Orbital Analysis for matched events on 20210810_014800.342_UK

Summary for Event
-----------------
shower ID 547 KAP
Lg 57.08° Bg 24.31° Vg 57.18km/s
mass 0.01327g, abs. mag -0.1
Path Details
------------
start -4.21° 50.11° 99.59km
end   -4.35° 50.08° 88.89km

Orbit Details
-------------
Semimajor axis 1.38A.U., eccentricity 0.36, inclination 133.04°, Period 1.63Y, LA Sun 137.38°, last Perihelion 2021-06-24

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: 2459436.575003958773
Time: 2021-08-10 01:48:00.342038 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001K and UK0024
 Convergence angle = 24.05764 deg
 R.A. =  46.09556  Dec = +43.17079 deg

Best intersection: Stations UK001K and UK0024 with Qconv = 24.06 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3948762.72 +/- 86.62 m
 Y =  -1316892.69 +/- 77.41 m
 Z =   4946989.68 +/- 23.59 m
 Vx =    28773.82 +/- 787.06 m/s
 Vy =    31123.14 +/- 795.98 m/s
 Vz =    39957.10 +/- 311.33 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.050916e+03, -6.414764e+03, -9.890063e+02, +5.041965e+04, -4.768644e+04, -8.427313e+03
-6.414764e+03, +6.441218e+03, +9.119951e+02, -3.993576e+04, +4.509704e+04, +9.421808e+03
-9.890063e+02, +9.119951e+02, +5.822637e+02, -1.630488e+03, +3.288028e+03, +5.790492e+03
+5.041965e+04, -3.993576e+04, -1.630488e+03, +4.635408e+05, -4.411812e+05, +7.955636e+03
-4.768644e+04, +4.509704e+04, +3.288028e+03, -4.411812e+05, +4.855261e+05, +1.834915e+04
-8.427313e+03, +9.421808e+03, +5.790492e+03, +7.955636e+03, +1.834915e+04, +7.410273e+04

Timing offsets (from input data):
    UK001K: 0.000000 s
    UK0024: 0.000175 s

Reference point on the trajectory:
  Time: 2021-08-10 01:48:00.342038 UTC
  Lon     = +-4.211834 +/- 0.0007 deg
  Lat     = +50.108180 +/- 0.0008 deg
  Lat geo = +49.921616 +/- 0.0008 deg
  Ht      =   99620.66 +/- 60.91 m

  JD dynamic   = 2459436.575804699678 
  LST apparent = 341.5567142325 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.24615 +/- 1.2499 deg
  Dec       = +43.31034 +/- 0.1779 deg
  Azimuth   =  72.42110 +/- 0.7303 deg
  Elevation = +45.92415 +/- 0.7763 deg
  Vavg      =  55.96073 +/- 0.0285 km/s
  Vinit     =  58.25077 +/- 0.2630 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.41397 +/- 1.2499 deg
  Dec       = +43.12422 +/- 0.1779 deg
  Azimuth   =  72.54981 +/- 0.7303 deg
  Elevation = +45.72030 +/- 0.7763 deg
  Vavg      =  56.16246 +/- 0.0285 km/s
  Vinit     =  58.45250 +/- 0.2630 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.38230 +/- 1.2556 deg
  Dec    = +42.99664 +/- 0.1805 deg
  Vg     =  57.18261 +/- 0.2679 km/s
  Vinf   =  58.25077 +/- 0.2630 km/s
  Zc     =  44.13248 +/- 0.7783 deg
  Zg     =  44.56233 +/- 0.7866 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  57.08490 +/- 0.9569 deg
  Bg     = +24.30602 +/- 0.3394 deg
  Vh     =  33.30612 +/- 0.2868 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  68.52251 +/- 2.0636 deg
  Bh     = +44.96854 +/- 0.7016 deg
  Vh_x   =  -8.62759 +/- 0.6482 km/s
  Vh_y   = -21.92767 +/- 0.6261 km/s
  Vh_z   = -23.53805 +/- 0.3464 km/s
Orbit:
  La Sun = 137.381096 +/- nan deg
  a      =   1.384153 +/- 0.0405 AU
  e      =   0.363373 +/- 0.0231
  i      = 133.036454 +/- 0.4113 deg
  peri   = 120.620815 +/- 5.4587 deg
  node   = 137.379077 +/- 0.0000 deg
  Pi     = 257.999892 +/- 5.4588 deg
  q      =   0.881190 +/- 0.0215 AU
  f      =  59.374447 +/- 5.4587 deg
  M      =  28.484535 +/- 2.9739 deg
  Q      =   1.887117 +/- 0.0800 AU
  n      =   0.605241 +/- 0.0271 deg/day
  T      =   1.628460 +/- 0.0711 years
  Last perihelion JD = 2459389.512610 (2021-06-24 00:18:09.519377) +/- 3.6695 days
  Tj     =   3.104091 +/- 0.1172
Shower association:
  IAU No.  =  547
  IAU code =  KAP

