Orbital Analysis for matched events on 20210929_025724.618_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 60.76° Bg 9.99° Vg 46.57km/s
mass 0.00690g, abs. mag 1.7
Path Details
------------
start -0.43° 50.59° 94.28km
end   -0.45° 50.63° 80.25km

Orbit Details
-------------
Semimajor axis 0.96A.U., eccentricity 0.92, inclination 133.90°, Period 0.94Y, LA Sun 185.90°, last Perihelion 2020-11-26

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: 2459486.623201600742
Time: 2021-09-29 02:57:24.618304 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0022 and UK003N
 Convergence angle = 65.86118 deg
 R.A. =  57.17555  Dec = +30.46892 deg

Best intersection: Stations UK0022 and UK003N with Qconv = 65.86 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2533963.47 +/- 65.91 m
 Y =   3245225.05 +/- 67.91 m
 Z =   4977493.75 +/- 27.42 m
 Vx =    22778.72 +/- 274.76 m/s
 Vy =    34440.09 +/- 349.20 m/s
 Vz =    24240.90 +/- 321.00 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.832306e+03, +4.357264e+03, +1.461060e+03, +1.476716e+04, +1.519671e+04, +3.801474e+03
+4.357264e+03, +4.994823e+03, +1.181141e+03, +1.264570e+04, +1.787524e+04, +2.494259e+03
+1.461060e+03, +1.181141e+03, +8.301177e+02, +4.531201e+03, +4.488838e+03, +3.169941e+03
+1.476716e+04, +1.264570e+04, +4.531201e+03, +6.867540e+04, +6.488892e+04, +2.257466e+04
+1.519671e+04, +1.787524e+04, +4.488838e+03, +6.488892e+04, +9.295468e+04, +1.673474e+04
+3.801474e+03, +2.494259e+03, +3.169941e+03, +2.257466e+04, +1.673474e+04, +2.177358e+04

Timing offsets (from input data):
    UK0022: -0.000212 s
    UK002N: 0.000000 s
    UK0039: 0.000000 s
    UK003N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 02:57:24.618304 UTC
  Lon     = +-0.432942 +/- 0.0003 deg
  Lat     = +50.588905 +/- 0.0005 deg
  Lat geo = +50.402767 +/- 0.0005 deg
  Ht      =   94253.57 +/- 73.77 m

  JD dynamic   = 2459486.624002341647 
  LST apparent = 52.0162755912 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  56.51930 +/- 0.1693 deg
  Dec       = +30.41581 +/- 0.2017 deg
  Azimuth   = 168.82733 +/- 0.4140 deg
  Elevation = +69.54796 +/- 0.2013 deg
  Vavg      =  46.68258 +/- 0.3376 km/s
  Vinit     =  47.88122 +/- 0.3463 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  56.93438 +/- 0.1693 deg
  Dec       = +30.40087 +/- 0.2017 deg
  Azimuth   = 167.82222 +/- 0.4140 deg
  Elevation = +69.47986 +/- 0.2013 deg
  Vavg      =  46.70384 +/- 0.3376 km/s
  Vinit     =  47.90248 +/- 0.3463 km/s
Radiant (geocentric, J2000):
  R.A.   =  56.22958 +/- 0.1713 deg
  Dec    = +30.06845 +/- 0.2021 deg
  Vg     =  46.57471 +/- 0.3560 km/s
  Vinf   =  47.88122 +/- 0.3463 km/s
  Zc     =  20.26946 +/- 0.2013 deg
  Zg     =  20.55279 +/- 0.2018 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.75961 +/- 0.1511 deg
  Bg     =  +9.99435 +/- 0.2018 deg
  Vh     =  29.12930 +/- 0.3158 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  22.04209 +/- 0.4002 deg
  Bh     = +16.11510 +/- 0.3457 deg
  Vh_x   = -25.93925 +/- 0.2500 km/s
  Vh_y   = -10.50231 +/- 0.2935 km/s
  Vh_z   =  -8.08536 +/- 0.1394 km/s
Orbit:
  La Sun = 185.897119 +/- -0.0000 deg
  a      =   0.961635 +/- 0.0188 AU
  e      =   0.922969 +/- 0.0015
  i      = 133.901553 +/- 1.2241 deg
  peri   = 338.341503 +/- 0.6112 deg
  node   = 185.898253 +/- 0.0000 deg
  Pi     = 164.239756 +/- 0.6112 deg
  q      =   0.074076 +/- 0.0025 AU
  f      = 201.657567 +/- 0.6112 deg
  M      = 320.233142 +/- 1.3044 deg
  Q      =   1.849194 +/- 0.0355 AU
  n      =   1.045176 +/- 0.0313 deg/day
  T      =   0.943009 +/- 0.0276 years
  Last perihelion JD = 2459180.232030 (2020-11-26 17:34:07.391564) +/- 10.1906 days
  Tj     =   5.182455 +/- 0.1146
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.402116e-06, -3.611823e-06, +9.339985e-03, +2.914941e-10, +1.345382e-05, -1.213556e-05
