Orbital Analysis for matched events on 20210813_232629.758_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 204.98° Bg 81.12° Vg 19.85km/s
mass 0.02403g, abs. mag 2.3
Path Details
------------
start -4.00° 51.26° 92.91km
end   -3.93° 51.23° 81.90km

Orbit Details
-------------
Semimajor axis 2.67A.U., eccentricity 0.62, inclination 31.38°, Period 4.37Y, LA Sun 141.13°, last Perihelion 2021-08-10

Full details below
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Detailed report below graphs

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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: 2459440.476733318996
Time: 2021-08-13 23:26:29.758761 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK0024
 Convergence angle = 83.09343 deg
 R.A. = 258.03999  Dec = +62.32193 deg

Best intersection: Stations UK0020 and UK0024 with Qconv = 83.09 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2620941.88 +/- 41.06 m
 Y =  -3097293.85 +/- 134.69 m
 Z =   5024402.85 +/- 227.90 m
 Vx =    -2355.70 +/- 11.82 m/s
 Vy =   -10458.72 +/- 150.23 m/s
 Vz =    20062.88 +/- 504.92 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.656305e+03, +3.795976e+03, -7.252018e+03, +3.632128e+03, +5.787188e+03, -1.141832e+04
+3.795976e+03, +1.215740e+04, -2.135063e+04, +6.983943e+03, +1.927569e+04, -3.021571e+04
-7.252018e+03, -2.135063e+04, +4.013113e+04, -1.159675e+04, -2.681397e+04, +4.657939e+04
+3.632128e+03, +6.983943e+03, -1.159675e+04, +1.329981e+04, +2.211409e+04, -4.183639e+04
+5.787188e+03, +1.927569e+04, -2.681397e+04, +2.211409e+04, +7.046921e+04, -1.036294e+05
-1.141832e+04, -3.021571e+04, +4.657939e+04, -4.183639e+04, -1.036294e+05, +1.713272e+05

Timing offsets (from input data):
    UK0020: -0.000530 s
    UK0024: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:26:29.758761 UTC
  Lon     = +-3.998729 +/- 0.0016 deg
  Lat     = +51.262996 +/- 0.0008 deg
  Lat geo = +51.077721 +/- 0.0008 deg
  Ht      =   92889.50 +/- 225.13 m

  JD dynamic   = 2459440.477534059901 
  LST apparent = 310.2380267429 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 257.30666 +/- 0.3608 deg
  Dec       = +61.88188 +/- 0.2493 deg
  Azimuth   = 311.29455 +/- 0.4941 deg
  Elevation = +59.96599 +/- 0.1670 deg
  Vavg      =  22.79664 +/- 0.1785 km/s
  Vinit     =  22.74760 +/- 0.5195 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 258.28116 +/- 0.3608 deg
  Dec       = +62.40549 +/- 0.2493 deg
  Azimuth   = 312.29660 +/- 0.4941 deg
  Elevation = +60.44933 +/- 0.1670 deg
  Vavg      =  22.68704 +/- 0.1785 km/s
  Vinit     =  22.63800 +/- 0.5195 km/s
Radiant (geocentric, J2000):
  R.A.   = 252.82342 +/- 0.3755 deg
  Dec    = +61.70956 +/- 0.2519 deg
  Vg     =  19.84981 +/- 0.5891 km/s
  Vinf   =  22.74760 +/- 0.5195 km/s
  Zc     =  30.15657 +/- 0.1671 deg
  Zg     =  32.25651 +/- 0.1573 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 204.97819 +/- 1.7417 deg
  Bg     = +81.11772 +/- 0.1346 deg
  Vh     =  37.67703 +/- 0.4261 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 229.28754 +/- 0.1364 deg
  Bh     = +31.36782 +/- 0.6200 deg
  Vh_x   =  20.98349 +/- 0.1018 km/s
  Vh_y   =  24.38483 +/- 0.1280 km/s
  Vh_z   = -19.61203 +/- 0.5768 km/s
Orbit:
  La Sun = 141.126469 +/- 0.0000 deg
  a      =   2.673429 +/- 0.3767 AU
  e      =   0.621435 +/- 0.0372
  i      =  31.381028 +/- 0.6202 deg
  peri   = 175.899985 +/- 0.3437 deg
  node   = 141.132862 +/- 0.0001 deg
  Pi     = 317.032847 +/- 0.3436 deg
  q      =   1.012066 +/- 0.0002 AU
  f      =   4.092959 +/- 0.3436 deg
  M      =   0.749171 +/- 0.1471 deg
  Q      =   4.334793 +/- 0.7533 AU
  n      =   0.225477 +/- 0.0306 deg/day
  T      =   4.371230 +/- 1.0159 years
  Last perihelion JD = 2459437.154922 (2021-08-10 15:43:05.241017) +/- 0.2975 days
  Tj     =   2.905449 +/- 0.1875
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.167919e-03, +8.194887e-07, +4.104268e-03, -7.952958e-08, +6.331368e-05, +3.557807e-04
q   , +8.194887e-07, +3.012862e-08, +4.572294e-05, -2.274942e-11, +9.798123e-07, +1.214798e-07
Tp  , +4.104268e-03, +4.572294e-05, +7.661748e-02, -2.314756e-07, +1.580069e-03, +1.064157e-03
node, -7.952958e-08, -2.274942e-11, -2.314756e-07, +5.518416e-12, -3.261636e-09, -2.467373e-08
peri, +6.331368e-05, +9.798123e-07, +1.580069e-03, -3.261636e-09, +3.306787e-05, +1.521613e-05
i   , +3.557807e-04, +1.214798e-07, +1.064157e-03, -2.467373e-08, +1.521613e-05, +1.103427e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.640264
 a2 = 6.839480

