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: 2458400.541329477914 Time: 2018-10-09 00:59:30.866892 UTC Plane intersections ------------------- Intersection 1 - Stations: 2 and 1 Convergence angle = 88.98665 deg R.A. = 266.11434 Dec = +56.27372 deg Best intersection: Stations 2 and 1 with Qconv = 88.99 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 3097150.54 +/- 3.55 m Y = -3553155.42 +/- 13.76 m Z = 4430222.19 +/- 19.91 m Vx = -1096.21 +/- 11.32 m/s Vy = -12287.89 +/- 8.31 m/s Vz = 18077.99 +/- 19.96 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +1.269724e+01, +7.241306e+00, -9.176680e+00, +3.653375e+01, -3.034607e+01, +5.354065e+01 +7.241306e+00, +1.904117e+02, -2.737958e+02, -1.843100e+01, +5.604822e+01, -5.943221e+01 -9.176680e+00, -2.737958e+02, +3.984653e+02, +3.499008e+01, -6.863393e+01, +8.317153e+01 +3.653375e+01, -1.843100e+01, +3.499008e+01, +1.328985e+02, -9.640040e+01, +1.828149e+02 -3.034607e+01, +5.604822e+01, -6.863393e+01, -9.640040e+01, +1.677887e+02, -2.094455e+02 +5.354065e+01, -5.943221e+01, +8.317153e+01, +1.828149e+02, -2.094455e+02, +3.121292e+02 Timing offsets (from input data): 2: 0.000367 s 1: 0.000000 s Reference point on the trajectory: Time: 2018-10-09 00:59:30.866892 UTC Lon = -81.404096 +/- 0.0001 deg Lat = +43.414505 +/- 0.0001 deg Lat geo = +43.225400 +/- 0.0001 deg Ht = 100659.10 +/- 21.03 m JD dynamic = 2458400.542130218819 LST apparent = 311.0774251974 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 264.90213 +/- 0.0568 deg Dec = +55.68980 +/- 0.0124 deg Azimuth = +309.20680 +/- 0.0257 deg Elevation = +58.34373 +/- 0.0316 deg Vavg = 21.88142 +/- 0.0221 km/s Vinit = 21.88625 +/- 0.0209 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 266.03004 +/- 0.0568 deg Dec = +56.22432 +/- 0.0124 deg Azimuth = +310.31616 +/- 0.0257 deg Elevation = +58.93627 +/- 0.0316 deg Vavg = 21.74391 +/- 0.0221 km/s Vinit = 21.74874 +/- 0.0209 km/s Radiant (geocentric, J2000): R.A. = 260.51634 +/- 0.0692 deg Dec = +55.77328 +/- 0.0144 deg Vg = 18.86191 +/- 0.0243 km/s Vinf = 21.88625 +/- 0.0209 km/s Zc = 31.77611 +/- 0.0315 deg Zg = 34.19655 +/- 0.0388 deg Radiant (ecliptic geocentric, J2000): Lg = 242.77570 +/- 0.1701 deg Bg = +78.31204 +/- 0.0232 deg Vh = 37.55685 +/- 0.0184 km/s Radiant (ecliptic heliocentric, J2000): Lh = 281.76760 +/- 0.0182 deg Bh = +29.46243 +/- 0.0277 deg Vh_x = -6.66891 +/- 0.0111 km/s Vh_y = 32.01268 +/- 0.0065 km/s Vh_z = -18.47244 +/- 0.0247 km/s Orbit: La Sun = 195.436983 +/- -0.0000 deg a = 2.427715 +/- 0.0091 AU e = 0.590200 +/- 0.0015 i = 29.512839 +/- 0.0273 deg peri = 171.389430 +/- 0.0559 deg node = 195.438011 +/- 0.0000 deg Pi = 6.827441 +/- 0.0559 deg q = 0.994878 +/- 0.0000 AU f = 8.608390 +/- 0.0559 deg M = 1.795844 +/- 0.0217 deg Q = 3.860552 +/- 0.0182 AU n = 0.260560 +/- 0.0015 deg/day T = 3.782658 +/- 0.0213 years Last perihelion JD = 2458393.649882 (2018-10-02 03:35:49.784034) +/- 0.0473 days Tj = 3.103317 +/- 0.0079 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +2.363149e-06, +5.857619e-08, +6.223320e-05, -5.547614e-11, +1.252262e-06, +7.190006e-07 q , +5.857619e-08, +2.344111e-09, +2.281042e-06, -1.598003e-12, +4.724256e-08, +2.069924e-08 Tp , +6.223320e-05, +2.281042e-06, +2.250125e-03, -1.645409e-09, +4.638904e-05, +2.131567e-05 node, -5.547614e-11, -1.598003e-12, -1.645409e-09, +1.358942e-15, -3.344454e-11, -1.760910e-11 peri, +1.252262e-06, +4.724256e-08, +4.638904e-05, -3.344454e-11, +9.578394e-07, +4.332468e-07 i , +7.190006e-07, +2.069924e-08, +2.131567e-05, -1.760910e-11, +4.332468e-07, +2.281886e-07 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = 30.518703 a2 = 0.000000 Mean time residuals from time vs. length: Station with reference time: 1 Avg. res. = 1.040e-05 s Stddev = 3.22e-03 s Begin point on the trajectory: Lon = -81.404317 +/- 0.0000 deg Lat = 43.414636 +/- 0.0000 deg Ht = 100697.07 +/- 8.21 m End point on the trajectory: Lon = -81.350343 +/- 0.0000 deg Lat = 43.381248 +/- 0.0000 deg Ht = 91048.80 +/- 8.24 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, 0.000000, 0.000000, 97930.51, 91048.80, 0.001287, 1.88, 1.17, 20.49, 1.0000, None, None 1, False, -80.772100, 43.264200, 330.00, 42.820702, 0.000000, 100697.07, 92480.65, 0.003257, 4.78, 4.22, 11.46, 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, 0.135458, 2458400.541331018321, 165.91400, 14.20500, 345.91400, 75.79500, 345.90752, 75.79745, 304.89958, +56.83015, 304.89828, +56.82731, 3097311.10, -3551355.60, 4427574.28, 43.405076, -81.388801, 97930.51, 100639.59, 0.00, 3205.70, -21.32, 0.00, 21865.54, 2.72, 4.35, 10.53, None, None 1, 2, 0, 0.166458, 2458400.541331377346, 166.48100, 14.11100, 346.48100, 75.88900, 346.47949, 75.88958, 305.19434, +56.78509, 305.19416, +56.78442, 3097351.62, -3550901.48, 4426906.18, 43.402696, -81.384930, 97242.10, 99890.28, 808.84, 4014.54, 109.04, 26091.59, 21865.54, 0.63, 1.02, 2.47, None, None 2, 2, 0, 0.198458, 2458400.541331747547, 166.84700, 14.05300, 346.84700, 75.94700, 346.84438, 75.94802, 305.38148, +56.75721, 305.38120, +56.75605, 3097377.55, -3550610.82, 4426478.55, 43.401172, -81.382503, 96801.46, 99411.32, 1326.55, 4532.25, -73.61, 16178.46, 21865.54, 1.10, 1.76, 4.31, None, None 3, 2, 0, 0.229458, 2458400.541332106106, 167.43400, 13.96400, 347.43400, 76.03600, 347.42884, 76.03803, 305.67694, +56.71423, 305.67623, +56.71192, 3097417.15, -3550166.85, 4425825.39, 43.398843, -81.378720, 96128.45, 98680.12, 2117.31, 5323.02, 38.68, 25508.49, 21865.54, 2.18, 3.48, 8.59, None, None 4, 2, 0, 0.260458, 2458400.541332465131, 167.89300, 13.89300, 347.89300, 76.10700, 347.89064, 76.10794, 305.90658, +56.67749, 305.90659, +56.67643, 3097448.06, -3549820.36, 4425315.63, 43.397026, -81.375796, 95603.22, 98110.17, 2734.45, 5940.15, -22.65, 19907.60, 21647.47, 1.00, 1.59, 3.95, None, None 5, 2, 0, 0.291458, 2458400.541332823690, 168.41700, 13.81500, 348.41700, 76.18500, 348.41615, 76.18534, 306.16487, +56.63660, 306.16533, +56.63622, 3097482.27, -3549436.93, 4424751.53, 43.395014, -81.372546, 95022.00, 97480.00, 3417.38, 6623.08, -18.20, 22029.95, 21638.68, 0.36, 0.57, 1.43, None, None 6, 2, 0, 0.322458, 2458400.541333182715, 168.95000, 13.73800, 348.95000, 76.26200, 348.95000, 76.26200, 306.42398, +56.59525, 306.42477, +56.59525, 3097516.21, -3549056.43, 