Orbital Analysis for matched events on 20211103_002056.035_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 35.48° Bg -18.44° Vg 24.41km/s
mass 0.03774g, abs. mag 1.0
best visual mag 2.0
Path Details
------------
start -2.92° 52.82° 84.02km
end   -2.91° 52.88° 79.15km

Orbit Details
-------------
Semimajor axis 5.96A.U., eccentricity 0.89, inclination 13.54°, Period 14.57Y, LA Sun 220.50°, last Perihelion 2007-05-20

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: 2459521.514537447598
Time: 2021-11-03 00:20:56.035472 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003X
 Convergence angle = 24.35017 deg
 R.A. =  39.23976  Dec =  +1.64397 deg

Best intersection: Stations UK001L and UK003X with Qconv = 24.35 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2776654.98 +/- 48.59 m
 Y =   2757663.09 +/- 76.02 m
 Z =   5125528.04 +/- 134.82 m
 Vx =    20631.13 +/- 260.84 m/s
 Vy =    17131.11 +/- 377.56 m/s
 Vz =     -580.60 +/- 809.72 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.348501e+03, -1.753641e+03, +4.325290e+03, +6.152305e+03, -1.220761e+04, +2.356443e+04
-1.753641e+03, +5.725495e+03, -8.711751e+03, -1.176394e+04, +2.396892e+04, -4.929857e+04
+4.325290e+03, -8.711751e+03, +1.666580e+04, +2.054981e+04, -4.359628e+04, +9.642555e+04
+6.152305e+03, -1.176394e+04, +2.054981e+04, +3.119402e+04, -6.316122e+04, +1.236080e+05
-1.220761e+04, +2.396892e+04, -4.359628e+04, -6.316122e+04, +1.327433e+05, -2.798352e+05
+2.356443e+04, -4.929857e+04, +9.642555e+04, +1.236080e+05, -2.798352e+05, +6.756203e+05

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK003X: 0.000690 s

Reference point on the trajectory:
  Time: 2021-11-03 00:20:56.035472 UTC
  Lon     = +-2.917060 +/- 0.0011 deg
  Lat     = +52.821057 +/- 0.0009 deg
  Lat geo = +52.638010 +/- 0.0009 deg
  Ht      =   84030.86 +/- 96.30 m

  JD dynamic   = 2459521.515338188503 
  LST apparent = 44.8033812239 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  39.70462 +/- 0.8628 deg
  Dec       =  -1.24032 +/- 1.7352 deg
  Azimuth   = 186.28696 +/- 1.3183 deg
  Elevation = +35.76962 +/- 1.6516 deg
  Vavg      =  24.55918 +/- 0.1423 km/s
  Vinit     =  26.82267 +/- 0.0560 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  40.31247 +/- 0.8628 deg
  Dec       =  -1.24142 +/- 1.7352 deg
  Azimuth   = 185.53916 +/- 1.3183 deg
  Elevation = +35.80636 +/- 1.6516 deg
  Vavg      =  24.53533 +/- 0.1423 km/s
  Vinit     =  26.79882 +/- 0.0560 km/s
Radiant (geocentric, J2000):
  R.A.   =  39.24650 +/- 0.8931 deg
  Dec    =  -4.08039 +/- 1.8222 deg
  Vg     =  24.40977 +/- 0.0615 km/s
  Vinf   =  26.82267 +/- 0.0560 km/s
  Zc     =  54.04843 +/- 1.6510 deg
  Zg     =  56.80065 +/- 1.7362 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  35.48473 +/- 0.3856 deg
  Bg     = -18.43858 +/- 1.9942 deg
  Vh     =  40.49137 +/- 0.1094 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 346.75154 +/- 0.1513 deg
  Bh     = -10.99170 +/- 1.1975 deg
  Vh_x   = -38.69065 +/- 0.1855 km/s
  Vh_y   =   9.10934 +/- 0.1117 km/s
  Vh_z   =   7.72036 +/- 0.8325 km/s
Orbit:
  La Sun = 220.500852 +/- -0.0000 deg
  a      =   5.964243 +/- 0.3431 AU
  e      =   0.893168 +/- 0.0059
  i      =  13.541170 +/- 1.4628 deg
  peri   =  76.014039 +/- 0.6455 deg
  node   =  40.504285 +/- 0.0006 deg
  Pi     = 116.518323 +/- 0.6456 deg
  q      =   0.637174 +/- 0.0045 AU
  f      = 283.983086 +/- 0.6456 deg
  M      = 357.333626 +/- 0.2559 deg
  Q      =  11.291312 +/- 0.6842 AU
  n      =   0.067666 +/- 0.0061 deg/day
  T      =  14.565777 +/- 1.2505 years
  Last perihelion JD = 2454240.677581 (2007-05-20 04:15:43.001068) +/- 456.9221 days
  Tj     =   1.808696 +/- 0.0473
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.286783e-05, +1.225700e-05, -2.523800e+00, +1.563910e-06, -2.436881e-03, -3.357018e-03
q   , +1.225700e-05, +2.477509e-05, -1.087054e+00, -1.624584e-06, -3.448703e-03, +4.836603e-03
Tp  , -2.523800e+00, -1.087054e+00, +1.962108e+05, -1.056563e-01, +2.054070e+02, +2.111568e+02
node, +1.563910e-06, -1.624584e-06, -1.056563e-01, +3.283503e-07, +1.615271e-04, -8.244016e-04
peri, -2.436881e-03, -3.448703e-03, +2.054070e+02, +1.615271e-04, +4.999841e-01, -5.164053e-01
i   , -3.357018e-03, +4.836603e-03, +2.111568e+02, -8.244016e-04, -5.164053e-01, +2.189578e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 4.786253
 a2 = 13.930085