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.735953e-04, -2.953491e-04, -1.513889e-02, -9.954591e-09, -7.710894e-04, +9.040985e-05
q   , -2.953491e-04, +4.998888e-04, +7.679604e-02, +1.352749e-08, +2.125901e-03, -1.230669e-04
Tp  , -1.513889e-02, +7.679604e-02, +1.415948e+01, +1.940843e-06, +3.644372e-01, -1.767635e-02
node, -9.954591e-09, +1.352749e-08, +1.940843e-06, +6.907015e-13, +5.530864e-08, -6.265461e-09
peri, -7.710894e-04, +2.125901e-03, +3.644372e-01, +5.530864e-08, +9.647402e-03, -5.034826e-04
i   , +9.040985e-05, -1.230669e-04, -1.767635e-02, -6.265461e-09, -5.034826e-04, +5.683842e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 2.080535
 a2 = 22.152996

Mean time residuals from time vs. length:
  Station with reference time: UK001K
  Avg. res. = 3.054e-06 s
  Stddev    = 1.75e-03 s

Begin point on the trajectory:
  Lon =    -4.212198 +/- 0.0005 deg
  Lat =    50.108106 +/- 0.0008 deg
  Ht  = 99592.03 +/- 67.58 m
End point on the trajectory:
  Lon =    -4.349509 +/- 0.0013 deg
  Lat =    50.080260 +/- 0.0009 deg
  Ht  = 88891.26 +/- 86.16 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
    UK001K,   False,    -3.557111,    51.483925,   37.50, 100.022913,   0.000000,    99592.03,    91141.27,          0.011853,     38.12,      8.90,              85.44, 1.0000,    True,    True, {"ff_name": "FF_UK001K_20210810_014752_161_0476672.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   2.960851,  20.893388,    96758.45,    88891.26,          0.010889,     24.78,     17.76,              90.37, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210810_014757_104_0489216.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,     UK001K,       0,  0.000000, 2459436.575003958773, 327.55869,  -6.15815,              197.06255,  31.00215,       197.04610,       30.99219,    327.55869,      -6.15815,     327.57079,       -6.17052,  3948743.03, -1316913.98,  4946962.33,      50.108106,       -4.212198,   99592.03,  189386.40,       0.00,               39.86,    -1.26,      0.00,           59885.01,    -12.98,     55.55,          62.13,  +3.68,  +2.29
  1,     UK001K,       0,  0.040436, 2459436.575004426762, 327.16551,  -6.54539,              197.42572,  30.54905,       197.41698,       30.54377,    327.16551,      -6.54539,     327.17213,       -6.55199,  3947847.98, -1317882.12,  4945719.40,      50.104735,       -4.228908,   98290.36,  189296.73,    1811.99,             1851.85,  -544.70,  44811.21,           59885.01,     -6.91,     29.59,          33.11,  +2.06,  +0.67
  2,     UK001K,       0,  0.081160, 2459436.575004898012, 326.50911,  -7.19165,              198.02291,  29.79024,       198.02653,       29.79242,    326.50911,      -7.19165,     326.50677,       -7.18891,  3946353.72, -1319498.38,  4943644.38,      50.099097,       -4.256703,   96117.83,  189183.84,    4837.02,             4876.88,   108.13,  74281.28,           59885.01,      2.87,    -12.28,          13.75,  +2.37,  +0.99
  3,     UK001K,       0,  0.121700, 2459436.575005367398, 326.01649,  -7.67223,              198.46467,  29.22301,       198.47631,       29.22999,    326.01649,      -7.67223,     326.00836,       -7.66336,  3945240.02, -1320703.02,  4942097.83,      50.094889,       -4.277470,   94499.02,  189132.11,    7091.64,             7131.50,     1.26,  55614.71,           59885.01,      9.24,    -39.63,          44.37,  +1.21,  -0.17
  4,     UK001K,       0,  0.162228, 2459436.575005836319, 325.53047,  -8.13970,              198.89594,  28.66817,       198.91204,       28.67780,    325.53047,      -8.13970,     325.51917,       -8.12739,  3944149.91, -1321882.13,  4940584.04,      50.090765,       -4.297806,   92914.85,  189107.73,    9298.49,             9338.35,  -152.67,  54452.59,           58853.79,     12.82,    -54.95,          61.55,  +1.53,  +0.15
