Orbital Analysis for matched events on 20211103_000913.113_UK

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Summary for Event
-----------------
shower ID 593 TOL
Lg 107.04° Bg 19.51° Vg 59.84km/s
mass 0.22529g, abs. mag -3.1
best visual mag -0.2
Path Details
------------
start 5.75° 51.11° 111.29km
end   5.56° 51.09° 95.81km

Orbit Details
-------------
Semimajor axis 2.25A.U., eccentricity 0.76, inclination 137.38°, Period 3.38Y, LA Sun 220.49°, last Perihelion 2018-07-31

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: 2459521.506401782390
Time: 2021-11-03 00:09:13.154151 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0004 and UK002F
 Convergence angle = 22.09477 deg
 R.A. = 105.98266  Dec = +45.89765 deg
Intersection 2 - Stations: UK0004 and UK002N
 Convergence angle = 13.64975 deg
 R.A. = 112.30570  Dec = +40.85741 deg
Intersection 3 - Stations: UK002F and UK002N
 Convergence angle = 8.68638 deg
 R.A. =  98.77665  Dec = +55.57881 deg

Best intersection: Stations UK0004 and UK002F with Qconv = 22.09 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2593718.32 +/- 677.85 m
 Y =   3153366.38 +/- 723.20 m
 Z =   5029925.84 +/- 296.58 m
 Vx =   -16744.84 +/- 1769.14 m/s
 Vy =    42140.12 +/- 1451.96 m/s
 Vz =    40590.88 +/- 2005.40 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.705957e+05, -5.012390e+05, -2.016942e+05, +1.361723e+06, -5.915843e+05, +4.493625e+05
-5.012390e+05, +5.384899e+05, +2.160028e+05, -1.447712e+06, +6.333461e+05, -5.013875e+05
-2.016942e+05, +2.160028e+05, +9.200573e+04, -5.734133e+05, +2.453828e+05, -1.626188e+05
+1.361723e+06, -1.447712e+06, -5.734133e+05, +4.507784e+06, -2.269878e+06, +1.348280e+06
-5.915843e+05, +6.333461e+05, +2.453828e+05, -2.269878e+06, +1.443564e+06, -4.391055e+05
+4.493625e+05, -5.013875e+05, -1.626188e+05, +1.348280e+06, -4.391055e+05, +1.127273e+06

Timing offsets (from input data):
    UK0004: 0.000000 s
    UK002C: 0.000000 s
    UK002F: 0.000553 s
    UK002N: 0.000868 s

Reference point on the trajectory:
  Time: 2021-11-03 00:09:13.154151 UTC
  Lon     = ++5.778146 +/- 0.0138 deg
  Lat     = +51.117049 +/- 0.0009 deg
  Lat geo = +50.932153 +/- 0.0009 deg
  Ht      =  113255.39 +/- 310.87 m

