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: 2458400.518611111213 Time: 2018-10-09 00:26:48.000009 UTC Plane intersections ------------------- Intersection 1 - Stations: 2 and 1 Convergence angle = 51.18024 deg R.A. = 267.01112 Dec = +56.18606 deg Best intersection: Stations 2 and 1 with Qconv = 51.18 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 2552532.79 +/- 1.53 m Y = -3925630.98 +/- 4.72 m Z = 4460266.69 +/- 8.81 m Vx = -938.68 +/- 2.58 m/s Vy = -12438.79 +/- 12.22 m/s Vz = 18363.92 +/- 31.21 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +2.371621e+00, +2.392406e-01, -3.207722e+00, +5.367272e+00, +8.384704e+00, -1.615991e+01 +2.392406e-01, +2.250559e+01, -3.427278e+01, -4.435295e+00, -5.247369e+00, +9.581576e+00 -3.207722e+00, -3.427278e+01, +7.833559e+01, -1.813876e+00, -4.297357e+01, +1.142104e+02 +5.367272e+00, -4.435295e+00, -1.813876e+00, +2.261966e+01, +4.349090e+01, -9.390402e+01 +8.384704e+00, -5.247369e+00, -4.297357e+01, +4.349090e+01, +1.640306e+02, -4.047197e+02 -1.615991e+01, +9.581576e+00, +1.142104e+02, -9.390402e+01, -4.047197e+02, +1.015887e+03 Timing offsets (from input data): 2: 0.000000 s 1: 0.000111 s Reference point on the trajectory: Time: 2018-10-09 00:26:48.000009 UTC Lon = -81.247698 +/- 0.0000 deg Lat = +43.796744 +/- 0.0000 deg Lat geo = +43.607457 +/- 0.0000 deg Ht = 98935.20 +/- 8.51 m JD dynamic = 2458400.519411852118 LST apparent = 303.0328203697 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 265.68443 +/- 0.0187 deg Dec = +55.81269 +/- 0.0189 deg Azimuth = +310.18568 +/- 0.0406 deg Elevation = +63.49948 +/- 0.0118 deg Vavg = 22.08810 +/- 0.0208 km/s Vinit = 22.19996 +/- 0.0327 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 266.95206 +/- 0.0187 deg Dec = +56.25078 +/- 0.0189 deg Azimuth = +311.49433 +/- 0.0406 deg Elevation = +64.09927 +/- 0.0118 deg Vavg = 21.97404 +/- 0.0208 km/s Vinit = 22.08590 +/- 0.0327 km/s Radiant (geocentric, J2000): R.A. = 262.16958 +/- 0.0172 deg Dec = +56.16460 +/- 0.0191 deg Vg = 19.22411 +/- 0.0379 km/s Vinf = 22.19996 +/- 0.0327 km/s Zc = 26.62303 +/- 0.0118 deg Zg = 28.57057 +/- 0.0090 deg Radiant (ecliptic geocentric, J2000): Lg = 246.64912 +/- 0.0477 deg Bg = +78.96595 +/- 0.0193 deg Vh = 37.79021 +/- 0.0193 km/s Radiant (ecliptic heliocentric, J2000): Lh = 282.25048 +/- 0.0074 deg Bh = +29.95670 +/- 0.0503 deg Vh_x = -6.94729 +/- 0.0040 km/s Vh_y = 31.99601 +/- 0.0016 km/s Vh_z = -18.87036 +/- 0.0383 km/s Orbit: La Sun = 195.414541 +/- 0.0000 deg a = 2.550466 +/- 0.0104 AU e = 0.609466 +/- 0.0016 i = 29.994552 +/- 0.0504 deg peri = 172.760057 +/- 0.0158 deg node = 195.415585 +/- 0.0000 deg Pi = 8.175642 +/- 0.0158 deg q = 0.996043 +/- 0.0000 AU f = 7.237658 +/- 0.0158 deg M = 1.395149 +/- 0.0112 deg Q = 4.104889 +/- 0.0208 AU n = 0.241978 +/- 0.0015 deg/day T = 4.073146 +/- 0.0248 years Last perihelion JD = 2458394.753796 (2018-10-03 06:05:27.931957) +/- 0.0141 days