Orbital Analysis for matched events on 20211103_010318.836_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 124.54° Bg 39.68° Vg 56.33km/s
mass 0.01123g, abs. mag 0.7
best visual mag 0.8
Path Details
------------
start -2.91° 51.14° 101.47km
end   -3.02° 51.07° 91.42km

Orbit Details
-------------
Semimajor axis 2.97A.U., eccentricity 0.67, inclination 110.00°, Period 5.12Y, LA Sun 220.53°, last Perihelion 2016-10-04

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: 2459521.543968011159
Time: 2021-11-03 01:03:18.876759 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003E and UK003J
 Convergence angle = 11.75311 deg
 R.A. = 146.39936  Dec = +55.03544 deg
Intersection 2 - Stations: UK003E and UK003Z
 Convergence angle = 16.30415 deg
 R.A. = 141.61927  Dec = +58.07515 deg
Intersection 3 - Stations: UK003J and UK003Z
 Convergence angle = 28.04012 deg
 R.A. = 143.03323  Dec = +56.51068 deg

Best intersection: Stations UK003J and UK003Z with Qconv = 28.04 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2310378.22 +/- 41.72 m
 Y =   3355437.98 +/- 17.36 m
 Z =   5023801.82 +/- 41.36 m
 Vx =   -24828.02 +/- 281.47 m/s
 Vy =    18893.02 +/- 104.16 m/s
 Vz =    48202.43 +/- 195.26 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.868965e+03, +5.132586e+02, +1.625236e+03, +9.428756e+03, +1.940082e+03, +6.958329e+03
+5.132586e+02, +3.220965e+02, +3.586685e+02, +3.088760e+03, +1.180230e+03, +1.951083e+03
+1.625236e+03, +3.586685e+02, +1.843011e+03, +8.975271e+03, +6.045756e+02, +7.157090e+03
+9.428756e+03, +3.088760e+03, +8.975271e+03, +8.539692e+04, +1.842654e+04, +5.742261e+04
+1.940082e+03, +1.180230e+03, +6.045756e+02, +1.842654e+04, +9.421687e+03, +9.676400e+03
+6.958329e+03, +1.951083e+03, +7.157090e+03, +5.742261e+04, +9.676400e+03, +4.037012e+04

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK003E: -0.000043 s
    UK003J: -0.000002 s
    UK003Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 01:03:18.876759 UTC
  Lon     = +-2.893876 +/- 0.0004 deg
  Lat     = +51.145751 +/- 0.0002 deg
  Lat geo = +50.960595 +/- 0.0002 deg
  Ht      =  102767.65 +/- 51.18 m

  JD dynamic   = 2459521.544769221917 
  LST apparent = 55.4507449333 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 142.73047 +/- 0.4073 deg
  Dec       = +57.08707 +/- 0.2681 deg
  Azimuth   =  46.97488 +/- 0.1704 deg
  Elevation = +42.06179 +/- 0.3254 deg
  Vavg      =  57.19409 +/- 0.0366 km/s
  Vinit     =  57.41821 +/- 0.0565 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 142.75612 +/- 0.4073 deg
  Dec       = +56.83918 +/- 0.2681 deg
  Azimuth   =  47.24594 +/- 0.1704 deg
  Elevation = +41.91669 +/- 0.3254 deg
  Vavg      =  57.35587 +/- 0.0366 km/s
  Vinit     =  57.57999 +/- 0.0565 km/s
Radiant (geocentric, J2000):
  R.A.   = 143.09150 +/- 0.4080 deg
  Dec    = +56.92257 +/- 0.2730 deg
  Vg     =  56.33473 +/- 0.0576 km/s
  Vinf   =  57.41821 +/- 0.0565 km/s
  Zc     =  48.06469 +/- 0.3251 deg
  Zg     =  48.55138 +/- 0.3298 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 124.54034 +/- 0.4020 deg
  Bg     = +39.67504 +/- 0.1700 deg
  Vh     =  38.59514 +/- 0.1535 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 109.77838 +/- 1.2621 deg
  Bh     = +68.72995 +/- 0.1118 deg
  Vh_x   =   4.73768 +/- 0.2785 km/s
  Vh_y   = -13.17500 +/- 0.1415 km/s
  Vh_z   = -35.96608 +/- 0.1632 km/s
Orbit:
  La Sun = 220.530331 +/- 0.0000 deg
  a      =   2.969758 +/- 0.1018 AU
  e      =   0.672785 +/- 0.0136
  i      = 110.002695 +/- 0.2112 deg
  peri   = 198.398785 +/- 0.8918 deg
