Orbital Analysis for matched events on 20211103_233600.969_UK

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Summary for Event
-----------------
shower ID 630 TAR
Lg 56.75° Bg 2.34° Vg 30.91km/s
mass 0.16623g, abs. mag -0.6
best visual mag 0.5
Path Details
------------
start 0.02° 50.38° 82.76km
end   -0.02° 50.43° 71.75km

Orbit Details
-------------
Semimajor axis 2.25A.U., eccentricity 0.87, inclination 3.30°, Period 3.38Y, LA Sun 221.47°, last Perihelion 2018-07-28

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: 2459522.483344552573
Time: 2021-11-03 23:36:00.969342 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK003D
 Convergence angle = 21.87545 deg
 R.A. =  54.58468  Dec = +21.37689 deg

Best intersection: Stations UK000F and UK003D with Qconv = 21.88 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3276534.91 +/- 124.73 m
 Y =   2511511.41 +/- 198.13 m
 Z =   4953500.89 +/- 60.21 m
 Vx =    17891.34 +/- 566.71 m/s
 Vy =    24470.11 +/- 923.55 m/s
 Vz =    12656.24 +/- 933.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.649182e+04, +2.592198e+04, -5.986506e+03, +5.480288e+04, +8.920218e+04, -2.502096e+04
+2.592198e+04, +4.159383e+04, -9.909943e+03, +9.317309e+04, +1.553588e+05, -4.328070e+04
-5.986506e+03, -9.909943e+03, +3.735092e+03, -2.706817e+04, -4.395752e+04, +1.398218e+04
+5.480288e+04, +9.317309e+04, -2.706817e+04, +3.099235e+05, +5.294694e+05, -1.546861e+05
+8.920218e+04, +1.553588e+05, -4.395752e+04, +5.294694e+05, +9.259217e+05, -2.642327e+05
-2.502096e+04, -4.328070e+04, +1.398218e+04, -1.546861e+05, -2.642327e+05, +8.103213e+04

Timing offsets (from input data):
    UK000F: 0.000000 s
    UK003D: -0.000180 s

Reference point on the trajectory:
  Time: 2021-11-03 23:36:00.969342 UTC
  Lon     = ++0.024801 +/- 0.0011 deg
  Lat     = +50.378128 +/- 0.0018 deg
  Lat geo = +50.191396 +/- 0.0018 deg
  Ht      =   82760.56 +/- 106.86 m

  JD dynamic   = 2459522.484145293478 
  LST apparent = 37.4706869403 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.82756 +/- 0.2500 deg
  Dec       = +22.66134 +/- 1.1041 deg
  Azimuth   = 149.22214 +/- 0.4483 deg
  Elevation = +59.47856 +/- 1.1023 deg
  Vavg      =  31.55753 +/- 0.8687 km/s
  Vinit     =  32.84915 +/- 0.8953 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.37201 +/- 0.2500 deg
  Dec       = +22.60359 +/- 1.1041 deg
  Azimuth   = 148.34204 +/- 0.4483 deg
  Elevation = +59.24468 +/- 1.1023 deg
  Vavg      =  31.63704 +/- 0.8687 km/s
  Vinit     =  32.92867 +/- 0.8953 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.87164 +/- 0.2400 deg
  Dec    = +21.70622 +/- 1.0896 deg
  Vg     =  30.91020 +/- 0.9486 km/s
  Vinf   =  32.84915 +/- 0.8953 km/s
  Zc     =  30.36114 +/- 1.1017 deg
  Zg     =  31.30665 +/- 1.0841 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  56.75317 +/- 0.1554 deg
  Bg     =  +2.34115 +/- 1.1016 deg
  Vh     =  37.34709 +/- 0.6399 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   5.54959 +/- 1.0751 deg
  Bh     =  +1.93741 +/- 0.9047 deg
  Vh_x   = -37.15079 +/- 0.5688 km/s
  Vh_y   =  -3.60967 +/- 0.7809 km/s
  Vh_z   =  -1.26262 +/- 0.5885 km/s
Orbit:
  La Sun = 221.471485 +/- 0.0000 deg
  a      =   2.252032 +/- 0.3894 AU
  e      =   0.873528 +/- 0.0187
  i      =   3.300848 +/- 1.4200 deg
  peri   = 301.944898 +/- 45.1262 deg
  node   = 221.459783 +/- 45.1249 deg
  Pi     = 163.404681 +/- 0.3162 deg
  q      =   0.284820 +/- 0.0088 AU
  f      = 238.067216 +/- 0.3162 deg
  M      = 348.267062 +/- 2.1789 deg
  Q      =   4.219244 +/- 0.7873 AU
  n      =   0.291637 +/- 0.0502 deg/day
  T      =   3.379577 +/- 0.9616 years
  Last perihelion JD = 2458328.303378 (2018-07-28 19:16:51.820811) +/- 352.0758 days
  Tj     =   2.950279 +/- 0.2917
Shower association:
  IAU No.  =  630
  IAU code =  TAR

