Orbital Analysis for matched events on 20211103_013556.348_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 108.13° Bg -5.59° Vg 65.47km/s
mass 0.00494g, abs. mag 0.5
best visual mag 1.1
Path Details
------------
start -0.48° 51.76° 112.71km
end   -0.61° 51.81° 103.31km

Orbit Details
-------------
Semimajor axis 4.53A.U., eccentricity 0.88, inclination 168.08°, Period 9.63Y, LA Sun 220.55°, last Perihelion 2012-04-26

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: 2459521.566624401603
Time: 2021-11-03 01:35:56.348298 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002C
 Convergence angle = 4.59671 deg
 R.A. = 101.42265  Dec =  -0.15645 deg
Intersection 2 - Stations: UK002B and UK002W
 Convergence angle = 20.61413 deg
 R.A. = 106.88517  Dec = +14.06018 deg
Intersection 3 - Stations: UK002B and UK003S
 Convergence angle = 21.12478 deg
 R.A. = 107.28289  Dec = +15.04632 deg
Intersection 4 - Stations: UK002B and UK004P
 Convergence angle = 31.03768 deg
 R.A. = 109.09140  Dec = +19.40131 deg
Intersection 5 - Stations: UK002C and UK002W
 Convergence angle = 16.22139 deg
 R.A. = 109.90169  Dec = +17.25391 deg
Intersection 6 - Stations: UK002C and UK003S
 Convergence angle = 16.75943 deg
 R.A. = 110.45916  Dec = +18.31553 deg
Intersection 7 - Stations: UK002C and UK004P
 Convergence angle = 35.36477 deg
 R.A. = 109.56105  Dec = +16.59834 deg
Intersection 8 - Stations: UK002W and UK003S
 Convergence angle = 0.63479 deg
 R.A. = 137.93160  Dec = +38.91585 deg
Intersection 9 - Stations: UK002W and UK004P
 Convergence angle = 51.58520 deg
 R.A. = 109.51847  Dec = +16.85614 deg
Intersection 10 - Stations: UK003S and UK004P
 Convergence angle = 52.11741 deg
 R.A. = 109.44642  Dec = +17.29070 deg

Best intersection: Stations UK003S and UK004P with Qconv = 52.12 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1634310.74 +/- 117.97 m
 Y =   3679054.68 +/- 131.05 m
 Z =   5074972.59 +/- 148.90 m
 Vx =   -20637.97 +/- 118.41 m/s
 Vy =    60078.30 +/- 1536.31 m/s
 Vz =    19337.58 +/- 1157.70 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.356355e+04, -1.186697e+04, -1.116575e+04, +7.293549e+04, -8.232374e+03, -6.918626e+04
-1.186697e+04, +1.338636e+04, +1.053474e+04, -5.070196e+04, +4.625528e+03, +4.962270e+04
-1.116575e+04, +1.053474e+04, +1.119800e+04, -5.480509e+04, +5.582094e+03, +6.520985e+04
+7.293549e+04, -5.070196e+04, -5.480509e+04, +4.867028e+05, -7.006080e+04, -4.246765e+05
-8.232374e+03, +4.625528e+03, +5.582094e+03, -7.006080e+04, +4.540326e+04, +4.675831e+04
-6.918626e+04, +4.962270e+04, +6.520985e+04, -4.246765e+05, +4.675831e+04, +4.838458e+05

Timing offsets (from input data):
    UK002B: 0.000512 s
    UK002C: 0.000134 s
    UK002W: -0.000054 s
    UK003S: 0.000000 s
    UK004P: 0.000751 s

Reference point on the trajectory:
  Time: 2021-11-03 01:35:56.348298 UTC
  Lon     = +-0.474846 +/- 0.0022 deg
  Lat     = +51.760786 +/- 0.0004 deg
  Lat geo = +51.576810 +/- 0.0005 deg
  Ht      =  112756.74 +/- 160.95 m

