Orbital Analysis for matched events on 20210929_011139.812_UK

Summary for Event
-----------------
shower ID 23 EGE
Lg 84.73° Bg 2.66° Vg 69.49km/s
mass 0.01258g, abs. mag -0.3
Path Details
------------
start -4.59° 53.38° 115.91km
end   -4.82° 53.39° 104.30km

Orbit Details
-------------
Semimajor axis 9.28A.U., eccentricity 0.91, inclination 175.20°, Period 28.29Y, LA Sun 185.83°, last Perihelion 1993-07-14

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459486.549766349141
Time: 2021-09-29 01:11:39.812566 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK003F
 Convergence angle = 39.05062 deg
 R.A. =  86.41067  Dec = +23.59684 deg
Intersection 2 - Stations: UK000Y and UK003R
 Convergence angle = 42.20743 deg
 R.A. =  84.58132  Dec = +25.81627 deg
Intersection 3 - Stations: UK003F and UK003R
 Convergence angle = 3.63598 deg
 R.A. =  88.70076  Dec = +54.37497 deg

Best intersection: Stations UK000Y and UK003R with Qconv = 42.21 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3615640.99 +/- 35.14 m
 Y =   1413139.20 +/- 88.59 m
 Z =   5188908.29 +/- 72.00 m
 Vx =     6359.61 +/- 210.63 m/s
 Vy =    62777.58 +/- 481.50 m/s
 Vz =    31142.79 +/- 652.22 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.319039e+03, -1.815555e+03, +1.364631e+03, +5.399133e+03, -7.873740e+03, +7.116455e+03
-1.815555e+03, +8.357130e+03, -4.797086e+03, -8.098209e+03, +3.605129e+04, -3.432799e+04
+1.364631e+03, -4.797086e+03, +5.479234e+03, +7.432796e+03, -3.316910e+04, +3.154692e+04
+5.399133e+03, -8.098209e+03, +7.432796e+03, +3.356101e+04, -5.746274e+04, +5.095162e+04
-7.873740e+03, +3.605129e+04, -3.316910e+04, -5.746274e+04, +2.489723e+05, -2.334503e+05
+7.116455e+03, -3.432799e+04, +3.154692e+04, +5.095162e+04, -2.334503e+05, +2.195618e+05

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK001L: 0.000000 s
    UK003F: -0.000069 s
    UK003R: -0.000106 s

Reference point on the trajectory:
  Time: 2021-09-29 01:11:39.812566 UTC
  Lon     = +-4.592569 +/- 0.0013 deg
  Lat     = +53.379802 +/- 0.0005 deg
  Lat geo = +53.198672 +/- 0.0005 deg
  Ht      =  115866.52 +/- 56.97 m