  node   = 220.531524 +/- 0.0000 deg
  Pi     =  58.930309 +/- 0.8918 deg
  q      =   0.971748 +/- 0.0020 AU
  f      = 341.602068 +/- 0.8918 deg
  M      = 357.300143 +/- 0.0844 deg
  Q      =   4.967768 +/- 0.2054 AU
  n      =   0.192585 +/- 0.0118 deg/day
  T      =   5.117787 +/- 0.2545 years
  Last perihelion JD = 2457666.259700 (2016-10-04 18:13:58.082117) +/- 92.4420 days
  Tj     =   1.370077 +/- 0.0665
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.985506e-04, -2.633425e-05, -1.351011e+00, -4.823497e-08, +1.151930e-02, -3.022116e-03
q   , -2.633425e-05, +4.197537e-06, +1.764452e-01, +5.991258e-09, -1.890065e-03, +3.754566e-04
Tp  , -1.351011e+00, +1.764452e-01, +9.226442e+03, +3.300824e-04, -7.687338e+01, +2.068235e+01
node, -4.823497e-08, +5.991258e-09, +3.300824e-04, +1.225783e-11, -2.587568e-06, +7.681139e-07
peri, +1.151930e-02, -1.890065e-03, -7.687338e+01, -2.587568e-06, +8.554554e-01, -1.621584e-01
i   , -3.022116e-03, +3.754566e-04, +2.068235e+01, +7.681139e-07, -1.621584e-01, +4.813269e-02

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: UK003Z
  Avg. res. = 2.543e-06 s
  Stddev    = 1.59e-03 s

Begin point on the trajectory:
  Lon =    -2.908618 +/- 0.0004 deg
  Lat =    51.137094 +/- 0.0001 deg
  Ht  = 101473.97 +/- 38.76 m
End point on the trajectory:
  Lon =    -3.024454 +/- 0.0005 deg
  Lat =    51.069555 +/- 0.0001 deg
  Ht  = 91418.36 +/- 56.54 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
    UK0006,    True,    -1.306160,    51.883100,   80.00,   0.032204,  31.827105,   102030.61,    91695.63,          0.065092,       nan,       nan,             101.35, 0.0000,    True,    True, {"ff_name": "FF_UK0006_20211103_010318_964_0708864.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,  22.254323,   0.000000,    97881.37,    91468.83,          0.011447,     20.85,     15.30,              83.80, 0.9883,   False,    True, {"ff_name": "FF_UK003E_20211103_010312_720_0704256.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    99153.33,    91418.36,          0.012785,     16.17,     17.90,              71.26, 0.8967,   False,    True, {"ff_name": "FF_UK003J_20211103_010311_785_0701184.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,   101473.97,    92245.61,          0.008541,     18.87,      6.93,              78.75, 0.9619,    True,    True, {"ff_name": "FF_UK003Z_20211103_010317_689_0704768.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,     UK0006,       1,  0.019525, 2459521.543968237005,  15.27880,   9.32666,              233.90897,  35.58189,       233.92653,       35.58081,     15.27880,      +9.32666,      15.26585,       +9.33295,  2310853.96,  3355075.96,  5022878.20,      51.140820,       -2.902186,  102030.61,  172611.45,       0.00,             1100.21,   379.03,      0.00,           56121.87,    -31.56,    -29.40,          51.54,  +5.69,  +4.50
  1,     UK0006,       1,  0.060053, 2459521.543968706392,  14.98860,   8.78592,              233.87747,  34.97044,       233.87350,       34.97068,     14.98860,      +8.78592,      14.99182,       +8.78449,  2311665.00,  3354458.80,  5021303.60,      51.132410,       -2.916673,  100774.33,  172985.33,    1875.65,             2975.86,   -72.37,  46280.23,           56121.87,      7.20,      6.71,          11.73,  +1.90,  +0.71
  2,     UK0006,       1,  0.100697, 2459521.543969176710,  14.64023,   8.11901,              233.83076,  34.22075,       233.80880,       34.22210,     14.64023,      +8.11901,      14.65719,       +8.11104,  2312665.57,  3353697.41,  5019361.04,      51.122027,       -2.934507,   99224.88,  173471.80,    4189.61,             5289.82,   -92.12,  56932.42,           56121.87,     40.33,     37.61,          65.57,  +1.98,  +0.78
