Orbital Analysis for matched events on 20211103_020426.916_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 107.09° Bg -12.48° Vg 75.73km/s
mass 0.06112g, abs. mag -2.1
best visual mag 0.5
Path Details
------------
start 0.35° 48.37° 110.60km
end   0.20° 48.46° 96.94km

Orbit Details
-------------
Semimajor axis -1.11A.U., eccentricity 1.64, inclination 156.59°, Period nanY, LA Sun 220.57°, 

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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459521.586422639899
Time: 2021-11-03 02:04:26.916087 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK002N
 Convergence angle = 16.06006 deg
 R.A. = 107.55183  Dec = +10.67751 deg
Intersection 2 - Stations: UK002D and UK0038
 Convergence angle = 7.38348 deg
 R.A. = 110.12978  Dec = +18.97918 deg
Intersection 3 - Stations: UK002N and UK0038
 Convergence angle = 23.38501 deg
 R.A. = 109.09183  Dec = +13.03327 deg

Best intersection: Stations UK002N and UK0038 with Qconv = 23.39 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1189237.49 +/- 158.39 m
 Y =   4151475.19 +/- 635.68 m
 Z =   4827102.97 +/- 228.28 m
 Vx =   -22163.50 +/- 21.99 m/s
 Vy =    72006.08 +/- 2845.92 m/s
 Vz =    13494.63 +/- 2012.35 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK002D: -0.161462 s
    UK002N: 0.000085 s
    UK0038: -2.015387 s

Reference point on the trajectory:
  Time: 2021-11-03 02:04:26.916087 UTC
  Lon     = ++0.345073 +/- 0.0040 deg
  Lat     = +48.371255 +/- 0.0046 deg
  Lat geo = +48.183353 +/- 0.0046 deg
  Ht      =  110598.62 +/- 347.68 m

  JD dynamic   = 2459521.587223380804 
  LST apparent = 74.0150349497 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 107.10838 +/- 0.6559 deg
  Dec       = +10.15494 +/- 1.2130 deg
  Azimuth   = 132.89135 +/- 1.5974 deg
  Elevation = +42.81297 +/- 0.7387 deg
  Vavg      =  71.71045 +/- 2.2809 km/s
  Vinit     =  76.53889 +/- 2.4198 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 107.30856 +/- 0.6559 deg
  Dec       = +10.13224 +/- 1.2130 deg
  Azimuth   = 132.67353 +/- 1.5974 deg
  Elevation = +42.69565 +/- 0.7387 deg
  Vavg      =  71.88015 +/- 2.2809 km/s
  Vinit     =  76.70859 +/- 2.4198 km/s
Radiant (geocentric, J2000):
  R.A.   = 106.94191 +/- 0.6655 deg
  Dec    =  +9.96086 +/- 1.2048 deg
  Vg     =  75.73058 +/- 2.4483 km/s
  Vinf   =  76.53889 +/- 2.4198 km/s
  Zc     =  47.05929 +/- 0.7350 deg
  Zg     =  47.32416 +/- 0.7213 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 107.09470 +/- 0.5202 deg
  Bg     = -12.47715 +/- 1.2712 deg
  Vh     =  50.88663 +/- 2.6723 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  92.22636 +/- 0.3845 deg
  Bh     = -18.75536 +/- 1.6145 deg
  Vh_x   =   1.87185 +/- 0.3060 km/s
  Vh_y   = -48.14818 +/- 2.1854 km/s
  Vh_z   =  16.36147 +/- 2.0260 km/s
Orbit:
  La Sun = 220.572855 +/- -0.0000 deg
  a      =  -1.107361 +/- 5.9313 AU
  e      =   1.642884 +/- 0.2037
  i      = 156.589609 +/- 1.9594 deg
  peri   =  56.929811 +/- 5.3192 deg
  node   =  40.571926 +/- 0.0003 deg
  Pi     =  97.501736 +/- 5.3189 deg
  q      =   0.711905 +/- 0.0256 AU
  f      = 303.067682 +/- 5.3194 deg
  M      =        nan +/- nan deg
  Q      =  -2.926626 +/- 11.8744 AU
  n      =   0.845806 +/- 0.2877 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -5.803255 +/- 1.5249
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +nan, +nan, +nan, +nan, +nan, +nan
q   , +nan, +nan, +nan, +nan, +nan, +nan
Tp  , +nan, +nan, +nan, +nan, +nan, +nan
node, +nan, +nan, +nan, +nan, +nan, +nan
peri, +nan, +nan, +nan, +nan, +nan, +nan
i   , +nan, +nan, +nan, +nan, +nan, +nan

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.028484
 a2 = 36.971124

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 4.902e-06 s
  Stddev    = 2.21e-03 s

