Orbital Analysis for matched events on 20210929_041030.205_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 71.91° Bg 26.21° Vg 61.54km/s
mass 0.28111g, abs. mag -2.6
Path Details
------------
start -5.84° 49.28° 116.61km
end   -5.84° 49.29° 87.17km

Orbit Details
-------------
Semimajor axis 11.71A.U., eccentricity 0.94, inclination 127.28°, Period 40.08Y, LA Sun 185.95°, last Perihelion 1981-10-05

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: 2459486.673960715532
Time: 2021-09-29 04:10:30.246216 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003E
 Convergence angle = 3.69853 deg
 R.A. =  64.54063  Dec = +47.19784 deg

Best intersection: Stations UK0021 and UK003E with Qconv = 3.70 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1798894.27 +/- 1449.82 m
 Y =   3846230.33 +/- 644.18 m
 Z =   4901449.14 +/- 75.26 m
 Vx =    17140.72 +/- 4310.23 m/s
 Vy =    38020.80 +/- 1752.36 m/s
 Vz =    46596.96 +/- 3695.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.921831e+05, +3.927078e+05, -4.524663e+04, +1.551314e+06, +6.739748e+05, -1.410447e+05
+3.927078e+05, +1.744571e+05, -2.084152e+04, +6.794434e+05, +3.013892e+05, -6.251830e+04
-4.524663e+04, -2.084152e+04, +3.936573e+03, -8.447776e+04, -4.281258e+04, +6.945779e+03
+1.551314e+06, +6.794434e+05, -8.447776e+04, +3.913992e+06, +1.614553e+06, -4.124646e+05
+6.739748e+05, +3.013892e+05, -4.281258e+04, +1.614553e+06, +7.055970e+05, -1.591147e+05
-1.410447e+05, -6.251830e+04, +6.945779e+03, -4.124646e+05, -1.591147e+05, +6.485799e+04

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK003E: -0.000995 s

Reference point on the trajectory:
  Time: 2021-09-29 04:10:30.246216 UTC
  Lon     = +-5.838342 +/- 0.0140 deg
  Lat     = +49.284551 +/- 0.0083 deg
  Lat geo = +49.097673 +/- 0.0083 deg
  Ht      =  118935.70 +/- 746.54 m

  JD dynamic   = 2459486.674761923961 
  LST apparent = 64.9343571985 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  65.73296 +/- 4.0733 deg
  Dec       = +48.17032 +/- 2.6581 deg
  Azimuth   = 154.39499 +/- 41.4897 deg
  Elevation = +88.76753 +/- 2.9949 deg
  Vavg      =  60.73964 +/- 1.9989 km/s
  Vinit     =  62.53529 +/- 2.2265 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  66.15824 +/- 4.0733 deg
  Dec       = +48.16659 +/- 2.6581 deg
  Azimuth   = 143.70295 +/- 41.4897 deg
  Elevation = +88.62104 +/- 2.9949 deg
  Vavg      =  60.74328 +/- 1.9989 km/s
  Vinit     =  62.53893 +/- 2.2265 km/s
Radiant (geocentric, J2000):
  R.A.   =  65.33766 +/- 4.0860 deg
  Dec    = +48.11277 +/- 2.6843 deg
  Vg     =  61.54456 +/- 2.2601 km/s
  Vinf   =  62.53529 +/- 2.2265 km/s
  Zc     =   1.06700 +/- 2.9966 deg
  Zg     =   1.07552 +/- 3.0160 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  71.90879 +/- 3.6721 deg
  Bg     = +26.21215 +/- 2.0359 deg
  Vh     =  41.17437 +/- 2.7162 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  47.96437 +/- 3.6632 deg
  Bh     = +41.32057 +/- 4.5286 deg
  Vh_x   = -20.70586 +/- 4.5446 km/s
  Vh_y   = -22.96745 +/- 1.3934 km/s
  Vh_z   = -27.18625 +/- 1.1551 km/s
Orbit:
  La Sun = 185.946964 +/- -0.0000 deg
  a      =  11.712582 +/- 47.4684 AU
  e      =   0.941932 +/- 0.1554
  i      = 127.283377 +/- 2.4530 deg
  peri   = 250.243380 +/- 3.7389 deg
  node   = 185.948554 +/- 0.0000 deg
  Pi     =  76.191934 +/- 3.7389 deg
  q      =   0.680126 +/- 0.0579 AU
  f      = 289.755933 +/- 3.7389 deg
  M      = 359.067388 +/- nan deg
  Q      =  22.745038 +/- 94.9316 AU
  n      =   0.024588 +/- 0.1686 deg/day
  T      =  40.084788 +/- 485215278.1777 years
  Last perihelion JD = 2444883.380193 (1981-10-05 21:07:28.676424) +/- 208352.6290 days
  Tj     =  -0.165993 +/- 1.4308
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.504131e-03, -1.970136e-03, -6.078608e+03, -1.950572e-08, +2.584638e-03, +1.334965e-03
q   , -1.970136e-03, +9.010168e-04, +3.284350e+03, +8.618324e-09, -1.213206e-03, -5.882481e-04
Tp  , -6.078608e+03, +3.284350e+03, +4.760609e+10, +2.278870e-02, -4.721531e+03, -1.519225e+03
node, -1.950572e-08, +8.618324e-09, +2.278870e-02, +8.899010e-14, -1.141008e-08, -6.097544e-09
peri, +2.584638e-03, -1.213206e-03, -4.721531e+03, -1.141008e-08, +1.657613e-03, +7.776721e-04
i   , +1.334965e-03, -5.882481e-04, -1.519225e+03, -6.097544e-09, +7.776721e-04, +4.179288e-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: UK0021
  Avg. res. = 3.895e-06 s
  Stddev    = 1.97e-03 s

