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: 2458400.521504093427 Time: 2018-10-09 00:30:57.953672 UTC Plane intersections ------------------- Intersection 1 - Stations: 1 and 2 Convergence angle = 41.36661 deg R.A. = 266.73424 Dec = +56.12996 deg Best intersection: Stations 1 and 2 with Qconv = 41.37 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 2591086.97 +/- 6.13 m Y = -3876532.02 +/- 6.51 m Z = 4480277.20 +/- 29.94 m Vx = -795.21 +/- 23.15 m/s Vy = -13013.63 +/- 18.34 m/s Vz = 18669.77 +/- 102.46 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +4.340988e+01, +1.831530e+01, -1.594572e+02, +1.961554e+02, +1.193819e+02, -6.278911e+02 +1.831530e+01, +4.331581e+01, -1.419406e+02, +6.597334e+01, +5.284829e+01, -3.263749e+02 -1.594572e+02, -1.419406e+02, +9.461295e+02, -6.191363e+02, -4.756198e+02, +2.916397e+03 +1.961554e+02, +6.597334e+01, -6.191363e+02, +1.155236e+03, +6.245106e+02, -3.235435e+03 +1.193819e+02, +5.284829e+01, -4.756198e+02, +6.245106e+02, +4.121064e+02, -2.145798e+03 -6.278911e+02, -3.263749e+02, +2.916397e+03, -3.235435e+03, -2.145798e+03, +1.249568e+04 Timing offsets (from input data): 1: -0.000364 s 2: 0.000000 s Reference point on the trajectory: Time: 2018-10-09 00:30:57.953672 UTC Lon = -81.565943 +/- 0.0001 deg Lat = +44.046034 +/- 0.0002 deg Lat geo = +43.856670 +/- 0.0002 deg Ht = 98575.02 +/- 21.92 m JD dynamic = 2458400.522304834332 LST apparent = 303.7589000140 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 266.50324 +/- 0.1270 deg Dec = +55.07174 +/- 0.1063 deg Azimuth = +308.17180 +/- 0.2133 deg Elevation = +63.83967 +/- 0.0847 deg Vavg = 21.47707 +/- 0.0920 km/s Vinit = 22.77164 +/- 0.0959 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 267.71144 +/- 0.1270 deg Dec = +55.49260 +/- 0.1063 deg Azimuth = +309.40364 +/- 0.2133 deg Elevation = +64.44130 +/- 0.0847 deg Vavg = 21.36146 +/- 0.0920 km/s Vinit = 22.65603 +/- 0.0959 km/s Radiant (geocentric, J2000): R.A. = 263.27005 +/- 0.2316 deg Dec = +55.34602 +/- 0.1357 deg Vg = 19.88132 +/- 0.1090 km/s Vinf = 22.77164 +/- 0.0959 km/s Zc = 26.27776 +/- 0.1278 deg Zg = 28.09016 +/- 0.1276 deg Radiant (ecliptic geocentric, J2000): Lg = 250.75944 +/- 0.6104 deg Bg = +78.33357 +/- 0.1443 deg Vh = 38.47012 +/- 0.0390 km/s Radiant (ecliptic heliocentric, J2000): Lh = 282.32533 +/- 0.0913 deg Bh = +30.40873 +/- 0.1632 deg Vh_x = -7.08226 +/- 0.0511 km/s Vh_y = 32.41333 +/- 0.0309 km/s Vh_z = -19.47224 +/- 0.1136 km/s Orbit: La Sun = 195.417399 +/- -0.0000 deg a = 2.997255 +/- 0.0353 AU e = 0.667576 +/- 0.0034 i = 30.445205 +/- 0.1638 deg peri = 173.338879 +/- 0.1800 deg node = 195.418422 +/- 0.0000 deg Pi = 8.757301 +/- 0.1800 deg q = 0.996359 +/- 0.0002 AU f = 6.658868 +/- 0.1800 deg M = 0.990100 +/- 0.0235 deg Q = 4.998152 +/- 0.0706 AU n = 0.189941 +/- 0.0028 deg/day T = 5.189031 +/- 0.0950 years Last perihelion JD = 2458395.309630 (2018-10-03 19:25:52.044515) +/- 0.1370 days Tj = 2.710584 +/- 0.0184 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +1.403653e-05, -2.588605e-07, -1.677474e-04, -8.130132e-10, -4.304970e-06, +1.106086e-05 