Orbital Analysis for matched events on 20211015_044752.346_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 123.31° Bg 6.62° Vg 68.21km/s
mass 0.01340g, abs. mag -0.2
best visual mag 0.5
Path Details
------------
start -1.14° 52.53° 114.88km
end   -1.26° 52.58° 101.42km

Orbit Details
-------------
Semimajor axis 4.18A.U., eccentricity 0.79, inclination 167.86°, Period 8.53Y, LA Sun 201.76°, last Perihelion 2021-09-15

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: 2459502.699911416974
Time: 2021-10-15 04:47:52.346427 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK002Z
 Convergence angle = 66.72482 deg
 R.A. = 127.89376  Dec = +26.05489 deg

Best intersection: Stations UK002H and UK002Z with Qconv = 66.72 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -329077.60 +/- 112.12 m
 Y =   3944656.41 +/- 177.85 m
 Z =   5130213.35 +/- 102.14 m
 Vx =   -37812.55 +/- 302.58 m/s
 Vy =    49299.89 +/- 898.26 m/s
 Vz =    30262.63 +/- 739.72 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.061300e+04, -1.542365e+04, -8.323615e+03, +1.788819e+04, -3.648174e+04, -1.755569e+04
-1.542365e+04, +3.264135e+04, +1.523293e+04, -1.521516e+03, +5.261168e+04, +2.294392e+04
-8.323615e+03, +1.523293e+04, +1.012859e+04, +1.119745e+04, +1.058702e+04, +1.836013e+04
+1.788819e+04, -1.521516e+03, +1.119745e+04, +3.232431e+05, -3.518502e+05, -8.796120e+04
-3.648174e+04, +5.261168e+04, +1.058702e+04, -3.518502e+05, +5.851135e+05, +1.845705e+05
-1.755569e+04, +2.294392e+04, +1.836013e+04, -8.796120e+04, +1.845705e+05, +1.223123e+05

Timing offsets (from input data):
    UK002H: 0.000000 s
    UK002Z: -0.001129 s

Reference point on the trajectory:
  Time: 2021-10-15 04:47:52.346427 UTC
  Lon     = +-1.141849 +/- 0.0014 deg
  Lat     = +52.529691 +/- 0.0009 deg
  Lat geo = +52.347017 +/- 0.0009 deg
  Ht      =  115034.89 +/- 186.59 m

  JD dynamic   = 2459502.700712157879 
  LST apparent = 94.7687802631 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 127.48786 +/- 0.2531 deg
  Dec       = +25.96967 +/- 0.2648 deg
  Azimuth   = 124.49530 +/- 0.3252 deg
  Elevation = +53.87052 +/- 0.2917 deg
  Vavg      =  66.17870 +/- 0.5713 km/s
  Vinit     =  69.10929 +/- 1.0310 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 127.71125 +/- 0.2531 deg
  Dec       = +25.91297 +/- 0.2648 deg
  Azimuth   = 124.26678 +/- 0.3252 deg
  Elevation = +53.71133 +/- 0.2917 deg
  Vavg      =  66.31943 +/- 0.5713 km/s
  Vinit     =  69.25002 +/- 1.0310 km/s
Radiant (geocentric, J2000):
  R.A.   = 127.31370 +/- 0.2551 deg
  Dec    = +25.84222 +/- 0.2639 deg
  Vg     =  68.21341 +/- 1.0441 km/s
  Vinf   =  69.10929 +/- 1.0310 km/s
  Zc     =  36.02629 +/- 0.2917 deg
  Zg     =  36.26939 +/- 0.2918 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 123.31334 +/- 0.2558 deg
  Bg     =  +6.61643 +/- 0.2411 deg
  Vh     =  39.58292 +/- 1.0196 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 131.44712 +/- 0.4865 deg
  Bh     = +11.45432 +/- 0.4797 deg
  Vh_x   =  25.67923 +/- 0.6357 km/s
  Vh_y   = -29.07912 +/- 0.8970 km/s
  Vh_z   =  -7.86064 +/- 0.2475 km/s
Orbit:
  La Sun = 201.759853 +/- 0.0000 deg
  a      =   4.176022 +/- 16.9133 AU
  e      =   0.790745 +/- 0.0812
  i      = 167.855178 +/- 0.5063 deg
  peri   = 136.044517 +/- 2.7860 deg
  node   = 201.761272 +/- 0.0000 deg
  Pi     = 337.805789 +/- 2.7860 deg
  q      =   0.873854 +/- 0.0097 AU
  f      =  43.954824 +/- 2.7860 deg
  M      =   3.442312 +/- nan deg
  Q      =   7.478189 +/- 33.8252 AU
  n      =   0.115494 +/- 0.0487 deg/day
  T      =   8.533845 +/- nan years
  Last perihelion JD = 2459472.895631 (2021-09-15 09:29:42.508376) +/- 2.1020 days
  Tj     =   0.174074 +/- 0.5172
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.198462e-03, +5.215320e-04, +1.372917e-01, -1.655479e-06, +1.673381e-01, +2.609512e-02
q   , +5.215320e-04, +8.330341e-05, +1.724871e-02, -1.114149e-07, +2.296443e-02, +1.785879e-03
Tp  , +1.372917e-01, +1.724871e-02, +4.018827e+00, -3.696639e-05, +5.115310e+00, +5.866495e-01
node, -1.655479e-06, -1.114149e-07, -3.696639e-05, +1.004795e-09, -4.173817e-05, -1.590036e-05
peri, +1.673381e-01, +2.296443e-02, +5.115310e+00, -4.173817e-05, +6.621002e+00, +6.644119e-01
i   , +2.609512e-02, +1.785879e-03, +5.866495e-01, -1.590036e-05, +6.644119e-01, +2.520245e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 4.126387
 a2 = 18.885287