  3,     UK0006,       1,  0.141429, 2459521.543969647959,  14.25102,   7.36051,              233.77311,  33.37119,       233.73640,       33.37345,     14.25102,      +7.36051,      14.27949,       +7.34708,  2313807.24,  3352828.65,  5017144.55,      51.110171,       -2.954833,   97457.48,  174061.88,    6829.87,             7930.08,   209.38,  64820.28,           56121.87,     68.28,     63.71,         110.66,  +2.07,  +0.87
  4,     UK0006,       1,  0.181993, 2459521.543970117345,  13.93694,   6.78457,              233.75007,  32.71660,       233.68236,       32.72079,     13.93694,      +6.78457,      13.98946,       +6.75966,  2314690.11,  3352156.82,  5015430.49,      51.100995,       -2.970589,   96091.09,  174546.11,    8871.63,             9971.84,   -77.96,  50334.39,           55864.56,    127.16,    118.78,         205.63,  +1.80,  +0.59
  5,     UK0006,       1,  0.222673, 2459521.543970588595,  13.56300,   6.07716,              233.71142,  31.91820,       233.61678,       31.92408,     13.56300,      +6.07716,      13.63684,       +6.04209,  2315775.20,  3351331.12,  5013323.85,      51.089710,       -2.989917,   94412.23,  175170.42,   11381.04,            12481.25,    95.67,  61686.58,           56623.77,    179.86,    168.16,         289.94,  +2.40,  +1.18
  6,     UK0006,       1,  0.263217, 2459521.543971057516,  13.25816,   5.51471,              233.68957,  31.27946,       233.56574,       31.28719,     13.25816,      +5.51471,      13.35525,       +5.46857,  2316647.87,  3350667.06,  5011629.60,      51.080627,       -3.005494,   93062.38,  175698.57,   13399.21,            14499.43,  -214.12,  49777.39,           56162.99,    237.58,    222.34,         382.00,  +2.98,  +1.76
  7,     UK0006,       1,  0.303765, 2459521.543971526902,  12.97463,   4.93754,              233.63878,  30.63841,       233.51503,       30.64615,     12.97463,      +4.93754,      13.07240,       +4.89117,  2317531.68,  3349994.52,  5009913.72,      51.071423,       -3.021269,   91695.63,  176255.45,   15443.15,            16543.36,  -498.38,  50407.76,           55492.38,    239.75,    224.40,         384.30,  +4.33,  +3.10
  0,     UK003E,       0,  0.137258, 2459521.543969600461,  11.42807,  27.29613,              252.09950,  48.57403,       252.10611,       48.57262,     11.42807,     +27.29613,      11.42392,      +27.29801,  2313533.38,  3353037.04,  5017676.22,      51.113016,       -2.949981,   97881.37,  129618.22,       0.00,             7296.75,  -184.46,      0.00,           60087.03,     -6.15,     -8.38,          16.55,  +1.32,  +0.76
  1,     UK003E,       0,  0.178114, 2459521.543970073108,  10.93964,  26.29503,              251.59091,  47.53638,       251.61500,       47.53126,     10.93964,     +26.29503,      10.92301,      +26.30194,  2314599.59,  3352225.70,  5015606.23,      51.101936,       -2.968975,   96231.17,  129485.72,    2465.75,             9762.50,   -64.59,  60352.26,           60087.03,    -22.80,    -31.06,          61.37,  +1.60,  +1.04
  2,     UK003E,       0,  0.218942, 2459521.543970545754,  10.44349,  25.35342,              251.17615,  46.53330,       251.16448,       46.53577,     10.44349,     +25.35342,      10.45292,      +25.35004,  2315615.05,  3351452.99,  5013634.77,      51.091376,       -2.987074,   94659.97,  129403.69,    4814.14,            12110.89,   -60.47,  57519.06,           60087.03,     11.22,     15.31,          30.25,  +1.65,  +1.09
