Orbital Analysis for matched events on 20211103_034430.928_UK

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Summary for Event
-----------------
shower ID 337 NUE
Lg 115.41° Bg -8.09° Vg 71.75km/s
mass 0.00586g, abs. mag 0.4
best visual mag 1.3
Path Details
------------
start 2.38° 50.72° 102.29km
end   2.33° 50.79° 91.29km

Orbit Details
-------------
Semimajor axis -5.50A.U., eccentricity 1.15, inclination 165.32°, Period nanY, LA Sun 220.64°, 

Full details below
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Detailed report below graphs

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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: 2459521.655913528521
Time: 2021-11-03 03:44:30.928864 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0004 and UK0045
 Convergence angle = 18.60352 deg
 R.A. = 113.81565  Dec = +13.16620 deg

Best intersection: Stations UK0004 and UK0045 with Qconv = 18.60 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -794162.87 +/- 382.19 m
 Y =   4033730.14 +/- 122.50 m
 Z =   4993003.81 +/- 118.95 m
 Vx =   -31089.97 +/- 1545.66 m/s
 Vy =    63457.46 +/- 3070.06 m/s
 Vz =    16678.43 +/- 1234.27 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.220481e+05, -3.121461e+04, -3.445755e+04, +7.901693e+05, -2.566932e+05, -2.203699e+05
-3.121461e+04, +1.385555e+04, +1.098277e+04, -1.830120e+05, +6.135038e+04, +7.657029e+04
-3.445755e+04, +1.098277e+04, +1.404022e+04, -2.420356e+05, +7.669759e+04, +1.036237e+05
+7.901693e+05, -1.830120e+05, -2.420356e+05, +6.996739e+06, -2.155564e+06, -2.164044e+06
-2.566932e+05, +6.135038e+04, +7.669759e+04, -2.155564e+06, +6.713333e+05, +6.509791e+05
-2.203699e+05, +7.657029e+04, +1.036237e+05, -2.164044e+06, +6.509791e+05, +1.008110e+06

Timing offsets (from input data):
    UK0004: 0.000000 s
    UK0045: -0.000116 s

Reference point on the trajectory:
  Time: 2021-11-03 03:44:30.928864 UTC
  Lon     = ++2.382797 +/- 0.0050 deg
  Lat     = +50.718211 +/- 0.0008 deg
  Lat geo = +50.532470 +/- 0.0008 deg
  Ht      =  102336.02 +/- 202.49 m

  JD dynamic   = 2459521.656714269426 
  LST apparent = 101.1379709034 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 116.10181 +/- 2.2157 deg
  Dec       = +13.28011 +/- 0.5803 deg
  Azimuth   = 156.65837 +/- 3.4748 deg
  Elevation = +50.63440 +/- 0.4803 deg
  Vavg      =  70.60799 +/- 2.0797 km/s
  Vinit     =  72.60583 +/- 2.2506 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 116.33638 +/- 2.2157 deg
  Dec       = +13.26599 +/- 0.5803 deg
  Azimuth   = 156.31679 +/- 3.4748 deg
  Elevation = +50.56151 +/- 0.4803 deg
  Vavg      =  70.68391 +/- 2.0797 km/s
  Vinit     =  72.68174 +/- 2.2506 km/s
Radiant (geocentric, J2000):
  R.A.   = 115.86094 +/- 2.2229 deg
  Dec    = +13.10041 +/- 0.5984 deg
  Vg     =  71.75201 +/- 2.2814 km/s
  Vinf   =  72.60583 +/- 2.2506 km/s
  Zc     =  39.19512 +/- 0.4807 deg
  Zg     =  39.43643 +/- 0.4831 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 115.41056 +/- 2.1215 deg
  Bg     =  -8.08525 +/- 0.8238 deg
  Vh     =  44.15663 +/- 1.4857 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 104.26376 +/- 4.3609 deg
  Bh     = -13.21111 +/- 1.4010 deg
  Vh_x   =  10.59165 +/- 3.1313 km/s
  Vh_y   = -41.66277 +/- 1.3458 km/s
  Vh_z   =  10.09154 +/- 0.6594 km/s
Orbit:
  La Sun = 220.642463 +/- -0.0000 deg
  a      =  -5.495476 +/- 41.5865 AU
  e      =   1.148909 +/- 0.0847
  i      = 165.316745 +/- 2.5354 deg
  peri   =  47.745144 +/- 12.1407 deg
  node   =  40.640797 +/- 0.0004 deg
  Pi     =  88.385941 +/- 12.1411 deg
  q      =   0.818326 +/- 0.0800 AU
  f      = 312.251210 +/- 12.1403 deg
  M      =        nan +/- nan deg
  Q      = -11.809278 +/- 83.1450 AU
  n      =   0.076506 +/- 0.0625 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -2.071620 +/- 0.8033
Shower association:
  IAU No.  =  337
  IAU code =  NUE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.904605e-03, +3.600963e-03, -7.458488e+03, -1.738642e-05, -5.382967e-01, +1.127116e-01
q   , +3.600963e-03, +4.979830e-03, -7.195167e+03, -2.277914e-05, -7.361275e-01, +1.529584e-01
Tp  , -7.458488e+03, -7.195167e+03, +4.155169e+10, +3.587328e+01, +1.103453e+06, -2.120150e+05
node, -1.738642e-05, -2.277914e-05, +3.587328e+01, +1.304679e-07, +3.391190e-03, -8.646155e-04
peri, -5.382967e-01, -7.361275e-01, +1.103453e+06, +3.391190e-03, +1.089395e+02, -2.269828e+01
i   , +1.127116e-01, +1.529584e-01, -2.120150e+05, -8.646155e-04, -2.269828e+01, +5.836851e+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: UK0004
  Avg. res. = 1.420e-05 s
  Stddev    = 3.77e-03 s