Mean time residuals from time vs. length:
  Station with reference time: UK0024
  Avg. res. = 2.563e-05 s
  Stddev    = 5.06e-03 s

Begin point on the trajectory:
  Lon =    -3.998838 +/- 0.0008 deg
  Lat =    51.263056 +/- 0.0003 deg
  Ht  = 92907.28 +/- 76.46 m
End point on the trajectory:
  Lon =    -3.933603 +/- 0.0008 deg
  Lat =    51.225765 +/- 0.0004 deg
  Ht  = 81901.14 +/- 65.44 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
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.162157,  14.737962,    92489.05,    82942.27,          0.019123,     37.05,      7.76,              13.15, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210813_232628_746_0287744.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   3.552753,   6.395784,    92907.28,    81901.14,          0.030032,     61.48,     10.74,              14.29, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210813_232624_276_0290816.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,     UK0020,       0,  0.027444, 2459440.476733643562, 234.65652,  72.58791,              332.10707,  51.62362,       332.14302,       51.64816,    234.65652,     +72.58791,     234.72765,      +72.61339,  2620989.78, -3097081.18,  5023994.88,      51.261642,       -3.996390,   92489.05,  117395.13,       0.00,              462.56,  -158.32,      0.00,           23497.84,    -13.93,     66.51,         119.39,  +3.62,  +3.27
  1,     UK0020,       0,  0.067516, 2459440.476734107360, 234.28327,  72.67118,              332.26490,  51.52499,       332.30318,       51.55104,    234.28327,     +72.67118,     234.35886,      +72.69843,  2621115.45, -3096523.20,  5022924.52,      51.258090,       -3.990112,   91438.45,  116219.62,    1213.59,             1676.15,   143.73,  30285.33,           23497.84,    -14.66,     70.06,         127.04,  +3.05,  +2.72
  2,     UK0020,       0,  0.107544, 2459440.476734570693, 234.10266,  72.73457,              332.37805,  51.48092,       332.39469,       51.49225,    234.10266,     +72.73457,     234.13589,      +72.74645,  2621189.04, -3096196.51,  5022297.83,      51.256009,       -3.986505,   90823.33,  115533.08,    1924.14,             2386.70,   -56.26,  17751.33,           23497.84,     -6.35,     30.31,          55.29,  +3.43,  +3.12
  3,     UK0020,       0,  0.147600, 2459440.476735034492, 233.81312,  72.81088,              332.51918,  51.40718,       332.52490,       51.41107,    233.81312,     +72.81088,     233.82499,      +72.81498,  2621290.10, -3095747.83,  5021437.13,      51.253150,       -3.981488,   89978.56,  114589.30,    2900.02,             3362.58,     8.44,  24362.75,           23497.84,     -2.17,     10.33,          19.01,  +2.89,  +2.59
  4,     UK0020,       0,  0.187664, 2459440.476735497825, 233.47709,  72.87671,              332.64705,  51.31895,       332.65906,       51.32709,    233.47709,     +72.87671,     233.50138,      +72.88535,  2621392.77, -3095291.97,  5020562.66,      51.250245,       -3.976387,   89120.29,  113630.84,    3891.50,             4354.06,    88.56,  24747.53,           23642.85,     -4.50,     21.50,          39.87,  +2.58,  +2.30
  5,     UK0020,       0,  0.227708, 2459440.476735961623, 233.21455,  72.95847,              332.79498,  51.25513,       332.78415,       51.24780,    233.21455,     +72.95847,     233.19432,      +72.95065,  2621487.79, -3094870.12,  5019753.43,      51.247556,       -3.971679,   88326.06,  112744.56,    4809.02,             5271.58,    95.18,  22912.83,           23580.00,      4.03,    -19.23,          35.94,  +3.00,  +2.74
