Orbital Analysis for matched events on 20210929_193213.765_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 323.73° Bg 38.39° Vg 12.22km/s
mass 0.02626g, abs. mag 2.2
Path Details
------------
start -4.34° 50.66° 80.45km
end   -4.35° 50.67° 76.85km

Orbit Details
-------------
Semimajor axis 2.58A.U., eccentricity 0.63, inclination 11.83°, Period 4.15Y, LA Sun 186.58°, last Perihelion 2017-08-28

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: 2459487.314048210159
Time: 2021-09-29 19:32:13.765358 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK0024
 Convergence angle = 17.22731 deg
 R.A. = 308.44532  Dec = +27.62312 deg

Best intersection: Stations UK0020 and UK0024 with Qconv = 17.23 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1894121.62 +/- 72.02 m
 Y =  -3639015.31 +/- 159.50 m
 Z =   4971931.75 +/- 87.56 m
 Vx =     9874.87 +/- 992.93 m/s
 Vy =   -11002.68 +/- 124.04 m/s
 Vz =     7374.69 +/- 388.83 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.272747e+03, +9.570222e+03, -4.994337e+03, +2.429590e+04, +3.895769e+04, -2.301214e+04
+9.570222e+03, +2.851846e+04, -1.592464e+04, +3.710986e+04, +7.574192e+04, -5.177419e+04
-4.994337e+03, -1.592464e+04, +9.173018e+03, -1.844914e+04, -3.939640e+04, +2.866259e+04
+2.429590e+04, +3.710986e+04, -1.844914e+04, +2.508095e+05, +3.327931e+05, -1.587740e+05
+3.895769e+04, +7.574192e+04, -3.939640e+04, +3.327931e+05, +5.072195e+05, -2.599033e+05
-2.301214e+04, -5.177419e+04, +2.866259e+04, -1.587740e+05, -2.599033e+05, +1.504908e+05

Timing offsets (from input data):
    UK0020: 0.000000 s
    UK0024: -0.000049 s

Reference point on the trajectory:
  Time: 2021-09-29 19:32:13.765358 UTC
  Lon     = +-4.337785 +/- 0.0018 deg
  Lat     = +50.659629 +/- 0.0003 deg
  Lat geo = +50.473184 +/- 0.0003 deg
  Ht      =   80505.31 +/- 141.41 m

  JD dynamic   = 2459487.314848951064 
  LST apparent = 297.4971525922 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 311.90785 +/- 3.2616 deg
  Dec       = +26.51108 +/- 0.7012 deg
  Azimuth   = 150.10251 +/- 6.4846 deg
  Elevation = +63.46219 +/- 1.3847 deg
  Vavg      =  15.44065 +/- 0.6139 km/s
  Vinit     =  16.52144 +/- 0.4705 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 313.02498 +/- 3.2616 deg
  Dec       = +26.39196 +/- 0.7012 deg
  Azimuth   = 148.13013 +/- 6.4846 deg
  Elevation = +62.98769 +/- 1.3847 deg
  Vavg      =  15.50984 +/- 0.6139 km/s
  Vinit     =  16.59063 +/- 0.4705 km/s
Radiant (geocentric, J2000):
  R.A.   = 313.21867 +/- 3.6351 deg
  Dec    = +22.66492 +/- 1.0432 deg
  Vg     =  12.21830 +/- 0.6178 km/s
  Vinf   =  16.52144 +/- 0.4705 km/s
  Zc     =  26.37632 +/- 1.3919 deg
  Zg     =  30.39521 +/- 1.8078 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 323.72731 +/- 3.7906 deg
  Bg     = +38.39087 +/- 2.0166 deg
  Vh     =  37.78682 +/- 0.6059 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 288.27184 +/- 0.7606 deg
  Bh     = +11.58748 +/- 0.9221 deg
  Vh_x   = -11.60569 +/- 0.3640 km/s
  Vh_y   =  35.15030 +/- 0.5662 km/s
  Vh_z   =  -7.59001 +/- 0.7403 km/s
Orbit:
  La Sun = 186.575656 +/- 0.0000 deg
  a      =   2.582242 +/- 0.5781 AU
  e      =   0.631940 +/- 0.0486
  i      =  11.826030 +/- 0.9091 deg
  peri   = 209.764725 +/- 2.9029 deg
  node   = 186.582989 +/- 0.0005 deg
  Pi     =  36.347715 +/- 2.9033 deg
  q      =   0.950419 +/- 0.0074 AU
  f      = 330.227170 +/- 2.9033 deg
  M      = 354.608268 +/- 1.2423 deg
  Q      =   4.214065 +/- 1.1494 AU
  n      =   0.237525 +/- 0.0435 deg/day
  T      =   4.149503 +/- 1.6002 years
  Last perihelion JD = 2457994.382302 (2017-08-28 21:10:30.867590) +/- 586.6669 days
  Tj     =   3.084074 +/- 0.2593
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.019532e-03, +2.891634e-04, -2.276840e+01, -3.805195e-07, -2.031425e-03, +6.790415e-04
q   , +2.891634e-04, +4.997266e-05, -3.269809e+00, -5.475169e-08, -3.380018e-04, +9.780107e-05
Tp  , -2.276840e+01, -3.269809e+00, +2.649753e+05, +4.130188e-03, +2.293812e+01, -7.447267e+00
node, -3.805195e-07, -5.475169e-08, +4.130188e-03, +7.691773e-11, +3.844260e-07, -1.354026e-07
peri, -2.031425e-03, -3.380018e-04, +2.293812e+01, +3.844260e-07, +2.302932e-03, -6.863728e-04
i   , +6.790415e-04, +9.780107e-05, -7.447267e+00, -1.354026e-07, -6.863728e-04, +2.392815e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 2.504419
 a2 = 18.571500