Begin point on the trajectory:
  Lon =     2.382569 +/- 0.0049 deg
  Lat =    50.718546 +/- 0.0006 deg
  Ht  = 102285.79 +/- 184.65 m
End point on the trajectory:
  Lon =     2.331719 +/- 0.0040 deg
  Lat =    50.791980 +/- 0.0004 deg
  Ht  = 91290.11 +/- 148.50 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
    UK0004,   False,     0.265784,    50.757315,   55.00,   0.000000,   0.000000,   102285.79,    91290.11,          0.040734,     25.70,    126.44,              51.68, 1.0000,    True,    True, {"ff_name": "FF_UK0004_20211103_034425_912_0957696.fits"}
    UK0045,   False,    -0.162580,    51.236418,  112.00,   0.043106,  45.621191,   101121.32,    92300.63,          0.016321,     30.28,     50.97,              45.23, 1.0000,    True,    True, {"ff_name": "FF_UK0045_20211103_034429_785_0955904.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,     UK0004,       0,  0.000000, 2459521.655913528521, 165.75689,  24.90253,               90.76165,  33.55531,        90.83357,       33.48336,    165.75689,     +24.90253,     165.76479,      +24.80915,  -794135.05,  4033673.37,  4992988.89,      50.718546,       +2.382569,  102285.79,  182083.10,       0.00,               64.96,   420.02,      0.00,           70460.73,    291.68,     59.20,         337.15,  +3.00,  +1.70
  1,     UK0004,       0,  0.040408, 2459521.655913996045, 166.38777,  24.87021,               90.29761,  33.13306,        90.31160,       33.11916,    166.38777,     +24.87021,     166.38935,      +24.85207,  -793102.02,  4031564.86,  4992434.71,      50.730979,       +2.373946,  100420.85,  180469.98,    2412.48,             2477.45,  -101.36,  59703.07,           70460.73,     56.10,     11.49,          65.45,  +2.62,  +1.34
  2,     UK0004,       0,  0.080904, 2459521.655914464965, 167.23228,  24.91439,               89.60714,  32.63048,        89.61411,       32.62362,    167.23228,     +24.91439,     167.23326,      +24.90538,  -791736.60,  4028777.89,  4991702.22,      50.747423,       +2.362588,   97956.36,  178368.82,    5601.23,             5666.19,   147.14,  78742.26,           70460.73,     27.53,      5.64,          32.50,  +1.96,  +0.70
  3,     UK0004,       0,  0.121368, 2459521.655914933421, 168.00245,  24.93024,               89.00133,  32.15467,        88.98607,       32.16959,    168.00245,     +24.93024,     168.00168,      +24.94994,  -790521.16,  4026297.09,  4991050.19,      50.762070,       +2.352445,   95763.12,  176524.90,    8439.68,             8504.65,    47.67,  70147.59,           70460.73,    -59.56,    -12.24,          71.05,  +1.29,  +0.06
  4,     UK0004,       0,  0.161824, 2459521.655915401410, 168.79031,  24.97490,               88.36159,  31.68839,        88.34871,       31.70091,    168.79031,     +24.97490,     168.79001,      +24.99151,  -789300.75,  4023806.11,  4990395.49,      50.776786,       +2.342249,   93561.39,  174700.39,   11289.77,            11354.73,   -39.58,  70449.05,           70703.12,    -49.69,    -10.21,          59.90,  +1.61,  +0.40