  JD dynamic   = 2459486.550567090046 
  LST apparent = 21.3475748602 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  84.21545 +/- 0.1881 deg
  Dec       = +26.26888 +/- 0.4971 deg
  Azimuth   =  94.60066 +/- 0.3105 deg
  Elevation = +36.80986 +/- 0.4610 deg
  Vavg      =  68.36062 +/- 0.2090 km/s
  Vinit     =  70.36578 +/- 0.2292 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  84.33221 +/- 0.1881 deg
  Dec       = +26.17834 +/- 0.4971 deg
  Azimuth   =  94.57768 +/- 0.3105 deg
  Elevation = +36.67264 +/- 0.4610 deg
  Vavg      =  68.58674 +/- 0.2090 km/s
  Vinit     =  70.59190 +/- 0.2292 km/s
Radiant (geocentric, J2000):
  R.A.   =  84.14542 +/- 0.1883 deg
  Dec    = +25.98756 +/- 0.4987 deg
  Vg     =  69.48617 +/- 0.2321 km/s
  Vinf   =  70.36578 +/- 0.2292 km/s
  Zc     =  53.17583 +/- 0.4602 deg
  Zg     =  53.53655 +/- 0.4614 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  84.73347 +/- 0.1568 deg
  Bg     =  +2.65683 +/- 0.5031 deg
  Vh     =  40.93202 +/- 0.1967 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  76.00548 +/- 0.3011 deg
  Bh     =  +4.51649 +/- 0.8584 deg
  Vh_x   =  -9.86781 +/- 0.1759 km/s
  Vh_y   = -39.59378 +/- 0.2634 km/s
  Vh_z   =  -3.22323 +/- 0.6048 km/s
Orbit:
  La Sun = 185.825010 +/- nan deg
  a      =   9.283486 +/- 3.0314 AU
  e      =   0.905065 +/- 0.0160
  i      = 175.200758 +/- 0.9140 deg
  peri   = 221.674853 +/- 0.9021 deg
  node   = 185.813884 +/- 0.0057 deg
  Pi     =  47.488737 +/- 0.9069 deg
  q      =   0.881325 +/- 0.0040 AU
  f      = 318.312846 +/- 0.8973 deg
  M      = 359.035523 +/- 0.2222 deg
  Q      =  17.685647 +/- 6.0596 AU
  n      =   0.034845 +/- 0.0078 deg/day
  T      =  28.285722 +/- 16.9242 years
  Last perihelion JD = 2449182.689737 (1993-07-14 04:33:13.234840) +/- 6182.1797 days
  Tj     =  -0.571410 +/- 0.1030
Shower association:
  IAU No.  =   23
  IAU code =  EGE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.707654e-04, +5.390075e-05, -9.960428e+01, -1.574493e-06, -2.307839e-04, +2.688674e-04
q   , +5.390075e-05, +1.709178e-05, -1.967076e+01, -3.299689e-07, -6.647485e-05, +5.792377e-05
Tp  , -9.960428e+01, -1.967076e+01, +4.027355e+07, +6.403114e-01, +8.433135e+01, -9.902870e+01
node, -1.574493e-06, -3.299689e-07, +6.403114e-01, +1.025930e-08, +1.394520e-06, -1.580951e-06
peri, -2.307839e-04, -6.647485e-05, +8.433135e+01, +1.394520e-06, +2.629821e-04, -2.433607e-04
i   , +2.688674e-04, +5.792377e-05, -9.902870e+01, -1.580951e-06, -2.433607e-04, +2.705327e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.956162
 a2 = 19.961743

Mean time residuals from time vs. length:
  Station with reference time: UK000Y
  Avg. res. = 3.742e-06 s
  Stddev    = 1.93e-03 s

Begin point on the trajectory:
  Lon =    -4.591617 +/- 0.0012 deg
  Lat =    53.379756 +/- 0.0005 deg
  Ht  = 115914.96 +/- 51.46 m
End point on the trajectory:
  Lon =    -4.821881 +/- 0.0010 deg
  Lat =    53.390557 +/- 0.0004 deg
  Ht  = 104303.64 +/- 53.68 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, Comment
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   115914.96,   104354.13,          0.013151,     49.64,     18.80,             112.44, 0.8543,    True,    True, {"ff_name": "FF_UK000Y_20210929_011132_115_0609536.fits"}
    UK001L,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   115635.73,   104736.63,          0.047358,       nan,       nan,             113.72, 0.0000,    True,    True, {"ff_name": "FF_UK001L_20210929_011134_908_0592128.fits"}
    UK003F,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   114027.87,   105873.04,          0.017601,     52.61,     84.28,             108.26, 0.9018,    True,    True, {"ff_name": "FF_UK003F_20210929_011130_804_0610816.fits"}
    UK003R,   False,    -2.379340,    51.361330,  169.00,   3.715287,  13.503959,   114306.24,   104303.64,          0.009375,     23.32,     43.19,             103.32, 0.9469,    True,    True, {"ff_name": "FF_UK003R_20210929_011140_760_0214272.fits"}

