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: 2458400.505462963134 Time: 2018-10-09 00:07:52.000015 UTC Plane intersections ------------------- Intersection 1 - Stations: 1 and 2 Convergence angle = 43.75457 deg R.A. = 266.42190 Dec = +56.21042 deg Best intersection: Stations 1 and 2 with Qconv = 43.75 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 2211414.86 +/- 1.88 m Y = -4115148.46 +/- 7.92 m Z = 4470851.62 +/- 16.43 m Vx = -1117.85 +/- 3.39 m/s Vy = -12954.00 +/- 9.78 m/s Vz = 19168.75 +/- 39.49 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +3.560438e+00, +7.401409e+00, -8.599778e+00, +8.439305e+00, +9.013862e+00, -7.619327e+00 +7.401409e+00, +6.305468e+01, -1.108053e+02, +9.701865e+00, +5.235724e+01, -1.119525e+02 -8.599778e+00, -1.108053e+02, +2.713183e+02, -4.077354e+00, -1.051188e+02, +4.035266e+02 +8.439305e+00, +9.701865e+00, -4.077354e+00, +2.702366e+01, +3.294933e+01, -2.470526e+01 +9.013862e+00, +5.235724e+01, -1.051188e+02, +3.294933e+01, +2.514920e+02, -4.614787e+02 -7.619327e+00, -1.119525e+02, +4.035266e+02, -2.470526e+01, -4.614787e+02, +1.422177e+03 Timing offsets (from input data): 1: 0.000000 s 2: 0.000173 s Reference point on the trajectory: Time: 2018-10-09 00:07:52.000015 UTC Lon = -81.281354 +/- 0.0001 deg Lat = +43.930823 +/- 0.0001 deg Lat geo = +43.741484 +/- 0.0001 deg Ht = 98470.00 +/- 15.67 m JD dynamic = 2458400.506263704039 LST apparent = 298.2528719798 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 265.06795 +/- 0.0214 deg Dec = +55.85100 +/- 0.0350 deg Azimuth = +311.31481 +/- 0.0851 deg Elevation = +65.85362 +/- 0.0125 deg Vavg = 22.16111 +/- 0.0257 km/s Vinit = 23.16239 +/- 0.0381 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 266.34238 +/- 0.0214 deg Dec = +56.22789 +/- 0.0350 deg Azimuth = +312.71230 +/- 0.0851 deg Elevation = +66.42753 +/- 0.0125 deg Vavg = 22.05872 +/- 0.0257 km/s Vinit = 23.06000 +/- 0.0381 km/s Radiant (geocentric, J2000): R.A. = 262.20028 +/- 0.0246 deg Dec = +56.27264 +/- 0.0363 deg Vg = 20.32769 +/- 0.0436 km/s Vinf = 23.16239 +/- 0.0381 km/s Zc = 24.27178 +/- 0.0126 deg Zg = 25.87781 +/- 0.0118 deg Radiant (ecliptic geocentric, J2000): Lg = 246.57395 +/- 0.0635 deg Bg = +79.07439 +/- 0.0369 deg Vh = 38.46484 +/- 0.0232 km/s Radiant (ecliptic heliocentric, J2000): Lh = 282.05556 +/- 0.0101 deg Bh = +31.26104 +/- 0.0582 deg Vh_x = -6.86736 +/- 0.0048 km/s Vh_y = 32.15504 +/- 0.0090 km/s Vh_z = -19.96087 +/- 0.0445 km/s Orbit: La Sun = 195.401553 +/- 0.0000 deg a = 2.993172 +/- 0.0164 AU e = 0.667258 +/- 0.0020 i = 31.304449 +/- 0.0582 deg peri = 172.853503 +/- 0.0259 deg node = 195.402523 +/- 0.0000 deg Pi = 8.256027 +/- 0.0259 deg q = 0.995954 +/- 0.0000 AU f = 7.144235 +/- 0.0259 deg M = 1.064186 +/- 0.0132 deg Q = 4.990390 +/- 0.0328 AU n = 0.190330 +/- 0.0018 deg/day T = 5.178431 +/- 0.0416 years Last perihelion JD = 2458394.914985 (2018-10-03 09:57:34.688805) +/- 0.0222 days Tj = 2.703968 +/- 0.0104 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +4.085835e-06, +1.005747e-08, +2.692556e-05, -1.464387e-10, +4.431674e-07, +1.888282e-06 q , +1.005747e-08, +4.050956e-10, +4.142127e-07, -7.771760e-13, +8.835217e-09, +9.952378e-09 Tp , +2.692556e-05, +4.142127e-07, +4.957415e-04, -1.346629e-09, +1.000519e-05, +1.730063e-05 node, -1.464387e-10, -7.771760e-13, -1.346629e-09, +6.340059e-15, -2.437449e-11, -8.161024e-11 peri, +4.431674e-07, +8.835217e-09, +1.000519e-05, -2.437449e-11, +2.057589e-07, +3.128869e-07 i , +1.888282e-06, +9.952378e-09, +1.730063e-05, -8.161024e-11, +3.128869e-07, +1.050547e-06 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = 16.399125 a2 = 6.596207 Mean time residuals from time vs. length: Station with reference time: 1 Avg. res. = 4.730e-06 s Stddev = 2.17e-03 s Begin point on the trajectory: Lon = -81.281331 +/- 0.0000 deg Lat = 43.930808 +/- 0.0001 deg Ht = 98464.47 +/- 10.15 m End point on the trajectory: Lon = -81.236810 +/- 0.0000 deg Lat = 43.901017 +/- 0.0000 deg Ht = 87131.41 +/- 6.89 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, 7.821757, 7.433343, 98447.00, 87138.75, 0.002376, 4.23, 2.78, 19.50, 1.0000, None, None 2, False, -81.315700, 43.192800, 320.00, 4.925066, 8.476304, 97008.75, 88200.77, 0.001014, 1.05, 1.91, 29.39, 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, 2458400.505462963134, 151.14300, 41.40000, 331.14300, 48.60000, 331.14029, 48.59919, 233.82746, +69.36900, 233.82481, +69.36727, 2211423.04, -4115136.95, 4470824.99, 43.930691, -81.281199, 98447.00, 130043.19, 0.00, 6.71, -19.25, 0.00, 22904.13, -2.46, 3.73, 7.09, None, None 1, 1, 0, 0.062000, 2458400.505463680718, 151.26400, 41.60000, 331.26400, 48.40000, 331.26116, 48.39916, 233.27535, +69.46254, 233.27287, +69.46071, 2211492.06, -4114320.86, 4469618.93, 43.927212, -81.275973, 97116.08, 128675.61, 1457.85, 1464.56, 22.65, 23513.71, 22904.13, -2.55, 3.87, 7.44, None, None 2, 1, 0, 0.093000, 2458400.505464039743, 151.31400, 41.68900, 331.31400, 48.31100, 331.31327, 48.31078, 233.02783, +69.50124, 233.02752, +69.50077, 2211522.00, -4113966.85, 4469095.75, 43.925702, -81.273723, 96538.73, 128083.37, 2090.26, 2096.97, -52.92, 20400.29, 22904.13, -0.65, 0.99, 1.91, None, None 3, 1, 0, 0.124000, 2458400.505464398302, 151.37500, 41.79900, 331.37500, 48.20100, 331.37871, 48.20210, 232.72070, +69.54822, 232.72476, +69.55063, 2211558.57, -4113534.52, 4468456.82, 43.923857, -81.270946, 95833.67, 127359.84, 2862.58, 2869.29, 11.42, 24913.54, 22904.13, 3.31, -5.02, 9.74, None, None 4, 1, 0, 0.155000, 2458400.505464757327, 151.43700, 41.90300, 331.43700, 48.09700, 331.44065, 48.09808, 232.42963, +69.59519, 232.43374, +69.59756, 2211593.14, -4113125.80, 4467852.80, 43.922113, -81.268328, 95167.12, 126676.51, 3592.71, 