4424191.73, 43.393017, -81.369322, 94445.23, 96855.28, 4095.10, 7300.81, -18.95, 21862.12, 21659.26, 0.00, 0.00, 0.01, None, None 7, 2, 0, 0.353458, 2458400.541333541274, 169.51300, 13.65900, 349.51300, 76.34100, 349.51364, 76.34073, 306.69396, +56.55167, 306.69502, +56.55197, 3097551.15, -3548664.84, 4423615.63, 43.390962, -81.365999, 93851.66, 96213.02, 4792.57, 7998.28, 0.05, 22499.06, 21737.38, -0.27, -0.44, 1.11, None, None 8, 2, 0, 0.384458, 2458400.541333900299, 170.04100, 13.58700, 350.04100, 76.41300, 350.04160, 76.41275, 306.94380, +56.51086, 306.94498, +56.51114, 3097583.24, -3548305.11, 4423086.39, 43.389073, -81.362957, 93306.39, 95623.67, 5433.30, 8639.00, -37.70, 20668.57, 21703.11, -0.26, -0.41, 1.05, None, None 9, 2, 0, 0.415458, 2458400.541334258858, 170.56300, 13.51800, 350.56300, 76.48200, 350.56275, 76.48211, 307.18762, +56.47081, 307.18873, +56.47069, 3097614.27, -3547957.28, 4422574.66, 43.387246, -81.360019, 92779.16, 95054.39, 6052.82, 9258.53, -96.65, 19984.68, 21592.34, 0.11, 0.17, 0.44, None, None 10, 2, 0, 0.446458, 2458400.541334617883, 171.28500, 13.42600, 351.28500, 76.57400, 351.28413, 76.57438, 307.51989, +56.41582, 307.52097, +56.41540, 3097655.60, -3547493.96, 4421893.02, 43.384813, -81.356063, 92076.93, 94296.90, 6878.06, 10083.76, 50.11, 26620.39, 21759.41, 0.38, 0.61, 1.56, None, None 11, 2, 0, 0.478458, 2458400.541334988084, 171.87300, 13.35000, 351.87300, 76.65000, 351.87676, 76.64831, 307.78772, +56.36751, 307.79013, +56.36933, 3097689.01, -3547119.45, 4421342.04, 43.382845, -81.352894, 91509.29, 93685.44, 7545.10, 10750.81, 16.80, 20845.17, 21819.95, -1.64, -2.63, 6.83, None, None 12, 2, 0, 0.509458, 2458400.541335347109, 172.36300, 13.29200, 352.36300, 76.70800, 352.36340, 76.70782, 308.00701, +56.33083, 308.00867, +56.33103, 3097716.12, -3546815.64, 4420895.08, 43.381248, -81.350343, 91048.80, 93189.95, 8086.22, 11291.92, -120.56, 17455.29, 21712.88, -0.17, -0.28, 0.73, None, None 0, 1, 0, 0.000000, 2458400.541329477914, 108.27600, 28.67100, 288.27600, 61.32900, 288.27400, 61.32263, 271.33618, +45.30761, 271.32696, +45.30551, 3097148.31, -3553180.46, 4430259.03, 43.414636, -81.404317, 100697.07, 114136.73, 0.00, 44.60, -217.76, 0.00, 24097.50, -8.49, 9.63, 23.21, None, None 1, 1, 0, 0.062000, 2458400.541330195498, 107.95600, 28.65600, 287.95600, 61.34400, 287.95349, 61.33566, 271.39737, +45.15953, 271.38577, +45.15679, 3097225.76, -3552312.25, 4428981.71, 43.410089, -81.396931, 99380.79, 112629.50, 1546.39, 1501.79, -117.51, 24941.78, 24097.50, -10.96, 12.43, 30.35, None, None 2, 1, 0, 0.093000, 2458400.541330554523, 107.82500, 28.65700, 287.82500, 61.34300, 287.82403, 61.33970, 271.41268, +45.09764, 271.40805, +45.09656, 3097256.28, -3551970.14, 4428478.41, 43.408297, -81.394047, 98862.15, 112036.83, 2155.72, 2111.12, -186.66, 19655.83, 24097.50, -4.31, 4.88, 11.99, None, None 3, 1, 0, 0.124000, 2458400.541330913082, 107.63700, 28.65200, 287.63700, 61.34800, 287.63683, 61.34741, 271.44385, +45.01007, 271.44301, +45.00988, 3097300.18, -3551478.08, 4427754.48, 43.405718, -81.389842, 98116.19, 111182.50, 3032.14, 2987.54, 11.29, 