Orbital Analysis for matched events on 20211111_212840.232_UK

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Summary for Event
-----------------
shower ID -1 spo (Sporadic)
Lg 112.89° Bg 32.69° Vg 60.62km/s
mass 0.08112g, abs. mag -1.0
best visual mag 0.7
Path Details
------------
start -2.28° 53.85° 109.58km
end   -2.56° 53.65° 92.01km

Orbit Details
-------------
Semimajor axis -14.76A.U., eccentricity 1.05, inclination 115.42°, Period nanY, LA Sun 229.41°, 

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: 2459530.394910093397
Time: 2021-11-11 21:28:40.272262 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003X
 Convergence angle = 8.80054 deg
 R.A. = 117.88383  Dec = +49.69322 deg

Best intersection: Stations UK001L and UK003X with Qconv = 8.80 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3762735.71 +/- 546.31 m
 Y =    741717.59 +/- 469.18 m
 Z =   5217245.61 +/- 1197.09 m
 Vx =   -19930.23 +/- 207.32 m/s
 Vy =    30404.30 +/- 3722.71 m/s
 Vz =    49762.98 +/- 3442.70 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.820250e+05, +1.543951e+05, -4.040450e+05, +4.516915e+05, +3.572944e+05, -1.007738e+06
+1.543951e+05, +1.354851e+05, -3.459351e+05, +3.822461e+05, +3.017359e+05, -8.634258e+05
-4.040450e+05, -3.459351e+05, +9.087638e+05, -9.881958e+05, -7.864828e+05, +2.235712e+06
+4.516915e+05, +3.822461e+05, -9.881958e+05, +1.369234e+06, +1.087369e+06, -2.993379e+06
+3.572944e+05, +3.017359e+05, -7.864828e+05, +1.087369e+06, +8.853317e+05, -2.389565e+06
-1.007738e+06, -8.634258e+05, +2.235712e+06, -2.993379e+06, -2.389565e+06, +6.642208e+06

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK003X: 0.001596 s

Reference point on the trajectory:
  Time: 2021-11-11 21:28:40.272262 UTC
  Lon     = +-2.256513 +/- 0.0053 deg
  Lat     = +53.861113 +/- 0.0107 deg
  Lat geo = +53.680778 +/- 0.0107 deg
  Ht      =  110899.95 +/- 599.10 m

  JD dynamic   = 2459530.395711299498 
  LST apparent = 11.1512842191 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 123.24512 +/- 2.8722 deg
  Dec       = +53.85003 +/- 2.4022 deg
  Azimuth   =  39.82754 +/- 3.4602 deg
  Elevation = +31.41673 +/- 0.5977 deg
  Vavg      =  60.64915 +/- 2.5106 km/s
  Vinit     =  61.62783 +/- 2.1673 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 123.08052 +/- 2.8722 deg
  Dec       = +53.65587 +/- 2.4022 deg
  Azimuth   =  40.06073 +/- 3.4602 deg
  Elevation = +31.32993 +/- 0.5977 deg
  Vavg      =  60.80245 +/- 2.5106 km/s
  Vinit     =  61.78113 +/- 2.1673 km/s
Radiant (geocentric, J2000):
  R.A.   = 123.40062 +/- 2.8333 deg
  Dec    = +53.50892 +/- 2.4476 deg
  Vg     =  60.62076 +/- 2.2098 km/s
  Vinf   =  61.62783 +/- 2.1673 km/s
  Zc     =  58.72183 +/- 0.5900 deg
  Zg     =  59.25289 +/- 0.6466 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 112.89251 +/- 1.4875 deg
  Bg     = +32.69337 +/- 2.7788 deg
  Vh     =  43.03915 +/- 2.2397 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.28015 +/- 3.0069 deg
  Bh     = +49.53544 +/- 3.9150 deg
  Vh_x   =  -3.26839 +/- 1.4482 km/s
  Vh_y   = -27.73956 +/- 0.2977 km/s
  Vh_z   = -32.74451 +/- 3.4061 km/s
Orbit:
  La Sun = 229.414547 +/- -0.0000 deg
  a      = -14.757455 +/- 3.8948 AU
  e      =   1.048045 +/- 0.0653
  i      = 115.423664 +/- 0.9127 deg
  peri   = 243.548840 +/- 16.4440 deg
  node   = 229.414289 +/- 0.0000 deg
  Pi     = 112.963129 +/- 16.4440 deg
  q      =   0.709023 +/- 0.1086 AU
  f      = 296.451525 +/- 16.4440 deg
  M      =        nan +/- nan deg
  Q      = -30.223932 +/- 7.7791 AU
  n      =   0.017386 +/- 0.1661 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -0.806197 +/- 1.0409
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.337122e-03, +4.457155e-03, -1.968468e+02, -2.266418e-07, -6.943846e-01, -3.099870e-02
q   , +4.457155e-03, +7.566599e-03, -2.364628e+02, -4.090804e-07, -1.157171e+00, -5.574417e-02
Tp  , -1.968468e+02, -2.364628e+02, +1.453874e+07, +1.257503e-02, +3.703035e+04, +1.726049e+03
node, -2.266418e-07, -4.090804e-07, +1.257503e-02, +2.507232e-11, +6.223281e-05, +3.416616e-06
peri, -6.943846e-01, -1.157171e+00, +3.703035e+04, +6.223281e-05, +1.772170e+02, +8.481918e+00
i   , -3.099870e-02, -5.574417e-02, +1.726049e+03, +3.416616e-06, +8.481918e+00, +4.656486e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 41.157686

