Orbital Analysis for matched events on 20210810_221712.345_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 31.93° Bg 57.01° Vg 46.80km/s
mass 0.07535g, abs. mag -0.6
Path Details
------------
start -3.66° 51.80° 97.03km
end   -3.76° 51.75° 82.33km

Orbit Details
-------------
Semimajor axis 6.84A.U., eccentricity 0.86, inclination 82.84°, Period 17.90Y, LA Sun 138.20°, last Perihelion 2003-10-02

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: 2459437.428615114652
Time: 2021-08-10 22:17:12.345906 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001Z and UK0020
 Convergence angle = 19.12336 deg
 R.A. = 350.95006  Dec = +62.04768 deg
Intersection 2 - Stations: UK001Z and UK003H
 Convergence angle = 26.57548 deg
 R.A. = 350.98032  Dec = +61.81385 deg
Intersection 3 - Stations: UK0020 and UK003H
 Convergence angle = 45.69874 deg
 R.A. = 350.86630  Dec = +61.90663 deg

Best intersection: Stations UK0020 and UK003H with Qconv = 45.70 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1388758.32 +/- 22.18 m
 Y =  -3764275.99 +/- 11.92 m
 Z =   5065581.95 +/- 58.39 m
 Vx =    22034.58 +/- 168.09 m/s
 Vy =    -3603.94 +/- 43.10 m/s
 Vz =    42609.18 +/- 136.40 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.248070e+02, -9.379412e+01, +2.793461e+02, +2.936424e+02, -3.304942e+02, -9.697284e+02
-9.379412e+01, +1.508802e+02, -3.096818e+02, -9.037755e+01, +4.876232e+02, +6.911804e+01
+2.793461e+02, -3.096818e+02, +3.598638e+03, -3.791349e+03, -4.282436e+02, +4.551710e+03
+2.936424e+02, -9.037755e+01, -3.791349e+03, +1.111138e+04, +4.709695e+02, -1.369229e+04
-3.304942e+02, +4.876232e+02, -4.282436e+02, +4.709695e+02, +2.596543e+03, -6.834494e+02
-9.697284e+02, +6.911804e+01, +4.551710e+03, -1.369229e+04, -6.834494e+02, +1.889087e+04

Timing offsets (from input data):
    UK001Z: -0.000044 s
    UK0020: 0.000000 s
    UK003H: -0.000036 s

Reference point on the trajectory:
  Time: 2021-08-10 22:17:12.345906 UTC
  Lon     = +-3.659320 +/- 0.0003 deg
  Lat     = +51.802750 +/- 0.0003 deg
  Lat geo = +51.618391 +/- 0.0003 deg
  Ht      =   97060.97 +/- 50.55 m

