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: 2458400.527800926007 Time: 2018-10-09 00:40:02.000007 UTC Plane intersections ------------------- Intersection 1 - Stations: 1 and 2 Convergence angle = 73.05176 deg R.A. = 266.89352 Dec = +56.45589 deg Best intersection: Stations 1 and 2 with Qconv = 73.05 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 2782225.52 +/- 1.13 m Y = -3806392.84 +/- 6.49 m Z = 4431290.33 +/- 7.01 m Vx = -1024.93 +/- 6.51 m/s Vy = -13115.26 +/- 10.01 m/s Vz = 19469.69 +/- 22.04 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +1.282909e+00, +5.415921e+00, -5.839343e+00, +5.506204e+00, -9.032730e+00, +1.934745e+01 +5.415921e+00, +4.235538e+01, -4.510137e+01, +1.824624e+01, -2.445827e+01, +7.608931e+01 -5.839343e+00, -4.510137e+01, +4.937231e+01, -1.940989e+01, +2.669895e+01, -7.942822e+01 +5.506204e+00, +1.824624e+01, -1.940989e+01, +4.373658e+01, -7.527817e+01, +1.412473e+02 -9.032730e+00, -2.445827e+01, +2.669895e+01, -7.527817e+01, +1.317353e+02, -2.380729e+02 +1.934745e+01, +7.608931e+01, -7.942822e+01, +1.412473e+02, -2.380729e+02, +4.685252e+02 Timing offsets (from input data): 1: 0.000000 s 2: -0.001023 s Reference point on the trajectory: Time: 2018-10-09 00:40:02.000007 UTC Lon = -81.433535 +/- 0.0001 deg Lat = +43.413532 +/- 0.0000 deg Lat geo = +43.224477 +/- 0.0000 deg Ht = 102329.32 +/- 8.24 m JD dynamic = 2458400.528601666912 LST apparent = 306.1643742158 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 265.53155 +/- 0.0322 deg Dec = +55.95396 +/- 0.0105 deg Azimuth = +310.36448 +/- 0.0260 deg Elevation = +61.41279 +/- 0.0167 deg Vavg = 22.22983 +/- 0.0077 km/s Vinit = 23.49744 +/- 0.0237 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 266.68745 +/- 0.0322 deg Dec = +56.40336 +/- 0.0105 deg Azimuth = +311.52608 +/- 0.0260 deg Elevation = +61.97179 +/- 0.0167 deg Vavg = 22.10667 +/- 0.0077 km/s Vinit = 23.37428 +/- 0.0237 km/s Radiant (geocentric, J2000): R.A. = 262.16211 +/- 0.0413 deg Dec = +56.21249 +/- 0.0113 deg Vg = 20.71051 +/- 0.0269 km/s Vinf = 23.49744 +/- 0.0237 km/s Zc = 28.70998 +/- 0.0167 deg Zg = 30.55859 +/- 0.0219 deg Radiant (ecliptic geocentric, J2000): Lg = 246.55706 +/- 0.1051 deg Bg = +79.01069 +/- 0.0160 deg Vh = 38.72373 +/- 0.0179 km/s Radiant (ecliptic heliocentric, J2000): Lh = 281.97790 +/- 0.0102 deg Bh = +31.67242 +/- 0.0314 deg Vh_x = -6.83958 +/- 0.0066 km/s Vh_y = 32.23884 +/- 0.0038 km/s Vh_z = -20.33236 +/- 0.0274 km/s Orbit: La Sun = 195.423619 +/- -0.0000 deg a = 3.209533 +/- 0.0166 AU e = 0.689719 +/- 0.0016 i = 31.718795 +/- 0.0312 deg peri = 172.816086 +/- 0.0329 deg node = 195.424499 +/- 0.0000 deg Pi = 8.240585 +/- 0.0329 deg q = 0.995857 +/- 0.0000 AU f = 7.181796 +/- 0.0329 deg M = 0.956947 +/- 0.0117 deg Q = 5.423210 +/- 0.0332 AU n = 0.171412 +/- 0.0013 deg/day T = 5.749942 +/- 0.0450 years Last perihelion JD = 2458394.945872 (2018-10-03 10:42:03.359826) +/- 0.0279 days Tj = 2.588892 +/- 0.0080 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +2.445312e-06, +3.892858e-08, +4.380549e-05, -5.877286e-11, +8.996150e-07, +8.390895e-07 q , +3.892858e-08, +6.273867e-10, +7.040883e-07, -9.570688e-13, +1.447361e-08, +1.366254e-08 Tp , +4.380549e-05, +7.040883e-07, +7.906313e-04, -1.071666e-09, +1.624919e-05, +1.529880e-05 node, -5.877286e-11, -9.570688e-13, -1.071666e-09, +1.473513e-15, -2.204780e-11, -2.103322e-11 