Orbital Analysis for matched events on 20211103_195611.633_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 175.10° Bg 88.15° Vg 27.20km/s
mass 0.11723g, abs. mag -0.6
best visual mag 1.4
Path Details
------------
start 2.20° 51.00° 97.90km
end   2.26° 50.96° 89.26km

Orbit Details
-------------
Semimajor axis 4.79A.U., eccentricity 0.79, inclination 42.75°, Period 10.48Y, LA Sun 221.32°, last Perihelion 2021-11-03

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: 2459522.330690205563
Time: 2021-11-03 19:56:11.633761 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK0034
 Convergence angle = 56.56655 deg
 R.A. = 269.14504  Dec = +67.74254 deg

Best intersection: Stations UK002C and UK0034 with Qconv = 56.57 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3935567.00 +/- 92.83 m
 Y =  -1088266.30 +/- 55.09 m
 Z =   5009961.78 +/- 42.88 m
 Vx =     -165.95 +/- 546.04 m/s
 Vy =   -11442.41 +/- 131.59 m/s
 Vz =    27056.48 +/- 174.89 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.757659e+03, +7.531789e+02, -1.662531e+03, +4.585191e+04, +1.903194e+03, -7.144463e+03
+7.531789e+02, +3.205079e+03, -6.434880e+02, -7.011322e+03, +7.934402e+03, +4.033038e+03
-1.662531e+03, -6.434880e+02, +2.088197e+03, -6.960485e+03, +1.242088e+03, +1.701449e+03
+4.585191e+04, -7.011322e+03, -6.960485e+03, +3.299165e+05, -7.433982e+02, -6.022460e+04
+1.903194e+03, +7.934402e+03, +1.242088e+03, -7.433982e+02, +3.285541e+04, +1.085745e+04
-7.144463e+03, +4.033038e+03, +1.701449e+03, -6.022460e+04, +1.085745e+04, +1.468533e+04

Timing offsets (from input data):
    UK002C: -0.000411 s
    UK0034: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 19:56:11.633761 UTC
  Lon     = ++2.202909 +/- 0.0009 deg
  Lat     = +51.004487 +/- 0.0007 deg
  Lat geo = +50.818997 +/- 0.0007 deg
  Ht      =   97875.61 +/- 56.36 m

  JD dynamic   = 2459522.331490946468 
  LST apparent = 344.5427689043 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 269.16909 +/- 2.7792 deg
  Dec       = +67.07393 +/- 0.3509 deg
  Azimuth   = 323.15993 +/- 0.7217 deg
  Elevation = +51.05050 +/- 1.0245 deg
  Vavg      =  27.14375 +/- 0.1086 km/s
  Vinit     =  29.37702 +/- 0.1146 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 269.55525 +/- 2.7792 deg
  Dec       = +67.59297 +/- 0.3509 deg
  Azimuth   = 323.90643 +/- 0.7217 deg
  Elevation = +51.31996 +/- 1.0245 deg
  Vavg      =  27.03282 +/- 0.1086 km/s
  Vinit     =  29.26609 +/- 0.1146 km/s
Radiant (geocentric, J2000):
  R.A.   = 265.33421 +/- 2.7985 deg
  Dec    = +66.65157 +/- 0.3667 deg
  Vg     =  27.19684 +/- 0.1236 km/s
  Vinf   =  29.37702 +/- 0.1146 km/s
  Zc     =  39.09808 +/- 1.0254 deg
  Zg     =  40.66603 +/- 1.0563 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 175.10165 +/- 5.7514 deg
  Bg     = +88.14579 +/- 1.1002 deg
  Vh     =  40.04232 +/- 0.2387 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 310.97941 +/- 0.7904 deg
  Bh     = +42.75355 +/- 0.4818 deg
  Vh_x   = -19.28167 +/- 0.5322 km/s
  Vh_y   =  22.19712 +/- 0.1819 km/s
  Vh_z   = -27.18258 +/- 0.0895 km/s
Orbit:
  La Sun = 221.318510 +/- -0.0000 deg
  a      =   4.787719 +/- 0.3485 AU
  e      =   0.792821 +/- 0.0210
  i      =  42.754050 +/- 0.4908 deg
  peri   = 179.438130 +/- 1.3433 deg
  node   = 221.317659 +/- 0.0000 deg
  Pi     =  40.755790 +/- 1.3433 deg
  q      =   0.991915 +/- 0.0005 AU
  f      =   0.562055 +/- 1.3433 deg
  M      =   0.039585 +/- 0.1511 deg
  Q      =   8.583524 +/- 0.6966 AU
  n      =   0.094083 +/- 0.0157 deg/day
  T      =  10.475956 +/- 1.0565 years
  Last perihelion JD = 2459521.910741 (2021-11-03 09:51:28.027346) +/- 1.0240 days
  Tj     =   1.945452 +/- 0.0991
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.656124e-04, +6.961636e-06, +1.693938e-02, -4.931404e-08, +2.206887e-02, -1.056848e-02
q   , +6.961636e-06, +2.060618e-07, +4.652768e-04, -9.009643e-10, +6.099867e-04, -1.935046e-04
Tp  , +1.693938e-02, +4.652768e-04, +1.131725e+00, -2.205483e-06, +1.485821e+00, -4.718504e-01
node, -4.931404e-08, -9.009643e-10, -2.205483e-06, +5.569246e-12, -2.882981e-06, +1.192753e-06
peri, +2.206887e-02, +6.099867e-04, +1.485821e+00, -2.882981e-06, +1.950916e+00, -6.167173e-01
i   , -1.056848e-02, -1.935046e-04, -4.718504e-01, +1.192753e-06, -6.167173e-01, +2.555419e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 4.198451
 a2 = 11.946727