q   , -3.611823e-06, +7.136670e-06, -2.588336e-02, -9.067054e-10, -2.982128e-05, +3.784947e-05
Tp  , +9.339985e-03, -2.588336e-02, +1.185201e+02, +4.374088e-06, +1.189164e-01, -1.828289e-01
node, +2.914941e-10, -9.067054e-10, +4.374088e-06, +2.848132e-13, +4.253296e-09, -1.200607e-08
peri, +1.345382e-05, -2.982128e-05, +1.189164e-01, +4.253296e-09, +1.293256e-04, -1.776796e-04
i   , -1.213556e-05, +3.784947e-05, -1.828289e-01, -1.200607e-08, -1.776796e-04, +5.063053e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.700989
 a2 = 19.937908

Mean time residuals from time vs. length:
  Station with reference time: UK003N
  Avg. res. = 3.944e-06 s
  Stddev    = 1.99e-03 s

Begin point on the trajectory:
  Lon =    -0.432913 +/- 0.0003 deg
  Lat =    50.588813 +/- 0.0006 deg
  Ht  = 94281.97 +/- 77.71 m
End point on the trajectory:
  Lon =    -0.448407 +/- 0.0004 deg
  Lat =    50.634398 +/- 0.0005 deg
  Ht  = 80248.14 +/- 59.76 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
    UK0022,   False,    -0.848117,    51.261084,   92.00,   0.864010,  19.321518,    90452.45,    80248.14,          0.016254,     19.45,     26.46,              20.08, 1.0000,    True,    True, {"ff_name": "FF_UK0022_20210929_025715_855_0287488.fits"}
    UK002N,    True,    -0.727590,    51.263100,   57.00, 10132.508916,   1.231423,    98287.43,    85397.60,          2.023418,       nan,       nan,              18.85, 0.0000,    True,    True, {"ff_name": "FF_UK002N_20210929_025724_239_0775680.fits"}
    UK0039,    True,    -0.345391,    51.458005,   13.00,   0.000000,   0.000000,    98981.69,    85970.75,          0.247891,       nan,       nan,              26.35, 0.0000,    True,    True, {"ff_name": "FF_UK0039_20210929_025716_281_0777984.fits"}
    UK003N,   False,    -0.162561,    51.236425,  111.00,  24.466280,   2.270979,    94281.97,    83372.52,          0.015949,     28.09,     16.63,              21.85, 1.0000,    True,    True, {"ff_name": "FF_UK003N_20210929_025716_723_0779264.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,     UK0022,       0,  0.078866, 2459486.623202515766,  66.10924,  11.30231,              158.31693,  48.32593,       158.35471,       48.32154,     66.10924,     +11.30231,      66.08573,      +11.29213,  2532033.50,  3242307.05,  4975439.89,      50.601232,       -0.437097,   90452.45,  120319.04,       0.00,             4056.83,   250.25,      0.00,           46025.25,    -43.13,    -31.75,          91.80,  +2.94,  +2.54
  1,     UK0022,       0,  0.119002, 2459486.623202980496,  66.20151,  11.03054,              158.28113,  48.04047,       158.28906,       48.03955,     66.20151,     +11.03054,      66.19698,      +11.02839,  2531244.49,  3241114.12,  4974600.24,      50.606275,       -0.438831,   88898.56,  118770.11,    1658.50,             5715.33,   -13.01,  41321.99,           46025.25,     -8.98,     -6.61,          19.37,  +2.25,  +1.88
  2,     UK0022,       0,  0.159166, 2459486.623203445226,  66.30749,  10.71193,              158.24245,  47.70630,       158.21213,       47.70979,     66.30749,     +10.71193,      66.32749,      +10.72014,  2530347.88,  3239758.49,  4973646.07,      50.612009,       -0.440779,   87132.81,  117014.01,    3543.20,             7600.03,   -51.42,  46925.01,           46025.25,     34.06,     25.02,          74.50,  +2.05,  +1.71
  3,     UK0022,       0,  0.199302, 2459486.623203909956,  66.47347,  10.38681,              158.12156,  47.35181,       158.12910,       47.35094,     66.47347,     +10.38681,      66.46947,      +10.38475,  2529402.19,  3238328.67,  4972639.68,      50.618061,       -0.442827,   85270.48,  115166.38,    5531.05,             9587.88,    14.67,  49527.85,           46025.25,     -8.39,     -6.16,          18.64,  +1.74,  +1.43