Tj = 3.001873 +/- 0.0085 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +2.810722e-06, +3.991667e-10, +1.388409e-05, -1.216643e-10, +1.926921e-07, +1.512035e-06 q , +3.991667e-10, +1.452887e-10, +1.407277e-07, -4.943371e-14, +3.077415e-09, +6.152822e-10 Tp , +1.388409e-05, +1.407277e-07, +2.011531e-04, -6.317094e-10, +3.865906e-06, +7.851676e-06 node, -1.216643e-10, -4.943371e-14, -6.317094e-10, +5.275398e-15, -9.016200e-12, -6.556134e-11 peri, +1.926921e-07, +3.077415e-09, +3.865906e-06, -9.016200e-12, +7.726538e-08, +1.120714e-07 i , +1.512035e-06, +6.152822e-10, +7.851676e-06, -6.556134e-11, +1.120714e-07, +8.147840e-07 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = -1.212538 a2 = 8.532129 Mean time residuals from time vs. length: Station with reference time: 2 Avg. res. = 5.958e-06 s Stddev = 2.44e-03 s Begin point on the trajectory: Lon = -81.247764 +/- 0.0000 deg Lat = 43.796785 +/- 0.0000 deg Ht = 98949.48 +/- 4.05 m End point on the trajectory: Lon = -81.197347 +/- 0.0000 deg Lat = 43.764447 +/- 0.0001 deg Ht = 87633.13 +/- 9.26 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, 0.070349, 15.468347, 98949.48, 89621.46, 0.002827, 2.66, 5.15, 27.10, 1.0000, None, None 1, False, -80.772100, 43.264200, 330.00, 1.438537, 8.164087, 97978.94, 87633.13, 0.001462, 2.27, 1.82, 12.41, 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, 0.000000, 2458400.518611111213, 184.66700, 34.82300, 4.66700, 55.17700, 4.65766, 55.17030, 315.50199, +77.64069, 315.48671, +77.64861, 2552532.11, -3925639.92, 4460279.89, 43.796785, -81.247764, 98949.48, 119714.46, 0.00, 15.96, -88.93, 0.00, 22632.09, -15.89, 8.23, 30.84, None, None 1, 2, 0, 0.031000, 2458400.518611470237, 184.90700, 34.94300, 4.90700, 55.05700, 4.90331, 55.05436, 316.27884, +77.71658, 316.27310, +77.71972, 2552567.34, -3925173.08, 4459590.68, 43.794658, -81.244418, 98203.84, 118976.67, 833.18, 817.22, 24.13, 26876.91, 22632.09, -6.23, 3.23, 12.16, None, None 2, 2, 0, 0.063000, 2458400.518611840438, 185.09500, 35.03600, 5.09500, 54.96400, 5.09341, 54.96287, 316.89460, +77.77303, 316.89239, +77.77439, 2552594.77, -3924809.67, 4459054.16, 43.793003, -81.241846, 97623.41, 118403.03, 1481.78, 1465.82, -37.67, 20268.56, 22632.09, -2.67, 1.38, 5.24, None, None 3, 2, 0, 0.094000, 2458400.518612198997, 185.29200, 35.13300, 5.29200, 54.86700, 5.29182, 54.86687, 317.54706, +77.82981, 317.54718, +77.82996, 2552623.16, -3924433.49, 4458498.79, 43.791288, -81.239174, 97022.58, 117810.05, 2153.16, 2137.20, -54.49, 21657.60, 22632.09, -0.30, 0.15, 0.59, None, None 4, 2, 0, 0.125000, 2458400.518612558022, 185.50000, 35.23300, 5.50000, 54.76700, 5.49871, 54.76609, 318.24069, +77.88528, 318.23930, +77.88640, 2552652.55, -3924043.92, 4457923.66, 43.789513, -81.236402, 96400.38, 117196.83, 2848.43, 2832.47, -47.42, 22428.03, 22416.16, -2.15, 1.11, 4.25, None, None 5, 2, 0, 0.156000, 2458400.518612916581, 185.73200, 35.34800, 