  JD dynamic   = 2459437.429415855557 
  LST apparent = 290.2505839957 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 350.71104 +/- 0.1344 deg
  Dec       = +62.34531 +/- 0.1780 deg
  Azimuth   =  47.66491 +/- 0.3143 deg
  Elevation = +56.88873 +/- 0.0786 deg
  Vavg      =  47.25136 +/- 0.1072 km/s
  Vinit     =  48.10461 +/- 0.0751 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 351.07703 +/- 0.1344 deg
  Dec       = +62.07693 +/- 0.1780 deg
  Azimuth   =  48.09102 +/- 0.3143 deg
  Elevation = +56.67276 +/- 0.0786 deg
  Vavg      =  47.37025 +/- 0.1072 km/s
  Vinit     =  48.22350 +/- 0.0751 km/s
Radiant (geocentric, J2000):
  R.A.   = 351.45946 +/- 0.1348 deg
  Dec    = +62.14355 +/- 0.1809 deg
  Vg     =  46.80482 +/- 0.0772 km/s
  Vinf   =  48.10461 +/- 0.0751 km/s
  Zc     =  33.23568 +/- 0.0781 deg
  Zg     =  33.70405 +/- 0.0803 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  31.93363 +/- 0.2248 deg
  Bg     = +57.01108 +/- 0.1472 deg
  Vh     =  40.25971 +/- 0.1099 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 284.64155 +/- 0.5367 deg
  Bh     = +77.20271 +/- 0.1500 deg
  Vh_x   =  -2.25412 +/- 0.0997 km/s
  Vh_y   =   8.62803 +/- 0.0659 km/s
  Vh_z   = -39.25965 +/- 0.1269 km/s
Orbit:
  La Sun = 138.200151 +/- -0.0000 deg
  a      =   6.843992 +/- 0.4289 AU
  e      =   0.857371 +/- 0.0095
  i      =  82.843132 +/- 0.0556 deg
  peri   = 203.073706 +/- 0.5347 deg
  node   = 138.200574 +/- 0.0000 deg
  Pi     = 341.274281 +/- 0.5347 deg
  q      =   0.976149 +/- 0.0015 AU
  f      = 336.922422 +/- 0.5347 deg
  M      = 359.064518 +/- 0.1238 deg
  Q      =  12.711836 +/- 0.8564 AU
  n      =   0.055048 +/- 0.0058 deg/day
  T      =  17.904612 +/- 1.6522 years
  Last perihelion JD = 2452914.649874 (2003-10-02 03:35:49.093272) +/- 603.8585 days
  Tj     =   0.907485 +/- 0.0508
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.640708e-05, +1.396798e-05, -6.119131e+00, +2.994360e-10, -8.749109e-05, -4.386729e-06
q   , +1.396798e-05, +2.485423e-06, -8.940909e-01, +2.730544e-11, -1.512365e-05, -3.990484e-07
Tp  , -6.119131e+00, -8.940909e-01, +3.908701e+05, -1.873309e-05, +5.593629e+00, +2.744246e-01
node, +2.994360e-10, +2.730544e-11, -1.873309e-05, +4.698990e-15, -1.842743e-10, -6.889900e-11
peri, -8.749109e-05, -1.512365e-05, +5.593629e+00, -1.842743e-10, +9.237659e-05, +2.694410e-06
i   , -4.386729e-06, -3.990484e-07, +2.744246e-01, -6.889900e-11, +2.694410e-06, +1.010239e-06

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: UK0020
  Avg. res. = 1.107e-06 s
  Stddev    = 1.05e-03 s

