Orbital Analysis for matched events on 20211103_224625.273_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 61.25° Bg 10.34° Vg 33.55km/s
mass 0.01046g, abs. mag 1.7
best visual mag 1.8
Path Details
------------
start -2.77° 52.90° 95.49km
end   -2.85° 52.93° 86.07km

Orbit Details
-------------
Semimajor axis 2.19A.U., eccentricity 0.90, inclination 17.71°, Period 3.24Y, LA Sun 221.44°, last Perihelion 2018-09-17

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: 2459522.448903634213
Time: 2021-11-03 22:46:25.273996 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK003T
 Convergence angle = 23.09303 deg
 R.A. =  57.30533  Dec = +31.08773 deg

Best intersection: Stations UK002H and UK003T with Qconv = 23.09 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3621745.26 +/- 29.23 m
 Y =   1481026.18 +/- 12.84 m
 Z =   5140317.80 +/- 10.23 m
 Vx =    16726.35 +/- 163.87 m/s
 Vy =    25161.41 +/- 150.28 m/s
 Vz =    18338.85 +/- 69.42 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.591385e+02, -1.103066e+02, +2.609732e+02, +3.792635e+03, -3.564674e+01, +1.107119e+03
-1.103066e+02, +1.697324e+02, +3.240435e+01, -1.117317e+03, +4.419972e+01, -4.569916e+02
+2.609732e+02, +3.240435e+01, +1.160784e+02, +8.341072e+02, -3.218763e+01, +2.712437e+02
+3.792635e+03, -1.117317e+03, +8.341072e+02, +2.859078e+04, -1.475433e+03, +9.288131e+03
-3.564674e+01, +4.419972e+01, -3.218763e+01, -1.475433e+03, +2.171085e+02, -6.210414e+02
+1.107119e+03, -4.569916e+02, +2.712437e+02, +9.288131e+03, -6.210414e+02, +3.469104e+03

Timing offsets (from input data):
    UK002H: 0.000100 s
    UK003T: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 22:46:25.273996 UTC
  Lon     = +-2.772275 +/- 0.0003 deg
  Lat     = +52.903827 +/- 0.0001 deg
  Lat geo = +52.721252 +/- 0.0001 deg
  Ht      =   95509.69 +/- 22.99 m

  JD dynamic   = 2459522.449704375118 
  LST apparent = 22.2409343617 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  56.38555 +/- 0.2677 deg
  Dec       = +31.25655 +/- 0.0342 deg
  Azimuth   = 117.64831 +/- 0.3207 deg
  Elevation = +57.20286 +/- 0.1515 deg
  Vavg      =  34.85457 +/- 0.0966 km/s
  Vinit     =  35.34375 +/- 0.0990 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  56.83100 +/- 0.2677 deg
  Dec       = +31.12160 +/- 0.0342 deg
  Azimuth   = 117.25722 +/- 0.3207 deg
  Elevation = +56.85917 +/- 0.1515 deg
  Vavg      =  34.99236 +/- 0.0966 km/s
  Vinit     =  35.48154 +/- 0.0990 km/s
Radiant (geocentric, J2000):
  R.A.   =  56.68442 +/- 0.2762 deg
  Dec    = +30.50886 +/- 0.0367 deg
  Vg     =  33.55266 +/- 0.1044 km/s
  Vinf   =  35.34375 +/- 0.0990 km/s
  Zc     =  32.71277 +/- 0.1523 deg
  Zg     =  33.58706 +/- 0.1619 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.24846 +/- 0.2332 deg
  Bg     = +10.33594 +/- 0.0730 deg
  Vh     =  37.19089 +/- 0.1709 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  10.53053 +/- 0.0216 deg
  Bh     =  +9.31525 +/- 0.0541 deg
  Vh_x   = -36.08232 +/- 0.1631 km/s
  Vh_y   =  -6.70735 +/- 0.0228 km/s
  Vh_z   =  -6.01996 +/- 0.0590 km/s
Orbit:
  La Sun = 221.436971 +/- 0.0000 deg
  a      =   2.187443 +/- 0.0624 AU
  e      =   0.895239 +/- 0.0022
  i      =  17.711504 +/- 0.0934 deg
  peri   = 308.899380 +/- 0.5012 deg
  node   = 221.435545 +/- 0.0000 deg
  Pi     = 170.334924 +/- 0.5012 deg
  q      =   0.229158 +/- 0.0022 AU
  f      = 231.102175 +/- 0.5012 deg
  M      = 348.250806 +/- 0.5851 deg
  Q      =   4.145727 +/- 0.1227 AU
  n      =   0.304649 +/- 0.0146 deg/day
  T      =   3.235234 +/- 0.1356 years
  Last perihelion JD = 2458379.326470 (2018-09-17 19:50:06.974182) +/- 49.5835 days
  Tj     =   2.929533 +/- 0.0714
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.153188e-06, +5.079831e-06, -1.174934e-01, +1.427725e-08, -1.179140e-03, +1.584468e-04
q   , +5.079831e-06, +5.093370e-06, -1.165782e-01, +1.477218e-08, -1.175788e-03, +1.640416e-04
Tp  , -1.174934e-01, -1.165782e-01, +2.688136e+03, -3.267068e-04, +2.699812e+01, -3.626846e+00
node, +1.427725e-08, +1.477218e-08, -3.267068e-04, +7.110838e-11, -3.385488e-06, +7.905211e-07
peri, -1.179140e-03, -1.175788e-03, +2.699812e+01, -3.385488e-06, +2.719193e-01, -3.758719e-02
i   , +1.584468e-04, +1.640416e-04, -3.626846e+00, +7.905211e-07, -3.758719e-02, +8.788718e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.446218
 a2 = 19.794779

