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: 2458400.551863425877 Time: 2018-10-09 01:14:40.999996 UTC Plane intersections ------------------- Intersection 1 - Stations: 2 and 1 Convergence angle = 41.67705 deg R.A. = 266.67862 Dec = +57.03168 deg Best intersection: Stations 2 and 1 with Qconv = 41.68 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 3296791.36 +/- 2.06 m Y = -3308847.03 +/- 4.81 m Z = 4474713.30 +/- 12.65 m Vx = -966.93 +/- 5.83 m/s Vy = -12653.85 +/- 6.92 m/s Vz = 19145.24 +/- 36.11 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +4.285161e+00, +3.506984e+00, -8.206535e+00, +1.215058e+01, +1.591070e+00, -7.446050e+00 +3.506984e+00, +2.335084e+01, -4.934881e+01, +8.018370e+00, +6.713728e+00, -6.159267e+01 -8.206535e+00, -4.934881e+01, +1.612752e+02, -1.668981e+01, -5.386615e+01, +3.297178e+02 +1.215058e+01, +8.018370e+00, -1.668981e+01, +5.652630e+01, +1.707339e+01, -7.127912e+01 +1.591070e+00, +6.713728e+00, -5.386615e+01, +1.707339e+01, +5.917333e+01, -2.594894e+02 -7.446050e+00, -6.159267e+01, +3.297178e+02, -7.127912e+01, -2.594894e+02, +1.307829e+03 Timing offsets (from input data): 2: 0.000000 s 1: -0.000659 s Reference point on the trajectory: Time: 2018-10-09 01:14:40.999996 UTC Lon = -81.388693 +/- 0.0001 deg Lat = +43.960399 +/- 0.0001 deg Lat geo = +43.771114 +/- 0.0001 deg Ht = 100571.94 +/- 10.56 m JD dynamic = 2458400.552664166782 LST apparent = 314.8954320184 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 265.63030 +/- 0.0331 deg Dec = +56.46093 +/- 0.0352 deg Azimuth = +309.87201 +/- 0.0643 deg Elevation = +56.94165 +/- 0.0184 deg Vavg = 22.23309 +/- 0.0354 km/s Vinit = 22.96944 +/- 0.0340 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 266.65451 +/- 0.0331 deg Dec = +56.99669 +/- 0.0352 deg Azimuth = +310.89167 +/- 0.0643 deg Elevation = +57.48744 +/- 0.0184 deg Vavg = 22.09259 +/- 0.0354 km/s Vinit = 22.82894 +/- 0.0340 km/s Radiant (geocentric, J2000): R.A. = 261.44344 +/- 0.0799 deg Dec = +56.45247 +/- 0.0600 deg Vg = 20.10854 +/- 0.0388 km/s Vinf = 22.96944 +/- 0.0340 km/s Zc = 33.17998 +/- 0.0434 deg Zg = 35.44696 +/- 0.0470 deg Radiant (ecliptic geocentric, J2000): Lg = 244.17430 +/- 0.1572 deg Bg = +79.12055 +/- 0.0683 deg Vh = 38.23262 +/- 0.0168 km/s Radiant (ecliptic heliocentric, J2000): Lh = 281.93268 +/- 0.0339 deg Bh = +31.10056 +/- 0.0587 deg Vh_x = -6.76881 +/- 0.0172 km/s Vh_y = 32.02973 +/- 0.0149 km/s Vh_z = -19.74874 +/- 0.0409 km/s Orbit: La Sun = 195.447388 +/- 0.0000 deg a = 2.823424 +/- 0.0114 AU e = 0.647395 +/- 0.0014 i = 31.148314 +/- 0.0585 deg peri = 172.341261 +/- 0.0737 deg node = 195.448329 +/- 0.0000 deg Pi = 7.789591 +/- 0.0737 deg q = 0.995553 +/- 0.0001 AU f = 7.656704 +/- 0.0737 deg M = 1.251966 +/- 0.0141 deg Q = 4.651295 +/- 0.0229 AU n = 0.207750 +/- 0.0013 deg/day