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: 2458400.529270833358 Time: 2018-10-09 00:42:09.000002 UTC Plane intersections ------------------- Intersection 1 - Stations: 2 and 1 Convergence angle = 38.16855 deg R.A. = 267.63303 Dec = +55.78626 deg Best intersection: Stations 2 and 1 with Qconv = 38.17 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 2789759.39 +/- 5.89 m Y = -3736729.73 +/- 11.34 m Z = 4477812.01 +/- 24.52 m Vx = -938.87 +/- 19.53 m/s Vy = -12541.47 +/- 0.92 m/s Vz = 18454.53 +/- 61.43 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +3.679015e+01, +1.082376e+01, -8.967424e+01, +1.133198e+02, -1.165494e+01, -2.220990e+02 +1.082376e+01, +1.287025e+02, -2.043616e+02, +8.977171e+00, +1.919628e+00, -7.299754e+01 -8.967424e+01, -2.043616e+02, +6.166952e+02, -2.208538e+02, -9.150932e+00, +1.022530e+03 +1.133198e+02, +8.977171e+00, -2.208538e+02, +5.651988e+02, -7.542631e+01, -1.039146e+03 -1.165494e+01, +1.919628e+00, -9.150932e+00, -7.542631e+01, +2.173779e+01, +2.727493e+01 -2.220990e+02, -7.299754e+01, +1.022530e+03, -1.039146e+03, +2.727493e+01, +3.999994e+03 Timing offsets (from input data): 2: 0.000000 s 1: 0.000088 s Reference point on the trajectory: Time: 2018-10-09 00:42:09.000002 UTC Lon = -81.384323 +/- 0.0001 deg Lat = +44.027238 +/- 0.0001 deg Lat geo = +43.837838 +/- 0.0001 deg Ht = 97221.65 +/- 21.13 m JD dynamic = 2458400.530071574263 LST apparent = 306.7442009728 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 265.71873 +/- 0.1045 deg Dec = +55.72598 +/- 0.0882 deg Azimuth = +308.95766 +/- 0.1754 deg Elevation = +61.61684 +/- 0.0665 deg Vavg = 19.45965 +/- 0.0660 km/s Vinit = 22.33248 +/- 0.0508 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 266.90841 +/- 0.1045 deg Dec = +56.19615 +/- 0.0882 deg Azimuth = +310.14089 +/- 0.1754 deg Elevation = +62.21201 +/- 0.0665 deg Vavg = 19.33620 +/- 0.0660 km/s Vinit = 22.20903 +/- 0.0508 km/s Radiant (geocentric, J2000): R.A. = 261.97625 +/- 0.2618 deg Dec = +55.94421 +/- 0.1363 deg Vg = 19.37611 +/- 0.0586 km/s Vinf = 22.33248 +/- 0.0508 km/s Zc = 28.50259 +/- 0.1384 deg Zg = 30.56540 +/- 0.1451 deg Radiant (ecliptic geocentric, J2000): Lg = 246.43699 +/- 0.6252 deg Bg = +78.72399 +/- 0.1566 deg Vh = 37.92663 +/- 0.0178 km/s Radiant (ecliptic heliocentric, J2000): Lh = 282.12905 +/- 0.0983 deg Bh = +30.07050 +/- 0.1013 deg Vh_x = -6.89638 +/- 0.0534 km/s Vh_y = 32.08937 +/- 0.0345 km/s Vh_z = -19.00371 +/- 0.0629 km/s Orbit: La Sun = 195.425071 +/- -0.0000 deg a = 2.628504 +/- 0.0104 AU e = 0.621142 +/- 0.0016 i = 30.111677 +/- 0.1013 deg peri = 172.554641 +/- 0.2164 deg node = 195.426108 +/- 0.0000 deg Pi = 7.980750 +/- 0.2164 deg q = 0.995831 +/- 0.0002 AU f = 7.443128 +/- 0.2164 deg M = 1.366146 +/- 0.0351 deg Q = 4.261178 +/- 0.0210 AU n = 0.231282 +/- 0.0014 deg/day T = 4.261512 +/- 0.0253 years Last perihelion JD = 2458394.623218 (2018-10-03 02:57:26.019343) +/- 0.1689 days Tj = 2.943529 +/- 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 , +2.496781e-06, -1.963156e-07, -1.562478e-04, -1.134501e-10, -3.562682e-06, +1.442332e-06 