Orbital Analysis for matched events on 20211015_052203.621_UK

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Summary for Event
-----------------
shower ID 877 OHD
Lg 141.58° Bg -6.60° Vg 59.93km/s
mass 0.01872g, abs. mag -0.0
best visual mag 0.8
Path Details
------------
start -1.76° 52.50° 110.01km
end   -1.94° 52.59° 98.62km

Orbit Details
-------------
Semimajor axis 2.16A.U., eccentricity 0.85, inclination 162.47°, Period 3.18Y, LA Sun 201.78°, last Perihelion 2021-09-03

Full details below
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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459502.723653027788
Time: 2021-10-15 05:22:03.661633 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK002Z
 Convergence angle = 4.22507 deg
 R.A. = 138.59072  Dec =  +8.74911 deg

Best intersection: Stations UK002H and UK002Z with Qconv = 4.23 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -873353.51 +/- 1658.46 m
 Y =   3862409.58 +/- 2932.94 m
 Z =   5124363.45 +/- 603.74 m
 Vx =   -47431.43 +/- 6361.23 m/s
 Vy =    37229.08 +/- 10706.98 m/s
 Vz =     8894.66 +/- 2273.44 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.435065e+05, -4.382240e+05, -8.645292e+04, +2.737286e+05, -8.775168e+05, -1.659205e+05
-4.382240e+05, +7.902739e+05, +1.558011e+05, -5.015704e+05, +1.617602e+06, +3.061864e+05
-8.645292e+04, +1.558011e+05, +3.096844e+04, -1.007365e+05, +3.291950e+05, +6.335006e+04
+2.737286e+05, -5.015704e+05, -1.007365e+05, +7.937725e+05, -1.489417e+06, -3.115165e+05
-8.775168e+05, +1.617602e+06, +3.291950e+05, -1.489417e+06, +5.547942e+06, +1.097808e+06
-1.659205e+05, +3.061864e+05, +6.335006e+04, -3.115165e+05, +1.097808e+06, +2.242648e+05

Timing offsets (from input data):
    UK002H: -4.352216 s
    UK002Z: -0.054440 s

Reference point on the trajectory:
  Time: 2021-10-15 05:22:03.661633 UTC
  Lon     = +-1.739934 +/- 0.0140 deg
  Lat     = +52.487328 +/- 0.0193 deg
  Lat geo = +52.304478 +/- 0.0193 deg
  Ht      =  111341.53 +/- 2444.13 m

  JD dynamic   = 2459502.724454232026 
  LST apparent = 102.7412427734 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 141.87152 +/- 4.2814 deg
  Dec       =  +8.39140 +/- 0.5052 deg
  Azimuth   = 129.78299 +/- 4.3999 deg
  Elevation = +35.66615 +/- 2.4077 deg
  Vavg      =  61.18711 +/- 7.5191 km/s
  Vinit     =  60.94965 +/- 11.9357 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 142.08372 +/- 4.2814 deg
  Dec       =  +8.36641 +/- 0.5052 deg
  Azimuth   = 129.57015 +/- 4.3999 deg
  Elevation = +35.54469 +/- 2.4077 deg
  Vavg      =  61.36780 +/- 7.5191 km/s
  Vinit     =  61.13035 +/- 11.9357 km/s
Radiant (geocentric, J2000):
  R.A.   = 141.81919 +/- 4.3588 deg
  Dec    =  +8.05219 +/- 0.6112 deg
  Vg     =  59.93133 +/- 12.0742 km/s
  Vinf   =  60.94965 +/- 11.9357 km/s
  Zc     =  54.21698 +/- 2.4181 deg
  Zg     =  54.71114 +/- 2.5538 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 141.58267 +/- 4.3207 deg
  Bg     =  -6.59937 +/- 0.7650 deg
  Vh     =  36.99602 +/- 10.2404 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 164.92727 +/- 10.6216 deg
  Bh     = -10.72805 +/- 0.8882 deg
  Vh_x   =  35.09885 +/- 5.5812 km/s
  Vh_y   =  -9.45248 +/- 11.6840 km/s
  Vh_z   =   6.88672 +/- 2.3968 km/s
Orbit:
  La Sun = 201.783379 +/- 0.0000 deg
  a      =   2.160805 +/- 15.3224 AU
  e      =   0.853690 +/- 0.9312
  i      = 162.471409 +/- 2.3421 deg
  peri   = 241.120792 +/- 34.8427 deg
  node   =  21.785959 +/- 0.0001 deg
  Pi     = 262.906751 +/- 34.8428 deg
  q      =   0.316147 +/- 0.2240 AU
  f      = 118.879696 +/- 34.8426 deg
  M      =  12.936995 +/- nan deg
  Q      =   4.005463 +/- 30.6649 AU
  n      =   0.310299 +/- 1.9578 deg/day
  T      =   3.176319 +/- nan years
  Last perihelion JD = 2459461.032451 (2021-09-03 12:46:43.739852) +/- 1.5489 days
  Tj     =   1.768508 +/- 6.6489
Shower association:
  IAU No.  =  877
  IAU code =  OHD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +9.972789e-04, +1.119577e-03, +2.381723e-02, +3.692904e-07, +1.823117e-01, +1.107224e-02
q   , +1.119577e-03, +4.272759e-03, -9.571446e-03, +1.226452e-06, +6.321638e-01, +4.355754e-02
Tp  , +2.381723e-02, -9.571446e-03, +1.018966e+00, -7.853846e-07, -7.595400e-01, -9.919356e-02
node, +3.692904e-07, +1.226452e-06, -7.853846e-07, +4.359121e-10, +1.855019e-04, +1.608252e-05
peri, +1.823117e-01, +6.321638e-01, -7.595400e-01, +1.855019e-04, +9.414607e+01, +6.584723e+00
i   , +1.107224e-02, +4.355754e-02, -9.919356e-02, +1.608252e-05, +6.584723e+00, +6.103150e-01