Begin point on the trajectory:
  Lon =    -3.659520 +/- 0.0002 deg
  Lat =    51.802637 +/- 0.0003 deg
  Ht  = 97031.91 +/- 33.55 m
End point on the trajectory:
  Lon =    -3.762464 +/- 0.0004 deg
  Lat =    51.745265 +/- 0.0002 deg
  Ht  = 82328.48 +/- 22.85 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
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,    95235.66,    82401.69,          0.007255,      5.90,     17.23,              48.96, 0.5689,    True,    True, {"ff_name": "FF_UK001Z_20210810_221704_018_0176896.fits"}
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,    97031.91,    82719.96,          0.014866,     12.29,     37.49,              39.00, 0.3960,    True,    True, {"ff_name": "FF_UK0020_20210810_221708_161_0174336.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    95129.75,    82328.48,          0.009512,     14.63,     17.49,              63.58, 0.8020,    True,    True, {"ff_name": "FF_UK003H_20210810_221710_013_0177408.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,     UK001Z,       1,  0.010838, 2459437.428615240380, 178.19513,  68.94737,              334.57163,  39.51690,       334.53624,       39.54355,    178.19513,     +68.94737,     178.30101,      +68.94426,  1388610.42, -3764251.80,  5065295.95,      51.801698,       -3.661227,   96790.52,  150273.36,       0.00,              322.88,    51.98,      0.00,           47257.35,    -94.67,     32.35,         137.33,  +3.64,  +2.76
  1,     UK001Z,       0,  0.050982, 2459437.428615705110, 178.19573,  68.40657,              334.04540,  39.16077,       334.04850,       39.15844,    178.19573,     +68.40657,     178.18689,      +68.40684,  1387760.08, -3764112.72,  5063651.61,      51.795649,       -3.672101,   95235.66,  149056.17,    1856.41,             2179.30,   -22.72,  46243.81,           47257.35,      8.23,     -2.82,          12.04,  +1.47,  +0.60
  2,     UK001Z,       0,  0.091158, 2459437.428616170306, 178.08622,  67.86268,              333.55697,  38.76929,       333.56039,       38.76673,    178.08622,     +67.86268,     178.07682,      +67.86297,  1386913.53, -3763974.26,  5062014.60,      51.789623,       -3.682930,   93687.87,  147857.73,    3704.56,             4027.44,  -107.23,  46001.22,           47257.35,      9.03,     -3.09,          13.31,  +0.72,  -0.13
  3,     UK001Z,       0,  0.131354, 2459437.428616635501, 177.97546,  67.26199,              333.02235,  38.33591,       333.02786,       38.33182,    177.97546,     +67.26199,     177.96065,      +67.26244,  1385993.98, -3763823.86,  5060236.43,      51.783074,       -3.694681,   92006.77,  146571.03,    5712.06,             6034.94,   -33.34,  49942.84,           47257.35,     14.41,     -4.93,          21.43,  +0.38,  -0.45
  4,     UK001Z,       0,  0.171566, 2459437.428617100697, 177.85213,  66.62400,              332.46554,  37.86966,       332.46909,       37.86704,    177.85213,     +66.62400,     177.84319,      +66.62428,  1385033.95, -3763666.84,  5058379.98,      51.776231,       -3.706945,   90251.86,  145245.06,    7807.95,             8130.83,   128.16,  52120.92,           48457.82,      9.21,     -3.15,          13.83,  +0.36,  -0.45
  5,     UK001Z,       0,  0.211758, 2459437.428617565893, 177.70914,  66.09801,              332.02787,  37.46974,       332.01225,       37.48121,    177.70914,     +66.09801,     177.75158,      +66.09678,  1384254.51, -3763539.35,  5056872.74,      51.770672,       -3.716935,   88827.18,  144182.88,    9509.57,             9832.45,  -103.63,  42337.40,           47925.98,    -40.19,     13.75,          60.77,  +0.40,  -0.39
  6,     UK001Z,       0,  0.251962, 2459437.428618031554, 177.63374,  65.44582,              331.45818,  37.00007,       331.45521,       37.00223,    177.63374,     +65.44582,     177.64249,      +65.44559,  1383306.65, -3763384.32,  5055039.83,      51.763907,       -3.729050,   87094.85,  142907.04,   11578.88,            11901.76,    31.68,  51470.15,           48116.01,     -7.57,      2.59,          11.56,  +0.34,  -0.44
  7,     UK001Z,       0,  0.292178, 2459437.428618496750, 177.52539,  64.80343,              330.91778,  36.52329,       330.91242,       36.52719,    177.52539,     +64.80343,     177.54021,      +64.80302,  1382387.81, -3763234.04,  5053263.03,      51.757345,       -3.740803,   85415.72,  141688.39,   13584.84,            13907.72,   103.06,  49879.67,           48342.25,    -13.59,      4.65,          20.90,  +0.30,  -0.46