  6,     UK0020,       0,  0.267784, 2459440.476736425422, 232.84160,  73.01904,              332.91752,  51.15674,       332.92265,       51.16021,    232.84160,     +73.01904,     232.85270,      +73.02276,  2621591.09, -3094411.50,  5018873.65,      51.244631,       -3.966545,   87462.63,  111781.21,    5806.53,             6269.09,   181.05,  24890.35,           23698.04,     -1.89,      9.03,          17.02,  +2.45,  +2.21
  7,     UK0020,       0,  0.307816, 2459440.476736888755, 232.63418,  73.07879,              333.02680,  51.10650,       333.01542,       51.09882,    232.63418,     +73.07879,     232.61334,      +73.07051,  2621661.53, -3094098.77,  5018273.75,      51.242636,       -3.963097,   86873.85,  111125.66,    6486.70,             6949.26,   -49.40,  16990.78,           23188.60,      4.17,    -19.92,          37.78,  +3.07,  +2.84
  8,     UK0020,       0,  0.347888, 2459440.476737352554, 232.28571,  73.13101,              333.13483,  51.01500,       333.13995,       51.01844,    232.28571,     +73.13101,     232.29704,      +73.13475,  2621753.14, -3093692.04,  5017493.52,      51.240040,       -3.958562,   86108.12,  110272.42,    7371.35,             7833.90,   -76.30,  22076.30,           22876.64,     -1.86,      8.87,          16.96,  +2.51,  +2.30
  9,     UK0020,       0,  0.387924, 2459440.476737815887, 232.01452,  73.22886,              333.30868,  50.95372,       333.27522,       50.93120,    232.01452,     +73.22886,     231.95141,      +73.20432,  2621850.99, -3093257.62,  5016660.19,      51.237267,       -3.953706,   85290.31,  109361.35,    8316.19,             8778.75,   -42.18,  23599.87,           22757.27,     12.08,    -57.63,         111.06,  +2.58,  +2.39
 10,     UK0020,       0,  0.428012, 2459440.476738279685, 231.63747,  73.24264,              333.35929,  50.84885,       333.37910,       50.86208,    231.63747,     +73.24264,     231.67707,      +73.25722,  2621926.71, -3092921.43,  5016015.28,      51.235121,       -3.949985,   84657.39,  108657.35,    9047.40,             9509.96,  -222.88,  18240.07,           22486.64,     -7.06,     33.79,          65.54,  +2.72,  +2.54
 11,     UK0020,       0,  0.468044, 2459440.476738743018, 231.39037,  73.33643,              333.52492,  50.79502,       333.50320,       50.78049,    231.39037,     +73.33643,     231.35075,      +73.32039,  2622015.12, -3092528.92,  5015262.33,      51.232614,       -3.945613,   83918.49,  107835.24,    9901.10,            10363.66,  -279.81,  21325.43,           22285.90,      7.71,    -36.84,          71.98,  +2.24,  +2.08
 12,     UK0020,       0,  0.508132, 2459440.476739207283, 230.92626,  73.41387,              333.68230,  50.67794,       333.67228,       50.67127,    230.92626,     +73.41387,     230.90935,      +73.40643,  2622131.93, -3092010.32,  5014267.49,      51.229301,       -3.939782,   82942.27,  106748.65,   11029.06,            11491.62,   -63.76,  28137.17,           22357.63,      3.52,    -16.81,          33.18,  +2.79,  +2.65
 13,     UK0020,       1,  0.548200, 2459440.476739671081, 230.65220,  73.39273,              333.67187,  50.59713,       333.72459,       50.63200,    230.65220,     +73.39273,     230.75324,      +73.43198,  2622171.74, -3091833.55,  5013928.40,      51.228171,       -3.937904,   82609.41,  106380.54,   11413.53,            11876.09,  -590.74,   9595.33,           22037.94,    -18.31,     87.84,         173.98,  +4.45,  +4.32