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.701506e-04, -1.712208e-04, -6.887487e+00, -6.844998e-01, +6.866712e-01, -2.751996e-02
q   , -1.712208e-04, +8.369028e-05, +3.170146e+00, +3.466529e-01, -3.483033e-01, +1.248959e-02
Tp  , -6.887487e+00, +3.170146e+00, +1.314200e+05, +1.413887e+04, -1.417738e+04, +5.085462e+02
node, -6.844998e-01, +3.466529e-01, +1.413887e+04, +3.792369e+03, -3.800849e+03, +4.600718e+01
peri, +6.866712e-01, -3.483033e-01, -1.417738e+04, -3.800849e+03, +3.809436e+03, -4.613406e+01
i   , -2.751996e-02, +1.248959e-02, +5.085462e+02, +4.600718e+01, -4.613406e+01, +2.113998e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.686096
 a2 = 14.328992

Mean time residuals from time vs. length:
  Station with reference time: UK000F
  Avg. res. = 4.039e-06 s
  Stddev    = 2.01e-03 s

Begin point on the trajectory:
  Lon =     0.024793 +/- 0.0011 deg
  Lat =    50.378136 +/- 0.0018 deg
  Ht  = 82758.64 +/- 96.32 m
End point on the trajectory:
  Lon =    -0.023132 +/- 0.0014 deg
  Lat =    50.427702 +/- 0.0020 deg
  Ht  = 71751.33 +/- 98.17 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,   1.945307,  13.805711,    82758.64,    71814.10,          0.013457,     34.69,     33.34,              33.24, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20211103_233557_096_0580352.fits"}
    UK003D,   False,    -0.649870,    51.914450,   87.00,   1.636353,  14.526055,    82648.49,    71751.33,          0.016326,     39.51,     37.55,              33.46, 1.0000,    True,    True, {"ff_name": "FF_UK003D_20211103_233558_025_0584448.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,  0.000000, 2459522.483344552573,  63.92075, -11.37850,              150.39452,  22.34402,       150.38667,       22.34378,     63.92075,     -11.37850,      63.92786,      -11.37648,  3276533.70,  2511509.75,  4953500.03,      50.378136,       +0.024793,   82758.64,  209807.43,       0.00,                2.23,    -0.34,      0.00,           32575.43,     18.42,     19.16,          26.13,  +3.89,  +2.28
  1,     UK000F,       0,  0.040196, 2459522.483345017768,  63.96948, -11.60969,              150.42317,  22.10944,       150.39837,       22.10866,     63.96948,     -11.60969,      63.99219,      -11.60329,  3275727.15,  2510406.63,  4952929.48,      50.383872,       +0.019282,   81483.00,  208597.53,    1480.86,             1483.08,   160.11,  36840.90,           32575.43,     58.00,     60.34,          82.76,  +2.30,  +0.70
  2,     UK000F,       0,  0.080340, 2459522.483345482498,  64.03306, -11.76541,              150.41162,  21.94208,       150.40759,       21.94195,     64.03306,     -11.76541,      64.03706,      -11.76437,  3275160.24,  2509631.26,  4952528.45,      50.387904,       +0.015357,   80586.42,  207747.66,    2521.72,             2523.95,  -117.72,  25928.29,           32575.43,      9.40,      9.78,          13.47,  +1.83,  +0.24
  3,     UK000F,       0,  0.120544, 2459522.483345947694,  64.08507, -12.00281,              150.43913,  21.70063,       150.41953,       21.70001,     64.08507,     -12.00281,      64.10346,      -11.99773,  3274346.57,  2508518.41,  4951952.87,      50.393693,       +0.009793,   79299.65,  206533.29,    4015.64,             4017.86,    55.52,  37158.37,           32575.43,     45.51,     47.34,          65.59,  +1.52,  -0.05
  4,     UK000F,       0,  0.160716, 2459522.483346412890,  64.15068, -12.19584,              150.43823,  21.49723,       150.43006,       21.49697,     64.15068,     -12.19584,      64.15881,      -12.19372,  3273670.68,  2507593.98,  4951474.75,      50.398504,       +0.005140,   78230.81,  205526.47,    5256.61,             5258.83,   -23.12,  30891.36,           32475.77,     18.90,     19.66,          27.37,  +1.32,  -0.24
