Orbital Analysis for matched events on 20210810_221804.454_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 20.98° Bg 18.63° Vg 62.27km/s
mass 0.01684g, abs. mag -0.3
Path Details
------------
start -3.24° 50.22° 97.12km
end   -3.42° 50.20° 91.15km

Orbit Details
-------------
Semimajor axis 11.42A.U., eccentricity 0.95, inclination 139.24°, Period 38.62Y, LA Sun 138.20°, last Perihelion 1983-02-07

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: 2459437.429218228441
Time: 2021-08-10 22:18:04.454937 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0002 and UK000H
 Convergence angle = 14.55751 deg
 R.A. =   9.29351  Dec = +26.45853 deg
Intersection 2 - Stations: UK0002 and UK002D
 Convergence angle = 30.75497 deg
 R.A. =  10.03590  Dec = +25.92487 deg
Intersection 3 - Stations: UK000H and UK002D
 Convergence angle = 16.20038 deg
 R.A. =  10.88158  Dec = +25.81398 deg

Best intersection: Stations UK0002 and UK002D with Qconv = 30.75 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1479754.57 +/- 54.80 m
 Y =  -3878704.92 +/- 156.55 m
 Z =   4952986.69 +/- 30.73 m
 Vx =    55752.30 +/- 438.96 m/s
 Vy =    11453.57 +/- 994.14 m/s
 Vz =    27594.60 +/- 440.57 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.224560e+03, +6.872355e+03, +7.183302e+01, +1.202517e+04, +3.535705e+04, -5.291002e+03
+6.872355e+03, +2.753549e+04, -2.306231e+03, +3.914749e+04, +1.386295e+05, -1.066444e+04
+7.183302e+01, -2.306231e+03, +1.080655e+03, -1.379938e+03, -5.218586e+03, +1.331603e+03
+1.202517e+04, +3.914749e+04, -1.379938e+03, +1.007714e+05, +3.096933e+05, -2.777596e+04
+3.535705e+04, +1.386295e+05, -5.218586e+03, +3.096933e+05, +1.045462e+06, -5.473742e+04
-5.291002e+03, -1.066444e+04, +1.331603e+03, -2.777596e+04, -5.473742e+04, +2.169467e+04

Timing offsets (from input data):
    UK0002: -0.001195 s
    UK000H: 0.000000 s
    UK002D: -0.000230 s
    UK003J: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 22:18:04.454937 UTC
  Lon     = +-3.245397 +/- 0.0014 deg
  Lat     = +50.218164 +/- 0.0008 deg
  Lat geo = +50.031655 +/- 0.0008 deg
  Ht      =   97068.45 +/- 97.58 m

  JD dynamic   = 2459437.430018969346 
  LST apparent = 290.8822223071 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  11.60914 +/- 0.9258 deg
  Dec       = +25.86526 +/- 0.2705 deg
  Azimuth   =  79.30525 +/- 0.4959 deg
  Elevation = +25.34299 +/- 0.7514 deg
  Vavg      =  60.27170 +/- 0.5047 km/s
  Vinit     =  63.25318 +/- 0.3952 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  11.65799 +/- 0.9258 deg
  Dec       = +25.74769 +/- 0.2705 deg
  Azimuth   =  79.36127 +/- 0.4959 deg
  Elevation = +25.22813 +/- 0.7514 deg
  Vavg      =  60.54069 +/- 0.5047 km/s
  Vinit     =  63.52217 +/- 0.3952 km/s
Radiant (geocentric, J2000):
  R.A.   =  11.76175 +/- 0.9234 deg
  Dec    = +25.34187 +/- 0.2724 deg
  Vg     =  62.27049 +/- 0.4015 km/s
  Vinf   =  63.25318 +/- 0.3952 km/s
  Zc     =  64.69176 +/- 0.7529 deg
  Zg     =  65.25989 +/- 0.7540 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  20.97918 +/- 0.7060 deg
  Bg     = +18.62831 +/- 0.5692 deg
  Vh     =  40.90006 +/- 0.0416 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 358.42683 +/- 1.4289 deg
  Bh     = +29.10106 +/- 0.7245 deg
  Vh_x   = -35.72350 +/- 0.3104 km/s
  Vh_y   =   0.98111 +/- 0.8693 km/s
  Vh_z   = -19.89181 +/- 0.4500 km/s
Orbit:
  La Sun = 138.200730 +/- nan deg
  a      =  11.424886 +/- 0.5949 AU
  e      =   0.951791 +/- 0.0024
  i      = 139.244725 +/- 1.7125 deg
  peri   = 266.344468 +/- 1.3699 deg
  node   = 138.196219 +/- 0.0002 deg
  Pi     =  44.540687 +/- 1.3701 deg
  q      =   0.550777 +/- 0.0122 AU
  f      = 273.649681 +/- 1.3697 deg
  M      = 358.964056 +/- 0.0664 deg
  Q      =  22.298994 +/- 1.1914 AU
  n      =   0.025523 +/- 0.0016 deg/day
  T      =  38.616991 +/- 3.1540 years
  Last perihelion JD = 2445372.917627 (1983-02-07 10:01:23.000381) +/- 1152.0702 days
  Tj     =  -0.233037 +/- 0.0305
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.609066e-06, -1.863546e-05, -2.754156e+00, +5.546005e-09, +3.423204e-05, -3.907140e-05
q   , -1.863546e-05, +1.613494e-04, +2.483516e+00, -5.365618e-08, -3.160657e-04, +3.728746e-04
Tp  , -2.754156e+00, +2.483516e+00, +1.409424e+06, -4.543037e-04, -3.605880e+00, +3.465623e+00
node, +5.546005e-09, -5.365618e-08, -4.543037e-04, +2.004924e-11, +1.054406e-07, -1.394328e-07
peri, +3.423204e-05, -3.160657e-04, -3.605880e+00, +1.054406e-07, +6.202977e-04, -7.324570e-04
i   , -3.907140e-05, +3.728746e-04, +3.465623e+00, -1.394328e-07, -7.324570e-04, +9.703213e-04