3599.42, 33.57, 23552.62, 23083.76, 3.24, -4.93, 9.60, None, None 5, 1, 0, 0.187000, 2458400.505465127528, 151.50200, 42.01000, 331.50200, 47.99000, 331.50426, 47.99067, 232.12906, +69.64398, 232.13197, +69.64546, 2211628.43, -4112708.52, 4467236.11, 43.920332, -81.265656, 94486.61, 125979.38, 4338.14, 4344.86, 48.19, 23294.78, 23174.21, 2.00, -3.04, 5.95, None, None 6, 1, 0, 0.218000, 2458400.505465486087, 151.56300, 42.11200, 331.56300, 47.88800, 331.56435, 47.88840, 231.84129, +69.68954, 231.84347, +69.69042, 2211661.64, -4112315.77, 4466655.69, 43.918655, -81.263144, 93846.11, 125323.81, 5039.74, 5046.46, 41.81, 22632.31, 23162.73, 1.19, -1.81, 3.56, None, None 7, 1, 0, 0.249000, 2458400.505465845112, 151.61800, 42.20400, 331.61800, 47.79600, 331.61768, 47.79591, 231.58077, +69.73035, 231.58152, +69.73014, 2211691.32, -4111964.88, 4466137.13, 43.917157, -81.260913, 93273.88, 124738.85, 5666.57, 5673.28, -39.35, 20220.14, 22944.55, -0.28, 0.42, 0.84, None, None 8, 1, 0, 0.280000, 2458400.505466203671, 151.68200, 42.31400, 331.68200, 47.68600, 331.68211, 47.68603, 231.26796, +69.77762, 231.26923, +69.77769, 2211726.31, -4111551.22, 4465525.80, 43.915390, -81.258259, 92599.29, 124049.13, 6405.53, 6412.24, -8.37, 23837.36, 22888.13, 0.09, -0.14, 0.28, None, None 9, 1, 0, 0.311000, 2458400.505466562696, 151.74100, 42.41700, 331.74100, 47.58300, 331.74158, 47.58317, 230.97384, +69.82091, 230.97568, +69.82130, 2211758.66, -4111168.72, 4464960.51, 43.913756, -81.255815, 91975.50, 123412.07, 7088.83, 7095.55, -33.04, 22042.16, 22815.94, 0.51, -0.77, 1.55, None, None 10, 1, 0, 0.342000, 2458400.505466921255, 151.80200, 42.52300, 331.80200, 47.47700, 331.80274, 47.47722, 230.67001, +69.86531, 230.67212, +69.86581, 2211791.64, -4110778.77, 4464384.22, 43.912089, -81.253321, 91339.58, 122763.02, 7785.43, 7792.15, -44.42, 22470.94, 22760.50, 0.64, -0.98, 1.97, None, None 11, 1, 0, 0.373000, 2458400.505467280280, 151.85200, 42.61000, 331.85200, 47.39000, 331.85157, 47.38987, 230.41977, +69.90144, 230.42093, +69.90115, 2211818.46, -4110461.66, 4463915.57, 43.910734, -81.251316, 90822.42, 122236.17, 8351.93, 8358.64, -185.90, 18274.03, 22566.62, -0.37, 0.57, 1.15, None, None 12, 1, 0, 0.404000, 2458400.505467638839, 151.91200, 42.71000, 331.91200, 47.29000, 331.90880, 47.28906, 230.13126, +69.94438, 230.13006, +69.94223, 2211849.20, -4110098.17, 4463378.39, 43.909180, -81.248999, 90229.65, 121632.18, 9001.26, 9007.98, -244.54, 20946.28, 22396.23, -2.76, 4.20, 8.52, None, None 13, 1, 0, 0.435000, 2458400.505467997864, 151.97700, 42.81900, 331.97700, 47.18100, 331.97139, 47.17935, 229.81553, +69.99056, 229.81234, +69.98677, 2211882.34, -4109706.30, 4462799.27, 43.907504, -81.246490, 89590.61, 120981.28, 9701.29, 9708.00, -252.50, 22581.47, 22291.99, -4.81, 7.33, 14.95, None, None 14, 1, 0, 0.467000, 2458400.505468368065, 152.04200, 