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: 2458400.550913088024 Time: 2018-10-09 01:13:18.890805 UTC Plane intersections ------------------- Intersection 1 - Stations: 2 and 1 Convergence angle = 50.02662 deg R.A. = 267.19162 Dec = +56.50730 deg Best intersection: Stations 2 and 1 with Qconv = 50.03 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 3314642.70 +/- 1.68 m Y = -3345910.43 +/- 9.44 m Z = 4436465.62 +/- 13.81 m Vx = -842.35 +/- 2.21 m/s Vy = -12332.56 +/- 46.93 m/s Vz = 18294.53 +/- 74.98 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +2.851418e+00, -7.491484e+00, +1.128482e+01, +3.533498e+00, -6.296512e+01, +9.314974e+01 -7.491484e+00, +8.949488e+01, -1.295257e+02, -1.465465e+01, +2.590241e+02, -3.724227e+02 +1.128482e+01, -1.295257e+02, +1.914465e+02, +2.303741e+01, -3.558592e+02, +5.201689e+02 +3.533498e+00, -1.465465e+01, +2.303741e+01, +1.044590e+01, -6.935746e+01, +1.058160e+02 -6.296512e+01, +2.590241e+02, -3.558592e+02, -6.935746e+01, +2.556256e+03, -3.687464e+03 +9.314974e+01, -3.724227e+02, +5.201689e+02, +1.058160e+02, -3.687464e+03, +5.343703e+03 Timing offsets (from input data): 2: -0.000213 s 1: 0.000000 s Reference point on the trajectory: Time: 2018-10-09 01:13:18.890805 UTC Lon = -81.210038 +/- 0.0001 deg Lat = +43.477476 +/- 0.0000 deg Lat geo = +43.288393 +/- 0.0000 deg Ht = 102234.26 +/- 14.76 m JD dynamic = 2458400.551713828929 LST apparent = 314.7310289768 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 266.09259 +/- 0.0260 deg Dec = +55.95380 +/- 0.0077 deg Azimuth = +309.52509 +/- 0.0141 deg Elevation = +56.99103 +/- 0.0146 deg Vavg = 21.92138 +/- 0.0173 km/s Vinit = 22.07920 +/- 0.0885 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 267.16680 +/- 0.0260 deg Dec = +56.50705 +/- 0.0077 deg Azimuth = +310.58959 +/- 0.0141 deg Elevation = +57.56681 +/- 0.0146 deg Vavg = 21.77928 +/- 0.0173 km/s Vinit = 21.93710 +/- 0.0885 km/s Radiant (geocentric, J2000): R.A. = 261.57944 +/- 0.2611 deg Dec = +55.95627 +/- 0.1554 deg Vg = 19.08624 +/- 0.1023 km/s Vinf = 22.07920 +/- 0.0885 km/s Zc = 33.12959 +/- 0.1415 deg Zg = 35.60735 +/- 0.1544 deg Radiant (ecliptic geocentric, J2000): Lg = 245.33426 +/- 0.4719 deg Bg = +78.67105 +/- 0.1917 deg Vh = 37.71789 +/- 0.0727 km/s Radiant (ecliptic heliocentric, J2000): Lh = 282.08695 +/- 0.1094 deg Bh = +29.74954 +/- 0.1209 deg Vh_x = -6.85704 +/- 0.0546 km/s Vh_y = 32.02082 +/- 0.0495 km/s Vh_z = -18.71598 +/- 0.1006 km/s Orbit: La Sun = 195.446449 +/- 0.0000 deg a = 2.511003 +/- 0.0402 AU e = 0.603497 +/- 0.0062 i = 29.792043 +/- 0.1203 deg peri = 172.248837 +/- 0.2396 deg node = 195.447454 +/- 0.0000 deg Pi = 7.696291 +/- 0.2396 deg q = 0.995620 +/- 0.0002 AU f = 7.749061 +/- 0.2396 deg M = 1.531378 +/- 0.0549 deg Q = 4.026385 +/- 0.0804 AU n = 0.247704 +/- 0.0057 deg/day T = 3.978977 +/- 0.0962 years Last perihelion JD = 2458394.369426 (2018-10-02 20:51:58.431258) +/- 0.1876 days Tj = 3.033905 +/- 0.0314 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +3.853613e-05, -3.918436e-07, -1.232692e-04, -7.787354e-10, -4.396399e-06, +1.061847e-05 q , -3.918436e-07, +5.388506e-08, +4.303547e-05, -1.220934e-11, +9.677635e-07, +1.652585e-07 Tp , -1.232692e-04, +4.303547e-05, +3.537902e-02, -1.436059e-08, +7.869538e-04, +1.947900e-04 node, -7.787354e-10, -1.220934e-11, -1.436059e-08, +2.389863e-14, -2.834568e-10, -3.253865e-10 peri, -4.396399e-06, +9.677635e-07, +7.869538e-04, -2.834568e-10, +1.757650e-05, +3.842497e-06 i , +1.061847e-05, +1.652585e-07, +1.947900e-04, -3.253865e-10, +3.842497e-06, +4.430286e-06 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = -0.000011 a2 = 25.734833 Mean time residuals from time vs. length: Station with reference time: 1 Avg. res. = 1.033e-05 s Stddev = 3.21e-03 s Begin point on the trajectory: Lon = -81.209922 +/- 0.0000 deg Lat = 43.477406 +/- 0.0000 deg Ht = 102215.22 +/- 10.01 m End point on the trajectory: Lon = -81.139132 +/- 0.0000 deg Lat = 43.433177 +/- 0.0000 deg Ht = 90170.65 +/- 9.38 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, 0.127341, 15.477582, 100014.83, 93602.16, 0.011001, 14.72, 13.04, 29.06, 1.0000, None, None 1, False, -80.772100, 43.264200, 330.00, 29.336671, 0.000000, 102628.63, 89813.16, 0.001152, 2.07, 0.01, 10.25, 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, 0.112691, 2458400.550914351828, 197.44200, 18.17600, 17.44200, 71.82400, 17.44950, 71.84064, 325.45079, +60.14243, 325.44034, +60.12645, 3314792.65, -3344426.20, 4434240.58, 43.468953, -81.196488, 100014.83, 104833.80, 0.00, 3091.17, 225.06, 0.00, 21267.90, 20.40, 23.01, 60.49, None, None 1, 2, 0, 0.144691, 2458400.550914722029, 197.84400, 18.19300, 17.84400, 71.80700, 17.85182, 71.82356, 325.69164, +60.10202, 325.68126, +60.08612, 3314805.99, -3344156.56, 4433843.11, 43.467507, -81.194197, 99609.18, 104417.64, 480.48, 3571.65, -34.64, 15015.09, 21267.90, 20.24, 22.83, 60.26, None, None 2, 2, 0, 0.175691, 2458400.550915081054, 198.49200, 18.22000, 18.49200, 71.78000, 18.49892, 71.79368, 326.07749, +60.03381, 326.06892, +60.02069, 3314826.92, -3343733.56, 4433219.58, 43.465238, -81.190522, 98972.86, 103766.48, 1234.24, 4325.41, 2.06, 24314.69, 21267.90, 16.64, 18.77, 49.85, None, None 3, 2, 0, 0.206691, 2458400.550915439613, 199.12900, 18.25000, 19.12900, 71.75000, 19.13552, 71.76209, 326.45755, +59.96657, 326.45000, +59.95498, 3314847.34, -3343320.95, 4432611.35, 43.463024, -81.186939, 98352.17, 103132.54, 1969.50, 5060.67, 20.27, 23718.21, 21267.90, 14.63, 16.51, 44.13, None, None 4, 2, 0, 0.237691, 2458400.550915798638, 199.75700, 18.27900, 19.75700, 71.72100, 19.76151, 71.72889, 326.82925, +59.89662, 326.82450, +59.88905, 3314867.26, -3342918.42, 4432018.00, 43.460864, -81.183448, 97746.67, 102515.32, 2686.78, 5777.95, 20.50, 23137.93, 21984.44, 9.51, 10.73, 28.85, None, None 5, 2, 0, 0.268691, 2458400.550916157197, 200.40500, 18.31200, 