Orbital Analysis for matched events on 20211103_021927.812_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 105.09° Bg -8.22° Vg 60.04km/s
mass 0.00397g, abs. mag 0.8
best visual mag 1.2
Path Details
------------
start -3.39° 51.10° 112.17km
end   -3.47° 51.15° 104.31km

Orbit Details
-------------
Semimajor axis 1.85A.U., eccentricity 0.79, inclination 160.01°, Period 2.51Y, LA Sun 220.58°, last Perihelion 2019-06-16

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: 2459521.596849677619
Time: 2021-11-03 02:19:27.812146 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK003Z
 Convergence angle = 27.81191 deg
 R.A. = 106.45172  Dec = +14.52292 deg

Best intersection: Stations UK0006 and UK003Z with Qconv = 27.81 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1122881.03 +/- 107.59 m
 Y =   3926064.49 +/- 50.50 m
 Z =   5028123.13 +/- 38.54 m
 Vx =   -15827.37 +/- 669.36 m/s
 Vy =    56889.86 +/- 703.43 m/s
 Vz =    15516.04 +/- 384.24 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.243684e+04, +3.903471e+03, +3.229965e+03, +8.287617e+04, +2.488598e+04, +1.525856e+04
+3.903471e+03, +2.734337e+03, +1.436413e+03, +2.455332e+04, +2.729422e+04, +1.009133e+04
+3.229965e+03, +1.436413e+03, +1.584439e+03, +2.050833e+04, +1.139896e+04, +9.753959e+03
+8.287617e+04, +2.455332e+04, +2.050833e+04, +6.913312e+05, +1.629204e+05, +1.322522e+05
+2.488598e+04, +2.729422e+04, +1.139896e+04, +1.629204e+05, +3.395320e+05, +1.097511e+05
+1.525856e+04, +1.009133e+04, +9.753959e+03, +1.322522e+05, +1.097511e+05, +9.259497e+04

Timing offsets (from input data):
    UK0006: -0.000139 s
    UK003H: 0.000000 s
    UK003J: 0.000000 s
    UK003Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:19:27.812146 UTC
  Lon     = +-3.394861 +/- 0.0013 deg
  Lat     = +51.103896 +/- 0.0004 deg
  Lat geo = +50.918949 +/- 0.0004 deg
  Ht      =  112134.31 +/- 70.74 m