T = 4.744220 +/- 0.0288 years Last perihelion JD = 2458394.526337 (2018-10-03 00:37:55.516284) +/- 0.0574 days Tj = 2.804127 +/- 0.0076 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +2.116450e-06, -1.628595e-08, -2.269397e-06, -8.387254e-11, -1.398505e-07, +1.219237e-06 q , -1.628595e-08, +5.157171e-09, +4.083832e-06, -1.883870e-12, +9.194581e-08, +2.718995e-08 Tp , -2.269397e-06, +4.083832e-06, +3.289950e-03, -1.935075e-09, +7.361335e-05, +2.797190e-05 node, -8.387254e-11, -1.883870e-12, -1.935075e-09, +5.007143e-15, -3.973066e-11, -7.267310e-11 peri, -1.398505e-07, +9.194581e-08, +7.361335e-05, -3.973066e-11, +1.650868e-06, +5.740289e-07 i , +1.219237e-06, +2.718995e-08, +2.797190e-05, -7.267310e-11, +5.740289e-07, +1.054785e-06 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = 7.321431 a2 = 8.356574 Mean time residuals from time vs. length: Station with reference time: 2 Avg. res. = 1.574e-05 s Stddev = 3.97e-03 s Begin point on the trajectory: Lon = -81.388774 +/- 0.0000 deg Lat = 43.960448 +/- 0.0001 deg Ht = 100585.19 +/- 6.97 m End point on the trajectory: Lon = -81.330725 +/- 0.0001 deg Lat = 43.924044 +/- 0.0001 deg Ht = 90758.94 +/- 12.46 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, 2.000626, 11.959550, 100561.34, 92872.94, 0.001725, 1.85, 3.35, 27.38, 1.0000, None, None 1, False, -80.772100, 43.264200, 330.00, 8.540430, 8.036881, 100353.56, 90756.99, 0.001711, 3.21, 2.29, 13.89, 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, 2458400.551863425877, 176.06700, 41.06100, 356.06700, 48.93900, 356.06769, 48.93970, 290.96584, +83.64096, 290.97231, +83.64054, 3296792.78, -3308852.81, 4474692.75, 43.960236, -81.388731, 100561.34, 132169.72, 0.00, 3.19, -107.62, 0.00, 23431.06, 1.68, -0.93, 2.99, None, None 1, 2, 0, 0.031000, 2458400.551863784902, 176.29700, 41.16200, 356.29700, 48.83800, 356.29762, 48.83863, 291.79512, +83.79858, 291.80117, +83.79819, 3296831.11, -3308352.32, 4473937.84, 43.957435, -81.384194, 99801.59, 131370.35, 906.56, 903.37, 83.15, 29243.84, 23431.06, 1.50, -0.83, 2.69, None, None 2, 2, 0, 0.063000, 2458400.551864155103, 176.46400, 41.23300, 356.46400, 48.76700, 356.46187, 48.76485, 292.43771, +83.90997, 292.41743, +83.91132, 3296858.66, -3307992.53, 4473395.17, 43.955421, -81.380972, 99255.44, 130796.65, 1558.25, 1555.07, 2.54, 20365.40, 23431.06, -5.12, 2.83, 9.23, None, None 3, 2, 0, 0.094000, 2458400.551864513662, 176.63300, 41.31400, 356.63300, 48.68600, 356.63421, 48.68722, 293.07977, +84.03014, 293.09197, +84.02936, 3296887.31, -3307618.41, 4472830.86, 43.953327, -81.377613, 98687.54, 130200.79, 2235.92, 2232.73, -29.22, 21860.14, 23431.06, 2.89, -1.60, 5.24, None, None 4, 2, 0, 0.125000, 2458400.551864872687, 176.82800, 41.40000, 356.82800, 48.60000, 356.82779, 48.59979, 293.88760, +84.16087, 293.88606, +84.16101, 