Mean time residuals from time vs. length:
  Station with reference time: UK002H
  Avg. res. = 3.724e-05 s
  Stddev    = 6.10e-03 s

Begin point on the trajectory:
  Lon =    -1.143241 +/- 0.0014 deg
  Lat =    52.530275 +/- 0.0010 deg
  Ht  = 114875.06 +/- 133.79 m
End point on the trajectory:
  Lon =    -1.261895 +/- 0.0012 deg
  Lat =    52.579459 +/- 0.0007 deg
  Ht  = 101417.04 +/- 92.37 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, 133.608448,   0.000000,   114875.06,   101417.04,          0.025842,     58.68,     48.04,              14.48, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20211015_044751_098_0985600.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.001766,  62.243672,   112024.68,   103723.74,          0.011884,      9.98,     32.37,              50.84, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20211015_044742_613_0997376.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,  0.000000, 2459502.699911416974, 124.62208,  11.28905,              137.70076,  41.13365,       137.64227,       41.10367,    124.62208,     +11.28905,     124.67545,      +11.27974,  -328969.33,  3944515.24,  5130126.70,      52.530275,       -1.143241,  114875.06,  172717.48,       0.00,              197.89,  -362.61,      0.00,           73216.54,    101.84,   -124.23,         191.84,  +3.12,  +1.93
  1,     UK002H,       0,  0.040220, 2459502.699911882635, 124.64452,  11.03851,              137.80983,  40.89599,       137.82595,       40.90418,    124.64452,     +11.03851,     124.62982,      +11.04101,  -327439.76,  3942520.99,  5128902.53,      52.538516,       -1.163085,  112617.30,  170012.11,    2795.57,             2993.46,  -346.61,  69506.91,           73216.54,    -27.46,     33.79,          52.83,  +1.63,  +0.48
  2,     UK002H,       0,  0.080460, 2459502.699912348296, 124.56875,  10.76554,              138.04633,  40.67694,       138.03709,       40.67224,    124.56875,     +10.76554,     124.57740,      +10.76409,  -325724.80,  3940285.04,  5127529.99,      52.547760,       -1.185338,  110086.37,  166983.27,    5929.97,             6127.85,     6.83,  77892.61,           73216.54,     15.53,    -19.05,          30.37,  +1.15,  +0.04
  3,     UK002H,       0,  0.120688, 2459502.699912813958, 124.50789,  10.50744,              138.25589,  40.46516,       138.23441,       40.45423,    124.50789,     +10.50744,     124.52794,      +10.50405,  -324168.92,  3938256.49,  5126284.77,      52.556148,       -1.205566,  107790.66,  164238.47,    8773.62,             8971.51,    70.35,  70688.36,           73216.54,     35.64,    -43.63,          70.75,  +1.17,  +0.09
  4,     UK002H,       0,  0.160912, 2459502.699913279153, 124.46845,  10.25571,              138.43562,  40.25041,       138.42340,       40.24421,    124.46845,     +10.25571,     124.48019,      +10.25379,  -322718.91,  3936365.97,  5125124.28,      52.563968,       -1.224448,  105651.52,  161683.29,   11423.78,            11621.66,   -59.34,  65885.00,           71653.55,     19.99,    -24.49,          40.32,  +1.36,  +0.32
