Orbital Analysis for matched events on 20211103_200726.448_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 289.07° Bg 66.49° Vg 9.96km/s
mass 0.03154g, abs. mag 1.8
best visual mag 1.5
Path Details
------------
start -1.32° 50.81° 79.76km
end   -1.29° 50.81° 77.25km

Orbit Details
-------------
Semimajor axis 1.56A.U., eccentricity 0.37, inclination 15.16°, Period 1.96Y, LA Sun 221.33°, last Perihelion 2021-10-29

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: 2459522.338500561193
Time: 2021-11-03 20:07:26.448487 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK003M
 Convergence angle = 32.97017 deg
 R.A. = 292.78231  Dec = +49.01135 deg

Best intersection: Stations UK0001 and UK003M with Qconv = 32.97 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3927230.16 +/- 40.53 m
 Y =  -1137718.72 +/- 16.25 m
 Z =   4982153.98 +/- 30.72 m
 Vx =     3385.50 +/- 258.38 m/s
 Vy =    -9544.28 +/- 123.58 m/s
 Vz =    10971.86 +/- 221.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.891961e+03, +5.598794e+01, +1.145502e+03, +1.024191e+04, +3.103237e+03, +6.126110e+03
+5.598794e+01, +2.456350e+02, +3.728080e+01, +1.013214e+03, +1.039781e+03, +1.420265e+03
+1.145502e+03, +3.728080e+01, +1.196894e+03, +8.002048e+03, +4.260780e+03, +6.919476e+03
+1.024191e+04, +1.013214e+03, +8.002048e+03, +8.293731e+04, +3.119178e+04, +5.599152e+04
+3.103237e+03, +1.039781e+03, +4.260780e+03, +3.119178e+04, +2.236963e+04, +3.341778e+04
+6.126110e+03, +1.420265e+03, +6.919476e+03, +5.599152e+04, +3.341778e+04, +5.217774e+04

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK003M: 0.000452 s

Reference point on the trajectory:
  Time: 2021-11-03 20:07:26.448487 UTC
  Lon     = +-1.315590 +/- 0.0003 deg
  Lat     = +50.811540 +/- 0.0002 deg
  Lat geo = +50.625269 +/- 0.0002 deg
  Ht      =   79727.04 +/- 45.42 m

  JD dynamic   = 2459522.339301302098 
  LST apparent = 343.8436956656 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 289.53036 +/- 1.6190 deg
  Dec       = +47.29323 +/- 0.6967 deg
  Azimuth   = 285.97080 +/- 0.8398 deg
  Elevation = +55.04020 +/- 1.1952 deg
  Vavg      =  14.73639 +/- 0.1581 km/s
  Vinit     =  14.93106 +/- 0.1388 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 290.53841 +/- 1.6190 deg
  Dec       = +47.97924 +/- 0.6967 deg
  Azimuth   = 286.53922 +/- 0.8398 deg
  Elevation = +55.95031 +/- 1.1952 deg
  Vavg      =  14.57424 +/- 0.1581 km/s
  Vinit     =  14.76891 +/- 0.1388 km/s
Radiant (geocentric, J2000):
  R.A.   = 280.39357 +/- 1.9688 deg
  Dec    = +43.73636 +/- 1.0015 deg
  Vg     =   9.96238 +/- 0.2047 km/s
  Vinf   =  14.93106 +/- 0.1388 km/s
  Zc     =  35.01146 +/- 1.1947 deg
  Zg     =  42.21605 +/- 1.6192 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 289.07058 +/- 4.0708 deg
  Bg     = +66.48736 +/- 0.7402 deg
  Vh     =  34.94765 +/- 0.1469 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 309.50785 +/- 0.4540 deg
  Bh     = +15.15297 +/- 0.3347 deg
  Vh_x   = -21.46012 +/- 0.2503 km/s
  Vh_y   =  26.02594 +/- 0.1462 km/s
  Vh_z   =  -9.13521 +/- 0.2259 km/s
Orbit:
  La Sun = 221.326336 +/- 0.0000 deg
  a      =   1.563646 +/- 0.0293 AU
  e      =   0.366737 +/- 0.0112
  i      =  15.160243 +/- 0.3325 deg
  peri   = 173.456829 +/- 1.6828 deg
  node   = 221.325135 +/- 0.0000 deg
  Pi     =  34.781964 +/- 1.6828 deg
  q      =   0.990200 +/- 0.0005 AU
  f      =   6.543661 +/- 1.6828 deg
  M      =   2.823980 +/- 0.7551 deg
  Q      =   2.137093 +/- 0.0582 AU
  n      =   0.504077 +/- 0.0136 deg/day
  T      =   1.955277 +/- 0.0554 years
  Last perihelion JD = 2459516.737015 (2021-10-29 05:41:18.106789) +/- 1.4476 days
  Tj     =   4.312687 +/- 0.0573
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.462853e-04, +6.136314e-06, +1.603324e-02, +9.354013e-08, +1.857069e-02, +3.045339e-03
q   , +6.136314e-06, +3.806210e-07, +9.678512e-04, +6.618172e-09, +1.124304e-03, +2.154091e-04
Tp  , +1.603324e-02, +9.678512e-04, +2.518988e+00, +1.718653e-05, +2.927068e+00, +5.608836e-01
node, +9.354013e-08, +6.618172e-09, +1.718653e-05, +1.230983e-10, +1.999345e-05, +4.018421e-06
peri, +1.857069e-02, +1.124304e-03, +2.927068e+00, +1.999345e-05, +3.401374e+00, +6.525088e-01
i   , +3.045339e-03, +2.154091e-04, +5.608836e-01, +4.018421e-06, +6.525088e-01, +1.312268e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.005873
 a2 = 47.451114

