Orbital Analysis for matched events on 20210816_015433.588_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.99° Bg 37.03° Vg 58.94km/s
mass 0.07327g, abs. mag -2.0
Path Details
------------
start -0.08° 48.59° 107.89km
end   -0.22° 48.53° 89.89km

Orbit Details
-------------
Semimajor axis 6.09A.U., eccentricity 0.84, inclination 115.53°, Period 15.03Y, LA Sun 143.15°, last Perihelion 2021-07-29

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: 2459442.579555421602
Time: 2021-08-16 01:54:33.588426 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK0038
 Convergence angle = 11.02843 deg
 R.A. =  47.62936  Dec = +55.48913 deg

Best intersection: Stations UK000F and UK0038 with Qconv = 11.03 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4267958.54 +/- 347.24 m
 Y =   -505809.26 +/- 89.32 m
 Z =   4841676.56 +/- 121.47 m
 Vx =    21724.87 +/- 1390.76 m/s
 Vy =    24637.04 +/- 373.16 m/s
 Vz =    50176.33 +/- 995.99 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.202048e+05, +2.723630e+04, -3.517905e+04, +4.246110e+05, +9.764259e+04, -1.450800e+05
+2.723630e+04, +7.968696e+03, -6.343767e+03, +1.004035e+05, +2.849088e+04, -3.673154e+04
-3.517905e+04, -6.343767e+03, +1.512324e+04, -1.218230e+05, -2.820623e+04, +4.142544e+04
+4.246110e+05, +1.004035e+05, -1.218230e+05, +1.970239e+06, +4.459536e+05, -6.944058e+05
+9.764259e+04, +2.849088e+04, -2.820623e+04, +4.459536e+05, +1.287573e+05, -1.679039e+05
-1.450800e+05, -3.673154e+04, +4.142544e+04, -6.944058e+05, -1.679039e+05, +2.498925e+05

Timing offsets (from input data):
    UK000F: -0.000261 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 01:54:33.588426 UTC
  Lon     = +-0.084131 +/- 0.0017 deg
  Lat     = +48.593203 +/- 0.0028 deg
  Lat geo = +48.405394 +/- 0.0028 deg
  Ht      =  107838.17 +/- 154.93 m

  JD dynamic   = 2459442.580356162507 
  LST apparent = 353.2412214858 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.59425 +/- 1.3057 deg
  Dec       = +56.78964 +/- 1.2163 deg
  Azimuth   =  54.63340 +/- 2.4951 deg
  Elevation = +56.45759 +/- 0.5036 deg
  Vavg      =  59.50097 +/- 0.2203 km/s
  Vinit     =  59.97181 +/- 0.3050 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.90261 +/- 1.3057 deg
  Dec       = +56.58365 +/- 1.2163 deg
  Azimuth   =  54.94464 +/- 2.4951 deg
  Elevation = +56.25417 +/- 0.5036 deg
  Vavg      =  59.64284 +/- 0.2203 km/s
  Vinit     =  60.11368 +/- 0.3050 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.72134 +/- 1.3260 deg
  Dec    = +56.65826 +/- 1.2218 deg
  Vg     =  58.93627 +/- 0.3103 km/s
  Vinf   =  59.97181 +/- 0.3050 km/s
  Zc     =  33.65142 +/- 0.5102 deg
  Zg     =  33.95321 +/- 0.5177 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.98723 +/- 1.3886 deg
  Bg     = +37.02674 +/- 0.8981 deg
  Vh     =  40.07987 +/- 0.2229 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  77.59994 +/- 3.7679 deg
  Bh     = +62.31324 +/- 1.1569 deg
  Vh_x   =  -3.99895 +/- 1.4079 km/s
  Vh_y   = -18.18818 +/- 0.1558 km/s
  Vh_z   = -35.49077 +/- 0.5857 km/s
Orbit:
  La Sun = 143.146665 +/- nan deg
  a      =   6.089637 +/- 0.5039 AU
  e      =   0.840441 +/- 0.0212
  i      = 115.531421 +/- 1.5942 deg
  peri   = 155.685423 +/- 3.1970 deg
  node   = 143.146533 +/- 0.0001 deg
  Pi     = 298.831956 +/- 3.1969 deg
  q      =   0.971653 +/- 0.0081 AU
  f      =  24.311013 +/- 3.1971 deg
  M      =   1.174346 +/- 0.1120 deg
  Q      =  11.207620 +/- 1.0152 AU
  n      =   0.065587 +/- 0.0132 deg/day
  T      =  15.027533 +/- 1.7054 years
  Last perihelion JD = 2459424.675166 (2021-07-29 04:12:14.328854) +/- 2.2526 days
  Tj     =   0.349309 +/- 0.0775
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.597295e-04, -1.643630e-04, -4.339606e-02, +4.182941e-08, -1.090333e-03, -5.772033e-04
q   , -1.643630e-04, +6.621343e-05, +1.784244e-02, -1.578577e-08, +4.451361e-04, +2.173465e-04
Tp  , -4.339606e-02, +1.784244e-02, +4.929514e+00, -4.311950e-06, +1.223935e-01, +5.917614e-02
node, +4.182941e-08, -1.578577e-08, -4.311950e-06, +4.034313e-12, -1.075270e-07, -5.543951e-08
peri, -1.090333e-03, +4.451361e-04, +1.223935e-01, -1.075270e-07, +3.041913e-03, +1.476596e-03
i   , -5.772033e-04, +2.173465e-04, +5.917614e-02, -5.543951e-08, +1.476596e-03, +7.621736e-04

