Orbital Analysis for matched events on 20210929_233705.516_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 94.95° Bg 81.22° Vg 23.45km/s
mass 0.12800g, abs. mag -0.9
Path Details
------------
start -4.53° 50.62° 84.96km
end   -4.52° 50.59° 80.56km

Orbit Details
-------------
Semimajor axis 1.61A.U., eccentricity 0.38, inclination 41.54°, Period 2.05Y, LA Sun 186.74°, last Perihelion 2019-09-15

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: 2459487.484091630206
Time: 2021-09-29 23:37:05.541553 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003E
 Convergence angle = 10.48167 deg
 R.A. = 281.29524  Dec = +70.35119 deg
Intersection 2 - Stations: UK000H and UK003J
 Convergence angle = 16.60399 deg
 R.A. = 276.34451  Dec = +76.26825 deg
Intersection 3 - Stations: UK003E and UK003J
 Convergence angle = 6.27747 deg
 R.A. = 229.65931  Dec = +82.52160 deg

Best intersection: Stations UK000H and UK003J with Qconv = 16.60 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4108026.89 +/- 112.23 m
 Y =    -94473.93 +/- 218.64 m
 Z =   4972719.87 +/- 41.33 m
 Vx =      560.94 +/- 667.86 m/s
 Vy =    -6329.25 +/- 1042.82 m/s
 Vz =    25159.64 +/- 1092.47 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.189674e+04, -2.353913e+04, -4.233751e+02, +6.978606e+04, -1.462888e+05, +1.152977e+04
-2.353913e+04, +4.874567e+04, +1.448512e+03, -1.362270e+05, +2.989241e+05, -2.389504e+04
-4.233751e+02, +1.448512e+03, +1.691500e+03, +2.534911e+03, +2.300561e+03, -1.029528e+03
+6.978606e+04, -1.362270e+05, +2.534911e+03, +4.816629e+05, -9.871249e+05, +7.522995e+04
-1.462888e+05, +2.989241e+05, +2.300561e+03, -9.871249e+05, +2.140511e+06, -1.670417e+05
+1.152977e+04, -2.389504e+04, -1.029528e+03, +7.522995e+04, -1.670417e+05, +1.781438e+04

Timing offsets (from input data):
    UK000H: -0.000176 s
    UK003E: -0.000372 s
    UK003J: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 23:37:05.541553 UTC
  Lon     = +-4.535698 +/- 0.0030 deg
  Lat     = +50.618377 +/- 0.0008 deg
  Lat geo = +50.432019 +/- 0.0008 deg
  Ht      =   85337.78 +/- 82.85 m

