Orbital Analysis for matched events on 20211111_214741.781_UK

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Summary for Event
-----------------
shower ID -1 spo (Sporadic)
Lg 45.20° Bg 5.19° Vg 18.46km/s
mass 0.06400g, abs. mag 0.9
best visual mag 1.0
Path Details
------------
start -0.61° 50.60° 82.66km
end   -0.64° 50.62° 77.70km

Orbit Details
-------------
Semimajor axis 1.97A.U., eccentricity 0.67, inclination 3.04°, Period 2.77Y, LA Sun 229.43°, last Perihelion 2019-03-22

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: 2459530.408122468740
Time: 2021-11-11 21:47:41.821492 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003D and UK003N
 Convergence angle = 40.26516 deg
 R.A. =  41.48616  Dec = +23.55273 deg

Best intersection: Stations UK003D and UK003N with Qconv = 40.27 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3917818.49 +/- 54.08 m
 Y =   1240875.83 +/- 10.16 m
 Z =   4969814.42 +/- 10.82 m
 Vx =    15078.38 +/- 284.62 m/s
 Vy =    12726.18 +/- 237.94 m/s
 Vz =     8657.31 +/- 160.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.427788e+03, +2.908291e+02, +4.000944e+02, +1.551818e+04, +4.478351e+02, +8.505763e+02
+2.908291e+02, +1.076920e+02, +5.700202e+01, +5.040823e+02, +5.937987e+01, -1.373572e+01
+4.000944e+02, +5.700202e+01, +1.337002e+02, +1.337906e+03, -1.780455e+02, +3.251515e+02
+1.551818e+04, +5.040823e+02, +1.337906e+03, +9.022316e+04, +2.811936e+03, +4.287398e+03
+4.478351e+02, +5.937987e+01, -1.780455e+02, +2.811936e+03, +9.690605e+02, -8.803220e+02
+8.505763e+02, -1.373572e+01, +3.251515e+02, +4.287398e+03, -8.803220e+02, +1.379577e+03

Timing offsets (from input data):
    UK002B: 0.000000 s
    UK003D: 0.000232 s
    UK003N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-11 21:47:41.821492 UTC
  Lon     = +-0.602916 +/- 0.0002 deg
  Lat     = +50.598461 +/- 0.0003 deg
  Lat geo = +50.412022 +/- 0.0003 deg
  Ht      =   83429.13 +/- 39.21 m