20.40500, 71.68800, 20.40763, 71.69233, 327.21320, +59.82381, 327.21092, +59.81966, 3314887.63, -3342506.75, 4431411.16, 43.458654, -81.179873, 97127.42, 101885.38, 3420.36, 6511.53, 37.03, 23664.05, 22429.27, 5.20, 5.87, 15.87, None, None 6, 2, 0, 0.299691, 2458400.550916516222, 201.01300, 18.34500, 21.01300, 71.65500, 21.01364, 71.65600, 327.57311, +59.75419, 327.57320, +59.75323, 3314906.62, -3342122.95, 4430845.42, 43.456593, -81.176549, 96550.11, 101299.21, 4104.27, 7195.44, 3.89, 22061.50, 22549.80, 1.20, 1.35, 3.67, None, None 7, 2, 0, 0.330691, 2458400.550916874781, 201.63500, 18.38100, 21.63500, 71.61900, 21.63345, 71.61669, 327.94120, +59.68179, 327.94372, +59.68400, 3314925.88, -3341733.59, 4430271.47, 43.454502, -81.173174, 95964.44, 100705.75, 4798.10, 7889.27, -19.34, 22381.44, 22586.23, -2.75, -3.10, 8.49, None, None 8, 2, 0, 0.361691, 2458400.550917233806, 202.27100, 18.42100, 22.27100, 71.57900, 22.26763, 71.57421, 328.31842, +59.60720, 328.32287, +59.61179, 3314945.44, -3341338.36, 4429688.88, 43.452379, -81.169747, 95369.97, 100104.63, 5502.37, 8593.54, -32.12, 22718.45, 22612.05, -5.68, -6.42, 17.67, None, None 9, 2, 0, 0.392691, 2458400.550917592365, 202.89400, 18.46200, 22.89400, 71.53800, 22.88842, 71.53042, 328.68742, +59.53243, 328.69407, +59.53970, 3314964.46, -3340954.01, 4429122.31, 43.450314, -81.166416, 94791.86, 99521.23, 6187.27, 9278.44, -64.27, 22093.55, 22597.02, -8.96, -10.13, 28.03, None, None 10, 2, 0, 0.424691, 2458400.550917963032, 203.48900, 18.50200, 23.48900, 71.49800, 23.48032, 71.48667, 329.03843, +59.45873, 329.04804, +59.46960, 3314982.51, -3340589.12, 4428584.43, 43.448353, -81.163265, 94243.03, 98968.40, 6837.49, 9928.66, -154.24, 20319.34, 22481.85, -13.35, -15.09, 41.99, None, None 11, 2, 0, 0.455691, 2458400.550918321591, 204.19200, 18.55300, 24.19200, 71.44700, 24.18004, 71.43209, 329.45438, +59.37093, 329.46692, +59.38524, 3315003.60, -3340163.02, 4427956.32, 43.446062, -81.159558, 93602.16, 98324.56, 7596.78, 10687.95, -111.99, 24493.33, 22492.95, -17.49, -19.77, 55.38, None, None 0, 1, 0, 0.000000, 2458400.550913088024, 123.88200, 23.07600, 303.88200, 66.92400, 303.87862, 66.92357, 283.14169, +52.15204, 283.14018, +52.15081, 3314706.68, -3346163.59, 4436801.63, 43.478265, -81.211652, 102628.63, 111037.85, 0.00, 4.78, -254.70, 0.00, 26321.43, 0.01, 2.69, 5.01, None, None 1, 1, 0, 0.031000, 2458400.550913447049, 123.81300, 23.01000, 303.81300, 66.99000, 303.81267, 66.98996, 283.24010, +52.11414, 283.23968, +52.11402, 3314729.39, -3345704.56, 4436124.98, 43.475806, -81.207656, 101938.02, 110235.94, 817.97, 813.19, -163.35, 26386.16, 26321.43, 0.00, 0.26, 0.48, None, None 2, 1, 0, 0.062000, 2458400.550913805608, 123.74200, 22.94100, 303.74200, 67.05900, 303.74379, 67.05923, 283.34303, +52.07502, 283.34339, +52.07567, 3314752.72, -3345233.23, 4435430.21, 43.473280, -81.203548, 101228.92, 109412.63, 1657.86, 1653.08, -40.52, 27093.12, 