0001 deg Lat = 43.353068 +/- 0.0000 deg Ht = 88150.78 +/- 9.44 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 2, False, -81.315700, 43.192800, 320.00, 1.203904, 10.403348, 95837.90, 89036.23, 0.001420, 2.06, 1.15, 21.52, 1.0000, None, None 1, False, -80.772100, 43.264200, 330.00, 2.123927, 8.957393, 98846.96, 88178.17, 0.002173, 2.49, 2.97, 9.79, 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, 2, 0, 0.150829, 2458400.510150462855, 197.01800, 12.62900, 17.01800, 77.37100, 17.01753, 77.36941, 306.33470, +55.11632, 306.33557, +55.11783, 2355626.81, -4082241.89, 4423606.11, 43.374202, -81.239576, 95837.90, 97850.50, 0.00, 3379.74, -23.40, 0.00, 22986.00, -1.33, -2.38, 5.75, None, None 1, 2, 0, 0.181829, 2458400.510150821880, 197.70200, 12.64100, 17.70200, 77.35900, 17.70244, 77.36025, 306.58450, +55.07054, 306.58394, +55.06935, 2355658.87, -4081860.51, 4423047.87, 43.372518, -81.237050, 95226.02, 97227.34, 676.84, 4056.57, -44.23, 21833.51, 22986.00, 1.04, 1.85, 4.50, None, None 2, 2, 0, 0.212829, 2458400.510151180439, 198.49600, 12.65500, 18.49600, 77.34500, 18.49691, 77.34720, 306.87287, +55.01468, 306.87190, +55.01258, 2355695.42, -4081425.54, 4422411.20, 43.370596, -81.234151, 94528.17, 96517.54, 1448.77, 4828.51, 30.04, 24901.14, 22986.00, 1.82, 3.25, 7.96, None, None 3, 2, 0, 0.243829, 2458400.510151539464, 199.18900, 12.66800, 19.18900, 77.33200, 19.18996, 77.33407, 307.12360, +54.96419, 307.12282, +54.96222, 2355727.11, -4081048.50, 4421859.32, 43.368931, -81.231656, 93923.26, 95902.89, 2117.91, 5497.64, 1.51, 21584.96, 22986.00, 1.71, 3.05, 7.51, None, None 4, 2, 0, 0.274829, 2458400.510151898023, 199.89500, 12.68300, 19.89500, 77.31700, 19.89594, 77.31881, 307.37885, +54.91201, 307.37833, +54.91028, 2355759.04, -4080668.64, 4421303.30, 43.367252, -81.229140, 93313.83, 95284.33, 2792.06, 6171.79, -22.01, 21746.70, 22661.87, 1.48, 2.65, 6.57, None, None 5, 2, 0, 0.305829, 2458400.510152257048, 200.61600, 12.70000, 20.61600, 77.30000, 20.61672, 77.30126, 307.63927, +54.85778, 307.63919, +54.85658, 2355791.28, -4080284.99, 4420741.73, 43.365556, -81.226597, 92698.32, 94660.32, 3472.92, 6852.66, -38.81, 21963.46, 22469.49, 1.02, 1.82, 4.55, None, None 6, 2, 0, 0.336829, 2458400.510152615607, 201.42700, 12.72200, 21.42700, 77.27800, 21.42760, 77.27894, 307.93262, +54.79636, 307.93285, +54.79546, 2355827.03, -4079859.62, 4420119.11, 43.363675, -81.223763, 92015.90, 93969.43, 4227.82, 7607.56, 18.42, 24351.52, 22602.43, 0.76, 1.36, 3.43, None, None 7, 2, 0, 0.367829, 2458400.510152974632, 202.15900, 12.74400, 22.15900, 77.25600, 22.15954, 77.25678, 308.19749, +54.74009, 308.19794, +54.73935, 2355859.09, -4079478.18, 4419560.78, 43.361988, -81.221235, 91403.95, 93350.56, 4904.77, 8284.50, -2.30, 21836.98, 22594.03, 0.63, 1.12, 2.83, None, None 8, 2, 0, 0.399829, 2458400.510153344832, 202.76200, 12.76200, 22.76200, 77.23800, 22.76148, 77.23730, 308.41440, +54.69168, 308.41586, +54.69234, 2355885.47, -4079164.29, 4419101.32, 43.360600, -81.219182, 90900.33, 92841.64, 5461.84, 8841.57, -165.40, 17408.50, 22232.24, -0.56, -1.00, 2.55, None, None 9, 2, 0, 0.430829, 2458400.510153703392, 203.56000, 12.79000, 23.56000, 