Orbital Analysis for matched events on 20211103_045502.140_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 137.54° Bg 5.28° Vg 68.20km/s
mass 0.00785g, abs. mag 0.3
best visual mag 0.9
Path Details
------------
start 0.85° 51.49° 109.61km
end   0.79° 51.53° 100.27km

Orbit Details
-------------
Semimajor axis 3.04A.U., eccentricity 0.69, inclination 170.47°, Period 5.31Y, LA Sun 220.69°, last Perihelion 2021-10-13

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: 2459521.704885890707
Time: 2021-11-03 04:55:02.181271 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0034 and UK0041
 Convergence angle = 14.64213 deg
 R.A. = 138.32950  Dec = +18.94462 deg
Intersection 2 - Stations: UK0034 and UK004P
 Convergence angle = 33.26482 deg
 R.A. = 142.56849  Dec = +22.37336 deg
Intersection 3 - Stations: UK0041 and UK004P
 Convergence angle = 47.86216 deg
 R.A. = 142.02173  Dec = +20.66255 deg

Best intersection: Stations UK0041 and UK004P with Qconv = 47.86 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1858199.90 +/- 87.60 m
 Y =   3599388.20 +/- 95.48 m
 Z =   5054497.60 +/- 41.20 m
 Vx =   -50854.73 +/- 319.86 m/s
 Vy =    39887.22 +/- 605.52 m/s
 Vz =    24448.96 +/- 698.27 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.829102e+03, -8.684171e+03, +1.891046e+03, +4.701671e+04, -4.770974e+04, +1.882056e+04
-8.684171e+03, +9.958024e+03, -1.674907e+03, -4.721244e+04, +5.603820e+04, -1.407780e+04
+1.891046e+03, -1.674907e+03, +1.888897e+03, +1.677400e+04, -1.385503e+04, +9.534729e+03
+4.701671e+04, -4.721244e+04, +1.677400e+04, +3.150637e+05, -3.236408e+05, +1.297788e+05
-4.770974e+04, +5.603820e+04, -1.385503e+04, -3.236408e+05, +3.907619e+05, -1.003873e+05
+1.882056e+04, -1.407780e+04, +9.534729e+03, +1.297788e+05, -1.003873e+05, +9.298367e+04

Timing offsets (from input data):
    UK000F: 0.000000 s
    UK002F: 0.000000 s
    UK0034: 0.000000 s
    UK0041: -0.000032 s
    UK004P: -0.000625 s

Reference point on the trajectory:
  Time: 2021-11-03 04:55:02.181271 UTC
  Lon     = ++0.871581 +/- 0.0006 deg
  Lat     = +51.475271 +/- 0.0010 deg
  Lat geo = +51.290855 +/- 0.0010 deg
  Ht      =  112244.22 +/- 70.03 m