  JD dynamic   = 2459530.408923674840 
  LST apparent = 17.5743597284 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  40.16442 +/- 0.5307 deg
  Dec       = +23.69026 +/- 0.2294 deg
  Azimuth   = 138.54827 +/- 0.9755 deg
  Elevation = +57.90158 +/- 0.1264 deg
  Vavg      =  20.99354 +/- 0.1972 km/s
  Vinit     =  21.54674 +/- 0.2024 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  40.96317 +/- 0.5307 deg
  Dec       = +23.56582 +/- 0.2294 deg
  Azimuth   = 137.44353 +/- 0.9755 deg
  Elevation = +57.45204 +/- 0.1264 deg
  Vavg      =  21.10077 +/- 0.1972 km/s
  Vinit     =  21.65397 +/- 0.2024 km/s
Radiant (geocentric, J2000):
  R.A.   =  41.11174 +/- 0.5919 deg
  Dec    = +21.34671 +/- 0.1969 deg
  Vg     =  18.45663 +/- 0.2379 km/s
  Vinf   =  21.54674 +/- 0.2024 km/s
  Zc     =  31.95890 +/- 0.1273 deg
  Zg     =  34.49326 +/- 0.1710 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  45.20085 +/- 0.5735 deg
  Bg     =  +5.18584 +/- 0.1243 deg
  Vh     =  36.63915 +/- 0.2809 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 350.23022 +/- 0.1573 deg
  Bh     =  +2.61065 +/- 0.0628 deg
  Vh_x   = -36.07032 +/- 0.2930 km/s
  Vh_y   =   6.21084 +/- 0.0491 km/s
  Vh_z   =  -1.66886 +/- 0.0445 km/s
Orbit:
  La Sun = 229.427833 +/- -0.0000 deg
  a      =   1.972148 +/- 0.0751 AU
  e      =   0.666943 +/- 0.0133
  i      =   3.038945 +/- 0.0737 deg
  peri   = 260.862753 +/- 1.0594 deg
  node   = 229.418156 +/- 0.0002 deg
  Pi     = 130.280909 +/- 1.0593 deg
  q      =   0.656837 +/- 0.0028 AU
  f      = 279.146566 +/- 1.0593 deg
  M      = 343.724739 +/- 1.4561 deg
  Q      =   3.287459 +/- 0.1475 AU
  n      =   0.355873 +/- 0.0251 deg/day
  T      =   2.769554 +/- 0.1520 years
  Last perihelion JD = 2458564.545156 (2019-03-22 01:05:01.490848) +/- 56.1763 days
  Tj     =   3.554952 +/- 0.1133
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.066802e-04, +4.260629e-05, -8.714477e-01, +1.251801e-06, -1.633051e-02, +3.782182e-04
q   , +4.260629e-05, +8.955421e-06, -1.801648e-01, +3.534917e-07, -3.391407e-03, +1.067553e-04
Tp  , -8.714477e-01, -1.801648e-01, +3.687065e+03, -5.754448e-03, +6.885786e+01, -1.742797e+00
node, +1.251801e-06, +3.534917e-07, -5.754448e-03, +6.527788e-08, -1.114802e-04, +1.973557e-05
peri, -1.633051e-02, -3.391407e-03, +6.885786e+01, -1.114802e-04, +1.294425e+00, -3.364712e-02
i   , +3.782182e-04, +1.067553e-04, -1.742797e+00, +1.973557e-05, -3.364712e-02, +5.971772e-03

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: UK003N
  Avg. res. = 1.947e-06 s
  Stddev    = 1.40e-03 s