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,     UK000Y,       0,  0.000000, 2459486.549766349141, 304.90293,  30.02317,              281.43574,  29.77395,       281.42752,       29.77444,    304.90293,     +30.02317,     304.90936,      +30.01867,  3615648.30,  1413211.33,  5188944.08,      53.379756,       -4.591617,  115914.96,  226963.00,       0.00,               80.85,   546.00,      0.00,           66818.38,    -10.04,     26.51,          25.76,  +3.44,  +1.66
  1,     UK000Y,       0,  0.040396, 2459486.549766816664, 304.53328,  29.58513,              281.36474,  29.23456,       281.38474,       29.23337,    304.53328,     +29.58513,     304.51776,      +29.59608,  3615439.33,  1411148.54,  5187920.76,      53.381063,       -4.619026,  114529.86,  227832.03,    2312.13,             2231.29,  -146.06,  57236.66,           66818.38,     24.62,    -65.08,          62.99,  +2.18,  +0.39
  2,     UK000Y,       0,  0.080920, 2459486.549767285585, 304.01924,  29.06433,              281.34017,  28.54780,       281.33134,       28.54833,    304.01924,     +29.06433,     304.02653,      +29.05949,  3615172.27,  1408512.29,  5186612.97,      53.382726,       -4.654027,  112760.45,  228969.42,    5267.03,             5186.19,   -42.66,  72917.32,           66818.38,    -11.01,     29.05,          27.99,  +1.85,  +0.05
  3,     UK000Y,       0,  0.121388, 2459486.549767754041, 303.58803,  28.55287,              281.26724,  27.91517,       281.28251,       27.91427,    303.58803,     +28.55287,     303.57645,      +28.56125,  3614922.70,  1406048.79,  5185390.87,      53.384272,       -4.686766,  111107.74,  230062.32,    8028.31,             7947.46,  -128.95,  68233.55,           66818.38,     19.22,    -50.78,          48.68,  +1.09,  -0.72
  4,     UK000Y,       0,  0.161900, 2459486.549768222962, 303.10984,  28.02062,              281.21837,  27.23788,       281.23103,       27.23714,    303.10984,     +28.02062,     303.10046,      +28.02758,  3614653.47,  1403391.13,  5184072.46,      53.385930,       -4.722092,  109325.62,  231272.01,   11007.21,            10926.36,    -0.71,  73531.23,           68507.16,     16.11,    -42.57,          40.60,  +0.76,  -1.06
  5,     UK000Y,       0,  0.202424, 2459486.549768691882, 302.61916,  27.48605,              281.18234,  26.54992,       281.17944,       26.55009,    302.61916,     +27.48605,     302.62231,      +27.48446,  3614377.35,  1400665.42,  5182720.28,      53.387622,       -4.758342,  107498.75,  232545.75,   14062.39,            13981.54,   202.97,  75391.85,           69974.02,     -3.73,      9.86,           9.35,  +0.74,  -1.09
  6,     UK000Y,       0,  0.242868, 2459486.549769160338, 302.20641,  27.04781,              281.16448,  25.97861,       281.13706,       25.98024,    302.20641,     +27.04781,     302.22938,      +27.03272,  3614146.07,  1398382.38,  5181587.71,      53.389030,       -4.788750,  105969.26,  233639.81,   16621.38,            16540.54,   -83.91,  63272.63,           69780.29,    -35.72,     94.19,          88.93,  +1.13,  -0.71
  7,     UK000Y,       0,  0.283308, 2459486.549769628327, 301.81498,  26.56281,              281.10007,  25.38370,       281.09319,       25.38411,    301.81498,     +26.56281,     301.82168,      +26.55902,  3613901.73,  1395970.47,  5180391.21,      53.390511,       -4.820882,  104354.13,  234820.01,   19324.84,            19243.99,  -226.05,  66850.96,           69455.76,     -9.03,     23.85,          22.40,  +1.98,  +0.13
  0,     UK001L,       1,  0.021633, 2459486.549766599666, 277.22982,  39.69485,              308.08121,  21.12675,       308.08111,       21.12680,    277.22982,     +39.69485,     277.23004,      +39.69482,  3615606.18,  1412795.54,  5188737.81,      53.380020,       -4.597197,  115635.73,  303511.45,       0.00,              385.21,  -671.89,      0.00,           74605.54,     -0.40,      0.37,           0.37,  +3.83,  +1.42
  1,     UK001L,       1,  0.062113, 2459486.549767068122, 277.00046,  39.04156,              307.78842,  20.50762,       307.75827,       20.52163,    277.00046,     +39.04156,     277.04034,      +39.03473,  3615253.48,  1409314.02,  5187010.69,      53.382222,       -4.643354,  113298.47,  305061.55,    3902.34,             4287.55,   382.05,  96401.78,           74605.54,   -122.24,    114.98,         113.47,  +2.39,  -0.03
