Orbital Analysis for matched events on 20210929_040127.840_UK

Summary for Event
-----------------
shower ID 210 BAU
Lg 90.89° Bg 16.40° Vg 70.92km/s
mass 0.00743g, abs. mag -0.3
Path Details
------------
start -4.36° 50.95° 112.92km
end   -4.43° 50.97° 100.31km

Orbit Details
-------------
Semimajor axis -7.47A.U., eccentricity 1.13, inclination 152.23°, Period 1000000000.00Y, LA Sun 185.94°, 

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: 2459486.667683335952
Time: 2021-09-29 04:01:27.840226 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003E
 Convergence angle = 18.12717 deg
 R.A. =  92.90225  Dec = +39.50404 deg

Best intersection: Stations UK0024 and UK003E with Qconv = 18.13 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1786811.03 +/- 149.68 m
 Y =   3687305.91 +/- 33.55 m
 Z =   5017857.61 +/- 108.31 m
 Vx =    -1304.89 +/- 1348.43 m/s
 Vy =    55036.31 +/- 857.84 m/s
 Vz =    46058.73 +/- 915.89 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.999547e+02, +2.843981e+02, +7.533218e+02, +4.293716e+03, +7.617608e+01, +4.508137e+03
+2.843981e+02, +2.753095e+02, +4.034116e+02, -4.236087e+03, -3.516894e+02, -2.583959e+03
+7.533218e+02, +4.034116e+02, +8.149481e+02, -4.419885e+02, -2.230879e+02, +9.865614e+02
+4.293716e+03, -4.236087e+03, -4.419885e+02, +2.136728e+05, +1.293865e+04, +1.626929e+05
+7.617608e+01, -3.516894e+02, -2.230879e+02, +1.293865e+04, +8.308299e+02, +9.532540e+03
+4.508137e+03, -2.583959e+03, +9.865614e+02, +1.626929e+05, +9.532540e+03, +1.260267e+05

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK0024: 0.000000 s
    UK003E: 0.000891 s

Reference point on the trajectory:
  Time: 2021-09-29 04:01:27.840226 UTC
  Lon     = +-4.360592 +/- 0.0017 deg
  Lat     = +50.951112 +/- 0.0002 deg
  Lat geo = +50.765981 +/- 0.0002 deg
  Ht      =  112921.75 +/- 141.28 m

  JD dynamic   = 2459486.668484076858 
  LST apparent = 64.1458941015 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  91.35821 +/- 1.3914 deg
  Dec       = +39.91733 +/- 0.4942 deg
  Azimuth   = 109.68305 +/- 0.8416 deg
  Elevation = +68.13061 +/- 1.1332 deg
  Vavg      =  66.56111 +/- 0.4324 km/s
  Vinit     =  71.77816 +/- 0.6837 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  91.63407 +/- 1.3914 deg
  Dec       = +39.84712 +/- 0.4942 deg
  Azimuth   = 109.46963 +/- 0.8416 deg
  Elevation = +67.92237 +/- 1.1332 deg
  Vavg      =  66.66644 +/- 0.4324 km/s
  Vinit     =  71.88350 +/- 0.6837 km/s
Radiant (geocentric, J2000):
  R.A.   =  91.11391 +/- 1.4021 deg
  Dec    = +39.83628 +/- 0.4980 deg
  Vg     =  70.91580 +/- 0.6922 km/s
  Vinf   =  71.77816 +/- 0.6837 km/s
  Zc     =  21.80770 +/- 1.1355 deg
  Zg     =  21.94111 +/- 1.1456 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  90.89162 +/- 1.1355 deg
  Bg     = +16.40204 +/- 0.4791 deg
  Vh     =  43.47170 +/- 0.8654 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.28807 +/- 1.9675 deg
  Bh     = +27.43191 +/- 0.5530 deg
  Vh_x   =  -2.49791 +/- 1.3161 km/s
  Vh_y   = -38.50275 +/- 0.5576 km/s
  Vh_z   = -20.02716 +/- 0.7517 km/s
Orbit:
  La Sun = 185.940799 +/- nan deg
  a      =  -7.472338 +/- 62.3326 AU
  e      =   1.131269 +/- 0.0817
  i      = 152.232611 +/- 0.6577 deg
  peri   = 196.120565 +/- 2.8819 deg
  node   = 185.941606 +/- 0.0000 deg
  Pi     =  22.062171 +/- 2.8820 deg
  q      =   0.980888 +/- 0.0063 AU
  f      = 343.878122 +/- 2.8819 deg
  M      =        nan +/- nan deg
  Q      = -15.925565 +/- 124.6660 AU
  n      =   0.048252 +/- 0.0249 deg/day
  T      = 1000000000.000000 +/- 399999967.5176 years
  Last perihelion JD = NaN 
  Tj     =  -1.818094 +/- 0.4449
Shower association:
  IAU No.  =  210
  IAU code =  BAU