Begin point on the trajectory:
  Lon =    -0.607365 +/- 0.0002 deg
  Lat =    50.601667 +/- 0.0003 deg
  Ht  = 82660.73 +/- 29.90 m
End point on the trajectory:
  Lon =    -0.637335 +/- 0.0002 deg
  Lat =    50.622400 +/- 0.0003 deg
  Ht  = 77695.18 +/- 30.47 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
    UK002B,    True,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,    83163.96,    76791.61,          0.041871,       nan,       nan,              11.97, 0.0000,    True,    True, {"ff_name": "FF_UK002B_20211111_214736_320_0432384.fits"}
    UK003D,   False,    -0.649870,    51.914450,   87.00,   3.549141,   1.369077,    82216.87,    77900.38,          0.008774,     25.28,      3.47,              40.35, 1.0000,    True,    True, {"ff_name": "FF_UK003D_20211111_214732_505_0440320.fits"}
    UK003N,   False,    -0.162561,    51.236425,  112.00,   0.009857,  29.333210,    82660.73,    77695.18,          0.005451,     10.22,      2.08,              41.00, 1.0000,    True,    True, {"ff_name": "FF_UK003N_20211111_214734_009_0441088.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,     UK002B,       1,  0.016713, 2459530.408122661989,  54.43274,  28.65309,              113.75637,  54.17606,       113.73817,       54.20076,     54.43274,     +28.65309,      54.42338,      +28.67868,  3917599.43,  1240690.94,  4969688.65,      50.599567,       -0.604353,   83163.96,  102167.44,       0.00,              313.02,   -17.20,      0.00,           20625.24,      5.68,    -47.62,          96.83,  +2.23,  +2.18
  1,     UK002B,       1,  0.056733, 2459530.408123125322,  54.49718,  28.78427,              113.53574,  54.23733,       113.58714,       54.16659,     54.49718,     +28.78427,      54.52496,      +28.71131,  3917081.05,  1240253.43,  4969391.02,      50.602185,       -0.608154,   82536.44,  101441.64,     740.76,             1053.78,  -138.74,  18509.74,           20625.24,    -15.61,    135.18,         276.70,  +3.45,  +3.42
  2,     UK002B,       1,  0.096829, 2459530.408123589586,  54.61047,  28.70348,              113.49957,  54.11105,       113.47626,       54.14242,     54.61047,     +28.70348,      54.59893,      +28.73605,  3916700.31,  1239932.09,  4969172.41,      50.604108,       -0.610991,   82075.54,  100907.02,    1284.83,             1597.85,  -458.61,  13569.10,           20625.24,      7.13,    -59.83,         123.17,  +1.48,  +1.46
  3,     UK002B,       1,  0.136949, 2459530.408124053851,  54.79593,  28.76376,              113.22370,  54.04868,       113.20279,       54.07662,     54.79593,     +28.76376,      54.78588,      +28.79281,  3915798.14,  1239170.65,  4968654.43,      50.608667,       -0.617487,   80983.49,   99649.58,    2574.02,             2887.04,   -33.88,  32133.39,           20625.24,      6.27,    -52.70,         109.84,  +1.73,  +1.74
  4,     UK002B,       1,  0.177037, 2459530.408124517649,  54.93314,  28.81592,              113.01157,  54.00800,       112.99687,       54.02756,     54.93314,     +28.81592,      54.92644,      +28.83628,  3915127.75,  1238604.84,  4968269.52,      50.612054,       -0.622359,   80172.04,   98714.15,    3531.99,             3845.01,    60.33,  23896.66,           22196.07,      4.33,    -36.58,          76.96,  +1.50,  +1.53
  5,     UK002B,       1,  0.217141, 2459530.408124981914,  55.08891,  28.84465,              112.80570,  53.93882,       112.77838,       53.97482,     55.08891,     +28.84465,      55.07619,      +28.88222,  3914429.04,  1238015.13,  4967868.36,      50.615586,       -0.627432,   79326.33,   97740.01,    4530.43,             4843.45,   194.66,  24896.31,           23030.63,      7.94,    -66.79,         141.93,  +1.98,  +2.03
  6,     UK002B,       1,  0.257221, 2459530.408125445712,  55.21551,  28.89193,              112.61178,  53.90032,       112.58960,       53.92942,     55.21551,     +28.89193,      55.20556,      +28.92233,  3913832.78,  1237511.88,  4967526.01,      50.618600,       -0.631787,   78604.63,   96908.19,    5382.49,             5695.51,   183.12,  21258.90,           23138.80,      6.35,    -53.58,         114.83,  +1.23,  +1.30