peri, +8.996150e-07, +1.447361e-08, +1.624919e-05, -2.204780e-11, +3.339821e-07, +3.147460e-07 i , +8.390895e-07, +1.366254e-08, +1.529880e-05, -2.103322e-11, +3.147460e-07, +3.002334e-07 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = 21.158004 a2 = 5.183022 Mean time residuals from time vs. length: Station with reference time: 1 Avg. res. = 2.870e-05 s Stddev = 5.36e-03 s Begin point on the trajectory: Lon = -81.433524 +/- 0.0001 deg Lat = 43.413526 +/- 0.0000 deg Ht = 102327.17 +/- 7.43 m End point on the trajectory: Lon = -81.362245 +/- 0.0000 deg Lat = 43.367317 +/- 0.0000 deg Ht = 87590.49 +/- 13.89 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, 0.000000, 0.000000, 102327.17, 98689.03, 0.002209, 2.31, 3.73, 11.69, 1.0000, None, None 2, False, -81.315700, 43.192800, 320.00, 24.802432, 4.956874, 100983.37, 87590.49, 0.001316, 2.02, 1.03, 16.31, 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, 2458400.527800926007, 107.41500, 29.27600, 287.41500, 60.72400, 287.41494, 60.72416, 265.72618, +44.78134, 265.72641, +44.78134, 2782225.63, -3806391.47, 4431288.31, 43.413526, -81.433524, 102327.17, 116645.31, 0.00, 2.44, 216.51, 0.00, 21796.12, 0.28, -0.17, 0.58, None, None 1, 1, 0, 0.031000, 2458400.527801285032, 107.28300, 29.29400, 287.28300, 60.70600, 287.28254, 60.70712, 265.72005, +44.71445, 265.72179, +44.71446, 2782255.01, -3806015.51, 4430730.19, 43.411676, -81.430669, 101735.71, 115989.49, 673.58, 676.02, 161.67, 21728.32, 21796.12, 1.97, -1.22, 4.12, None, None 2, 1, 0, 0.063000, 2458400.527801655233, 107.17100, 29.31000, 287.17100, 60.69000, 287.17027, 60.69177, 265.71401, +44.65751, 265.71682, +44.65753, 2782279.56, -3805701.38, 4430263.87, 43.410131, -81.428309, 101241.54, 115442.60, 1236.37, 1238.82, -27.45, 17587.29, 21796.12, 3.09, -1.92, 6.50, None, None 3, 1, 0, 0.094000, 2458400.527802013792, 107.00000, 29.33200, 287.00000, 60.66800, 286.99896, 60.67046, 265.70843, +44.57102, 265.71235, +44.57105, 2782317.00, -3805222.31, 4429552.68, 43.407773, -81.424634, 100487.89, 114605.95, 2094.68, 2097.13, 102.44, 27687.54, 21796.12, 4.27, -2.65, 9.04, None, None 4, 1, 0, 0.125000, 2458400.527802372817, 106.88200, 29.34800, 286.88200, 60.65200, 286.88102, 60.65431, 265.70366, +44.51113, 265.70749, +44.51115, 2782342.27, -3804898.88, 4429072.55, 43.406181, -81.422195, 99979.10, 114042.86, 2674.14, 2676.58, -46.53, 18692.07, 21623.41, 3.98, -2.47, 8.48, None, None 5, 1, 0, 0.156000, 2458400.527802731376, 106.71800, 29.37000, 286.71800, 60.63000, 286.71662, 60.63319, 265.69764, +44.42788, 265.70286, +44.42790, 2782377.38, -3804449.56, 4428405.53, 43.403969, -81.418756, 99272.28, 113258.87, 3479.14, 3481.59, 30.06, 25967.89, 22187.83, 5.48, -3.40, 11.75, None, None 6, 1, 0, 0.187000, 2458400.527803090401, 106.58000, 29.38800, 286.58000, 60.61200, 286.57887, 60.61459, 265.69352, +44.35789, 265.69801, +44.35791, 2782406.36, -3804078.80, 4427855.13, 43.402143, -81.415941, 98689.03, 112612.98, 4143.41, 4145.86, -34.10, 21427.99, 22310.01, 4.43, -2.75, 9.55, None, None 0, 2, 0, 0.082381, 2458400.527801877353, 159.45600, 14.54800, 339.45600, 75.45200, 339.44713, 75.45474, 297.08939, +56.51139, 297.08846, +56.50792, 2782292.38, -3805537.28, 4430020.25, 43.409323, -81.427086, 100983.37, 103942.24, 0.00, 1532.83, -188.85, 0.00, 25209.61, 2.91, 5.71, 12.72, None, None 1, 2, 0, 0.113381, 