  3,     UK003E,       0,  0.259850, 2459521.543971019331,   9.95475,  24.29400,              250.66950,  45.44004,       250.68624,       45.43649,      9.95475,     +24.29400,       9.94349,      +24.29890,  2316733.66,  3350601.77,  5011463.04,      51.079734,       -3.006995,   92929.71,  129362.10,    7401.08,            14697.83,   177.60,  63238.02,           60087.03,    -16.39,    -22.34,          44.17,  +2.02,  +1.46
  4,     UK003E,       0,  0.300634, 2459521.543971491512,   9.50676,  23.41376,              250.31182,  44.50267,       250.29695,       44.50581,      9.50676,     +23.41376,       9.51908,      +23.40938,  2317678.38,  3349882.88,  5009628.90,      51.069895,       -3.023846,   91468.83,  129368.66,    9585.88,            16882.63,    20.66,  53569.97,           59015.92,     14.76,     20.14,          39.81,  +4.03,  +3.47
  0,     UK003J,       0,  0.103410, 2459521.543969207909,  30.43978,  33.34369,              235.69354,  64.16436,       235.72634,       64.16274,     30.43978,     +33.34369,      30.42555,      +33.35125,  2312711.78,  3353662.24,  5019271.32,      51.121547,       -2.935334,   99153.33,  109783.53,       0.00,             5396.69,  -141.05,      0.00,           58302.65,    -20.46,    -18.47,          51.79,  +0.86,  +0.66
  1,     UK003J,       0,  0.144434, 2459521.543969682883,  29.63642,  32.26894,              235.41346,  62.90126,       235.42149,       62.90087,     29.63642,     +32.26894,      29.63331,      +32.27085,  2313799.51,  3352834.53,  5017159.55,      51.110251,       -2.954709,   97469.43,  109086.89,    2515.52,             7912.21,    18.95,  61318.29,           58302.65,     -5.20,     -4.69,          13.24,  +1.17,  +0.98
  2,     UK003J,       0,  0.185386, 2459521.543970156927,  28.91778,  31.27288,              235.16719,  61.73838,       235.16393,       61.73854,     28.91778,     +31.27288,      28.92011,      +31.27209,  2314788.93,  3352081.63,  5015238.65,      51.099968,       -2.972348,   95938.18,  108500.64,    4803.68,            10200.37,   -44.29,  55874.13,           58302.65,      2.18,      1.97,           5.59,  +0.82,  +0.64
  3,     UK003J,       0,  0.226402, 2459521.543970631436,  28.16310,  30.21754,              234.94457,  60.50434,       234.91093,       60.50601,     28.16310,     +30.21754,      28.18065,      +30.20909,  2315826.79,  3351291.86,  5013223.69,      51.089173,       -2.990844,   94332.42,  107934.47,    7203.87,            12600.56,     0.84,  58518.43,           58302.65,     23.27,     21.03,          59.93,  +1.09,  +0.92
  4,     UK003J,       0,  0.267446, 2459521.543971106410,  27.41869,  29.12977,              234.71413,  59.24411,       234.67148,       59.24623,     27.41869,     +29.12977,      27.44150,      +29.11878,  2316876.62,  3350492.99,  5011185.49,      51.078246,       -3.009551,   92708.62,  107413.54,    9631.75,            15028.44,    72.05,  59153.21,           58413.65,     30.47,     27.55,          78.87,  +1.87,  +1.71
  5,     UK003J,       0,  0.308294, 2459521.543971579056,  26.85700,  28.24221,              234.49506,  58.23533,       234.49347,       58.23541,     26.85700,     +28.24221,      26.85912,      +28.24180,  2317711.01,  3349858.05,  5009565.55,      51.069555,       -3.024454,   91418.36,  107038.20,   11561.40,            16958.09,  -343.72,  47239.74,           56855.38,      1.16,      1.05,           3.02,  +2.71,  +2.56