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.982130e-04, -4.264059e-05, -5.637760e+02, +7.744465e-09, +5.352966e-04, -1.457517e-04
q   , -4.264059e-05, +2.627552e-06, +3.369076e+01, -4.717705e-10, -3.314374e-05, +8.873923e-06
Tp  , -5.637760e+02, +3.369076e+01, +4.785543e+08, -6.290911e-03, -4.179506e+02, +1.185487e+02
node, +7.744465e-09, -4.717705e-10, -6.290911e-03, +8.596095e-14, +5.914412e-09, -1.618042e-09
peri, +5.352966e-04, -3.314374e-05, -4.179506e+02, +5.914412e-09, +4.191316e-04, -1.112163e-04
i   , -1.457517e-04, +8.873923e-06, +1.185487e+02, -1.618042e-09, -1.112163e-04, +3.045737e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 15.106804
 a2 = 19.110963

Mean time residuals from time vs. length:
  Station with reference time: UK0024
  Avg. res. = 2.506e-05 s
  Stddev    = 5.01e-03 s

Begin point on the trajectory:
  Lon =    -4.360610 +/- 0.0017 deg
  Lat =    50.951116 +/- 0.0002 deg
  Ht  = 112918.35 +/- 137.36 m
End point on the trajectory:
  Lon =    -4.428229 +/- 0.0016 deg
  Lat =    50.966178 +/- 0.0001 deg
  Ht  = 100314.59 +/- 108.84 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
    UK000T,    True,    -3.557111,    51.483925,   37.50, 10508.621144,   1.576576,   126505.02,   113667.96,          0.416500,       nan,       nan,              48.84, 0.0000,    True,    True, {"ff_name": "FF_UK000T_20210929_040128_479_0838912.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,  14.695528,  18.593031,   112918.35,   100314.59,          0.011735,     30.46,      2.94,              63.21, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210929_040123_769_0858880.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   111108.32,   103580.64,          0.009974,     34.48,     15.20,              77.27, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210929_040118_499_0864000.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,     UK000T,       1,  1.246967, 2459486.667697768658,  42.69422,  23.09189,              219.54938,  56.82906,       220.42573,       57.10357,     42.69422,     +23.09189,      42.36147,      +23.54715,  1786544.85,  3698532.73,  5027253.11,      50.934899,       -4.294167,  126505.02,  150015.08,       0.00,            14641.99, -74392.47,      0.00,           68430.58,   -941.29,  -1093.22,        1983.50,  +6.42,  +5.54
  1,     UK000T,       1,  1.287547, 2459486.667698238045,  41.98243,  22.72630,              220.33253,  56.21513,       221.10623,       56.45623,     41.98243,     +22.72630,      41.68536,      +23.13186,  1786594.97,  3696418.80,  5025484.00,      50.937950,       -4.307798,  123945.17,  148052.85,    2756.98,            11885.00, -80062.21,  67939.44,           68430.58,   -827.95,   -964.85,        1771.22,  +1.10,  +0.25
  2,     UK000T,       1,  1.328143, 2459486.667698707897,  41.25544,  22.34852,              221.11172,  55.58049,       221.78098,       55.78802,     41.25544,     +22.34852,      40.99571,      +22.70260,  1786645.08,  3694305.28,  5023715.25,      50.941001,       -4.321439,  121385.96,  146116.83,    5513.42,             9128.57, -85732.56,  67899.23,           68430.58,   -713.73,   -834.61,        1550.18,  +0.25,  -0.57
  3,     UK000T,       1,  1.368775, 2459486.667699178215,  40.49440,  21.94597,              221.90403,  54.90602,       222.46739,       55.07986,     40.49440,     +21.94597,      40.27354,      +22.24696,  1786696.51,  3692136.02,  5021899.83,      50.944134,       -4.335448,  118759.42,  144157.59,    8342.57,             6299.42, -91478.19,  69628.55,           68430.58,   -598.91,   -702.78,        1321.11,  -0.15,  -0.94
  4,     UK000T,       1,  1.409427, 2459486.667699648999,  39.74946,  21.52868,              222.64469,  54.22152,       223.12813,       54.37000,     39.74946,     +21.52868,      39.55803,      +21.78948,  1786746.45,  3690029.87,  5020137.24,      50.947176,       -4.349068,  116209.42,  142283.65,   11089.40,             3552.58, -97142.95,  67569.47,           68360.31,   -512.79,   -603.30,        1147.77,  -0.05,  -0.82
  5,     UK000T,       1,  1.450099, 2459486.667700119317,  38.99281,  21.09719,              223.37501,  53.51608,       223.78083,       53.64017,     38.99281,     +21.09719,      38.83074,      +21.31829,  1786796.22,  3687930.65,  5018380.45,      50.950210,       -4.362655,  113667.96,  140444.62,   13827.20,              814.79, -102800.11,  67313.97,           68190.54,   -429.64,   -506.76,         975.68,  +1.27,  +0.53