  4,     UK0022,       0,  0.239462, 2459486.623204374686,  66.59824,  10.06067,              158.05992,  47.00585,       158.05110,       47.00686,     66.59824,     +10.06067,      66.60493,      +10.06308,  2528522.87,  3236999.19,  4971703.92,      50.623691,       -0.444744,   83538.90,  113452.49,    7379.38,            11436.21,   -59.90,  46024.29,           46405.22,      9.74,      7.16,          21.98,  +1.79,  +1.52
  5,     UK0022,       0,  0.279590, 2459486.623204838950,  66.74176,   9.76069,              157.96347,  46.68085,       157.97832,       46.67914,     66.74176,      +9.76069,      66.73330,       +9.75660,  2527709.13,  3235768.86,  4970837.94,      50.628903,       -0.446531,   81936.47,  111870.01,    9089.88,            13146.71,  -270.78,  42626.13,           45974.19,    -16.25,    -11.95,          37.19,  +1.66,  +1.42
  6,     UK0022,       0,  0.319774, 2459486.623205304146,  66.84898,   9.41468,              157.93407,  46.31961,       157.89993,       46.32352,     66.84898,      +9.41468,      66.87258,       +9.42410,  2526851.74,  3234472.53,  4969925.51,      50.634398,       -0.448407,   80248.14,  110206.97,   10892.14,            14948.97,  -392.58,  44850.09,           45699.65,     37.05,     27.20,          86.02,  +2.11,  +1.90
  0,     UK002N,       1,  0.328345, 2459486.623205401003,  59.67625,  12.33599,              167.71815,  50.53960,       164.59060,       50.52773,     59.67625,     +12.33599,      61.69133,      +12.62912,  2536011.99,  3248322.29,  4979673.77,      50.575837,       -0.430260,   98287.43,  126604.18,       0.00,             4306.02, -11445.92,      0.00,           47994.31,   3641.79,   2454.25,        7156.20,  +2.58,  +2.07
  1,     UK002N,       1,  0.368561, 2459486.623205866665,  59.67153,  12.06200,              167.78371,  50.26877,       164.56545,       50.25232,     59.67153,     +12.06200,      61.75577,      +12.36047,  2535102.38,  3246947.02,  4978705.77,      50.581638,       -0.432227,   96495.64,  124789.44,    1912.01,             2394.01, -15283.52,  47543.56,           47994.31,   3714.54,   2504.35,        7406.40,  +1.90,  +1.42
  2,     UK002N,       1,  0.408837, 2459486.623206332792,  59.79738,  11.75997,              167.65753,  49.95280,       164.53677,       49.94275,     59.79738,     +11.75997,      61.82850,      +12.05857,  2534110.89,  3245447.95,  4977650.64,      50.587964,       -0.434358,   94542.65,  122814.94,    3996.13,              309.89, -19296.10,  51745.84,           47994.31,   3569.03,   2404.52,        7228.96,  +1.62,  +1.17
  3,     UK002N,       1,  0.449057, 2459486.623206797987,  59.84069,  11.49639,              167.64821,  49.68590,       164.51366,       49.67567,     59.84069,     +11.49639,      61.89027,      +11.79796,  2533279.81,  3244191.40,  4976766.21,      50.593270,       -0.436172,   92905.63,  121162.36,    5743.08,             1437.06, -20094.72,  43434.87,           47994.31,   3556.14,   2395.78,        7301.07,  +1.28,  +0.86
  4,     UK002N,       1,  0.489345, 2459486.623207264580,  59.91558,  11.16535,              167.60590,  49.34793,       164.48304,       49.33914,     59.91558,     +11.16535,      61.96911,      +11.46977,  2532264.67,  3242656.58,  4975685.91,      50.599755,       -0.438353,   90906.19,  119147.97,    7876.91,             3570.89, -19889.93,  52964.48,           48658.90,   3508.29,   2363.08,        7324.15,  +1.26,  +0.88
  5,     UK002N,       1,  0.529637, 2459486.623207730707,  60.01167,  10.83108,              167.53314,  49.00387,       164.45259,       48.99812,     60.01167,     +10.83108,      62.04871,      +11.13716,  2531269.75,  3241152.31,  4974627.12,      50.606114,       -0.440496,   88946.61,  117177.78,    9968.25,             5662.23, -19727.81,  51904.70,           49312.88,   3427.55,   2307.89,        7275.08,  +1.08,  +0.74