  JD dynamic   = 2459487.484892657027 
  LST apparent = 358.6825784066 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 275.06473 +/- 2.7847 deg
  Dec       = +75.82635 +/- 3.0528 deg
  Azimuth   = 337.72694 +/- 4.9938 deg
  Elevation = +50.05643 +/- 0.3438 deg
  Vavg      =  26.34864 +/- 0.7259 km/s
  Vinit     =  25.94960 +/- 0.6357 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 275.37984 +/- 2.7847 deg
  Dec       = +76.46540 +/- 3.0528 deg
  Azimuth   = 338.68698 +/- 4.9938 deg
  Elevation = +50.24527 +/- 0.3438 deg
  Vavg      =  26.27735 +/- 0.7259 km/s
  Vinit     =  25.87832 +/- 0.6357 km/s
Radiant (geocentric, J2000):
  R.A.   = 267.02465 +/- 3.8461 deg
  Dec    = +75.29296 +/- 3.0556 deg
  Vg     =  23.44788 +/- 0.6964 km/s
  Vinf   =  25.94960 +/- 0.6357 km/s
  Zc     =  40.11607 +/- 0.3488 deg
  Zg     =  42.23477 +/- 0.4318 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  94.95156 +/- 34.8449 deg
  Bg     = +81.21811 +/- 1.6416 deg
  Vh     =  34.95343 +/- 1.4876 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 278.04584 +/- 0.9890 deg
  Bh     = +41.53129 +/- 0.4871 deg
  Vh_x   =  -3.66232 +/- 0.7124 km/s
  Vh_y   =  25.90835 +/- 1.2323 km/s
  Vh_z   = -23.17514 +/- 0.7335 km/s
Orbit:
  La Sun = 186.742717 +/- nan deg
  a      =   1.613827 +/- 1.5405 AU
  e      =   0.379699 +/- 0.1274
  i      =  41.538627 +/- 0.4617 deg
  peri   = 183.544835 +/- 1.3007 deg
  node   = 186.744503 +/- 0.0000 deg
  Pi     =  10.289338 +/- 1.3007 deg
  q      =   1.001058 +/- 0.0012 AU
  f      = 356.453484 +/- 1.3007 deg
  M      = 358.524410 +/- 0.3528 deg
  Q      =   2.226596 +/- 3.0820 AU
  n      =   0.480750 +/- 0.1134 deg/day
  T      =   2.050152 +/- 4.7871 years
  Last perihelion JD = 2458741.723047 (2019-09-15 05:21:11.249807) +/- 1747.8398 days
  Tj     =   3.996002 +/- 0.6229
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.574570e-02, -1.245714e-04, -1.546051e+02, +4.234613e-08, +2.514451e-03, -9.358372e-04
q   , -1.245714e-04, +1.148630e-06, +1.395209e+00, -3.378940e-10, -2.293977e-05, +7.448505e-06
Tp  , -1.546051e+02, +1.395209e+00, +2.126578e+06, -4.377795e-04, -2.518631e+01, +9.605711e+00
node, +4.234613e-08, -3.378940e-10, -4.377795e-04, +1.201119e-13, +6.648708e-09, -2.653200e-09
peri, +2.514451e-03, -2.293977e-05, -2.518631e+01, +6.648708e-09, +4.810311e-04, -1.468574e-04
i   , -9.358372e-04, +7.448505e-06, +9.605711e+00, -2.653200e-09, -1.468574e-04, +5.861711e-05

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: UK003J
  Avg. res. = 3.559e-06 s
  Stddev    = 1.89e-03 s