Mean time residuals from time vs. length:
  Station with reference time: UK0001
  Avg. res. = 7.327e-06 s
  Stddev    = 2.71e-03 s

Begin point on the trajectory:
  Lon =    -1.315892 +/- 0.0002 deg
  Lat =    50.811595 +/- 0.0002 deg
  Ht  = 79759.10 +/- 43.78 m
End point on the trajectory:
  Lon =    -1.293121 +/- 0.0003 deg
  Lat =    50.807311 +/- 0.0001 deg
  Ht  = 77253.12 +/- 42.69 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   1.204766,  16.972714,    79759.10,    77253.12,          0.012592,     16.33,      9.25,              53.36, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20211103_200722_518_0261632.fits"}
    UK003M,   False,    -1.801740,    51.352050,  131.00,   0.010000,  46.404832,    79194.60,    77313.12,          0.014424,     23.44,     12.09,              66.02, 1.0000,    True,    True, {"ff_name": "FF_UK003M_20211103_200719_595_0261632.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,     UK0001,       0,  0.000000, 2459522.338500561193,  14.71612,  42.71759,               98.70151,  67.26142,        98.72621,       67.26221,     14.71612,     +42.71759,      14.70836,      +42.70990,  3927239.03, -1137743.72,  4982182.72,      50.811595,       -1.315892,   79759.10,   86359.59,       0.00,               39.12,   -30.47,      0.00,           15919.23,      7.12,     12.56,          34.48,  +3.43,  +3.75
  1,     UK0001,       0,  0.040288, 2459522.338501027320,  15.10964,  42.49777,               98.78548,  66.89930,        98.80658,       66.89996,     15.10964,     +42.49777,      15.10306,      +42.49113,  3927089.07, -1137320.97,  4981696.74,      50.810669,       -1.310955,   79217.10,   85999.45,     661.35,              622.23,   -48.90,  16415.52,           15919.23,      6.15,     10.85,          29.90,  +1.99,  +2.32
  2,     UK0001,       0,  0.080580, 2459522.338501493912,  15.49290,  42.24876,               98.93345,  66.52680,        98.88710,       66.52534,     15.49290,     +42.24876,      15.50834,      +42.26353,  3926935.38, -1136887.69,  4981198.66,      50.809719,       -1.305890,   78661.60,   85634.06,    1339.17,             1300.05,    27.32,  16822.74,           15919.23,    -13.64,    -24.08,          66.66,  +1.61,  +1.95
  3,     UK0001,       0,  0.120836, 2459522.338501959573,  15.83985,  42.06027,               98.98194,  66.20851,        98.95424,       66.20764,     15.83985,     +42.06027,      15.84951,      +42.06918,  3926805.62, -1136521.87,  4980778.11,      50.808918,       -1.301639,   78192.59,   85327.70,    1911.46,             1872.35,    -1.45,  14216.38,           15919.23,     -8.23,    -14.52,          40.35,  +1.53,  +1.87
  4,     UK0001,       0,  0.161112, 2459522.338502425700,  16.21283,  41.86515,               99.01267,  65.86964,        99.02352,       65.86999,     16.21283,     +41.86515,      16.20986,      +41.86162,  3926668.88, -1136136.39,  4980334.98,      50.808072,       -1.297150,   77698.39,   85008.01,    2514.51,             2475.39,     0.23,  14972.75,           15589.87,      3.25,      5.74,          16.02,  +2.04,  +2.39