  6,     UK002N,       1,  0.569901, 2459486.623208196834,  60.07339,  10.52036,              167.50682,  48.68777,       164.42568,       48.68262,     60.07339,     +10.52036,      62.12161,      +10.82934,  2530377.83,  3239803.78,  4973677.95,      50.611818,       -0.442435,   87189.94,  115414.97,   11843.09,             7537.07, -19780.87,  46563.45,           49251.65,   3398.09,   2287.83,        7322.49,  +1.15,  +0.84
  7,     UK002N,       1,  0.610189, 2459486.623208662961,  60.17080,  10.19538,              167.43126,  48.35268,       164.39753,       48.35060,     60.17080,     +10.19538,      62.19828,      +10.50541,  2529467.77,  3238427.82,  4972709.47,      50.617641,       -0.444412,   85397.60,  113620.07,   13756.05,             9450.03, -19796.95,  47482.18,           49078.58,   3315.89,   2231.74,        7257.44,  +1.95,  +1.67
  0,     UK0039,       1, -0.107948, 2459486.623200351372,  49.92238,   5.89627,              183.03788,  44.40223,       183.39327,       44.45332,     49.92238,      +5.89627,      49.66873,       +5.95625,  2536364.00,  3248854.51,  4980048.37,      50.573593,       -0.427741,   98981.69,  140211.97,       0.00,             5045.95, 10184.25,     -0.00,           47842.11,   -462.74,   -432.72,         932.00,  +3.64,  +2.91
  1,     UK0039,       1, -0.067360, 2459486.623200821225,  49.83083,   5.56681,              183.14941,  44.06989,       183.49728,       44.11996,     49.83083,      +5.56681,      49.58151,       +5.62592,  2535448.22,  3247469.91,  4979073.81,      50.579432,       -0.429722,   97177.89,  138474.49,    1924.98,             3120.97,  6315.87,  47427.31,           47842.11,   -449.68,   -420.74,         917.30,  +2.67,  +1.96
  2,     UK0039,       1, -0.026760, 2459486.623201291077,  49.73927,   5.23136,              183.25954,  43.73145,       183.60192,       43.78078,     49.73927,      +5.23136,      49.49285,       +5.28992,  2534539.69,  3246096.27,  4978106.96,      50.585228,       -0.431689,   95388.44,  136755.75,    3834.71,             1211.24,  2462.16,  47037.73,           47842.11,   -439.40,   -411.33,         907.81,  +1.97,  +1.29
  3,     UK0039,       1,  0.013888, 2459486.623201761395,  49.64567,   4.86891,              183.37001,  43.36586,       183.71298,       43.41530,     49.64567,      +4.86891,      49.39769,       +4.92794,  2533585.83,  3244654.08,  4977091.87,      50.591316,       -0.433748,   93509.73,  134956.75,    5839.76,              793.81,    98.45,  49326.99,           47842.11,   -436.86,   -409.06,         914.71,  +1.95,  +1.30
  4,     UK0039,       1,  0.054564, 2459486.623202232178,  49.53835,   4.48998,              183.49713,  42.98320,       183.82812,       43.03098,     49.53835,      +4.48998,      49.29789,       +4.54740,  2532609.74,  3243178.29,  4976053.12,      50.597550,       -0.435852,   91587.33,  133121.93,    7891.51,             2845.56,   202.59,  50441.36,           48484.59,   -418.29,   -391.94,         888.18,  +1.67,  +1.05
  5,     UK0039,       1,  0.095244, 2459486.623202702962,  49.43712,   4.10734,              183.61437,  42.59693,       183.94262,       42.64436,     49.43712,      +4.10734,      49.19751,       +4.16467,  2531654.45,  3241733.95,  4975036.51,      50.603654,       -0.437917,   89705.94,  131332.45,    9899.54,             4853.60,   262.82,  49361.75,           48793.43,   -411.65,   -385.87,         886.16,  +1.56,  +0.97
