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: 2458400.556608165149 Time: 2018-10-09 01:21:30.945469 UTC Plane intersections ------------------- Intersection 1 - Stations: 2 and 1 Convergence angle = 56.22073 deg R.A. = 267.13322 Dec = +56.72019 deg Best intersection: Stations 2 and 1 with Qconv = 56.22 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 3434897.02 +/- 4.63 m Y = -3232762.97 +/- 11.34 m Z = 4425159.17 +/- 17.49 m Vx = -673.23 +/- 17.22 m/s Vy = -12796.41 +/- 76.12 m/s Vz = 19107.40 +/- 124.96 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +2.358837e+01, -2.816681e+01, +4.799286e+01, +8.666449e+01, -1.587755e+02, +2.598327e+02 -2.816681e+01, +1.340732e+02, -2.044338e+02, -1.198227e+02, +2.467943e+02, -3.877587e+02 +4.799286e+01, -2.044338e+02, +3.182341e+02, +2.062451e+02, -3.482105e+02, +5.729111e+02 +8.666449e+01, -1.198227e+02, +2.062451e+02, +4.000480e+02, -3.788603e+02, +7.015969e+02 -1.587755e+02, +2.467943e+02, -3.482105e+02, -3.788603e+02, +6.702456e+03, -9.960527e+03 +2.598327e+02, -3.877587e+02, +5.729111e+02, +7.015969e+02, -9.960527e+03, +1.492307e+04 Timing offsets (from input data): 2: 0.000406 s 1: 0.000000 s Reference point on the trajectory: Time: 2018-10-09 01:21:30.945469 UTC Lon = -81.260484 +/- 0.0001 deg Lat = +43.361232 +/- 0.0001 deg Lat geo = +43.172118 +/- 0.0001 deg Ht = 99648.66 +/- 18.99 m JD dynamic = 2458400.557408906054 LST apparent = 316.7364236339 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 266.98839 +/- 0.0950 deg Dec = +56.15278 +/- 0.0175 deg Azimuth = +310.00226 +/- 0.0312 deg Elevation = +56.29356 +/- 0.0530 deg Vavg = 22.25493 +/- 0.0391 km/s Vinit = 23.00639 +/- 0.1457 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 268.00282 +/- 0.0950 deg Dec = +56.69509 +/- 0.0175 deg Azimuth = +311.01533 +/- 0.0312 deg Elevation = +56.83881 +/- 0.0530 deg Vavg = 22.11084 +/- 0.0391 km/s Vinit = 22.86229 +/- 0.1457 km/s Radiant (geocentric, J2000): R.A. = 262.76377 +/- 0.1450 deg Dec = +56.13933 +/- 0.0215 deg Vg = 20.15041 +/- 0.1678 km/s Vinf = 23.00639 +/- 0.1457 km/s Zc = 33.82828 +/- 0.0529 deg Zg = 36.13400 +/- 0.0816 deg Radiant (ecliptic geocentric, J2000): Lg = 248.35369 +/- 0.3783 deg Bg = +79.03208 +/- 0.0404 deg Vh = 38.41693 +/- 0.1112 km/s Radiant (ecliptic heliocentric, J2000): Lh = 282.29117 +/- 0.0311 deg Bh = +30.99614 +/- 0.1929 deg Vh_x = -7.01036 +/- 0.0193 km/s Vh_y = 32.17624 +/- 0.0312 km/s Vh_z = -19.78396 +/- 0.1662 km/s Orbit: La Sun = 195.452075 +/- 0.0000 deg a = 2.956338 +/- 0.0656 AU e = 0.663010 +/- 0.0094 i = 31.034680 +/- 0.1930 deg peri = 173.203773 +/- 0.1163 deg node = 195.452980 +/- 0.0000 deg Pi = 8.656753 +/- 0.1163 deg q = 0.996256 +/- 0.0001 AU f = 6.794242 +/- 0.1163 deg M = 1.032598 +/- 0.0752 deg Q = 4.916419 +/- 0.1312 AU n = 0.193898 +/- 0.0087 deg/day T = 5.083136 +/- 0.1597 years Last perihelion JD = 2458395.231934 (2018-10-03 17:33:59.087968) +/- 0.1067 days Tj = 2.727297 +/- 0.0485 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +9.056831e-05, +5.176171e-07, +9.062869e-04, -2.263191e-09, +1.625468e-05, +3.218908e-05 q , +5.176171e-07, +6.776950e-09, +8.526212e-06, -1.277047e-11, +1.676723e-07, +1.827936e-07 Tp , +9.062869e-04, +8.526212e-06, +1.200196e-02, -2.250156e-08, +2.281900e-04, +3.210552e-04 node, -2.263191e-09, -1.277047e-11, -2.250156e-08, +5.676896e-14, -4.027699e-10, -8.071527e-10 peri, +1.625468e-05, +1.676723e-07, +2.281900e-04, -4.027699e-10, +4.381761e-06, +5.751542e-06 i , +3.218908e-05, +1.827936e-07, +3.210552e-04, -8.071527e-10, +5.751542e-06, +1.147694e-05 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = 20.689288 a2 = 6.012851 Mean time residuals from time vs. length: Station with reference time: 1 Avg. res. = 1.827e-05 s Stddev = 4.27e-03 s Begin point on the trajectory: Lon = -81.260511 +/- 0.0000 deg Lat = 43.361248 +/- 0.0000 deg Ht = 99653.00 +/- 12.92 m End point on the trajectory: Lon = -81.208088 +/- 0.0000 deg Lat = 43.327926 +/- 0.0000 deg Ht = 90901.48 +/- 12.37 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, 11.237723, 7.875997, 98516.50, 91843.48, 0.000934, 1.35, 0.78, 30.02, 1.0000, None, None 1, False, -80.772100, 43.264200, 330.00, 18.922788, 5.673214, 99500.52, 91014.47, 0.002798, 4.65, 1.46, 16.35, 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, 0.054980, 2458400.556608796120, 195.26700, 11.08300, 15.26700, 78.91700, 15.26628, 78.91797, 321.59720, +53.79329, 321.59645, +53.79242, 3434892.42, -3232022.10, 4424051.41, 43.357203, -81.254196, 98516.50, 100033.28, 0.00, 1220.33, 0.15, 0.00, 22389.48, 0.85, 1.47, 3.51, None, None 1, 2, 0, 0.085980, 2458400.556609155145, 196.26000, 11.05300, 16.26000, 78.94700, 16.26047, 78.94629, 321.88395, +53.70117, 321.88464, +53.70181, 3434918.39, -3231651.37, 4423498.15, 43.355068, -81.250829, 97965.69, 99462.86, 666.50, 1886.82, -30.32, 21499.88, 22389.48, -0.62, -1.07, 2.56, None, None 2, 2, 0, 0.116980, 2458400.556609513704, 197.32000, 11.02700, 17.32000, 78.97300, 17.32020, 78.97266, 322.18850, +53.60475, 322.18903, +53.60505, 3434945.59, -3231263.27, 4422918.95, 43.352833, -81.247298, 97389.08, 98866.95, 1364.23, 2584.56, -29.55, 22507.52, 22389.48, -0.30, -0.52, 1.25, None, None 3, 2, 0, 0.147980, 2458400.556609872729, 198.42800, 11.00400, 18.42800, 78.99600, 18.42795, 78.99610, 322.50404, +53.50370, 322.50435, +53.50361, 3434973.52, -3230864.58, 4422323.95, 43.350536, -81.243667, 96796.76, 98256.11, 2081.00, 3301.33, -9.74, 23121.70, 22389.48, 0.08, 0.15, 0.35, None, None 4, 2, 0, 0.178980, 2458400.556610231288, 199.53700, 10.98400, 19.53700, 79.01600, 19.53718, 79.01550, 322.81644, +53.40113, 322.81736, +53.40157, 3435001.06, -3230471.62, 4421737.50, 43.348271, -81.240089, 96212.96, 97655.39, 2787.47, 4007.80, -0.24, 22789.25, 22546.59, -0.43, -0.74, 1.80, None, None 5, 2, 0, 0.209980, 2458400.556610590313, 200.52200, 10.96900, 20.52200, 79.03100, 20.52239, 79.02963, 323.09134, +53.30904, 323.09308, +53.31025, 3435025.25, -3230126.31, 4421222.16, 43.346280, -81.236961, 95699.96, 97128.52, 3408.27, 4628.60, -76.40, 20025.95, 22231.39, -1.16, -2.01, 4.93, None, None 6, 2, 0, 0.240980, 2458400.556610948872, 201.71300, 10.95800, 21.71300, 79.04200, 21.71301, 79.04197, 323.42343, +53.19971, 323.42423, +53.19974, 3435053.94, -3229716.92, 4420611.19, 43.343920, -81.233227, 95091.78, 96505.40, 4144.28, 5364.61, -37.36, 23742.13, 22280.68, -0.03, -0.05, 0.12, None, None 7, 2, 0, 