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: 2458400.541111111175 Time: 2018-10-09 00:59:12.000006 UTC Plane intersections ------------------- Intersection 1 - Stations: 2 and 1 Convergence angle = 62.47329 deg R.A. = 266.93214 Dec = +56.46642 deg Best intersection: Stations 2 and 1 with Qconv = 62.47 deg Least squares solution ---------------------- State vector (ECI, epoch of date): X = 3069301.76 +/- 2.39 m Y = -3534406.16 +/- 6.52 m Z = 4463723.08 +/- 20.01 m Vx = -912.30 +/- 7.13 m/s Vy = -12603.36 +/- 13.86 m/s Vz = 18685.70 +/- 64.47 m/s State vector covariance matrix (X, Y, Z, Vx, Vy, Vz): +5.771955e+00, -3.608511e+00, +1.848636e+01, +1.699561e+01, -1.101518e+01, +6.858965e+01 -3.608511e+00, +4.267634e+01, -1.135473e+02, -1.971492e+01, +4.295791e+01, -2.217894e+02 +1.848636e+01, -1.135473e+02, +4.029064e+02, +8.112106e+01, -2.260238e+02, +1.081530e+03 +1.699561e+01, -1.971492e+01, +8.112106e+01, +6.637376e+01, -4.299663e+01, +2.681903e+02 -1.101518e+01, +4.295791e+01, -2.260238e+02, -4.299663e+01, +2.138012e+02, -9.083577e+02 +6.858965e+01, -2.217894e+02, +1.081530e+03, +2.681903e+02, -9.083577e+02, +4.155055e+03 Timing offsets (from input data): 2: 0.000000 s 1: -0.000962 s Reference point on the trajectory: Time: 2018-10-09 00:59:12.000006 UTC Lon = -81.431429 +/- 0.0001 deg Lat = +43.827601 +/- 0.0001 deg Lat geo = +43.638345 +/- 0.0001 deg Ht = 100298.35 +/- 17.47 m JD dynamic = 2458400.541911852080 LST apparent = 310.9712653946 deg Radiant (apparent in ECI which includes Earth's rotation, epoch of date): R.A. = 265.85985 +/- 0.0387 deg Dec = +55.93121 +/- 0.0634 deg Azimuth = +309.21260 +/- 0.1251 deg Elevation = +59.18721 +/- 0.0192 deg Vavg = 22.07192 +/- 0.0612 km/s Vinit = 22.55732 +/- 0.0609 km/s Radiant (apparent ground-fixed, epoch of date): R.A. = 266.97332 +/- 0.0387 deg Dec = +56.43813 +/- 0.0634 deg Azimuth = +310.30763 +/- 0.1251 deg Elevation = +59.76308 +/- 0.0192 deg Vavg = 21.93863 +/- 0.0612 km/s Vinit = 22.42403 +/- 0.0609 km/s Radiant (geocentric, J2000): R.A. = 261.85343 +/- 0.0538 deg Dec = +56.03968 +/- 0.0679 deg Vg = 19.63635 +/- 0.0700 km/s Vinf = 22.55732 +/- 0.0609 km/s Zc = 30.93275 +/- 0.0190 deg Zg = 33.12745 +/- 0.0292 deg Radiant (ecliptic geocentric, J2000): Lg = 245.95880 +/- 0.0809 deg Bg = +78.79573 +/- 0.0726 deg Vh = 38.05993 +/- 0.0308 km/s Radiant (ecliptic heliocentric, J2000): Lh = 282.06743 +/- 0.0170 deg Bh = +30.40719 +/- 0.1011 deg Vh_x = -6.86244 +/- 0.0084 km/s Vh_y = 32.09943 +/- 0.0095 km/s Vh_z = -19.26373 +/- 0.0734 km/s Orbit: La Sun = 195.436767 +/- 0.0000 deg a = 2.709812 +/- 0.0193 AU e = 0.632541 +/- 0.0026 i = 30.450506 +/- 0.1009 deg peri = 172.499462 +/- 0.0601 deg node = 195.437755 +/- 0.0000 deg Pi = 7.937217 +/- 0.0601 deg q = 0.995745 +/- 0.0000 AU f = 7.498401 +/- 0.0601 deg M = 1.310122 +/- 0.0250 deg Q = 4.423879 +/- 0.0385 AU n = 0.220951 +/- 0.0024 deg/day T = 4.460765 +/- 0.0475 years Last perihelion JD = 2458394.612438 (2018-10-03 02:41:54.608985) +/- 0.0516 days Tj = 2.884129 +/- 0.0139 Shower association: IAU No. = 9 IAU code = DRA Orbit covariance