Mean time residuals from time vs. length:
  Station with reference time: UK0020
  Avg. res. = 3.212e-06 s
  Stddev    = 1.79e-03 s

Begin point on the trajectory:
  Lon =    -4.337985 +/- 0.0018 deg
  Lat =    50.659851 +/- 0.0004 deg
  Ht  = 80447.67 +/- 149.05 m
End point on the trajectory:
  Lon =    -4.351593 +/- 0.0021 deg
  Lat =    50.673698 +/- 0.0003 deg
  Ht  = 76846.63 +/- 115.62 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
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.354718,  27.346989,    80447.67,    77087.06,          0.027169,     19.60,     42.17,              48.67, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210929_193207_396_0095488.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   3.513975,  16.994134,    80154.61,    76846.63,          0.011687,      5.58,     25.60,              58.52, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210929_193209_323_0099072.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,     UK0020,       0,  0.000000, 2459487.314048210159, 250.48935,  37.05578,              266.82517,  53.67341,       266.79711,       53.66364,    250.48935,     +37.05578,     250.49235,      +37.03664,  1894083.11, -3638972.40,  4971902.99,      50.659851,       -4.337985,   80447.67,   99513.41,       0.00,               64.43,   -33.23,      0.00,           16768.31,     30.37,     14.14,          69.43,  +2.31,  +2.32
  1,     UK0020,       0,  0.040272, 2459487.314048676286, 250.08981,  36.97598,              267.04627,  53.37198,       267.07102,       53.38058,    250.08981,     +36.97598,     250.08723,      +36.99293,  1893663.51, -3638504.88,  4971589.63,      50.662265,       -4.340337,   79819.60,   99093.37,     702.02,              766.46,     3.44,  17432.07,           16768.31,    -26.80,    -12.45,          61.51,  +1.61,  +1.63
  2,     UK0020,       0,  0.080540, 2459487.314049142413, 249.69420,  36.95260,              267.33787,  53.10739,       267.33287,       53.10565,    249.69420,     +36.95260,     249.69511,      +36.94916,  1893260.50, -3638055.84,  4971288.65,      50.664584,       -4.342604,   79216.37,   98693.26,    1376.29,             1440.73,    12.42,  16744.53,           16768.31,      5.42,      2.52,          12.49,  +1.22,  +1.25
  3,     UK0020,       0,  0.120792, 2459487.314049608074, 249.32250,  36.85696,              267.51384,  52.81370,       267.58394,       52.83797,    249.32250,     +36.85696,     249.31463,      +36.90532,  1892872.29, -3637623.30,  4970998.73,      50.666818,       -4.344794,   78635.29,   98310.96,    2025.79,             2090.23,    -3.10,  16135.83,           16768.31,    -75.99,    -35.25,         175.74,  +1.14,  +1.18
  4,     UK0020,       0,  0.161032, 2459487.314050073735, 248.97153,  36.84867,              267.78655,  52.58647,       267.80899,       52.59423,    248.97153,     +36.84867,     248.96945,      +36.86420,  1892522.86, -3637233.96,  4970737.78,      50.668829,       -4.346782,   78112.25,   97969.99,    2610.41,             2674.84,   -83.30,  14528.32,           16256.56,    -24.33,    -11.30,          56.48,  +1.25,  +1.29
  5,     UK0020,       0,  0.201320, 2459487.314050540328, 248.55645,  36.81925,              268.08186,  52.30570,       268.07476,       52.30325,    248.55645,     +36.81925,     248.55820,      +36.81432,  1892108.17, -3636771.90,  4970428.08,      50.671217,       -4.349111,   77491.52,   97567.02,    3304.23,             3368.67,   -55.10,  17221.55,           16248.23,      7.70,      3.58,          17.96,  +2.34,  +2.39