0.271980, 2458400.556611307897, 202.76100, 10.95100, 22.76100, 79.04900, 22.76097, 79.04932, 323.71290, +53.10188, 323.71355, +53.10160, 3435078.94, -3229360.16, 4420078.77, 43.341863, -81.229990, 94561.80, 95963.52, 4785.67, 6005.99, -92.94, 20689.95, 22168.66, 0.27, 0.47, 1.17, None, None 8, 2, 0, 0.302980, 2458400.556611666456, 203.95300, 10.94800, 23.95300, 79.05200, 23.95303, 79.05302, 324.04073, +52.99039, 324.04094, +52.98950, 3435106.92, -3228960.84, 4419482.83, 43.339559, -81.226351, 93968.61, 95358.48, 5503.57, 6723.90, -72.00, 23158.20, 22182.35, 0.85, 1.48, 3.69, None, None 9, 2, 0, 0.334980, 2458400.556612036657, 204.85800, 10.94800, 24.85800, 79.05200, 24.85816, 79.05346, 324.28777, +52.90447, 324.28775, +52.90319, 3435128.12, -3228658.28, 4419031.29, 43.337814, -81.223629, 93519.14, 94900.80, 6047.52, 7267.84, -247.51, 16998.29, 21896.60, 1.21, 2.10, 5.26, None, None 10, 2, 0, 0.365980, 2458400.556612395681, 205.97100, 10.95000, 25.97100, 79.05000, 25.97094, 79.04969, 324.58889, +52.79665, 324.59044, +52.79692, 3435153.73, -3228292.66, 4418485.65, 43.335704, -81.220307, 92976.03, 94349.10, 6704.83, 7925.16, -287.16, 21203.67, 21710.25, -0.25, -0.44, 1.11, None, None 11, 2, 0, 0.396980, 2458400.556612754241, 207.32300, 10.95900, 27.32300, 79.04100, 27.32240, 79.03916, 324.95401, +52.66550, 324.95695, +52.66710, 3435184.35, -3227855.69, 4417833.52, 43.333182, -81.216311, 92326.97, 93691.64, 7490.42, 8710.74, -198.54, 25341.54, 21742.53, -1.51, -2.60, 6.62, None, None 12, 2, 0, 0.427980, 2458400.556613113265, 208.33200, 10.97100, 28.33200, 79.02900, 28.33162, 79.02808, 325.22686, +52.56786, 325.22918, +52.56866, 3435207.16, -3227530.20, 4417347.76, 43.331302, -81.213367, 91843.48, 93202.87, 8075.60, 9295.92, -310.32, 18876.71, 21667.78, -0.75, -1.30, 3.31, None, None 0, 1, 0, 0.000000, 2458400.556608165149, 105.36500, 22.82000, 285.36500, 67.18000, 285.36463, 67.17979, 285.32317, +44.95503, 285.32267, +44.95486, 3434846.01, -3232684.37, 4425039.79, 43.361016, -81.260214, 99500.52, 107447.26, 0.00, 29.67, 45.61, 0.00, 22851.72, -0.14, 0.46, 0.93, None, None 1, 1, 0, 0.032000, 2458400.556608535815, 105.19000, 22.77800, 285.19000, 67.22200, 285.18530, 67.21922, 285.39402, +44.89301, 285.39036, +44.89085, 3434866.86, -3232386.84, 4424595.75, 43.359304, -81.257542, 99058.44, 106938.52, 534.91, 564.58, -138.93, 16715.97, 22851.72, -1.84, 5.92, 11.96, None, None 2, 1, 0, 0.063000, 2458400.556608894374, 104.87400, 22.70700, 284.87400, 67.29300, 284.87228, 67.29198, 285.51537, +44.78094, 285.51410, +44.78015, 3434902.95, -3231871.73, 4423827.01, 43.356338, -81.252814, 98293.09, 106055.14, 1460.99, 1490.66, 90.18, 29873.45, 22851.72, -0.67, 2.16, 4.39, None, None 3, 1, 0, 0.094000, 2458400.556609253399, 104.65900, 22.66100, 284.65900, 67.33900, 284.65890, 67.33894, 285.59487, +44.70477, 285.59496, +44.70473, 3434926.96, -3231529.18, 4423315.79, 43.354365, -81.249712, 97784.15, 105469.37, 2076.83, 2106.50, 9.05, 19865.78, 22851.72, -0.04, 0.12, 0.25, None, None 4, 1, 0, 0.125000, 2458400.556609611958, 104.41600, 22.60900, 284.41600, 67.39100, 284.41787, 67.39213, 285.68490, +44.61904, 285.68663, +44.61991, 3434953.69, -3231147.67, 4422746.43, 