matrix: e , q (AU) , Tp (JD) , node (rad) , peri (rad) , i (rad) e , +6.862290e-06, +1.017912e-07, +1.227011e-04, -3.391180e-10, +2.441319e-06, +4.602099e-06 q , +1.017912e-07, +2.124579e-09, +2.365207e-06, -5.164739e-12, +4.830952e-08, +7.009707e-08 Tp , +1.227011e-04, +2.365207e-06, +2.677425e-03, -6.182897e-09, +5.438015e-05, +8.391334e-05 node, -3.391180e-10, -5.164739e-12, -6.182897e-09, +1.695000e-14, -1.232914e-10, -2.300159e-10 peri, +2.441319e-06, +4.830952e-08, +5.438015e-05, -1.232914e-10, +1.106579e-06, +1.673314e-06 i , +4.602099e-06, +7.009707e-08, +8.391334e-05, -2.300159e-10, +1.673314e-06, +3.121429e-06 Jacchia fit on lag = -|a1|*exp(|a2|*t): a1 = 7.943597 a2 = 7.003650 Mean time residuals from time vs. length: Station with reference time: 2 Avg. res. = 8.162e-06 s Stddev = 2.86e-03 s Begin point on the trajectory: Lon = -81.431413 +/- 0.0000 deg Lat = 43.827591 +/- 0.0001 deg Ht = 100295.52 +/- 14.90 m End point on the trajectory: Lon = -81.383095 +/- 0.0000 deg Lat = 43.797873 +/- 0.0001 deg Ht = 91416.98 +/- 10.60 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, 8.524597, 6.724261, 100295.52, 91416.98, 0.002916, 2.70, 5.25, 22.93, 1.0000, None, None 1, False, -80.772100, 43.264200, 330.00, 5.706900, 8.135640, 98759.20, 92296.77, 0.002544, 5.11, 2.16, 10.36, 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, 2458400.541111111175, 172.48300, 35.97000, 352.48300, 54.03000, 352.48284, 54.02983, 289.22132, +78.09342, 289.22053, +78.09353, 3069301.89, -3534404.32, 4463720.35, 43.827591, -81.431413, 100295.52, 123030.94, 0.00, 3.30, -62.07, 0.00, 22953.63, -0.37, 0.19, 0.70, None, None 1, 2, 0, 0.094000, 2458400.541112198960, 173.08400, 36.17200, 353.08400, 53.82800, 353.08121, 53.82506, 290.32781, +78.43309, 290.31440, +78.43501, 3069391.61, -3533164.91, 4461882.81, 43.821224, -81.421028, 98390.42, 121003.06, 2218.27, 2221.57, 35.82, 23598.61, 22953.63, -6.33, 3.26, 12.14, None, None 2, 2, 0, 0.125000, 2458400.541112557985, 173.25900, 36.23700, 353.25900, 53.76300, 353.25891, 53.76291, 290.65286, +78.53653, 290.65296, +78.53659, 3069417.98, -3532800.50, 4461342.53, 43.819351, -81.417988, 97830.29, 120408.06, 2870.49, 2873.79, -11.24, 21039.50, 22953.63, -0.20, 0.10, 0.38, None, None 3, 2, 0, 0.156000, 2458400.541112916544, 173.45400, 36.30600, 353.45400, 53.69400, 353.45434, 53.69435, 291.03169, +78.64813, 291.03402, +78.64790, 3069446.67, -3532404.15, 4460754.90, 43.817313, -81.414669, 97221.09, 119761.48, 3579.88, 3583.17, -1.13, 22883.28, 22953.63, 0.76, -0.39, 1.46, None, None 4, 2, 0, 0.187000, 2458400.541113275569, 173.64900, 36.37300, 353.64900, 53.62700, 353.64790, 53.62586, 291.42460, +78.75729, 291.41991, +78.75807, 3069474.90, -3532014.19, 4460176.75, 43.815308, -81.411406, 96621.73, 119125.99, 4277.82, 4281.11, -2.47, 22514.19, 22845.81, -2.43, 1.25, 4.74, None, None 5, 2, 0, 0.218000, 2458400.541113634128, 173.84500, 36.44100, 353.84500, 53.55900, 353.84253, 53.55644, 291.82822, +78.86695, 291.81681, +78.86869, 3069503.08, -3531624.96, 4459599.69, 43.813306, -81.408149, 96023.50, 118492.34, 4974.45, 4977.74, -5.11, 