  JD dynamic   = 2459521.705687098205 
  LST apparent = 117.3052427309 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 141.89161 +/- 0.1869 deg
  Dec       = +20.72083 +/- 0.4225 deg
  Azimuth   = 138.83146 +/- 0.5046 deg
  Elevation = +53.76009 +/- 0.3500 deg
  Vavg      =  67.24402 +/- 0.2326 km/s
  Vinit     =  69.10098 +/- 0.6340 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 142.12928 +/- 0.1869 deg
  Dec       = +20.68468 +/- 0.4225 deg
  Azimuth   = 138.52107 +/- 0.5046 deg
  Elevation = +53.62987 +/- 0.3500 deg
  Vavg      =  67.35950 +/- 0.2326 km/s
  Vinit     =  69.21646 +/- 0.6340 km/s
Radiant (geocentric, J2000):
  R.A.   = 141.69857 +/- 0.1893 deg
  Dec    = +20.59768 +/- 0.4219 deg
  Vg     =  68.20465 +/- 0.6425 km/s
  Vinf   =  69.10098 +/- 0.6340 km/s
  Zc     =  36.10126 +/- 0.3491 deg
  Zg     =  36.34505 +/- 0.3482 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 137.53785 +/- 0.1620 deg
  Bg     =  +5.27932 +/- 0.4279 deg
  Vh     =  38.68817 +/- 0.6000 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 142.26677 +/- 0.3045 deg
  Bh     =  +9.33534 +/- 0.8314 deg
  Vh_x   =  30.19203 +/- 0.5160 km/s
  Vh_y   = -23.36303 +/- 0.4919 km/s
  Vh_z   =  -6.27570 +/- 0.4401 km/s
Orbit:
  La Sun = 220.691519 +/- -0.0000 deg
  a      =   3.041859 +/- 0.3590 AU
  e      =   0.689548 +/- 0.0476
  i      = 170.474610 +/- 0.8470 deg
  peri   = 151.902957 +/- 1.7098 deg
  node   = 220.698535 +/- 0.0003 deg
  Pi     =  12.601492 +/- 1.7100 deg
  q      =   0.944350 +/- 0.0036 AU
  f      =  28.102107 +/- 1.7095 deg
  M      =   3.866201 +/- 1.3638 deg
  Q      =   5.139368 +/- 0.7152 AU
  n      =   0.185779 +/- 0.0472 deg/day
  T      =   5.305291 +/- 0.8825 years
  Last perihelion JD = 2459500.894881 (2021-10-13 09:28:37.691910) +/- 1.5125 days
  Tj     =   0.618759 +/- 0.2876
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.684536e-03, +1.485144e-04, +7.826504e-02, +1.752322e-05, +8.424376e-02, +4.216504e-02
q   , +1.485144e-04, +1.523358e-05, +5.862435e-03, +6.798264e-07, +6.871923e-03, +1.704783e-03
Tp  , +7.826504e-02, +5.862435e-03, +2.618282e+00, +4.502076e-04, +2.940440e+00, +1.099866e+00
node, +1.752322e-05, +6.798264e-07, +4.502076e-04, +1.332687e-07, +4.607259e-04, +3.208534e-04
peri, +8.424376e-02, +6.871923e-03, +2.940440e+00, +4.607259e-04, +3.341666e+00, +1.131698e+00
i   , +4.216504e-02, +1.704783e-03, +1.099866e+00, +3.208534e-04, +1.131698e+00, +7.776094e-01

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

Mean time residuals from time vs. length:
  Station with reference time: UK0034
  Avg. res. = 2.746e-06 s
  Stddev    = 1.66e-03 s