  5,     UK0001,       0,  0.201360, 2459522.338502891827,  16.54735,  41.68635,               99.04324,  65.56297,        99.08515,       65.56430,     16.54735,     +41.68635,      16.53392,      +41.67261,  3926545.69, -1135789.09,  4979935.73,      50.807311,       -1.293121,   77253.12,   84722.05,    3057.83,             3018.71,   -57.40,  13499.25,           15197.33,     12.68,     22.37,          62.59,  +3.09,  +3.45
  6,     UK0001,       1,  0.241620, 2459522.338503357489,  16.87829,  41.45705,               99.17320,  65.22988,        99.15065,       65.22917,     16.87829,     +41.45705,      16.88709,      +41.46451,  3926411.84, -1135411.75,  4979501.95,      50.806483,       -1.288730,   76769.35,   84414.56,    3648.13,             3609.02,   -68.22,  14662.38,           14999.78,     -6.88,    -12.14,          34.10,  +5.25,  +5.62
  0,     UK003M,       0,  0.038881, 2459522.338501019869,   3.28616,  12.84731,              150.05996,  48.25320,       150.07329,       48.24899,      3.28616,     +12.84731,       3.27908,      +12.84049,  3927082.85, -1137303.42,  4981676.56,      50.810630,       -1.310740,   79194.60,  105463.04,       0.00,              649.69,    -0.43,      0.00,           14755.42,      8.29,     16.07,          35.36,  +5.34,  +5.22
  1,     UK003M,       0,  0.079065, 2459522.338501485065,   3.50154,  12.61688,              149.87252,  47.96760,       149.87941,       47.96543,      3.50154,     +12.61688,       3.49811,      +12.61335,  3926942.30, -1136907.20,  4981221.08,      50.809762,       -1.306122,   78686.61,  105244.76,     619.85,             1269.54,    19.42,  15425.19,           14755.42,      4.29,      8.32,          18.35,  +2.30,  +2.19
  2,     UK003M,       0,  0.119253, 2459522.338501949795,   3.71591,  12.38026,              149.69088,  47.67619,       149.68519,       47.67799,      3.71591,     +12.38026,       3.71953,      +12.38319,  3926800.59, -1136507.70,  4980761.82,      50.808887,       -1.301464,   78174.43,  105027.87,    1244.83,             1894.52,    44.35,  15551.39,           14755.42,     -3.55,     -6.89,          15.22,  +1.88,  +1.77
  3,     UK003M,       0,  0.159401, 2459522.338502414525,   3.90386,  12.19023,              149.52441,  47.43699,       149.52512,       47.43677,      3.90386,     +12.19023,       3.90415,      +12.18987,  3926682.05, -1136173.50,  4980377.64,      50.808154,       -1.297594,   77745.96,  104848.22,    1767.64,             2417.33,   -32.28,  13022.24,           14755.42,      0.44,      0.86,           1.90,  +2.85,  +2.75
  4,     UK003M,       0,  0.199573, 2459522.338502879720,   4.06811,  11.97301,              149.40433,  47.17941,       149.36428,       47.19201,      4.06811,     +11.97301,       4.09107,      +11.99377,  3926562.29, -1135835.89,  4979989.54,      50.807413,       -1.293683,   77313.12,  104669.04,    2295.79,             2945.49,  -103.94,  13147.27,           14287.13,    -25.11,    -48.70,         107.98,  +5.73,  +5.63

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.