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

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 1.478e-05 s
  Stddev    = 3.84e-03 s

Begin point on the trajectory:
  Lon =    -0.083727 +/- 0.0016 deg
  Lat =    48.593393 +/- 0.0028 deg
  Ht  = 107894.20 +/- 143.72 m
End point on the trajectory:
  Lon =    -0.215277 +/- 0.0013 deg
  Lat =    48.532023 +/- 0.0024 deg
  Ht  = 89889.56 +/- 101.32 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   103272.58,    93336.50,          0.003924,     20.99,     16.94,              84.87, 1.0000,    True,   False, {"ff_name": "FF_UK000F_20210816_015431_663_0521472.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   107894.20,    89889.56,          0.013460,     55.45,     65.92,              76.67, 1.0000,    True,   False, {"ff_name": "FF_UK0038_20210816_015426_247_0519680.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,     UK000F,       0,  0.092043, 2459442.579556468409,   6.31068, -23.60542,              166.54985,  13.47791,       166.55096,       13.47855,      6.31068,     -23.60542,       6.30940,      -23.60496,  4265973.94,  -508059.90,  4837092.87,      48.577693,       -0.117431,  103272.58,  394059.79,       0.00,             5478.51,   113.34,      0.00,           58484.13,     -5.46,     -6.76,           4.55,  +2.35,  -0.63
  1,     UK000F,       0,  0.132247, 2459442.579556933604,   6.17452, -23.92329,              166.72726,  13.18334,       166.73115,       13.18559,      6.17452,     -23.92329,       6.17021,      -23.92166,  4265124.96,  -509022.68,  4835132.04,      48.571049,       -0.131690,  101319.89,  393979.14,    2343.63,             7822.14,    45.86,  58293.33,           58484.13,    -19.02,    -23.55,          15.85,  +1.78,  -1.20
  2,     UK000F,       0,  0.172447, 2459442.579557398800,   6.02328, -24.23996,              166.91740,  12.89174,       166.91293,       12.88917,      6.02328,     -24.23996,       6.02877,      -24.24183,  4264266.67,  -509996.02,  4833149.71,      48.564326,       -0.146109,   99346.05,  393911.85,    4712.95,            10191.46,     4.31,  58938.39,           58484.13,     21.87,     27.09,          18.23,  +1.46,  -1.52
  3,     UK000F,       0,  0.212647, 2459442.579557864461,   5.88642, -24.55663,              167.09317,  12.59777,       167.09168,       12.59691,      5.88642,     -24.55663,       5.88865,      -24.55725,  4263421.03,  -510955.01,  4831196.62,      48.557696,       -0.160323,   97401.55,  393859.50,    7047.33,            12525.85,   -72.17,  58069.25,           58484.13,      7.27,      9.00,           6.06,  +1.21,  -1.77
  4,     UK000F,       0,  0.252859, 2459442.579558329657,   5.73149, -24.89060,              167.28717,  12.28882,       167.28148,       12.28554,      5.73149,     -24.89060,       5.73876,      -24.89300,  4262520.70,  -511976.03,  4829117.18,      48.550631,       -0.175450,   95331.54,  393819.19,    9532.72,            15011.23,     1.63,  61807.00,           59122.53,     27.86,     34.52,          23.23,  +0.69,  -2.29
  5,     UK000F,       0,  0.293067, 2459442.579558794852,   5.59374, -25.21697,              167.46310,  11.98467,       167.46409,       11.98524,      5.59374,     -25.21697,       5.59343,      -25.21655,  4261652.86,  -512960.21,  4827112.79,      48.543815,       -0.190043,   93336.50,  393795.16,   11928.41,            17406.92,   -14.03,  59582.41,           59370.62,     -4.86,     -6.02,           4.05,  +1.02,  -1.96
  0,     UK0038,       0,  0.000000, 2459442.579555421602,  20.48995, -18.55834,              150.98980,  15.44863,       150.97788,       15.44092,     20.48995,     -18.55834,      20.50365,      -18.56198,  4267982.89,  -505781.65,  4841732.79,      48.593393,       -0.083727,  107894.20,  368117.01,       0.00,               67.22,   222.01,      0.00,           56687.35,     68.01,     57.20,          49.79,  +3.60,  +0.77