q , -1.963156e-07, +4.108458e-08, +3.465683e-05, -1.503211e-12, +7.755744e-07, +1.844465e-08 Tp , -1.562478e-04, +3.465683e-05, +2.930531e-02, -1.647085e-09, +6.554029e-04, +2.035618e-05 node, -1.134501e-10, -1.503211e-12, -1.647085e-09, +2.070086e-14, -3.209651e-11, -2.626919e-10 peri, -3.562682e-06, +7.755744e-07, +6.554029e-04, -3.209651e-11, +1.466067e-05, +3.951285e-07 i , +1.442332e-06, +1.844465e-08, +2.035618e-05, -2.626919e-10, +3.951285e-07, +3.333633e-06 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = 0.000000 a2 = 0.000000 Mean time residuals from time vs. length: Station with reference time: 2 Avg. res. = 3.556e-06 s Stddev = 1.89e-03 s Begin point on the trajectory: Lon = -81.384359 +/- 0.0001 deg Lat = 44.027259 +/- 0.0001 deg Ht = 97228.53 +/- 11.42 m End point on the trajectory: Lon = -81.338394 +/- 0.0001 deg Lat = 43.999002 +/- 0.0002 deg Ht = 87862.86 +/- 21.73 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, 0.000000, 0.000000, 97200.31, 90548.86, 0.004569, 5.63, 9.11, 31.04, 1.0000, None, None 1, False, -80.772100, 43.264200, 330.00, 4.408309, 7.875611, 95457.98, 87947.02, 0.002063, 4.08, 2.34, 21.48, 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, 2458400.529270833358, 176.62100, 44.40800, 356.62100, 45.59200, 356.61010, 45.58497, 262.80247, +86.59678, 262.62812, +86.59609, 2789776.82, -3736732.59, 4477768.16, 44.026880, -81.384173, 97200.31, 134669.42, 0.00, 3.95, 2018.20, 0.00, 11190.80, -20.74, 12.82, 37.34, None, None 1, 2, 0, 0.031000, 2458400.529271192383, 176.62100, 44.41300, 356.62100, 45.58700, 356.61006, 45.57994, 262.74144, +86.60023, 262.56640, +86.59952, 2789777.95, -3736715.70, 4477743.65, 44.026803, -81.384167, 97174.03, 134644.37, 29.79, 25.84, 1353.77, 960.94, 11190.80, -20.81, 12.87, 37.49, None, None 2, 2, 0, 0.155000, 2458400.529272627551, 176.88400, 44.64800, 356.88400, 45.35200, 356.88276, 45.35120, 261.95315, +86.89560, 261.93207, +86.89551, 2789830.53, -3735927.39, 4476598.83, 44.023203, -81.378372, 95946.73, 133458.28, 1420.76, 1416.82, -0.53, 11217.53, 11190.80, -2.34, 1.45, 4.25, None, None 3, 2, 0, 0.187000, 2458400.529272997752, 177.01600, 44.76300, 357.01600, 45.23700, 357.02039, 45.23982, 261.55110, +87.04187, 261.63269, +87.04224, 2789855.79, -3735548.78, 4476049.01, 44.021474, -81.375473, 95357.32, 132889.59, 2088.80, 2084.86, -40.95, 20876.30, 11190.80, 8.25, -5.11, 15.07, None, None 4, 2, 0, 0.218000, 2458400.529273356311, 177.17500, 44.89000, 357.17500, 45.11000, 357.17837, 45.11216, 261.19603, +87.21033, 261.26264, +87.21063, 2789884.43, -3735119.39, 4475425.42, 44.019512, -81.372163, 94688.85, 132245.62, 2846.48, 2842.53, 30.41, 24441.03, 12691.09, 6.30, -3.90, 11.56, None, None 5, 2, 0, 0.249000, 2458400.529273715336, 177.31600, 44.99900, 357.31600, 45.00100, 357.31501, 45.00037, 260.91058, +87.35736, 260.89125, +87.35727, 2789909.24, -3734747.43, 4474885.25, 44.017812, -81.369313, 94109.79, 131688.76, 3502.80, 3498.85, 0.41, 21171.61, 13879.49, -1.84, 1.14, 3.40, None, None 6, 2, 0, 0.280000, 