Mean time residuals from time vs. length:
  Station with reference time: UK0034
  Avg. res. = 2.766e-05 s
  Stddev    = 5.26e-03 s

Begin point on the trajectory:
  Lon =     2.202717 +/- 0.0008 deg
  Lat =    51.004649 +/- 0.0007 deg
  Ht  = 97903.88 +/- 39.85 m
End point on the trajectory:
  Lon =     2.259853 +/- 0.0009 deg
  Lat =    50.955052 +/- 0.0012 deg
  Ht  = 89260.72 +/- 57.17 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
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.124238,  24.490590,    97330.27,    90681.29,          0.027311,    138.27,     39.60,              99.24, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20211103_195605_850_0244992.fits"}
    UK0034,   False,     1.010397,    52.949859,   25.00,   2.008511,  13.425862,    97903.88,    89260.72,          0.013870,     60.20,     13.61,             105.32, 1.0000,    True,    True, {"ff_name": "FF_UK0034_20211103_195605_606_0268544.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,     UK002C,       0,  0.020488, 2459522.330690453295,  54.63364,   9.77404,               96.31515,  17.53220,        96.35639,       17.55147,     54.63364,      +9.77404,      54.59042,       +9.76424,  3935570.96, -1087993.17,  5009315.93,      51.001363,       +2.206529,   97330.27,  301222.43,       0.00,              701.24,   364.31,      0.00,           28274.94,    -63.36,    221.30,         157.63,  +6.31,  +3.92
  1,     UK002C,       0,  0.060564, 2459522.330690917093,  54.61170,   9.64527,               96.41777,  17.44579,        96.41266,       17.44340,     54.61170,      +9.64527,      54.61733,       +9.64649,  3935574.60, -1087741.70,  5008721.31,      50.998487,       +2.209776,   96828.20,  301315.26,     645.61,             1346.85,  -167.39,  16109.73,           28274.94,      7.87,    -27.49,          19.57,  +3.55,  +1.15
  2,     UK002C,       0,  0.100792, 2459522.330691382755,  54.71977,   9.39109,               96.49854,  17.18116,        96.53827,       17.19972,     54.71977,      +9.39109,      54.67846,       +9.38164,  3935582.80, -1087176.44,  5007384.71,      50.992019,       +2.217284,   95699.72,  301542.59,    2096.85,             2798.09,   102.07,  36075.36,           28274.94,    -61.20,    213.75,         152.08,  +4.55,  +2.15
  3,     UK002C,       0,  0.140964, 2459522.330691847950,  54.75559,   9.16832,               96.61630,  16.98571,        96.64220,       16.99780,     54.75559,      +9.16832,      54.72896,       +9.16216,  3935589.61, -1086707.25,  5006275.26,      50.986649,       +2.223488,   94763.10,  301734.53,    3301.45,             4002.69,   126.54,  29986.02,           28274.94,    -39.97,    139.59,          99.25,  +4.14,  +1.74
  4,     UK002C,       0,  0.181092, 2459522.330692312215,  54.75215,   8.98243,               96.74110,  16.84320,        96.72551,       16.83592,     54.75215,      +8.98243,      54.76930,       +8.98614,  3935595.07, -1086330.39,  5005384.16,      50.982334,       +2.228439,   94010.85,  301889.90,    4268.98,             4970.22,   -84.78,  24111.07,           27874.00,     24.09,    -84.12,          59.78,  +1.81,  -0.59
