Orbital Analysis for matched events on 20210813_232308.537_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 296.47° Bg 66.72° Vg 25.92km/s
mass 0.65871g, abs. mag -4.0
Path Details
------------
start -5.09° 47.93° 94.35km
end   -5.03° 47.93° 77.14km

Orbit Details
-------------
Semimajor axis -21.06A.U., eccentricity 1.05, inclination 35.26°, Period 1000000000.00Y, LA Sun 141.12°, 

Full details below
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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459440.474404367153
Time: 2021-08-13 23:23:08.537322 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK002D
 Convergence angle = 11.96841 deg
 R.A. = 285.39280  Dec = +44.84463 deg

Best intersection: Stations UK0021 and UK002D with Qconv = 11.97 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2693267.10 +/- 527.14 m
 Y =  -3409469.16 +/- 2590.30 m
 Z =   4781606.98 +/- 1161.58 m
 Vx =     5306.84 +/- 1869.55 m/s
 Vy =   -19275.82 +/- 2707.70 m/s
 Vz =    19884.86 +/- 7023.48 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.292164e+05, -4.048609e+05, -1.698721e+05, +3.562925e+05, -1.199145e+06, -6.336111e+05
-4.048609e+05, +1.332830e+06, +5.390655e+05, -1.087016e+06, +3.799208e+06, +1.995564e+06
-1.698721e+05, +5.390655e+05, +2.338974e+05, -4.695989e+05, +1.596273e+06, +8.414966e+05
+3.562925e+05, -1.087016e+06, -4.695989e+05, +1.137438e+06, -3.699008e+06, -1.920634e+06
-1.199145e+06, +3.799208e+06, +1.596273e+06, -3.699008e+06, +1.241773e+07, +6.428969e+06
-6.336111e+05, +1.995564e+06, +8.414966e+05, -1.920634e+06, +6.428969e+06, +3.358876e+06

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK002D: -0.157534 s

Reference point on the trajectory:
  Time: 2021-08-13 23:23:08.537322 UTC
  Lon     = +-5.089512 +/- 0.0161 deg
  Lat     = +47.928214 +/- 0.0223 deg
  Lat geo = +47.739527 +/- 0.0223 deg
  Ht      =   94350.78 +/- 722.83 m

  JD dynamic   = 2459440.475205108058 
  LST apparent = 308.3065259538 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 285.39280 +/- 1.2781 deg
  Dec       = +44.84463 +/- 14.3738 deg
  Azimuth   = 267.45652 +/- 34.4196 deg
  Elevation = +73.95895 +/- 6.5995 deg
  Vavg      =  28.23133 +/- 3.4408 km/s
  Vinit     =  28.19801 +/- 3.3569 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 286.23427 +/- 1.2781 deg
  Dec       = +45.01885 +/- 14.3738 deg
  Azimuth   = 267.34875 +/- 34.4196 deg
  Elevation = +74.57893 +/- 6.5995 deg
  Vavg      =  28.14551 +/- 3.4408 km/s
  Vinit     =  28.11219 +/- 3.3569 km/s
Radiant (geocentric, J2000):
  R.A.   = 284.32510 +/- 1.4572 deg
  Dec    = +44.59464 +/- 14.8664 deg
  Vg     =  25.91796 +/- 3.5680 km/s
  Vinf   =  28.19801 +/- 3.3569 km/s
  Zc     =  16.03375 +/- 6.5887 deg
  Zg     =  16.71373 +/- 6.7350 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 296.47474 +/- 53.7553 deg
  Bg     = +66.72060 +/- 11.3410 deg
  Vh     =  42.34981 +/- 5.5641 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 247.08034 +/- 7.7194 deg
  Bh     = +34.20668 +/- 4.7255 deg
  Vh_x   =  13.63972 +/- 1.5443 km/s
  Vh_y   =  32.25886 +/- 7.9088 km/s
  Vh_z   = -23.80821 +/- 0.2339 km/s
Orbit:
  La Sun = 141.124232 +/- -0.0000 deg
  a      = -21.061463 +/- 7.6024 AU
  e      =   1.045667 +/- 0.5428
  i      =  35.259921 +/- 4.0836 deg
  peri   = 205.695737 +/- 11.5177 deg
  node   = 141.129650 +/- 0.0008 deg
  Pi     = 346.825387 +/- 11.5184 deg
  q      =   0.961824 +/- 0.0311 AU
  f      = 334.297963 +/- 11.5183 deg
  M      =        nan +/- nan deg
  Q      = -43.084751 +/- 15.1942 AU
  n      =   0.010197 +/- 0.6329 deg/day
  T      = 1000000000.000000 +/- 399999997.0156 years
  Last perihelion JD = NaN 
  Tj     =   0.757040 +/- 2.9241
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.769577e-02, -2.321955e-03, -3.765034e+02, +1.135747e-06, +3.001534e-02, -7.316999e-03
q   , -2.321955e-03, +2.063337e-04, +3.334112e+01, -9.599370e-08, -2.446393e-03, +6.136381e-04
Tp  , -3.765034e+02, +3.334112e+01, +5.964978e+06, -1.551662e-02, -3.892814e+02, +9.888061e+01
node, +1.135747e-06, -9.599370e-08, -1.551662e-02, +4.692788e-11, +1.228501e-06, -3.019083e-07
peri, +3.001534e-02, -2.446393e-03, -3.892814e+02, +1.228501e-06, +3.383826e-02, -7.961322e-03
i   , -7.316999e-03, +6.136381e-04, +9.888061e+01, -3.019083e-07, -7.961322e-03, +1.944836e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 10.113994
 a2 = 2.717369

