Orbital Analysis for matched events on 20210929_051355.229_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 126.40° Bg 10.25° Vg 62.22km/s
mass 0.05896g, abs. mag -1.0
Path Details
------------
start -3.80° 49.53° 109.48km
end   -4.01° 49.56° 92.23km

Orbit Details
-------------
Semimajor axis 4.78A.U., eccentricity 0.92, inclination 154.36°, Period 10.45Y, LA Sun 185.99°, last Perihelion 2021-08-19

Full details below
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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459486.718000345863
Time: 2021-09-29 05:13:55.233705 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003C
 Convergence angle = 24.38261 deg
 R.A. = 132.14816  Dec = +28.55900 deg
Intersection 2 - Stations: UK0021 and UK003K
 Convergence angle = 11.34782 deg
 R.A. = 130.86889  Dec = +28.19126 deg
Intersection 3 - Stations: UK003C and UK003K
 Convergence angle = 13.03920 deg
 R.A. = 133.02535  Dec = +29.24945 deg

Best intersection: Stations UK0021 and UK003C with Qconv = 24.38 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    523478.14 +/- 103.34 m
 Y =   4186282.70 +/- 280.33 m
 Z =   4912326.86 +/- 80.65 m
 Vx =   -36875.81 +/- 8.93 m/s
 Vy =    41366.02 +/- 876.10 m/s
 Vz =    30379.37 +/- 559.07 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.966446e+03, -2.234793e+04, -6.891685e+03, +1.346517e+03, -5.836412e+04, +1.751154e+02
-2.234793e+04, +6.737918e+04, +1.761955e+04, +1.186673e+03, +1.898500e+05, -2.751819e+03
-6.891685e+03, +1.761955e+04, +5.515271e+03, -6.218346e+02, +4.632777e+04, +5.081727e+02
+1.346517e+03, +1.186673e+03, -6.218346e+02, +4.889676e+03, +9.374647e+03, -1.551889e+03
-5.836412e+04, +1.898500e+05, +4.632777e+04, +9.374647e+03, +6.562180e+05, -1.245561e+04
+1.751154e+02, -2.751819e+03, +5.081727e+02, -1.551889e+03, -1.245561e+04, +4.963773e+03

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK003C: -1.464121 s
    UK003K: -0.203600 s

Reference point on the trajectory:
  Time: 2021-09-29 05:13:55.233705 UTC
  Lon     = +-3.797836 +/- 0.0018 deg
  Lat     = +49.529723 +/- 0.0014 deg
  Lat geo = +49.342815 +/- 0.0014 deg
  Ht      =  109478.12 +/- 230.70 m

  JD dynamic   = 2459486.718801131006 
  LST apparent = 82.8723853965 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 131.71546 +/- 0.6077 deg
  Dec       = +28.73165 +/- 0.2963 deg
  Azimuth   = 100.88991 +/- 0.8619 deg
  Elevation = +47.75367 +/- 0.1928 deg
  Vavg      =  61.99415 +/- 0.8256 km/s
  Vinit     =  63.19715 +/- 0.5661 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 131.92393 +/- 0.6077 deg
  Dec       = +28.63087 +/- 0.2963 deg
  Azimuth   = 100.81209 +/- 0.8619 deg
  Elevation = +47.55154 +/- 0.1928 deg
  Vavg      =  62.19769 +/- 0.8256 km/s
  Vinit     =  63.40068 +/- 0.5661 km/s
Radiant (geocentric, J2000):
  R.A.   = 131.67544 +/- 0.6164 deg
  Dec    = +28.57553 +/- 0.2935 deg
  Vg     =  62.21551 +/- 0.5749 km/s
  Vinf   =  63.19715 +/- 0.5661 km/s
  Zc     =  42.21134 +/- 0.1954 deg
  Zg     =  42.55754 +/- 0.2030 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 126.39770 +/- 0.4525 deg
  Bg     = +10.25048 +/- 0.4259 deg
  Vh     =  39.81869 +/- 0.3119 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 148.88867 +/- 1.0271 deg
  Bh     = +16.14691 +/- 0.6530 deg
  Vh_x   =  32.74652 +/- 0.0718 km/s
  Vh_y   = -19.76280 +/- 0.8049 km/s
  Vh_z   = -11.07362 +/- 0.3603 km/s
Orbit:
  La Sun = 185.990211 +/- nan deg
  a      =   4.780347 +/- 0.9293 AU
  e      =   0.919236 +/- 0.0085
  i      = 154.361742 +/- 1.4618 deg
  peri   =  73.547190 +/- 2.2949 deg
  node   = 185.991364 +/- 0.0001 deg
  Pi     = 259.538554 +/- 2.2948 deg
  q      =   0.386082 +/- 0.0159 AU
  f      = 106.451671 +/- 2.2949 deg
  M      =   3.809761 +/- 0.7188 deg
  Q      =   9.174612 +/- 1.8435 AU
  n      =   0.094301 +/- 0.0177 deg/day
  T      =  10.451767 +/- 3.3888 years
  Last perihelion JD = 2459446.318676 (2021-08-19 19:38:53.649127) +/- 0.1284 days
  Tj     =   0.408317 +/- 0.1699
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.009739e-05, +1.067399e-04, +8.144913e-04, -8.051953e-09, +2.721670e-04, +1.631220e-04
q   , +1.067399e-04, +2.162037e-04, +1.170772e-03, -1.649699e-08, +5.422389e-04, +3.421163e-04
Tp  , +8.144913e-04, +1.170772e-03, +1.390936e-02, -8.626500e-08, +3.078423e-03, +1.663394e-03
node, -8.051953e-09, -1.649699e-08, -8.626500e-08, +1.290401e-12, -4.132333e-08, -2.684567e-08
peri, +2.721670e-04, +5.422389e-04, +3.078423e-03, -4.132333e-08, +1.362685e-03, +8.548255e-04
i   , +1.631220e-04, +3.421163e-04, +1.663394e-03, -2.684567e-08, +8.548255e-04, +5.612674e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 69.058352