26321.43, -0.00, -1.40, 2.64, None, None 3, 1, 0, 0.094000, 2458400.550914176274, 123.67100, 22.87400, 303.67100, 67.12600, 303.67553, 67.12658, 283.44267, +52.03630, 283.44402, +52.03794, 3314775.17, -3344779.43, 4434761.27, 43.470847, -81.199601, 100546.21, 108620.33, 2466.51, 2461.73, 27.96, 25270.53, 26321.43, -0.01, -3.51, 6.67, None, None 4, 1, 0, 0.125000, 2458400.550914534833, 123.61400, 22.82100, 303.61400, 67.17900, 303.61916, 67.17966, 283.52134, +52.00540, 283.52302, +52.00726, 3314792.91, -3344420.94, 4434232.83, 43.468925, -81.196507, 100006.91, 107995.19, 3105.32, 3100.53, -50.29, 20606.51, 25107.91, -0.01, -3.97, 7.59, None, None 5, 1, 0, 0.156000, 2458400.550914893858, 123.56100, 22.76500, 303.56100, 67.23500, 303.56051, 67.23494, 283.60519, +51.97554, 283.60524, +51.97537, 3314811.13, -3344052.60, 4433689.87, 43.466949, -81.193324, 99452.79, 107352.88, 3761.68, 3756.90, -110.98, 21173.15, 24204.88, 0.00, 0.37, 0.72, None, None 6, 1, 0, 0.187000, 2458400.550915252417, 123.48700, 22.69600, 303.48700, 67.30400, 303.48936, 67.30430, 283.70750, +51.93550, 283.70856, +51.93634, 3314833.39, -3343602.81, 4433026.84, 43.464536, -81.189407, 98776.17, 106567.95, 4563.19, 4558.40, -26.52, 25854.94, 24056.36, -0.00, -1.79, 3.46, None, None 7, 1, 0, 0.218000, 2458400.550915611442, 123.41400, 22.62400, 303.41400, 67.37600, 303.41541, 67.37618, 283.81461, +51.89538, 283.81551, +51.89588, 3314856.10, -3343143.93, 4432350.43, 43.462074, -81.185409, 98085.90, 105767.28, 5380.88, 5376.10, 74.12, 26377.19, 24186.09, -0.00, -1.05, 2.05, None, None 8, 1, 0, 0.249000, 2458400.550915970001, 123.35700, 22.57000, 303.35700, 67.43000, 303.35660, 67.42995, 283.89465, +51.86448, 283.89511, +51.86434, 3314873.21, -3342798.10, 4431840.65, 43.460218, -81.182427, 97565.67, 105164.79, 5997.13, 5992.35, -26.68, 19879.14, 23961.70, 0.00, 0.29, 0.58, None, None 9, 1, 0, 0.280000, 2458400.550916329026, 123.29900, 22.51600, 303.29900, 67.48400, 303.29731, 67.48378, 283.97453, +51.83324, 283.97471, +51.83264, 3314890.17, -3342455.36, 4431335.42, 43.458378, -81.179473, 97050.10, 104567.81, 6607.88, 6603.10, -132.98, 19701.60, 23616.18, -0.00, 1.25, 2.46, None, None 10, 1, 0, 0.311000, 2458400.550916687585, 123.21000, 22.43200, 303.21000, 67.56800, 303.21064, 67.56808, 284.09881, +51.78520, 284.09986, +51.78543, 3314915.65, -3341940.47, 4430576.43, 43.455613, -81.174969, 96275.63, 103669.53, 7525.40, 7520.61, 67.48, 29597.17, 23697.73, 0.00, -0.47, 0.93, None, None 11, 1, 0, 0.342000, 2458400.550917046610, 123.14500, 22.37200, 303.14500, 67.62800, 303.14489, 67.62799, 284.18736, +51.75041, 284.18830, +51.75037, 3314933.88, -3341571.91, 4430033.14, 43.453633, -81.171781, 95721.26, 103027.63, 8182.15, 8177.37, 7.18, 21185.68, 23648.69, -0.00, 0.08, 0.16, None, None 12, 1, 0, 0.374000, 2458400.550917416811, 123.07000, 22.30400, 303.07000, 67.69600, 303.07083, 67.69611, 284.28751, +51.71054, 284.28887, +51.71083, 3314954.24, -3341160.48, 