2458400.529274073895, 177.45800, 45.11600, 357.45800, 44.88400, 357.45727, 44.88354, 260.47441, +87.51037, 260.45971, +87.51029, 2789934.91, -3734362.57, 4474326.36, 44.016053, -81.366358, 93510.68, 131113.52, 4181.86, 4177.92, -6.84, 21905.44, 14911.46, -1.35, 0.84, 2.50, None, None 7, 2, 0, 0.311000, 2458400.529274432920, 177.57300, 45.21400, 357.57300, 44.78600, 357.57370, 44.78645, 260.02815, +87.63645, 260.04564, +87.63653, 2789956.04, -3734045.82, 4473866.36, 44.014604, -81.363949, 93017.57, 130640.83, 4740.77, 4736.82, -134.26, 18029.18, 15625.63, 1.30, -0.81, 2.42, None, None 8, 2, 0, 0.342000, 2458400.529274791479, 177.73200, 45.34300, 357.73200, 44.65700, 357.73104, 44.65639, 259.46636, +87.80647, 259.44407, +87.80636, 2789984.07, -3733625.51, 4473255.97, 44.012682, -81.360710, 92363.27, 130014.52, 5482.41, 5478.46, -78.94, 23923.88, 16377.29, -1.77, 1.09, 3.29, None, None 9, 2, 0, 0.373000, 2458400.529275150504, 177.86200, 45.45100, 357.86200, 44.54900, 357.86033, 44.54794, 258.89474, +87.94712, 258.85213, +87.94691, 2790007.21, -3733278.68, 4472752.29, 44.011096, -81.358060, 91823.35, 129498.62, 6094.39, 6090.44, -153.28, 19741.17, 16956.69, -3.07, 1.90, 5.75, None, None 10, 2, 0, 0.404000, 2458400.529275509063, 178.00200, 45.57100, 358.00200, 44.42900, 358.00197, 44.42898, 258.11060, +88.10089, 258.11149, +88.10089, 2790032.34, -3732901.90, 4472205.12, 44.009372, -81.355169, 91236.83, 128939.06, 6759.20, 6755.26, -174.78, 21445.78, 17463.75, -0.05, 0.03, 0.10, None, None 11, 2, 0, 0.436000, 2458400.529275879730, 178.17000, 45.71200, 358.17000, 44.28800, 358.16987, 44.28792, 257.07951, +88.28325, 257.07712, +88.28323, 2790061.82, -3732459.94, 4471563.29, 44.007349, -81.351759, 90548.86, 128283.90, 7539.04, 7535.10, -103.40, 24370.00, 17992.67, -0.24, 0.15, 0.46, None, None 0, 1, 0, 0.177048, 2458400.529272895306, 150.14500, 46.28500, 330.14500, 43.71500, 330.14458, 43.71484, 228.91847, +68.45325, 228.91891, +68.45293, 2789851.47, -3735613.44, 4476142.90, 44.021769, -81.375954, 95457.98, 136563.40, 0.00, 1970.78, 65.31, 0.00, 21614.47, -0.41, 0.72, 1.25, None, None 1, 1, 0, 0.208048, 2458400.529273253866, 150.20300, 46.37000, 330.20300, 43.63000, 330.20140, 43.62938, 228.67142, +68.48088, 228.67115, +68.47963, 2789874.95, -3735261.44, 4475631.72, 44.020161, -81.373264, 94910.00, 135988.76, 621.09, 2591.87, 0.08, 20035.18, 21614.47, -1.56, 2.70, 4.73, None, None 2, 1, 0, 0.239048, 2458400.529273612890, 150.26500, 46.46200, 330.26500, 43.53800, 330.26293, 43.53720, 228.40364, +68.50994, 228.40317, +68.50833, 2789900.08, -3734884.74, 4475084.66, 44.018440, -81.370376, 94323.56, 135373.94, 1285.78, 3256.56, -21.55, 21441.62, 21614.47, -2.00, 3.48, 6.11, None, None 3, 1, 0, 0.270048, 2458400.529273971450, 150.33200, 46.56400, 330.33200, 43.43600, 330.33108, 43.43564, 228.10657, +68.54059, 228.10705, +68.53987, 2789927.53, -3734473.20, 4474487.02, 44.016558, -81.367208, 93682.90, 134702.40, 2011.93, 3982.71, 18.29, 23424.22, 21614.47, -0.89, 1.54, 2.72, None, None 4, 1, 0, 0.301048, 2458400.529274330474, 