Begin point on the trajectory:
  Lon =     0.853589 +/- 0.0003 deg
  Lat =    51.488114 +/- 0.0006 deg
  Ht  = 109609.92 +/- 31.02 m
End point on the trajectory:
  Lon =     0.788851 +/- 0.0003 deg
  Lat =    51.533714 +/- 0.0003 deg
  Ht  = 100274.03 +/- 45.43 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
    UK000F,    True,    -1.306160,    51.883100,   80.00,   9.868259,  16.515068,   109515.92,   100941.41,          0.318262,       nan,       nan,              27.92, 0.0000,    True,    True, {"ff_name": "FF_UK000F_20211103_045456_641_1055232.fits"}
    UK002F,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108418.83,    99699.16,          0.037757,       nan,       nan,              27.92, 0.0000,    True,    True, {"ff_name": "FF_UK002F_20211103_045458_797_1029120.fits"}
    UK0034,   False,     1.010397,    52.949859,   25.00,   0.717866,  23.980730,   109609.92,   100921.79,          0.023883,     18.08,     79.04,              36.47, 0.3533,    True,    True, {"ff_name": "FF_UK0034_20211103_045457_317_1072384.fits"}
    UK0041,   False,     1.214343,    52.647541,   45.00,   0.000000,   0.000000,   109245.41,   100457.71,          0.017122,      0.54,     50.02,              36.55, 0.3547,    True,    True, {"ff_name": "FF_UK0041_20211103_045500_307_1067520.fits"}
    UK004P,   False,     0.265814,    50.757198,   61.00,   0.000000,   0.000000,   109123.95,   100274.03,          0.008687,     15.66,     14.51,              59.73, 0.7459,    True,    True, {"ff_name": "FF_UK004P_20211103_045454_931_1062656.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,     UK000F,       1,  0.043133, 2459521.704886389896, 172.00927,  18.08944,              105.24270,  34.39344,       105.53369,       34.18439,    172.00927,     +18.08944,     171.94974,      +17.77595, -1855710.16,  3597435.41,  5053300.63,      51.488573,       +0.852935,  109515.92,  191339.35,       0.00,             3383.04,   206.03,      0.00,           65594.33,    952.98,    473.06,        1146.93,  +3.39,  +1.98
  1,     UK000F,       1,  0.083273, 2459521.704886854626, 172.39068,  18.01183,              104.95972,  34.10567,       105.24325,       33.90259,    172.39068,     +18.01183,     172.33206,      +17.70631, -1853812.24,  3595946.80,  5052388.19,      51.498718,       +0.838544,  107436.56,  189067.52,    2578.87,             5961.90,    11.19,  64246.82,           65594.33,    917.93,    456.13,        1118.25,  +2.21,  +0.83
  2,     UK000F,       1,  0.123389, 2459521.704887318891, 172.78669,  17.96552,              104.64112,  33.83327,       104.94816,       33.61365,    172.78669,     +17.96552,     172.72280,      +17.63432, -1851916.97,  3594460.27,  5051477.02,      51.508854,       +0.824158,  105360.42,  186806.93,    5154.15,             8537.19,  -185.59,  64195.85,           65594.33,    983.85,    487.87,        1212.57,  +2.22,  +0.86
  3,     UK000F,       1,  0.163557, 2459521.704887783621, 173.21267,  17.86160,              104.34057,  33.49783,       104.62564,       33.29476,    173.21267,     +17.86160,     173.15254,      +17.55415, -1849883.07,  3592865.01,  5050499.20,      51.519737,       +0.808714,  103132.81,  184390.98,    7917.80,            11300.84,  -197.59,  68802.29,           65594.33,    901.61,    448.19,        1126.31,  +1.51,  +0.18
  4,     UK000F,       1,  0.203709, 2459521.704888248350, 173.64655,  17.77840,              104.01867,  33.17346,       104.30237,       32.97194,    173.64655,     +17.77840,     173.58607,      +17.47227, -1847881.87,  3591295.39,  5049537.10,      51.530450,       +0.793499,  100941.41,  182023.52,   10637.01,            14020.05,  -252.92,  67722.94,           66294.59,    886.53,    440.88,        1121.97,  +1.91,  +0.61
  0,     UK002F,       1,  0.067167, 2459521.704886667896, 172.14585,  17.71950,              105.39997,  34.02353,       105.38117,       34.03678,    172.14585,     +17.71950,     172.15021,      +17.73957, -1854708.84,  3596650.04,  5052819.24,      51.493925,       +0.845332,  108418.83,  190139.12,       0.00,             4743.62,   -94.15,      0.00,           70624.61,    -60.40,    -30.92,          73.61,  +2.80,  +1.40