  JD dynamic   = 2459521.507202988025 
  LST apparent = 50.5618961841 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 111.67094 +/- 2.3722 deg
  Dec       = +41.83345 +/- 1.6764 deg
  Azimuth   =  78.01749 +/- 1.0905 deg
  Elevation = +48.17293 +/- 2.2764 deg
  Vavg      =  62.44709 +/- 2.8349 km/s
  Vinit     =  60.85884 +/- 1.0949 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 111.85167 +/- 2.3722 deg
  Dec       = +41.67014 +/- 1.6764 deg
  Azimuth   =  78.10413 +/- 1.0905 deg
  Elevation = +47.96923 +/- 2.2764 deg
  Vavg      =  62.64174 +/- 2.8349 km/s
  Vinit     =  61.05349 +/- 1.0949 km/s
Radiant (geocentric, J2000):
  R.A.   = 111.70031 +/- 2.3758 deg
  Dec    = +41.66980 +/- 1.6935 deg
  Vg     =  59.83936 +/- 1.1155 km/s
  Vinf   =  60.85884 +/- 1.0949 km/s
  Zc     =  41.86578 +/- 2.2736 deg
  Zg     =  42.23602 +/- 2.2897 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 107.03883 +/- 2.0375 deg
  Bg     = +19.50710 +/- 1.4732 deg
  Vh     =  37.34379 +/- 1.0020 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.98848 +/- 4.2706 deg
  Bh     = +32.34937 +/- 1.6026 deg
  Vh_x   =  -3.30398 +/- 2.0776 km/s
  Vh_y   = -31.37458 +/- 1.0168 km/s
  Vh_z   = -19.98193 +/- 1.1943 km/s
Orbit:
  La Sun = 220.492704 +/- 0.0000 deg
  a      =   2.253144 +/- 0.2834 AU
  e      =   0.755748 +/- 0.0351
  i      = 137.378628 +/- 4.5666 deg
  peri   = 271.980891 +/- 4.5752 deg
  node   = 220.494316 +/- 0.0001 deg
  Pi     = 132.475207 +/- 4.5752 deg
  q      =   0.550335 +/- 0.0308 AU
  f      = 268.020243 +/- 4.5752 deg
  M      = 346.876178 +/- 4.7823 deg
  Q      =   3.955952 +/- 0.5564 AU
  n      =   0.291421 +/- 0.0893 deg/day
  T      =   3.382081 +/- 0.5902 years
  Last perihelion JD = 2458331.214513 (2018-07-31 17:08:53.951050) +/- 216.9788 days
  Tj     =   1.675646 +/- 0.4163
Shower association:
  IAU No.  =  593
  IAU code =  TOL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.266911e-03, -3.971080e-05, -6.891678e+00, -2.534640e-06, -6.854948e-02, -1.161928e-01
q   , -3.971080e-05, +1.038387e-03, -2.890174e+00, +2.153813e-06, -1.410984e-01, +9.249284e-02
Tp  , -6.891678e+00, -2.890174e+00, +4.885558e+04, +7.171792e-03, +7.966347e+02, +3.541147e+02
node, -2.534640e-06, +2.153813e-06, +7.171792e-03, +1.090288e-08, -1.460599e-04, +4.798588e-04
peri, -6.854948e-02, -1.410984e-01, +7.966347e+02, -1.460599e-04, +2.351528e+01, -5.880468e+00
i   , -1.161928e-01, +9.249284e-02, +3.541147e+02, +4.798588e-04, -5.880468e+00, +2.126917e+01

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: UK0004
  Avg. res. = 6.723e-06 s
  Stddev    = 2.59e-03 s

