Orbital Analysis for matched events on 20210813_000332.814_UK

Summary for Event
-----------------
shower ID 26 NDA
Lg 346.58° Bg 8.52° Vg 37.98km/s
mass 0.05940g, abs. mag -0.5
Path Details
------------
start 2.67° 52.73° 91.77km
end   2.63° 52.78° 87.08km

Orbit Details
-------------
Semimajor axis 2.19A.U., eccentricity 0.95, inclination 23.89°, Period 3.25Y, LA Sun 140.19°, last Perihelion 2018-06-19

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: 2459439.502463134937
Time: 2021-08-13 00:03:32.814859 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 17.06917 deg
 R.A. = 350.23367  Dec =  +3.78359 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 17.07 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3224489.18 +/- 687.14 m
 Y =  -2240274.48 +/- 289.69 m
 Z =   5125389.67 +/- 68.74 m
 Vx =    38021.22 +/- 5339.33 m/s
 Vy =   -10664.12 +/- 1871.38 m/s
 Vz =     2601.90 +/- 557.19 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.582406e+05, +6.741182e+04, +1.352245e+04, +1.240564e+06, +6.832398e+05, +1.185691e+05
+6.741182e+04, +3.046131e+04, +5.776975e+03, +5.032225e+05, +2.789733e+05, +5.473126e+04
+1.352245e+04, +5.776975e+03, +2.056080e+03, +8.490182e+04, +4.470815e+04, +1.642219e+04
+1.240564e+06, +5.032225e+05, +8.490182e+04, +1.218202e+07, +6.817104e+06, +8.650519e+05
+6.832398e+05, +2.789733e+05, +4.470815e+04, +6.817104e+06, +3.837413e+06, +4.843639e+05
+1.185691e+05, +5.473126e+04, +1.642219e+04, +8.650519e+05, +4.843639e+05, +1.838925e+05

Timing offsets (from input data):
    UK002K: 0.002575 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:03:32.814859 UTC
  Lon     = ++2.670413 +/- 0.0092 deg
  Lat     = +52.728808 +/- 0.0025 deg
  Lat geo = +52.545819 +/- 0.0025 deg
  Ht      =   91772.77 +/- 292.87 m

  JD dynamic   = 2459439.503263875842 
  LST apparent = 325.2096326530 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 344.33235 +/- 4.7414 deg
  Dec       =  +3.76978 +/- 0.3340 deg
  Azimuth   = 155.29165 +/- 5.6497 deg
  Elevation = +38.55415 +/- 1.4609 deg
  Vavg      =  36.72211 +/- 4.8423 km/s
  Vinit     =  39.57406 +/- 4.9755 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 344.72391 +/- 4.7414 deg
  Dec       =  +3.76079 +/- 0.3340 deg
  Azimuth   = 154.81198 +/- 5.6497 deg
  Elevation = +38.44544 +/- 1.4609 deg
  Vavg      =  36.81662 +/- 4.8423 km/s
  Vinit     =  39.66858 +/- 4.9755 km/s
Radiant (geocentric, J2000):
  R.A.   = 344.34545 +/- 4.7330 deg
  Dec    =  +2.56224 +/- 0.4268 deg
  Vg     =  37.98205 +/- 5.1292 km/s
  Vinf   =  39.57406 +/- 4.9755 km/s
  Zc     =  51.27965 +/- 1.4702 deg
  Zg     =  52.40863 +/- 1.3076 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 346.57874 +/- 4.4837 deg
  Bg     =  +8.52476 +/- 1.6430 deg
  Vh     =  36.69299 +/- 1.7071 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 299.67815 +/- 9.0390 deg
  Bh     =  +8.82729 +/- 1.3278 deg
  Vh_x   = -17.95251 +/- 5.6016 km/s
  Vh_y   =  31.50201 +/- 2.7521 km/s
  Vh_z   =  -5.63078 +/- 0.6965 km/s
Orbit:
  La Sun = 140.190865 +/- 0.0000 deg
  a      =   2.192010 +/- 11.0025 AU
  e      =   0.947651 +/- 0.0214
  i      =  23.893022 +/- 38.1973 deg
  peri   = 325.325104 +/- 8.7889 deg
  node   = 140.199744 +/- 0.0039 deg
  Pi     = 105.524848 +/- 8.7856 deg
  q      =   0.114750 +/- 0.0425 AU
  f      = 214.666028 +/- 8.7871 deg
  M      = 349.281234 +/- 3.8728 deg
  Q      =   4.269270 +/- 22.0207 AU
  n      =   0.303697 +/- 0.1099 deg/day
  T      =   3.245372 +/- 74.8519 years
  Last perihelion JD = 2458289.404752 (2018-06-19 21:42:50.573746) +/- 27341.2572 days
  Tj     =   2.753141 +/- 0.9420
Shower association:
  IAU No.  =   26
  IAU code =  NDA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.129476e-04, -8.434500e-04, -4.523839e+01, -6.310572e-07, +2.683980e-03, +3.744105e-03
q   , -8.434500e-04, +1.725376e-03, +8.438738e+01, +1.280204e-06, -5.487620e-03, -7.479588e-03
Tp  , -4.523839e+01, +8.438738e+01, +7.984478e+07, +1.636697e-01, -2.991595e+02, -1.594896e+03
node, -6.310572e-07, +1.280204e-06, +1.636697e-01, +1.424504e-09, -4.380373e-06, -9.939289e-06
peri, +2.683980e-03, -5.487620e-03, -2.991595e+02, -4.380373e-06, +1.773531e-02, +2.638471e-02
i   , +3.744105e-03, -7.479588e-03, -1.594896e+03, -9.939289e-06, +2.638471e-02, +7.931119e-02