22471.92, 22765.25, -5.43, 2.79, 10.62, None, None 6, 2, 0, 0.249000, 2458400.541113993153, 174.04300, 36.51300, 354.04300, 53.48700, 354.04114, 53.48508, 292.23964, +78.98005, 292.23139, +78.98137, 3069531.60, -3531230.90, 4459015.46, 43.811278, -81.404849, 95417.85, 117851.47, 5679.73, 5683.03, 0.89, 22751.01, 22726.04, -4.05, 2.08, 7.97, None, None 7, 2, 0, 0.280000, 2458400.541114351712, 174.20800, 36.57600, 354.20800, 53.42400, 354.20810, 53.42410, 292.58476, +79.07653, 292.58641, +79.07646, 3069555.61, -3530899.25, 4458523.76, 43.809572, -81.402092, 94908.12, 117312.72, 6273.31, 6276.61, -104.80, 19147.83, 22481.63, 0.21, -0.11, 0.41, None, None 8, 2, 0, 0.311000, 2458400.541114710737, 174.40400, 36.64600, 354.40400, 53.35400, 354.40296, 53.35294, 293.01485, +79.18601, 293.01096, +79.18675, 3069583.25, -3530517.34, 4457957.52, 43.807606, -81.398898, 94321.15, 116692.83, 6956.86, 6960.16, -120.53, 22050.12, 22327.10, -2.22, 1.14, 4.41, None, None 9, 2, 0, 0.342000, 2458400.541115069296, 174.62700, 36.72600, 354.62700, 53.27400, 354.62476, 53.27173, 293.51715, +79.30998, 293.50737, +79.31160, 3069614.32, -3530088.09, 4457321.13, 43.805396, -81.395290, 93661.46, 115996.86, 7725.12, 7728.42, -51.55, 24782.44, 22350.06, -4.74, 2.44, 9.49, None, None 10, 2, 0, 0.374000, 2458400.541115439963, 174.78700, 36.78100, 354.78700, 53.21900, 354.78100, 53.21293, 293.89143, +79.39606, 293.86289, +79.40043, 3069636.45, -3529782.45, 4456867.98, 43.803822, -81.392763, 93191.71, 115501.97, 8272.15, 8275.45, -226.35, 17094.77, 22153.25, -12.65, 6.51, 25.40, None, None 11, 2, 0, 0.405000, 2458400.541115798522, 175.00800, 36.86700, 355.00800, 53.13300, 355.00475, 53.12973, 294.40190, +79.52342, 294.38725, +79.52581, 3069667.36, -3529355.33, 4456234.74, 43.801622, -81.389174, 92535.32, 114810.89, 9036.60, 9039.90, -161.18, 24659.72, 22117.03, -6.79, 3.49, 13.72, None, None 12, 2, 0, 0.436000, 2458400.541116157547, 175.26400, 36.96500, 355.26400, 53.03500, 355.26247, 53.03347, 295.01620, +79.66813, 295.01032, +79.66927, 3069702.50, -3528869.87, 4455514.99, 43.799121, -81.385076, 91789.29, 114026.43, 9905.48, 9908.78, 8.43, 28028.34, 22267.11, -3.16, 1.63, 6.43, None, None 13, 2, 0, 0.467000, 2458400.541116516106, 175.39100, 37.01200, 355.39100, 52.98800, 355.38755, 52.98456, 295.33203, +79.73785, 295.31660, +79.74042, 3069720.04, -3528627.63, 4455155.85, 43.797873, -81.383095, 91416.98, 113635.63, 10339.03, 10342.33, -257.30, 13985.51, 22151.91, -7.09, 3.65, 14.48, None, None 0, 1, 0, 0.076213, 2458400.541112014558, 139.91500, 40.15200, 319.91500, 49.84800, 319.92077, 49.85018, 249.38242, +62.01880, 249.38711, +62.02260, 3069374.24, -3533404.84, 4462238.53, 43.822457, -81.423048, 98759.20, 128084.41, 0.00, 1792.15, 7.62, 0.00, 22390.80, 3.76, -8.87, 15.51, None, None 1, 1, 0, 0.107213, 2458400.541112373117, 139.96100, 40.19700, 319.96100, 49.80300, 319.95711, 49.80153, 249.28433, +62.04690, 249.28184, +62.04433, 3069400.94, -3533035.96, 4461691.63, 43.820561, -81.419969, 98192.21, 127439.44, 660.21, 2452.36, -31.45, 21297.13, 22390.80, -2.53, 5.96, 10.48, None, None 