42.93200, 332.04200, 47.06800, 332.03562, 47.06612, 229.48682, +70.03640, 229.48311, +70.03208, 2211916.16, -4109306.44, 4462208.32, 43.905794, -81.243932, 88938.53, 120317.64, 10415.61, 10422.32, -269.00, 22322.43, 22223.70, -5.45, 8.31, 17.04, None, None 15, 1, 0, 0.498000, 2458400.505468727089, 152.10000, 43.04000, 332.10000, 46.96000, 332.09597, 46.95881, 229.17134, +70.07700, 229.16988, +70.07426, 2211947.84, -4108931.82, 4461654.70, 43.904191, -81.241539, 88327.62, 119696.51, 11084.82, 11091.53, -307.76, 21587.47, 22164.06, -3.43, 5.23, 10.79, None, None 16, 1, 0, 0.529000, 2458400.505469085649, 152.14800, 43.12900, 332.14800, 46.87100, 332.14439, 46.86994, 228.91051, +70.11031, 228.90957, +70.10784, 2211973.74, -4108625.65, 4461202.22, 43.902881, -81.239606, 87828.30, 119189.81, 11631.76, 11638.47, -468.80, 17643.27, 22037.31, -3.07, 4.68, 9.68, None, None 17, 1, 0, 0.560000, 2458400.505469444674, 152.21900, 43.25200, 332.21900, 46.74800, 332.21417, 46.74658, 228.54875, +70.15908, 228.54691, +70.15576, 2212009.50, -4108202.80, 4460577.30, 43.901071, -81.236888, 87138.75, 118489.30, 12387.15, 12393.86, -421.39, 24367.49, 21987.18, -4.08, 6.23, 12.97, None, None 0, 2, 0, 0.068151, 2458400.505463756621, 182.26200, 40.75600, 2.26200, 49.24400, 2.26315, 49.24461, 311.91043, +83.75047, 311.91588, +83.74968, 2211497.63, -4114255.05, 4469521.67, 43.926931, -81.275559, 97008.75, 126939.89, 0.00, 1582.13, -0.26, 0.00, 22930.39, 1.87, -1.04, 3.48, None, None 1, 2, 0, 0.099151, 2458400.505464115180, 182.40100, 40.87200, 2.40100, 49.12800, 2.40085, 49.12792, 313.01302, +83.83708, 313.01278, +83.83719, 2211528.86, -4113885.78, 4468975.94, 43.925356, -81.273206, 96406.52, 126369.88, 659.67, 2241.79, -48.57, 21279.62, 22930.39, -0.24, 0.13, 0.45, None, None 2, 2, 0, 0.130151, 2458400.505464474205, 182.57200, 41.01500, 2.57200, 48.98500, 2.57071, 48.98432, 314.41733, +83.94032, 314.41223, +83.94123, 2211566.84, -4113436.65, 4468312.19, 43.923440, -81.270316, 95674.07, 125677.81, 1461.99, 3044.12, 45.78, 25881.43, 22930.39, -2.09, 1.16, 3.92, None, None 3, 2, 0, 0.162151, 2458400.505464844406, 182.70800, 41.13700, 2.70800, 48.86300, 2.71032, 48.86422, 315.59802, +84.02725, 315.60863, +84.02559, 2211598.25, -4113065.29, 4467763.37, 43.921855, -81.267953, 95068.44, 125106.46, 2125.39, 3707.51, -21.64, 20731.15, 22930.39, 3.74, -2.06, 7.04, None, None 4, 2, 0, 0.193151, 2458400.505465203431, 182.85500, 41.26300, 2.85500, 48.73700, 2.85674, 48.73792, 316.89630, +84.11247, 316.90442, +84.11120, 2211630.93, -4112678.93, 4467192.39, 43.920206, -81.265484, 94438.36, 124512.99, 2815.58, 4397.70, -39.44, 22264.13, 22671.69, 2.80, -1.55, 5.30, None, None 5, 2, 0, 0.224151, 2458400.505465561990, 183.02500, 41.40700, 3.02500, 48.59300, 3.02473, 48.59286, 318.44244, +84.20512, 318.44226, +84.20533, 2211668.01, -4112240.45, 4466544.38, 43.918333, -81.262664, 