Begin point on the trajectory:
  Lon =    -4.534038 +/- 0.0028 deg
  Lat =    50.615797 +/- 0.0007 deg
  Ht  = 84962.56 +/- 76.32 m
End point on the trajectory:
  Lon =    -4.515470 +/- 0.0026 deg
  Lat =    50.585527 +/- 0.0004 deg
  Ht  = 80563.90 +/- 91.57 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    84724.05,    80569.08,          0.008623,     32.04,      3.73,              58.20, 0.7223,    True,    True, {"ff_name": "FF_UK000H_20210929_233655_810_0470784.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,  10.514932,   0.000000,    84962.56,    80864.38,          0.015588,     60.18,     12.76,              68.57, 0.8666,    True,    True, {"ff_name": "FF_UK003E_20210929_233659_328_0472320.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    84492.78,    80563.90,          0.016426,     53.30,     14.56,              68.99, 0.8714,    True,    True, {"ff_name": "FF_UK003J_20210929_233705_786_0469248.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,     UK000H,       0,  0.030437, 2459487.484092101920, 290.94986,  12.99174,              263.14114,  22.32004,       263.14440,       22.31710,    290.94986,     +12.99174,     290.94562,      +12.99142,  4108009.58,   -94278.67,  4971943.70,      50.614157,       -4.533049,   84724.05,  215019.66,       0.00,              800.54,     0.61,      0.00,           26113.54,     -1.83,    -15.71,          15.17,  +1.63,  -0.03
  1,     UK000H,       0,  0.070633, 2459487.484092567116, 290.98125,  12.76310,              262.95705,  22.16456,       262.97164,       22.15139,    290.98125,     +12.76310,     290.96219,      +12.76168,  4107988.79,   -94044.02,  4971010.91,      50.609085,       -4.529952,   83986.52,  214601.77,     962.07,             1762.62,   -80.38,  23934.58,           26113.54,     -8.19,    -70.21,          67.94,  +1.35,  -0.31
  2,     UK000H,       0,  0.110861, 2459487.484093032777, 290.98370,  12.49440,              262.76896,  21.96006,       262.77085,       21.95836,    290.98370,     +12.49440,     290.98161,      +12.49422,  4107964.67,   -93771.87,  4969929.08,      50.603201,       -4.526334,   83131.20,  214119.73,    2077.88,             2878.42,    -8.48,  27736.92,           26113.54,     -1.05,     -9.06,           8.79,  +1.16,  -0.49
  3,     UK000H,       0,  0.151077, 2459487.484093497973, 290.99653,  12.24103,              262.58360,  21.77361,       262.58149,       21.77551,    290.99653,     +12.24103,     290.99989,      +12.24123,  4107941.95,   -93515.60,  4968910.39,      50.597659,       -4.522937,   82325.86,  213670.75,    3128.55,             3929.09,    -1.39,  26125.88,           26113.54,      1.18,     10.12,           9.83,  +0.68,  -0.97
  4,     UK000H,       0,  0.191301, 2459487.484093963634, 291.02148,  11.97428,              262.37969,  21.58428,       262.38198,       21.58222,    291.02148,     +11.97428,     291.01921,      +11.97405,  4107918.07,   -93246.09,  4967839.05,      50.591829,       -4.519356,   81478.97,  213202.54,    4233.53,             5034.07,    59.78,  27470.51,           26440.34,     -1.27,    -10.94,          10.66,  +1.07,  -0.57
  5,     UK000H,       0,  0.231549, 2459487.484094429761, 291.03198,  11.68520,              262.17267,  21.36851,       262.16720,       21.37342,    291.03198,     +11.68520,     291.04009,      +11.68572,  4107892.40,   -92956.51,  4966687.94,      50.585562,       -4.515495,   80569.08,  212703.89,    5420.78,             6221.32,   202.62,  29498.49,           26970.93,      3.03,     26.09,          25.47,  +2.14,  +0.50
  0,     UK003E,       0,  0.024659, 2459487.484091916122, 301.32137,   3.54459,              247.97384,  21.04253,       247.94845,       21.06381,    301.32137,      +3.54459,     301.35308,       +3.54818,  4108016.31,   -94354.55,  4972245.35,      50.615797,       -4.534038,   84962.56,  226449.97,       0.00,              489.42,  -160.58,      0.00,           27633.06,     26.11,    123.16,         114.67,  +2.29,  +0.52
  1,     UK003E,       0,  0.064855, 2459487.484092381317, 301.37439,   3.25748,              247.74951,  20.83922,       247.74151,       20.84591,    301.37439,      +3.25748,     301.38454,       +3.25861,  4107990.43,   -94062.57,  4971084.67,      50.609486,       -4.530144,   84044.83,  226128.86,    1197.12,             1686.55,    -6.53,  29782.15,           27633.06,      8.22,     38.73,          36.12,  +1.61,  -0.16