  JD dynamic   = 2459521.597650418524 
  LST apparent = 74.0391119140 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 105.54714 +/- 0.8047 deg
  Dec       = +14.72218 +/- 0.2423 deg
  Azimuth   = 133.64995 +/- 0.8655 deg
  Elevation = +45.68810 +/- 0.5338 deg
  Vavg      =  63.89819 +/- 0.1196 km/s
  Vinit     =  61.05497 +/- 0.5273 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 105.79282 +/- 0.8047 deg
  Dec       = +14.68502 +/- 0.2423 deg
  Azimuth   = 133.37522 +/- 0.8655 deg
  Elevation = +45.54345 +/- 0.5338 deg
  Vavg      =  64.04924 +/- 0.1196 km/s
  Vinit     =  61.20602 +/- 0.5273 km/s
Radiant (geocentric, J2000):
  R.A.   = 105.42776 +/- 0.8105 deg
  Dec    = +14.41075 +/- 0.2451 deg
  Vg     =  60.03865 +/- 0.5362 km/s
  Vinf   =  61.05497 +/- 0.5273 km/s
  Zc     =  44.18440 +/- 0.5356 deg
  Zg     =  44.57478 +/- 0.5419 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 105.08960 +/- 0.8086 deg
  Bg     =  -8.22249 +/- 0.1988 deg
  Vh     =  36.15981 +/- 0.6134 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.80633 +/- 1.2745 deg
  Bh     = -13.73656 +/- 0.4036 deg
  Vh_x   =  -4.39855 +/- 0.7967 km/s
  Vh_y   = -34.84907 +/- 0.6043 km/s
  Vh_z   =   8.58644 +/- 0.2172 km/s
Orbit:
  La Sun = 220.583299 +/- 0.0000 deg
  a      =   1.845092 +/- 0.1634 AU
  e      =   0.787790 +/- 0.0226
  i      = 160.011299 +/- 0.4741 deg
  peri   = 111.944847 +/- 2.5652 deg
  node   =  40.582202 +/- 0.0001 deg
  Pi     = 152.527050 +/- 2.5652 deg
  q      =   0.391547 +/- 0.0191 AU
  f      = 248.052547 +/- 2.5652 deg
  M      = 342.479815 +/- 2.8693 deg
  Q      =   3.298637 +/- 0.3253 AU
  n      =   0.393258 +/- 0.0549 deg/day
  T      =   2.506269 +/- 0.3316 years
  Last perihelion JD = 2458650.718526 (2019-06-16 05:14:40.674979) +/- 121.9918 days
  Tj     =   2.131286 +/- 0.2658
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.469055e-04, -1.610875e-04, -2.646354e+00, -4.556556e-08, -9.502264e-03, +4.155818e-04
q   , -1.610875e-04, +3.908930e-04, -2.347348e-01, -4.696069e-07, -4.580048e-02, +3.468165e-03
Tp  , -2.646354e+00, -2.347348e-01, +1.596207e+04, +1.383059e-03, +1.888993e+02, -1.067404e+01
node, -4.556556e-08, -4.696069e-07, +1.383059e-03, +4.376435e-09, +6.990278e-05, -3.239198e-05
peri, -9.502264e-03, -4.580048e-02, +1.888993e+02, +6.990278e-05, +7.044904e+00, -5.209201e-01
i   , +4.155818e-04, +3.468165e-03, -1.067404e+01, -3.239198e-05, -5.209201e-01, +2.399236e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 31.622777
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK003Z
  Avg. res. = 1.238e-05 s
  Stddev    = 3.52e-03 s