Begin point on the trajectory:
  Lon =     5.753990 +/- 0.0119 deg
  Lat =    51.113819 +/- 0.0007 deg
  Ht  = 111289.78 +/- 266.88 m
End point on the trajectory:
  Lon =     5.561704 +/- 0.0083 deg
  Lat =    51.088112 +/- 0.0008 deg
  Ht  = 95807.26 +/- 138.90 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
    UK0004,   False,     0.265784,    50.757315,   55.00,   0.000000,   0.000000,   111289.78,   101502.85,          0.007378,     51.42,      5.01,              35.18, 0.3320,    True,    True, {"ff_name": "FF_UK0004_20211103_000903_120_0634624.fits"}
    UK002C,    True,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   107661.18,    98719.05,          0.042577,       nan,       nan,              40.78, 0.0000,    True,    True, {"ff_name": "FF_UK002C_20211103_000905_242_0622336.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107801.59,    96887.67,          0.024702,    186.82,    107.56,              42.53, 0.4570,    True,    True, {"ff_name": "FF_UK002F_20211103_000909_386_0609280.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   108552.85,    95807.26,          0.020414,    155.21,     52.74,              38.93, 0.3949,    True,    True, {"ff_name": "FF_UK002N_20211103_000909_769_0628480.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,     UK0004,       1,  0.000000, 2459521.506401782390, 131.90267,  16.04384,               82.05182,  14.32467,        81.96932,       14.30945,    131.90267,     +16.04384,     131.97608,      +16.08442,  2593765.18,  3153248.44,  5029812.24,      51.116841,       +5.776754,  113128.46,  408675.42,       0.00,              170.33,    23.77,      0.00,           60306.30,     57.88,   -577.55,         292.96,  +3.69,  +0.63
  1,     UK0004,       0,  0.040156, 2459521.506402247120, 132.05851,  15.92330,               82.01564,  14.13561,        82.00346,       14.13339,    132.05851,     +15.92330,     132.06950,      +15.92931,  2594444.18,  3151539.67,  5028166.28,      51.113819,       +5.753990,  111289.78,  406553.07,    2467.81,             2638.15,    47.74,  61455.64,           60306.30,      8.31,    -84.93,          43.29,  +2.34,  -0.71
  2,     UK0004,       0,  0.080288, 2459521.506402711850, 132.14935,  15.79425,               82.03392,  13.98078,        82.03304,       13.98061,    132.14935,     +15.79425,     132.15047,      +15.79469,  2595027.92,  3150070.64,  5026751.27,      51.111217,       +5.734388,  109709.38,  404730.10,    4589.38,             4759.72,  -273.08,  52864.82,           60306.30,      0.60,     -6.16,           3.16,  +2.27,  -0.77
  3,     UK0004,       0,  0.120452, 2459521.506403176580, 132.25400,  15.61509,               82.07525,  13.77918,        82.07209,       13.77860,    132.25400,     +15.61509,     132.25731,      +15.61664,  2595791.20,  3148149.77,  5024901.02,      51.107808,       +5.708798,  107643.34,  402354.47,    7363.50,             7533.84,    56.71,  69069.83,           60306.30,      2.13,    -21.81,          11.23,  +1.00,  -2.02
  4,     UK0004,       0,  0.160580, 2459521.506403640844, 132.33414,  15.47776,               82.10682,  13.62465,        82.10197,       13.62377,    132.33414,     +15.47776,     132.33912,      +15.48015,  2596370.62,  3146691.60,  5023496.45,      51.105215,       +5.689323,  106075.29,  400551.82,    9469.41,             9639.74,  -279.53,  52479.62,           59370.44,      3.25,    -33.34,          17.25,  +1.02,  -1.99
  5,     UK0004,       0,  0.200732, 2459521.506404105574, 132.43142,  15.31371,               82.14317,  13.43902,        82.13777,       13.43803,    132.43142,     +15.31371,     132.43707,      +15.31638,  2597058.53,  3144960.40,  5021828.90,      51.102131,       +5.666224,  104214.04,  398417.76,   11969.61,            12139.94,  -222.94,  62268.37,           59517.05,      3.61,    -37.04,          19.27,  +0.56,  -2.44
  6,     UK0004,       0,  0.240960, 2459521.506404571235, 132.59027,  15.07976,               82.17951,  13.16157,        82.19056,       13.16358,    132.59027,     +15.07976,     132.58144,      +15.07430,  2598060.86,  3142437.93,  5019399.16,      51.097625,       +5.632625,  101502.85,  395321.36,   15612.56,            15782.89,   971.79,  90557.63,           62902.50,     -7.30,     75.19,          39.42,  -0.22,  -3.20