3296919.17, -3307202.51, 4472203.55, 43.950998, -81.373863, 98056.25, 129539.24, 2989.25, 2986.06, 14.70, 24300.99, 23344.71, -0.50, 0.27, 0.91, None, None 5, 2, 0, 0.156000, 2458400.551865231246, 176.99900, 41.47800, 356.99900, 48.52200, 356.99869, 48.52169, 294.62060, +84.27681, 294.61813, +84.27702, 3296947.24, -3306835.90, 4471650.57, 43.948944, -81.370573, 97499.77, 128956.91, 3653.31, 3650.12, -30.66, 21421.34, 23047.90, -0.74, 0.41, 1.35, None, None 6, 2, 0, 0.187000, 2458400.551865590271, 177.20000, 41.57100, 357.20000, 48.42900, 357.20042, 48.42942, 295.52132, +84.41293, 295.52638, +84.41264, 3296979.98, -3306408.39, 4471005.73, 43.946549, -81.366714, 96850.88, 128278.74, 4427.68, 4424.50, 34.30, 24979.80, 23146.45, 0.99, -0.55, 1.83, None, None 7, 2, 0, 0.218000, 2458400.551865948830, 177.36600, 41.65100, 357.36600, 48.34900, 357.36848, 48.35146, 296.29152, +84.52714, 296.31770, +84.52541, 3297007.28, -3306052.02, 4470468.20, 43.944552, -81.363519, 96309.97, 127714.25, 5073.20, 5070.01, -29.60, 20823.03, 22995.42, 5.78, -3.20, 10.67, None, None 8, 2, 0, 0.249000, 2458400.551866307855, 177.55100, 41.73200, 357.55100, 48.26800, 357.54996, 48.26698, 297.22270, +84.64539, 297.21311, +84.64613, 3297036.49, -3305670.52, 4469892.76, 43.942413, -81.360088, 95730.93, 127110.74, 5764.22, 5761.04, -47.99, 22291.20, 22878.02, -2.40, 1.32, 4.44, None, None 9, 2, 0, 0.280000, 2458400.551866666414, 177.76600, 41.83600, 357.76600, 48.16400, 357.76759, 48.16557, 298.32985, +84.79014, 298.34753, +84.78899, 3297071.08, -3305218.87, 4469211.52, 43.939881, -81.356003, 95045.46, 126397.31, 6582.32, 6579.13, 60.68, 26390.14, 23008.74, 3.65, -2.02, 6.82, None, None 10, 2, 0, 0.311000, 2458400.551867025439, 177.90300, 41.89800, 357.90300, 48.10200, 357.90214, 48.10115, 299.08598, +84.87714, 299.07828, +84.87778, 3297092.76, -3304935.75, 4468784.49, 43.938293, -81.353490, 94615.75, 125950.79, 7095.13, 7091.95, -135.92, 16542.39, 22787.47, -1.97, 1.09, 3.69, None, None 11, 2, 0, 0.343000, 2458400.551867395639, 178.09400, 41.99200, 358.09400, 48.00800, 358.09544, 48.00941, 300.16442, +85.00399, 300.18099, +85.00291, 3297123.31, -3304536.92, 4468182.91, 43.936056, -81.349901, 94010.45, 125322.49, 7817.56, 7814.37, -145.80, 22575.74, 22650.84, 3.27, -1.81, 6.15, None, None 12, 2, 0, 0.374000, 2458400.551867754664, 178.25800, 42.07100, 358.25800, 47.92900, 358.25959, 47.93055, 301.14486, +85.10964, 301.16319, +85.10842, 3297149.23, -3304198.41, 4467672.32, 43.934157, -81.346871, 93496.70, 124789.99, 8430.72, 8427.53, -242.05, 19779.33, 22474.12, 3.58, -1.98, 6.76, None, None 13, 2, 0, 0.405000, 2458400.551868113223, 178.45900, 42.16900, 358.45900, 47.83100, 358.46167, 47.83359, 302.40814, +85.23803, 302.43813, +85.23594, 3297180.71, -3303787.39, 4467052.36, 43.931850, -81.343163, 