  2,     UK003E,       0,  0.105059, 2459487.484092846513, 301.40700,   2.97734,              247.54783,  20.62954,       247.54174,       20.63464,    301.40700,      +2.97734,     301.41495,       +2.97820,  4107965.44,   -93780.60,  4969963.81,      50.603390,       -4.526389,   83158.66,  225824.68,    2353.18,             2842.60,   106.24,  28754.65,           27633.06,      6.26,     29.49,          27.53,  +1.29,  -0.48
  3,     UK003E,       0,  0.145223, 2459487.484093311708, 301.43823,   2.74380,              247.37660,  20.45690,       247.37552,       20.45781,    301.43823,      +2.74380,     301.44008,       +2.74395,  4107944.62,   -93545.65,  4969029.83,      50.598309,       -4.523288,   82420.28,  225577.07,    3316.48,             3805.91,    27.31,  23984.39,           27633.06,      1.11,      5.24,           4.89,  +0.90,  -0.87
  4,     UK003E,       0,  0.185399, 2459487.484093776438, 301.46647,   2.49705,              247.20022,  20.27159,       247.20061,       20.27126,    301.46647,      +2.49705,     301.46665,       +2.49699,  4107922.71,   -93298.49,  4968047.36,      50.592962,       -4.520017,   81643.63,  225320.20,    4329.80,             4819.22,    -1.92,  25221.85,           26823.70,     -0.41,     -1.92,           1.79,  +1.20,  -0.56
  5,     UK003E,       0,  0.225571, 2459487.484094241634, 301.50922,   2.25052,              247.01177,  20.09464,       247.02514,       20.08349,    301.50922,      +2.25052,     301.49336,       +2.24863,  4107900.73,   -93050.50,  4967061.55,      50.587596,       -4.516735,   80864.38,  225066.69,    5346.56,             5835.98,   -27.61,  25310.26,           26376.25,    -13.71,    -64.53,          60.46,  +2.81,  +1.05
  0,     UK003J,       1,  0.000000, 2459487.484091630206, 307.52374,   4.07221,              242.23515,  25.31246,       242.19799,       25.34216,    307.52374,      +4.07221,     307.56816,       +4.07834,  4108025.75,   -94461.14,  4972669.06,      50.618101,       -4.535417,   85297.60,  193383.21,       0.00,               52.41,    42.31,      0.00,           25772.12,     39.83,    145.96,         161.38,  +4.96,  +3.53
  1,     UK003J,       0,  0.040236, 2459487.484092095867, 307.58264,   3.77811,              242.00122,  25.09997,       241.98082,       25.11625,    307.58264,      +3.77811,     307.60715,       +3.78147,  4108003.06,   -94205.09,  4971651.21,      50.612567,       -4.532023,   84492.78,  193106.57,    1049.81,             1102.22,    48.01,  26091.25,           25772.12,     21.86,     80.04,          88.63,  +2.17,  +0.74
  2,     UK003J,       0,  0.080456, 2459487.484092561528, 307.62431,   3.49948,              241.79328,  24.89057,       241.77731,       24.90330,    307.62431,      +3.49948,     307.64369,       +3.50211,  4107981.77,   -93964.80,  4970696.04,      50.607373,       -4.528848,   83737.57,  192852.34,    2034.96,             2087.38,   -10.52,  24494.22,           25772.12,     17.10,     62.61,          69.42,  +1.69,  +0.26
  3,     UK003J,       0,  0.120700, 2459487.484093027189, 307.69004,   3.19219,              241.54662,  24.67017,       241.55154,       24.66625,    307.69004,      +3.19219,     307.68453,       +3.19137,  4107958.14,   -93698.25,  4969636.45,      50.601609,       -4.525308,   82899.86,  192574.77,    3127.82,             3180.23,    38.02,  27155.73,           25772.12,     -5.27,    -19.30,          21.43,  +1.07,  -0.35
  4,     UK003J,       0,  0.160928, 2459487.484093492851, 307.74512,   2.90448,              241.32235,  24.45994,       241.34170,       24.44456,    307.74512,      +2.90448,     307.72250,       +2.90128,  4107936.15,   -93450.10,  4968650.03,      50.596242,       -4.522024,   82120.04,  192322.19,    4145.21,             4197.63,    11.51,  25290.71,           25771.66,    -20.71,    -75.71,          84.19,  +0.75,  -0.67
  5,     UK003J,       0,  0.201152, 2459487.484093958046, 307.76109,   2.62651,              241.14051,  24.23616,       241.14338,       24.23388,    307.76109,      +2.62651,     307.75839,       +2.62603,  4107915.34,   -93215.25,  4967716.47,      50.591161,       -4.518925,   81382.06,  192088.26,    5108.09,             5160.50,   -69.42,  23937.72,           25509.59,     -3.06,    -11.21,          12.48,  +1.50,  +0.08
  6,     UK003J,       0,  0.241404, 2459487.484094424173, 307.79081,   2.31915,              240.92914,  23.99506,       240.92349,       23.99954,    307.79081,      +2.31915,     307.79849,       +2.32009,  4107892.26,   -92954.87,  4966681.40,      50.585527,       -4.515470,   80563.90,  191833.19,    6175.65,             6228.06,   -46.38,  26522.03,           25524.52,      6.03,     22.08,          24.62,  +3.75,  +2.34

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.