Orbital Analysis for matched events on 20211103_012503.883_UK

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Summary for Event
-----------------
shower ID 2 STA
Lg 52.52° Bg -3.38° Vg 28.35km/s
mass 0.02491g, abs. mag 1.9
best visual mag 2.2
Path Details
------------
start -2.50° 51.92° 95.98km
end   -2.46° 52.02° 80.75km

Orbit Details
-------------
Semimajor axis 2.16A.U., eccentricity 0.84, inclination 3.96°, Period 3.17Y, LA Sun 220.55°, last Perihelion 2018-10-15

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: 2459521.559072720818
Time: 2021-11-03 01:25:03.892574 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK003R
 Convergence angle = 48.98668 deg
 R.A. =  52.16587  Dec = +16.55195 deg

Best intersection: Stations UK0006 and UK003R with Qconv = 48.99 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1921839.82 +/- 17.11 m
 Y =   3509394.88 +/- 17.97 m
 Z =   5072940.32 +/- 53.37 m
 Vx =    18145.66 +/- 81.23 m/s
 Vy =    22863.16 +/- 108.04 m/s
 Vz =     8653.41 +/- 135.92 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.103731e+02, +1.378488e+02, +3.877790e+02, +4.241202e+02, -1.662520e+02, +8.054345e+02
+1.378488e+02, +3.512023e+02, -1.926081e+02, -5.779830e+02, -2.959741e+02, -7.360344e+02
+3.877790e+02, -1.926081e+02, +3.013702e+03, +1.036510e+03, +1.374086e+02, +6.649299e+03
+4.241202e+02, -5.779830e+02, +1.036510e+03, +4.046428e+03, +1.395771e+03, +4.593574e+03
-1.662520e+02, -2.959741e+02, +1.374086e+02, +1.395771e+03, +1.758915e+03, +1.699442e+03
+8.054345e+02, -7.360344e+02, +6.649299e+03, +4.593574e+03, +1.699442e+03, +1.727713e+04

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK003R: 0.000022 s

Reference point on the trajectory:
  Time: 2021-11-03 01:25:03.892574 UTC
  Lon     = +-2.503383 +/- 0.0002 deg
  Lat     = +51.920409 +/- 0.0003 deg
  Lat geo = +51.736202 +/- 0.0003 deg
  Ht      =   95984.32 +/- 44.14 m

  JD dynamic   = 2459521.559873571619 
  LST apparent = 61.2936914926 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.56225 +/- 0.0824 deg
  Dec       = +16.51313 +/- 0.2189 deg
  Azimuth   = 195.91024 +/- 0.1687 deg
  Elevation = +53.75979 +/- 0.2096 deg
  Vavg      =  29.76590 +/- 0.0600 km/s
  Vinit     =  30.44454 +/- 0.0855 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  52.12767 +/- 0.0824 deg
  Dec       = +16.53879 +/- 0.2189 deg
  Azimuth   = 195.01307 +/- 0.1687 deg
  Elevation = +53.87804 +/- 0.2096 deg
  Vavg      =  29.71998 +/- 0.0600 km/s
  Vinit     =  30.39862 +/- 0.0855 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.01141 +/- 0.0838 deg
  Dec    = +15.12638 +/- 0.2332 deg
  Vg     =  28.34583 +/- 0.0919 km/s
  Vinf   =  30.44454 +/- 0.0855 km/s
  Zc     =  36.06309 +/- 0.2095 deg
  Zg     =  37.39467 +/- 0.2237 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  52.52411 +/- 0.0743 deg
  Bg     =  -3.38415 +/- 0.2355 deg
  Vh     =  37.10678 +/- 0.0629 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 359.87626 +/- 0.1248 deg
  Bh     =  -2.58430 +/- 0.1752 deg
  Vh_x   = -37.06895 +/- 0.0663 km/s
  Vh_y   =   0.08006 +/- 0.0804 km/s
  Vh_z   =   1.67312 +/- 0.1115 km/s
Orbit:
  La Sun = 220.545460 +/- 0.0000 deg
  a      =   2.156356 +/- 0.0239 AU
  e      =   0.835617 +/- 0.0022
  i      =   3.960874 +/- 0.2588 deg
  peri   = 114.311410 +/- 0.1728 deg
  node   =  40.558190 +/- 0.0007 deg
  Pi     = 154.869600 +/- 0.1732 deg
  q      =   0.354469 +/- 0.0016 AU
  f      = 245.676878 +/- 0.1732 deg
  M      = 346.791038 +/- 0.2543 deg
  Q      =   3.958243 +/- 0.0483 AU
  n      =   0.311260 +/- 0.0053 deg/day
  T      =   3.166513 +/- 0.0523 years
  Last perihelion JD = 2458407.408032 (2018-10-15 21:47:33.937487) +/- 19.2016 days
  Tj     =   3.118946 +/- 0.0274
Shower association:
  IAU No.  =    2
  IAU code =  STA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.987601e-06, -2.140768e-06, -4.087026e-02, +9.849314e-07, +7.730778e-06, -3.962721e-04
q   , -2.140768e-06, +2.596095e-06, +9.341273e-03, -8.809091e-07, -2.365582e-04, +3.343654e-04
Tp  , -4.087026e-02, +9.341273e-03, +3.751137e+02, -5.817821e-03, +1.077041e+00, +2.437039e+00
node, +9.849314e-07, -8.809091e-07, -5.817821e-03, +4.789797e-07, +6.508048e-05, -1.816539e-04
peri, +7.730778e-06, -2.365582e-04, +1.077041e+00, +6.508048e-05, +3.244697e-02, -2.339940e-02
i   , -3.962721e-04, +3.343654e-04, +2.437039e+00, -1.816539e-04, -2.339940e-02, +6.929594e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.425858
 a2 = 9.055389