5.73200, 54.65200, 5.73189, 54.65192, 319.02986, +77.94771, 319.03036, +77.94781, 2552685.35, -3923609.32, 4457282.03, 43.787531, -81.233295, 95706.25, 116513.82, 3624.09, 3608.13, 40.04, 25021.16, 22722.20, -0.18, 0.09, 0.36, None, None 6, 2, 0, 0.187000, 2458400.518613275606, 185.93700, 35.45000, 5.93700, 54.55000, 5.93709, 54.55007, 319.73669, +78.00080, 319.73760, +78.00072, 2552714.20, -3923227.01, 4456717.61, 43.785788, -81.230576, 95095.66, 115913.84, 4306.41, 4290.44, 34.16, 22010.25, 22756.59, 0.15, -0.08, 0.31, None, None 7, 2, 0, 0.218000, 2458400.518613634165, 186.10600, 35.53700, 6.10600, 54.46300, 6.10760, 54.46412, 320.33077, +78.04551, 320.33381, +78.04413, 2552738.26, -3922908.16, 4456246.88, 43.784334, -81.228330, 94586.40, 115413.99, 4875.47, 4859.51, -84.97, 18356.95, 22406.87, 2.60, -1.34, 5.22, None, None 8, 2, 0, 0.249000, 2458400.518613993190, 186.34600, 35.65300, 6.34600, 54.34700, 6.34384, 54.34550, 321.16999, +78.09924, 321.16826, +78.10111, 2552770.98, -3922474.66, 4455606.89, 43.782356, -81.225229, 93894.07, 114735.64, 5649.15, 5633.19, 0.51, 24957.42, 22412.16, -3.48, 1.80, 7.05, None, None 9, 2, 0, 0.280000, 2458400.518614351749, 186.58100, 35.77600, 6.58100, 54.22400, 6.58207, 54.22474, 322.01999, +78.15730, 322.02247, +78.15637, 2552803.76, -3922040.22, 4454965.50, 43.780373, -81.222121, 93200.23, 114056.98, 6424.52, 6408.56, 87.68, 25011.87, 22555.99, 1.71, -0.89, 3.48, None, None 10, 2, 0, 0.311000, 2458400.518614710774, 186.77600, 35.87700, 6.77600, 54.12300, 6.77751, 54.12405, 322.73132, +78.20199, 322.73440, +78.20067, 2552830.73, -3921682.80, 4454437.83, 43.778742, -81.219586, 92629.40, 113499.39, 7062.42, 7046.46, 37.38, 20577.39, 22545.02, 2.41, -1.25, 4.94, None, None 11, 2, 0, 0.343000, 2458400.518615080975, 186.98700, 35.98600, 6.98700, 54.01400, 6.98814, 54.01479, 323.50830, +78.24750, 323.51102, +78.24650, 2552859.60, -3921300.22, 4453873.01, 43.776995, -81.216868, 92018.40, 112903.48, 7745.22, 7729.26, 9.78, 21337.52, 22490.76, 1.81, -0.94, 3.73, None, None 12, 2, 0, 0.374000, 2458400.518615440000, 187.17100, 36.08700, 7.17100, 53.91300, 7.17581, 53.91630, 324.20542, +78.29026, 324.21217, +78.28604, 2552885.30, -3920959.70, 4453370.28, 43.775440, -81.214459, 91474.56, 112373.79, 8352.96, 8337.00, -70.68, 19604.55, 22363.16, 7.57, -3.92, 15.65, None, None 13, 2, 0, 0.405000, 2458400.518615798559, 187.41000, 36.20900, 7.41000, 53.79100, 7.41194, 53.79233, 325.09960, +78.33441, 325.10326, +78.33270, 2552917.17, -3920537.44, 4452746.88, 43.773512, -81.211439, 90800.20, 111718.21, 9106.58, 9090.62, -5.26, 24310.40, 22338.54, 3.03, -1.57, 6.31, None, None 14, 2, 0, 0.436000, 2458400.518616157584, 187.58400, 36.30300, 7.58400, 53.69700, 7.58659, 53.69877, 325.76850, +78.36884, 325.77283, +78.36655, 2552940.93, -3920222.54, 4452281.98, 43.772073, -81.209221, 90297.28, 111229.85, 9668.59, 9652.63, -131.44, 18129.40, 22217.76, 4.04, -2.09, 