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 1.313e-05 s
  Stddev    = 3.62e-03 s

Begin point on the trajectory:
  Lon =    -2.277182 +/- 0.0048 deg
  Lat =    53.846456 +/- 0.0095 deg
  Ht  = 109580.66 +/- 530.96 m
End point on the trajectory:
  Lon =    -2.555242 +/- 0.0049 deg
  Lat =    53.649618 +/- 0.0069 deg
  Ht  = 92013.09 +/- 349.66 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   109580.66,    92013.09,          0.013965,     27.46,     51.98,              54.86, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20211111_212831_805_0408064.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,  26.197870,   0.000000,   107861.63,    92627.13,          0.040789,     54.65,    167.49,              39.47, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20211111_212832_597_0401152.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,     UK001L,       1,  0.000000, 2459530.394910093397, 221.95300,  60.16288,              344.19601,  24.58854,       344.19754,       24.58465,    221.95300,     +60.16288,     221.94772,      +60.15969,  3762686.87,   741792.10,  5217367.55,      53.861987,       -2.255112,  110978.67,  256488.35,       0.00,              151.02,   312.35,      0.00,           61596.93,     16.36,     -8.64,          14.88,  +5.05,  +3.00
  1,     UK001L,       0,  0.040180, 2459530.394910558593, 222.65149,  59.86668,              343.72430,  24.42925,       343.72388,       24.43030,    222.65149,     +59.86668,     222.65309,      +59.86753,  3763554.41,   740468.63,  5215201.42,      53.846456,       -2.277182,  109580.66,  254739.54,    2682.60,             2531.58,   216.70,  66764.58,           61596.93,     -4.39,      2.32,           4.02,  +2.71,  +0.68
  2,     UK001L,       0,  0.080320, 2459530.394911022857, 223.29018,  59.62280,              343.29997,  24.31247,       343.30767,       24.29320,    223.29018,     +59.62280,     223.26415,      +59.60722,  3764308.17,   739318.74,  5213319.39,      53.832954,       -2.296374,  108366.65,  253233.87,    5013.36,             4862.34,    73.72,  58065.74,           61596.93,     80.14,    -42.36,          73.84,  +2.61,  +0.59
  3,     UK001L,       0,  0.120508, 2459530.394911488052, 223.89790,  59.32229,              342.86681,  24.14053,       342.86473,       24.14570,    223.89790,     +59.32229,     223.90550,      +59.32645,  3765102.69,   738106.68,  5211335.59,      53.818712,       -2.316590,  107087.65,  251660.35,    7470.14,             7319.12,    53.80,  61132.26,           61596.93,    -21.41,     11.30,          19.84,  +1.86,  -0.14
  4,     UK001L,       0,  0.160664, 2459530.394911952782, 224.54692,  59.04325,              342.41714,  23.99966,       342.41881,       23.99557,    224.54692,     +59.04325,     224.54195,      +59.03999,  3765894.48,   736898.76,  5209358.59,      53.804511,       -2.336731,  105813.68,  250106.51,    9918.52,             9767.50,    27.45,  60971.55,           61307.73,     16.85,     -8.90,          15.71,  +1.41,  -0.58
  5,     UK001L,       0,  0.200828, 2459530.394912417978, 225.15348,  58.76226,              341.98580,  23.85253,       341.98735,       23.84876,    225.15348,     +58.76226,     225.14911,      +58.75928,  3766652.94,   735741.72,  5207464.84,      53.790899,       -2.356025,  104593.98,  248631.86,   12263.79,            12112.77,  -102.50,  58392.44,           60808.65,     15.46,     -8.16,          14.50,  +1.13,  -0.85