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: UK000H
  Avg. res. = 2.887e-06 s
  Stddev    = 1.70e-03 s

Begin point on the trajectory:
  Lon =    -3.243914 +/- 0.0014 deg
  Lat =    50.218344 +/- 0.0008 deg
  Ht  = 97120.20 +/- 93.01 m
End point on the trajectory:
  Lon =    -3.416219 +/- 0.0013 deg
  Lat =    50.197455 +/- 0.0007 deg
  Ht  = 91152.43 +/- 74.29 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
    UK0002,   False,     0.265820,    50.757180,   60.00,  48.459940,   0.000000,    96123.92,    91704.68,          0.021595,    104.37,     15.00,             131.10, 0.5678,    True,    True, {"ff_name": "FF_UK0002_20210810_221807_263_0196096.fits"}
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    97120.20,    91152.43,          0.015587,     44.84,      1.33,             110.89, 0.8728,    True,    True, {"ff_name": "FF_UK000H_20210810_221800_124_0181760.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,    96712.93,    91620.65,          0.016255,     53.29,     11.52,             109.13, 0.8926,    True,    True, {"ff_name": "FF_UK002D_20210810_221759_507_0181248.fits"}
    UK003J,    True,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    98561.67,    93664.60,          0.965753,       nan,       nan,              99.10, 0.0000,    True,    True, {"ff_name": "FF_UK003J_20210810_221756_411_0171776.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,     UK0002,       0,  0.050983, 2459437.429218832403, 225.75245,   7.32546,              257.83595,  19.10325,       257.86148,       19.10543,    225.75245,      +7.32546,     225.73503,       +7.34221,  1477809.24, -3879104.56,  4952023.85,      50.214883,       -3.272668,   96123.92,  277335.16,       0.00,             2207.06,  -254.32,      0.00,           65214.79,    -16.68,    116.06,          87.21,  +2.47,  +0.25
  1,     UK0002,       0,  0.091355, 2459437.429219299927, 225.45480,   7.00341,              257.86787,  18.66733,       257.90341,       18.67038,    225.45480,      +7.00341,     225.43057,       +7.02677,  1475244.56, -3879631.44,  4950754.46,      50.210545,       -3.308510,   94879.66,  279341.66,    2909.73,             5116.79,   101.76,  72072.98,           65214.79,    -23.41,    163.12,         121.68,  +1.62,  -0.61
  2,     UK0002,       0,  0.131667, 2459437.429219766520, 225.18901,   6.76002,              257.92561,  18.31255,       257.93773,       18.31358,    225.18901,      +6.76002,     225.18115,       +6.76800,  1473114.17, -3880069.10,  4949700.03,      50.206933,       -3.338316,   93846.88,  281022.42,    5326.74,             7533.80,   -31.09,  59957.64,           65214.79,     -8.07,     56.11,          41.60,  +1.12,  -1.12
  3,     UK0002,       0,  0.171995, 2459437.429220233113, 224.92508,   6.47703,              257.95598,  17.92786,       257.97448,       17.92944,    224.92508,      +6.47703,     224.91294,       +6.48922,  1470791.13, -3880546.34,  4948550.24,      50.202984,       -3.370808,   92721.55,  282866.51,    7962.32,            10169.38,    53.61,  65353.56,           65214.79,    -12.41,     86.33,          63.60,  +1.33,  -0.93
  4,     UK0002,       0,  0.212295, 2459437.429220699705, 224.66357,   6.24874,              258.02031,  17.58740,       258.00722,       17.58629,    224.66357,      +6.24874,     224.67358,       +6.24011,  1468690.51, -3880977.89,  4947510.54,      50.199404,       -3.400210,   91704.68,  284546.00,   10345.56,            12552.61,  -112.26,  59137.36,           63838.98,      8.88,    -61.54,          45.07,  +1.82,  -0.45
  0,     UK000H,       0,  0.000000, 2459437.429218228441, 249.79348,  10.62000,              236.18881,  36.86711,       236.18511,       36.86581,    249.79348,     +10.62000,     249.79532,      +10.61732,  1479861.20, -3878683.02,  4953039.47,      50.218344,       -3.243914,   97120.20,  159747.84,       0.00,              120.97,   884.44,      0.00,           59319.23,     -0.27,     -9.01,          11.63,  +3.66,  +2.64