Begin point on the trajectory:
  Lon =    -3.394482 +/- 0.0013 deg
  Lat =    51.103668 +/- 0.0003 deg
  Ht  = 112172.59 +/- 62.15 m
End point on the trajectory:
  Lon =    -3.473327 +/- 0.0007 deg
  Lat =    51.150500 +/- 0.0002 deg
  Ht  = 104314.05 +/- 45.46 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,  48.644813,   0.000000,   112050.22,   104314.05,          0.011433,     27.33,     29.85,              76.93, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20211103_021919_180_0822784.fits"}
    UK003H,    True,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   111012.96,   105855.34,          0.045959,       nan,       nan,              66.05, 0.0000,    True,    True, {"ff_name": "FF_UK003H_20211103_021920_405_0232704.fits"}
    UK003J,    True,    -2.379250,    51.361350,  169.00,  54.465434,   0.000000,   111405.80,   105571.25,          0.048597,       nan,       nan,              66.05, 0.0000,    True,    True, {"ff_name": "FF_UK003J_20211103_021922_293_0815360.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,   112172.59,   105091.03,          0.019553,     53.84,     19.21,              86.66, 1.0000,    True,    True, {"ff_name": "FF_UK003Z_20211103_021928_143_0818944.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,     UK0006,       0,  0.016029, 2459521.596849864814,  28.41186,   9.35878,              239.97293,  32.52807,       239.98276,       32.53617,     28.41186,      +9.35878,      28.40931,       +9.37008,  1122911.49,  3925954.99,  5028093.27,      51.104396,       -3.395762,  112050.22,  203965.03,       0.00,              117.52,  -914.75,      0.00,           65960.80,    -30.43,    -27.86,          41.73,  +5.56,  +4.01
  1,     UK0006,       0,  0.056617, 2459521.596850334667,  27.36140,   9.12862,              240.85276,  31.77106,       240.85559,       31.77338,     27.36140,      +9.12862,      27.36088,       +9.13187,  1123917.70,  3922338.28,  5027106.85,      51.120932,       -3.423483,  109273.33,  203023.28,    3881.50,             3999.03,   488.65,  95631.81,           65960.80,     -8.73,     -7.99,          12.03,  +3.62,  +2.08
  2,     UK0006,       0,  0.096933, 2459521.596850801259,  26.82831,   8.98783,              241.27960,  31.36522,       241.29769,       31.37994,     26.82831,      +8.98783,      26.82380,       +9.00861,  1124429.16,  3920499.88,  5026605.45,      51.129341,       -3.437672,  107862.23,  202575.73,    5854.50,             5972.02,     0.16,  48938.30,           65960.80,    -55.64,    -50.93,          76.80,  +2.21,  +0.68
  3,     UK0006,       0,  0.137281, 2459521.596851268318,  26.17469,   8.86395,              241.83041,  30.90696,       241.82599,       30.90338,     26.17469,      +8.86395,      26.17648,       +8.85887,  1125043.56,  3918291.48,  5026003.13,      51.139444,       -3.454699,  106167.51,  202060.64,    8224.59,             8342.11,   -93.20,  58741.08,           65960.80,     13.57,     12.43,          18.79,  +2.72,  +1.19
  4,     UK0006,       0,  0.177685, 2459521.596851735841,  25.46353,   8.69790,              242.40500,  30.38049,       242.40070,       30.37703,     25.46353,      +8.69790,      25.46546,       +8.69296,  1125715.69,  3915875.59,  5025344.23,      51.150500,       -3.473327,  104314.05,  201526.90,   10817.34,            10934.87,    32.69,  64170.85,           64313.25,     13.17,     12.06,          18.28,  +5.34,  +3.82
  0,     UK003H,       1,  0.025060, 2459521.596849967726,  36.16568,  30.52596,              249.09558,  54.62652,       249.14213,       54.65295,     36.16568,     +30.52596,      36.16357,      +30.56365,  1123287.30,  3924604.20,  5027724.85,      51.110571,       -3.406084,  111012.96,  135319.41,       0.00,             1567.21,   -16.45,      0.00,           59195.66,    -39.56,    -79.87,         135.86,  +2.77,  +2.11
  1,     UK003H,       1,  0.065752, 2459521.596850438509,  34.99903,  30.48209,              250.30711,  53.91112,       250.33708,       53.92786,     34.99903,     +30.48209,      34.99758,      +30.50637,  1123958.70,  3922190.92,  5027066.66,      51.121606,       -3.424644,  109160.21,  134252.32,    2589.96,             4157.17,    89.06,  63647.84,           59195.66,    -25.29,    -51.08,          87.58,  +1.80,  +1.16
  2,     UK003H,       1,  0.106428, 2459521.596850909293,  33.88636,  30.40952,              251.40120,  53.20187,       251.44102,       53.22380,     33.88636,     +30.40952,      33.88415,      +30.44183,  1124590.84,  3919918.73,  5026446.95,      51.131999,       -3.442146,  107416.22,  133286.41,    5028.51,             6595.72,    44.13,  59950.58,           59195.66,    -33.44,    -67.53,         116.62,  +1.32,  +0.70