Mean time residuals from time vs. length:
  Station with reference time: UK003T
  Avg. res. = 1.991e-06 s
  Stddev    = 1.41e-03 s

Begin point on the trajectory:
  Lon =    -2.772403 +/- 0.0002 deg
  Lat =    52.903867 +/- 0.0001 deg
  Ht  = 95494.39 +/- 19.63 m
End point on the trajectory:
  Lon =    -2.852708 +/- 0.0003 deg
  Lat =    52.928833 +/- 0.0001 deg
  Ht  = 86069.80 +/- 20.02 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   2.829846,  12.966842,    94687.95,    87581.88,          0.002309,      4.33,      0.61,              43.54, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20211103_224625_164_0503808.fits"}
    UK003T,   False,    -1.740490,    53.069201,  240.00,   0.026174,  28.281306,    95494.39,    86069.80,          0.009177,     16.62,      8.48,              65.00, 1.0000,    True,    True, {"ff_name": "FF_UK003T_20211103_224616_242_0504832.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,     UK002H,       0,  0.033227, 2459522.448904017918,   8.51421,  22.90780,              204.80948,  57.70426,       204.80982,       57.70449,      8.51421,     +22.90780,       8.51423,      +22.90807,  3621282.63,  1480330.25,  5139810.57,      52.906002,       -2.779283,   94687.95,  111668.34,       0.00,              977.56,  -225.49,      0.00,           36711.28,      0.08,     -0.57,           1.06,  +4.93,  +4.69
  1,     UK002H,       0,  0.113587, 2459522.448904947843,   7.36516,  22.47593,              206.47208,  56.99305,       206.47748,       56.99668,      7.36516,     +22.47593,       7.36371,      +22.48025,  3619783.94,  1478075.78,  5138167.41,      52.913051,       -2.801889,   92026.20,  109382.78,    3166.81,             4144.37,   101.09,  39407.80,           36711.28,      1.24,     -8.82,          16.80,  +3.04,  +2.85
  2,     UK002H,       0,  0.153739, 2459522.448905412573,   6.87278,  22.29366,              207.17141,  56.68616,       207.17276,       56.68706,      6.87278,     +22.29366,       6.87294,      +22.29473,  3619161.61,  1477139.60,  5137485.07,      52.915978,       -2.811312,   90921.00,  108447.34,    4481.85,             5459.41,    -2.99,  32751.52,           36711.28,      0.31,     -2.18,           4.19,  +2.25,  +2.07
  3,     UK002H,       0,  0.193911, 2459522.448905877303,   6.33376,  22.08789,              207.92383,  56.34105,       207.92483,       56.34170,      6.33376,     +22.08789,       6.33421,      +22.08867,  3618488.05,  1476126.38,  5136746.59,      52.919147,       -2.821502,   89724.92,  107443.78,    5905.11,             6882.66,     0.44,  35429.03,           36711.28,      0.22,     -1.59,           3.07,  +1.89,  +1.73
  4,     UK002H,       0,  0.234095, 2459522.448906342499,   5.76782,  21.86681,              208.70017,  55.97042,       208.70339,       55.97250,      5.76782,     +21.86681,       5.76764,      +21.86935,  3617790.61,  1475077.21,  5135981.90,      52.922428,       -2.832053,   88486.50,  106414.75,    7378.85,             8356.41,    53.93,  36674.91,           36469.20,      0.71,     -5.06,           9.91,  +1.79,  +1.65
  5,     UK002H,       0,  0.274231, 2459522.448906807229,   5.34543,  21.70439,              209.27385,  55.69399,       209.27464,       55.69449,      5.34543,     +21.70439,       5.34629,      +21.70501,  3617281.14,  1474310.82,  5135423.32,      52.924825,       -2.839809,   87581.88,  105670.61,    8455.39,             9432.95,  -288.09,  26822.33,           35279.75,      0.17,     -1.23,           2.42,  +3.03,  +2.91
  6,     UK002H,       1,  0.314419, 2459522.448907272425,   4.70134,  21.47731,              210.14871,  55.28829,       210.11952,       55.26986,      4.70134,     +21.47731,       4.71320,      +21.45451,  3616523.10,  1473170.51,  5134592.20,      52.928392,       -2.851272,   86236.04,  104572.80,   10057.16,            11034.72,  -106.71,  39856.96,           35196.47,     -6.35,     44.85,          89.35,  +3.06,  +2.96