8.43, None, None 15, 2, 0, 0.467000, 2458400.518616516143, 187.82400, 36.43000, 7.82400, 53.57000, 7.82566, 53.57112, 326.69310, +78.41074, 326.69654, +78.40928, 2552972.86, -3919799.35, 4451657.22, 43.770139, -81.206194, 89621.46, 110574.92, 10423.87, 10407.91, -64.37, 24363.77, 22184.09, 2.56, -1.32, 5.38, None, None 0, 1, 0, 0.043475, 2458400.518611618318, 147.25000, 36.20500, 327.25000, 53.79500, 327.24991, 53.79496, 251.22489, +66.17489, 251.22496, +66.17485, 2552577.97, -3925032.27, 4459382.80, 43.794017, -81.243423, 97978.94, 120531.18, 0.00, 1068.53, -1.51, 0.00, 22369.73, -0.08, 0.10, 0.23, None, None 1, 1, 0, 0.074475, 2458400.518611977343, 147.31900, 36.26900, 327.31900, 53.73100, 327.31977, 53.73134, 251.09250, +66.22880, 251.09388, +66.22917, 2552609.33, -3924616.77, 4458769.37, 43.792124, -81.240459, 97315.31, 119810.49, 741.56, 1810.09, 51.85, 23921.38, 22369.73, 0.74, -0.93, 2.05, None, None 2, 1, 0, 0.105475, 2458400.518612335902, 147.38000, 36.32400, 327.38000, 53.67600, 327.37931, 53.67570, 250.97895, +66.27611, 250.97844, +66.27577, 2552636.27, -3924259.67, 4458242.18, 43.790496, -81.237929, 96744.97, 119191.74, 1378.88, 2447.41, 0.98, 20558.74, 22369.73, -0.66, 0.83, 1.83, None, None 3, 1, 0, 0.137475, 2458400.518612706568, 147.44700, 36.39100, 327.44700, 53.60900, 327.45020, 53.61040, 250.83787, +66.32951, 250.84288, +66.33106, 2552667.67, -3923843.64, 4457627.98, 43.788600, -81.234964, 96080.51, 118470.64, 2121.38, 3189.91, 33.08, 23203.12, 22369.73, 3.06, -3.80, 8.50, None, None 4, 1, 0, 0.168475, 2458400.518613065127, 147.50900, 36.44900, 327.50900, 53.55100, 327.51209, 53.55235, 250.71667, +66.37804, 250.72165, +66.37954, 2552695.14, -3923479.54, 4457090.44, 43.786940, -81.232381, 95498.98, 117840.03, 2771.21, 3839.74, -5.30, 20962.11, 22116.19, 2.93, -3.65, 8.19, None, None 5, 1, 0, 0.199475, 2458400.518613424152, 147.57900, 36.51000, 327.57900, 53.49000, 327.57896, 53.48998, 250.59038, +66.43187, 250.59115, +66.43185, 2552724.39, -3923092.01, 4456518.31, 43.785172, -81.229624, 94880.05, 117168.81, 3462.85, 4531.38, -1.86, 22310.88, 22071.31, -0.04, 0.05, 0.12, None, None 6, 1, 0, 0.230475, 2458400.518613782711, 147.64500, 36.57400, 327.64500, 53.42600, 327.64661, 53.42670, 250.45508, +66.48402, 250.45827, +66.48481, 2552753.71, -3922703.45, 4455944.66, 43.783400, -81.226858, 94259.47, 116495.98, 4156.32, 5224.86, 3.42, 22370.29, 22086.97, 1.51, -1.88, 4.27, None, None 7, 1, 0, 0.261475, 2458400.518614141736, 147.71500, 36.63800, 327.71500, 53.36200, 327.71540, 53.36217, 250.32064, +66.53850, 250.32229, +66.53869, 2552783.25, -3922311.97, 4455366.70, 43.781614, -81.224070, 93634.24, 115818.27, 4855.02, 5923.55, 13.92, 22538.59, 22130.85, 0.37, -0.47, 1.06, None, None 8, 1, 0, 0.292475, 2458400.518614500295, 147.77700, 36.69900, 327.77700, 53.30100, 327.77880, 53.30178, 250.19061, +66.58766, 250.19433, +66.58855, 2552810.50, -3921950.93, 4454833.68, 