2458400.527802235913, 159.96000, 14.44100, 339.96000, 75.55900, 339.95694, 75.55996, 297.38129, +56.47404, 297.38131, +56.47285, 2782337.20, -3804963.76, 4429168.87, 43.406501, -81.422661, 100081.17, 102963.05, 1027.51, 2560.34, 110.24, 33145.61, 25209.61, 1.00, 1.96, 4.41, None, None 2, 2, 0, 0.144381, 2458400.527802594937, 160.30500, 14.36900, 340.30500, 75.63100, 340.30471, 75.63109, 297.57858, +56.44818, 297.57914, +56.44807, 2782367.56, -3804575.28, 4428592.17, 43.404588, -81.419706, 99470.05, 102300.54, 1723.52, 3256.34, 77.83, 22451.73, 25209.61, 0.09, 0.19, 0.42, None, None 3, 2, 0, 0.175381, 2458400.527802953497, 160.63400, 14.30200, 340.63400, 75.69800, 340.63492, 75.69771, 297.76425, +56.42395, 297.76512, +56.42431, 2782395.89, -3804212.78, 4428054.02, 43.402803, -81.416956, 98899.79, 101682.72, 2372.99, 3905.82, -1.12, 20950.81, 25209.61, -0.30, -0.58, 1.32, None, None 4, 2, 0, 0.206381, 2458400.527803312521, 161.01300, 14.22500, 341.01300, 75.77500, 341.01811, 75.77337, 297.97664, +56.39496, 297.97829, +56.39697, 2782427.78, -3803804.62, 4427448.11, 43.400793, -81.413843, 98257.74, 100987.42, 3104.24, 4637.07, 1.71, 23588.68, 24367.62, -1.64, -3.24, 7.41, None, None 5, 2, 0, 0.237381, 2458400.527803671081, 161.40800, 14.14900, 341.40800, 75.85100, 341.41206, 75.84970, 298.19321, +56.36720, 298.19484, +56.36880, 2782459.78, -3803395.19, 4426840.31, 43.398776, -81.410719, 97613.69, 100290.39, 3837.79, 5370.61, 6.84, 23662.79, 24026.36, -1.30, -2.56, 5.90, None, None 6, 2, 0, 0.269381, 2458400.527804041747, 161.79500, 14.07700, 341.79500, 75.92300, 341.79554, 75.92283, 298.40211, +56.34089, 298.40332, +56.34110, 2782490.34, -3803004.15, 4426259.80, 43.396849, -81.407746, 96998.57, 99625.15, 4538.38, 6071.21, -44.49, 21893.57, 23667.79, -0.17, -0.34, 0.78, None, None 7, 2, 0, 0.300381, 2458400.527804400306, 162.23500, 13.99600, 342.23500, 76.00400, 342.23381, 76.00439, 298.63731, +56.31019, 298.63837, +56.30972, 2782524.14, -3802571.65, 4425617.76, 43.394717, -81.404438, 96318.27, 98889.79, 5313.25, 6846.07, 1.95, 24995.59, 23630.48, 0.38, 0.74, 1.74, None, None 8, 2, 0, 0.331381, 2458400.527804759331, 162.64100, 13.92000, 342.64100, 76.08000, 342.64321, 76.07927, 298.85362, +56.27924, 298.85537, +56.28012, 2782555.08, -3802175.68, 4425029.93, 43.392765, -81.401421, 95695.41, 98217.06, 6022.68, 7555.51, -17.03, 22884.98, 23563.66, -0.70, -1.38, 3.25, None, None 9, 2, 0, 0.362381, 2458400.527805117890, 163.02500, 13.85100, 343.02500, 76.14900, 343.02696, 76.14835, 299.05474, +56.25134, 299.05658, +56.25213, 2782583.57, -3801811.20, 4424488.86, 43.390967, -81.398653, 95122.10, 97598.29, 6675.68, 8208.51, -92.45, 21064.49, 23394.06, -0.62, -1.22, 2.90, None, None 10, 2, 0, 0.393381, 2458400.527805476915, 163.41200, 13.78400, 343.41200, 76.21600, 343.41114, 76.21629, 299.25432, +56.22434, 299.25582, +56.22400, 2782611.49, -3801453.87, 4423958.40, 43.389205, -81.395942, 94560.03, 96992.04, 7315.88, 8848.71, -180.67, 20651.77, 23177.54, 0.27, 0.54, 1.28, None, None 11, 2, 0, 0.424381, 2458400.527805835474, 163.88100, 13.70400, 343.88100, 76.29600, 343.87860, 76.29682, 299.49360, +56.19112, 299.49496, +56.19015, 2782644.34, -3801033.58, 4423334.49, 43.387131, -81.392729, 93898.97, 96279.38, 8068.87, 9601.69, -156.11, 24289.76, 23095.10, 0.76, 1.49, 3.58, None, None 12, 2, 0, 0.455381, 2458400.527806194499, 164.30100, 