92872.94, 124144.34, 9175.21, 9172.03, -206.97, 24016.08, 22407.14, 5.96, -3.30, 11.32, None, None 0, 1, 0, 0.003943, 2458400.551863464992, 147.47200, 43.19400, 327.47200, 46.80600, 327.46871, 46.80397, 245.70537, +66.91151, 245.70053, +66.90915, 3296803.26, -3308715.93, 4474486.30, 43.959470, -81.387469, 100353.56, 136281.63, 0.00, 244.74, 43.69, 0.00, 22791.16, -4.19, 5.87, 10.91, None, None 1, 1, 0, 0.034943, 2458400.551863824017, 147.52500, 43.24100, 327.52500, 46.75900, 327.52230, 46.75733, 245.58049, +66.94514, 245.57664, +66.94320, 3296828.21, -3308390.22, 4473995.02, 43.957648, -81.384561, 99859.13, 135713.20, 589.97, 834.71, -75.75, 19031.36, 22791.16, -3.43, 4.80, 8.97, None, None 2, 1, 0, 0.065943, 2458400.551864182577, 147.59800, 43.30800, 327.59800, 46.69200, 327.59922, 46.69275, 245.40221, +66.99127, 245.40427, +66.99215, 3296862.75, -3307939.16, 4473314.67, 43.955123, -81.380485, 99174.43, 134924.76, 1406.99, 1651.74, 31.85, 26355.57, 22791.16, 1.53, -2.15, 4.04, None, None 3, 1, 0, 0.096943, 2458400.551864541601, 147.66500, 43.36000, 327.66500, 46.64000, 327.66242, 46.63841, 245.26236, +67.03411, 245.25897, +67.03225, 3296891.32, -3307566.10, 4472751.95, 43.953034, -81.377135, 98608.13, 134273.53, 2082.75, 2327.49, -1.81, 21798.41, 22791.16, -3.24, 4.55, 8.58, None, None 4, 1, 0, 0.128943, 2458400.551864911802, 147.74300, 43.43300, 327.74300, 46.56700, 327.74541, 46.56848, 245.06710, +67.08318, 245.07116, +67.08492, 3296927.89, -3307088.57, 4472031.68, 43.950360, -81.372815, 97883.30, 133439.28, 2947.70, 3192.45, 130.85, 27029.95, 23685.73, 3.00, -4.21, 7.99, None, None 5, 1, 0, 0.159943, 2458400.551865270827, 147.79700, 43.48100, 327.79700, 46.51900, 327.79964, 46.52062, 244.93803, +67.11726, 244.94257, +67.11918, 3296952.35, -3306769.19, 4471549.94, 43.948570, -81.369965, 97398.51, 132882.67, 3526.22, 3770.96, -0.05, 18661.88, 23223.23, 3.28, -4.60, 8.77, None, None 6, 1, 0, 0.190943, 2458400.551865629386, 147.86300, 43.53600, 327.86300, 46.46400, 327.86413, 46.46469, 244.78929, +67.15910, 244.79174, +67.15992, 3296980.81, -3306397.54, 4470989.36, 43.946488, -81.366627, 96834.40, 132234.53, 4199.41, 4444.15, -36.28, 21715.71, 22898.31, 1.40, -1.96, 3.76, None, None 7, 1, 0, 0.221943, 2458400.551865988411, 147.94300, 43.60100, 327.94300, 46.39900, 327.94185, 46.39829, 244.61271, +67.20986, 244.61195, +67.20902, 3297014.39, -3305959.17, 4470328.15, 43.944031, -81.362666, 96169.04, 131469.61, 4993.45, 5238.20, 48.34, 25614.33, 22987.41, -1.42, 1.99, 3.83, None, None 8, 1, 0, 0.252943, 2458400.551866346970, 148.00500, 43.65600, 328.00500, 46.34400, 328.00426, 46.34355, 244.46350, +67.24884, 244.46348, +67.24831, 3297041.59, -3305604.03, 4469792.47, 43.942040, -81.359482, 95630.02, 130850.85, 5636.73, 5881.48, -17.79, 20750.99, 22881.04, -0.90, 1.26, 