Orbital Analysis for matched events on 20211103_020027.583_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 108.15° Bg -2.28° Vg 65.19km/s
mass 0.00625g, abs. mag 0.8
best visual mag 1.3
Path Details
------------
start 0.72° 50.81° 113.08km
end   0.55° 50.88° 96.48km

Orbit Details
-------------
Semimajor axis 3.84A.U., eccentricity 0.86, inclination 175.10°, Period 7.51Y, LA Sun 220.57°, last Perihelion 2014-06-11

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: 2459521.583652586211
Time: 2021-11-03 02:00:27.600829 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002B
 Convergence angle = 82.56896 deg
 R.A. = 109.23574  Dec = +21.38465 deg
Intersection 2 - Stations: UK000F and UK0045
 Convergence angle = 37.66355 deg
 R.A. = 109.65842  Dec = +19.61848 deg
Intersection 3 - Stations: UK002B and UK0045
 Convergence angle = 59.78754 deg
 R.A. = 107.94934  Dec = +20.93914 deg

Best intersection: Stations UK000F and UK002B with Qconv = 82.57 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1174562.93 +/- 77.37 m
 Y =   3939225.95 +/- 331.01 m
 Z =   5007840.51 +/- 270.79 m
 Vx =   -20698.62 +/- 402.04 m/s
 Vy =    58523.67 +/- 797.94 m/s
 Vz =    22799.50 +/- 1040.61 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.302999e+03, -1.354098e+04, -7.242137e+03, -6.916053e+03, -1.479709e+04, -2.047963e+04
-1.354098e+04, +8.228464e+04, +5.212670e+04, +8.848085e+04, +3.853739e+04, +1.159020e+05
-7.242137e+03, +5.212670e+04, +3.998199e+04, +6.817738e+04, +8.345793e+03, +9.426685e+04
-6.916053e+03, +8.848085e+04, +6.817738e+04, +1.851092e+05, -3.525803e+04, +1.545640e+05
-1.479709e+04, +3.853739e+04, +8.345793e+03, -3.525803e+04, +4.663648e+05, +2.298831e+05
-2.047963e+04, +1.159020e+05, +9.426685e+04, +1.545640e+05, +2.298831e+05, +3.778903e+05

Timing offsets (from input data):
    UK000F: 0.003502 s
    UK002B: 0.000000 s
    UK0045: -0.005021 s

Reference point on the trajectory:
  Time: 2021-11-03 02:00:27.600829 UTC
  Lon     = ++0.726860 +/- 0.0022 deg
  Lat     = +50.804979 +/- 0.0010 deg
  Lat geo = +50.619670 +/- 0.0010 deg
  Ht      =  113475.20 +/- 389.72 m

  JD dynamic   = 2459521.584453528281 
  LST apparent = 73.3969454544 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 109.47764 +/- 0.5385 deg
  Dec       = +20.16740 +/- 0.7222 deg
  Azimuth   = 123.79910 +/- 0.2802 deg
  Elevation = +48.29863 +/- 0.8617 deg
  Vavg      =  66.41607 +/- 1.2759 km/s
  Vinit     =  66.13070 +/- 0.7514 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 109.70060 +/- 0.5385 deg
  Dec       = +20.11467 +/- 0.7222 deg
  Azimuth   = 123.58316 +/- 0.2802 deg
  Elevation = +48.13770 +/- 0.8617 deg
  Vavg      =  66.58224 +/- 1.2759 km/s
  Vinit     =  66.29688 +/- 0.7514 km/s
Radiant (geocentric, J2000):
  R.A.   = 109.34215 +/- 0.5442 deg
  Dec    = +19.95120 +/- 0.7283 deg
  Vg     =  65.19376 +/- 0.7623 km/s
  Vinf   =  66.13070 +/- 0.7514 km/s
  Zc     =  41.59852 +/- 0.8617 deg
  Zg     =  41.90907 +/- 0.8701 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 108.15426 +/- 0.5944 deg
  Bg     =  -2.27584 +/- 0.6625 deg
  Vh     =  39.45902 +/- 0.8056 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  90.63211 +/- 0.8832 deg
  Bh     =  -3.76163 +/- 1.1118 deg
  Vh_x   =   0.43438 +/- 0.6078 km/s
  Vh_y   = -39.37161 +/- 0.8175 km/s
  Vh_z   =   2.58874 +/- 0.7526 km/s
Orbit:
  La Sun = 220.570081 +/- -0.0000 deg
  a      =   3.835146 +/- 0.9080 AU
  e      =   0.856964 +/- 0.0368
  i      = 175.099576 +/- 1.3974 deg
  peri   =  88.201183 +/- 3.1079 deg
  node   =  40.560927 +/- 0.0070 deg
  Pi     = 128.762110 +/- 3.1060 deg
  q      =   0.548563 +/- 0.0184 AU
  f      = 271.788284 +/- 3.1098 deg
  M      = 354.521014 +/- 2.6029 deg
  Q      =   7.121729 +/- 1.8059 AU
  n      =   0.131230 +/- 0.0568 deg/day
  T      =   7.510580 +/- 2.6387 years
  Last perihelion JD = 2456820.048509 (2014-06-11 13:09:51.204143) +/- 965.0040 days
  Tj     =   0.475386 +/- 0.3860
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.255757e-03, +3.409397e-04, -3.208611e+01, -3.395248e-05, -8.873921e-02, +1.487599e-02
q   , +3.409397e-04, +2.335162e-04, -1.034804e+01, +1.582413e-05, -4.166147e-02, -3.011788e-03
Tp  , -3.208611e+01, -1.034804e+01, +8.648765e+05, +5.937905e-01, +2.461600e+03, -2.646651e+02
node, -3.395248e-05, +1.582413e-05, +5.937905e-01, +1.131586e-05, -6.822895e-04, -2.461694e-03
peri, -8.873921e-02, -4.166147e-02, +2.461600e+03, -6.822895e-04, +8.465054e+00, -1.893121e-01
i   , +1.487599e-02, -3.011788e-03, -2.646651e+02, -2.461694e-03, -1.893121e-01, +8.018906e-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: UK002B
  Avg. res. = 3.033e-06 s
  Stddev    = 1.74e-03 s