  JD dynamic   = 2459521.567425142508 
  LST apparent = 66.0482364867 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 108.95851 +/- 0.5464 deg
  Dec       = +16.93091 +/- 0.7281 deg
  Azimuth   = 119.60476 +/- 1.0783 deg
  Elevation = +41.48415 +/- 0.3939 deg
  Vavg      =  65.15515 +/- 0.8899 km/s
  Vinit     =  66.40234 +/- 1.2238 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 109.15183 +/- 0.5464 deg
  Dec       = +16.88074 +/- 0.7281 deg
  Azimuth   = 119.43858 +/- 1.0783 deg
  Elevation = +41.33856 +/- 0.3939 deg
  Vavg      =  65.34673 +/- 0.8899 km/s
  Vinit     =  66.59392 +/- 1.2238 km/s
Radiant (geocentric, J2000):
  R.A.   = 108.85957 +/- 0.5424 deg
  Dec    = +16.66970 +/- 0.7421 deg
  Vg     =  65.46913 +/- 1.2400 km/s
  Vinf   =  66.40234 +/- 1.2238 km/s
  Zc     =  48.42516 +/- 0.3917 deg
  Zg     =  48.78982 +/- 0.4048 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 108.12820 +/- 0.4380 deg
  Bg     =  -5.58906 +/- 0.7920 deg
  Vh     =  39.90475 +/- 1.0720 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  90.60777 +/- 1.0765 deg
  Bh     =  -9.19428 +/- 1.3282 deg
  Vh_x   =   0.41785 +/- 0.8117 km/s
  Vh_y   = -39.38984 +/- 1.1323 km/s
  Vh_z   =   6.37608 +/- 0.8519 km/s
Orbit:
  La Sun = 220.553024 +/- -0.0000 deg
  a      =   4.527765 +/- 5.3926 AU
  e      =   0.875522 +/- 0.0627
  i      = 168.078868 +/- 1.7875 deg
  peri   =  85.709429 +/- 4.5267 deg
  node   =  40.550232 +/- 0.0013 deg
  Pi     = 126.259660 +/- 4.5280 deg
  q      =   0.563609 +/- 0.0265 AU
  f      = 274.286529 +/- 4.5255 deg
  M      = 355.798630 +/- nan deg
  Q      =   8.491922 +/- 10.8025 AU
  n      =   0.102301 +/- 0.0187 deg/day
  T      =   9.634441 +/- nan years
  Last perihelion JD = 2456043.595439 (2012-04-26 02:17:25.943485) +/- 1270.5489 days
  Tj     =   0.267487 +/- 0.5667
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.354074e-04, +2.535588e-04, -2.154766e+01, -7.206854e-06, -3.820495e-02, +1.541306e-02
q   , +2.535588e-04, +3.601708e-04, -2.433563e+01, -1.035017e-05, -5.187142e-02, +2.131876e-02
Tp  , -2.154766e+01, -2.433563e+01, +2.010551e+06, +7.046803e-01, +3.634014e+03, -1.484331e+03
node, -7.206854e-06, -1.035017e-05, +7.046803e-01, +4.447369e-07, +1.487940e-03, -8.531750e-04
peri, -3.820495e-02, -5.187142e-02, +3.634014e+03, +1.487940e-03, +7.520655e+00, -3.082322e+00
i   , +1.541306e-02, +2.131876e-02, -1.484331e+03, -8.531750e-04, -3.082322e+00, +1.664739e+00

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: UK003S
  Avg. res. = 1.939e-06 s
  Stddev    = 1.39e-03 s