13.63100, 344.30100, 76.36900, 344.30229, 76.36856, 299.70708, +56.15861, 299.70921, +56.15913, 2782673.57, -3800659.48, 4422779.12, 43.385285, -81.389884, 93310.53, 95645.55, 8739.12, 10271.94, -214.28, 21620.99, 22996.87, -0.41, -0.80, 1.94, None, None 13, 2, 0, 0.486381, 2458400.527806553058, 164.72100, 13.56100, 344.72100, 76.43900, 344.72275, 76.43839, 299.91703, +56.12753, 299.91938, +56.12824, 2782701.96, -3800296.14, 4422239.75, 43.383492, -81.387124, 92739.04, 95030.39, 9390.08, 10922.90, -291.74, 20998.74, 22878.25, -0.55, -1.08, 2.64, None, None 14, 2, 0, 0.517381, 2458400.527806912083, 165.15800, 13.49400, 345.15800, 76.50600, 345.15169, 76.50821, 300.13029, +56.09925, 300.13129, +56.09667, 2782730.28, -3799933.82, 4421701.88, 43.381703, -81.384372, 92169.15, 94417.37, 10039.22, 11572.05, -371.02, 20940.02, 22752.82, 1.98, 3.91, 9.57, None, None 15, 2, 0, 0.549381, 2458400.527807282284, 165.62300, 13.41900, 345.62300, 76.58100, 345.61868, 76.58253, 300.35767, +56.06410, 300.35915, +56.06232, 2782760.33, -3799549.33, 4421131.10, 43.379804, -81.381447, 91564.40, 93767.30, 10728.08, 12260.90, -434.07, 21526.84, 22640.73, 1.35, 2.67, 6.59, None, None 16, 2, 0, 0.580381, 2458400.527807641309, 166.03500, 13.35400, 346.03500, 76.64600, 346.03174, 76.64717, 300.55670, +56.03299, 300.55850, +56.03164, 2782786.47, -3799214.74, 4420634.41, 43.378152, -81.378914, 91038.14, 93202.06, 11327.52, 12860.34, -563.05, 19336.81, 22499.35, 1.02, 2.02, 5.00, None, None 17, 2, 0, 0.611381, 2458400.527807999868, 166.53400, 13.27700, 346.53400, 76.72300, 346.53288, 76.72341, 300.79481, +55.99530, 300.79715, +55.99484, 2782817.16, -3798822.12, 4420051.55, 43.376212, -81.375920, 90420.62, 92539.16, 12030.95, 13563.78, -588.04, 22691.31, 22403.61, 0.35, 0.69, 1.73, None, None 18, 2, 0, 0.642381, 2458400.527808358893, 166.97800, 13.21100, 346.97800, 76.78900, 346.97616, 76.78968, 301.00354, +55.96268, 301.00586, +55.96191, 2782843.87, -3798480.22, 4419544.00, 43.374523, -81.373329, 89882.86, 91962.41, 12643.49, 14176.32, -703.92, 19759.51, 22293.54, 0.58, 1.14, 2.87, None, None 19, 2, 0, 0.673381, 2458400.527808717452, 167.47400, 13.13900, 347.47400, 76.86100, 347.47169, 76.86186, 301.23389, +55.92627, 301.23623, +55.92530, 2782872.90, -3798108.75, 4418992.56, 43.372687, -81.370502, 89298.62, 91336.19, 13309.02, 14841.85, -766.81, 21468.66, 22201.64, 0.73, 1.43, 3.63, None, None 20, 2, 0, 0.704381, 2458400.527809076477, 168.02100, 13.06000, 348.02100, 76.94000, 348.02162, 76.93976, 301.48535, +55.88456, 301.48842, +55.88482, 2782904.18, -3797708.48, 4418398.35, 43.370708, -81.367445, 88669.10, 90661.97, 14026.15, 15558.98, -778.11, 23133.13, 22145.65, -0.20, -0.39, 0.99, None, None 21, 2, 0, 0.735381, 2458400.527809435036, 168.47500, 12.99700, 348.47500, 77.00300, 348.47511, 77.00296, 301.69097, +55.85089, 301.69406, +55.85094, 2782929.67, -3797382.42, 4417914.31, 43.369096, -81.364979, 88156.26, 90113.22, 14610.33, 16143.16, -922.35, 18844.52, 22064.63, -0.03, -0.07, 0.17, None, None 22, 2, 0, 0.766381, 2458400.527809794061, 168.99200, 12.92800, 348.99200, 77.07200, 348.99003, 77.07277, 301.92187, +55.81356, 301.92465, +55.81271, 2782957.78, -3797022.69, 4417380.29, 43.367317, -81.362245, 87590.49, 89508.26, 15254.82, 16787.65, -1006.27, 20790.15, 21989.18, 0.62, 1.23, 3.18, 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.