28271.72, 24097.50, -0.76, 0.86, 2.14, None, None 4, 1, 0, 0.156000, 2458400.541331283748, 107.48800, 28.64600, 287.48800, 61.35400, 287.48748, 61.35217, 271.47155, +44.94111, 271.46918, +44.94052, 3097334.51, -3551093.22, 4427188.27, 43.403701, -81.386586, 97532.75, 110515.67, 3717.64, 3673.04, -3.57, 21421.67, 23884.46, -2.36, 2.67, 6.65, None, None 5, 1, 0, 0.187000, 2458400.541331642307, 107.33500, 28.64500, 287.33500, 61.35500, 287.33556, 61.35703, 271.49301, +44.86935, 271.49598, +44.87001, 3097369.04, -3550706.20, 4426618.89, 43.401672, -81.383305, 96946.06, 109845.10, 4406.96, 4362.36, 7.28, 22236.23, 23620.57, 2.61, -2.94, 7.38, None, None 6, 1, 0, 0.218000, 2458400.541332001332, 107.18500, 28.63900, 287.18500, 61.36100, 287.18515, 61.36156, 271.52117, +44.80002, 271.52228, +44.80020, 3097402.78, -3550327.96, 4426062.41, 43.399688, -81.380102, 96372.68, 109190.00, 5080.66, 5036.06, 2.50, 21732.19, 23341.77, 0.72, -0.81, 2.05, None, None 7, 1, 0, 0.249000, 2458400.541332359891, 107.04300, 28.63200, 287.04300, 61.36800, 287.04231, 61.36542, 271.54978, +44.73470, 271.54679, +44.73386, 3097434.40, -3549973.51, 4425540.95, 43.397829, -81.377108, 95835.37, 108576.57, 5711.97, 5667.37, -44.66, 20364.91, 22997.92, -3.28, 3.69, 9.38, None, None 8, 1, 0, 0.280000, 2458400.541332718916, 106.86200, 28.62800, 286.86200, 61.37200, 286.86182, 61.37129, 271.57967, +44.65052, 271.57933, +44.65029, 3097474.03, -3549529.35, 4424887.50, 43.395499, -81.373323, 95162.10, 107806.89, 6503.08, 6458.48, 67.97, 25519.61, 22974.62, -0.89, 1.00, 2.57, None, None 9, 1, 0, 0.311000, 2458400.541333077475, 106.72300, 28.62700, 286.72300, 61.37300, 286.72336, 61.37443, 271.59994, +44.58549, 271.60259, +44.58595, 3097503.85, -3549194.98, 4424395.57, 43.393744, -81.370505, 94655.24, 107228.78, 7098.64, 7054.04, -14.94, 19211.59, 22775.87, 1.79, -2.01, 5.17, None, None 10, 1, 0, 0.342000, 2458400.541333436500, 106.55900, 28.62100, 286.55900, 61.37900, 286.55896, 61.37883, 271.63065, +44.50980, 271.63130, +44.50975, 3097538.98, -3548801.27, 4423816.34, 43.391678, -81.367164, 94058.46, 106547.43, 7799.88, 7755.28, 7.83, 22620.78, 22656.41, -0.21, 0.23, 0.61, None, None 11, 1, 0, 0.373000, 2458400.541333795059, 106.39100, 28.61700, 286.39100, 61.38300, 286.39104, 61.38317, 271.65936, +44.43188, 271.66060, +44.43194, 3097574.39, -3548404.31, 4423232.33, 43.389594, -81.363794, 93456.76, 105860.61, 8506.91, 8462.31, 36.39, 22807.49, 22590.68, 0.22, -0.24, 0.63, None, None 12, 1, 0, 0.404000, 2458400.541334154084, 106.23800, 28.61200, 286.23800, 61.38800, 286.23764, 61.38646, 271.68754, +44.36125, 271.68662, +44.36076, 3097606.27, -3548046.97, 4422706.61, 43.387717, -81.360772, 92915.12, 105243.00, 9143.38, 9098.78, -5.62, 20531.13, 22486.03, -1.90, 2.13, 5.59, None, None 13, 1, 0, 0.436000, 2458400.541334524285, 106.11300, 28.61000, 286.11300, 61.39000, 286.11251, 61.38786, 271.70784, +44.30315, 271.70625, +44.30246, 3097631.84, -3547760.35, 4422284.94, 43.386212, -81.358379, 92480.65, 104748.81, 9653.88, 9609.28, -195.48, 15953.27, 22235.43, -2.62, 2.94, 7.76, 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.