  5,     UK0004,       0,  0.202304, 2459521.655915869866, 169.62102,  25.02046,               87.69203,  31.19584,        87.68403,       31.20357,    169.62102,     +25.02046,     169.62133,      +25.03078,  -788041.51,  4021235.88,  4989719.96,      50.791980,       +2.331719,   91290.11,  172847.34,   14230.54,            14295.50,   -37.90,  72647.45,           71050.27,    -30.51,     -6.26,          37.17,  +3.44,  +2.25
  0,     UK0045,       0,  0.026526, 2459521.655913838185, 158.86441,  11.45111,              106.65789,  27.32907,       106.66099,       27.32631,    158.86441,     +11.45111,     158.86402,      +11.44724,  -793490.05,  4032356.85,  4992642.87,      50.726308,       +2.377180,  101121.32,  213969.12,       0.00,             1571.27,     0.35,      0.00,           74428.90,     12.50,      7.44,          14.02,  +2.63,  +0.98
  1,     UK0045,       0,  0.066786, 2459521.655914304312, 159.36625,  11.37482,              106.27343,  26.96746,       106.26537,       26.97461,    159.36625,     +11.37482,     159.36784,      +11.38488,  -792302.63,  4029933.23,  4992005.87,      50.740605,       +2.367286,   98977.94,  211898.65,    2773.03,             4344.30,  -149.73,  68877.99,           74428.90,    -32.21,    -19.17,          36.48,  +4.15,  +2.52
  2,     UK0045,       0,  0.107130, 2459521.655914771371, 160.04640,  11.28392,              105.74641,  26.48635,       105.73428,       26.49708,    160.04640,     +11.28392,     160.04887,      +11.29906,  -790733.78,  4026731.05,  4991164.25,      50.759507,       +2.354249,   96146.76,  209191.38,    6436.85,             8008.12,   584.89,  90814.56,           74428.90,    -47.89,    -28.51,          54.95,  +2.43,  +0.83
  3,     UK0045,       0,  0.147318, 2459521.655915236566, 160.49432,  11.27280,              105.36754,  26.20742,       105.39172,       26.18607,    160.49432,     +11.27280,     160.49090,      +11.24262,  -789734.93,  4024692.32,  4990628.41,      50.771550,       +2.345877,   94344.64,  207479.44,    8769.49,            10340.76,    -0.35,  58043.26,           74428.90,     94.76,     56.26,         109.56,  +2.04,  +0.46
  4,     UK0045,       0,  0.187598, 2459521.655915702693, 160.99944,  11.16924,              105.00423,  25.82062,       104.99835,       25.82580,    160.99944,     +11.16924,     161.00122,      +11.17658,  -788601.80,  4022379.49,  4990020.53,      50.785218,       +2.336391,   92300.63,  205553.56,   11415.76,            12987.03,  -278.65,  65696.77,           71593.44,    -22.83,    -13.59,          26.66,  +3.31,  +1.75
  5,     UK0045,       1,  0.227758, 2459521.655916167423, 161.35298,  11.14070,              104.72078,  25.58421,       104.72878,       25.57718,    161.35298,     +11.14070,     161.35256,      +11.13071,  -787832.43,  4020809.15,  4989607.80,      50.794504,       +2.329891,   90913.02,  204251.92,   13212.49,            14783.76, -1397.77,  44739.23,           66957.62,     30.88,     18.35,          36.28,  +6.36,  +4.81

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.