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 1.194e-05 s
  Stddev    = 3.46e-03 s

Begin point on the trajectory:
  Lon =    -2.917045 +/- 0.0011 deg
  Lat =    52.821136 +/- 0.0009 deg
  Ht  = 84024.40 +/- 91.95 m
End point on the trajectory:
  Lon =    -2.907604 +/- 0.0007 deg
  Lat =    52.880921 +/- 0.0011 deg
  Ht  = 79145.49 +/- 73.57 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   7.605395,  12.880206,    84024.40,    79431.84,          0.035199,    106.80,     11.27,              93.55, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20211103_002048_576_0645376.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   7.116588,  12.849889,    83796.06,    79145.49,          0.024568,     66.95,     11.21,             103.28, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20211103_002050_974_0638720.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,     UK001L,       0,  0.000000, 2459521.514537447598, 299.49653,  48.64602,              314.19571,  28.15704,       314.19646,       28.15761,    299.49653,     +48.64602,     299.49627,      +48.64689,  2776646.47,  2757656.03,  5125528.28,      52.821136,       -2.917045,   84024.40,  174038.99,       0.00,               11.06,   405.73,      0.00,           23381.70,     -0.28,      2.66,           3.17,  +5.75,  +4.55
  1,     UK001L,       0,  0.040140, 2459521.514537912328, 299.16044,  48.66679,              314.39855,  28.02400,       314.35609,       27.99145,    299.16044,     +48.66679,     299.16984,      +48.61753,  2776131.15,  2757228.13,  5125542.78,      52.825928,       -2.916341,   83632.80,  174136.86,     669.97,              681.03,    -0.96,  16690.95,           23381.70,     15.70,   -150.07,         178.73,  +3.47,  +2.27
  2,     UK001L,       0,  0.080404, 2459521.514538377989, 298.67586,  48.57769,              314.60173,  27.74419,       314.59756,       27.74100,    298.67586,     +48.57769,     298.67705,      +48.57286,  2775352.33,  2756581.43,  5125564.70,      52.833173,       -2.915191,   83041.03,  174285.84,    1682.53,             1693.59,   -68.39,  25147.89,           23381.70,      1.55,    -14.74,          17.54,  +2.90,  +1.69
  3,     UK001L,       0,  0.120680, 2459521.514538844116, 298.13864,  48.50779,              314.85014,  27.45623,       314.86204,       27.46533,    298.13864,     +48.50779,     298.13615,      +48.52160,  2774494.55,  2755869.17,  5125588.84,      52.841153,       -2.913907,   82389.38,  174455.81,    2797.73,             2808.79,   -33.51,  27688.89,           23381.70,     -4.45,     42.23,          50.21,  +2.36,  +1.15
  4,     UK001L,       0,  0.160972, 2459521.514539310709, 297.55900,  48.43580,              315.12226,  27.14899,       315.14627,       27.16733,    297.55900,     +48.43580,     297.55342,      +48.46366,  2773566.76,  2755098.78,  5125614.95,      52.849786,       -2.912504,   81684.68,  174646.87,    4003.95,             4015.01,    91.98,  29936.98,           25184.55,     -9.01,     85.34,         101.35,  +2.16,  +0.95
  5,     UK001L,       0,  0.201204, 2459521.514539776370, 297.08306,  48.39280,              315.35867,  26.90963,       315.37668,       26.92336,    297.08306,     +48.39280,     297.07900,      +48.41369,  2772807.72,  2754468.51,  5125636.31,      52.856850,       -2.911385,   81108.23,  174810.50,    4990.78,             5001.84,    -0.32,  24528.54,           25605.30,     -6.76,     64.10,          76.05,  +3.14,  +1.93
  6,     UK001L,       0,  0.241420, 2459521.514540241566, 296.68948,  48.31316,              315.52275,  26.67876,       315.57118,       26.71566,    296.68948,     +48.31316,     296.67704,      +48.36932,  2772161.85,  2753932.21,  5125654.49,      52.862863,       -2.910458,   80617.78,  174955.05,    5830.48,             5841.54,  -239.32,  20879.80,           25249.68,    -18.29,    172.64,         204.67,  +3.25,  +2.04
  7,     UK001L,       1,  0.281584, 2459521.514540706761, 296.29251,  48.32450,              315.75559,  26.51607,       315.75641,       26.51670,    296.29251,     +48.32450,     296.29335,      +48.32546,  2771543.11,  2753418.43,  5125671.90,      52.868623,       -2.909576,   80147.98,  175097.47,    6634.92,             6645.98,  -512.19,  20028.83,           24667.43,     -0.31,      2.94,           3.49,  +6.53,  +5.31