  1,     UK000H,       0,  0.040420, 2459437.429218696430, 249.26508,  10.25766,              236.49473,  36.28319,       236.50292,       36.28606,    249.26508,     +10.25766,     249.26115,      +10.26362,  1478174.01, -3879029.62,  4952204.40,      50.215499,       -3.267546,   96300.98,  160504.12,    1914.18,             1793.21,    -0.02,  47357.14,           59319.23,      0.61,     20.17,          25.93,  +1.43,  +0.40
  2,     UK000H,       0,  0.080996, 2459437.429219165817, 248.52529,   9.75801,              236.92349,  35.47095,       236.93771,       35.47594,    248.52529,      +9.75801,     248.51843,       +9.76843,  1475790.49, -3879519.29,  4951024.67,      50.211470,       -3.300867,   95144.43,  161602.23,    4618.37,             4497.40,   137.62,  66645.28,           59319.23,      1.07,     35.54,          45.38,  +0.93,  -0.11
  3,     UK000H,       0,  0.121512, 2459437.429219634738, 247.85088,   9.30809,              237.31339,  34.73405,       237.32549,       34.73829,    247.85088,      +9.30809,     247.84521,       +9.31702,  1473595.65, -3879970.19,  4949938.34,      50.207750,       -3.331570,   94080.23,  162647.58,    7108.51,             6987.54,    64.99,  61460.53,           59319.23,      0.92,     30.67,          38.92,  +0.50,  -0.56
  4,     UK000H,       0,  0.162020, 2459437.429220103659, 247.18225,   8.86550,              237.69793,  34.00531,       237.70258,       34.00693,    247.18225,      +8.86550,     247.18053,       +8.86894,  1471394.49, -3880422.39,  4948848.87,      50.204011,       -3.362365,   93013.74,  163727.56,    9605.82,             9484.85,     0.04,  61649.79,           60243.56,      0.36,     11.94,          15.05,  +0.40,  -0.67
  5,     UK000H,       0,  0.202512, 2459437.429220572114, 246.53367,   8.43754,              238.06782,  33.29858,       238.06213,       33.29659,    246.53367,      +8.43754,     246.53747,       +8.43330,  1469231.44, -3880866.76,  4947778.27,      50.200327,       -3.392635,   91966.47,  164819.26,   12059.88,            11938.91,  -107.15,  60606.09,           60559.37,     -0.44,    -14.81,          18.55,  +1.27,  +0.18
  6,     UK000H,       0,  0.242872, 2459437.429221039638, 246.02174,   8.12756,              238.37501,  32.76341,       238.33511,       32.74954,    246.02174,      +8.12756,     246.04361,       +8.09769,  1467549.12, -3881212.37,  4946945.61,      50.197455,       -3.416219,   91152.43,  165690.56,   13968.54,            13847.57,  -751.39,  47290.83,           59256.21,     -3.09,   -104.97,         130.73,  +3.10,  +2.00
  0,     UK002D,       0,  0.014101, 2459437.429218394216, 258.68651,  -1.68099,              219.64548,  29.78972,       219.63778,       29.78425,    258.68651,      -1.68099,     258.69051,       -1.68867,  1479022.54, -3878855.31,  4952624.37,      50.216930,       -3.255637,   96712.93,  190207.78,       0.00,              830.52,   702.03,      0.00,           58864.96,     -6.06,    -28.00,          31.07,  +3.35,  +1.95
  1,     UK002D,       0,  0.054309, 2459437.429218859877, 258.26114,  -1.89586,              219.99473,  29.42268,       219.98561,       29.41621,    258.26114,      -1.89586,     258.26605,       -1.90498,  1477530.23, -3879161.88,  4951885.76,      50.214412,       -3.276559,   95988.50,  190835.62,    1693.08,             2523.61,  -148.17,  42108.09,           58864.96,     -7.22,    -33.35,          36.88,  +1.47,  +0.07
  2,     UK002D,       0,  0.094657, 2459437.429219326470, 257.51726,  -2.25349,              220.60753,  28.79507,       220.58089,       28.77628,    257.51726,      -2.25349,     257.53135,       -2.28016,  1474916.65, -3879698.81,  4950592.16,      50.209990,       -3.313081,   94720.65,  191961.67,    4658.29,             5488.82,   264.90,  73490.85,           58864.96,    -21.22,    -98.16,         107.91,  +0.35,  -1.07