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: UK002H
  Avg. res. = 2.693e-06 s
  Stddev    = 1.64e-03 s

Begin point on the trajectory:
  Lon =    -1.760538 +/- 0.0115 deg
  Lat =    52.497796 +/- 0.0160 deg
  Ht  = 110012.49 +/- 2023.70 m
End point on the trajectory:
  Lon =    -1.939619 +/- 0.0071 deg
  Lat =    52.587749 +/- 0.0122 deg
  Ht  = 98616.50 +/- 1539.82 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.000000,   0.000000,   110012.49,    98616.50,          0.011475,     16.38,     24.41,              18.80, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20211015_052201_001_1036800.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   108381.51,   101159.83,          0.015494,     24.60,     43.05,              63.84, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20211015_052202_409_1048832.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,     UK002H,       1,  0.000000, 2459502.723653027788, 119.59164,  10.36718,              155.35606,  44.74103,       155.39369,       44.65805,    119.59164,     +10.36718,     119.58665,      +10.28013,  -873353.51,  3862409.58,  5124363.45,      52.487328,       -1.739767,  111341.53,  157010.17,       0.00,                0.00,    50.56,      0.00,           61440.22,    197.91,    133.85,         313.87,  +4.89,  +3.91
  1,     UK002H,       0,  0.040052, 2459502.723653491121, 119.26201,  10.31669,              155.81598,  44.77341,       155.82434,       44.75446,    119.26201,     +10.31669,     119.26112,      +10.29686,  -871579.38,  3861017.05,  5124030.75,      52.497796,       -1.760538,  110012.49,  154896.51,    2279.77,             2279.77,  -110.82,  56920.29,           61440.22,     44.55,     29.92,          71.46,  +2.56,  +1.61
  2,     UK002H,       0,  0.080072, 2459502.723653954454, 118.88205,  10.30449,              156.33098,  44.85349,       156.32629,       44.86441,    118.88205,     +10.30449,     118.88297,      +10.31589,  -869574.92,  3859443.74,  5123654.86,      52.509624,       -1.784005,  108511.52,  152514.86,    4855.52,             4855.52,    25.72,  64361.46,           61440.22,    -25.24,    -16.90,          41.08,  +2.10,  +1.18
  3,     UK002H,       0,  0.120052, 2459502.723654417321, 118.50679,  10.33759,              156.82570,  44.97458,       156.82700,       44.97148,    118.50679,     +10.33759,     118.50713,      +10.33436,  -867643.72,  3857927.94,  5123292.71,      52.521020,       -1.806642,  107066.04,  150226.43,    7337.11,             7337.11,    70.55,  62070.89,           61440.22,      7.04,      4.72,          11.64,  +1.89,  +1.01
  4,     UK002H,       0,  0.160056, 2459502.723654880188, 118.15406,  10.34055,              157.30169,  45.05944,       157.29744,       45.06973,    118.15406,     +10.34055,     118.15525,      +10.35126,  -865889.48,  3856551.03,  5122963.74,      52.531373,       -1.827239,  105753.53,  148152.98,    9591.33,             9591.33,  -113.47,  56349.80,           60582.94,    -23.04,    -15.43,          38.60,  +1.52,  +0.67
  5,     UK002H,       0,  0.200040, 2459502.723655343056, 117.74469,  10.37041,              157.84714,  45.18164,       157.84712,       45.18167,    117.74469,     +10.37041,     117.74553,      +10.37045,  -863904.39,  3854992.93,  5122591.49,      52.543089,       -1.850546,  104268.92,  145813.81,   12142.18,            12142.18,     0.37,  63796.70,           60796.67,     -0.07,     -0.05,           0.12,  +1.31,  +0.49
  6,     UK002H,       0,  0.240036, 2459502.723655805923, 117.31889,  10.38191,              158.42285,  45.28742,       158.41985,       45.29504,    117.31889,     +10.38191,     117.32025,      +10.38982,  -861909.22,  3853426.91,  5122217.34,      52.554865,       -1.873994,  102777.42,  143470.29,   14705.98,            14705.98,   126.43,  64101.59,           61227.04,    -16.45,    -11.02,          28.47,  +1.15,  +0.37