93723.28, 123840.68, 3598.88, 5181.01, 35.89, 25267.85, 22964.95, -0.44, 0.24, 0.83, None, None 6, 2, 0, 0.255151, 2458400.505465921015, 183.17300, 41.53600, 3.17300, 48.46400, 3.17240, 48.46368, 319.84704, +84.28520, 319.84573, +84.28565, 2211700.66, -4111854.50, 4465973.99, 43.916685, -81.260198, 93093.87, 123249.90, 4288.35, 5870.47, 17.38, 22240.87, 22993.20, -0.96, 0.53, 1.83, None, None 7, 2, 0, 0.286151, 2458400.505466279574, 183.32800, 41.67400, 3.32800, 48.32600, 3.32870, 48.32637, 321.37655, +84.36751, 321.38041, +84.36698, 2211734.96, -4111448.86, 4465374.52, 43.914952, -81.257598, 92432.36, 122630.08, 5012.98, 6595.10, 34.03, 23375.11, 23036.59, 1.11, -0.61, 2.14, None, None 8, 2, 0, 0.317151, 2458400.505466638599, 183.47500, 41.80200, 3.47500, 48.19800, 3.47395, 48.19745, 322.85812, +84.43881, 322.85559, +84.43962, 2211766.82, -4111072.23, 4464817.91, 43.913343, -81.255194, 91818.15, 122055.53, 5685.79, 7267.92, -1.14, 21703.70, 22968.67, -1.67, 0.92, 3.22, None, None 9, 2, 0, 0.348151, 2458400.505466997158, 183.59100, 41.90900, 3.59100, 48.09100, 3.59154, 48.09128, 324.08589, +84.49740, 324.08926, +84.49698, 2211792.80, -4110764.98, 4464363.84, 43.912030, -81.253255, 91317.07, 121587.46, 6234.66, 7816.78, -160.25, 17705.45, 22648.64, 0.85, -0.47, 1.65, None, None 10, 2, 0, 0.379151, 2458400.505467356183, 183.74500, 42.04400, 3.74500, 47.95600, 3.74336, 47.95514, 325.72172, +84.56471, 325.71782, +84.56600, 2211825.78, -4110375.10, 4463787.65, 43.910364, -81.250761, 90681.26, 120994.56, 6931.15, 8513.27, -171.74, 22467.37, 22465.49, -2.57, 1.42, 5.01, None, None 11, 2, 0, 0.410151, 2458400.505467714742, 183.89100, 42.17800, 3.89100, 47.82200, 3.89077, 47.82188, 327.34644, +84.62903, 327.34743, +84.62922, 2211857.70, -4109997.63, 4463229.80, 43.908750, -81.248349, 90065.69, 120421.54, 7605.46, 9187.59, -205.40, 21752.01, 22332.32, -0.36, 0.20, 0.71, None, None 12, 2, 0, 0.442151, 2458400.505468085408, 184.02700, 42.30400, 4.02700, 47.69600, 4.02789, 47.69646, 328.90415, +84.68560, 328.90862, +84.68488, 2211887.44, -4109646.03, 4462710.19, 43.907246, -81.246116, 89492.31, 119888.65, 8233.55, 9815.68, -308.13, 19627.82, 22159.57, 1.38, -0.76, 2.72, None, None 13, 2, 0, 0.473151, 2458400.505468443967, 184.20300, 42.46000, 4.20300, 47.54000, 4.20096, 47.53894, 330.92692, +84.74655, 330.92343, +84.74821, 2211924.35, -4109209.66, 4462065.30, 43.905380, -81.243308, 88780.72, 119228.69, 9013.08, 10595.20, -236.58, 25146.00, 22136.38, -3.17, 1.75, 6.26, None, None 14, 2, 0, 0.504151, 2458400.505468802992, 184.34100, 42.59100, 4.34100, 47.40900, 4.34125, 47.40913, 332.60567, +84.79614, 332.60839, +84.79593, 2211954.42, -4108854.04, 4461539.74, 43.903858, -81.241042, 88200.77, 118691.76, 9648.36, 11230.49, -309.27, 20493.08, 22080.40, 0.39, -0.22, 0.78, 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.