  5,     UK000F,       0,  0.200908, 2459522.483346878085,  64.21913, -12.41247,              150.44249,  21.27054,       150.44144,       21.27051,     64.21913,     -12.41247,      64.22093,      -12.41220,  3272924.76,  2506573.78,  4950947.09,      50.403815,       +0.000020,   77051.28,  204418.92,    6626.14,             6628.37,    26.14,  34074.92,           32675.83,      2.42,      2.52,           3.53,  +1.62,  +0.07
  6,     UK000F,       0,  0.241084, 2459522.483347342815,  64.27191, -12.61677,              150.45831,  21.06036,       150.45223,       21.06017,     64.27191,     -12.61677,      64.27850,      -12.61518,  3272238.94,  2505635.78,  4950461.94,      50.408699,       -0.004703,   75966.84,  203403.03,    7885.34,             7887.56,   -34.41,  31341.90,           32604.36,     13.97,     14.53,          20.43,  +1.29,  -0.25
  7,     UK000F,       0,  0.281256, 2459522.483347808011,  64.35632, -12.80023,              150.43585,  20.86036,       150.46261,       20.86119,     64.35632,     -12.80023,      64.33286,      -12.80726,  3271596.27,  2504756.80,  4950007.32,      50.413277,       -0.009142,   74950.67,  202453.23,    9065.30,             9067.53,  -174.07,  29372.75,           32305.34,    -61.28,    -63.76,          90.09,  +1.44,  -0.09
  8,     UK000F,       0,  0.321448, 2459522.483348273207,  64.41086, -13.02674,              150.45751,  20.62859,       150.47419,       20.62911,     64.41086,     -13.02674,      64.39681,      -13.03112,  3270854.52,  2503742.31,  4949482.61,      50.418563,       -0.014243,   73777.91,  201360.90,   10427.17,            10429.40,  -132.47,  33884.14,           32271.08,    -38.04,    -39.58,          56.23,  +1.28,  -0.24
  9,     UK000F,       0,  0.361616, 2459522.483348737936,  64.45516, -13.22002,              150.47822,  20.43150,       150.48451,       20.43170,     64.45516,     -13.22002,      64.45085,      -13.22168,  3270229.55,  2502887.52,  4949040.51,      50.423018,       -0.018569,   72789.80,  200442.29,   11574.64,            11576.87,  -304.48,  28566.89,           32051.65,    -14.30,    -14.87,          21.23,  +1.65,  +0.14
 10,     UK000F,       0,  0.401780, 2459522.483349202666,  64.51126, -13.40923,              150.48598,  20.23471,       150.49482,       20.23499,     64.51126,     -13.40923,      64.50475,      -13.41156,  3269612.40,  2502043.45,  4948603.94,      50.427418,       -0.022845,   71814.10,  199537.47,   12707.75,            12709.98,  -490.73,  28211.93,           31757.51,    -20.03,    -20.83,          29.87,  +2.14,  +0.64
  0,     UK003D,       0,  0.005351, 2459522.483344615437,  51.50468, -12.81430,              164.27199,  24.02866,       164.30201,       24.03526,     51.50468,     -12.81430,      51.47585,      -12.81248,  3276464.05,  2511414.50,  4953450.76,      50.378632,       +0.024309,   82648.49,  196572.40,       0.00,              130.10,   -48.24,      0.00,           33368.73,    -66.66,    -70.11,         101.51,  +2.95,  +1.48
  1,     UK003D,       0,  0.045563, 2459522.483345080633,  51.45467, -13.06092,              164.37067,  23.79401,       164.36965,       23.79378,     51.45467,     -13.06092,      51.45584,      -13.06098,  3275669.13,  2510327.28,  4952888.44,      50.384284,       +0.018875,   81391.25,  195383.90,    1459.51,             1589.60,    90.33,  36295.27,           33368.73,      2.27,      2.39,           3.47,  +1.40,  -0.05
  2,     UK003D,       0,  0.085727, 2459522.483345545828,  51.43162, -13.26388,              164.43258,  23.59784,       164.42551,       23.59627,     51.43162,     -13.26388,      51.43880,      -13.26432,  3275025.89,  2509447.52,  4952433.42,      50.388860,       +0.014443,   80373.96,  194424.38,    2640.51,             2770.61,   -48.01,  29404.63,           33368.73,     15.57,     16.38,          23.98,  +1.28,  -0.16