  0,     UK002C,       1,  0.116765, 2459521.506403133739, 127.25136,   7.09695,               90.01281,   9.11230,        90.02933,        9.11816,    127.25136,      +7.09695,     127.23536,       +7.09124,  2595784.61,  3148166.35,  5024916.99,      51.107838,       +5.709032,  107661.18,  540192.91,       0.00,             7509.89,   257.15,      0.00,           59885.88,    -55.12,    153.77,          62.37,  +4.54,  +0.88
  1,     UK002C,       1,  0.156885, 2459521.506403598003, 127.32893,   6.97402,               90.03055,   8.96831,        90.07800,        8.98510,    127.32893,      +6.97402,     127.28225,       +6.95758,  2596388.15,  3146647.47,  5023453.94,      51.105136,       +5.688754,  106027.85,  538439.97,    2193.58,             9703.47,     9.06,  54675.37,           59885.88,   -157.46,    440.56,         179.22,  +1.35,  -2.31
  2,     UK002C,       1,  0.197033, 2459521.506404062733, 127.38542,   6.79853,               90.09817,   8.79661,        90.14125,        8.81186,    127.38542,      +6.79853,     127.34326,       +6.78360,  2597167.70,  3144685.65,  5021564.25,      51.101640,       +5.662599,  103918.70,  536184.10,    5026.84,            12536.74,   398.97,  70570.55,           59885.88,   -142.48,    398.49,         162.80,  +0.93,  -2.72
  3,     UK002C,       1,  0.237133, 2459521.506404526997, 127.40899,   6.66539,               90.16446,   8.67838,        90.18708,        8.68639,    127.40899,      +6.66539,     127.38741,       +6.65756,  2597728.56,  3143274.20,  5020204.69,      51.099120,       +5.643726,  102401.57,  534561.31,    7065.25,            14575.14,    -3.06,  50833.13,           59885.88,    -74.73,    208.60,          85.50,  +1.66,  -1.98
  4,     UK002C,       1,  0.277261, 2459521.506404991262, 127.49336,   6.53494,               90.18149,   8.52425,        90.23883,        8.54452,    127.49336,      +6.53494,     127.43730,       +6.51506,  2598358.46,  3141688.98,  5018677.75,      51.096285,       +5.622543,  100697.98,  532743.63,    9354.63,            16864.52,  -155.82,  57051.94,           58770.58,   -188.30,    527.33,         216.79,  +0.55,  -3.08
  5,     UK002C,       1,  0.317397, 2459521.506405455992, 127.53535,   6.36247,               90.25826,   8.36387,        90.29934,        8.37841,    127.53535,      +6.36247,     127.49568,       +6.34824,  2599090.34,  3139847.13,  5016903.61,      51.092984,       +5.597947,   98719.05,  530638.21,   12014.64,            19524.54,    61.56,  66274.92,           59524.27,   -134.60,    376.37,         155.37,  +3.56,  -0.06
  0,     UK002F,       0,  0.115140, 2459521.506403108593, 121.63002,   3.38820,               97.27731,   9.96258,        97.27558,        9.96174,    121.63002,      +3.38820,     121.63235,       +3.38858,  2595732.73,  3148296.91,  5025042.75,      51.108070,       +5.710770,  107801.59,  510209.60,       0.00,             7321.34,   167.49,      0.00,           58912.06,      8.43,    -14.61,           6.82,  +2.64,  -0.90
  1,     UK002F,       0,  0.155216, 2459521.506403572392, 121.65265,   3.24386,               97.34905,   9.83471,        97.34119,        9.83091,    121.65265,      +3.24386,     121.66176,       +3.24560,  2596294.09,  3146884.19,  5023681.96,      51.105558,       +5.691898,  106282.38,  508624.91,    2040.26,             9361.60,  -231.23,  50909.72,           58912.06,     38.29,    -66.28,          31.04,  +2.88,  -0.65
  2,     UK002F,       0,  0.195312, 2459521.506404036656, 121.68181,   3.05460,               97.44344,   9.66734,        97.42698,        9.65938,    121.68181,      +3.05460,     121.70035,       +3.05826,  2597024.30,  3145046.54,  5021911.87,      51.102284,       +5.667390,  104306.65,  506571.92,    4694.19,            12015.53,   -17.50,  66189.51,           58912.06,     79.96,   -138.35,          65.06,  +1.43,  -2.09
  3,     UK002F,       0,  0.235408, 2459521.506404500455, 121.72661,   2.89382,               97.50751,   9.51287,        97.50165,        9.51004,    121.72661,      +2.89382,     121.73390,       +2.89513,  2597655.40,  3143458.30,  5020382.02,      51.099449,       +5.646176,  102599.43,  504800.62,    6987.93,            14309.27,  -163.95,  57206.20,           58912.06,     28.35,    -49.09,          23.16,  +1.40,  -2.12
  4,     UK002F,       0,  0.275528, 2459521.506404965185, 121.77153,   2.68434,               97.60165,   9.31982,        97.59752,        9.31782,    121.77153,      +2.68434,     121.77713,       +2.68526,  2598460.77,  3141431.51,  5018429.75,      51.095824,       +5.619138,  100421.34,  502549.57,    9915.02,            17236.36,   321.48,  72958.34,           61795.38,     19.91,    -34.47,          16.34,  +0.89,  -2.62