  1,     UK0038,       0,  0.040252, 2459442.579555887263,  20.41231, -18.90789,              151.17757,  15.14077,       151.18514,       15.14566,     20.41231,     -18.90789,      20.40313,      -18.90557,  4267140.08,  -506737.44,  4839786.22,      48.586811,       -0.097873,  105955.13,  367672.58,    2326.58,             2259.37,     0.17,  57800.47,           56687.35,    -43.22,    -36.33,          31.67,  +2.17,  -0.66
  2,     UK0038,       0,  0.080484, 2459442.579556352925,  20.28792, -19.24429,              151.40352,  14.85906,       151.39121,       14.85111,     20.28792,     -19.24429,      20.30250,      -19.24807,  4266301.80,  -507688.08,  4837850.12,      48.580258,       -0.111948,  104026.74,  367244.67,    4640.66,             4573.44,   -98.54,  57518.20,           56687.35,     70.17,     59.03,          51.51,  +1.83,  -0.99
  3,     UK0038,       0,  0.120708, 2459442.579556818586,  20.18204, -19.56672,              151.60678,  14.58468,       151.58632,       14.57146,     20.18204,     -19.56672,      20.20654,      -19.57302,  4265508.18,  -508588.09,  4836017.15,      48.574049,       -0.125287,  102201.28,  366852.32,    6831.46,             6764.24,  -320.04,  54465.07,           56687.35,    116.66,     98.18,          85.73,  +1.51,  -1.31
  4,     UK0038,       0,  0.160996, 2459442.579557284713,  20.06589, -19.97214,              151.84548,  14.23416,       151.82813,       14.22296,     20.06589,     -19.97214,      20.08691,      -19.97749,  4264522.30,  -509706.13,  4833740.13,      48.566329,       -0.141823,   99933.90,  366383.96,    9553.00,             9485.79,   -14.64,  67552.25,           58668.67,     98.85,     83.18,          72.73,  +1.01,  -1.81
  5,     UK0038,       0,  0.201288, 2459442.579557751305,  19.98132, -20.37747,              152.05391,  13.87400,       152.06463,       13.88091,     19.98132,     -20.37747,      19.96894,      -20.37416,  4263557.67,  -510800.05,  4831512.21,      48.558768,       -0.158012,   97715.75,  365944.67,   12215.86,            12148.64,   231.83,  66088.86,           60295.77,    -61.07,    -51.33,          44.97,  +0.94,  -1.88
  6,     UK0038,       0,  0.241508, 2459442.579558216967,  19.87824, -20.69620,              152.25054,  13.60119,       152.25555,       13.60442,     19.87824,     -20.69620,      19.87285,      -20.69465,  4262779.95,  -511682.03,  4829715.97,      48.552666,       -0.171101,   95927.58,  365603.26,   14362.77,            14295.55,   -33.33,  53379.13,           60135.99,    -28.54,    -24.00,          21.04,  +0.76,  -2.06
  7,     UK0038,       0,  0.281772, 2459442.579558682628,  19.74813, -21.07951,              152.49151,  13.27443,       152.48512,       13.27032,     19.74813,     -21.07951,      19.75663,      -21.08150,  4261842.74,  -512744.87,  4827551.36,      48.545307,       -0.186846,   93773.00,  365209.34,   16949.95,            16882.74,   139.15,  64255.60,           60412.80,     36.39,     30.61,          26.86,  +0.50,  -2.31
  8,     UK0038,       0,  0.322044, 2459442.579559148755,  19.65159, -21.46494,              152.70142,  12.93553,       152.71044,       12.94134,     19.65159,     -21.46494,      19.64164,      -21.46212,  4260922.40,  -513788.58,  4825425.71,      48.538074,       -0.202315,   91657.50,  364839.93,   19490.57,            19423.36,   264.58,  63086.47,           60720.31,    -51.39,    -43.20,          37.96,  +0.65,  -2.16
  9,     UK0038,       0,  0.362264, 2459442.579559614416,  19.54602, -21.78147,              152.89686,  12.66443,       152.89896,       12.66577,     19.54602,     -21.78147,      19.54461,      -21.78081,  4260153.18,  -514660.92,  4823649.09,      48.532023,       -0.215277,   89889.56,  364543.68,   21614.02,            21546.80,   -24.03,  52795.83,           60444.99,    -11.93,    -10.03,           8.82,  +0.69,  -2.12

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.