  8,     UK001L,       0,  0.321900, 2459521.514541173354, 295.72182,  48.20592,              315.99390,  26.18025,       316.03856,       26.21417,    295.72182,     +48.20592,     295.70979,      +48.25767,  2770599.71,  2752635.08,  5125698.45,      52.877408,       -2.908143,   79431.84,  175317.74,    7861.44,             7872.50,  -367.05,  30422.67,           24779.90,    -16.93,    159.75,         189.00,  +5.22,  +4.00
  0,     UK003X,       0,  0.024511, 2459521.514537723735, 262.58518,  66.53471,              343.58072,  31.54400,       343.59543,       31.54847,    262.58518,     +66.53471,     262.56184,      +66.54423,  2776346.00,  2757406.53,  5125536.74,      52.823930,       -2.916637,   83796.06,  157251.57,       0.00,              401.71,   138.92,      0.00,           25984.30,      6.04,     36.02,          47.90,  +2.93,  +1.95
  1,     UK003X,       0,  0.064815, 2459521.514538190328, 262.00812,  66.27009,              343.68890,  31.20511,       343.72840,       31.21711,    262.00812,     +66.27009,     261.94545,      +66.29552,  2775564.68,  2756757.76,  5125558.72,      52.831197,       -2.915483,   83202.38,  157573.80,    1015.80,             1417.50,    73.65,  25203.35,           25984.30,     16.27,     97.25,         129.06,  +2.63,  +1.64
  2,     UK003X,       0,  0.105147, 2459521.514538656920, 261.30433,  66.01911,              343.86361,  30.85640,       343.87151,       30.85880,    261.30433,     +66.01911,     261.29204,      +66.02416,  2774716.42,  2756053.40,  5125582.60,      52.839089,       -2.914216,   82557.93,  157930.03,    2118.62,             2520.33,    94.67,  27343.74,           25984.30,      3.28,     19.56,          25.91,  +2.03,  +1.04
  3,     UK003X,       0,  0.145451, 2459521.514539123513, 260.64686,  65.80063,              344.04016,  30.54543,       344.00011,       30.53330,    260.64686,     +65.80063,     260.71154,      +65.77524,  2773942.92,  2755411.13,  5125604.36,      52.846286,       -2.913074,   81970.37,  158261.09,    3124.26,             3525.96,    19.24,  24951.20,           25984.30,    -16.74,    -99.61,         131.64,  +2.11,  +1.11
  4,     UK003X,       0,  0.185743, 2459521.514539589640, 260.22322,  65.49754,              344.07947,  30.19726,       344.12633,       30.21148,    260.22322,     +65.49754,     260.14884,      +65.52710,  2773175.25,  2754773.69,  5125625.97,      52.853430,       -2.911941,   81387.33,  158595.27,    4122.31,             4524.02,   -63.45,  24770.51,           25683.73,     19.57,    117.18,         154.51,  +2.28,  +1.28
  5,     UK003X,       0,  0.226047, 2459521.514540056232, 259.61720,  65.25757,              344.23336,  29.87541,       344.25482,       29.88192,    259.61720,     +65.25757,     259.58358,      +65.27101,  2772385.95,  2754118.29,  5125648.18,      52.860776,       -2.910771,   80787.95,  158944.58,    5148.48,             5550.19,  -118.33,  25460.83,           25565.98,      9.02,     53.94,          70.98,  +2.11,  +1.10
  6,     UK003X,       0,  0.266319, 2459521.514540522359, 259.10709,  65.03210,              344.35606,  29.58308,       344.36861,       29.58689,    259.10709,     +65.03210,     259.08793,      +65.03991,  2771676.78,  2753529.43,  5125668.14,      52.867378,       -2.909736,   80249.49,  159263.65,    6070.47,             6472.18,  -276.55,  22894.11,           25237.92,      5.30,     31.68,          41.60,  +3.92,  +2.91
  7,     UK003X,       0,  0.306575, 2459521.514540988486, 258.64948,  64.80874,              344.46003,  29.30145,       344.47597,       29.30629,    258.64948,     +64.80874,     258.62501,      +64.81862,  2770999.92,  2752967.40,  5125687.19,      52.873681,       -2.908756,   79735.62,  159572.68,    6950.48,             7352.18,  -476.32,  21860.10,           24820.08,      6.76,     40.43,          52.98,  +4.71,  +3.70
  8,     UK003X,       0,  0.346875, 2459521.514541454613, 258.10165,  64.56430,              344.59908,  28.98544,       344.59871,       28.98532,    258.10165,     +64.56430,     258.10359,      +64.56407,  2770222.49,  2752321.85,  5125709.06,      52.880921,       -2.907604,   79145.49,  159932.43,    7961.22,             8362.92,  -546.53,  25080.47,           24642.35,     -0.16,     -0.95,           1.24,  +4.67,  +3.65

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.