Begin point on the trajectory:
  Lon =     0.722798 +/- 0.0042 deg
  Lat =    50.806702 +/- 0.0014 deg
  Ht  = 113081.63 +/- 616.59 m
End point on the trajectory:
  Lon =     0.549199 +/- 0.0081 deg
  Lat =    50.879520 +/- 0.0038 deg
  Ht  = 96478.61 +/- 1110.86 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,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   112182.57,   102657.97,          0.015553,     50.42,     25.43,              16.98, 0.0853,    True,    True, {"ff_name": "FF_UK000F_20211103_020021_519_0793856.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   112935.37,   101063.14,          0.033140,     31.22,    101.22,              25.31, 0.1827,    True,    True, {"ff_name": "FF_UK002B_20211103_020021_792_0791296.fits"}
    UK0045,   False,    -0.162580,    51.236418,  112.00,   0.001234,  38.992466,   113081.63,    96478.61,          0.030494,     69.52,     16.30,               8.00, 0.0194,    True,    True, {"ff_name": "FF_UK0045_20211103_020018_714_0799744.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,       0,  0.011243, 2459521.583652690519, 113.26875,   3.26395,              129.48833,  30.22876,       129.50404,       30.23277,    113.26875,      +3.26395,     113.25492,       +3.26100,  1175104.87,  3937693.69,  5007243.57,      50.810639,       +0.713549,  112182.57,  217247.91,       0.00,             1731.43,    63.42,      0.00,           60690.57,    -24.07,     47.97,          50.96,  +5.70,  +4.02
  1,     UK000F,       0,  0.051395, 2459521.583653155249, 113.28429,   3.08362,              129.57199,  30.06285,       129.56559,       30.06121,    113.28429,      +3.08362,     113.29015,       +3.08482,  1175816.82,  3935680.68,  5006459.35,      50.818075,       +0.695836,  110484.68,  215069.54,    2274.66,             4006.09,  -145.15,  56651.19,           60690.57,      9.74,    -19.35,          20.78,  +3.98,  +2.32
  2,     UK000F,       0,  0.091555, 2459521.583653619979, 113.33635,   2.90862,              129.61545,  29.88421,       129.62776,       29.88735,    113.33635,      +2.90862,     113.32583,       +2.90630,  1176523.81,  3933681.73,  5005680.61,      50.825460,       +0.678230,  108798.98,  212908.45,    4533.44,             6264.87,  -382.14,  56244.46,           60690.57,    -18.55,     36.95,          40.05,  +2.91,  +1.27
  3,     UK000F,       0,  0.131755, 2459521.583654085640, 113.37840,   2.67803,              129.69928,  29.66142,       129.70677,       29.66333,    113.37840,      +2.67803,     113.37230,       +2.67662,  1177412.69,  3931168.51,  5004701.51,      50.834747,       +0.656117,  106680.08,  210196.47,    7373.33,             9104.77,   -11.29,  70644.17,           60690.57,    -11.17,     22.23,          24.41,  +2.21,  +0.60
  4,     UK000F,       0,  0.171975, 2459521.583654550835, 113.43261,   2.43043,              129.77972,  29.41781,       129.79170,       29.42087,    113.43261,      +2.43043,     113.42268,       +2.42817,  1178349.09,  3928520.91,  5003670.07,      50.844533,       +0.632806,  104448.47,  207343.80,   10365.07,            12096.50,   511.28,  74384.37,           64280.55,    -17.66,     35.15,          39.13,  +2.29,  +0.71
  5,     UK000F,       0,  0.212151, 2459521.583655016031, 113.43289,   2.21753,              129.89527,  29.23025,       129.86176,       29.22163,    113.43289,      +2.21753,     113.46363,       +2.22380,  1179100.57,  3926396.16,  5002842.31,      50.852388,       +0.614047,  102657.97,  205055.94,   12766.00,            14497.44,   425.29,  59760.39,           64659.65,     49.24,    -97.39,         109.77,  +2.72,  +1.16