  0,     UK0024,       0,  0.000000, 2459486.667683335952,   7.73662,  37.90359,              275.27172,  47.88126,       275.26982,       47.88112,      7.73662,     +37.90359,       7.73745,      +37.90249,  1786811.10,  3687303.10,  5017855.27,      50.951116,       -4.360610,  112918.35,  151060.96,       0.00,                3.66,   474.23,      0.00,           67990.40,      0.32,      3.35,           4.60,  +3.23,  +2.33
  1,     UK0024,       0,  0.040708, 2459486.667683807202,   6.82428,  37.49303,              275.43870,  47.05851,       275.40556,       47.05599,      6.82428,     +37.49303,       6.83933,      +37.47362,  1786855.44,  3685432.95,  5016290.18,      50.953819,       -4.372747,  110654.88,  149959.22,    2439.04,             2442.70,    -8.68,  59915.53,           67990.40,      5.71,     59.19,          81.79,  +1.50,  +0.62
  2,     UK0024,       0,  0.081532, 2459486.667684279382,   5.80237,  36.98306,              275.58072,  46.10330,       275.55754,       46.10154,      5.80237,     +36.98306,       5.81342,      +36.96934,  1786905.95,  3683302.28,  5014507.06,      50.956900,       -4.386563,  108076.23,  148741.82,    5217.85,             5221.51,  -160.13,  68068.13,           67990.40,      4.04,     41.78,          58.21,  +1.04,  +0.18
  3,     UK0024,       0,  0.122468, 2459486.667684753425,   4.65861,  36.39097,              275.73332,  45.01685,       275.72419,       45.01616,      4.65861,     +36.39097,       4.66347,      +36.38551,  1786962.44,  3680919.87,  5012513.28,      50.960345,       -4.402007,  105193.10,  147429.91,    8324.98,             8328.64,     8.68,  75902.10,           67990.40,      1.61,     16.63,          23.37,  +0.88,  +0.04
  4,     UK0024,       0,  0.163204, 2459486.667685224675,   3.77003,  35.92071,              275.85345,  44.16330,       275.85055,       44.16308,      3.77003,     +35.92071,       3.77213,      +35.91895,  1787006.11,  3679078.10,  5010971.94,      50.963009,       -4.413995,  102964.35,  146454.85,   10727.02,            10730.67,  -513.24,  58965.88,           66984.54,      0.52,      5.33,           7.55,  +1.59,  +0.76
  5,     UK0024,       0,  0.204092, 2459486.667685698252,   2.71024,  35.34863,              275.99923,  43.13469,       275.99828,       43.13461,      2.71024,     +35.34863,       2.71157,      +35.34804,  1787058.03,  3676888.28,  5009139.32,      50.966178,       -4.428229,  100314.59,  145337.25,   13582.97,            13586.63,  -592.15,  69848.19,           67106.84,      0.17,      1.77,           2.53,  +3.04,  +2.23
  0,     UK003E,       0,  0.035768, 2459486.667683742475,   5.37837,  15.58054,              257.12155,  29.89586,       257.13740,       29.89891,      5.37837,     +15.58054,       5.36946,      +15.59159,  1786846.55,  3685807.61,  5016603.72,      50.953278,       -4.370325,  111108.32,  217178.32,       0.00,             1954.08,  -142.74,      0.00,           66399.61,    -21.52,    -48.82,          50.67,  +3.16,  +1.48
  1,     UK003E,       0,  0.076552, 2459486.667684214190,   4.64024,  15.04128,              257.36438,  29.02813,       257.35927,       29.02715,      4.64024,     +15.04128,       4.64350,      +15.03770,  1786909.35,  3683159.15,  5014387.28,      50.957107,       -4.387456,  107903.02,  216440.38,    3454.11,             5408.18,   383.97,  84692.67,           66399.61,      6.96,     15.81,          16.46,  +1.28,  -0.40
  2,     UK003E,       0,  0.117160, 2459486.667684684508,   4.09346,  14.60706,              257.51991,  28.35782,       257.52682,       28.35915,      4.09346,     +14.60706,       4.08993,      +14.61193,  1786957.14,  3681143.35,  5012700.30,      50.960022,       -4.400549,  105463.55,  215916.54,    6083.10,             8037.18,    98.20,  64740.86,           66399.61,     -9.46,    -21.48,          22.42,  +0.56,  -1.11
  3,     UK003E,       0,  0.157632, 2459486.667685152963,   3.66898,  14.27162,              257.64237,  27.83837,       257.65545,       27.84088,      3.66898,     +14.27162,       3.66200,      +14.28086,  1786994.03,  3679587.40,  5011398.16,      50.962273,       -4.410700,  103580.64,  215535.60,    8112.37,            10066.45,  -777.54,  50140.03,           66399.61,    -17.96,    -40.74,          42.61,  +2.18,  +0.51

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.