  8,     UK001Z,       0,  0.332390, 2459437.428618962411, 177.45305,  64.13303,              330.34763,  36.03426,       330.35402,       36.02964,    177.45305,     +64.13303,     177.43860,      +64.13350,  1381446.79, -3763080.13,  5051443.35,      51.750619,       -3.752837,   83696.24,  140459.10,   15639.21,            15962.10,   223.06,  51088.61,           48630.99,     16.07,     -5.50,          24.94,  +0.33,  -0.41
  9,     UK001Z,       0,  0.372566, 2459437.428619427141, 177.37412,  63.62034,              329.92636,  35.65028,       329.93064,       35.64720,    177.37412,     +63.62034,     177.36523,      +63.62065,  1380738.28, -3762964.24,  5050073.27,      51.745552,       -3.761942,   82401.69,  139547.60,   17185.99,            17508.88,  -162.81,  38500.14,           48225.63,     10.72,     -3.67,          16.75,  +0.93,  +0.21
  0,     UK0020,       0,  0.000000, 2459437.428615114652, 125.85477,  76.19011,              355.41339,  37.27508,       355.41072,       37.27713,    125.85477,     +76.19011,     125.86531,      +76.19166,  1388742.43, -3764273.39,  5065551.22,      51.802637,       -3.659520,   97031.91,  158158.55,       0.00,               34.69,   285.14,      0.00,           46510.32,     -7.75,     -2.54,          10.63,  +3.20,  +2.20
  1,     UK0020,       0,  0.040292, 2459437.428615580779, 126.61484,  75.88891,              355.10685,  37.02083,       355.10174,       37.02473,    126.61484,     +75.88891,     126.63486,      +75.89181,  1388039.34, -3764158.39,  5064191.62,      51.797636,       -3.668540,   95746.27,  156962.54,    1534.95,             1569.64,  -118.14,  38095.57,           46510.32,    -14.68,     -4.81,          20.31,  +2.01,  +1.03
  2,     UK0020,       0,  0.080696, 2459437.428616048768, 127.75296,  75.47468,              354.64606,  36.68196,       354.66845,       36.66492,    127.75296,     +75.47468,     127.66777,      +75.46234,  1387058.59, -3763997.98,  5062295.11,      51.790656,       -3.681059,   93953.08,  155303.96,    3676.06,             3710.76,    79.36,  52992.65,           46510.32,     63.77,     20.87,          89.11,  +0.84,  -0.12
  3,     UK0020,       0,  0.121076, 2459437.428616515826, 128.45960,  75.06500,              354.30686,  36.32731,       354.28561,       36.34340,    128.45960,     +75.06500,     128.53979,      +75.07642,  1386203.08, -3763858.06,  5060640.77,      51.784564,       -3.692004,   92389.03,  153867.13,    5543.76,             5578.46,     4.59,  46253.11,           46510.32,    -59.94,    -19.66,          84.57,  +0.36,  -0.58
  4,     UK0020,       0,  0.161468, 2459437.428616983350, 129.43058,  74.65179,              353.87493,  35.99050,       353.87284,       35.99207,    129.43058,     +74.65179,     129.43893,      +74.65288,  1385289.64, -3763708.66,  5058874.42,      51.778054,       -3.703680,   90719.23,  152343.38,    7537.93,             7572.62,    55.72,  49370.27,           47273.01,     -5.82,     -1.91,           8.30,  +0.35,  -0.56
  5,     UK0020,       0,  0.201848, 2459437.428617450874, 130.19202,  74.24185,              353.50049,  35.64765,       353.48574,       35.65874,    130.19202,     +74.24185,     130.24624,      +74.24937,  1384442.81, -3763570.15,  5057236.87,      51.772015,       -3.714520,   89171.35,  150940.72,    9386.67,             9421.37,   -38.00,  45783.76,           47277.99,    -40.88,    -13.40,          58.78,  +0.27,  -0.62
  6,     UK0020,       0,  0.242248, 2459437.428617918398, 131.11394,  73.80986,              353.05759,  35.29998,       353.06678,       35.29309,    131.11394,     +73.80986,     131.08232,      +73.80530,  1383534.98, -3763421.67,  5055481.35,      51.765537,       -3.726131,   87512.12,  149447.84,   11368.61,            11403.30,     0.51,  49057.71,           47470.58,     25.23,      8.26,          36.65,  +0.37,  -0.50
  7,     UK0020,       0,  0.282680, 2459437.428618386388, 131.82176,  73.33474,              352.66093,  34.89937,       352.63959,       34.91528,    131.82176,     +73.33474,     131.89718,      +73.34505,  1382619.14, -3763271.87,  5053710.37,      51.758997,       -3.737846,   85838.45,  147953.56,   13368.00,            13402.69,    54.93,  49450.69,           47716.06,    -58.04,    -19.02,          85.15,  +0.24,  -0.61
  8,     UK0020,       0,  0.323104, 2459437.428618854377, 132.65635,  72.87022,              352.21619,  34.52393,       352.20893,       34.52933,    132.65635,     +72.87022,     132.68249,      +72.87364,  1381705.80, -3763122.49,  5051944.20,      51.752471,       -3.749532,   84169.49,  146475.48,   15361.95,            15396.65,   104.30,  49326.03,           47938.02,    -19.59,     -6.42,          29.02,  +0.25,  -0.58
