Orbital Analysis for matched events on 20210816_001004.276_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 343.58° Bg 49.91° Vg 26.92km/s
mass 0.00864g, abs. mag 1.8
Path Details
------------
start -3.80° 50.96° 88.09km
end   -3.80° 50.96° 83.45km

Orbit Details
-------------
Semimajor axis 1.74A.U., eccentricity 0.60, inclination 41.42°, Period 2.30Y, LA Sun 143.08°, last Perihelion 2019-06-16

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: 2459442.506993936375
Time: 2021-08-16 00:10:04.307203 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK0024
 Convergence angle = 42.79506 deg
 R.A. = 323.77809  Dec = +39.28827 deg

Best intersection: Stations UK0020 and UK0024 with Qconv = 42.80 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3273682.75 +/- 20.15 m
 Y =  -2437288.00 +/- 35.97 m
 Z =   4998957.45 +/- 54.09 m
 Vx =    17907.82 +/- 553.76 m/s
 Vy =   -13546.43 +/- 86.60 m/s
 Vz =    18542.71 +/- 520.37 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.606286e+02, -2.090332e+02, +3.581981e+02, +1.251951e+02, -2.404890e+03, +3.970672e+03
-2.090332e+02, +1.301656e+03, -1.785625e+03, -2.524210e+02, +1.167572e+04, -1.315396e+04
+3.581981e+02, -1.785625e+03, +2.839311e+03, +4.023816e+02, -1.785362e+04, +2.357827e+04
+1.251951e+02, -2.524210e+02, +4.023816e+02, +2.421006e+02, -2.747064e+03, +4.286654e+03
-2.404890e+03, +1.167572e+04, -1.785362e+04, -2.747064e+03, +1.239018e+05, -1.628752e+05
+3.970672e+03, -1.315396e+04, +2.357827e+04, +4.286654e+03, -1.628752e+05, +2.579533e+05

Timing offsets (from input data):
    UK0020: 0.000000 s
    UK0024: -0.000424 s

Reference point on the trajectory:
  Time: 2021-08-16 00:10:04.307203 UTC
  Lon     = +-3.799861 +/- 0.0003 deg
  Lat     = +50.956291 +/- 0.0001 deg
  Lat geo = +50.770456 +/- 0.0001 deg
  Ht      =   88111.87 +/- 62.42 m

  JD dynamic   = 2459442.507795037236 
  LST apparent = 323.3319652909 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 322.89419 +/- 0.5932 deg
  Dec       = +39.54981 +/- 0.5691 deg
  Azimuth   = 181.70647 +/- 2.4568 deg
  Elevation = +78.58942 +/- 0.5478 deg
  Vavg      =  28.02988 +/- 0.4433 km/s
  Vinit     =  29.12092 +/- 0.4677 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 323.65361 +/- 0.5932 deg
  Dec       = +39.55019 +/- 0.5691 deg
  Azimuth   = 178.74606 +/- 2.4568 deg
  Elevation = +78.59168 +/- 0.5478 deg
  Vavg      =  28.02965 +/- 0.4433 km/s
  Vinit     =  29.12069 +/- 0.4677 km/s
Radiant (geocentric, J2000):
  R.A.   = 322.66207 +/- 0.6093 deg
  Dec    = +39.01113 +/- 0.6050 deg
  Vg     =  26.91655 +/- 0.5051 km/s
  Vinf   =  29.12092 +/- 0.4677 km/s
  Zc     =  11.22483 +/- 0.5474 deg
  Zg     =  11.66781 +/- 0.5818 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 343.58342 +/- 0.4540 deg
  Bg     = +49.90580 +/- 0.7110 deg
  Vh     =  35.25658 +/- 0.4166 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 268.45442 +/- 0.1329 deg
  Bh     = +35.73444 +/- 0.7370 deg
  Vh_x   =   0.77192 +/- 0.0651 km/s
  Vh_y   =  28.60850 +/- 0.1513 km/s
  Vh_z   = -20.59087 +/- 0.6011 km/s
Orbit:
  La Sun = 143.076936 +/- -0.0000 deg
  a      =   1.742810 +/- 0.1167 AU
  e      =   0.598024 +/- 0.0178
  i      =  41.424126 +/- 0.8032 deg
  peri   = 259.832656 +/- 2.5336 deg
  node   = 143.081633 +/- 0.0001 deg
  Pi     =  42.914289 +/- 2.5337 deg
  q      =   0.700567 +/- 0.0114 AU
  f      = 280.161966 +/- 2.5337 deg
  M      = 338.921851 +/- 2.2558 deg
  Q      =   2.785052 +/- 0.2223 AU
  n      =   0.428380 +/- 0.0364 deg/day
  T      =   2.300783 +/- 0.2398 years
  Last perihelion JD = 2458651.336640 (2019-06-16 20:04:45.702950) +/- 88.8901 days
  Tj     =   3.681690 +/- 0.1730
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.083984e-04, +2.433195e-04, -2.063295e+00, -3.473672e-08, -9.667790e-04, +2.499737e-04
q   , +2.433195e-04, +1.500108e-04, -1.233327e+00, -2.228159e-08, -5.902031e-04, +1.601288e-04
Tp  , -2.063295e+00, -1.233327e+00, +1.048135e+04, +1.778937e-04, +4.888906e+00, -1.281394e+00
node, -3.473672e-08, -2.228159e-08, +1.778937e-04, +3.503960e-12, +8.655522e-08, -2.517179e-08
peri, -9.667790e-04, -5.902031e-04, +4.888906e+00, +8.655522e-08, +2.329480e-03, -6.220862e-04
i   , +2.499737e-04, +1.601288e-04, -1.281394e+00, -2.517179e-08, -6.220862e-04, +1.808876e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000000
 a2 = 153.663990