Begin point on the trajectory:
  Lon =     0.345073 +/- 0.0026 deg
  Lat =    48.371255 +/- 0.0047 deg
  Ht  = 110598.62 +/- 228.51 m
End point on the trajectory:
  Lon =     0.199888 +/- 0.0019 deg
  Lat =    48.460141 +/- 0.0040 deg
  Ht  = 96942.43 +/- 192.43 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
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000320,  61.526842,   107018.24,    99254.22,          0.020870,     82.69,    109.18,              34.58, 0.3221,    True,    True, {"ff_name": "FF_UK002D_20211103_020417_242_0787456.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.051379,  38.075630,   109977.16,    98140.49,          0.006547,     13.97,     36.89,              40.13, 0.4154,    True,    True, {"ff_name": "FF_UK002N_20211103_020419_850_0801024.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   110598.62,    96942.43,          0.026837,    134.57,    127.76,              32.48, 0.2883,    True,    True, {"ff_name": "FF_UK0038_20211103_020420_644_0792832.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,     UK002D,       0,  0.073671, 2459521.586423509289,  98.27641, -20.30555,              154.45501,  14.68915,       154.44424,       14.68228,     98.27641,     -20.30555,      98.28937,      -20.30914,  1190763.50,  4146517.37,  4826173.82,      48.394520,       +0.307143,  107018.24,  380470.38,       0.00,             5269.91,   276.67,      0.00,           74253.38,     66.09,    -49.94,          44.91,  +2.11,  -0.79
  1,     UK002D,       0,  0.113859, 2459521.586423974484,  98.25107, -20.53190,              154.54562,  14.47913,       154.57276,       14.49641,     98.25107,     -20.53190,      98.21928,      -20.52288,  1191574.53,  4143882.47,  4825680.02,      48.406890,       +0.286952,  105116.31,  378084.81,    2800.77,             8070.68,     1.50,  69691.75,           74253.38,   -165.42,    125.35,         113.23,  +1.24,  -1.65
  2,     UK002D,       0,  0.154051, 2459521.586424439680,  98.12399, -20.76724,              154.73271,  14.28761,       154.72147,       14.28044,     98.12399,     -20.76724,      98.13790,      -20.77100,  1192503.68,  4140863.80,  4825114.29,      48.421066,       +0.263819,  102938.16,  375359.67,    6009.47,            11279.39,   133.95,  79834.32,           74253.38,     68.16,    -51.49,          46.94,  +0.73,  -2.14
  3,     UK002D,       0,  0.194247, 2459521.586424904875,  98.09311, -21.00437,              154.83089,  14.06851,       154.85621,       14.08462,     98.09311,     -21.00437,      98.06371,      -20.99591,  1193334.44,  4138164.77,  4824608.47,      48.433745,       +0.243094,  100991.35,  372929.19,    8878.40,            14148.32,   -73.68,  71373.53,           74253.38,   -152.40,    115.45,         105.75,  +1.35,  -1.51
  4,     UK002D,       0,  0.234403, 2459521.586425369605,  97.99543, -21.19917,              154.97794,  13.90761,       154.97797,       13.90763,     97.99543,     -21.19917,      97.99629,      -21.19916,  1194075.96,  4135755.65,  4824156.97,      48.445065,       +0.224558,   99254.22,  370764.64,   11439.18,            16709.09,  -586.40,  63770.60,           72056.72,     -0.18,      0.14,           0.13,  +2.22,  -0.63
  0,     UK002N,       0,  0.022341, 2459521.586422897410,  87.13467, -20.89017,              166.15826,  16.77587,       166.15826,       16.77587,     87.13467,     -20.89017,      87.13467,      -20.89017,  1189502.29,  4150614.87,  4826941.73,      48.375291,       +0.338458,  109977.16,  350698.35,       0.00,              914.48,  -150.04,      0.00,           79160.23,     -0.01,      0.00,           0.00,  +2.79,  +0.07
  1,     UK002N,       0,  0.062493, 2459521.586423362140,  86.93297, -21.14055,              166.39386,  16.55862,       166.38387,       16.54958,     86.93297,     -21.14055,      86.94481,      -21.14797,  1190419.21,  4147635.95,  4826383.45,      48.389270,       +0.315689,  107825.84,  348163.12,    3166.45,             4080.93,   -56.79,  78861.50,           79160.23,     74.85,    -28.33,          47.42,  +2.27,  -0.44
  2,     UK002N,       0,  0.102669, 2459521.586423827335,  86.73851, -21.41594,              166.62543,  16.31502,       166.62090,       16.31092,     86.73851,     -21.41594,      86.74415,      -21.41931,  1191370.94,  4144543.89,  4825803.97,      48.403784,       +0.292034,  105593.68,  345542.84,    6453.15,             7367.63,   154.89,  81807.60,           79160.23,     33.73,    -12.78,          21.53,  +0.63,  -2.06
  3,     UK002N,       0,  0.142833, 2459521.586424292065,  86.55528, -21.67545,              166.84250,  16.08493,       166.84368,       16.08599,     86.55528,     -21.67545,      86.55441,      -21.67457,  1192254.01,  4141674.93,  4825266.30,      48.417256,       +0.270046,  103523.35,  343121.80,    9502.72,            10417.19,   130.35,  75927.86,           79160.23,     -8.71,      3.30,           5.60,  +0.46,  -2.22