  5,     UK002C,       0,  0.221276, 2459522.330692777410,  54.80186,   8.75154,               96.85251,  16.63263,        96.83406,       16.62403,     54.80186,      +8.75154,      54.82217,       +8.75593,  3935602.23, -1085837.16,  5004217.88,      50.976684,       +2.234970,   93026.40,  302101.16,    5535.29,             6236.53,     1.04,  31512.68,           28279.52,     28.54,    -99.64,          70.77,  +1.82,  -0.58
  6,     UK002C,       0,  0.261456, 2459522.330693242606,  54.88140,   8.54300,               96.92504,  16.42088,        96.93545,       16.42574,     54.88140,      +8.54300,      54.87155,       +8.54053,  3935608.93, -1085374.98,  5003125.01,      50.971389,       +2.241080,   92103.98,  302303.08,    6721.89,             7423.14,     7.28,  29532.31,           28558.62,    -16.14,     56.35,          40.00,  +2.74,  +0.34
  7,     UK002C,       0,  0.301572, 2459522.330693706870,  54.88030,   8.37211,               97.03755,  16.28839,        97.01185,       16.27642,     54.88030,      +8.37211,      54.90858,       +8.37823,  3935613.99, -1085026.18,  5002300.26,      50.967391,       +2.245650,   91407.88,  302455.70,    7617.38,             8318.62,  -275.72,  22322.46,           28155.88,     39.86,   -139.16,          98.72,  +3.21,  +0.81
  8,     UK002C,       0,  0.341708, 2459522.330694171134,  54.92001,   8.20314,               97.11585,  16.13206,        97.09136,       16.12065,     54.92001,      +8.20314,      54.94719,       +8.20897,  3935619.27, -1084662.09,  5001439.34,      50.963217,       +2.250429,   90681.29,  302618.22,    8552.14,             9253.38,  -520.04,  23289.79,           27643.73,     38.03,   -132.77,          94.14,  +5.96,  +3.56
  0,     UK0034,       0,  0.000000, 2459522.330690205563,   3.51438, -13.08912,              158.81225,  21.72462,       158.79639,       21.72739,      3.51438,     -13.08912,       3.52848,      -13.08312,  3935566.79, -1088280.46,  5009995.26,      51.004649,       +2.202717,   97903.88,  252884.82,       0.00,               36.35,   301.29,      0.00,           27313.09,     14.59,    -64.53,          53.97,  +3.24,  +1.23
  1,     UK0034,       0,  0.040156, 2459522.330690670293,   3.62150, -13.27633,              158.74801,  21.51880,       158.75662,       21.51730,      3.62150,     -13.27633,       3.61400,      -13.27959,  3935572.29, -1087901.15,  5009098.34,      51.000311,       +2.207700,   97146.54,  253113.90,     973.84,              937.49,    22.76,  24251.42,           27313.09,     -7.94,     35.09,          29.32,  +2.31,  +0.29
  2,     UK0034,       0,  0.080356, 2459522.330691135488,   3.71962, -13.51084,              158.70472,  21.26883,       158.70909,       21.26807,      3.71962,     -13.51084,       3.71605,      -13.51250,  3935578.83, -1087450.42,  5008032.57,      50.995155,       +2.213653,   96246.68,  253391.37,    2131.02,             2094.67,    -1.01,  28785.61,           27313.09,     -4.04,     17.87,          14.91,  +2.40,  +0.38
  3,     UK0034,       0,  0.120548, 2459522.330691600684,   3.82773, -13.73686,              158.64960,  21.02495,       158.66249,       21.02270,      3.82773,     -13.73686,       3.81668,      -13.74177,  3935585.28, -1087005.71,  5006981.01,      50.990065,       +2.219524,   95358.89,  253669.92,    3272.77,             3236.42,   -39.98,  28407.43,           27313.09,    -11.97,     52.90,          44.10,  +2.45,  +0.43