  1,     UK002F,       1,  0.107495, 2459521.704887134954, 172.54936,  17.65718,              105.08546,  33.73458,       105.07722,       33.74037,    172.54936,     +17.65718,     172.55161,      +17.66599, -1852741.53,  3595107.00,  5051873.44,      51.504444,       +0.830412,  106263.62,  187789.05,    2673.16,             7416.78,  -207.69,  66285.56,           70624.61,    -26.17,    -13.38,          32.29,  +1.74,  +0.37
  2,     UK002F,       1,  0.147891, 2459521.704887602478, 173.01521,  17.53156,              104.76416,  33.35873,       104.72080,       33.38910,    173.01521,     +17.53156,     173.02550,      +17.57790, -1850479.94,  3593333.16,  5050786.15,      51.516542,       +0.813264,  103786.50,  185099.85,    5746.19,            10489.81,    73.94,  76072.60,           70624.61,   -135.83,    -69.69,         170.12,  +1.38,  +0.04
  3,     UK002F,       1,  0.188247, 2459521.704888069537, 173.44590,  17.44395,              104.44702,  33.03317,       104.39783,       33.06752,    173.44590,     +17.44395,     173.45780,      +17.49655, -1848469.62,  3591756.39,  5049819.67,      51.527303,       +0.797985,  101584.99,  182718.68,    8477.80,            13221.41,    16.90,  67687.68,           70624.61,   -152.25,    -78.15,         193.19,  +1.22,  -0.09
  4,     UK002F,       1,  0.228559, 2459521.704888536129, 173.82753,  17.38635,              104.15213,  32.76003,       104.11648,       32.78489,    173.82753,     +17.38635,     173.83661,      +17.42452, -1846747.29,  3590405.50,  5048991.64,      51.536526,       +0.784856,   99699.16,  180685.26,   10818.09,            15561.70,  -428.40,  58054.44,           68001.81,   -109.28,    -56.02,         140.19,  +1.93,  +0.65
  0,     UK0034,       1,  0.000000, 2459521.704885890707, 114.63141,  -3.65331,              183.36054,  33.34714,       183.36297,       33.34913,    114.63141,      -3.65331,     114.62945,       -3.65125, -1858186.27,  3599377.51,  5054491.05,      51.475344,       +0.871648,  112229.29,  200183.78,       0.00,               18.51,  -177.94,      0.00,           69052.11,     -9.69,      2.22,          10.24,  +5.73,  +4.22
  1,     UK0034,       0,  0.040332, 2459521.704886357300, 114.19460,  -4.00527,              183.86480,  32.97885,       183.83155,       32.95163,    114.19460,      -4.00527,     114.22161,       -4.03360, -1855795.94,  3597502.69,  5053341.88,      51.488114,       +0.853589,  109609.92,  197571.95,    3247.96,             3266.48,   283.05,  80530.67,           69052.11,    131.07,    -29.89,         140.35,  +3.29,  +1.81
  2,     UK0034,       0,  0.080636, 2459521.704886823893, 113.88064,  -4.33486,              184.22032,  32.63623,       184.20973,       32.62759,    113.88064,      -4.33486,     113.88953,       -4.34388, -1853900.52,  3596016.04,  5052430.63,      51.498246,       +0.839217,  107533.27,  195514.69,    5823.44,             5841.95,    73.48,  63901.30,           69052.11,     41.29,     -9.45,          44.69,  +2.82,  +1.36
  3,     UK0034,       0,  0.120948, 2459521.704887290485, 113.55566,  -4.67273,              184.58530,  32.28369,       184.59636,       32.29266,    113.55566,      -4.67273,     113.54723,       -4.66331, -1851988.97,  3594516.74,  5051511.63,      51.508469,       +0.824708,  105439.29,  193452.60,    8420.84,             8439.35,  -114.72,  64432.41,           69052.11,    -42.65,      9.79,          46.66,  +1.65,  +0.22
  4,     UK0034,       0,  0.161288, 2459521.704887757543, 113.17361,  -5.03788,              185.01225,  31.89974,       185.02892,       31.91322,    113.17361,      -5.03788,     113.16082,       -5.02368, -1849878.95,  3592861.78,  5050497.22,      51.519759,       +0.808693,  103128.31,  191191.60,   11287.91,            11306.43,   -35.18,  71072.73,           68822.81,    -63.54,     14.59,          70.34,  +1.74,  +0.33
  5,     UK0034,       0,  0.201620, 2459521.704888224136, 112.79908,  -5.39385,              185.42699,  31.52378,       185.44837,       31.54100,    112.79908,      -5.39385,     112.78264,       -5.37562, -1847863.95,  3591281.34,  5049528.48,      51.530546,       +0.793373,  100921.79,  189047.91,   14025.89,            14044.40,   -84.18,  67885.95,           68623.43,    -80.61,     18.52,          90.24,  +2.00,  +0.62