43.352167, -81.246243, 97217.34, 104816.86, 2762.71, 2792.38, -2.03, 22125.20, 22646.01, 0.73, -2.34, 4.83, None, None 5, 1, 0, 0.156000, 2458400.556609970983, 104.16200, 22.55200, 284.16200, 67.44800, 284.16224, 67.44815, 285.78285, +44.53020, 285.78346, +44.53031, 3434981.57, -3230749.75, 4422152.58, 43.349874, -81.242619, 96626.16, 104136.50, 3478.10, 3507.77, 16.39, 23077.00, 22647.84, 0.09, -0.30, 0.62, None, None 6, 1, 0, 0.187000, 2458400.556610329542, 103.91600, 22.49600, 283.91600, 67.50400, 283.91266, 67.50195, 285.87898, +44.44468, 285.87695, +44.44313, 3435008.31, -3230368.18, 4421583.12, 43.347675, -81.239149, 96059.28, 103484.62, 4164.09, 4193.77, 5.42, 22128.95, 22593.21, -1.30, 4.16, 8.69, None, None 7, 1, 0, 0.218000, 2458400.556610688567, 103.66100, 22.44300, 283.66100, 67.55700, 283.65926, 67.55592, 285.97180, +44.35575, 285.97113, +44.35493, 3435034.99, -3229987.36, 4421014.79, 43.345479, -81.235685, 95493.54, 102834.42, 4848.73, 4878.41, -6.91, 22085.14, 22528.20, -0.68, 2.17, 4.56, None, None 8, 1, 0, 0.249000, 2458400.556611047126, 103.39300, 22.38800, 283.39300, 67.61200, 283.39318, 67.61211, 286.06858, +44.26262, 286.06953, +44.26271, 3435062.53, -3229594.25, 4420428.13, 43.343213, -81.232105, 94909.56, 102163.52, 5555.46, 5585.13, 2.85, 22797.64, 22515.69, 0.07, -0.22, 0.47, None, None 9, 1, 0, 0.280000, 2458400.556611406151, 103.19500, 22.34700, 283.19500, 67.65300, 283.19364, 67.65215, 286.14072, +44.19416, 286.14060, +44.19353, 3435082.78, -3229305.36, 4419996.99, 43.341547, -81.229508, 94480.38, 101671.75, 6074.84, 6104.51, -174.73, 16754.12, 22195.93, -0.53, 1.68, 3.58, None, None 10, 1, 0, 0.312000, 2458400.556611776352, 102.94900, 22.29800, 282.94900, 67.70200, 282.94881, 67.70188, 286.22783, +44.10916, 286.22875, +44.10907, 3435107.32, -3228955.07, 4419474.22, 43.339526, -81.226336, 93960.02, 101075.09, 6704.59, 6734.26, -264.43, 19679.73, 21902.66, -0.07, 0.24, 0.51, None, None 11, 1, 0, 0.343000, 2458400.556612135377, 102.62400, 22.22700, 282.62400, 67.77300, 282.61950, 67.77013, 286.35178, +43.99842, 286.34942, +43.99629, 3435139.85, -3228490.88, 4418781.47, 43.336848, -81.222084, 93270.50, 100283.53, 7539.12, 7568.79, -126.86, 26920.41, 21926.91, -1.74, 5.57, 12.00, None, None 12, 1, 0, 0.405000, 2458400.556612852961, 102.16700, 22.13900, 282.16700, 67.86100, 282.16357, 67.85878, 286.51033, +43.84198, 286.50905, +43.84035, 3435183.54, -3227867.34, 4417850.90, 43.333249, -81.216457, 92344.24, 99223.69, 8660.14, 8689.81, -399.78, 18080.91, 21670.35, -1.33, 4.24, 9.23, None, None 13, 1, 0, 0.436000, 2458400.556613211520, 101.75600, 22.06500, 281.75600, 67.93500, 281.76303, 67.93960, 286.64644, +43.70151, 286.65371, +43.70488, 3435221.12, -3227330.94, 4417050.38, 43.330152, -81.211521, 91547.54, 98310.17, 9624.48, 9654.15, -132.40, 31107.79, 21801.51, 2.73, -8.68, 19.10, None, None 14, 1, 0, 0.467000, 2458400.556613570545, 101.47900, 22.01400, 281.47900, 67.98600, 281.48818, 67.99207, 286.74001, +43.60759, 286.74919, +43.61201, 3435246.27, -3226972.04, 4416514.77, 43.328079, -81.208262, 91014.47, 97700.68, 10269.71, 10299.38, -184.14, 20813.77, 21856.44, 3.58, -11.35, 25.12, 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.