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: 2458400.524016203824 Time: 2018-10-09 00:34:35.000010 UTC Plane intersections ------------------- Intersection 1 - Stations: 2 and 1 Convergence angle = 43.90419 deg R.A. = 266.26853 Dec = +56.08733 deg Best intersection: Stations 2 and 1 with Qconv = 43.90 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 2654958.55 +/- 2.18 m Y = -3835629.69 +/- 3.99 m Z = 4476976.24 +/- 19.62 m Vx = -1122.55 +/- 1.71 m/s Vy = -13121.22 +/- 10.00 m/s Vz = 19195.35 +/- 78.11 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +4.777457e+00, +5.659805e+00, -3.294767e+01, +1.311288e+01, +7.392964e+00, -9.813461e+01 +5.659805e+00, +1.604128e+01, -6.600715e+01, +1.809668e+01, +1.831284e+01, -1.863108e+02 -3.294767e+01, -6.600715e+01, +3.871401e+02, -1.139546e+02, -1.558914e+02, +1.318871e+03 +1.311288e+01, +1.809668e+01, -1.139546e+02, +5.412051e+01, +3.802461e+01, -4.610357e+02 +7.392964e+00, +1.831284e+01, -1.558914e+02, +3.802461e+01, +1.297646e+02, -7.924934e+02 -9.813461e+01, -1.863108e+02, +1.318871e+03, -4.610357e+02, -7.924934e+02, +6.118735e+03 Timing offsets (from input data): 2: 0.000000 s 1: 0.000124 s Reference point on the trajectory: Time: 2018-10-09 00:34:35.000010 UTC Lon = -81.541346 +/- 0.0000 deg Lat = +44.012036 +/- 0.0001 deg Lat geo = +43.822657 +/- 0.0001 deg Ht = 97793.66 +/- 14.99 m JD dynamic = 2458400.524816944730 LST apparent = 304.6903326310 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 265.11011 +/- 0.0301 deg Dec = +55.54756 +/- 0.0874 deg Azimuth = +308.82706 +/- 0.1826 deg Elevation = +62.43923 +/- 0.0274 deg Vavg = 21.69112 +/- 0.0629 km/s Vinit = 23.27849 +/- 0.0704 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 266.26971 +/- 0.0301 deg Dec = +55.98433 +/- 0.0874 deg Azimuth = +309.99005 +/- 0.1826 deg Elevation = +63.01574 +/- 0.0274 deg Vavg = 21.57067 +/- 0.0629 km/s Vinit = 23.15805 +/- 0.0704 km/s Radiant (geocentric, J2000): R.A. = 261.82005 +/- 0.0253 deg Dec = +55.78250 +/- 0.0907 deg Vg = 20.45954 +/- 0.0801 km/s Vinf = 23.27849 +/- 0.0704 km/s Zc = 27.67987 +/- 0.0278 deg Zg = 29.49923 +/- 0.0199 deg Radiant (ecliptic geocentric, J2000): Lg = 246.24398 +/- 0.1738 deg Bg = +78.54403 +/- 0.0852 deg Vh = 38.64775 +/- 0.0293 km/s Radiant (ecliptic heliocentric, J2000): Lh = 281.82699 +/- 0.0056 deg Bh = +31.25721 +/- 0.1206 deg Vh_x = -6.77135 +/- 0.0059 km/s Vh_y = 32.33653 +/- 0.0178 km/s Vh_z = -20.05357 +/- 0.0845 km/s Orbit: La Sun = 195.419880 +/- -0.0000 deg a = 3.142695 +/- 0.0251 AU e = 0.683225 +/- 0.0025 i = 31.307255 +/- 0.1208 deg peri = 172.433298 +/- 0.0280 deg node = 195.420833 +/- 0.0000 deg Pi = 7.854131 +/- 0.0280 deg q = 0.995528 +/- 0.0000 AU f = 7.564519 +/- 0.0280 deg M = 1.041987 +/- 0.0171 deg Q = 5.289862 +/- 0.0502 AU n = 0.176909 +/- 0.0021 deg/day T = 5.571267 +/- 0.0667 years Last perihelion JD = 2458394.634868 (2018-10-03 03:14:12.630740) +/- 0.0259 days Tj = 2.625618 +/- 0.0138 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +6.490065e-06, +4.247027e-08, +6.331009e-05, -3.845441e-10, +1.167610e-06, +5.267813e-06 q , +4.247027e-08, +3.659557e-10, +4.871001e-07, -2.244936e-12, +9.281949e-09, +3.074164e-08 Tp , +6.331009e-05, +4.871001e-07, +6.778007e-04, -3.526860e-09, +1.274732e-05, +4.830377e-05 