Begin point on the trajectory:
  Lon =    -5.838634 +/- 0.0124 deg
  Lat =    49.284949 +/- 0.0073 deg
  Ht  = 116608.21 +/- 656.14 m
End point on the trajectory:
  Lon =    -5.844338 +/- 0.0120 deg
  Lat =    49.290016 +/- 0.0068 deg
  Ht  = 87174.87 +/- 391.28 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000067,  31.462046,   116608.21,    87301.69,          0.015361,     44.93,     50.03,              58.04, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210929_041021_215_0867072.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.553077,  12.038694,   109329.35,    87174.87,          0.006204,     29.68,     29.07,              67.02, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210929_041021_650_0877568.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,     UK0021,       1,  0.000000, 2459486.673960715532,  25.70122,  -2.33300,              227.64248,  26.24162,       227.66570,       26.24210,     25.70122,      -2.33300,      25.68303,       -2.32281,  1798892.96,  3846227.44,  4901445.59,      49.284551,       -5.838173,  118930.95,  259511.82,       0.00,                4.76,   202.45,      0.00,           60864.00,    -70.22,    -63.01,          74.99,  +4.06,  +1.99
  1,     UK0021,       0,  0.040392, 2459486.673961183056,  25.48118,  -2.72900,              227.65208,  25.78878,       227.67954,       25.78935,     25.48118,      -2.72900,      25.45975,       -2.71690,  1798256.16,  3844814.92,  4899714.45,      49.284949,       -5.838634,  116608.21,  258412.87,    2323.27,             2328.03,    -0.20,  57518.10,           60864.00,    -83.03,    -74.50,          89.04,  +2.74,  +0.68
  2,     UK0021,       0,  0.080820, 2459486.673961651046,  25.21833,  -3.14746,              227.69154,  25.29608,       227.69433,       25.29613,     25.21833,      -3.14746,      25.21647,       -3.14623,  1797568.42,  3843289.39,  4897844.82,      49.285379,       -5.839118,  114099.64,  257243.65,    4832.40,             4837.16,   -19.25,  62064.12,           60864.00,     -8.41,     -7.55,           9.06,  +1.95,  -0.10
  3,     UK0021,       0,  0.121252, 2459486.673962119035,  24.96527,  -3.58164,              227.71282,  24.79413,       227.70924,       24.79405,     24.96527,      -3.58164,      24.96862,       -3.58323,  1796874.60,  3841750.41,  4895958.69,      49.285814,       -5.839605,  111568.91,  256083.54,    7363.67,             7368.43,   -16.41,  62605.64,           60864.00,     10.82,      9.72,          11.71,  +1.17,  -0.87
  4,     UK0021,       0,  0.161696, 2459486.673962587025,  24.71411,  -4.02642,              227.72635,  24.28375,       227.72425,       24.28371,     24.71411,      -4.02642,      24.71646,       -4.02736,  1796175.70,  3840200.13,  4894058.73,      49.286251,       -5.840094,  109019.61,  254934.92,    9913.51,             9918.27,     4.26,  63046.28,           61514.92,      6.35,      5.70,           6.90,  +0.57,  -1.46
  5,     UK0021,       0,  0.202144, 2459486.673963055015,  24.44665,  -4.47388,              227.75376,  23.76343,       227.73942,       23.76313,     24.44665,      -4.47388,      24.45897,       -4.48032,  1795469.13,  3838632.86,  4892137.93,      49.286694,       -5.840588,  106442.33,  253794.37,   12491.31,            12496.07,    52.63,  63731.18,           62017.61,     43.25,     38.87,          47.26,  +0.33,  -1.69
  6,     UK0021,       0,  0.242600, 2459486.673963523470,  24.18319,  -4.93186,              227.77138,  23.23577,       227.75466,       23.23542,     24.18319,      -4.93186,      24.19764,       -4.93940,  1794759.26,  3837058.24,  4890208.14,      49.287139,       -5.841083,  103852.98,  252669.75,   15081.18,            15085.94,   112.57,  64016.85,           62411.44,     50.39,     45.29,          55.31,  +0.04,  -1.97