  6,     UK0039,       1,  0.136000, 2459486.623203174677,  49.31663,   3.68224,              183.75389,  42.16734,       184.06811,       42.21282,     49.31663,      +3.68224,      49.08605,       +3.73759,  2530618.29,  3240167.33,  4973933.84,      50.610280,       -0.440145,   87665.36,  129398.71,   12077.57,             7031.62,   489.40,  53440.63,           49403.13,   -390.71,   -366.53,         853.96,  +1.61,  +1.05
  7,     UK0039,       1,  0.176648, 2459486.623203645460,  49.21524,   3.31890,              183.86964,  41.80012,       184.17508,       41.84438,     49.21524,      +3.31890,      48.99012,       +3.37309,  2529757.78,  3238866.30,  4973018.09,      50.615785,       -0.442024,   85970.75,  127798.87,   13886.37,             8840.42,   351.92,  44499.14,           49248.18,   -377.12,   -353.98,         834.80,  +1.93,  +1.40
  0,     UK003N,       0,  0.000000, 2459486.623201600742,  42.77511,  13.10287,              194.84877,  51.09516,       194.88863,       51.10659,     42.77511,     +13.10287,      42.75170,      +13.11827,  2533977.92,  3245246.90,  4977509.13,      50.588813,       -0.432913,   94281.97,  120425.54,       0.00,               30.37,    -0.00,      0.00,           49018.19,    -29.49,    -49.76,          99.07,  +3.23,  +2.83
  1,     UK003N,       0,  0.040260, 2459486.623202066869,  42.56055,  12.84477,              195.10802,  50.80592,       195.11336,       50.80746,     42.56055,     +12.84477,      42.55757,      +12.84685,  2533095.82,  3243913.22,  4976570.40,      50.594445,       -0.434829,   92544.65,  118703.79,    1854.19,             1823.81,  -134.26,  46055.32,           49018.19,     -3.91,     -6.61,          13.34,  +2.38,  +2.01
  2,     UK003N,       0,  0.080580, 2459486.623202533461,  42.35238,  12.51567,              195.33617,  50.44730,       195.37127,       50.45735,     42.35238,     +12.51567,      42.33191,      +12.52937,  2532095.95,  3242401.48,  4975506.36,      50.600833,       -0.436980,   90575.44,  116756.84,    3955.92,             3925.55,    36.91,  52126.39,           49018.19,    -25.44,    -42.97,          88.21,  +2.32,  +1.98
  3,     UK003N,       0,  0.120872, 2459486.623202999588,  42.12437,  12.22429,              195.60163,  50.12214,       195.61266,       50.12530,     42.12437,     +12.22429,      42.11830,      +12.22862,  2531179.12,  3241015.28,  4974530.67,      50.606693,       -0.438968,   88769.83,  114976.54,    5883.11,             5852.74,    34.86,  47830.58,           49018.19,     -7.91,    -13.38,          27.88,  +2.09,  +1.79
  4,     UK003N,       0,  0.161164, 2459486.623203466181,  41.89906,  11.93111,              195.85979,  49.79516,       195.85104,       49.79266,     41.89906,     +11.93111,      41.90497,      +11.92766,  2530289.65,  3239670.45,  4973584.11,      50.612382,       -0.440903,   87018.14,  113254.05,    7752.80,             7722.42,   -24.68,  46403.35,           48480.12,      6.20,     10.51,          22.23,  +1.94,  +1.67
  5,     UK003N,       0,  0.201460, 2459486.623203932308,  41.67926,  11.63622,              196.10662,  49.46698,       196.08546,       49.46093,     41.67926,     +11.63622,      41.69282,      +11.62782,  2529430.06,  3238370.80,  4972669.33,      50.617882,       -0.442780,   85325.34,  111594.00,    9559.68,             9529.30,  -147.22,  44840.18,           47806.36,     14.87,     25.21,          54.10,  +1.91,  +1.67
  6,     UK003N,       0,  0.241820, 2459486.623204399366,  41.44844,  11.26534,              196.34626,  49.06168,       196.35917,       49.06537,     41.44844,     +11.26534,      41.44164,      +11.27048,  2528438.38,  3236871.45,  4971614.00,      50.624232,       -0.444921,   83372.52,  109684.35,   11644.19,            11613.82,     4.80,  51648.00,           47978.04,     -8.98,    -15.21,          33.22,  +2.10,  +1.90

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.