Mean time residuals from time vs. length:
  Station with reference time: UK0006
  Avg. res. = 2.188e-05 s
  Stddev    = 4.68e-03 s

Begin point on the trajectory:
  Lon =    -2.503368 +/- 0.0002 deg
  Lat =    51.920440 +/- 0.0003 deg
  Ht  = 95979.36 +/- 45.91 m
End point on the trajectory:
  Lon =    -2.461980 +/- 0.0002 deg
  Lat =    52.015731 +/- 0.0001 deg
  Ht  = 80753.40 +/- 30.26 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,   2.465703,   8.299206,    95826.12,    80753.40,          0.023409,     47.30,     15.48,              45.94, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20211103_012500_409_0741376.fits"}
    UK003R,   False,    -2.379340,    51.361330,  169.00,   0.002743,  19.791370,    95979.36,    82097.37,          0.008733,     13.13,     10.84,              67.90, 1.0000,    True,    True, {"ff_name": "FF_UK003R_20211103_012501_432_0097792.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,  0.000000, 2459521.559072720818,   5.77543,  38.01359,              273.47277,  48.71299,       273.43232,       48.67644,      5.77543,     +38.01359,       5.76029,      +37.96993,  1921722.91,  3509247.57,  5072884.56,      51.921397,       -2.502888,   95826.12,  126776.56,       0.00,              196.15,   386.06,      0.00,           29007.93,    -31.24,    -95.17,         162.96,  +4.82,  +4.30
  1,     UK0006,       0,  0.040084, 2459521.559073184617,   5.41043,  38.03347,              273.76730,  48.50053,       273.77375,       48.50632,      5.41043,     +38.03347,       5.41297,      +38.04042,  1921206.05,  3508596.34,  5072638.08,      51.925763,       -2.501042,   95126.72,  126177.11,     867.18,             1063.33,    32.91,  21634.18,           29007.93,      4.93,     15.06,          25.91,  +3.59,  +3.09
  2,     UK0006,       0,  0.120244, 2459521.559074112680,   4.34392,  38.20995,              274.75889,  47.95393,       274.79710,       47.98760,      4.34392,     +38.20995,       4.35772,      +38.25092,  1919665.89,  3506655.77,  5071903.60,      51.938777,       -2.495374,   93042.82,  124401.85,    3451.25,             3647.40,   176.53,  32236.28,           29007.93,     28.50,     87.26,         152.21,  +3.94,  +3.47
  3,     UK0006,       0,  0.160264, 2459521.559074575547,   3.90822,  38.33212,              275.21844,  47.76196,       275.22242,       47.76544,      3.90822,     +38.33212,       3.91025,      +38.33638,  1919029.17,  3505853.51,  5071599.95,      51.944160,       -2.493057,   92181.39,  123677.51,    4519.53,             4715.68,    26.43,  26693.79,           29007.93,      2.95,      9.01,          15.81,  +3.51,  +3.05
  4,     UK0006,       0,  0.200356, 2459521.559075039811,   3.39017,  38.39389,              275.66460,  47.48199,       275.69973,       47.51248,      3.39017,     +38.39389,       3.40270,      +38.43142,  1918317.03,  3504956.23,  5071260.35,      51.950182,       -2.490445,   91217.99,  122872.38,    5714.34,             5910.49,     0.66,  29801.80,           29070.16,     25.72,     78.76,         139.08,  +3.14,  +2.69
  5,     UK0006,       0,  0.240388, 2459521.559075503144,   2.89356,  38.52054,              276.16762,  47.25570,       276.17076,       47.25840,      2.89356,     +38.52054,       2.89559,      +38.52389,  1917616.56,  3504073.65,  5070926.30,      51.956108,       -2.487876,   90270.43,  122086.73,    6889.59,             7085.74,   -42.85,  29357.60,           29122.38,      2.28,      6.98,          12.41,  +2.25,  +1.82