4429426.67, 43.451423, -81.168212, 95102.43, 102310.95, 8915.29, 8910.51, 0.14, 22910.72, 23593.84, 0.00, -0.59, 1.20, None, None 13, 1, 0, 0.405000, 2458400.550917775370, 122.98800, 22.22300, 302.98800, 67.77700, 302.98527, 67.77665, 284.40748, +51.66588, 284.40786, +51.66492, 3314977.70, -3340686.39, 4428727.81, 43.448875, -81.164073, 94389.37, 101484.69, 9760.11, 9755.33, 127.90, 27252.07, 23663.69, -0.00, 1.93, 3.92, None, None 14, 1, 0, 0.436000, 2458400.550918134395, 122.91800, 22.16700, 302.91800, 67.83300, 302.92069, 67.83335, 284.48895, +51.63010, 284.49115, +51.63104, 3314994.39, -3340349.11, 4428230.64, 43.447063, -81.161166, 93882.07, 100897.94, 10361.12, 10356.34, 11.86, 19387.48, 23602.51, 0.00, -1.89, 3.86, None, None 15, 1, 0, 0.467000, 2458400.550918492954, 122.84600, 22.09700, 302.84600, 67.90300, 302.84394, 67.90273, 284.59235, +51.59121, 284.59321, +51.59050, 3315014.29, -3339946.89, 4427637.73, 43.444900, -81.157674, 93277.12, 100197.74, 11077.87, 11073.08, 11.56, 23120.85, 23551.03, -0.00, 1.43, 2.95, None, None 16, 1, 0, 0.498000, 2458400.550918851979, 122.76700, 22.02600, 302.76700, 67.97400, 302.76500, 67.97374, 284.69653, +51.54963, 284.69753, +51.54894, 3315034.38, -3339540.99, 4427039.40, 43.442717, -81.154148, 92666.66, 99491.28, 11801.16, 11796.38, 17.80, 23332.04, 23511.43, -0.00, 1.38, 2.86, None, None 17, 1, 0, 0.529000, 2458400.550919211004, 122.68600, 21.94900, 302.68600, 68.05100, 302.68019, 68.05024, 284.80990, +51.50635, 284.80984, +51.50434, 3315055.63, -3339111.39, 4426406.14, 43.440406, -81.150409, 92020.58, 98743.58, 12566.68, 12561.90, 66.27, 24694.34, 23504.30, -0.01, 3.97, 8.28, None, None 18, 1, 0, 0.560000, 2458400.550919569563, 122.62300, 21.89500, 302.62300, 68.10500, 302.61603, 68.10408, 284.88871, +51.47377, 284.88842, +51.47137, 3315070.79, -3338805.03, 4425954.55, 43.438758, -81.147779, 91559.81, 98211.40, 13112.59, 13107.81, -104.87, 17609.99, 23406.55, -0.02, 4.72, 9.92, None, None 19, 1, 0, 0.591000, 2458400.550919928588, 122.51900, 21.80800, 302.51900, 68.19200, 302.51891, 68.19199, 285.01532, +51.42047, 285.01731, +51.42044, 3315094.45, -3338326.96, 4425249.84, 43.436186, -81.143602, 90840.89, 97379.38, 13964.49, 13959.71, 29.97, 27480.49, 23393.24, -0.00, 0.06, 0.13, None, None 20, 1, 0, 0.623000, 2458400.550920298789, 122.44000, 21.74000, 302.44000, 68.26000, 302.43955, 68.25994, 285.11444, +51.37974, 285.11645, +51.37959, 3315112.81, -3337955.96, 4424702.95, 43.434189, -81.140393, 90282.94, 96734.68, 14625.60, 14620.81, -49.10, 20659.63, 23346.80, -0.00, 0.30, 0.63, None, None 21, 1, 0, 0.654000, 2458400.550920657348, 122.36900, 21.68300, 302.36900, 68.31700, 302.37035, 68.31718, 285.19698, +51.34393, 285.19968, +51.34439, 3315128.26, -3337643.59, 4424242.50, 43.432507, -81.137708, 89813.16, 96192.39, 15182.22, 15177.44, -209.53, 17955.65, 23248.23, 0.00, -0.89, 1.91, 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.