2, 1, 0, 0.138213, 2458400.541112732142, 140.00200, 40.25800, 320.00200, 49.74200, 320.00281, 49.74231, 249.15219, +62.07117, 249.15339, +62.07170, 3069433.36, -3532588.14, 4461027.70, 43.818259, -81.416203, 97503.90, 126655.68, 1461.71, 3253.86, 70.77, 25854.75, 22390.80, 0.52, -1.24, 2.19, None, None 3, 1, 0, 0.170213, 2458400.541113102343, 140.03300, 40.30500, 320.03300, 49.69500, 320.03625, 49.69622, 249.05029, +62.08944, 249.05345, +62.09159, 3069457.95, -3532248.43, 4460524.04, 43.816512, -81.413382, 96981.75, 126062.41, 2069.72, 3861.87, -43.05, 19000.32, 22390.80, 2.08, -4.92, 8.75, None, None 4, 1, 0, 0.201213, 2458400.541113461368, 140.08500, 40.36100, 320.08500, 49.63900, 320.08108, 49.63753, 248.92792, +62.12092, 248.92583, +62.11833, 3069489.33, -3531814.92, 4459881.32, 43.814283, -81.409739, 96315.46, 125304.10, 2845.61, 4637.76, 33.57, 25028.83, 22682.31, -2.50, 5.91, 10.57, None, None 5, 1, 0, 0.232213, 2458400.541113819927, 140.12200, 40.41400, 320.12200, 49.58600, 320.11998, 49.58524, 248.81259, +62.14277, 248.81205, +62.14143, 3069516.80, -3531435.39, 4459318.63, 43.812331, -81.406566, 95732.14, 124640.88, 3524.89, 5317.04, 13.56, 21912.07, 22656.63, -1.28, 3.03, 5.45, None, None 6, 1, 0, 0.263213, 2458400.541114178952, 140.15300, 40.46300, 320.15300, 49.53700, 320.15457, 49.53759, 248.70602, +62.16086, 248.70829, +62.16190, 3069541.45, -3531094.85, 4458813.74, 43.810578, -81.403732, 95208.73, 124046.33, 4134.39, 5926.54, -76.21, 19661.40, 22329.45, 0.99, -2.35, 4.23, None, None 7, 1, 0, 0.294213, 2458400.541114537511, 140.19700, 40.51500, 320.19700, 49.48500, 320.19430, 49.48399, 248.59214, +62.18721, 248.59137, +62.18541, 3069569.04, -3530713.67, 4458248.61, 43.808617, -81.400544, 94622.89, 123380.45, 4816.62, 6608.77, -93.26, 22007.29, 22165.96, -1.70, 4.02, 7.29, None, None 8, 1, 0, 0.325213, 2458400.541114896536, 140.22600, 40.56300, 320.22600, 49.43700, 320.22749, 49.43756, 248.48758, +62.20396, 248.49005, +62.20495, 3069592.51, -3530389.43, 4457767.89, 43.806948, -81.397851, 94124.55, 122814.77, 5396.94, 7189.09, -212.21, 18720.15, 21861.29, 0.93, -2.21, 4.02, None, None 9, 1, 0, 0.356213, 2458400.541115255095, 140.27300, 40.62900, 320.27300, 49.37100, 320.27699, 49.37249, 248.34319, +62.23156, 248.34762, +62.23422, 3069625.53, -3529933.21, 4457091.51, 43.804599, -81.394009, 93423.43, 122017.26, 6213.46, 8005.61, -94.97, 26339.38, 21948.54, 2.47, -5.87, 10.77, None, None 10, 1, 0, 0.387213, 2458400.541115614120, 140.32700, 40.68500, 320.32700, 49.31500, 320.32140, 49.31291, 248.21956, +62.26412, 248.21707, +62.26038, 3069655.26, -3529522.47, 4456482.55, 43.802483, -81.390563, 92792.20, 121299.83, 6948.60, 8740.75, -59.11, 23714.08, 22076.06, -3.46, 8.21, 15.15, None, None 11, 1, 0, 0.418213, 2458400.541115972679, 140.35500, 40.73500, 320.35500, 49.26500, 320.35529, 49.26511, 248.11036, +62.27999, 248.11233, +62.28019, 3069678.60, -3529200.11, 4456004.60, 43.800823, -81.387885, 92296.77, 120737.79, 7525.57, 9317.72, -181.41, 18611.95, 22017.15, 0.18, -0.43, 0.79, 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.