  0,     UK0024,       0,  0.000000, 2459440.476733318996, 239.26480,  51.81796,              300.61690,  46.90355,       300.66855,       46.88756,    239.26480,     +51.81796,     239.21479,      +51.84133,  2620939.75, -3097303.30,  5024420.97,      51.263056,       -3.998838,   92907.28,  126370.41,       0.00,               20.55,    23.95,      0.00,           23011.94,     14.69,    -84.18,         139.47,  +6.13,  +5.62
  1,     UK0024,       0,  0.040096, 2459440.476733783260, 239.07197,  51.77442,              300.64450,  46.77800,       300.60319,       46.79064,    239.07197,     +51.77442,     239.11199,      +51.75566,  2621035.79, -3096876.91,  5023603.04,      51.260342,       -3.994081,   92104.44,  125477.73,     927.38,              906.84,    -1.85,  23129.09,           23011.94,    -11.61,     66.85,         111.54,  +5.08,  +4.59
  2,     UK0024,       0,  0.080196, 2459440.476734247059, 238.99409,  51.66477,              300.53810,  46.68297,       300.53222,       46.68478,    238.99409,     +51.66477,     239.00011,      +51.66211,  2621139.38, -3096417.00,  5022720.79,      51.257413,       -3.988935,   91238.48,  124514.77,    1927.69,             1907.15,    86.29,  24945.39,           23011.94,     -1.65,      9.47,          15.92,  +4.11,  +3.63
  3,     UK0024,       0,  0.120280, 2459440.476734711323, 238.91779,  51.57904,              300.46206,  46.60009,       300.47310,       46.59669,    238.91779,     +51.57904,     238.90760,      +51.58403,  2621223.71, -3096042.59,  5022002.57,      51.255028,       -3.984777,   90533.53,  123732.53,    2742.02,             2721.48,   -11.20,  20315.55,           23011.94,      3.08,    -17.69,          29.93,  +3.56,  +3.10
  4,     UK0024,       0,  0.160380, 2459440.476735175122, 238.77742,  51.50598,              300.43069,  46.48832,       300.40594,       46.49591,    238.77742,     +51.50598,     238.80204,      +51.49477,  2621319.32, -3095618.10,  5021188.27,      51.252324,       -3.980039,   89734.30,  122845.13,    3665.28,             3644.74,    -0.12,  23023.96,           22809.22,     -6.85,     39.40,          67.15,  +3.41,  +2.96
  5,     UK0024,       0,  0.200468, 2459440.476735639386, 238.68545,  51.42052,              300.36282,  46.39667,       300.34379,       46.40250,    238.68545,     +51.42052,     238.70471,      +51.41191,  2621406.38, -3095231.55,  5020446.76,      51.249860,       -3.975740,   89006.52,  122038.08,    4506.02,             4485.47,   -71.29,  20972.25,           22488.92,     -5.24,     30.13,          51.69,  +2.89,  +2.46
  6,     UK0024,       0,  0.240588, 2459440.476736103650, 238.54504,  51.31137,              300.28698,  46.26683,       300.25998,       46.27510,    238.54504,     +51.31137,     238.57220,      +51.29915,  2621524.41, -3094707.52,  5019441.51,      51.246519,       -3.969851,   88019.93,  120942.11,    5645.79,             5625.25,   155.85,  28409.09,           23009.26,     -7.38,     42.45,          73.48,  +3.07,  +2.66
  7,     UK0024,       0,  0.280664, 2459440.476736567449, 238.48649,  51.23016,              300.21070,  46.19506,       300.20753,       46.19603,    238.48649,     +51.23016,     238.49075,      +51.22873,  2621595.28, -3094392.89,  5018837.96,      51.244512,       -3.966381,   87427.57,  120287.22,    6330.10,             6309.55,   -71.47,  17075.30,           22731.78,     -0.87,      4.98,           8.66,  +3.21,  +2.81