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: UK0032
  Avg. res. = 2.055e-06 s
  Stddev    = 1.43e-03 s

Begin point on the trajectory:
  Lon =     2.670428 +/- 0.0093 deg
  Lat =    52.728788 +/- 0.0026 deg
  Ht  = 91774.78 +/- 298.81 m
End point on the trajectory:
  Lon =     2.633573 +/- 0.0090 deg
  Lat =    52.776236 +/- 0.0025 deg
  Ht  = 87081.14 +/- 277.70 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.069837,  38.589116,    91735.10,    87081.14,          0.009219,     26.04,     28.56,              30.32, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_000329_906_0341504.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,    91774.78,    87254.95,          0.041416,    125.79,     79.90,              40.21, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_000326_155_0347392.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,     UK002K,       0,  0.005323, 2459439.502463165205,  21.90620,   4.48465,              112.54178,  21.18374,       112.54209,       21.18331,     21.90620,      +4.48465,      21.90620,       +4.48414,  3224431.12, -2240258.20,  5125385.70,      52.729188,       +2.670113,   91735.10,  242816.28,       0.00,               60.43,   263.58,      0.00,           38713.52,      1.61,     -1.47,           1.85,  +2.92,  +0.99
  1,     UK002K,       0,  0.045407, 2459439.502463629004,  22.09151,   4.46801,              112.38631,  21.06807,       112.37728,       21.08066,     22.09151,      +4.46801,      22.09178,       +4.48315,  3223189.47, -2239909.94,  5125300.73,      52.737322,       +2.663779,   90929.71,  241782.40,    1292.36,             1352.79,   -30.34,  32241.26,           38713.52,    -47.24,     43.06,          54.53,  +1.56,  -0.36
  2,     UK002K,       0,  0.085487, 2459439.502464092802,  22.32746,   4.48212,              112.16780,  20.95009,       112.16800,       20.94982,     22.32746,      +4.48212,      22.32779,       +4.48179,  3221627.88, -2239471.95,  5125193.87,      52.747555,       +2.655851,   89916.99,  240488.19,    2917.73,             2978.16,     8.90,  40553.14,           38713.52,      1.02,     -0.93,           1.19,  +1.53,  -0.38
  3,     UK002K,       0,  0.125599, 2459439.502464557067,  22.57889,   4.46502,              111.95430,  20.79736,       111.94520,       20.80998,     22.57889,      +4.46502,      22.57950,       +4.48025,  3219981.17, -2239010.09,  5125081.18,      52.758348,       +2.647492,   88849.34,  239128.39,    4631.69,             4692.12,   135.46,  42729.36,           38713.52,    -46.96,     42.81,          54.81,  +1.97,  +0.08
  4,     UK002K,       0,  0.165671, 2459439.502465020865,  22.78072,   4.47226,              111.77078,  20.69206,       111.76675,       20.69763,     22.78072,      +4.47226,      22.78144,       +4.47898,  3218671.68, -2238642.80,  5124991.56,      52.766934,       +2.640806,   88000.49,  238048.39,    5994.66,             6055.09,   -87.38,  34013.00,           38236.91,    -20.63,     18.81,          24.19,  +2.38,  +0.50
  5,     UK002K,       0,  0.205751, 2459439.502465485130,  23.00156,   4.47928,              111.57076,  20.57594,       111.57182,       20.57448,     23.00156,      +4.47928,      23.00238,       +4.47751,  3217253.13, -2238244.93,  5124894.49,      52.776236,       +2.633573,   87081.14,  236882.58,    7471.15,             7531.58,  -197.02,  36838.58,           37901.00,      5.39,     -4.92,           6.35,  +4.55,  +2.68