  7,     UK002B,       1,  0.297325, 2459530.408125909977,  55.36767,  28.91847,              112.41341,  53.83129,       112.37780,       53.87760,     55.36767,     +28.91847,      55.35145,      +28.96697,  3913175.76,  1236957.36,  4967148.78,      50.621922,       -0.636571,   77809.43,   95992.79,    6321.34,             6634.37,   257.87,  23410.60,           23206.53,     10.07,    -84.60,         183.08,  +1.61,  +1.70
  8,     UK002B,       1,  0.337445, 2459530.408126374241,  55.55586,  28.98844,              112.12681,  53.77331,       112.10020,       53.80772,     55.55586,     +28.98844,      55.54429,      +29.02452,  3912334.76,  1236247.55,  4966665.92,      50.626176,       -0.642650,   76791.61,   94823.65,    7523.12,             7836.15,   595.19,  29954.61,           23688.36,      7.36,    -62.17,         136.17,  +3.34,  +3.46
  0,     UK003D,       0,  0.063285, 2459530.408123198431,  18.52685,  -9.52160,              178.87758,  28.55791,       178.89209,       28.56614,     18.52685,      -9.52160,      18.51410,       -9.51353,  3916817.05,  1240030.62,  4969239.44,      50.603519,       -0.610031,   82216.87,  168219.52,       0.00,             1431.03,    97.32,      0.00,           21130.75,     -6.06,    -44.10,          54.59,  +3.45,  +2.32
  1,     UK003D,       1,  0.103405, 2459530.408123663161,  18.38354,  -9.60900,              179.03953,  28.47212,       178.98757,       28.44258,     18.38354,      -9.60900,      18.43063,       -9.63805,  3916342.08,  1239629.73,  4968966.73,      50.605918,       -0.613530,   81641.91,  167695.20,     678.73,             2109.76,   -88.40,  16917.61,           21130.75,     21.52,    157.77,         195.85,  +2.30,  +1.18
  2,     UK003D,       0,  0.143573, 2459530.408124127891,  18.31553,  -9.79876,              179.11789,  28.28305,       179.11169,       28.27953,     18.31553,      -9.79876,      18.32170,       -9.80222,  3915720.21,  1239104.88,  4968609.69,      50.609060,       -0.618060,   80889.17,  167010.52,    1567.37,             2998.40,   -65.25,  22122.93,           21130.75,      2.57,     18.74,          23.36,  +1.86,  +0.75
  3,     UK003D,       0,  0.183753, 2459530.408124593087,  18.20175,  -9.98188,              179.24692,  28.10093,       179.24678,       28.10085,     18.20175,      -9.98188,      18.20264,       -9.98196,  3915045.01,  1238535.01,  4968222.02,      50.612473,       -0.622967,   80071.89,  166269.36,    2532.22,             3963.25,    33.85,  24013.21,           21130.75,      0.06,      0.42,           0.52,  +1.78,  +0.68
  4,     UK003D,       0,  0.223901, 2459530.408125057817,  18.10538, -10.13602,              179.35574,  27.94752,       179.36086,       27.95042,     18.10538,     -10.13602,      18.10170,      -10.13315,  3914481.56,  1238059.45,  4967898.51,      50.615321,       -0.627091,   79389.87,  165652.63,    3337.39,             4768.41,   -26.04,  20054.96,           21237.04,     -2.11,    -15.39,          19.34,  +2.14,  +1.04
  5,     UK003D,       0,  0.264073, 2459530.408125522546,  17.98201, -10.30214,              179.49426,  27.78217,       179.48945,       27.77945,     17.98201,     -10.30214,      17.98745,      -10.30484,  3913846.63,  1237523.58,  4967533.96,      50.618530,       -0.631718,   78621.38,  164959.68,    4244.68,             5675.71,    15.68,  22585.26,           21460.08,      1.97,     14.39,          18.17,  +1.04,  -0.05
  6,     UK003D,       0,  0.304233, 2459530.408125987276,  17.86775, -10.46097,              179.62207,  27.62389,       179.61100,       27.61763,     17.86775,     -10.46097,      17.87902,      -10.46719,  3913250.94,  1237020.81,  4967191.94,      50.621542,       -0.636071,   77900.38,  164311.47,    5095.92,             6526.94,     1.59,  21196.10,           21511.44,      4.52,     33.07,          41.90,  +2.54,  +1.46
  0,     UK003N,       1,  0.000000, 2459530.408122468740,   1.69901,   9.90607,              203.73220,  46.55846,       203.73689,       46.56226,      1.69901,      +9.90607,       1.69683,       +9.91056,  3917815.18,  1240873.03,  4969812.52,      50.598477,       -0.602771,   83425.13,  114081.41,       0.00,                4.73,    34.61,      0.00,           21374.77,      1.98,     -9.72,          17.93,  +6.27,  +5.98