node, -3.845441e-10, -2.244936e-12, -3.526860e-09, +2.381473e-14, -6.412322e-11, -3.262335e-10 peri, +1.167610e-06, +9.281949e-09, +1.274732e-05, -6.412322e-11, +2.406599e-07, +8.781933e-07 i , +5.267813e-06, +3.074164e-08, +4.830377e-05, -3.262335e-10, +8.781933e-07, +4.469143e-06 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = 35.015491 a2 = 6.776193 Mean time residuals from time vs. length: Station with reference time: 2 Avg. res. = 4.835e-06 s Stddev = 2.20e-03 s Begin point on the trajectory: Lon = -81.541361 +/- 0.0000 deg Lat = 44.012045 +/- 0.0001 deg Ht = 97796.69 +/- 13.48 m End point on the trajectory: Lon = -81.501393 +/- 0.0000 deg Lat = 43.987758 +/- 0.0001 deg Ht = 89437.31 +/- 11.68 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, 33.585973, 6.904489, 97796.69, 89437.31, 0.001973, 2.81, 3.59, 26.85, 1.0000, None, None 1, False, -80.772100, 43.264200, 330.00, 36.946118, 6.608034, 97389.15, 89597.02, 0.003340, 7.65, 2.31, 20.83, 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, 2458400.524016203824, 168.75600, 44.24000, 348.75600, 45.76000, 348.75899, 45.76176, 236.55102, +81.58477, 236.56607, +81.58637, 2654958.39, -3835631.61, 4476979.05, 44.012045, -81.541361, 97796.69, 135096.69, 0.00, 3.41, 30.06, 0.00, 23058.65, 5.06, -3.96, 9.81, None, None 1, 2, 0, 0.031000, 2458400.524016562849, 168.90200, 44.36400, 348.90200, 45.63600, 348.90291, 45.63654, 235.88421, +81.71281, 235.88898, +81.71331, 2654998.52, -3835162.55, 4476292.85, 44.009905, -81.537806, 97058.96, 134359.32, 832.16, 828.75, 133.77, 26843.94, 23058.65, 1.54, -1.20, 3.00, None, None 2, 2, 0, 0.062000, 2458400.524016921408, 168.99900, 44.45600, 348.99900, 45.54400, 349.00360, 45.54670, 235.36515, +81.79960, 235.38887, +81.80215, 2655026.94, -3834830.26, 4475806.74, 44.008388, -81.535325, 96536.35, 133838.01, 1421.68, 1418.27, 1.65, 19016.57, 23058.65, 7.74, -6.05, 15.14, None, None 3, 2, 0, 0.093000, 2458400.524017280433, 169.13300, 44.57300, 349.13300, 45.42700, 349.13675, 45.42920, 234.70164, +81.91659, 234.72125, +81.91869, 2655063.81, -3834399.32, 4475176.30, 44.006421, -81.532069, 95858.58, 133162.30, 2186.22, 2182.81, 44.56, 24662.79, 23058.65, 6.27, -4.91, 12.34, None, None 4, 2, 0, 0.124000, 2458400.524017638993, 169.23800, 44.66500, 349.23800, 45.33500, 349.24007, 45.33621, 234.16720, +82.00779, 234.17837, +82.00897, 2655092.65, -3834062.24, 4474683.19, 44.004882, -81.529550, 95328.45, 132634.70, 2784.23, 2780.82, -79.06, 19290.62, 22330.72, 3.45, -2.70, 6.82, None, None 5, 2, 0, 0.155000, 2458400.524017998017, 169.36700, 44.77900, 349.36700, 45.22100, 349.36823, 45.22172, 233.48830, +82.11937, 233.49532, +82.12008, 2655127.85, -3833650.82, 4474081.31, 44.003004, -81.526446, 94681.41, 131991.21, 3514.13, 3510.72, -70.79, 23545.22, 22296.24, 2.04, -1.60, 4.06, None, None 6, 2, 0, 0.186000, 2458400.524018356577, 169.47700, 44.88000, 349.47700, 45.12000, 349.47918, 45.12127, 232.86791, +82.21459, 232.88004, +82.21587, 2655158.39, -3833293.85, 4473559.09, 44.001373, -81.523769, 94120.00, 131433.75, 4147.44, 4144.03, -159.12, 20429.11, 22083.88, 3.61, -2.83, 7.20, None, None 7, 2, 0, 0.217000, 2458400.524018715601, 169.59900, 44.98700, 349.59900, 45.01300, 349.59882, 45.01289, 232.20036, +82.31854, 232.20031, +82.31843, 2655191.03, -3832912.31, 