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 2.016e-06 s
  Stddev    = 1.42e-03 s

Begin point on the trajectory:
  Lon =    -3.797836 +/- 0.0021 deg
  Lat =    49.529723 +/- 0.0014 deg
  Ht  = 109478.12 +/- 259.50 m
End point on the trajectory:
  Lon =    -4.009148 +/- 0.0005 deg
  Lat =    49.555783 +/- 0.0012 deg
  Ht  = 92234.10 +/- 127.76 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   107614.61,    92647.24,          0.013898,      6.59,     39.26,              60.51, 0.7576,    True,    True, {"ff_name": "FF_UK0021_20210929_051350_287_0962048.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,  28.211240,   0.000000,   109478.12,    92687.01,          0.014410,      9.95,     35.67,              22.89, 0.1513,    True,    True, {"ff_name": "FF_UK003C_20210929_051351_225_0955904.fits"}
    UK003K,   False,    -4.388944,    50.464439,  133.00,   0.000014,  46.101639,   106730.96,    92234.10,          0.006771,      0.54,     17.01,              39.10, 0.3977,    True,    True, {"ff_name": "FF_UK003K_20210929_051347_513_0941568.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,     UK0021,       1,  0.000000, 2459486.718000345863,  76.13396,   0.09160,              189.05493,  39.04831,       189.04721,       39.04099,     76.13396,      +0.09160,      76.13919,       +0.08371,   523615.34,  4186128.80,  4912213.84,      49.529987,       -3.799928,  109304.07,  171336.35,       0.00,              235.12,   278.00,      0.00,           61077.33,     27.92,      4.67,          34.07,  +3.49,  +2.32
  1,     UK0021,       0,  0.040484, 2459486.718000814319,  75.57929,  -0.28507,              189.71322,  38.61637,       189.71322,       38.61637,     75.57929,      -0.28507,      75.57946,       -0.28507,   524947.18,  4184634.78,  4911116.62,      49.532548,       -3.820570,  107614.61,  170216.40,    2282.49,             2517.62,     2.02,  56380.13,           61077.33,      0.00,      0.00,           0.00,  +0.87,  -0.29
  2,     UK0021,       0,  0.081020, 2459486.718001283705,  74.96035,  -0.69611,              190.43974,  38.13926,       190.44192,       38.14129,     74.96035,      -0.69611,      74.95922,       -0.69389,   526403.78,  4183000.82,  4909916.64,      49.535346,       -3.843145,  105767.30,  169018.42,    4778.78,             5013.90,   -63.45,  61582.02,           61077.33,     -7.74,     -1.29,           9.57,  +0.32,  -0.82
  3,     UK0021,       0,  0.121580, 2459486.718001753092,  74.27961,  -1.11172,              191.23337,  37.64552,       191.21294,       37.62665,     74.27961,      -1.11172,      74.29385,       -1.13244,   527944.27,  4181272.75,  4908647.53,      49.538303,       -3.867027,  103814.05,  167782.69,    7418.85,             7653.97,    13.34,  65090.46,           61077.33,     71.79,     12.04,          89.48,  +0.20,  -0.92
  4,     UK0021,       0,  0.162144, 2459486.718002222478,  73.65342,  -1.55375,              191.94404,  37.12739,       191.94407,       37.12743,     73.65342,      -1.55375,      73.65407,       -1.55372,   529403.78,  4179635.53,  4907445.15,      49.541101,       -3.889678,  101963.91,  166642.38,    9920.13,            10155.25,   -48.91,  61662.57,           61612.81,     -0.12,     -0.02,           0.16,  +0.10,  -1.01
  5,     UK0021,       0,  0.202752, 2459486.718002692331,  72.95309,  -2.01584,              192.73254,  36.57476,       192.73344,       36.57558,     72.95309,      -2.01584,      72.95334,       -2.01492,   530980.12,  4177867.24,  4906146.51,      49.544121,       -3.914146,   99966.15,  165444.53,   12621.64,            12856.76,    86.29,  66526.52,           62468.93,     -3.12,     -0.52,           3.94,  -0.00,  -1.09