Begin point on the trajectory:
  Lon =    -0.475459 +/- 0.0020 deg
  Lat =    51.761002 +/- 0.0004 deg
  Ht  = 112712.94 +/- 141.94 m
End point on the trajectory:
  Lon =    -0.608404 +/- 0.0017 deg
  Lat =    51.807428 +/- 0.0005 deg
  Ht  = 103310.75 +/- 133.72 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   110856.63,   105304.89,          0.031865,     47.55,     77.18,              61.02, 0.7653,    True,    True, {"ff_name": "FF_UK002B_20211103_013556_348_0754688.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   112140.26,   103811.96,          0.018193,     20.38,     41.48,              37.73, 0.3745,    True,    True, {"ff_name": "FF_UK002C_20211103_013551_150_0752384.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   112129.58,   103310.75,          0.030398,     16.37,     92.36,              34.03, 0.3132,    True,    True, {"ff_name": "FF_UK002W_20211103_013555_999_0750336.fits"}
    UK003S,   False,    -2.379340,    51.361330,  169.00,   0.000000,   0.000000,   112712.94,   104324.09,          0.011171,      6.10,     34.37,              34.37, 0.3188,    True,    True, {"ff_name": "FF_UK003S_20211103_013554_174_0749824.fits"}
    UK004P,   False,     0.265814,    50.757198,   61.00,   0.000000,   0.000000,   110581.86,   105479.79,          0.021725,     56.37,     29.57,              89.09, 0.9997,    True,    True, {"ff_name": "FF_UK004P_20211103_013556_242_0764416.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,     UK002B,       0,  0.047717, 2459521.566624868661, 168.82302,  67.80389,               29.29797,  41.39763,        29.27856,       41.42011,    168.82302,     +67.80389,     168.79640,      +67.82872,  1635202.41,  3676458.99,  5074137.11,      51.770163,       -0.501624,  110856.63,  165732.59,       0.00,             2868.92,    73.40,      0.00,           69656.92,    -65.95,     40.66,          96.43,  +3.31,  +2.21
  1,     UK002B,       0,  0.087801, 2459521.566625332460, 170.62813,  68.07840,               28.47650,  41.00661,        28.46253,       41.02257,    170.62813,     +68.07840,     170.61045,      +68.09633,  1635932.12,  3674334.75,  5073453.37,      51.777836,       -0.523587,  109302.14,  164682.60,    2347.85,             5216.76,  -240.42,  58573.12,           69656.92,    -46.80,     28.86,          68.87,  +1.98,  +0.90
  2,     UK002B,       0,  0.127893, 2459521.566625796258, 172.84222,  68.38521,               27.50149,  40.53438,        27.49805,       40.53824,    172.84222,     +68.38521,     172.83857,      +68.38963,  1636795.06,  3671822.69,  5072644.81,      51.786909,       -0.549552,  107464.45,  163476.77,    5124.33,             7993.25,  -126.14,  69252.78,           69656.92,    -11.32,      6.99,          16.78,  +1.93,  +0.86
  3,     UK002B,       0,  0.168069, 2459521.566626261454, 175.61102,  68.64700,               26.40576,  39.90460,        26.36528,       39.94925,    175.61102,     +68.64700,     175.57098,      +68.69934,  1637809.54,  3668869.49,  5071694.25,      51.797575,       -0.580080,  105304.89,  162109.56,    8388.40,            11257.32,   470.15,  81244.33,           69656.92,   -130.98,     80.69,         195.75,  +5.64,  +4.59
  0,     UK002C,       0,  0.017733, 2459521.566624634434, 135.45578,  49.89453,               62.86348,  46.89463,        62.86437,       46.89179,    135.45578,     +49.89453,     135.45901,      +49.89257,  1634600.00,  3678212.62,  5074701.55,      51.763828,       -0.483559,  112140.26,  152282.28,       0.00,              930.69,   126.15,      0.00,           65074.58,      6.93,     -3.40,          10.46,  +3.45,  +2.54
  1,     UK002C,       0,  0.057669, 2459521.566625096835, 136.07851,  50.32521,               62.02545,  46.76715,        62.02470,       46.76942,    136.07851,     +50.32521,     136.07591,      +50.32679,  1635355.50,  3676013.33,  5073993.66,      51.771773,       -0.506277,  110530.46,  150400.98,    2430.80,             3361.49,   -94.90,  60867.31,           65074.58,     -5.48,      2.69,           8.38,  +1.67,  +0.78