43.779966, -81.221509, 93057.62, 115193.69, 5499.38, 6567.91, -29.92, 20785.76, 22062.35, 1.68, -2.09, 4.80, None, None 9, 1, 0, 0.323475, 2458400.518614859320, 147.85000, 36.76500, 327.85000, 53.23500, 327.84974, 53.23489, 250.05137, +66.64430, 250.05237, +66.64418, 2552840.42, -3921554.45, 4454248.33, 43.778156, -81.218683, 92424.41, 114507.68, 6207.00, 7275.53, -10.50, 22826.48, 22068.80, -0.24, 0.29, 0.68, None, None 10, 1, 0, 0.354475, 2458400.518615217879, 147.91400, 36.82500, 327.91400, 53.17500, 327.91260, 53.17439, 249.92365, +66.69441, 249.92318, +66.69371, 2552867.05, -3921201.58, 4453727.38, 43.776545, -81.216182, 91860.85, 113897.67, 6836.77, 7905.30, -68.92, 20315.29, 21993.05, -1.29, 1.61, 3.74, None, None 11, 1, 0, 0.385475, 2458400.518615576904, 147.98000, 36.88900, 327.98000, 53.11100, 327.97907, 53.11060, 249.78627, +66.74652, 249.78659, +66.74606, 2552894.85, -3920833.17, 4453183.48, 43.774862, -81.213564, 91272.47, 113260.82, 7494.29, 8562.82, -99.60, 21210.32, 21919.30, -0.85, 1.07, 2.49, None, None 12, 1, 0, 0.417475, 2458400.518615947105, 148.06000, 36.96100, 328.06000, 53.03900, 328.05617, 53.03734, 249.63303, +66.80851, 249.62945, +66.80660, 2552926.48, -3920414.04, 4452564.70, 43.772948, -81.210573, 90603.12, 112536.20, 8242.33, 9310.86, -61.97, 23375.99, 21924.04, -3.48, 4.35, 10.22, None, None 13, 1, 0, 0.448475, 2458400.518616305664, 148.13300, 37.03300, 328.13300, 52.96700, 328.13081, 52.96606, 249.47702, +66.86637, 249.47585, +66.86528, 2552956.84, -3920011.65, 4451970.64, 43.771109, -81.207701, 89960.50, 111840.78, 8960.49, 10029.02, -32.01, 23166.51, 21962.42, -1.97, 2.47, 5.83, None, None 14, 1, 0, 0.479475, 2458400.518616664689, 148.20300, 37.09800, 328.20300, 52.90200, 328.19867, 52.90013, 249.33699, +66.92101, 249.33297, +66.91884, 2552984.49, -3919645.33, 4451429.82, 43.769435, -81.205098, 89375.48, 111208.20, 9614.28, 10682.81, -66.42, 21089.92, 21965.59, -3.89, 4.87, 11.57, None, None 15, 1, 0, 0.510475, 2458400.518617023248, 148.27300, 37.17000, 328.27300, 52.83000, 328.27176, 52.82946, 249.17899, +66.97707, 249.17939, +66.97644, 2553013.82, -3919256.66, 4450856.02, 43.767659, -81.202328, 88754.79, 110537.05, 10307.94, 11376.47, -60.96, 22376.17, 21976.73, -1.11, 1.39, 3.32, None, None 16, 1, 0, 0.541475, 2458400.518617382273, 148.34200, 37.23800, 328.34200, 52.76200, 328.34111, 52.76162, 249.03015, +67.03169, 249.03118, +67.03124, 2553041.58, -3918888.81, 4450312.94, 43.765977, -81.199713, 88167.33, 109902.22, 10964.46, 12032.99, -92.63, 21178.12, 21968.78, -0.79, 0.99, 2.38, None, None 17, 1, 0, 0.572475, 2458400.518617741298, 148.40400, 37.30100, 328.40400, 52.69900, 328.40398, 52.69899, 248.89121, +67.08114, 248.89358, +67.08113, 2553066.82, -3918554.31, 4449819.11, 43.764447, -81.197347, 87633.13, 109325.43, 11561.45, 12629.98, -183.85, 19257.65, 21915.86, -0.02, 0.02, 0.05, 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.