  4,     UK002N,       0,  0.182993, 2459521.586424756795,  86.37397, -21.92817,              167.05557,  15.86078,       167.06114,       15.86580,     86.37397,     -21.92817,      86.36812,      -21.92401,  1193105.78,  4138907.65,  4824747.69,      48.430255,       +0.248808,  101527.12,  340796.14,   12444.20,            13358.68,    -1.97,  73244.06,           77742.18,    -40.87,     15.49,          26.45,  +0.55,  -2.11
  5,     UK002N,       0,  0.223137, 2459521.586425221525,  86.18851, -22.16227,              167.26865,  15.65510,       167.26868,       15.65513,     86.18851,     -22.16227,      86.18931,      -22.16225,  1193909.28,  4136297.20,  4824258.46,      48.442520,       +0.228742,   99644.66,  338611.02,   15218.98,            16133.45,  -299.77,  69120.64,           76106.02,     -0.20,      0.08,           0.13,  +1.03,  -1.62
  6,     UK002N,       0,  0.263253, 2459521.586425685789,  86.03765, -22.35146,              167.44106,  15.48867,       167.43662,       15.48466,     86.03765,     -22.35146,      86.04387,      -22.35479,  1194551.49,  4134210.73,  4823867.44,      48.452327,       +0.212655,   98140.49,  336870.33,   17436.79,            18351.27, -1152.39,  55285.03,           73293.50,     32.25,    -12.21,          21.11,  +3.56,  +0.92
  0,     UK0038,       0,  0.000000, 2459521.586422639899, 103.79923, -19.02145,              148.41180,  14.07783,       148.45690,       14.10002,    103.79923,     -19.02145,     103.74761,      -19.01576,  1189237.49,  4151475.19,  4827102.97,      48.371255,       +0.345073,  110598.62,  404546.33,       0.00,                0.00,   645.43,      0.00,           69659.79,   -237.98,    251.60,         176.57,  +4.24,  +1.21
  1,     UK0038,       0,  0.040140, 2459521.586423104629, 103.71974, -19.22589,              148.55722,  13.91193,       148.55725,       13.91194,    103.71974,     -19.22589,     103.71978,      -19.22589,  1190112.93,  4148630.98,  4826569.93,      48.384600,       +0.323334,  108544.35,  401908.16,    3023.26,             3023.26,   596.42,  75317.77,           69659.79,     -0.18,      0.19,           0.14,  +3.57,  +0.55
  2,     UK0038,       0,  0.080264, 2459521.586423568893, 103.69505, -19.39614,              148.64019,  13.76015,       148.63882,       13.75947,    103.69505,     -19.39614,     103.69687,      -19.39632,  1190814.45,  4146351.87,  4826142.81,      48.395297,       +0.305864,  106898.75,  399796.99,    5445.84,             5445.84,   -52.04,  60377.42,           69659.79,      7.21,     -7.59,           5.40,  +2.26,  -0.75
  3,     UK0038,       0,  0.120416, 2459521.586424033623, 103.65323, -19.61295,              148.75507,  13.57014,       148.74271,       13.56404,    103.65323,     -19.61295,     103.66785,      -19.61455,  1191702.39,  4143467.05,  4825602.16,      48.408840,       +0.283772,  104816.51,  397131.52,    8512.25,             8512.25,   -58.82,  76370.17,           69659.79,     64.33,    -67.69,          48.50,  +1.27,  -1.72
  4,     UK0038,       0,  0.160572, 2459521.586424498353, 103.64025, -19.82083,              148.84033,  13.37913,       148.84083,       13.37938,    103.64025,     -19.82083,     103.64025,      -19.82076,  1192530.54,  4140776.52,  4825097.93,      48.421476,       +0.263134,  102875.18,  394650.51,   11372.16,            11372.16,  -272.41,  71219.82,           70333.86,     -2.59,      2.72,           1.96,  +1.16,  -1.82
  5,     UK0038,       0,  0.200744, 2459521.586424963083, 103.56835, -20.07128,              148.99380,  13.16704,       148.96150,       13.15107,    103.56835,     -20.07128,     103.60639,      -20.07551,  1193539.74,  4137497.76,  4824483.46,      48.436879,       +0.237989,  100510.35,  391635.47,   14857.32,            14857.32,   138.03,  86755.99,           72874.27,    166.28,   -174.67,         127.01,  +1.29,  -1.67
  6,     UK0038,       0,  0.240952, 2459521.586425428744, 103.52167, -20.35728,              149.13647,  12.91327,       149.09700,       12.89375,    103.52167,     -20.35728,     103.56827,      -20.36248,  1194658.48,  4133863.14,  4823802.30,      48.453960,       +0.210095,   97890.02,  388303.17,   18720.73,            18720.73,   923.97,  96085.64,           76272.28,    201.67,   -211.72,         155.32,  +1.99,  -0.96
  7,     UK0038,       0,  0.281044, 2459521.586425892543, 103.56082, -20.46867,              149.14015,  12.79606,       149.14758,       12.79972,    103.56082,     -20.46867,     103.55329,      -20.46770,  1195063.15,  4132548.43,  4823555.91,      48.460141,       +0.199888,   96942.43,  387096.54,   20118.21,            20118.21,  -747.15,  34856.78,           74241.34,    -37.77,     39.78,          29.23,  +4.93,  +1.99

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.