  3,     UK003H,       1,  0.147060, 2459521.596851379611,  32.88095,  30.30179,              252.32191,  52.52707,       252.41183,       52.57600,     32.88095,     +30.30179,      32.87477,      +30.37492,  1125156.75,  3917884.63,  5025892.17,      51.141306,       -3.457846,  105855.34,  132454.70,    7211.53,             8778.74,  -253.63,  53726.77,           59195.66,    -75.40,   -151.94,         264.14,  +2.59,  +1.98
  0,     UK003J,       1,  0.028995, 2459521.596850013360,  36.40312,  30.64416,              248.97377,  54.85193,       248.88686,       54.80246,     36.40312,     +30.64416,      36.40714,      +30.57386,  1123144.96,  3925115.81,  5027864.39,      51.108232,       -3.402205,  111405.80,  135552.89,       0.00,             1018.14,  -805.79,      0.00,           66320.36,     73.59,    149.36,         253.36,  +3.02,  +2.36
  1,     UK003J,       1,  0.069419, 2459521.596850480884,  34.79693,  30.55123,              250.60292,  53.84270,       250.53447,       53.80460,     34.79693,     +30.55123,      34.80122,      +30.49581,  1124071.01,  3921787.22,  5026956.56,      51.123453,       -3.427737,  108850.33,  134077.39,    3572.29,             4590.43,   298.41,  88370.44,           66320.36,     57.48,    116.55,         199.93,  +1.49,  +0.85
  2,     UK003J,       1,  0.109727, 2459521.596850947477,  33.76159,  30.44447,              251.57174,  53.15340,       251.55917,       53.14649,     33.76159,     +30.44447,      33.76290,      +30.43427,  1124659.26,  3919672.81,  5026379.88,      51.133124,       -3.444037,  107227.50,  133183.96,    5841.49,             6859.64,   106.61,  56296.69,           66320.36,     10.53,     21.31,          36.81,  +1.23,  +0.61
  3,     UK003J,       1,  0.149987, 2459521.596851413604,  32.68630,  30.39801,              252.63073,  52.48081,       252.58644,       52.45679,     32.68630,     +30.39801,      32.69031,      +30.36200,  1125259.77,  3917514.35,  5025791.18,      51.143000,       -3.460687,  105571.25,  132305.88,    8157.99,             9176.14,   -34.96,  57538.45,           66320.36,     36.93,     74.80,         130.05,  +2.52,  +1.91
  0,     UK003Z,       0,  0.000000, 2459521.596849677619,  11.59979,  34.03346,              275.49170,  41.45190,       275.44463,       41.43429,     11.59979,     +34.03346,      11.61162,      +33.99527,  1122867.16,  3926114.33,  5028136.73,      51.103668,       -3.394482,  112172.59,  167582.23,       0.00,               53.49,    -0.16,      0.00,           63443.18,     38.74,    108.63,         141.96,  +5.09,  +3.97
  1,     UK003Z,       0,  0.040712, 2459521.596850148868,  10.55648,  33.77558,              275.98760,  40.62946,       275.97428,       40.62449,     10.55648,     +33.77558,      10.56016,      +33.76470,  1123551.79,  3923653.51,  5027465.57,      51.114918,       -3.413392,  110283.03,  167382.00,    2640.99,             2587.50,    48.18,  64869.97,           63443.18,     11.07,     30.99,          40.56,  +2.66,  +1.54
  2,     UK003Z,       0,  0.081356, 2459521.596850619186,   9.60294,  33.54673,              276.44841,  39.88206,       276.44743,       39.88170,      9.60294,     +33.54673,       9.60355,      +33.54592,  1124176.53,  3921407.95,  5026853.12,      51.125187,       -3.430680,  108559.20,  167236.40,    5050.95,             4997.47,   -23.37,  59294.56,           63443.18,      0.82,      2.30,           3.02,  +2.04,  +0.92
  3,     UK003Z,       0,  0.122084, 2459521.596851090435,   8.51442,  33.29099,              276.98062,  39.03235,       276.97598,       39.03063,      8.51442,     +33.29099,       8.51625,      +33.28715,  1124889.56,  3918845.02,  5026154.11,      51.136912,       -3.450408,  106592.27,  167111.46,    7801.52,             7748.04,   240.55,  67535.13,           63443.18,      3.92,     10.97,          14.38,  +1.93,  +0.81
  4,     UK003Z,       0,  0.162636, 2459521.596851559822,   7.68360,  33.09653,              277.38812,  38.38422,       277.37129,       38.37799,      7.68360,     +33.09653,       7.68924,      +33.08254,  1125433.91,  3916888.42,  5025620.47,      51.145865,       -3.465522,  105091.03,  167048.77,    9901.37,             9847.88,  -135.50,  51781.55,           61390.09,     14.32,     40.07,          52.54,  +3.05,  +1.94

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.