q , -2.588605e-07, +3.071972e-08, +2.411829e-05, +5.787457e-12, +5.556362e-07, -7.718849e-08 Tp , -1.677474e-04, +2.411829e-05, +1.906068e-02, +2.326807e-09, +4.377685e-04, -3.028334e-05 node, -8.130132e-10, +5.787457e-12, +2.326807e-09, +5.150983e-14, +8.193998e-11, -7.017015e-10 peri, -4.304970e-06, +5.556362e-07, +4.377685e-04, +8.193998e-11, +1.007060e-05, -1.083916e-06 i , +1.106086e-05, -7.718849e-08, -3.028334e-05, -7.017015e-10, -1.083916e-06, +9.561438e-06 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = 23.438295 a2 = 6.542661 Mean time residuals from time vs. length: Station with reference time: 2 Avg. res. = 1.291e-06 s Stddev = 1.14e-03 s Begin point on the trajectory: Lon = -81.565921 +/- 0.0001 deg Lat = 44.046022 +/- 0.0002 deg Ht = 98570.27 +/- 20.70 m End point on the trajectory: Lon = -81.519283 +/- 0.0002 deg Lat = 44.018266 +/- 0.0002 deg Ht = 88274.69 +/- 23.75 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, 30.001951, 6.048601, 97752.63, 88274.69, 0.005163, 12.38, 3.96, 22.35, 1.0000, None, None 2, False, -81.315700, 43.192800, 320.00, 1.991134, 15.746036, 98570.27, 93104.53, 0.006827, 10.15, 12.66, 27.43, 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, 0.046409, 2458400.521504629403, 143.94400, 48.52500, 323.94400, 41.47500, 323.92550, 41.47072, 223.21015, +63.50821, 223.20955, +63.49371, 2591118.97, -3876008.40, 4479526.01, 44.043821, -81.562234, 97752.63, 145720.36, 0.00, 916.24, 2.50, 0.00, 22609.78, -11.25, 35.13, 52.22, None, None 1, 1, 0, 0.078409, 2458400.521504999604, 143.97800, 48.63300, 323.97800, 41.36700, 323.96410, 41.36379, 222.96173, +63.50259, 222.96151, +63.49167, 2591143.76, -3875602.77, 4478944.07, 44.042107, -81.559344, 97115.56, 145072.63, 709.79, 1626.03, -16.41, 22180.93, 22609.78, -8.42, 26.33, 39.30, None, None 2, 1, 0, 0.109409, 2458400.521505358629, 144.01300, 48.74800, 324.01300, 41.25200, 324.00537, 41.25024, 222.69785, +63.49535, 222.69798, +63.48936, 2591169.87, -3875175.48, 4478331.08, 44.040300, -81.556288, 96444.49, 144390.51, 1457.46, 2373.70, 25.35, 24118.48, 22609.78, -4.60, 14.40, 21.59, None, None 3, 1, 0, 0.140409, 2458400.521505717188, 144.04500, 48.84900, 324.04500, 41.15100, 324.04102, 41.15008, 222.46557, +63.48958, 222.46592, +63.48645, 2591192.64, -3874802.74, 4477796.32, 44.038723, -81.553638, 95859.07, 143796.54, 2109.71, 3025.95, -28.33, 21040.21, 22609.78, -2.40, 7.50, 11.30, None, None 4, 1, 0, 0.171409, 2458400.521506076213, 144.08400, 48.96300, 324.08400, 41.03700, 324.08192, 41.03652, 222.20206, +63.48479, 222.20258, +63.48315, 2591218.29, -3874383.09, 4477194.28, 44.036948, -81.550638, 95200.00, 143127.81, 2844.02, 3760.26, 0.07, 23687.61, 22717.59, -1.24, 3.90, 5.89, None, None 5, 1, 0, 0.202409, 2458400.521506434772, 144.11800, 49.06800, 324.11800, 40.93200, 324.11892, 40.93221, 221.96036, +63.47864, 221.96101, +63.47937, 2591241.60, -3874001.63, 4476647.03, 44.035334, -81.547922, 94600.91, 142520.88, 3511.51, 4427.75, -38.37, 21531.73, 22580.46, 0.55, -1.71, 2.60, None, None 6, 1, 0, 0.233409, 