150.38400, 46.64300, 330.38400, 43.35700, 330.38256, 43.35645, 227.87591, +68.56416, 227.87618, +68.56304, 2789948.65, -3734156.65, 4474027.31, 44.015111, -81.364801, 93190.10, 134187.08, 2570.49, 4541.27, -109.48, 18017.92, 21070.37, -1.38, 2.40, 4.26, None, None 5, 1, 0, 0.332048, 2458400.529274689034, 150.45000, 46.74500, 330.45000, 43.25500, 330.45004, 43.25502, 227.57782, +68.59346, 227.57924, +68.59349, 2789975.56, -3733753.19, 4473441.39, 44.013266, -81.361697, 92562.04, 133529.70, 3282.39, 5253.17, -83.90, 22964.51, 21185.51, 0.04, -0.07, 0.13, None, None 6, 1, 0, 0.363048, 2458400.529275048058, 150.51100, 46.83400, 330.51100, 43.16600, 330.50881, 43.16516, 227.31587, +68.62117, 227.31591, +68.61945, 2789999.12, -3733399.93, 4472928.37, 44.011650, -81.358995, 92012.10, 132955.00, 3905.71, 5876.49, -146.89, 20107.32, 21111.11, -2.09, 3.63, 6.50, None, None 7, 1, 0, 0.394048, 2458400.529275406618, 150.57800, 46.93500, 330.57800, 43.06500, 330.57548, 43.06403, 227.01867, +68.65069, 227.01864, +68.64870, 2790025.44, -3733005.41, 4472355.44, 44.009846, -81.355961, 91397.97, 132313.22, 4601.84, 6572.62, -137.09, 22455.56, 21192.14, -2.39, 4.17, 7.49, None, None 8, 1, 0, 0.425048, 2458400.529275765643, 150.63400, 47.02400, 330.63400, 42.97600, 330.63275, 42.97552, 226.75731, +68.67422, 226.75827, +68.67323, 2790048.20, -3732664.17, 4471859.89, 44.008284, -81.353355, 90866.76, 131759.02, 5203.95, 7174.73, -221.29, 19423.01, 21112.02, -1.18, 2.06, 3.72, None, None 9, 1, 0, 0.457048, 2458400.529276135843, 150.72500, 47.16100, 330.72500, 42.83900, 330.72421, 42.83869, 226.35207, +68.71334, 226.35347, +68.71271, 2790083.20, -3732139.43, 4471097.84, 44.005882, -81.349281, 90049.97, 130905.68, 6129.85, 8100.63, -3.85, 28934.46, 21512.83, -0.75, 1.30, 2.37, None, None 10, 1, 0, 0.488048, 2458400.529276494868, 150.77500, 47.24900, 330.77500, 42.75100, 330.77915, 42.75260, 226.09443, +68.73203, 226.09913, +68.73534, 2790104.84, -3731815.01, 4470626.70, 44.004397, -81.346809, 89544.94, 130379.89, 6702.29, 8673.08, -117.72, 18465.89, 21591.56, 3.90, -6.80, 12.39, None, None 11, 1, 0, 0.519048, 2458400.529276853427, 150.83000, 47.33300, 330.83000, 42.66700, 330.83277, 42.66807, 225.84514, +68.75485, 225.84906, +68.75706, 2790125.90, -3731499.24, 4470168.14, 44.002951, -81.344406, 89053.39, 129868.58, 7259.45, 9230.23, -246.89, 17972.80, 21497.88, 2.59, -4.52, 8.28, None, None 12, 1, 0, 0.550048, 2458400.529277212452, 150.87500, 47.39900, 330.87500, 42.60100, 330.87404, 42.60063, 225.64817, +68.77388, 225.64987, +68.77312, 2790142.50, -3731250.43, 4469806.81, 44.001811, -81.342540, 88666.03, 129466.70, 7698.48, 9669.26, -494.18, 14162.24, 21200.16, -0.89, 1.55, 2.86, None, None 13, 1, 0, 0.581048, 2458400.529277571011, 150.96200, 47.52200, 330.96200, 42.47800, 330.95586, 42.47564, 225.27888, +68.81119, 225.27755, +68.80627, 2790173.31, -3730788.50, 4469135.97, 43.999695, -81.338964, 87947.02, 128718.01, 8513.56, 10484.34, -365.42, 26292.86, 21158.22, -5.70, 9.95, 18.37, 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.