Mean time residuals from time vs. length:
  Station with reference time: UK0020
  Avg. res. = 6.171e-08 s
  Stddev    = 2.48e-04 s

Begin point on the trajectory:
  Lon =    -3.799859 +/- 0.0003 deg
  Lat =    50.956339 +/- 0.0001 deg
  Ht  = 88085.51 +/- 49.23 m
End point on the trajectory:
  Lon =    -3.800113 +/- 0.0003 deg
  Lat =    50.964636 +/- 0.0002 deg
  Ht  = 83450.14 +/- 45.62 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,   0.000000,   0.000000,    88085.51,    83554.43,          0.013998,     21.36,      7.66,              32.10, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210816_000954_860_0359680.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.001146,  71.729062,    87778.01,    83450.14,          0.014037,     12.30,     22.32,              37.52, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210816_001002_368_0362496.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, 2459442.506994296331, 291.79496,  66.17567,              325.84639,  67.70551,       325.86292,       67.70693,    291.79496,     +66.17567,     291.80542,      +66.18052,  3273666.21, -2437275.49,  4998940.32,      50.956339,       -3.799859,   88085.51,   95075.07,       0.00,               26.90,    27.85,      0.00,           29234.86,     -3.60,    -10.04,          23.15,  +2.06,  +2.17
  1,     UK0020,       0,  0.040276, 2459442.506994762458, 291.16241,  66.41914,              326.09459,  67.36649,       326.04733,       67.36243,    291.16241,     +66.41914,     291.13235,      +66.40496,  3272998.03, -2436770.04,  4998248.46,      50.958244,       -3.799937,   87020.42,   94156.68,    1086.56,             1113.46,   -58.46,  26977.88,           29234.86,     10.33,     28.83,          67.09,  +1.36,  +1.49
  2,     UK0020,       0,  0.080632, 2459442.506995229516, 290.28178,  66.67081,              326.25039,  66.93924,       326.26923,       66.94086,    290.28178,     +66.67081,     290.29429,      +66.67663,  3272196.79, -2436163.94,  4997418.81,      50.960530,       -3.799998,   85743.22,   93059.64,    2389.51,             2416.40,    69.28,  32286.28,           29234.86,     -4.15,    -11.55,          27.20,  +1.40,  +1.56
  3,     UK0020,       0,  0.120932, 2459442.506995696109, 289.58051,  66.92243,              326.49938,  66.57869,       326.45305,       66.57472,    289.58051,     +66.92243,     289.55077,      +66.90779,  3271517.38, -2435650.00,  4996715.31,      50.962469,       -3.800075,   84660.21,   92133.99,    3494.33,             3521.23,     0.54,  27415.08,           29234.86,     10.23,     28.52,          67.83,  +1.87,  +2.05
  4,     UK0020,       0,  0.161252, 2459442.506996162701, 288.78207,  67.15545,              326.67164,  66.19587,       326.63922,       66.19309,    288.78207,     +67.15545,     288.76141,      +67.14495,  3270823.69, -2435125.25,  4995997.03,      50.964449,       -3.800150,   83554.43,   91192.93,    4622.38,             4649.28,   -45.57,  27977.38,           28903.18,      7.20,     20.04,          48.16,  +3.48,  +3.68
  0,     UK0024,       0,  0.011747, 2459442.506994218566, 272.54726,  43.66728,              278.75670,  54.98048,       278.74070,       54.97733,    272.54726,     +43.66728,     272.54991,      +43.65776,  3273473.30, -2437129.56,  4998740.58,      50.956889,       -3.799805,   87778.01,  106735.83,       0.00,              340.59,    -0.55,      0.00,           29114.33,     15.84,      8.73,          34.96,  +2.35,  +2.21
  1,     UK0024,       0,  0.052051, 2459442.506994685158, 272.02404,  43.58778,              278.97173,  54.61388,       278.95334,       54.61026,    272.02404,     +43.58778,     272.02737,      +43.57677,  3272756.70, -2436587.49,  4997998.57,      50.958932,       -3.799877,   86635.74,  105817.86,    1165.30,             1505.90,    -8.93,  28912.81,           29114.33,     18.19,     10.03,          40.49,  +1.71,  +1.59
  2,     UK0024,       0,  0.092375, 2459442.506995151751, 271.46428,  43.49261,              279.18751,  54.21647,       279.17830,       54.21466,    271.46428,     +43.49261,     271.46626,      +43.48706,  3271998.21, -2436013.72,  4997213.19,      50.961096,       -3.799943,   85426.67,  104851.16,    2398.73,             2739.32,    50.22,  30587.95,           29114.33,      9.10,      5.01,          20.44,  +1.73,  +1.63
  3,     UK0024,       0,  0.132675, 2459442.506995618343, 270.95571,  43.40514,              279.38295,  53.85481,       279.37897,       53.85403,    270.95571,     +43.40514,     270.95693,      +43.40272,  3271320.42, -2435501.01,  4996511.37,      50.963031,       -3.800021,   84346.25,  103992.81,    3500.92,             3841.52,   -21.16,  27349.66,           29114.33,      3.93,      2.17,           8.91,  +2.89,  +2.80
  4,     UK0024,       0,  0.172915, 2459442.506996084005, 270.51940,  43.35562,              279.58803,  53.55769,       279.54497,       53.54924,    270.51940,     +43.35562,     270.52831,      +43.32935,  3270758.27, -2435075.77,  4995929.29,      50.964636,       -3.800113,   83450.14,  103285.57,    4415.06,             4755.66,  -278.84,  22717.27,           27709.87,     42.54,     23.45,          97.00,  +4.87,  +4.80

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.