  2,     UK001L,       1,  0.102425, 2459486.549767534714, 276.88150,  38.59081,              307.56405,  20.09837,       307.53983,       20.10962,    276.88150,     +38.59081,     276.91363,      +38.58534,  3615011.59,  1406926.25,  5185826.16,      53.383723,       -4.675084,  111696.33,  306151.71,    6578.74,             6963.94,   221.85,  66391.92,           74605.54,    -98.77,     92.94,          91.37,  +1.66,  -0.77
  3,     UK001L,       1,  0.142745, 2459486.549768001307, 276.71330,  38.17116,              307.39465,  19.68834,       307.33286,       19.71705,    276.71330,     +38.17116,     276.79449,      +38.15729,  3614779.66,  1404636.76,  5184690.39,      53.385154,       -4.705532,  110160.78,  307215.77,    9144.96,             9530.17,   -49.07,  63646.46,           74605.54,   -253.50,    238.17,         233.54,  +1.31,  -1.13
  4,     UK001L,       1,  0.183097, 2459486.549768468365, 276.57165,  37.67166,              307.15752,  19.22791,       307.09250,       19.25811,    276.57165,     +37.67166,     276.65688,      +37.65714,  3614506.55,  1401940.78,  5183352.97,      53.386832,       -4.741377,  108353.43,  308490.05,   12166.82,            12552.02,   133.39,  74887.43,           73292.50,   -268.48,    252.22,         246.30,  +1.32,  -1.13
  5,     UK001L,       1,  0.223401, 2459486.549768934958, 276.44989,  37.23330,              306.94996,  18.82418,       306.88272,       18.85539,    276.44989,     +37.23330,     276.53783,      +37.21835,  3614265.20,  1399558.41,  5182171.12,      53.388305,       -4.773090,  106757.04,  309637.44,   14837.16,            15222.36,   -32.30,  66254.90,           71913.14,   -279.18,    262.25,         255.16,  +1.52,  -0.93
  6,     UK001L,       1,  0.263753, 2459486.549769402016, 276.37413,  36.67014,              306.63263,  18.34424,       306.62108,       18.34959,    276.37413,     +36.67014,     276.39009,      +36.66758,  3613959.60,  1396541.73,  5180674.60,      53.390161,       -4.813228,  104736.63,  311115.01,   18218.48,            18603.68,   509.62,  83795.60,           72693.37,    -48.21,     45.39,          43.90,  +4.73,  +2.27
  0,     UK003F,       1,  0.011319, 2459486.549766480923, 263.00400,  46.12910,              320.90531,  19.83020,       320.91504,       19.82361,    263.00400,     +46.12910,     262.98778,      +46.12887,  3615578.62,  1412523.49,  5188602.85,      53.380192,       -4.600747,  115453.04,  319561.48,       0.00,              690.14,   358.85,      0.00,           68932.21,     53.36,    -33.35,          40.62,  +5.02,  +2.50
  1,     UK003F,       0,  0.051647, 2459486.549766947515, 262.98797,  45.72176,              320.66953,  19.48852,       320.66180,       19.49375,    262.98797,     +45.72176,     263.00104,      +45.72194,  3615363.57,  1410400.75,  5187549.80,      53.381536,       -4.628951,  114027.87,  320295.70,    2379.32,             3069.46,   -99.55,  58999.08,           68932.21,    -42.56,     26.57,          32.31,  +2.48,  -0.05
  2,     UK003F,       0,  0.092103, 2459486.549767415971, 262.98820,  45.15306,              320.32835,  19.01983,       320.31010,       19.03217,    262.98820,     +45.15306,     263.01866,      +45.15348,  3615061.22,  1407416.14,  5186069.19,      53.383415,       -4.668564,  112024.98,  321352.37,    5724.70,             6414.84,   399.12,  82691.88,           68932.21,   -100.94,     63.00,          76.37,  +1.62,  -0.91
  3,     UK003F,       0,  0.132415, 2459486.549767882563, 263.02981,  44.74144,              320.05694,  18.69683,       320.05618,       18.69734,    263.02981,     +44.74144,     263.03161,      +44.74146,  3614840.99,  1405242.16,  5184990.72,      53.384776,       -4.697480,  110566.76,  322143.76,    8161.45,             8851.59,    -0.72,  60447.27,           68932.21,     -4.21,      2.63,           3.18,  +1.42,  -1.12