  0,     UK003T,       0,  0.000000, 2459522.448903634213, 338.69078,  32.88768,              255.55448,  52.50600,       255.54300,       52.50287,    338.69078,     +32.88768,     338.69419,      +32.88058,  3621736.65,  1481013.23,  5140308.36,      52.903867,       -2.772403,   95494.39,  119548.83,       0.00,               18.19,   -10.50,      0.00,           36568.37,     -7.27,     14.24,          27.58,  +4.27,  +3.88
  1,     UK003T,       0,  0.040408, 2459522.448904101737, 338.11528,  32.67903,              255.88859,  52.02039,       255.89307,       52.02162,    338.11528,     +32.67903,     338.11409,      +32.68183,  3621166.44,  1480155.47,  5139683.18,      52.906548,       -2.781039,   94481.57,  119036.72,    1204.89,             1223.08,  -233.78,  29818.05,           36568.37,      2.85,     -5.59,          10.87,  +4.28,  +3.90
  2,     UK003T,       0,  0.080972, 2459522.448904571589, 337.30759,  32.40338,              256.37379,  51.35024,       256.36905,       51.34895,    337.30759,     +32.40338,     337.30940,      +32.40040,  3620377.55,  1478968.75,  5138818.24,      52.910259,       -2.792929,   93080.44,  118342.35,    2871.85,             2890.04,    -0.51,  41094.63,           36568.37,     -3.03,      5.93,          11.61,  +2.91,  +2.54
  3,     UK003T,       0,  0.121496, 2459522.448905040510, 336.58011,  32.13007,              256.78036,  50.72756,       256.79298,       50.73098,    336.58011,     +32.13007,     336.57660,      +32.13806,  3619663.13,  1477894.04,  5138034.95,      52.913619,       -2.803719,   91811.64,  117731.13,    4381.47,             4399.66,    76.84,  37252.42,           36568.37,      8.12,    -15.90,          31.28,  +2.53,  +2.18
  4,     UK003T,       0,  0.161940, 2459522.448905508500, 335.94181,  31.90442,              257.15068,  50.19067,       257.15320,       50.19135,    335.94181,     +31.90442,     335.94167,      +31.90603,  3619047.26,  1476967.59,  5137359.70,      52.916516,       -2.813048,   90717.94,  117218.33,    5682.83,             5701.03,   -51.24,  32177.02,           35910.66,      1.63,     -3.19,           6.31,  +2.18,  +1.84
  5,     UK003T,       0,  0.202448, 2459522.448905977421, 335.23089,  31.63550,              257.54221,  49.57913,       257.55002,       49.58124,    335.23089,     +31.63550,     335.22913,      +31.64052,  3618358.21,  1475931.05,  5136604.22,      52.919758,       -2.823471,   89494.35,  116658.42,    7138.85,             7157.04,   -26.93,  35943.81,           35727.36,      5.08,     -9.96,          19.77,  +2.01,  +1.68
  6,     UK003T,       0,  0.242980, 2459522.448906446341, 334.49569,  31.34033,              257.92745,  48.93341,       257.95513,       48.94087,    334.49569,     +31.34033,     334.48728,      +31.35825,  3617643.32,  1474855.65,  5135820.42,      52.923121,       -2.834284,   88224.99,  116093.83,    8649.43,             8667.63,    51.11,  37268.99,           35827.22,     18.09,    -35.47,          70.74,  +2.13,  +1.81
  7,     UK003T,       0,  0.283420, 2459522.448906914331, 333.87107,  31.10485,              258.26962,  48.39518,       258.28836,       48.40022,    333.87107,     +31.10485,     333.86575,      +31.11706,  3617047.00,  1473958.60,  5135166.60,      52.925927,       -2.843336,   87166.18,  115637.16,    9909.51,             9927.70,  -118.12,  31159.13,           35480.41,     12.31,    -24.13,          48.32,  +2.38,  +2.06
  8,     UK003T,       0,  0.323880, 2459522.448907382786, 333.22025,  30.86023,              258.62561,  47.83422,       258.62865,       47.83503,    333.22025,     +30.86023,     333.22053,      +30.86222,  3616429.47,  1473029.65,  5134489.54,      52.928833,       -2.852708,   86069.80,  115176.73,   11214.38,            11232.57,  -243.26,  32250.91,           35103.45,      2.00,     -3.93,           7.90,  +4.35,  +4.04

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.