  0,     UK003Z,       1,  0.000000, 2459521.543968011159, 356.98034,  40.86050,              280.00622,  48.45227,       280.11587,       48.39778,    356.98034,     +40.86050,     356.86614,      +40.88887,  2310393.86,  3355426.08,  5023771.46,      51.145589,       -2.893983,  102743.41,  136472.46,       0.00,               36.18,   436.06,      0.00,           54952.82,    -74.96,   -203.12,         327.23,  +5.93,  +5.25
  1,     UK003Z,       0,  0.040612, 2459521.543968481012, 356.53159,  40.14754,              279.43104,  47.76145,       279.41866,       47.76757,    356.53159,     +40.14754,     356.54461,      +40.14436,  2311213.30,  3354802.52,  5022180.56,      51.137094,       -2.908618,  101473.97,  136095.89,    1895.06,             1931.24,    -0.75,  46662.57,           54952.82,      8.45,     23.03,          37.18,  +2.08,  +1.41
  2,     UK003Z,       0,  0.081312, 2459521.543968952261, 356.15976,  39.20679,              278.55873,  46.97539,       278.56706,       46.97131,    356.15976,     +39.20679,     356.15149,      +39.20892,  2312236.14,  3354024.19,  5020194.76,      51.126484,       -2.926845,   99889.83,  135659.81,    4260.52,             4296.70,    27.79,  58119.43,           54952.82,     -5.71,    -15.56,          25.20,  +1.24,  +0.58
  3,     UK003Z,       0,  0.122036, 2459521.543969423510, 355.76052,  38.25153,              277.72215,  46.15156,       277.72269,       46.15130,    355.76052,     +38.25153,     355.76048,      +38.25166,  2313274.99,  3353233.67,  5018177.88,      51.115699,       -2.945355,   98281.37,  135257.91,    6663.01,             6699.18,    91.98,  58994.41,           54952.82,     -0.37,     -1.02,           1.65,  +1.36,  +0.70
  4,     UK003Z,       0,  0.162748, 2459521.543969894759, 355.37845,  37.30626,              276.91820,  45.33306,       276.91321,       45.33547,    355.37845,     +37.30626,     355.38425,      +37.30500,  2314295.24,  3352457.30,  5016197.12,      51.105100,       -2.963538,   96702.18,  134904.05,    9022.47,             9058.64,   113.83,  57954.88,           56063.57,      3.45,      9.41,          15.32,  +1.45,  +0.80
  5,     UK003Z,       0,  0.203452, 2459521.543970366009, 355.00763,  36.37699,              276.15472,  44.52100,       276.14002,       44.52806,    355.00763,     +36.37699,     355.02349,      +36.37330,  2315293.18,  3351697.91,  5014259.65,      51.094724,       -2.981327,   95157.94,  134597.44,   11330.36,            11366.53,    84.57,  56699.31,           56471.53,     10.22,     27.87,          45.50,  +1.41,  +0.76
  6,     UK003Z,       0,  0.244108, 2459521.543970836326, 354.68340,  35.49043,              275.43169,  43.75571,       275.42685,       43.75802,    354.68340,     +35.49043,     354.68935,      +35.48922,  2316235.00,  3350981.23,  5012431.17,      51.084925,       -2.998125,   93700.96,  134344.46,   13508.43,            13544.60,   -71.76,  53573.18,           56306.95,      3.39,      9.23,          15.09,  +1.90,  +1.26
  7,     UK003Z,       0,  0.284764, 2459521.543971307110, 354.37512,  34.59827,              274.71555,  42.98845,       274.73003,       42.98158,    354.37512,     +34.59827,     354.36162,      +34.60188,  2317176.01,  3350265.16,  5010604.23,      51.075128,       -3.014910,   92245.61,  134126.77,   15684.65,            15720.83,  -229.93,  53527.73,           56007.01,    -10.19,    -27.74,          45.44,  +2.69,  +2.05

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.