4473000.93, 43.999630, -81.520900, 93519.96, 130838.55, 4824.33, 4820.92, -203.86, 21835.27, 21974.67, -0.30, 0.24, 0.61, None, None 8, 2, 0, 0.248000, 2458400.524019074161, 169.71700, 45.09600, 349.71700, 44.90400, 349.71783, 44.90448, 231.49759, +82.41925, 231.50296, +82.41976, 2655223.35, -3832534.56, 4472448.31, 43.997904, -81.518059, 92925.88, 130250.01, 5494.50, 5491.09, -255.32, 21618.39, 21899.96, 1.36, -1.07, 2.74, None, None 9, 2, 0, 0.280000, 2458400.524019444361, 169.85200, 45.21700, 349.85200, 44.78300, 349.85143, 44.78267, 230.70035, +82.53286, 230.69853, +82.53251, 2655259.29, -3832114.48, 4471833.76, 43.995983, -81.514890, 92265.23, 129596.29, 6239.78, 6236.37, -254.96, 23289.97, 21940.31, -0.93, 0.73, 1.88, None, None 10, 2, 0, 0.311000, 2458400.524019803386, 169.96700, 45.32400, 349.96700, 44.67600, 349.96704, 44.67602, 229.97308, +82.62933, 229.97456, +82.62935, 2655290.40, -3831750.78, 4471301.69, 43.994321, -81.512159, 91693.27, 129031.22, 6885.02, 6881.61, -331.35, 20814.17, 21910.99, 0.06, -0.04, 0.12, None, None 11, 2, 0, 0.342000, 2458400.524020161945, 170.07500, 45.42400, 350.07500, 44.57600, 350.07467, 44.57581, 229.27764, +82.71902, 229.27735, +82.71882, 2655319.35, -3831412.41, 4470806.68, 43.992773, -81.509627, 91161.12, 128506.21, 7485.33, 7481.92, -452.67, 19364.98, 21796.37, -0.53, 0.42, 1.08, None, None 12, 2, 0, 0.373000, 2458400.524020520970, 170.22500, 45.56300, 350.22500, 44.43700, 350.22538, 44.43722, 228.28408, +82.84221, 228.28764, +82.84246, 2655359.01, -3830948.78, 4470128.43, 43.990653, -81.506110, 90432.05, 127787.44, 8307.85, 8304.44, -351.79, 26532.79, 21882.95, 0.61, -0.48, 1.26, None, None 13, 2, 0, 0.404000, 2458400.524020879529, 170.32500, 45.65700, 350.32500, 44.34300, 350.32498, 44.34299, 227.59307, +82.92354, 227.59466, +82.92352, 2655385.65, -3830637.49, 4469673.03, 43.989228, -81.503791, 89942.49, 127305.89, 8860.12, 8856.71, -521.15, 17815.16, 21821.48, -0.03, 0.03, 0.07, None, None 14, 2, 0, 0.435000, 2458400.524021238554, 170.43200, 45.75300, 350.43200, 44.24700, 350.42841, 44.24493, 226.87455, +83.00921, 226.85745, +83.00684, 2655413.13, -3830316.26, 4469203.10, 43.987758, -81.501393, 89437.31, 126809.51, 9430.01, 9426.60, -672.89, 18383.53, 21695.88, -5.75, 4.51, 11.89, None, None 0, 1, 0, 0.018981, 2458400.524016423151, 143.53200, 47.52700, 323.53200, 42.47300, 323.52967, 42.47242, 226.45457, +63.47390, 226.45434, +63.47210, 2654980.55, -3835372.49, 4476599.98, 44.010863, -81.539405, 97389.15, 142477.46, 0.00, 456.29, 41.09, 0.00, 23240.80, -1.31, 4.31, 6.52, None, None 1, 1, 0, 0.050981, 2458400.524016793817, 143.56900, 47.62300, 323.56900, 42.37700, 323.56779, 42.37670, 226.23115, +63.47655, 226.23121, +63.47561, 2655013.93, -3834982.34, 4476029.22, 44.009083, -81.536474, 96775.53, 141835.18, 692.17, 1148.47, -11.65, 21630.40, 23240.80, -0.68, 2.24, 3.41, None, None 2, 1, 0, 0.081981, 2458400.524017152376, 143.60600, 47.72600, 323.60600, 42.27400, 323.60877, 42.27469, 225.99251, +63.47717, 225.99318, +63.47933, 2655049.23, -3834569.80, 4475425.71, 44.007200, -81.533362, 96126.71, 141156.10, 1424.06, 1880.35, -1.40, 23609.12, 23240.80, 1.54, -5.09, 7.77, None, None 3, 1, 0, 0.112981, 2458400.524017511401, 143.64700, 47.83300, 323.64700, 42.16700, 323.65160, 42.16814, 225.74347, +63.47933, 