  7,     UK0021,       0,  0.283028, 2459486.673963991459,  23.93936,  -5.36485,              227.78254,  22.73944,       227.76903,       22.73915,     23.93936,      -5.36485,      23.95145,       -5.37097,  1794097.41,  3835590.17,  4888408.92,      49.287555,       -5.841556,  101438.80,  251641.23,   17495.82,            17500.58,    -0.97,  59726.96,           62351.79,     40.71,     36.59,          44.86,  -0.20,  -2.20
  8,     UK0021,       0,  0.323476, 2459486.673964459449,  23.68372,  -5.81863,              227.79383,  22.21930,       227.78388,       22.21909,     23.68372,      -5.81863,      23.69314,       -5.82316,  1793409.50,  3834064.27,  4886538.83,      49.287987,       -5.842042,   98929.52,  250592.05,   20005.57,            20010.33,   -20.64,  62048.82,           62303.76,     29.97,     26.94,          33.17,  -0.10,  -2.09
  9,     UK0021,       0,  0.363924, 2459486.673964927439,  23.44968,  -6.28293,              227.77889,  21.70011,       227.79861,       21.70052,     23.44968,      -6.28293,      23.43514,       -6.27392,  1792729.21,  3832555.27,  4884689.45,      49.288415,       -5.842524,   96448.02,  249575.06,   22487.52,            22492.27,   -68.13,  61361.38,           62227.89,    -59.41,    -53.34,          65.99,  -0.02,  -2.01
 10,     UK0021,       0,  0.404380, 2459486.673965395894,  23.15077,  -6.72728,              227.83459,  21.16817,       227.81359,       21.16773,     23.15077,      -6.72728,      23.16963,       -6.73693,  1792035.90,  3831017.42,  4882804.72,      49.288851,       -5.843013,   93919.05,  248559.69,   25016.92,            25021.68,   -68.65,  62522.38,           62199.90,     63.20,     56.83,          70.53,  -0.16,  -2.14
 11,     UK0021,       0,  0.444820, 2459486.673965863883,  22.92574,  -7.18910,              227.81147,  20.65563,       227.82797,       20.65597,     22.92574,      -7.18910,      22.91405,       -7.18149,  1791375.25,  3829551.99,  4881008.74,      49.289267,       -5.843487,   91509.17,  247612.68,   27427.21,            27431.96,  -187.29,  59601.54,           62083.81,    -49.67,    -44.61,          55.61,  -0.14,  -2.11
 12,     UK0021,       0,  0.485280, 2459486.673966332339,  22.63803,  -7.64427,              227.84964,  20.11964,       227.84286,       20.11949,     22.63803,      -7.64427,      22.64564,       -7.64740,  1790687.97,  3828027.50,  4879140.38,      49.289700,       -5.843973,   89002.15,  246648.32,   29934.63,            29939.39,  -210.04,  61972.93,           62010.00,     20.36,     18.31,          22.90,  -0.18,  -2.14
 13,     UK0021,       0,  0.525596, 2459486.673966798931,  22.48390,  -7.97914,              227.82383,  19.75239,       227.85365,       19.75301,     22.48390,      -7.97914,      22.46145,       -7.96529,  1790221.83,  3826993.52,  4877873.17,      49.289994,       -5.844357,   87301.69,  246009.25,   31635.29,            31640.05, -1030.56,  42183.20,           61399.03,    -89.68,    -80.51,         101.05,  +1.95,  -0.00
  0,     UK003E,       1,  0.113083, 2459486.673962035682,  17.63286,  -9.21595,              232.96087,  15.07288,       232.93236,       15.07227,     17.63286,      -9.21595,      17.65709,       -9.23038,  1796911.55,  3841832.36,  4896059.13,      49.285790,       -5.839558,  111703.68,  387593.29,       0.00,             7233.64,   359.68,      0.00,           58823.30,    130.26,    133.13,          99.12,  +2.20,  -0.74
  1,     UK003E,       0,  0.153383, 2459486.673962502275,  17.48151,  -9.51585,              232.93744,  14.73862,       232.94120,       14.73870,     17.48151,      -9.51585,      17.47902,       -9.51395,  1796260.61,  3840388.49,  4894289.57,      49.286198,       -5.840025,  109329.35,  386848.20,    2374.83,             9608.47,   214.34,  58928.77,           58823.30,    -17.15,    -17.51,          13.07,  +0.85,  -2.09