  6,     UK0006,       0,  0.280464, 2459521.559075966943,   2.35566,  38.60459,              276.64780,  46.97787,       276.66121,       46.98933,      2.35566,     +38.60459,       2.36109,      +38.61888,  1916889.56,  3503157.64,  5070579.60,      51.962259,       -2.485203,   89287.05,  121277.64,    8109.34,             8305.49,   -43.20,  30436.03,           29253.90,      9.65,     29.51,          52.80,  +2.35,  +1.93
  7,     UK0006,       0,  0.320532, 2459521.559076430742,   1.77079,  38.71043,              277.18301,  46.68508,       277.19223,       46.69290,      1.77079,     +38.71043,       1.77496,      +38.72024,  1916105.06,  3502169.19,  5070205.49,      51.968899,       -2.482303,   88225.98,  120411.67,    9425.56,             9621.71,    53.17,  32849.64,           29559.08,      6.57,     20.08,          36.20,  +2.51,  +2.11
  8,     UK0006,       0,  0.360572, 2459521.559076894075,   1.25983,  38.82536,              277.67317,  46.44352,       277.65573,       46.42885,      1.25983,     +38.82536,       1.25610,      +38.80683,  1915422.19,  3501308.80,  5069879.84,      51.974680,       -2.479799,   87302.43,  119665.52,   10571.26,            10767.41,   -20.13,  28613.89,           29663.19,    -12.32,    -37.65,          68.28,  +2.49,  +2.10
  9,     UK0006,       0,  0.400656, 2459521.559077357873,   0.68605,  38.90508,              278.16413,  46.14209,       278.15875,       46.13760,      0.68605,     +38.90508,       0.68616,      +38.89937,  1914683.25,  3500377.75,  5069527.45,      51.980938,       -2.477073,   86303.10,  118864.57,   11811.04,            12007.19,    -0.68,  30929.63,           29779.81,     -3.76,    -11.51,          21.02,  +2.52,  +2.14
 10,     UK0006,       0,  0.440744, 2459521.559077822138,   0.15705,  38.96058,              278.59378,  45.85342,       278.61312,       45.86946,      0.15705,     +38.96058,       0.16435,      +38.98109,  1914017.35,  3499538.72,  5069209.89,      51.986579,       -2.474633,   85402.58,  118150.02,   12928.30,            13124.45,  -103.89,  27870.00,           29770.87,     13.40,     41.05,          75.39,  +2.91,  +2.55
 11,     UK0006,       0,  0.480812, 2459521.559078285936, 359.62905,  39.04228,              279.04978,  45.58198,       279.06772,       45.59675,    359.62905,     +39.04228,     359.63597,      +39.06128,  1913352.64,  3498701.20,  5068892.90,      51.992211,       -2.472195,   84503.75,  117442.98,   14043.53,            14239.68,  -208.51,  27833.52,           29698.78,     12.33,     37.77,          69.78,  +2.80,  +2.45
 12,     UK0006,       0,  0.520852, 2459521.559078749269, 359.12327,  39.14626,              279.51290,  45.33830,       279.50371,       45.33078,    359.12327,     +39.14626,     359.12300,      +39.13653,  1912716.41,  3497899.57,  5068589.49,      51.997603,       -2.469868,   83643.46,  116772.48,   15110.98,            15307.13,  -360.06,  26659.68,           29562.70,     -6.28,    -19.21,          35.69,  +2.60,  +2.26
 13,     UK0006,       0,  0.560952, 2459521.559079213534, 358.37998,  39.24542,              280.12937,  44.94767,       280.12670,       44.94550,    358.37998,     +39.24542,     358.38164,      +39.24259,  1911810.26,  3496757.83,  5068157.36,      52.005286,       -2.466480,   82418.35,  115824.39,   16631.33,            16827.48,   -60.54,  37913.76,           29693.80,     -1.81,     -5.53,          10.36,  +3.09,  +2.77
 14,     UK0006,       0,  0.600996, 2459521.559079676867, 358.00102,  39.30210,              280.44868,  44.75265,       280.44028,       44.74587,    358.00102,     +39.30210,     358.00143,      +39.29321,  1911354.10,  3496183.09,  5067939.83,      52.009154,       -2.464857,   81801.57,  115355.65,   17396.65,            17592.80,  -514.34,  19112.10,           29536.01,     -5.65,    -17.29,          32.52,  +4.08,  +3.77