  3,     UK002D,       0,  0.134937, 2459437.429219793063, 256.96705,  -2.54442,              221.04337,  28.30490,       221.02530,       28.29218,    256.96705,      -2.54442,     256.97692,       -2.56255,  1472926.85, -3880107.58,  4949607.31,      50.206615,       -3.340932,   93756.11,  192846.95,    6915.79,             7746.32,   -25.44,  56045.22,           58864.96,    -14.50,    -67.03,          73.35,  +0.08,  -1.35
  4,     UK002D,       0,  0.175221, 2459437.429220259190, 256.42123,  -2.83653,              221.46978,  27.81398,       221.46322,       27.80937,    256.42123,      -2.83653,     256.42534,       -2.84313,  1470929.65, -3880517.88,  4948618.80,      50.203220,       -3.368889,   92788.61,  193758.11,    9181.69,            10012.22,  -307.63,  56248.18,           58547.35,     -5.30,    -24.48,          26.67,  +0.43,  -1.01
  5,     UK002D,       0,  0.215549, 2459437.429220725782, 255.76250,  -3.17277,              221.98641,  27.23442,       221.98101,       27.23064,    255.76250,      -3.17277,     255.76619,       -3.17822,  1468516.84, -3881013.56,  4947424.58,      50.199108,       -3.402636,   91620.65,  194887.23,   11919.13,            12749.65,  -121.06,  67879.25,           59791.16,     -4.40,    -20.32,          22.01,  +1.86,  +0.41
  0,     UK003J,       1, -0.078627, 2459437.429217318539, 270.95054,  -0.60560,              205.72982,  35.12985,       204.94699,       34.40735,    270.95054,      -0.60560,     271.37686,       -1.47368,  1482827.67, -3878073.59,  4954507.73,      50.223333,       -3.202340,   98561.67,  171393.80,       0.00,             3486.55,  9223.41,     -0.00,           57198.87,   -756.80,  -2792.48,        3482.02,  +3.03,  +1.86
  1,     UK003J,       1, -0.038071, 2459437.429217787925, 270.20629,  -0.96066,              206.48292,  34.58396,       205.69439,       33.86250,    270.20629,      -0.96066,     270.63501,       -1.83345,  1480625.19, -3878526.06,  4953417.61,      50.219630,       -3.233132,   97491.32,  171843.01,    2498.81,              987.75,  4159.31,  61613.70,           57198.87,   -762.57,  -2814.87,        3500.67,  +2.38,  +1.20
  2,     UK003J,       1,  0.002417, 2459437.429218256380, 269.56066,  -1.27912,              207.12443,  34.09660,       206.33929,       33.38333,    269.56066,      -1.27912,     269.98703,       -2.14710,  1478693.64, -3878922.88,  4952461.58,      50.216375,       -3.260161,   96553.26,  172266.59,    4690.23,             1203.68,  1814.25,  54125.26,           57198.87,   -760.22,  -2805.99,        3481.06,  +1.95,  +0.77
  3,     UK003J,       1,  0.042925, 2459437.429218725301, 268.88364,  -1.60834,              207.79060,  33.58641,       207.00593,       32.87873,    268.88364,      -1.60834,     269.30925,       -2.47484,  1476663.01, -3879340.04,  4951456.53,      50.212946,       -3.288572,   95567.73,  172740.82,    6994.05,             3507.50,  1555.81,  56873.24,           57198.87,   -760.84,  -2808.55,        3474.65,  +1.95,  +0.76
  4,     UK003J,       1,  0.083425, 2459437.429219194222, 268.21442,  -1.93194,              208.44171,  33.08022,       207.65669,       32.37711,    268.21442,      -1.93194,     268.63975,       -2.79806,  1474646.92, -3879754.22,  4950458.66,      50.209533,       -3.316785,   94589.89,  173240.98,    9281.39,             5794.84,  1281.39,  56477.56,           56919.63,   -762.48,  -2815.02,        3472.56,  +2.09,  +0.90
  5,     UK003J,       1,  0.123897, 2459437.429219662212, 267.58657,  -2.24156,              209.04325,  32.59638,       208.26294,       31.90182,    267.58657,      -2.24156,     268.00896,       -3.10199,  1472737.95, -3880146.39,  4949513.82,      50.206294,       -3.343513,   93664.60,  173741.48,   11447.19,             7960.64,   887.21,  53513.51,           56353.72,   -759.60,  -2804.06,        3449.11,  +2.83,  +1.63

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.