  8,     UK0024,       0,  0.320776, 2459440.476737031713, 238.42531,  51.09085,              300.06304,  46.09302,       300.12724,       46.07316,    238.42531,     +51.09085,     238.36412,      +51.11976,  2621705.62, -3093903.00,  5017898.21,      51.241387,       -3.960885,   86505.30,  119264.19,    7395.61,             7375.06,    81.58,  26563.31,           22857.82,     17.47,    -99.97,         175.52,  +2.78,  +2.40
  9,     UK0024,       0,  0.360864, 2459440.476737495512, 238.28796,  51.03371,              300.05304,  45.98972,       300.06922,       45.98475,    238.28796,     +51.03371,     238.27374,      +51.04100,  2621782.87, -3093560.02,  5017240.27,      51.239198,       -3.957087,   85859.59,  118550.43,    8141.58,             8121.04,   -84.35,  18608.41,           22690.25,      4.37,    -25.05,          44.24,  +2.75,  +2.38
 10,     UK0024,       0,  0.400972, 2459440.476737959776, 238.13763,  50.95254,              300.01935,  45.86728,       299.99725,       45.87405,    238.13763,     +50.95254,     238.16077,      +50.94256,  2621879.04, -3093133.06,  5016421.24,      51.236472,       -3.952317,   85055.82,  117660.67,    9070.21,             9049.66,   -68.08,  23153.20,           22619.89,     -5.92,     34.00,          60.50,  +2.49,  +2.14
 11,     UK0024,       0,  0.441072, 2459440.476738424040, 238.13322,  50.80013,              299.83178,  45.78883,       299.92368,       45.76034,    238.13322,     +50.80013,     238.04528,      +50.84140,  2621976.32, -3092701.15,  5015592.72,      51.233714,       -3.947490,   84242.75,  116761.05,   10009.61,             9989.06,   -40.86,  23426.33,           22610.32,     24.65,   -140.80,         252.52,  +3.38,  +3.04
 12,     UK0024,       0,  0.481160, 2459440.476738887839, 237.94640,  50.77230,              299.88200,  45.67266,       299.86922,       45.67658,    237.94640,     +50.77230,     237.96085,      +50.76653,  2622046.15, -3092391.16,  5014998.06,      51.231734,       -3.944072,   83659.15,  116117.67,   10683.84,            10663.29,  -278.54,  16818.83,           22413.65,     -3.39,     19.47,          35.11,  +2.54,  +2.22
 13,     UK0024,       0,  0.521292, 2459440.476739352569, 237.86570,  50.61775,              299.72780,  45.55075,       299.77876,       45.53504,    237.86570,     +50.61775,     237.81810,      +50.64065,  2622164.45, -3091865.93,  5013990.51,      51.228378,       -3.938164,   82670.47,  115023.40,   11826.21,            11805.67,   -49.07,  28465.41,           22463.09,     13.47,    -77.13,         140.40,  +2.55,  +2.25
 14,     UK0024,       0,  0.561400, 2459440.476739816833, 237.73538,  50.52492,              299.67317,  45.43243,       299.70658,       45.42214,    237.73538,     +50.52492,     237.70510,      +50.53994,  2622256.50, -3091457.23,  5013206.51,      51.225765,       -3.933603,   81901.14,  114174.05,   12715.12,            12694.57,   -72.52,  22162.83,           22487.72,      8.77,    -50.27,          92.19,  +4.43,  +4.14
 15,     UK0024,       1,  0.601500, 2459440.476740280632, 237.59922,  50.44448,              299.63705,  45.31696,       299.63909,       45.31633,    237.59922,     +50.44448,     237.59974,      +50.44540,  2622341.29, -3091080.79,  5012484.40,      51.223359,       -3.929414,   81192.52,  113392.76,   13533.87,            13513.32,  -165.95,  20417.71,           22458.53,      0.53,     -3.06,           5.64,  +6.93,  +6.66

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.