 15,     UK0006,       0,  0.641056, 2459521.559080140665, 357.35538,  39.41954,              281.01284,  44.43394,       280.97510,       44.40367,    357.35538,     +39.41954,     357.34899,      +39.37962,  1910578.75,  3495206.16,  5067570.07,      52.015731,       -2.461980,   80753.40,  114560.63,   18697.53,            18893.68,  -433.07,  32473.19,           29488.77,    -25.20,    -77.03,         145.92,  +5.96,  +5.66
  0,     UK003R,       0,  0.009513, 2459521.559072830714,  21.27438,  83.26144,              352.16893,  56.27494,       352.19038,       56.27812,     21.27438,     +83.26144,      21.36406,      +83.26788,  1921836.16,  3509390.26,  5072938.57,      51.920440,       -2.503368,   95979.36,  114816.02,       0.00,                6.15,   -93.57,      0.00,           31466.14,     15.73,     19.04,          44.37,  +3.50,  +3.20
  1,     UK003R,       0,  0.049953, 2459521.559073298704,  18.86776,  83.71306,              352.43555,  55.76881,       352.42226,       55.76684,     18.86776,     +83.71306,      18.80941,      +83.70875,  1921156.76,  3508534.23,  5072614.57,      51.926179,       -2.500891,   95060.01,  114389.25,    1139.89,             1146.04,  -184.86,  28187.27,           31466.14,     -9.83,    -11.90,          27.83,  +4.06,  +3.77
  2,     UK003R,       0,  0.090493, 2459521.559073767625,  15.23494,  84.23447,              352.71379,  55.14262,       352.70013,       55.14060,     15.23494,     +84.23447,      15.17164,      +84.22955,  1920331.93,  3507494.96,  5072221.22,      51.933148,       -2.497846,   93943.96,  113884.08,    2523.77,             2529.92,   -35.20,  34136.19,           31466.14,    -10.22,    -12.37,          29.05,  +2.75,  +2.47
  3,     UK003R,       0,  0.130993, 2459521.559074236546,  11.20026,  84.68347,              352.94565,  54.56361,       352.94728,       54.56385,     11.20026,     +84.68347,      11.20866,      +84.68412,  1919579.40,  3506546.80,  5071862.35,      51.939509,       -2.495081,   92925.80,  113435.97,    3786.35,             3792.50,    -5.62,  31174.81,           31466.14,      1.23,      1.48,           3.50,  +2.94,  +2.67
  4,     UK003R,       0,  0.171485, 2459521.559074705001,   6.65255,  85.10162,              353.18554,  53.99900,       353.18237,       53.99853,      6.65255,     +85.10162,       6.63765,      +85.10023,  1918848.07,  3505625.33,  5071513.59,      51.945692,       -2.492397,   91936.39,  113012.27,    5013.38,             5019.52,   -11.36,  30302.82,           31293.38,     -2.41,     -2.92,           6.92,  +2.48,  +2.21
  5,     UK003R,       0,  0.212029, 2459521.559075174388,   0.59470,  85.51588,              353.43031,  53.37022,       353.43670,       53.37117,      0.59470,     +85.51588,       0.62648,      +85.51898,  1918043.33,  3504611.37,  5071129.82,      51.952497,       -2.489425,   90847.75,  112559.52,    6363.56,             6369.70,   104.47,  33301.63,           31531.25,      4.92,      5.95,          14.15,  +2.67,  +2.41
  6,     UK003R,       0,  0.252525, 2459521.559075643308, 354.22674,  85.85125,              353.66678,  52.80327,       353.65977,       52.80223,    354.22674,     +85.85125,     354.19627,      +85.84753,  1917319.66,  3503699.56,  5070784.71,      51.958620,       -2.486767,   89868.83,  112164.72,    7577.73,             7583.87,    85.76,  29982.47,           31450.25,     -5.44,     -6.58,          15.70,  +2.29,  +2.04
  7,     UK003R,       0,  0.293021, 2459521.559076111764, 346.81685,  86.11811,              353.88201,  52.23528,       353.87640,       52.23445,    346.81685,     +86.11811,     346.79674,      +86.11488,  1916602.94,  3502796.51,  5070442.92,      51.964685,       -2.484135,   88899.39,  111785.29,    8780.23,             8786.37,    55.38,  29694.30,           31270.22,     -4.39,     -5.31,          12.72,  +2.34,  +2.10