  6,     UK0021,       0,  0.243312, 2459486.718003162183,  72.29706,  -2.43692,              193.46262,  36.06387,       193.45671,       36.05856,     72.29706,      -2.43692,      72.30202,       -2.44287,   532423.85,  4176247.71,  4904957.13,      49.546883,       -3.936586,   98136.88,  164379.16,   15095.88,            15331.00,    -2.75,  61001.94,           62617.17,     20.22,      3.39,          25.72,  -0.11,  -1.19
  7,     UK0021,       0,  0.283912, 2459486.718003632035,  71.61626,  -2.89265,              194.20608,  35.51028,       194.20642,       35.51059,     71.61626,      -2.89265,      71.61721,       -2.89230,   533921.55,  4174567.65,  4903723.28,      49.549746,       -3.959874,   96239.67,  163306.40,   17662.61,            17897.73,    -1.82,  63219.96,           62729.20,     -1.19,     -0.20,           1.52,  +0.02,  -1.05
  8,     UK0021,       0,  0.324548, 2459486.718004102353,  70.85295,  -3.36113,              195.03514,  34.92579,       195.01353,       34.90669,     70.85295,      -3.36113,      70.86867,       -3.38288,   535536.15,  4172756.44,  4902393.12,      49.552829,       -3.984985,   94194.87,  162187.54,   20429.69,            20664.81,   197.18,  68094.33,           63139.88,     72.74,     12.22,          93.80,  +0.04,  -1.01
  9,     UK0021,       0,  0.365052, 2459486.718004570808,  70.28141,  -3.74199,              195.64129,  34.45456,       195.62506,       34.44031,     70.28141,      -3.74199,      70.29371,       -3.75832,   536758.44,  4171385.32,  4901386.17,      49.555161,       -4.004048,   92647.24,  161367.73,   22524.42,            22759.54,  -267.83,  51716.61,           62726.71,     54.30,      9.12,          70.37,  +0.60,  -0.44
  0,     UK003C,       0,  0.003835, 2459486.718000390101, 114.98719,  12.19366,              132.59748,  43.25112,       132.59748,       43.25112,    114.98719,     +12.19366,     114.98721,      +12.19366,   523478.14,  4186282.70,  4912326.86,      49.529723,       -3.797836,  109478.12,  158201.06,       0.00,                0.00,  -199.51,      0.00,           64484.83,     -0.00,      0.00,           0.00,  +1.18,  +0.18
  1,     UK003C,       0,  0.043847, 2459486.718000853434, 114.76195,  11.90239,              133.05414,  43.10126,       133.06706,       43.12613,    114.76195,     +11.90239,     114.74152,      +11.91973,   524966.72,  4184612.87,  4911100.53,      49.532585,       -3.820885,  107589.83,  155844.78,    2551.09,             2551.09,  -177.06,  63758.22,           64484.83,    -69.66,     19.56,          95.76,  +0.54,  -0.42
  2,     UK003C,       0,  0.083819, 2459486.718001315836, 114.50056,  11.63429,              133.53662,  42.98714,       133.54196,       42.99727,    114.50056,     +11.63429,     114.49250,      +11.64137,   526433.60,  4182967.37,  4909892.07,      49.535404,       -3.843615,  105729.48,  153529.09,    5065.02,             5065.02,  -189.25,  62892.08,           64484.83,    -28.02,      7.84,          39.09,  +0.25,  -0.68
  3,     UK003C,       0,  0.123799, 2459486.718001778703, 114.21630,  11.33474,              134.06489,  42.85418,       134.06398,       42.85248,    114.21630,     +11.33474,     114.21823,      +11.33355,   528004.44,  4181205.26,  4908597.97,      49.538418,       -3.867962,  103737.77,  151057.06,    7757.09,             7757.09,   -23.80,  67335.53,           64484.83,      4.63,     -1.29,           6.56,  +0.12,  -0.78