  3,     UK003D,       0,  0.125931, 2459522.483346011024,  51.41339, -13.51395,              164.49793,  23.35441,       164.49314,       23.35335,     51.41339,     -13.51395,      51.41855,      -13.51425,  3274243.71,  2508377.72,  4951880.11,      50.394426,       +0.009088,   79136.98,  193261.55,    4076.63,             4206.73,    67.44,  35720.82,           33368.73,     10.51,     11.06,          16.28,  +0.72,  -0.71
  4,     UK003D,       0,  0.166127, 2459522.483346476220,  51.38577, -13.75360,              164.57086,  23.12275,       164.55808,       23.11993,     51.38577,     -13.75360,      51.39888,      -13.75440,  3273500.89,  2507361.76,  4951354.64,      50.399713,       +0.003991,   77962.32,  192160.56,    5440.47,             5570.57,   110.87,  33929.69,           33584.13,     27.92,     29.38,          43.51,  +0.96,  -0.46
  5,     UK003D,       0,  0.206287, 2459522.483346940950,  51.40660, -13.96424,              164.58787,  22.91173,       164.61472,       22.91765,     51.40660,     -13.96424,      51.38131,      -13.96258,  3272863.88,  2506490.51,  4950904.02,      50.404248,       -0.000407,   76955.01,  191218.72,    6610.05,             6740.15,   -38.77,  29122.99,           33008.88,    -58.47,    -61.51,          91.54,  +0.97,  -0.44
  6,     UK003D,       0,  0.246487, 2459522.483347406145,  51.37338, -14.20798,              164.66689,  22.67691,       164.68043,       22.67990,     51.37338,     -14.20798,      51.36119,      -14.20714,  3272123.34,  2505477.68,  4950380.17,      50.409523,       -0.005494,   75784.07,  190127.50,    7969.70,             8099.80,     0.34,  33822.08,           32890.52,    -29.36,    -30.89,          46.24,  +0.54,  -0.86
  7,     UK003D,       0,  0.286659, 2459522.483347871341,  51.35861, -14.42256,              164.72122,  22.46779,       164.73834,       22.47156,     51.35861,     -14.42256,      51.34305,      -14.42149,  3271481.28,  2504599.52,  4949925.97,      50.414097,       -0.009930,   74768.85,  189183.85,    9148.56,             9278.66,  -140.41,  29345.38,           32545.91,    -36.99,    -38.91,          58.53,  +0.82,  -0.56
  8,     UK003D,       0,  0.326843, 2459522.483348336536,  51.32563, -14.64320,              164.79522,  22.25561,       164.79792,       22.25620,     51.32563,     -14.64320,      51.32435,      -14.64303,  3270824.29,  2503700.95,  4949461.22,      50.418779,       -0.014467,   73730.09,  188221.11,   10354.82,            10484.91,  -254.16,  30018.31,           32216.57,     -5.80,     -6.10,           9.22,  +0.65,  -0.72
  9,     UK003D,       0,  0.367027, 2459522.483348801266,  51.32402, -14.87550,              164.83878,  22.02684,       164.85975,       22.03146,     51.32402,     -14.87550,      51.30492,      -14.87418,  3270145.88,  2502773.08,  4948981.32,      50.423615,       -0.019149,   72657.51,  187230.08,   11600.40,            11730.50,  -328.59,  30997.09,           31982.39,    -44.99,    -47.33,          71.94,  +0.75,  -0.61
 10,     UK003D,       0,  0.407199, 2459522.483349266462,  51.26429, -15.07000,              164.93502,  21.84465,       164.91295,       21.83977,     51.26429,     -15.07000,      51.28775,      -15.07142,  3269572.71,  2501989.16,  4948575.86,      50.427702,       -0.023132,   71751.33,  186394.76,   12652.76,            12782.86,  -595.85,  26196.25,           31591.74,     47.18,     49.66,          75.80,  +3.36,  +2.01

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.