  0,     UK0041,       0,  0.047092, 2459521.704886435997, 109.02821,   2.11064,              191.10475,  38.95671,       191.08842,       38.94121,    109.02821,      +2.11064,     109.03921,       +2.09376, -1855463.27,  3597241.76,  5053181.94,      51.489892,       +0.851069,  109245.41,  171557.12,       0.00,             3718.51,   267.97,      0.00,           67205.56,     60.00,      0.68,          72.15,  +3.52,  +2.35
  1,     UK0041,       0,  0.087432, 2459521.704886903055, 108.62562,   1.81695,              191.57226,  38.61710,       191.58239,       38.62665,    108.62562,      +1.81695,     108.61929,       +1.82740, -1853677.35,  3595841.00,  5052323.34,      51.499439,       +0.837515,  107288.78,  169628.37,    2426.69,             6145.20,   -92.87,  60155.84,           67205.56,    -36.72,     -0.39,          44.66,  +2.56,  +1.41
  2,     UK0041,       0,  0.127812, 2459521.704887370579, 108.12080,   1.50467,              192.16163,  38.24427,       192.16593,       38.24830,    108.12080,      +1.50467,     108.11850,       +1.50910, -1851595.82,  3594208.38,  5051322.62,      51.510572,       +0.821728,  105008.66,  167396.56,    5255.06,             8973.57,   -54.80,  70043.82,           67205.56,    -15.37,     -0.17,          18.94,  +2.00,  +0.88
  3,     UK0041,       0,  0.168220, 2459521.704887838103, 107.61600,   1.15539,              192.73886,  37.83196,       192.76278,       37.85416,    107.61600,      +1.15539,     107.60095,       +1.17992, -1849500.50,  3592564.95,  5050315.28,      51.521784,       +0.805819,  102713.86,  165168.57,    8102.15,            11820.66,     0.06,  70458.71,           67205.56,    -84.03,     -0.88,         104.95,  +1.76,  +0.67
  4,     UK0041,       0,  0.208608, 2459521.704888305627, 107.08057,   0.84257,              193.35444,  37.44876,       193.35914,       37.45310,    107.08057,      +0.84257,     107.07835,       +0.84739, -1847440.10,  3590948.90,  5049324.72,      51.532815,       +0.790154,  100457.71,  162996.67,   10901.81,            14620.32,     8.87,  69319.04,           68048.42,    -16.28,     -0.18,          20.61,  +2.18,  +1.12
  0,     UK004P,       0,  0.054952, 2459521.704886533786, 200.88850,  73.10956,               26.39020,  49.43526,        26.40660,       49.42672,    200.88850,     +73.10956,     200.90789,      +73.09708, -1855352.41,  3597154.82,  5053128.65,      51.490485,       +0.850203,  109123.95,  142710.13,       0.00,             3869.13,  -124.55,      0.00,           71031.76,     23.12,    -24.96,          49.17,  +2.85,  +2.08
  1,     UK004P,       0,  0.095716, 2459521.704887005500, 204.36349,  73.50690,               25.39174,  48.58391,        25.38704,       48.58633,    204.36349,     +73.50690,     204.35897,      +73.51058, -1853135.65,  3595416.12,  5052062.91,      51.502336,       +0.833415,  106695.35,  141290.08,    3012.13,             6881.26,    70.74,  73891.84,           71031.76,     -6.60,      7.12,          14.18,  +1.11,  +0.36
  2,     UK004P,       0,  0.136424, 2459521.704887476750, 207.71237,  73.83372,               24.48050,  47.79394,        24.47058,       47.79900,    207.71237,     +73.83372,     207.70389,      +73.84170, -1851117.49,  3593833.21,  5051092.66,      51.513131,       +0.818098,  104484.75,  140040.95,    5754.39,             9623.52,     0.04,  67364.11,           71031.76,    -13.90,     14.99,          30.11,  +0.89,  +0.16
  3,     UK004P,       0,  0.177212, 2459521.704887948930, 211.54985,  74.14376,               23.48974,  46.91897,        23.48896,       46.91937,    211.54985,     +74.14376,     211.55002,      +74.14440, -1848924.60,  3592113.25,  5050038.40,      51.524867,       +0.801450,  102083.21,  138732.87,    8734.06,            12603.19,   161.22,  73052.69,           71031.76,     -1.09,      1.17,           2.37,  +0.93,  +0.22
  4,     UK004P,       0,  0.217820, 2459521.704888418783, 214.59061,  74.31999,               22.76925,  46.23456,        22.75727,       46.24057,    214.59061,     +74.31999,     214.58435,      +74.33004, -1847272.35,  3590817.33,  5049244.07,      51.533714,       +0.788851,  100274.03,  137780.99,   10979.12,            14848.26,  -399.77,  55286.27,           67973.64,    -16.74,     18.06,          36.86,  +1.83,  +1.13

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.