  2,     UK002C,       0,  0.097561, 2459521.566625558306, 136.81693,  50.87232,               60.99233,  46.63662,        61.00136,       46.61051,    136.81693,     +50.87232,     136.84804,      +50.85387,  1636256.64,  3673390.06,  5073149.30,      51.781248,       -0.533367,  108610.98,  148179.61,    5330.21,             6260.90,   155.59,  72681.46,           65074.58,     62.29,    -30.60,          96.61,  +1.28,  +0.43
  3,     UK002C,       0,  0.137505, 2459521.566626020707, 137.49091,  51.30165,               60.14369,  46.48475,        60.14866,       46.47102,    137.49091,     +51.30165,     137.50761,      +51.29182,  1636991.02,  3671252.25,  5072461.20,      51.788970,       -0.555494,  107047.24,  146385.78,    7693.05,             8623.74,  -133.95,  59153.80,           65074.58,     32.46,    -15.94,          50.95,  +1.13,  +0.30
  4,     UK002C,       0,  0.177413, 2459521.566626482643, 138.36641,  51.87770,               59.02652,  46.30041,        59.03537,       46.27722,    138.36641,     +51.87770,     138.39462,      +51.86085,  1637930.00,  3668518.80,  5071581.37,      51.798842,       -0.583767,  105048.51,  144118.36,   10714.22,            11644.91,   237.25,  75703.55,           66860.76,     54.14,    -26.60,          86.34,  +2.00,  +1.21
  5,     UK002C,       0,  0.217361, 2459521.566626945045, 138.94257,  52.23529,               58.32332,  46.17083,        58.33163,       46.14977,    138.94257,     +52.23529,     138.96847,      +52.21983,  1638511.09,  3666827.23,  5071036.90,      51.804951,       -0.601342,  103811.96,  142726.70,   12583.86,            13514.55,  -545.76,  46801.78,           64503.46,     48.81,    -23.99,          78.59,  +4.75,  +3.98
  0,     UK002W,       0,  0.019881, 2459521.566624632105, 140.24699,  40.03456,               70.86643,  38.12283,        70.84165,       38.17936,    140.24699,     +40.03456,     140.20621,      +40.08561,  1634605.01,  3678198.04,  5074696.86,      51.763881,       -0.483708,  112129.58,  178861.11,       0.00,              946.81,    -0.36,      0.00,           66927.44,   -183.80,     32.50,         215.25,  +4.37,  +3.11
  1,     UK002W,       0,  0.059885, 2459521.566625094973, 140.76896,  40.33155,               70.25293,  38.00486,        70.24638,       38.01959,    140.76896,     +40.33155,     140.75845,      +40.34492,  1635419.83,  3675826.05,  5073933.38,      51.772449,       -0.508198,  110393.40,  176726.92,    2621.68,             3568.49,   -35.04,  65535.45,           66927.44,    -47.40,      8.45,          56.19,  +2.62,  +1.38
  2,     UK002W,       0,  0.099941, 2459521.566625558771, 141.36241,  40.58696,               69.63876,  37.81959,        69.62544,       37.84893,    141.36241,     +40.58696,     141.34170,      +40.61376,  1636253.12,  3673400.31,  5073152.60,      51.781211,       -0.533262,  108618.48,  174558.53,    5302.76,             6249.57,   -13.77,  66933.31,           66927.44,    -93.48,     16.63,         112.19,  +1.99,  +0.78
  3,     UK002W,       0,  0.139969, 2459521.566626022104, 141.96682,  40.87796,               68.98615,  37.65203,        68.97926,       37.66694,    141.96682,     +40.87796,     141.95663,      +40.89166,  1637102.96,  3670926.39,  5072356.31,      51.790146,       -0.558844,  106808.93,  172362.36,    8037.09,             8983.90,    62.61,  68310.48,           66927.44,    -47.00,      8.38,          57.13,  +1.51,  +0.33
  4,     UK002W,       0,  0.180009, 2459521.566626485437, 142.59646,  41.16574,               68.32450,  37.46931,        68.32091,       37.47695,    142.59646,     +41.16574,     142.59163,      +41.17281,  1637951.35,  3668456.67,  5071561.37,      51.799066,       -0.584407,  105003.08,  170185.69,   10766.79,            11713.59,   133.56,  68174.15,           67315.30,    -23.85,      4.26,          29.36,  +2.95,  +1.80
  5,     UK002W,       0,  0.220061, 2459521.566626948770, 143.21982,  41.42164,               67.70073,  37.27161,        67.69137,       37.29112,    143.21982,     +41.42164,     143.20685,      +41.43981,  1638746.67,  3666141.43,  5070816.16,      51.807428,       -0.608404,  103310.75,  168159.52,   13325.73,            14272.54,    32.95,  63890.56,           66936.63,    -60.32,     10.76,          75.15,  +4.93,  +3.80