  5,     UK002F,       0,  0.315640, 2459521.506405429449, 121.83602,   2.51352,               97.65604,   9.14533,        97.67821,        9.15602,    121.83602,      +2.51352,     121.81347,       +2.50858,  2599133.28,  3139739.07,  5016799.53,      51.092790,       +5.596523,   98602.98,  500673.43,   12359.25,            19680.59,   324.54,  60935.11,           62495.85,   -106.28,    184.37,          87.67,  +1.05,  -2.45
  6,     UK002F,       0,  0.355756, 2459521.506405893713, 121.90202,   2.35220,               97.70327,   8.97741,        97.75484,        9.00225,    121.90202,      +2.35220,     121.84798,       +2.34066,  2599767.81,  3138142.22,  5015261.39,      51.089922,       +5.575166,   96887.67,  498907.19,   14665.42,            21986.76,   189.30,  57487.56,           62209.11,   -246.08,    427.75,         204.02,  +2.93,  -0.56
  0,     UK002N,       0,  0.101299, 2459521.506402944680, 127.13740,   9.07525,               89.65431,  11.38893,        89.65833,       11.39031,    127.13740,      +9.07525,     127.13385,       +9.07382,  2595455.17,  3148995.43,  5025715.58,      51.109310,       +5.720075,  108552.85,  467465.96,       0.00,             6312.54,     1.06,      0.00,           60548.03,    -10.95,     32.21,          15.01,  +1.40,  -1.95
  1,     UK002N,       0,  0.141463, 2459521.506403409410, 127.16977,   8.89189,               89.74754,  11.22681,        89.72033,       11.21744,    127.16977,      +8.89189,     127.19727,       +8.90155,  2596161.97,  3147216.68,  5024002.23,      51.106149,       +5.696360,  106639.92,  465364.99,    2568.87,             8881.41,   125.59,  63959.42,           60548.03,     74.17,   -217.44,         101.83,  +0.72,  -2.62
  2,     UK002N,       0,  0.181603, 2459521.506403874140, 127.24029,   8.73987,               89.79068,  11.06502,        89.77668,       11.06021,    127.24029,      +8.73987,     127.25489,       +8.74485,  2596799.47,  3145612.33,  5022456.87,      51.103293,       +5.674944,  104914.91,  463472.99,    4885.87,            11198.41,    -0.28,  57722.97,           60548.03,     37.98,   -111.48,          52.41,  +0.25,  -3.08
  3,     UK002N,       0,  0.221759, 2459521.506404338870, 127.31280,   8.57715,               89.83907,  10.89367,        89.83658,       10.89282,    127.31280,      +8.57715,     127.31618,       +8.57804,  2597472.34,  3143918.99,  5020825.78,      51.100272,       +5.652340,  103094.60,  461480.96,    7331.40,            13643.94,     1.40,  60900.78,           60548.03,      6.72,    -19.75,           9.32,  +0.03,  -3.29
  4,     UK002N,       0,  0.261915, 2459521.506404803600, 127.40339,   8.41160,               89.87506,  10.70878,        89.89937,       10.71711,    127.40339,      +8.41160,     127.38046,       +8.40294,  2598172.36,  3142157.33,  5019128.88,      51.097123,       +5.628821,  101201.27,  459413.77,    9875.60,            16188.14,   101.75,  63357.85,           61051.17,    -65.18,    192.07,          91.07,  -0.23,  -3.54
  5,     UK002N,       0,  0.302063, 2459521.506405268330, 127.47391,   8.25548,               89.92052,  10.54372,        89.95684,       10.55615,    127.47391,      +8.25548,     127.43928,       +8.24254,  2598808.21,  3140557.14,  5017587.52,      51.094257,       +5.607433,   99481.85,  457539.25,   12186.58,            18499.13,   -30.62,  57561.71,           60696.48,    -96.91,    285.92,         136.10,  -0.12,  -3.42
  6,     UK002N,       0,  0.342223, 2459521.506405733060, 127.48559,   8.06956,               90.03093,  10.39235,        90.01696,       10.38755,    127.48559,      +8.06956,     127.50084,       +8.07452,  2599468.63,  3138895.13,  5015986.61,      51.091275,       +5.585216,   97696.37,  455597.07,   14586.87,            20899.41,   -74.43,  59768.07,           60470.31,     37.33,   -109.57,          52.41,  +0.27,  -3.02
  7,     UK002N,       0,  0.382387, 2459521.506406198256, 127.56878,   7.89652,               90.07717,  10.20618,        90.08107,       10.20752,    127.56878,      +7.89652,     127.56651,       +7.89513,  2600167.54,  3137136.26,  5014292.40,      51.088112,       +5.561704,   95807.26,  453547.24,   17127.03,            23439.58,    21.40,  63244.78,           60607.35,    -10.37,     30.48,          14.64,  +3.26,  -0.02

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.