2458400.521506793797, 144.15500, 49.17600, 324.15500, 40.82400, 324.15711, 40.82448, 221.71081, +63.47345, 221.71156, +63.47512, 2591265.47, -3873610.97, 4476086.57, 44.033680, -81.545137, 93987.38, 141899.73, 4195.10, 5111.33, -60.70, 22051.28, 22474.83, 1.25, -3.93, 6.00, None, None 7, 1, 0, 0.264409, 2458400.521507152356, 144.18600, 49.26800, 324.18600, 40.73200, 324.18877, 40.73264, 221.49853, +63.46838, 221.49940, +63.47057, 2591285.60, -3873281.54, 4475613.96, 44.032286, -81.542809, 93470.00, 141377.07, 4771.54, 5687.78, -190.18, 18595.03, 22108.71, 1.64, -5.16, 7.90, None, None 8, 1, 0, 0.295409, 2458400.521507511381, 144.22500, 49.38400, 324.22500, 40.61600, 324.22976, 40.61709, 221.23100, +63.46157, 221.23192, +63.46534, 2591310.80, -3872869.10, 4475022.26, 44.030539, -81.539861, 92822.27, 140722.09, 5493.25, 6409.48, -174.39, 23280.73, 22015.32, 2.81, -8.84, 13.59, None, None 9, 1, 0, 0.326409, 2458400.521507869940, 144.25700, 49.48000, 324.25700, 40.52000, 324.26270, 40.52131, 221.00981, +63.45543, 221.01080, +63.45996, 2591331.45, -3872531.17, 4474537.47, 44.029108, -81.537469, 92291.56, 140186.74, 6084.55, 7000.79, -289.01, 19074.35, 21807.73, 3.36, -10.56, 16.31, None, None 10, 1, 0, 0.358409, 2458400.521508240607, 144.30300, 49.59000, 324.30300, 40.41000, 324.30161, 40.40968, 220.75151, +63.45482, 220.75287, +63.45372, 2591355.36, -3872139.89, 4473976.12, 44.027450, -81.534682, 91677.06, 139566.79, 6769.23, 7685.47, -333.02, 21396.31, 21674.72, -0.81, 2.56, 3.97, None, None 11, 1, 0, 0.389409, 2458400.521508599166, 144.34400, 49.70900, 324.34400, 40.29100, 324.34336, 40.29085, 220.47675, +63.44742, 220.47821, +63.44691, 2591380.61, -3871726.67, 4473383.29, 44.025699, -81.531727, 91028.11, 138912.28, 7492.30, 8408.54, -315.87, 23324.88, 21661.69, -0.37, 1.17, 1.82, None, None 12, 1, 0, 0.420409, 2458400.521508958191, 144.37300, 49.79600, 324.37300, 40.20400, 324.37238, 40.20386, 220.27645, +63.44103, 220.27805, +63.44054, 2591398.84, -3871428.24, 4472955.16, 44.024435, -81.529629, 90559.42, 138441.27, 8014.50, 8930.74, -499.59, 16845.04, 21495.50, -0.36, 1.13, 1.77, None, None 13, 1, 0, 0.451409, 2458400.521509316750, 144.42000, 49.92900, 324.42000, 40.07100, 324.41934, 40.07085, 219.96893, +63.43278, 219.97066, +63.43225, 2591426.67, -3870972.88, 4472301.89, 44.022504, -81.526359, 89844.33, 137720.81, 8811.31, 9727.54, -408.71, 25703.37, 21510.95, -0.38, 1.21, 1.90, None, None 14, 1, 0, 0.482409, 2458400.521509675775, 144.45000, 50.01900, 324.45000, 39.98100, 324.44926, 39.98083, 219.76189, +63.42559, 219.76377, +63.42500, 2591445.22, -3870669.33, 4471866.41, 44.021217, -81.524222, 89367.60, 137242.52, 9342.46, 10258.70, -583.48, 17134.07, 21412.00, -0.43, 1.35, 2.12, None, None 15, 1, 0, 0.513409, 2458400.521510034334, 144.48600, 50.13000, 324.48600, 39.87000, 324.48708, 39.87025, 219.50722, +63.41566, 219.50909, +63.41653, 2591467.90, -3870298.07, 4471333.78, 44.019643, -81.521578, 88784.57, 136656.99, 9992.10, 10908.34, -639.75, 20956.18, 21335.79, 0.62, -1.97, 3.11, None, None 16, 1, 0, 0.544409, 