  5,     UK001K,       0,  0.202808, 2459436.575006306171, 324.97044,  -8.64738,              199.39290,  28.05705,       199.39415,       28.05780,    324.97044,      -8.64738,     324.97035,       -8.64641,  3942929.17, -1323202.54,  4938888.84,      50.086139,       -4.320567,   91141.27,  189110.80,   11769.80,            11809.66,   -45.18,  60899.69,           58851.25,      1.00,     -4.30,           4.81,  +4.53,  +3.15
  0,     UK0024,       1,  0.026233, 2459436.575004207902, 306.87189,   7.45725,              227.10220,  37.38629,       227.05538,       37.37421,    306.87189,      +7.45725,     306.89950,       +7.42923,  3947839.86, -1317890.90,  4945708.13,      50.104704,       -4.228979,   98278.57,  159724.05,       0.00,             1868.27,   299.08,      0.00,           55252.07,    -63.56,     88.60,         140.82,  +5.72,  +4.70
  1,     UK0024,       0,  0.066889, 2459436.575004678220, 306.34405,   6.90436,              227.35894,  36.65286,       227.35115,       36.65085,    306.34405,      +6.90436,     306.34893,       +6.89966,  3946794.38, -1319021.74,  4944256.31,      50.100761,       -4.248476,   96758.45,  159831.64,    2116.52,             3984.79,    47.35,  52059.18,           55252.07,    -10.67,     14.89,          23.63,  +3.36,  +2.34
  2,     UK0024,       0,  0.107633, 2459436.575005149934, 305.73842,   6.28873,              227.66047,  35.82715,       227.67868,       35.83184,    305.73842,      +6.28873,     305.72795,       +6.29980,  3945609.60, -1320303.26,  4942611.05,      50.096286,       -4.270556,   95036.18,  159986.64,    4515.03,             6383.30,    72.49,  58867.86,           55252.07,     25.18,    -35.17,          55.77,  +2.16,  +1.14
  3,     UK0024,       0,  0.148313, 2459436.575005620718, 305.15856,   5.76114,              227.98074,  35.09037,       227.97041,       35.08771,    305.15856,      +5.76114,     305.16540,       +5.75481,  3944532.28, -1321468.54,  4941115.02,      50.092212,       -4.290654,   93470.48,  160159.47,    6696.00,             8564.27,  -116.18,  53612.76,           55252.07,    -14.43,     20.14,          31.91,  +1.66,  +0.64
  4,     UK0024,       0,  0.189009, 2459436.575006091502, 304.58748,   5.19365,              228.26458,  34.32177,       228.26480,       34.32183,    304.58748,      +5.19365,     304.58812,       +5.19379,  3943421.75, -1322669.74,  4939572.88,      50.088007,       -4.311373,   91856.88,  160368.48,    8944.18,            10812.45,  -238.57,  55243.35,           55207.04,      0.32,     -0.44,           0.70,  +1.40,  +0.37
  5,     UK0024,       0,  0.229717, 2459436.575006562751, 304.00322,   4.62553,              228.55816,  33.54569,       228.55746,       33.54552,    304.00322,      +4.62553,     304.00459,       +4.62510,  3942293.92, -1323889.66,  4938006.70,      50.083730,       -4.332419,   90218.50,  160612.78,   11227.41,            13095.69,  -326.61,  56088.01,           55320.07,     -0.99,      1.38,           2.18,  +1.30,  +0.27
  6,     UK0024,       0,  0.270293, 2459436.575007032603, 303.51896,   4.17859,              228.81203,  32.92296,       228.79074,       32.91750,    303.51896,      +4.17859,     303.53323,       +4.16528,  3941380.09, -1324878.10,  4936737.70,      50.080260,       -4.349509,   88891.26,  160835.79,   13077.40,            14945.67,  -840.21,  45593.20,           54321.62,    -30.58,     42.64,          67.28,  +3.46,  +2.43

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.