  6,     UK001L,       0,  0.241008, 2459530.394912882708, 225.81822,  58.44697,              341.50657,  23.68828,       341.50838,       23.68393,    225.81822,     +58.44697,     225.81320,      +58.44355,  3767487.00,   734469.31,  5205382.29,      53.775920,       -2.377221,  103253.38,  247025.54,   14842.88,            14691.86,     0.38,  64188.32,           60992.64,     17.73,     -9.36,          16.74,  +1.01,  -0.95
  7,     UK001L,       0,  0.281200, 2459530.394913347904, 226.42898,  58.11870,              341.04702,  23.50523,       341.04040,       23.52107,    226.42898,     +58.11870,     226.45218,      +58.13105,  3768293.49,   733239.00,  5203368.62,      53.761428,       -2.397715,  101957.82,  245488.35,   17336.66,            17185.64,    17.22,  62046.83,           61157.21,    -64.27,     33.91,          61.06,  +1.06,  -0.89
  8,     UK001L,       0,  0.321364, 2459530.394913813099, 227.03991,  57.81954,              340.59606,  23.35269,       340.59162,       23.36322,    227.03991,     +57.81954,     227.05593,      +57.82770,  3769059.17,   732070.91,  5201456.81,      53.747660,       -2.417175,  100728.42,  244043.83,   19704.30,            19553.28,   -90.36,  58949.32,           61086.81,    -42.56,     22.46,          40.68,  +0.98,  -0.96
  9,     UK001L,       0,  0.361540, 2459530.394914277829, 227.65224,  57.50370,              340.13409,  23.18856,       340.12966,       23.19899,    227.65224,     +57.50370,     227.66832,      +57.51172,  3769840.03,   730879.69,  5199507.12,      53.733610,       -2.437012,   99475.30,  242585.68,   22118.85,            21967.83,  -151.78,  60099.12,           60997.09,    -41.95,     22.14,          40.33,  +0.79,  -1.13
 10,     UK001L,       0,  0.401716, 2459530.394914743025, 228.33816,  57.16508,              339.61921,  23.02291,       339.62198,       23.01643,    228.33816,     +57.16508,     228.33077,      +57.16014,  3770690.10,   729582.87,  5197384.61,      53.718306,       -2.458586,   98111.85,  241015.58,   24747.43,            24596.40,     0.84,  65426.60,           61149.53,     25.91,    -13.69,          25.08,  +0.80,  -1.11
 11,     UK001L,       0,  0.441876, 2459530.394915207755, 228.97379,  56.84859,              339.13739,  22.87093,       339.14882,       22.84442,    228.97379,     +56.84859,     228.93852,      +56.82855,  3771474.30,   728386.56,  5195426.59,      53.704178,       -2.478496,   96854.72,  239584.01,   27172.29,            27021.27,   -49.26,  60380.13,           61207.89,    105.43,    -55.76,         102.68,  +0.84,  -1.06
 12,     UK001L,       0,  0.482088, 2459530.394915672950, 229.56992,  56.47485,              338.64851,  22.66163,       338.64893,       22.66066,    229.56992,     +56.47485,     229.57059,      +56.47413,  3772295.13,   727134.34,  5193377.08,      53.689381,       -2.499322,   95539.56,  238102.74,   29710.45,            29559.43,    10.72,  63119.56,           61306.25,      3.82,     -2.02,           3.74,  +0.69,  -1.19
 13,     UK001L,       0,  0.522280, 2459530.394916138146, 230.18537,  56.11395,              338.15106,  22.47222,       338.14978,       22.47514,    230.18537,     +56.11395,     230.19165,      +56.11613,  3773106.85,   725896.03,  5191350.32,      53.674739,       -2.519913,   94239.70,  236655.74,   32220.46,            32069.44,    43.78,  62450.30,           61400.78,    -11.53,      6.09,          11.36,  +1.02,  -0.85