  4,     UK003C,       0,  0.163787, 2459486.718002241571, 113.95797,  11.04714,              134.55318,  42.71809,       134.55142,       42.71485,    113.95797,     +11.04714,     113.96135,      +11.04486,   529431.52,  4179604.41,  4907422.30,      49.541155,       -3.890112,  101928.75,  148817.55,   10202.79,            10202.79,  -105.23,  61160.76,           64051.95,      8.73,     -2.43,          12.56,  +0.04,  -0.82
  5,     UK003C,       0,  0.203771, 2459486.718002704438, 113.66196,  10.71921,              135.10959,  42.56157,       135.10578,       42.55464,    113.66196,     +10.71921,     113.66859,      +10.71435,   531012.89,  4177830.48,  4906119.52,      49.544184,       -3.914656,   99924.63,  146344.60,   12912.92,            12912.92,    78.02,  67780.37,           64460.88,     18.38,     -5.12,          26.89,  -0.22,  -1.05
  6,     UK003C,       0,  0.243763, 2459486.718003167305, 113.36682,  10.37828,              135.67075,  42.39093,       135.66925,       42.38825,    113.36682,     +10.37828,     113.37008,      +10.37639,   532575.26,  4176077.87,  4904832.39,      49.547173,       -3.938924,   97945.07,  143909.97,   15590.48,            15590.48,   228.20,  66952.35,           64873.92,      7.02,     -1.96,          10.45,  -0.35,  -1.14
  7,     UK003C,       0,  0.283727, 2459486.718003629707, 113.05705,  10.07138,              136.22617,  42.25497,       136.20949,       42.22552,    113.05705,     +10.07138,     113.08288,      +10.05063,   534031.91,  4174443.85,  4903632.36,      49.549957,       -3.961577,   96099.89,  141647.82,   18086.87,            18086.87,   198.99,  62466.08,           64845.47,     76.07,    -21.09,         114.95,  -0.15,  -0.91
  8,     UK003C,       0,  0.323743, 2459486.718004093040, 112.78468,   9.71981,              136.76197,  42.06046,       136.75962,       42.05638,    112.78468,      +9.71981,     112.78946,       +9.71693,   535476.31,  4172823.57,  4902442.42,      49.552715,       -3.984057,   94270.64,  139412.81,   20562.26,            20562.26,   145.48,  61860.00,           64632.99,     10.41,     -2.90,          15.98,  -0.17,  -0.89
  9,     UK003C,       0,  0.363727, 2459486.718004555441, 112.51723,   9.42653,              137.25473,  41.91412,       137.24858,       41.90357,    112.51723,      +9.42653,     112.52762,       +9.41908,   536727.02,  4171420.56,  4901412.05,      49.555101,       -4.003557,   92687.01,  137483.58,   22705.70,            22705.70,  -237.95,  53607.54,           63923.45,     26.58,     -7.38,          41.39,  +0.52,  -0.17
  0,     UK003K,       1,  0.013502, 2459486.718000502326,  98.25310,   5.85023,              157.85824,  43.42519,       157.84494,       43.40528,     98.25310,      +5.85023,      98.26741,       +5.83324,   523986.75,  4185712.17,  4911907.86,      49.530701,       -3.805692,  108832.90,  156731.46,       0.00,              871.63,    61.22,      0.00,           61323.31,     60.51,     -1.90,          79.67,  +4.22,  +3.24
  1,     UK003K,       0,  0.054018, 2459486.718000971247,  97.74838,   5.41178,              158.67109,  43.11820,       158.66797,       43.11363,     97.74838,      +5.41178,      97.75190,       +5.40787,   525643.90,  4183853.23,  4910542.65,      49.533887,       -3.831342,  106730.96,  154532.71,    2840.00,             3711.63,   340.72,  70095.72,           61323.31,     13.75,     -0.44,          18.36,  +1.27,  +0.32