  6,     UK0020,       0,  0.241512, 2459487.314051005524, 248.27791,  36.82210,              268.30824,  52.13108,       268.24737,       52.11011,    248.27791,     +36.82210,     248.28678,      +36.77971,  1891837.98, -3636470.85,  4970226.29,      50.672773,       -4.350687,   77087.06,   97308.76,    3756.28,             3820.71,  -267.08,  11247.22,           15710.41,     65.98,     30.74,         154.29,  +3.54,  +3.60
  0,     UK0024,       0,  0.016755, 2459487.314048404805, 243.32289,  21.17963,              256.74754,  37.80775,       256.73453,       37.80203,    243.32289,     +21.17963,     243.32721,      +21.16855,  1893887.32, -3638754.25,  4971756.77,      50.660977,       -4.339075,   80154.61,  129325.80,       0.00,              392.00,    17.51,      0.00,           16408.31,     25.94,      5.66,          42.34,  +3.22,  +2.66
  1,     UK0024,       0,  0.056963, 2459487.314048870467, 243.06447,  21.09304,              256.90465,  37.58384,       256.89128,       37.57796,    243.06447,     +21.09304,     243.06911,      +21.08163,  1893502.97, -3638326.01,  4971469.74,      50.663189,       -4.341243,   79579.32,  129036.57,     643.04,             1035.04,    -3.74,  15992.77,           16408.31,     26.67,      5.82,          43.63,  +2.87,  +2.32
  2,     UK0024,       0,  0.097183, 2459487.314049335662, 242.80008,  20.99584,              257.05791,  37.34817,       257.05256,       37.34582,    242.80008,     +20.99584,     242.80226,      +20.99127,  1893106.78, -3637884.57,  4971173.85,      50.665469,       -4.343474,   78986.28,  128740.83,    1305.90,             1697.91,    -5.37,  16480.97,           16408.31,     10.67,      2.33,          17.50,  +2.24,  +1.69
  3,     UK0024,       0,  0.137403, 2459487.314049801324, 242.52838,  20.90283,              257.22074,  37.11105,       257.21595,       37.10895,    242.52838,     +20.90283,     242.53055,      +20.89873,  1892704.68, -3637436.54,  4970873.56,      50.667783,       -4.345736,   78384.40,  128443.36,    1978.65,             2370.66,     2.89,  16726.81,           16408.31,      9.56,      2.09,          15.72,  +2.17,  +1.63
  4,     UK0024,       0,  0.177599, 2459487.314050266519, 242.30499,  20.79761,              257.33067,  36.89438,       257.35544,       36.90524,    242.30499,     +20.79761,     242.29744,      +20.81883,  1892361.43, -3637054.09,  4970617.22,      50.669759,       -4.347693,   77870.61,  128193.03,    2552.94,             2944.94,   -86.93,  14287.04,           16018.54,    -49.37,    -10.76,          81.30,  +2.79,  +2.25
  5,     UK0024,       0,  0.217787, 2459487.314050731715, 242.06313,  20.72956,              257.48723,  36.69423,       257.49633,       36.69822,    242.06313,     +20.72956,     242.06097,      +20.73737,  1892014.18, -3636667.18,  4970357.88,      50.671758,       -4.349670,   77350.82,  127941.82,    3133.91,             3525.92,  -169.91,  14456.46,           15684.15,    -18.15,     -3.96,          29.94,  +4.04,  +3.50
  6,     UK0024,       0,  0.257975, 2459487.314051196910, 241.83238,  20.65113,              257.62519,  36.49304,       257.63284,       36.49638,    241.83238,     +20.65113,     241.83087,      +20.65770,  1891677.35, -3636291.88,  4970106.34,      50.673698,       -4.351593,   76846.63,  127700.49,    3697.45,             4089.45,  -270.34,  14022.50,           15386.75,    -15.24,     -3.32,          25.19,  +5.46,  +4.93

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.