  6,     UK000F,       1,  0.252331, 2459521.583655480761, 113.54634,   2.03541,              129.87982,  29.01616,       129.92946,       29.02877,    113.54634,      +2.03541,     113.50315,       +2.02594,  1179812.46,  3924383.35,  5002058.17,      50.859830,       +0.596252,  100962.16,  202890.77,   15040.44,            16771.87,   181.77,  56606.09,           63932.24,    -71.65,    143.15,         162.74,  +6.39,  +4.85
  0,     UK002B,       0,  0.000000, 2459521.583652586211, 136.45632,  27.81401,               89.51875,  36.61842,        89.54596,       36.58633,    136.45632,     +27.81401,     136.46495,      +27.77595,  1174789.25,  3938586.07,  5007591.23,      50.807343,       +0.721361,  112935.37,  186544.19,       0.00,              723.05,    74.39,      0.00,           62881.33,    120.88,     36.92,         139.75,  +5.14,  +3.79
  1,     UK002B,       0,  0.040272, 2459521.583653052337, 136.85377,  27.79903,               89.22602,  36.35684,        89.19371,       36.39455,    136.85377,     +27.79903,     136.84407,      +27.84401,  1175584.99,  3936336.18,  5006714.72,      50.815653,       +0.701588,  111037.52,  184247.91,    2542.35,             3265.40,    -0.18,  63129.36,           62881.33,   -140.78,    -43.50,         164.95,  +4.37,  +3.04
  2,     UK002B,       0,  0.080528, 2459521.583653518464, 137.26144,  27.85474,               88.86383,  36.13829,        88.82017,       36.18892,    137.26144,     +27.85474,     137.24874,      +27.91535,  1176411.87,  3933998.23,  5005803.91,      50.824291,       +0.681029,  109065.86,  181869.28,    5184.18,             5907.23,    44.85,  65625.87,           62881.33,   -187.08,    -57.92,         222.11,  +2.48,  +1.18
  3,     UK002B,       0,  0.120716, 2459521.583653983194, 137.62008,  27.98252,               88.47667,  36.00111,        88.47844,       35.99905,    137.62008,     +27.98252,     137.62112,      +27.98006,  1177153.58,  3931901.12,  5004986.92,      50.832040,       +0.662554,  107297.69,  179741.13,    7553.88,             8276.93,  -160.47,  58965.37,           62881.33,      7.52,      2.31,           9.02,  +1.69,  +0.42
  4,     UK002B,       0,  0.160988, 2459521.583654449321, 138.06694,  28.05238,               88.07476,  35.76772,        88.07230,       35.77056,    138.06694,     +28.05238,     138.06689,      +28.05579,  1178017.36,  3929458.83,  5004035.46,      50.841066,       +0.641044,  105238.95,  177272.21,   10313.62,            11036.67,     3.24,  68527.45,           63711.79,    -10.26,     -3.15,          12.49,  +1.37,  +0.13
  5,     UK002B,       0,  0.201276, 2459521.583654915914, 138.54758,  28.13490,               87.63768,  35.52189,        87.63707,       35.52258,    138.54758,     +28.13490,     138.54825,      +28.13574,  1178922.44,  3926899.81,  5003038.52,      50.850526,       +0.618491,  103082.36,  174695.28,   13205.28,            13928.33,   299.96,  71774.66,           65102.27,     -2.50,     -0.77,           3.09,  +1.34,  +0.13
  6,     UK002B,       0,  0.241544, 2459521.583655382041, 139.00845,  28.22705,               87.20879,  35.29532,        87.22021,       35.28231,    139.00845,     +28.22705,     139.01265,      +28.21130,  1179770.07,  3924503.20,  5002104.86,      50.859387,       +0.597338,  101063.14,  172290.56,   15913.40,            16636.45,   416.05,  67252.44,           65829.11,     46.01,     14.08,          57.60,  +2.44,  +1.26
  0,     UK0045,       0,  0.014819, 2459521.583652787376, 102.90950,  24.58058,              127.34314,  54.62957,       127.23591,       54.65471,    102.90950,     +24.58058,     102.95152,      +24.63561,  1174727.93,  3938759.45,  5007658.77,      50.806702,       +0.722798,  113081.63,  137896.07,       0.00,              527.14,  -203.38,      0.00,           73575.09,    -37.10,   -156.80,         241.01,  +4.52,  +3.82