  2,     UK003K,       0,  0.094430, 2459486.718001438770,  97.34096,   5.06394,              159.32002,  42.87256,       159.32251,       42.87615,     97.34096,      +5.06394,      97.33875,       +5.06702,   526937.62,  4182401.98,  4909476.84,      49.536371,       -3.851416,  105090.36,  152830.39,    5057.16,             5928.80,     3.96,  54864.04,           61323.31,    -10.74,      0.34,          14.51,  +0.71,  -0.21
  3,     UK003K,       0,  0.134890, 2459486.718001907226,  96.86446,   4.68083,              160.06601,  42.60426,       160.06320,       42.60028,     96.86446,      +4.68083,      96.86792,       +4.67740,   528380.96,  4180782.89,  4908287.78,      49.539141,       -3.873807,  103260.44,  150947.59,    7530.73,             8402.36,   -79.42,  61136.14,           61323.31,     11.82,     -0.37,          16.15,  +0.41,  -0.48
  4,     UK003K,       0,  0.175386, 2459486.718002375681,  96.37318,   4.26196,              160.83578,  42.29970,       160.83856,       42.30358,     96.37318,      +4.26196,      96.37108,       +4.26533,   529868.18,  4179114.57,  4907062.56,      49.541991,       -3.896890,  101375.30,  149025.96,   10079.51,            10951.14,   -89.88,  62939.00,           61412.73,    -11.42,      0.36,          15.82,  +0.33,  -0.54
  5,     UK003K,       0,  0.215918, 2459486.718002845068,  95.83185,   3.81770,              161.67137,  41.97562,       161.67141,       41.97567,     95.83185,      +3.81770,      95.83271,       +3.81775,   531440.22,  4177351.11,  4905767.47,      49.545002,       -3.921297,   99383.13,  147015.94,   12773.64,            13645.28,    42.75,  66469.31,           62161.92,     -0.15,      0.00,           0.21,  +0.10,  -0.74
  6,     UK003K,       0,  0.256434, 2459486.718003313988,  95.31674,   3.38468,              162.46181,  41.65200,       162.46404,       41.65500,     95.31674,      +3.38468,      95.31559,       +3.38732,   532911.69,  4175700.48,  4904555.23,      49.547816,       -3.944169,   97518.86,  145154.68,   15295.41,            16167.04,     4.02,  62241.31,           62437.79,     -8.71,      0.28,          12.39,  +0.21,  -0.60
  7,     UK003K,       0,  0.296962, 2459486.718003782909,  94.78921,   2.94009,              163.26388,  41.31427,       163.26864,       41.32057,     94.78921,      +2.94009,      94.78577,       +2.94563,   534382.65,  4174050.40,  4903343.41,      49.550627,       -3.967049,   95655.66,  143314.53,   17816.32,            18687.95,   -36.32,  62201.67,           62532.96,    -18.11,      0.57,          26.08,  +0.20,  -0.58
  8,     UK003K,       0,  0.337506, 2459486.718004252296,  94.25114,   2.47923,              164.07560,  40.95716,       164.08644,       40.97128,     94.25114,      +2.47923,      94.24201,       +2.49170,   535855.42,  4172398.29,  4902130.10,      49.553439,       -3.989973,   93790.58,  141493.41,   20340.34,            21211.97,   -74.57,  62253.80,           62558.72,    -40.29,      1.28,          58.76,  +0.14,  -0.61
  9,     UK003K,       0,  0.377962, 2459486.718004720286,  93.77554,   2.10333,              164.77917,  40.66807,       164.77944,       40.66841,     93.77554,      +2.10333,      93.77687,       +2.10363,   537084.76,  4171019.27,  4901117.33,      49.555783,       -4.009148,   92234.10,  139989.83,   22447.16,            23318.79,  -524.46,  52076.76,           62000.64,     -0.97,      0.03,           1.43,  +2.17,  +1.44

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.