225.74446, +63.48291, 2655085.75, -3834142.95, 4474801.26, 44.005251, -81.530138, 95455.39, 140453.80, 2181.34, 2637.63, 34.25, 24428.52, 23240.80, 2.56, -8.43, 12.94, None, None 4, 1, 0, 0.143981, 2458400.524017869961, 143.69100, 47.93000, 323.69100, 42.07000, 323.69050, 42.06988, 225.51472, +63.48590, 225.51527, +63.48551, 2655119.05, -3833753.68, 4474231.78, 44.003473, -81.527208, 94843.17, 139814.19, 2871.95, 3328.25, 3.23, 22277.85, 23180.67, -0.28, 0.91, 1.40, None, None 5, 1, 0, 0.174981, 2458400.524018228985, 143.72400, 48.01600, 323.72400, 41.98400, 323.72370, 41.98392, 225.31442, +63.48719, 225.31512, +63.48695, 2655147.85, -3833417.06, 4473739.34, 44.001936, -81.524692, 94313.77, 139262.08, 3469.15, 3925.44, -121.21, 19264.33, 22607.80, -0.17, 0.55, 0.86, None, None 6, 1, 0, 0.205981, 2458400.524018587545, 143.75700, 48.10500, 323.75700, 41.89500, 323.75798, 41.89524, 225.10760, +63.48747, 225.10855, +63.48824, 2655177.33, -3833072.40, 4473235.12, 44.000361, -81.522112, 93771.71, 138697.00, 4080.62, 4536.92, -231.36, 19725.07, 22094.90, 0.54, -1.79, 2.78, None, None 7, 1, 0, 0.236981, 2458400.524018946569, 143.79300, 48.20200, 323.79300, 41.79800, 323.79565, 41.79866, 224.88215, +63.48754, 224.88337, +63.48962, 2655209.22, -3832699.66, 4472689.83, 43.998658, -81.519311, 93185.51, 138085.94, 4741.90, 5198.19, -291.72, 21331.37, 21817.09, 1.45, -4.80, 7.49, None, None 8, 1, 0, 0.267981, 2458400.524019305129, 143.83500, 48.31400, 323.83500, 41.68600, 323.83977, 41.68718, 224.62161, +63.48759, 224.62312, +63.49134, 2655245.76, -3832272.59, 4472065.07, 43.996706, -81.516083, 92513.89, 137385.66, 5499.56, 5955.85, -255.69, 24440.73, 21861.45, 2.60, -8.61, 13.50, None, None 9, 1, 0, 0.298981, 2458400.524019664153, 143.87000, 48.41200, 323.87000, 41.58800, 323.87741, 41.58983, 224.39442, +63.48608, 224.39622, +63.49192, 2655277.28, -3831904.16, 4471526.08, 43.995022, -81.513315, 91934.48, 136782.60, 6153.20, 6609.49, -323.69, 21085.06, 21841.85, 4.03, -13.34, 21.01, None, None 10, 1, 0, 0.330981, 2458400.524020034354, 143.90900, 48.52300, 323.90900, 41.47700, 323.92031, 41.47980, 224.13739, +63.48357, 224.13953, +63.49249, 2655312.62, -3831491.03, 4470921.69, 43.993133, -81.510200, 91284.77, 136106.47, 6886.14, 7342.44, -335.65, 22904.65, 21881.00, 6.12, -20.29, 32.12, None, None 11, 1, 0, 0.361981, 2458400.524020393379, 143.96200, 48.62400, 323.96200, 41.37600, 323.96059, 41.37565, 223.89527, +63.49359, 223.89670, +63.49247, 2655345.73, -3831104.03, 4470355.55, 43.991363, -81.507285, 90676.19, 135473.78, 7572.71, 8029.01, -370.72, 22147.35, 21913.72, -0.76, 2.52, 4.01, None, None 12, 1, 0, 0.392981, 2458400.524020751938, 143.99700, 48.71900, 323.99700, 41.28100, 323.99658, 41.28090, 223.67445, +63.49205, 223.67607, +63.49171, 2655375.53, -3830755.73, 4469846.02, 43.989769, -81.504675, 90128.44, 134905.20, 8190.63, 8646.93, -474.43, 19932.97, 21868.33, -0.23, 0.75, 1.20, None, None 13, 1, 0, 0.423981, 2458400.524021110963, 144.03100, 48.81200, 324.03100, 41.18800, 324.03154, 41.18813, 223.45840, +63.49009, 223.46020, +63.49052, 2655404.44, -3830417.81, 4469351.67, 43.988223, -81.502146, 89597.02, 134354.09, 8790.14, 9246.44, -596.56, 19338.91, 21767.83, 0.29, -0.95, 1.53, 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.