  1,     UK0045,       0,  0.054663, 2459521.583653248381, 102.76026,  24.71229,              127.41485,  54.81405,       127.35722,       54.82740,    102.76026,     +24.71229,     102.78304,      +24.74165,  1175753.45,  3935859.87,  5006529.16,      50.817413,       +0.697365,  110635.80,  134643.02,    3276.47,             3803.61,   178.82,  82232.49,           73575.09,    -19.03,    -81.91,         128.83,  +2.49,  +1.84
  2,     UK0045,       0,  0.094523, 2459521.583653709851, 102.60235,  24.81242,              127.52828,  54.97632,       127.47231,       54.98929,    102.60235,     +24.81242,     102.62455,      +24.84085,  1176670.55,  3933266.83,  5005518.97,      50.826993,       +0.674576,  108449.14,  131734.55,    6206.57,             6733.71,   241.72,  73509.71,           73575.09,    -18.02,    -77.56,         124.68,  +2.27,  +1.67
  3,     UK0045,       0,  0.134391, 2459521.583654171322, 102.46032,  24.91051,              127.62295,  55.12892,       127.57991,       55.13887,    102.46032,     +24.91051,     102.47761,      +24.93231,  1177481.81,  3930973.08,  5004625.38,      50.835469,       +0.654379,  106515.34,  129162.23,    8798.46,             9325.60,    11.95,  65011.78,           73575.09,    -13.49,    -58.29,          95.55,  +2.15,  +1.59
  4,     UK0045,       0,  0.174231, 2459521.583654632326, 102.29798,  25.03705,              127.71771,  55.31533,       127.70894,       55.31734,    102.29798,     +25.03705,     102.30211,      +25.04146,  1178412.53,  3928341.53,  5003600.18,      50.845196,       +0.631208,  104297.29,  126213.17,   11772.07,            12299.21,   145.92,  74638.88,           72929.11,     -2.64,    -11.55,          19.37,  +1.94,  +1.43
  5,     UK0045,       0,  0.214087, 2459521.583655093331, 102.14367,  25.14187,              127.82292,  55.47948,       127.82703,       55.47854,    102.14367,     +25.14187,     102.14299,      +25.13981,  1179215.58,  3926070.99,  5002715.63,      50.853590,       +0.611172,  102384.00,  123669.15,   14337.74,            14864.88,   -89.47,  64373.43,           71522.25,      1.21,      5.29,           9.04,  +2.07,  +1.61
  6,     UK0045,       0,  0.253923, 2459521.583655554801, 101.95170,  25.25477,              127.97129,  55.66891,       127.96794,       55.66969,    101.95170,     +25.25477,     101.95406,      +25.25645,  1180129.92,  3923485.75,  5001708.48,      50.863149,       +0.588360,  100206.06,  120774.68,   17259.01,            17786.15,     6.38,  73332.54,           71213.66,     -0.96,     -4.19,           7.35,  +2.08,  +1.67
  7,     UK0045,       0,  0.293763, 2459521.583656015806, 101.78105,  25.37873,              128.08086,  55.85696,       128.10383,       55.85170,    101.78105,     +25.37873,     101.77350,      +25.36728,  1180960.85,  3921136.35,  5000793.21,      50.871838,       +0.567592,   98227.30,  118145.22,   19913.79,            20440.92,  -124.60,  66635.88,           70703.71,      6.36,     28.00,          50.13,  +3.13,  +2.77
  8,     UK0045,       0,  0.333623, 2459521.583656476811, 101.59117,  25.45152,              128.26676,  56.01145,       128.23097,       56.01977,    101.59117,     +25.45152,     101.60614,      +25.46939,  1181695.33,  3919059.69,  4999984.19,      50.879520,       +0.549199,   96478.61,  115821.60,   22260.39,            22787.52,  -550.01,  58871.01,           69676.67,     -9.88,    -42.66,          77.98,  +4.27,  +3.95

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.