  0,     UK003S,       0,  0.000000, 2459521.566624401603, 140.42800,  40.14872,               70.63205,  38.08277,        70.64181,       38.06062,    140.42800,     +40.14872,     140.44375,      +40.12868,  1634331.29,  3678994.86,  5074953.33,      51.761002,       -0.475459,  112712.94,  180043.41,       0.00,               66.12,   439.11,      0.00,           63233.22,     72.54,    -12.88,          84.40,  +4.24,  +2.96
  1,     UK003S,       0,  0.040160, 2459521.566624866333, 140.95016,  40.35591,               70.10716,  37.90774,        70.10402,       37.91474,    140.95016,     +40.35591,     140.94514,      +40.36228,  1635071.76,  3676839.33,  5074259.53,      51.768789,       -0.497722,  111135.00,  178106.93,    2382.43,             2448.55,   154.82,  59323.42,           63233.22,    -22.72,      4.02,          26.72,  +2.51,  +1.26
  2,     UK003S,       0,  0.080304, 2459521.566625331063, 141.49346,  40.60099,               69.53458,  37.74555,        69.53002,       37.75554,    141.49346,     +40.60099,     141.48650,      +40.61014,  1635848.03,  3674579.56,  5073532.17,      51.776952,       -0.521073,  109481.26,  176089.19,    4880.07,             4946.19,   -13.19,  62216.99,           63233.22,    -32.16,      5.68,          38.26,  +1.83,  +0.60
  3,     UK003S,       0,  0.120452, 2459521.566625795793, 142.09896,  40.88989,               68.88402,  37.57625,        68.88579,       37.57244,    142.09896,     +40.88989,     142.10198,      +40.88638,  1636702.77,  3672091.36,  5072731.28,      51.785939,       -0.546791,  107660.97,  173883.03,    7630.18,             7696.30,    71.00,  68499.41,           63233.22,     12.14,     -2.15,          14.63,  +1.86,  +0.66
  4,     UK003S,       0,  0.160608, 2459521.566626260523, 142.69918,  41.15391,               68.26384,  37.39569,        68.26553,       37.39212,    142.69918,     +41.15391,     142.70219,      +41.15060,  1637509.53,  3669742.82,  5071975.35,      51.794421,       -0.571098,  105943.42,  171814.82,   10225.94,            10292.06,     0.30,  64641.82,           64007.72,     11.26,     -2.00,          13.73,  +2.26,  +1.08
  5,     UK003S,       0,  0.200764, 2459521.566626725253, 143.28538,  41.40296,               67.66944,  37.21525,        67.66950,       37.21512,    143.28538,     +41.40296,     143.28613,      +41.40283,  1638270.41,  3667527.86,  5071262.42,      51.802421,       -0.594051,  104324.09,  169877.25,   12674.05,            12740.17,  -218.04,  60964.98,           63794.26,      0.42,     -0.07,           0.51,  +3.44,  +2.29
  0,     UK004P,       0,  0.048670, 2459521.566624897998, 316.46347,  69.87070,              334.82411,  40.65819,       334.79704,       40.66786,    316.46347,     +69.87070,     316.52259,      +69.86066,  1635331.38,  3676083.56,  5074016.26,      51.771519,       -0.505485,  110581.86,  167685.09,       0.00,             3283.87,   425.06,      0.00,           63744.00,    -30.90,     58.78,          81.68,  +3.61,  +2.49
  1,     UK004P,       0,  0.089110, 2459521.566625365987, 315.69623,  69.22007,              334.38291,  40.04002,       334.40314,       40.03281,    315.69623,     +69.22007,     315.65292,      +69.22742,  1635968.22,  3674229.67,  5073419.55,      51.778215,       -0.524677,  109225.26,  167739.60,    2049.03,             5332.90,  -211.22,  50668.36,           63744.00,     23.24,    -44.29,          61.51,  +2.37,  +1.25
  2,     UK004P,       0,  0.129730, 2459521.566625836305, 314.58113,  68.37609,              333.88486,  39.18699,       333.89097,       39.18481,    314.58113,     +68.37609,     314.56858,      +68.37825,  1636817.80,  3671756.49,  5072623.50,      51.787148,       -0.550246,  107416.03,  167850.19,    4782.55,             8066.42,  -174.96,  67294.89,           63744.00,      7.10,    -13.53,          18.77,  +1.69,  +0.57
  3,     UK004P,       0,  0.170374, 2459521.566626306623, 313.57300,  67.45075,              333.31968,  38.28946,       333.35739,       38.27612,    313.57300,     +67.45075,     313.49585,      +67.46370,  1637727.36,  3669108.72,  5071771.25,      51.796711,       -0.577635,  105479.79,  168017.78,    7709.03,            10992.90,    52.67,  72002.94,           63744.00,     44.20,    -84.32,         116.87,  +3.42,  +2.29

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.