  6,     UK002K,       1,  0.245811, 2459439.502465948462,  23.13097,   4.46437,              111.46495,  20.49199,       111.45756,       20.50219,     23.13097,      +4.46437,      23.13207,       +4.47670,  3216423.48, -2238012.23,  5124837.71,      52.781678,       +2.629271,   86543.50,  236198.36,    8334.68,             8395.11,  -918.82,  21555.98,           36031.05,    -37.54,     34.23,          44.36,  +6.24,  +4.37
  0,     UK0032,       0,  0.000000, 2459439.502463134937,  30.71498,  15.60481,               97.87273,  25.47583,        97.82217,       25.55918,     30.71498,     +15.60481,      30.69855,      +15.69851,  3224492.28, -2240275.35,  5125389.88,      52.728788,       +2.670428,   91774.78,  206490.97,       0.00,                3.23,   417.02,      0.00,           37681.73,   -183.69,    289.02,         342.08,  +3.23,  +1.66
  1,     UK0032,       0,  0.040048, 2459439.502463598270,  30.94253,  15.72616,               97.59898,  25.43534,        97.59205,       25.44676,     30.94253,     +15.72616,      30.94043,      +15.73901,  3223374.85, -2239961.94,  5125313.42,      52.736108,       +2.664711,   91049.94,  205691.02,    1163.08,             1159.84,   -11.23,  29042.06,           37681.73,    -25.01,     39.52,          46.90,  +1.45,  -0.12
  2,     UK0032,       0,  0.080208, 2459439.502464063466,  31.29427,  15.77548,               97.27130,  25.26405,        97.25977,       25.28295,     31.29427,     +15.77548,      31.29089,      +15.79677,  3221774.11, -2239512.97,  5125203.87,      52.746597,       +2.656588,   90011.82,  204555.56,    2829.18,             2825.95,    65.58,  41486.73,           37681.73,    -41.22,     65.10,          77.70,  +1.36,  -0.19
  3,     UK0032,       0,  0.120352, 2459439.502464527730,  31.64422,  15.84430,               96.93240,  25.10892,        96.92702,       25.11771,     31.64422,     +15.84430,      31.64301,      +15.85421,  3220184.34, -2239067.07,  5125095.08,      52.757017,       +2.648514,   88981.05,  203435.11,    4483.89,             4480.65,   131.62,  41219.19,           37681.73,    -19.07,     30.14,          36.16,  +1.61,  +0.07
  4,     UK0032,       0,  0.160464, 2459439.502464991994,  31.94818,  15.92577,               96.62372,  24.99103,        96.63537,       24.97205,     31.94818,     +15.92577,      31.95250,      +15.90433,  3218801.33, -2238679.17,  5125000.44,      52.766084,       +2.641462,   88084.53,  202465.07,    5923.38,             5920.14,   -16.28,  35886.76,           37803.41,     40.99,    -64.90,          78.20,  +2.10,  +0.57
  5,     UK0032,       0,  0.200608, 2459439.502465456724,  32.24205,  15.94354,               96.36758,  24.82916,        96.36362,       24.83559,     32.24205,     +15.94354,      32.24164,      +15.95081,  3217521.35, -2238320.16,  5124912.84,      52.774477,       +2.634919,   87254.95,  201571.58,    7255.64,             7252.41,  -272.68,  33187.07,           37178.34,    -13.86,     21.91,          26.53,  +3.42,  +1.90

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.