 14,     UK001L,       0,  0.562448, 2459530.394916603342, 230.82578,  55.76990,              337.64378,  22.30789,       337.65246,       22.28828,    230.82578,     +55.76990,     230.80063,      +55.75543,  3773908.00,   724673.85,  5189349.97,      53.660278,       -2.540231,   92957.45,  235245.32,   34697.74,            34546.72,    45.59,  61673.00,           61469.02,     76.90,    -40.66,          76.28,  +1.31,  -0.55
 15,     UK001L,       0,  0.602624, 2459530.394917068072, 231.21469,  55.46864,              337.29206,  22.12632,       337.28238,       22.14806,    231.21469,     +55.46864,     231.24771,      +55.48459,  3774498.27,   723773.38,  5187876.16,      53.649618,       -2.555242,   92013.09,  234218.62,   36522.95,            36371.93,  -605.16,  45430.40,           61160.86,    -85.06,     44.87,          84.69,  +2.95,  +1.10
  0,     UK003X,       0,  0.103556, 2459530.394911269657, 189.27361,  61.35473,                0.92283,  23.04839,         0.91912,       23.05810,    189.27361,     +61.35473,     189.28072,      +61.36451,  3764621.83,   738840.24,  5212536.21,      53.827332,       -2.304379,  107861.63,  263484.75,       0.00,             5832.24,  -388.39,      0.00,           64788.48,    -45.00,     14.62,          37.04,  +4.27,  +2.17
  1,     UK003X,       0,  0.143636, 2459530.394911733922, 189.94440,  61.17647,                0.57593,  22.86471,         0.54745,       22.93844,    189.94440,     +61.17647,     189.99753,      +61.25052,  3765557.48,   737412.87,  5210200.04,      53.810556,       -2.328151,  106355.82,  261107.15,    2893.18,             8725.43,    34.76,  72185.25,           64788.48,   -339.39,    109.48,         281.71,  +3.50,  +1.42
  2,     UK003X,       0,  0.183608, 2459530.394912196323, 190.57566,  61.13430,                0.24590,  22.81974,         0.23870,       22.83837,    190.57566,     +61.13430,     190.58998,      +61.15297,  3766322.04,   736246.50,  5208291.03,      53.796838,       -2.347601,  105126.03,  259172.17,    5257.35,            11089.59,   -64.47,  59145.57,           64788.48,    -85.09,     27.62,          71.19,  +1.97,  -0.10
  3,     UK003X,       0,  0.223616, 2459530.394912659656, 191.24071,  61.03537,              359.89734,  22.72029,       359.89510,       22.72605,    191.24071,     +61.03537,     191.24593,      +61.04112,  3767161.63,   734965.68,  5206194.69,      53.781765,       -2.368938,  103776.27,  257055.70,    7853.51,            13685.76,    66.09,  64891.08,           64788.48,    -26.10,      8.48,          22.02,  +1.66,  -0.39
  4,     UK003X,       0,  0.263636, 2459530.394913122524, 191.82738,  60.93462,              359.58834,  22.62117,       359.58698,       22.62465,    191.82738,     +60.93462,     191.83112,      +60.93808,  3767903.39,   733834.11,  5204342.64,      53.768439,       -2.387802,  102584.40,  255193.35,   10147.14,            15979.38,  -106.63,  57311.98,           63115.15,    -15.64,      5.08,          13.29,  +1.81,  -0.22