  1,     UK003N,       0,  0.040188, 2459530.408122933935,   1.42720,   9.78619,              204.06309,  46.37368,       204.06286,       46.37349,      1.42720,      +9.78619,       1.42748,       +9.78597,  3917183.72,  1240340.08,  4969449.96,      50.601667,       -0.607365,   82660.73,  113386.43,     902.34,              907.07,    71.03,  22453.07,           21374.77,     -0.10,      0.47,           0.88,  +2.05,  +1.78
  2,     UK003N,       0,  0.080368, 2459530.408123399131,   1.17320,   9.67120,              204.36948,  46.19743,       204.36708,       46.19551,      1.17320,      +9.67120,       1.17465,       +9.66891,  3916598.50,  1239846.16,  4969113.96,      50.604623,       -0.611636,   81952.32,  112745.26,    1738.60,             1743.33,    41.54,  20812.87,           21374.77,     -1.00,      4.89,           9.13,  +1.66,  +1.40
  3,     UK003N,       0,  0.120556, 2459530.408123863861,   0.91561,   9.54931,              204.67651,  46.01291,       204.67616,       46.01263,      0.91561,      +9.54931,       0.91627,       +9.54898,  3916006.63,  1239346.62,  4968774.13,      50.607613,       -0.615956,   81235.87,  112099.42,    2584.38,             2589.11,    21.40,  21045.50,           21374.77,     -0.14,      0.70,           1.31,  +1.65,  +1.40
  4,     UK003N,       0,  0.160740, 2459530.408124329057,   0.66432,   9.42481,              204.97221,  45.82686,       204.97849,       45.83184,      0.66432,      +9.42481,       0.66207,       +9.43078,  3915430.87,  1238860.68,  4968443.56,      50.610522,       -0.620164,   80538.94,  111473.87,    3407.13,             3411.86,   -21.68,  20474.62,           21143.08,      2.57,    -12.64,          23.86,  +1.56,  +1.32
  5,     UK003N,       0,  0.200944, 2459530.408124794252,   0.37461,   9.29362,              205.31584,  45.62345,       205.31866,       45.62568,      0.37461,      +9.29362,       0.37414,       +9.29629,  3914784.35,  1238315.01,  4968072.35,      50.613790,       -0.624870,   79756.37,  110774.15,    4331.01,             4335.73,    35.92,  22979.65,           21339.39,      1.15,     -5.63,          10.69,  +1.47,  +1.25
  6,     UK003N,       0,  0.241128, 2459530.408125259448,   0.11452,   9.17882,              205.62372,  45.44298,       205.62087,       45.44074,      0.11452,      +9.17882,       0.11685,       +9.17612,  3914214.55,  1237834.10,  4967745.20,      50.616670,       -0.629038,   79066.69,  110160.67,    5145.24,             5149.96,   -15.68,  20262.48,           21294.10,     -1.15,      5.65,          10.80,  +1.64,  +1.43
  7,     UK003N,       0,  0.281324, 2459530.408125724643, 359.84403,   9.05181,              205.93914,  45.24724,       205.93660,       45.24525,    359.84403,      +9.05181,     359.84639,       +9.04940,  3913621.40,  1237333.48,  4967404.64,      50.619669,       -0.633373,   78348.76,  109524.74,    5992.84,             5997.57,   -34.17,  21086.84,           21257.96,     -1.02,      5.02,           9.64,  +1.33,  +1.13
  8,     UK003N,       0,  0.321512, 2459530.408126189839, 359.60135,   8.92111,              206.21392,  45.05492,       206.22602,       45.06436,    359.60135,      +8.92111,     359.59707,       +8.93257,  3913081.41,  1236877.73,  4967094.61,      50.622400,       -0.637335,   77695.18,  108948.68,    6764.47,             6769.20,  -128.46,  19200.49,           21103.93,      4.83,    -23.73,          45.84,  +1.97,  +1.78
  9,     UK003N,       1,  0.361632, 2459530.408126654103, 359.38989,   8.86231,              206.47407,  44.93974,       206.45197,       44.92254,    359.38989,      +8.86231,     359.40167,       +8.84139,  3912664.79,  1236526.10,  4966855.40,      50.624507,       -0.640431,   77190.89,  108506.74,    7359.82,             7364.54,  -397.57,  14839.09,           20684.46,     -8.80,     43.14,          83.69,  +4.78,  +4.60

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.