  7,     UK002H,       0,  0.280032, 2459502.723656268790, 116.88619,  10.39803,              159.00847,  45.39682,       159.00444,       45.40736,    116.88619,     +10.39803,     116.88785,      +10.40893,  -859945.73,  3851885.77,  5121849.13,      52.566455,       -1.897095,  101310.25,  141171.65,   17229.07,            17229.07,   211.78,  63083.50,           61561.07,    -22.34,    -14.96,          39.28,  +1.28,  +0.53
  8,     UK002H,       0,  0.320016, 2459502.723656731658, 116.48622,  10.42599,              159.54765,  45.50854,       159.54760,       45.50865,    116.48622,     +10.42599,     116.48756,      +10.42611,  -858185.48,  3850504.13,  5121519.04,      52.576846,       -1.917841,   99995.45,  139117.47,   19491.01,            19491.01,    36.71,  56571.14,           61384.47,     -0.25,     -0.17,           0.44,  +1.36,  +0.64
  9,     UK002H,       0,  0.359992, 2459502.723657194525, 116.05416,  10.46291,              160.13019,  45.63346,       160.13684,       45.61523,    116.05416,     +10.46291,     116.05486,      +10.44412,  -856338.58,  3849054.50,  5121172.70,      52.587749,       -1.939619,   98616.50,  136969.59,   21864.28,            21864.28,   -26.54,  59367.45,           61184.60,     37.33,     25.07,          67.71,  +3.04,  +2.36
  0,     UK002Z,       0,  0.084162, 2459502.723654001486,  72.27044,   5.35513,              220.03950,  35.29517,       220.03951,       35.29517,     72.27044,      +5.35513,      72.27079,       +5.35514,  -869401.25,  3859307.43,  5123622.29,      52.510649,       -1.786042,  108381.51,  184502.56,       0.00,             5078.68,    -0.37,      0.00,           62186.28,     -0.03,     -0.01,           0.03,  +1.98,  +0.65
  1,     UK002Z,       0,  0.124726, 2459502.723654471338,  71.53018,   5.29942,              220.84403,  34.95843,       220.82320,       34.92883,     71.53018,      +5.29942,      71.53489,       +5.26550,  -867438.33,  3857766.73,  5123254.19,      52.522232,       -1.809053,  106912.34,  183623.34,    2522.36,             7601.05,    49.63,  62182.31,           62186.28,     95.08,     54.36,         123.02,  +2.26,  +0.94
  2,     UK002Z,       0,  0.165302, 2459502.723654940724,  70.82537,   5.16543,              221.56546,  34.55930,       221.57332,       34.57033,     70.82537,      +5.16543,      70.82447,       +5.17813,  -865560.53,  3856292.84,  5122902.06,      52.533314,       -1.831094,  105507.48,  182811.29,    4935.34,            10014.02,   -10.49,  59468.06,           62186.28,    -35.47,    -20.23,          46.07,  +1.46,  +0.15
  3,     UK002Z,       0,  0.205918, 2459502.723655411042,  70.02975,   5.08101,              222.40484,  34.16560,       222.40391,       34.16432,     70.02975,      +5.08101,      70.03079,       +5.07953,  -863480.43,  3854660.16,  5122511.98,      52.545591,       -1.855516,  103951.94,  181944.43,    7608.28,            12686.96,   186.92,  65810.00,           62186.28,      4.12,      2.35,           5.38,  +0.79,  -0.51
  4,     UK002Z,       0,  0.246478, 2459502.723655880429,  69.32460,   4.98071,              223.13029,  33.78934,       223.13674,       33.79816,     69.32460,      +4.98071,      69.32433,       +4.99095,  -861645.46,  3853219.89,  5122167.88,      52.556422,       -1.877100,  102580.30,  181209.92,    9966.22,            15044.91,    72.75,  58134.78,           61648.49,    -28.35,    -16.18,          37.15,  +1.12,  -0.17
  5,     UK002Z,       0,  0.287054, 2459502.723656349815,  68.58558,   4.89757,              223.89527,  33.41115,       223.89531,       33.41120,     68.58558,      +4.89757,      68.58677,       +4.89763,  -859744.40,  3851727.74,  5121811.38,      52.567644,       -1.899477,  101159.83,  180478.23,   12409.10,            17487.79,    42.53,  60205.03,           61288.64,     -0.17,     -0.10,           0.23,  +1.51,  +0.23

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.