  5,     UK003X,       0,  0.303656, 2459530.394913585857, 192.48305,  60.81331,              359.24107,  22.50403,       359.23905,       22.50915,    192.48305,     +60.81331,     192.48831,      +60.81840,  3768730.19,   732572.79,  5202278.24,      53.753576,       -2.408804,  101256.57,  253125.91,   12703.76,            18536.00,   -16.36,  63883.56,           62746.79,    -22.90,      7.45,          19.63,  +1.39,  -0.63
  6,     UK003X,       0,  0.343648, 2459530.394914048724, 193.14267,  60.72672,              358.89066,  22.42412,       358.90166,       22.39629,    193.14267,     +60.72672,     193.12192,      +60.69914,  3769520.32,   731367.42,  5200305.40,      53.739364,       -2.428877,   99988.30,  251158.72,   15146.97,            20979.22,   -37.76,  61092.59,           62438.12,    123.49,    -40.30,         106.68,  +1.47,  -0.53
  7,     UK003X,       0,  0.383704, 2459530.394914512523, 193.81862,  60.55655,              358.52726,  22.26346,       358.52499,       22.26915,    193.81862,     +60.55655,     193.82487,      +60.56217,  3770390.17,   730040.43,  5198133.50,      53.723707,       -2.450951,   98592.84,  249002.91,   17836.72,            23668.96,   183.42,  67149.57,           62702.55,    -25.06,      8.15,          21.83,  +1.23,  -0.75
  8,     UK003X,       0,  0.423696, 2459530.394914975390, 194.46826,  60.45848,              358.17818,  22.17704,       358.18727,       22.15433,    194.46826,     +60.45848,     194.45112,      +60.43613,  3771158.10,   728868.92,  5196216.08,      53.709876,       -2.470453,   97361.54,  247108.54,   20211.29,            26043.54,    93.37,  59376.31,           62604.29,     99.31,    -32.39,          87.19,  +1.41,  -0.55
  9,     UK003X,       0,  0.463744, 2459530.394915438723, 195.17498,  60.28397,              357.79316,  22.01809,       357.79281,       22.01896,    195.17498,     +60.28397,     195.17765,      +60.28481,  3772042.93,   727519.08,  5194006.78,      53.693928,       -2.492891,   95943.59,  244936.26,   22947.35,            28779.60,   361.36,  68319.50,           62866.29,     -3.76,      1.22,           3.33,  +1.13,  -0.82
 10,     UK003X,       0,  0.503760, 2459530.394915902056, 195.76235,  60.16260,              357.47230,  21.91192,       357.47360,       21.90872,    195.76235,     +60.16260,     195.76167,      +60.15946,  3772747.61,   726444.06,  5192247.29,      53.681220,       -2.510790,   94814.89,  243214.58,   25126.35,            30958.59,    74.26,  54453.15,           62626.74,     13.84,     -4.50,          12.34,  +1.68,  -0.25
 11,     UK003X,       0,  0.543736, 2459530.394916364457, 196.47384,  60.06381,              357.08465,  21.83426,       357.10642,       21.78080,    196.47384,     +60.06381,     196.42899,      +60.01173,  3773548.26,   725222.64,  5190248.18,      53.666772,       -2.531097,   93533.14,  241267.47,   27602.10,            33434.35,    86.38,  61930.99,           62461.84,    228.72,    -74.86,         205.74,  +1.88,  -0.03
 12,     UK003X,       0,  0.583712, 2459530.394916827325, 196.98689,  59.99523,              356.80431,  21.78277,       356.84275,       21.68858,    196.98689,     +59.99523,     196.90530,      +59.90370,  3774114.41,   724358.96,  5188834.58,      53.656551,       -2.545503,   92627.13,  239896.74,   29352.75,            35184.99,  -626.61,  43792.36,           61747.39,    400.68,   -131.68,         362.63,  +3.64,  +1.74

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.