  9,     UK0020,       0,  0.363480, 2459437.428619321436, 133.33684,  72.45287,              351.83239,  34.18494,       351.83037,       34.18644,    133.33684,     +72.45287,     133.34512,      +72.45379,  1380912.48, -3762992.73,  5050410.12,      51.746798,       -3.759706,   82719.96,  145201.90,   17093.89,            17128.58,  -106.03,  42895.22,           47775.98,     -5.39,     -1.77,           8.06,  +0.84,  +0.03
  0,     UK003H,       1,  0.011129, 2459437.428615244105, 214.24333,  49.12024,              299.39113,  42.88330,       299.35033,       42.90443,    214.24333,     +49.12024,     214.29558,      +49.10713,  1388576.55, -3764246.26,  5065230.44,      51.801457,       -3.661655,   96728.58,  140640.23,       0.00,              396.84,   111.95,      0.00,           47117.32,    -68.96,     57.58,         131.76,  +2.99,  +2.25
  1,     UK003H,       0,  0.051701, 2459437.428615713492, 213.92139,  48.44916,              298.79762,  42.33147,       298.80162,       42.32941,    213.92139,     +48.44916,     213.91653,      +48.45043,  1387702.16, -3764103.24,  5063539.60,      51.795237,       -3.672834,   95129.75,  139800.25,    1908.91,             2305.75,    69.17,  47049.99,           47117.32,      6.74,     -5.64,          12.97,  +1.27,  +0.54
  2,     UK003H,       0,  0.092281, 2459437.428616183344, 213.57591,  47.78235,              298.23664,  41.76200,       298.26082,       41.74960,    213.57591,     +47.78235,     213.54576,      +47.79000,  1386834.77, -3763961.38,  5061862.30,      51.789063,       -3.683927,   93543.88,  138988.06,    3802.55,             4199.38,    10.71,  46664.22,           47117.32,     40.73,    -34.08,          78.81,  +0.52,  -0.19
  3,     UK003H,       0,  0.132893, 2459437.428616653197, 213.17160,  47.10379,              297.70959,  41.14622,       297.71037,       41.14582,    213.17160,     +47.10379,     213.17118,      +47.10403,  1385945.79, -3763815.98,  5060143.24,      51.782731,       -3.695295,   91918.68,  138177.57,    5743.32,             6140.15,    -2.14,  47788.08,           47117.32,      1.31,     -1.10,           2.55,  +0.22,  -0.48
  4,     UK003H,       0,  0.173489, 2459437.428617123049, 212.80771,  46.43497,              297.18793,  40.55147,       297.18284,       40.55406,    212.80771,     +46.43497,     212.81480,      +46.43338,  1385088.11, -3763675.69,  5058484.71,      51.776617,       -3.706270,   90350.85,  137417.46,    7615.75,             8012.59,   -82.56,  46123.61,           46970.54,     -8.58,      7.17,          16.78,  +0.27,  -0.42
  5,     UK003H,       0,  0.214129, 2459437.428617593367, 212.43351,  45.71055,              296.62914,  39.91100,       296.62444,       39.91339,    212.43351,     +45.71055,     212.44023,      +45.70910,  1384173.44, -3763526.09,  5056715.98,      51.770093,       -3.717967,   88679.02,  136630.07,    9612.60,            10009.44,   -40.68,  49135.04,           47238.22,     -7.91,      6.61,          15.57,  +0.31,  -0.37
  6,     UK003H,       0,  0.254781, 2459437.428618064150, 212.06295,  44.97273,              296.07153,  39.25714,       296.06731,       39.25928,    212.06295,     +44.97273,     212.06922,      +44.97144,  1383253.94, -3763375.70,  5054937.89,      51.763531,       -3.729727,   86998.51,  135863.59,   11620.01,            12016.85,    11.18,  49380.44,           47563.63,     -7.10,      5.94,          14.05,  +0.27,  -0.40
  7,     UK003H,       0,  0.295433, 2459437.428618534468, 211.70559,  44.23694,              295.52532,  38.60477,       295.52320,       38.60583,    211.70559,     +44.23694,     211.70941,      +44.23629,  1382349.09, -3763227.70,  5053188.15,      51.757068,       -3.741304,   85344.95,  135134.46,   13595.43,            13992.27,    31.05,  48593.34,           47785.05,     -3.56,      2.97,           7.08,  +0.23,  -0.42
  8,     UK003H,       0,  0.336137, 2459437.428619005717, 211.31093,  43.44670,              294.96277,  37.89041,       294.94729,       37.89816,    211.31093,     +43.44670,     211.33120,      +43.44203,  1381383.35, -3763069.75,  5051320.66,      51.750165,       -3.753653,   83580.32,  134383.54,   15703.76,            16100.60,   181.34,  51796.79,           48156.45,    -26.05,     21.77,          52.10,  +0.35,  -0.29
  9,     UK003H,       0,  0.376641, 2459437.428619474173, 211.05514,  42.87382,              294.54863,  37.38499,       294.54090,       37.38884,    211.05514,     +42.87382,     211.06608,      +42.87150,  1380698.22, -3762957.69,  5049995.79,      51.745265,       -3.762464,   82328.48,  133870.88,   17199.51,            17596.35,  -271.34,  36928.45,           47734.75,    -13.00,     10.87,          26.10,  +1.58,  +0.95

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.