  2,     UK003E,       0,  0.193683, 2459486.673962968867,  17.30779,  -9.79485,              232.94439,  14.41133,       232.94987,       14.41145,     17.30779,      -9.79485,      17.30402,       -9.79206,  1795624.42,  3838977.32,  4892560.09,      49.286597,       -5.840485,  107008.78,  386132.90,    4695.87,            11929.51,    15.21,  57594.12,           58823.30,    -25.05,    -25.57,          19.12,  +0.20,  -2.73
  3,     UK003E,       0,  0.233995, 2459486.673963434994,  17.12757, -10.09003,              232.94824,  14.06690,       232.95890,       14.06712,     17.12757,     -10.09003,      17.11961,      -10.08460,  1794957.53,  3837498.03,  4890747.13,      49.287015,       -5.840960,  104576.18,  385396.20,    7128.95,            14362.59,   -72.64,  60356.16,           58823.30,    -48.69,    -49.70,          37.23,  -0.22,  -3.15
  4,     UK003E,       0,  0.274323, 2459486.673963902052,  16.92075, -10.39101,              232.97194,  13.70430,       232.96834,       13.70422,     16.92075,     -10.39101,      16.92493,      -10.39285,  1794257.33,  3835944.89,  4888843.65,      49.287454,       -5.841451,  102022.13,  384637.33,    9683.50,            16917.14,   -40.01,  63344.36,           59840.40,     16.44,     16.79,          12.60,  -0.31,  -3.24
  5,     UK003E,       0,  0.314651, 2459486.673964368645,  16.71854, -10.69818,              232.98791,  13.33874,       232.97781,       13.33852,     16.71854,     -10.69818,      16.72836,      -10.70336,  1793554.48,  3834385.85,  4886932.95,      49.287896,       -5.841943,   99458.35,  383891.10,   12247.76,            19481.40,     2.32,  63585.05,           60666.11,     46.08,     47.07,          35.40,  -0.32,  -3.24
  6,     UK003E,       0,  0.354951, 2459486.673964835238,  16.55032, -10.98848,              232.98271,  13.00476,       232.98654,       13.00484,     16.55032,     -10.98848,      16.54858,      -10.98652,  1792915.59,  3832968.69,  4885196.13,      49.288298,       -5.842405,   97127.88,  383227.24,   14578.65,            21812.29,  -186.96,  57838.43,           60658.04,    -17.46,    -17.83,          13.43,  -0.33,  -3.25
  7,     UK003E,       0,  0.395279, 2459486.673965301830,  16.34771, -11.29616,              232.99789,  12.63874,       232.99597,       12.63870,     16.34771,     -11.29616,      16.35099,      -11.29715,  1792217.01,  3831419.13,  4883297.04,      49.288737,       -5.842896,   94579.66,  382515.43,   17127.32,            24360.96,  -160.21,  63198.49,           60866.46,      8.74,      8.93,           6.74,  -0.36,  -3.27
  8,     UK003E,       0,  0.435619, 2459486.673965768889,  16.14450, -11.62184,              233.00372,  12.25703,       233.00573,       12.25708,     16.14450,     -11.62184,      16.14462,      -11.62081,  1791491.57,  3829809.99,  4881324.94,      49.289194,       -5.843399,   91933.46,  381792.50,   19773.97,            27007.61,   -36.23,  65608.71,           61280.09,     -9.15,     -9.34,           7.06,  -0.32,  -3.23
  9,     UK003E,       0,  0.475939, 2459486.673966235481,  15.94290, -11.92113,              233.02141,  11.89896,       233.01494,       11.89882,     15.94290,     -11.92113,      15.95039,      -11.92448,  1790813.05,  3828304.94,  4879480.40,      49.289621,       -5.843881,   89458.40,  381132.30,   22249.43,            29483.07,   -82.20,  61395.27,           61496.91,     29.49,     30.13,          22.82,  -0.57,  -3.48
 10,     UK003E,       0,  0.516235, 2459486.673966702074,  15.76091, -12.20112,              233.03184,  11.56734,       233.02354,       11.56717,     15.76091,     -12.20112,      15.77014,      -12.20543,  1790187.05,  3826916.37,  4877778.61,      49.290016,       -5.844338,   87174.87,  380537.17,   24533.30,            31766.94,  -318.24,  56677.46,           61396.21,     37.79,     38.60,          29.28,  +0.25,  -2.65

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.