  4,     UK003F,       0,  0.172791, 2459486.549768349621, 263.02194,  44.27322,              319.78343,  18.30697,       319.76916,       18.31660,    263.02194,     +44.27322,     263.04588,      +44.27355,  3614589.46,  1402759.22,  5183758.98,      53.386323,       -4.730501,  108902.00,  323066.88,   10944.52,            11634.66,   -58.74,  68928.74,           68543.41,    -79.52,     49.65,          59.85,  +1.32,  -1.23
  5,     UK003F,       0,  0.213191, 2459486.549768817611, 263.03970,  43.76456,              319.47127,  17.89361,       319.45862,       17.90214,    263.03970,     +43.76456,     263.06101,      +43.76485,  3614314.27,  1400042.80,  5182411.41,      53.388006,       -4.766632,  107081.57,  324100.68,   13989.28,            14679.42,   143.24,  75365.42,           69407.58,    -70.76,     44.18,          53.09,  +0.96,  -1.59
  6,     UK003F,       0,  0.253463, 2459486.549769283738, 263.03055,  43.42784,              319.27851,  17.61126,       319.25378,       17.62793,    263.03055,     +43.42784,     263.07135,      +43.42840,  3614131.52,  1398238.76,  5181516.46,      53.389119,       -4.790697,  105873.04,  324803.72,   16011.38,            16701.52,  -668.42,  50211.13,           67664.87,   -138.84,     86.64,         103.93,  +2.90,  +0.34
  0,     UK003R,       0,  0.041905, 2459486.549766835291, 256.93633,  50.39890,              326.67723,  21.37012,       326.66968,       21.37586,    256.93633,     +50.39890,     256.95065,      +50.39996,  3615405.58,  1410815.43,  5187755.51,      53.381274,       -4.623433,  114306.24,  296998.73,       0.00,             2604.66,   121.10,      0.00,           67961.78,    -41.41,     22.34,          32.68,  +3.93,  +1.57
  1,     UK003R,       0,  0.082113, 2459486.549767300952, 257.04287,  49.88162,              326.31718,  20.97072,       326.31530,       20.97215,    257.04287,     +49.88162,     257.04671,      +49.88188,  3615154.87,  1408340.57,  5186527.78,      53.382834,       -4.656303,  112645.22,  297643.95,    2774.01,             5378.66,    65.83,  68991.38,           67961.78,    -10.38,      5.60,           8.17,  +2.69,  +0.32
  2,     UK003R,       0,  0.122325, 2459486.549767766148, 257.14709,  49.35613,              325.95444,  20.56370,       325.95742,       20.56145,    257.14709,     +49.35613,     257.14213,      +49.35572,  3614899.13,  1405816.12,  5185275.45,      53.384418,       -4.689847,  110951.69,  298327.28,    5603.59,             8208.25,    65.87,  70366.79,           67961.78,     16.44,     -8.87,          12.92,  +2.22,  -0.15
  3,     UK003R,       0,  0.162521, 2459486.549768231343, 257.22104,  48.88098,              325.63904,  20.18862,       325.63637,       20.19064,    257.22104,     +48.88098,     257.22658,      +48.88134,  3614667.63,  1403530.92,  5184141.80,      53.385844,       -4.720246,  109419.32,  298968.33,    8165.03,            10769.68,  -201.12,  63723.51,           67961.78,    -14.77,      7.97,          11.58,  +1.74,  -0.64
  4,     UK003R,       0,  0.202753, 2459486.549768697005, 257.31835,  48.31568,              325.25915,  19.74565,       325.25605,       19.74799,    257.31835,     +48.31568,     257.32478,      +48.31609,  3614390.37,  1400793.97,  5182784.05,      53.387542,       -4.756642,  107584.88,  299762.07,   11232.80,            13837.46,    35.70,  76252.08,           69277.35,    -17.19,      9.28,          13.44,  +1.54,  -0.84
  5,     UK003R,       0,  0.242929, 2459486.549769162200, 257.43518,  47.84271,              324.92068,  19.38777,       324.93757,       19.37504,    257.43518,     +47.84271,     257.40599,      +47.84047,  3614156.04,  1398480.83,  5181636.55,      53.388970,       -4.787446,  106035.19,  300456.81,   13825.54,            16430.20,  -198.58,  64534.53,           68976.15,     94.09,    -50.83,          73.42,  +2.56,  +0.17
  6,     UK003R,       0,  0.283149, 2459486.549769627396, 257.50584,  47.31246,              324.57810,  18.96499,       324.58524,       18.95961,    257.50584,     +47.31246,     257.49437,      +47.31151,  3613894.09,  1395895.05,  5180353.79,      53.390557,       -4.821881,  104303.64,  301257.37,   16723.87,            19328.53,  -130.36,  72061.91,           69199.27,     39.95,    -21.57,          31.08,  +3.46,  +1.07

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.