77.21000, 23.55901, 77.20876, 308.70335, +54.62851, 308.70527, +54.62969, 2355919.71, -4078756.93, 4418505.06, 43.358797, -81.216472, 90246.82, 92182.31, 6184.78, 9564.51, -140.13, 23320.66, 22108.80, -0.99, -1.76, 4.52, None, None 10, 2, 0, 0.461829, 2458400.510154062416, 204.35800, 12.82100, 24.35800, 77.17900, 24.35687, 77.17769, 308.99312, +54.56477, 308.99522, +54.56602, 2355953.64, -4078353.17, 4417914.07, 43.357011, -81.213788, 89599.08, 91529.68, 6901.33, 10281.06, -121.25, 23114.51, 22087.32, -1.04, -1.85, 4.79, None, None 11, 2, 0, 0.492829, 2458400.510154420976, 205.05200, 12.85200, 25.05200, 77.14800, 25.05265, 77.14871, 309.24734, +54.51017, 309.24833, +54.50949, 2355983.13, -4078002.34, 4417400.54, 43.355458, -81.211472, 89036.23, 90963.19, 7523.96, 10903.69, -196.29, 20084.76, 21998.19, 0.57, 1.01, 2.62, None, None 0, 1, 0, 0.000000, 2458400.510148756206, 108.82000, 22.97600, 288.82000, 67.02400, 288.81901, 67.02028, 268.13982, +46.27706, 268.13387, +46.27640, 2355469.19, -4084117.37, 4426351.32, 43.382479, -81.252010, 98846.96, 106863.44, 0.00, 51.31, 42.65, 0.00, 23236.55, -5.34, 4.50, 13.47, None, None 1, 1, 0, 0.031000, 2458400.510149115231, 108.69400, 22.97700, 288.69400, 67.02300, 288.69324, 67.02007, 268.14372, +46.22794, 268.13905, +46.22742, 2355494.58, -4083815.27, 4425909.12, 43.381147, -81.250038, 98362.25, 106338.52, 536.15, 587.46, -118.87, 17295.19, 23236.55, -4.18, 3.51, 10.59, None, None 2, 1, 0, 0.062000, 2458400.510149473790, 108.50200, 22.97800, 288.50200, 67.02200, 288.50205, 67.02222, 268.15068, +46.15314, 268.15064, +46.15318, 2355533.18, -4083355.96, 4425236.82, 43.379120, -81.246972, 97625.33, 105538.57, 1351.28, 1402.59, -1.41, 26294.58, 23236.55, 0.31, -0.26, 0.78, None, None 3, 1, 0, 0.094000, 2458400.510149844456, 108.31100, 22.97700, 288.31100, 67.02300, 288.31121, 67.02386, 268.16079, +46.07890, 268.16179, +46.07905, 2355571.09, -4082904.95, 4424576.66, 43.377130, -81.243967, 96901.72, 104753.45, 2151.69, 2203.00, 78.83, 25012.73, 23236.55, 1.21, -1.02, 3.11, None, None 4, 1, 0, 0.125000, 2458400.510150203016, 108.14900, 22.97700, 288.14900, 67.02300, 288.14931, 67.02436, 268.16838, +46.01588, 268.17022, +46.01612, 2355602.67, -4082529.12, 4424026.54, 43.375470, -81.241481, 96298.73, 104099.85, 2818.69, 2869.99, 48.15, 21515.96, 23176.77, 1.90, -1.59, 4.91, None, None 5, 1, 0, 0.156000, 2458400.510150562041, 107.98800, 22.97700, 287.98800, 67.02300, 287.98835, 67.02459, 268.17614, +45.95327, 268.17843, +45.95354, 2355633.67, -4082160.29, 4423486.67, 43.373842, -81.239043, 95706.98, 103458.63, 3473.25, 3524.55, 5.05, 21114.88, 22868.10, 2.21, -1.85, 5.74, None, None 6, 1, 0, 0.187000, 2458400.510150920600, 107.82700, 22.97600, 287.82700, 67.02400, 287.82713, 67.02461, 268.18554, +45.89075, 268.18657, +45.89086, 2355664.33, -4081795.49, 4422952.70, 43.372231, -81.236633, 95121.70, 102824.57, 4120.66, 4171.97, -45.21, 20884.33, 22546.86, 0.84, -0.70, 2.19, None, None 7, 1, 0, 0.218000, 2458400.510151279625, 107.65700, 22.97600, 287.65700, 67.02400, 287.65714, 67.02466, 268.19419, +45.82467, 268.19543, +45.82478, 2355696.29, -4081415.24, 4422396.12, 43.370551, -81.234115, 94511.63, 102163.62, 