  8,     UK003R,       0,  0.333465, 2459521.559076579753, 339.26437,  86.27344,              354.03443,  51.71959,       354.06525,       51.72414,    339.26437,     +86.27344,     339.35255,      +86.29225,  1915963.32,  3501990.60,  5070137.89,      51.970099,       -2.481802,   88034.26,  111456.57,    9853.38,             9859.52,  -102.77,  26534.23,           30871.01,     24.32,     29.45,          70.68,  +2.17,  +1.93
  9,     UK003R,       0,  0.374025, 2459521.559077049606, 329.12755,  86.42253,              354.30444,  51.07966,       354.30029,       51.07905,    329.12755,     +86.42253,     329.12426,      +86.41988,  1915160.40,  3500978.94,  5069754.99,      51.976897,       -2.478830,   86948.37,  111057.01,   11200.51,            11206.65,     9.53,  33213.25,           30795.62,     -3.30,     -4.00,           9.63,  +2.32,  +2.09
 10,     UK003R,       0,  0.414493, 2459521.559077517595, 320.39790,  86.42431,              354.47182,  50.54599,       354.48698,       50.54823,    320.39790,     +86.42431,     320.39348,      +86.43419,  1914504.46,  3500152.47,  5069442.18,      51.982452,       -2.476431,   86061.29,  110741.75,   12301.03,            12307.18,  -121.97,  27194.93,           30590.98,     12.17,     14.73,          35.59,  +2.30,  +2.08
 11,     UK003R,       0,  0.454985, 2459521.559077986516, 311.26083,  86.35658,              354.67688,  49.98244,       354.68158,       49.98314,    311.26083,     +86.35658,     311.25313,      +86.35962,  1913810.55,  3499278.16,  5069111.27,      51.988331,       -2.473882,   85122.94,  110419.12,   13465.25,            13471.40,  -190.51,  28751.95,           30402.21,      3.80,      4.60,          11.15,  +2.86,  +2.64
 12,     UK003R,       0,  0.495593, 2459521.559078456368, 300.81799,  86.14883,              354.91509,  49.28708,       354.91696,       49.28735,    300.81799,     +86.14883,     300.81316,      +86.14999,  1912962.00,  3498209.00,  5068706.61,      51.995522,       -2.470725,   83975.57,  110039.85,   14888.95,            14895.10,    -3.11,  35059.46,           30442.05,      1.53,      1.85,           4.50,  +2.50,  +2.29
 13,     UK003R,       0,  0.536053, 2459521.559078924824, 293.96131,  85.90029,              355.06131,  48.75977,       355.08735,       48.76361,    293.96131,     +85.90029,     293.84534,      +85.91572,  1912327.51,  3497409.56,  5068404.03,      52.000900,       -2.468406,   83117.67,  109767.57,   15953.48,            15959.63,  -170.36,  26310.76,           30349.16,     21.45,     25.98,          63.31,  +2.60,  +2.40
 14,     UK003R,       0,  0.576601, 2459521.559079394210, 286.57706,  85.56912,              355.29147,  48.13757,       355.28821,       48.13709,    286.57706,     +85.56912,     286.59638,      +85.56732,  1911572.85,  3496458.70,  5068044.14,      52.007299,       -2.465614,   82097.37,  109456.16,   17219.65,            17225.80,  -138.66,  31226.34,           30310.74,     -2.71,     -3.28,           8.02,  +2.78,  +2.58
 15,     UK003R,       1,  0.616949, 2459521.559079860803, 283.01611,  85.28567,              355.34619,  47.73821,       355.40722,       47.74723,    283.01611,     +85.28567,     282.69106,      +85.31801,  1911105.74,  3495870.16,  5067821.39,      52.011261,       -2.463948,   81465.79,  109270.47,   18003.35,            18009.50,  -583.34,  19423.58,           30045.88,     51.02,     61.80,         151.27,  +5.94,  +5.75

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.