  4,     UK0034,       0,  0.160780, 2459522.330692066345,   3.93073, -14.01307,              158.61219,  20.73328,       158.60742,       20.73411,      3.93073,     -14.01307,       3.93569,      -14.01125,  3935592.88, -1086481.55,  5005741.59,      50.984065,       +2.226475,   94312.59,  254005.07,    4618.49,             4582.14,   123.84,  33449.03,           28700.25,      4.44,    -19.63,          16.34,  +1.71,  -0.31
  5,     UK0034,       0,  0.200940, 2459522.330692531075,   4.02116, -14.20309,              158.56697,  20.52833,       158.56896,       20.52798,      4.02116,     -14.20309,       4.02021,      -14.20384,  3935598.33, -1086106.14,  5004853.89,      50.979766,       +2.231406,   93563.24,  254248.09,    5582.32,             5545.97,   -92.11,  23999.74,           28425.35,     -1.85,      8.17,           6.80,  +1.41,  -0.62
  6,     UK0034,       0,  0.241140, 2459522.330692996737,   4.14065, -14.43820,              158.50376,  20.27303,       158.52033,       20.27014,      4.14065,     -14.43820,       4.12672,      -14.44456,  3935605.15, -1085635.71,  5003741.53,      50.974376,       +2.237627,   92624.32,  254558.36,    6790.09,             6753.74,   -65.30,  30044.06,           28500.62,    -15.50,     68.51,          56.91,  +1.98,  -0.05
  7,     UK0034,       0,  0.281328, 2459522.330693461467,   4.20818, -14.65791,              158.48937,  20.04420,       158.47854,       20.04610,      4.20818,     -14.65791,       4.21915,      -14.65375,  3935611.09, -1085225.93,  5002772.59,      50.969681,       +2.243025,   91806.52,  254832.45,    7842.13,             7805.78,  -193.86,  26177.95,           28338.45,     10.15,    -44.89,          37.25,  +1.84,  -0.19
  8,     UK0034,       0,  0.321528, 2459522.330693927128,   4.33447, -14.89863,              158.42153,  19.78193,       158.42872,       19.78067,      4.33447,     -14.89863,       4.32930,      -14.90140,  3935618.15, -1084739.48,  5001622.32,      50.964104,       +2.249465,   90835.75,  255163.77,    9091.06,             9054.71,  -125.89,  31067.81,           28444.76,     -6.76,     29.88,          24.76,  +2.94,  +0.91
  9,     UK0034,       0,  0.361716, 2459522.330694391858,   4.42159, -15.11985,              158.38850,  19.54731,       158.38545,       19.54784,      4.42159,     -15.11985,       4.42586,      -15.11867,  3935624.35, -1084311.63,  5000610.65,      50.959198,       +2.255110,   89982.01,  255459.34,   10189.49,            10153.14,  -208.06,  27332.39,           28438.21,      2.87,    -12.69,          10.51,  +3.77,  +1.73
 10,     UK0034,       0,  0.401884, 2459522.330694857053,   4.47222, -15.31595,              158.38590,  19.34522,       158.34949,       19.35159,      4.47222,     -15.31595,       4.50704,      -15.30184,  3935629.59, -1083950.16,  4999755.91,      50.955052,       +2.259853,   89260.72,  255711.82,   11117.54,            11081.19,  -460.03,  23104.10,           28192.35,     34.37,   -152.10,         125.79,  +4.40,  +2.36

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.