  5,     UK002H,       0,  0.201164, 2459502.699913745280, 124.43834,   9.96887,              138.62164,  39.99955,       138.63513,       40.00637,    124.43834,      +9.96887,     124.42665,       +9.97098,  -321133.93,  3934299.47,  5123855.77,      52.572519,       -1.245094,  103313.69,  158894.56,   14320.61,            14518.50,    55.71,  71967.57,           71251.81,    -21.68,     26.63,          44.58,  +1.96,  +0.95
  6,     UK002H,       0,  0.241368, 2459502.699914210476, 124.35064,   9.73932,              138.84440,  39.82359,       138.81212,       39.80721,    124.35064,      +9.73932,     124.38121,       +9.73417,  -319847.85,  3932622.68,  5122826.47,      52.579459,       -1.261895,  101417.04,  156633.70,   16671.16,            16869.05,  -372.21,  58465.56,           69739.42,     51.48,    -62.86,         107.00,  +3.48,  +2.51
  0,     UK002Z,       0,  0.039547, 2459502.699911813717,  76.41031,   7.62780,              205.70687,  41.55214,       205.70988,       41.55462,     76.41031,      +7.62780,      76.40877,       +7.63078,  -327038.23,  3941997.48,  5128581.17,      52.540680,       -1.168228,  112024.68,  167019.07,       0.00,             3727.32,   433.77,      0.00,           65007.43,     -9.33,     -2.87,          12.05,  +2.19,  +1.08
  1,     UK002Z,       0,  0.080127, 2459502.699912283570,  75.80610,   7.30884,              206.36471,  41.08680,       206.37792,       41.09760,     75.80610,      +7.30884,      75.79949,       +7.32190,  -325681.11,  3940228.07,  5127495.02,      52.547995,       -1.185878,  110021.90,  165501.53,    2480.39,             6207.71,   109.70,  61123.34,           65007.43,    -40.54,    -12.48,          52.87,  +0.89,  -0.20
  2,     UK002Z,       0,  0.120711, 2459502.699912752956,  75.18942,   7.00091,              207.03429,  40.62556,       207.04282,       40.63246,     75.18942,      +7.00091,      75.18538,       +7.00931,  -324335.97,  3938474.28,  5126418.46,      52.555248,       -1.203389,  108037.11,  164020.74,    4938.87,             8666.20,  -236.55,  60577.73,           65007.43,    -25.89,     -7.98,          34.07,  +0.52,  -0.55
  3,     UK002Z,       0,  0.161451, 2459502.699913224671,  74.40309,   6.62801,              207.88382,  40.05166,       207.86877,       40.03958,     74.40309,      +6.62801,      74.41134,       +6.61319,  -322669.77,  3936301.90,  5125084.95,      52.564234,       -1.225063,  105579.03,  162218.72,    7984.15,            11711.48,    -6.78,  74749.16,           65007.43,     45.17,     13.94,          60.11,  +0.91,  -0.14
  4,     UK002Z,       0,  0.202027, 2459502.699913694058,  73.81001,   6.31682,              208.50531,  39.58662,       208.49581,       39.57905,     73.81001,      +6.31682,      73.81558,       +6.30747,  -321411.97,  3934661.97,  5124078.29,      52.571019,       -1.241482,  103723.74,  160884.31,   10283.02,            14010.34,  -512.09,  56655.85,           64168.11,     28.26,      8.72,          37.92,  +2.51,  +1.48

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.