4795.49, 4846.80, -68.04, 21768.79, 22348.17, 0.91, -0.76, 2.40, None, None 8, 1, 0, 0.249000, 2458400.510151638184, 107.42100, 22.97800, 287.42100, 67.02200, 287.42186, 67.02644, 268.20374, +45.73276, 268.21045, +45.73352, 2355740.16, -4080893.24, 4421632.05, 43.368244, -81.230610, 93674.18, 101255.05, 5721.89, 5773.20, 160.69, 29883.82, 22754.01, 6.03, -5.04, 16.02, None, None 9, 1, 0, 0.280000, 2458400.510151997209, 107.26100, 22.97800, 287.26100, 67.02200, 287.26168, 67.02563, 268.21242, +45.67060, 268.21811, +45.67122, 2355769.31, -4080546.47, 4421124.48, 43.366712, -81.228325, 93117.84, 100652.93, 6337.30, 6388.60, 78.43, 19851.76, 22803.85, 4.91, -4.10, 13.11, None, None 10, 1, 0, 0.311000, 2458400.510152355768, 107.07200, 22.97800, 287.07200, 67.02200, 287.07260, 67.02540, 268.22293, +45.59718, 268.22841, +45.59776, 2355803.40, -4080140.76, 4420530.63, 43.364918, -81.225628, 92466.95, 99947.94, 7057.31, 7108.62, 100.77, 23226.28, 22850.19, 4.56, -3.81, 12.26, None, None 11, 1, 0, 0.342000, 2458400.510152714793, 106.94100, 22.97800, 286.94100, 67.02200, 286.94123, 67.02336, 268.23039, +45.54631, 268.23312, +45.54654, 2355826.56, -4079865.26, 4420127.36, 43.363700, -81.223838, 92024.92, 99470.53, 7546.26, 7597.56, -107.95, 15772.42, 22606.01, 1.82, -1.52, 4.91, None, None 12, 1, 0, 0.374000, 2458400.510153084993, 106.70900, 22.97800, 286.70900, 67.02200, 286.70924, 67.02348, 268.24394, +45.45624, 268.24696, +45.45649, 2355867.49, -4079378.20, 4419414.44, 43.361546, -81.220579, 91243.55, 98623.89, 8410.63, 8461.94, 36.26, 27011.77, 22607.53, 1.96, -1.63, 5.33, None, None 13, 1, 0, 0.405000, 2458400.510153444018, 106.55400, 22.97900, 286.55400, 67.02100, 286.55409, 67.02157, 268.25182, +45.39598, 268.25369, +45.39607, 2355894.23, -4079060.08, 4418948.79, 43.360139, -81.218491, 90733.16, 98072.28, 8975.21, 9026.51, -96.84, 18212.12, 22483.25, 0.75, -0.63, 2.05, None, None 14, 1, 0, 0.436000, 2458400.510153802577, 106.37600, 22.98100, 286.37600, 67.01900, 286.37614, 67.01996, 268.25991, +45.32669, 268.26246, +45.32685, 2355924.64, -4078698.25, 4418419.18, 43.358538, -81.216099, 90152.68, 97444.49, 9617.34, 9668.64, -152.37, 20713.88, 22358.52, 1.25, -1.04, 3.45, None, None 15, 1, 0, 0.467000, 2458400.510154161602, 106.22400, 22.98100, 286.22400, 67.01900, 286.22380, 67.01754, 268.26943, +45.26772, 268.26872, +45.26748, 2355950.25, -4078393.53, 4417973.15, 43.357189, -81.214105, 89663.79, 96916.49, 10158.13, 10209.43, -309.25, 17444.79, 22167.19, -1.90, 1.58, 5.26, None, None 16, 1, 0, 0.498000, 2458400.510154520161, 106.03300, 22.98400, 286.03300, 67.01600, 286.03296, 67.01567, 268.27743, +45.19330, 268.27844, +45.19324, 2355982.13, -4078014.20, 4417417.91, 43.355510, -81.211590, 89055.24, 96258.41, 10831.33, 10882.63, -333.72, 21716.10, 22027.11, -0.42, 0.35, 1.18, None, None 17, 1, 0, 0.529000, 2458400.510154879186, 105.75500, 22.98700, 285.75500, 67.01300, 285.75523, 67.01503, 268.29155, +45.08516, 268.29598, +45.08549, 2356028.08, -4077467.46, 4416617.62, 43.353089, -81.207908, 88178.17, 95308.49, 11801.64, 11852.95, -61.07, 31300.46, 22090.74, 2.60, -2.16, 7.31, 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.