2458400.521510393359, 144.51300, 50.22900, 324.51300, 39.77100, 324.51973, 39.77254, 219.28308, +63.40280, 219.28461, +63.40818, 2591487.74, -3869973.41, 4470868.02, 44.018266, -81.519283, 88274.69, 136145.98, 10560.20, 11476.44, -777.57, 18325.84, 21224.69, 3.87, -12.22, 19.42, None, None 0, 2, 0, 0.000000, 2458400.521504093427, 168.04600, 45.27600, 348.04600, 44.72400, 348.05944, 44.73097, 228.21995, +81.26819, 228.27194, +81.27696, 2591087.16, -3876528.99, 4480272.86, 44.046022, -81.565921, 98570.27, 138539.01, 0.00, 5.29, 148.35, 0.00, 21576.34, 22.30, -17.87, 42.55, None, None 1, 2, 0, 0.062000, 2458400.521504811011, 168.24800, 45.47700, 348.24800, 44.52300, 348.25516, 44.52671, 226.97863, +81.43010, 227.00636, +81.43487, 2591131.20, -3875808.18, 4479238.76, 44.042975, -81.560807, 97438.17, 137435.20, 1261.30, 1266.59, -2.19, 20343.49, 21576.34, 11.80, -9.46, 22.70, None, None 2, 2, 0, 0.094000, 2458400.521505181212, 168.36600, 45.60100, 348.36600, 44.39900, 348.37388, 44.40308, 226.18871, +81.52371, 226.21925, +81.52903, 2591157.51, -3875377.66, 4478621.12, 44.041155, -81.557731, 96762.01, 136776.90, 2014.64, 2019.93, 22.46, 23542.03, 21576.34, 12.95, -10.38, 25.03, None, None 3, 2, 0, 0.125000, 2458400.521505540237, 168.47900, 45.71000, 348.47900, 44.29000, 348.48064, 44.29085, 225.48359, +81.61158, 225.49019, +81.61269, 2591181.15, -3874990.90, 4478066.27, 44.039519, -81.554977, 96154.59, 136186.44, 2691.40, 2696.69, -6.71, 21830.77, 21576.34, 2.68, -2.15, 5.20, None, None 4, 2, 0, 0.156000, 2458400.521505898796, 168.59200, 45.83000, 348.59200, 44.17000, 348.59429, 44.17118, 224.68853, +81.69900, 224.69773, +81.70058, 2591206.10, -3874582.44, 4477480.28, 44.037791, -81.552060, 95513.09, 135563.59, 3406.13, 3411.42, 2.11, 23055.99, 21880.83, 3.74, -3.00, 7.29, None, None 5, 2, 0, 0.187000, 2458400.521506257821, 168.70600, 45.94000, 348.70600, 44.06000, 348.70128, 44.05756, 223.94781, +81.78549, 223.93048, +81.78219, 2591229.56, -3874198.53, 4476929.50, 44.036167, -81.549327, 94910.14, 134979.04, 4077.92, 4083.21, -32.02, 21670.53, 21968.14, -7.68, 6.16, 15.04, None, None 6, 2, 0, 0.218000, 2458400.521506616380, 168.81000, 46.04800, 348.81000, 43.95200, 348.80319, 43.94849, 223.20525, +81.86366, 223.18030, +81.85884, 2591251.87, -3873833.48, 4476405.79, 44.034622, -81.546733, 94336.82, 134424.00, 4716.69, 4721.98, -99.17, 20605.52, 21882.77, -11.04, 8.85, 21.71, None, None 7, 2, 0, 0.249000, 2458400.521506975405, 168.92100, 46.16200, 348.92100, 43.83800, 348.91104, 43.83287, 222.40688, +81.94585, 222.37050, +81.93873, 2591275.30, -3873450.02, 4475855.67, 44.032999, -81.544002, 93734.60, 133841.67, 5387.67, 5392.97, -134.11, 21644.68, 21825.96, -16.08, 12.90, 31.77, None, None 8, 2, 0, 0.280000, 2458400.521507333964, 169.03300, 46.28500, 349.03300, 43.71500, 349.02473, 43.71075, 221.52820, +82.02749, 221.49859, +82.02151, 2591299.82, -3873048.83, 4475280.11, 44.031300, -81.541138, 93104.53, 133233.18, 6089.69, 6094.99, -138.01, 22645.79, 21846.01, -13.30, 10.67, 26.40, 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.