2.45, None, None 9, 1, 0, 0.283943, 2458400.551866705995, 148.06400, 43.71000, 328.06400, 46.29000, 328.06451, 46.29031, 244.31684, +67.28578, 244.31876, +67.28615, 3297067.74, -3305262.49, 4469277.32, 43.940125, -81.356424, 95111.65, 130256.12, 6255.37, 6500.11, -108.57, 19956.02, 22668.26, 0.61, -0.86, 1.68, None, None 10, 1, 0, 0.314943, 2458400.551867064554, 148.13000, 43.76500, 328.13000, 46.23500, 328.12841, 46.23403, 244.16630, +67.32742, 244.16530, +67.32625, 3297095.16, -3304904.45, 4468737.27, 43.938117, -81.353212, 94568.24, 129632.66, 6903.90, 7148.64, -169.46, 20920.36, 22472.98, -1.93, 2.71, 5.29, None, None 11, 1, 0, 0.345943, 2458400.551867423579, 148.20200, 43.82900, 328.20200, 46.17100, 328.20122, 46.17053, 243.99121, +67.37251, 243.99153, +67.37194, 3297125.87, -3304503.49, 4468132.48, 43.935868, -81.349599, 93959.71, 128934.23, 7630.18, 7874.93, -152.59, 23428.46, 22396.67, -0.93, 1.31, 2.57, None, None 12, 1, 0, 0.376943, 2458400.551867782138, 148.27700, 43.89700, 328.27700, 46.10300, 328.27804, 46.10363, 243.80475, +67.41929, 243.80782, +67.42006, 3297157.88, -3304085.55, 4467502.09, 43.933523, -81.345827, 93325.44, 128206.34, 8387.22, 8631.96, -104.98, 24420.46, 22416.89, 1.24, -1.75, 3.46, None, None 13, 1, 0, 0.408943, 2458400.551868152805, 148.32800, 43.94100, 328.32800, 46.05900, 328.32695, 46.05836, 243.68342, +67.45123, 243.68361, +67.45045, 3297179.00, -3303809.75, 4467086.09, 43.931976, -81.343386, 92906.85, 127727.57, 8886.78, 9131.53, -337.71, 15611.43, 22229.23, -1.25, 1.77, 3.50, None, None 14, 1, 0, 0.439943, 2458400.551868511364, 148.38900, 44.00000, 328.38900, 46.00000, 328.39095, 46.00118, 243.52135, +67.48888, 243.52599, +67.49033, 3297205.69, -3303461.17, 4466560.31, 43.930019, -81.340260, 92377.84, 127121.47, 9518.18, 9762.92, -415.74, 20367.57, 22061.15, 2.31, -3.26, 6.48, None, None 15, 1, 0, 0.470943, 2458400.551868870389, 148.47600, 44.07500, 328.47600, 45.92500, 328.47744, 45.92587, 243.31329, +67.54321, 243.31732, +67.54428, 3297240.71, -3303003.95, 4465870.65, 43.927452, -81.336120, 91684.00, 126325.60, 10346.37, 10591.12, -296.96, 26715.98, 22051.14, 1.69, -2.39, 4.78, None, None 16, 1, 0, 0.501943, 2458400.551869228948, 148.53400, 44.12400, 328.53400, 45.87600, 328.53271, 45.87522, 243.17674, +67.57945, 243.17698, +67.57850, 3297263.71, -3302703.61, 4465417.64, 43.925765, -81.333445, 91228.20, 125804.29, 10890.39, 11135.13, -462.36, 17548.78, 21956.36, -1.51, 2.13, 4.28, None, None 17, 1, 0, 0.532943, 2458400.551869587973, 148.59300, 44.17600, 328.59300, 45.82400, 328.59043, 45.82244, 243.03182, +67.61610, 243.03036, +67.61418, 3297287.49, -3302393.11, 4464949.30, 43.924021, -81.330675, 90756.99, 125265.37, 11452.82, 11697.56, -609.35, 18142.86, 21823.26, -3.00, 4.24, 8.56, 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.