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 5.494e-05 s
  Stddev    = 7.41e-03 s

Begin point on the trajectory:
  Lon =    -5.089512 +/- 0.0164 deg
  Lat =    47.928214 +/- 0.0225 deg
  Ht  = 94350.78 +/- 751.47 m
End point on the trajectory:
  Lon =    -5.026835 +/- 0.0123 deg
  Lat =    47.930147 +/- 0.0192 deg
  Ht  = 77141.76 +/- 544.67 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,   0.000002,  27.982729,    94350.78,    77141.76,          0.021480,    127.71,      7.69,              67.18, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210813_232300_183_0281600.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,  29.069322,   0.000000,    88941.80,    77925.12,          0.031781,    249.81,     41.07,              67.90, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_232305_449_0289280.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,       0,  0.000000, 2459440.474404367153, 287.83944, -22.29816,              201.01205,  14.45979,       201.01997,       14.45757,    287.83944,     -22.29816,     287.83082,      -22.29842,  2693267.10, -3409469.16,  4781606.98,      47.928214,       -5.089512,   94350.78,  343558.28,       0.00,                0.00,    31.48,      0.00,           28645.27,     -2.88,     47.76,          28.73,  +4.03,  +1.35
  1,     UK0021,       0,  0.040116, 2459440.474404831417, 287.88433, -22.46947,              200.92714,  14.30388,       200.97256,       14.29119,    287.88433,     -22.46947,     287.83496,      -22.47099,  2693055.62, -3408701.03,  4780814.59,      47.928336,       -5.085588,   93270.87,  343128.15,    1123.67,             1123.67,    23.96,  28010.54,           28645.27,    -16.42,    273.80,         164.88,  +3.94,  +1.26
  2,     UK0021,       0,  0.080256, 2459440.474405296147, 287.85864, -22.64072,              200.90761,  14.13203,       200.92586,       14.12693,    287.85864,     -22.64072,     287.83903,      -22.64133,  2692847.40, -3407944.70,  4780034.36,      47.928456,       -5.081726,   92207.55,  342707.74,    2230.08,             2230.08,    -1.50,  27563.72,           28645.27,     -6.63,    109.98,          66.31,  +2.50,  -0.17
  3,     UK0021,       0,  0.120396, 2459440.474405760411, 287.87318, -22.83079,              200.84625,  13.95103,       200.87352,       13.94341,    287.87318,     -22.83079,     287.84381,      -22.83170,  2692615.32, -3407101.73,  4779164.75,      47.928590,       -5.077401,   91022.41,  342242.26,    3463.24,             3463.24,    99.80,  30721.50,           28645.27,     -9.88,    164.26,          99.18,  +2.12,  -0.55
  4,     UK0021,       0,  0.160508, 2459440.474406224675, 287.87063, -22.97690,              200.81179,  13.80878,       200.83393,       13.80260,    287.87063,     -22.97690,     287.84702,      -22.97763,  2692437.76, -3406456.79,  4778499.43,      47.928692,       -5.074130,   90115.67,  341889.65,    4406.71,             4406.71,   -87.81,  23520.83,           27792.51,     -8.02,    133.21,          80.51,  +2.17,  -0.50
  5,     UK0021,       0,  0.200640, 2459440.474406689405, 287.87875, -23.15498,              200.75955,  13.63792,       200.78520,       13.63075,    287.87875,     -23.15498,     287.85138,      -23.15584,  2692221.50, -3405671.30,  4777689.13,      47.928817,       -5.070108,   89011.35,  341462.31,    5555.78,             5555.78,   -70.39,  28632.24,           27668.77,     -9.30,    154.35,          93.40,  +1.70,  -0.97
  6,     UK0021,       0,  0.240772, 2459440.474407153670, 287.87866, -23.32948,              200.71581,  13.46868,       200.73764,       13.46258,    287.87866,     -23.32948,     287.85562,      -23.33021,  2692010.41, -3404904.55,  4776898.16,      47.928938,       -5.066185,   87933.38,  341048.46,    6677.42,             6677.42,   -80.39,  27948.85,           27654.59,     -7.91,    131.29,          79.55,  +1.31,  -1.35
  7,     UK0021,       0,  0.280896, 2459440.474407618400, 287.89736, -23.50004,              200.65594,  13.30745,       200.69111,       13.29763,    287.89736,     -23.50004,     287.85973,      -23.50123,  2691803.87, -3404154.34,  4776124.24,      47.929057,       -5.062349,   86878.65,  340646.69,    7774.88,             7774.88,  -114.34,  27351.74,           27623.44,    -12.72,    211.30,         128.17,  +1.55,  -1.11
  8,     UK0021,       0,  0.321052, 2459440.474408083130, 287.87554, -23.69589,              200.62685,  13.11264,       200.63784,       13.10957,    287.87554,     -23.69589,     287.86472,      -23.69625,  2691568.97, -3403301.11,  4775244.05,      47.929191,       -5.057962,   85679.09,  340192.88,    9023.05,             9023.05,     1.50,  31082.92,           27839.71,     -3.99,     66.02,          40.10,  +1.30,  -1.36
  9,     UK0021,       0,  0.361212, 2459440.474408547860, 287.85803, -23.89912,              200.59196,  12.91163,       200.58253,       12.91426,    287.85803,     -23.89912,     287.86998,      -23.89881,  2691325.67, -3402417.39,  4774332.41,      47.929331,       -5.053410,   84436.69,  339726.88,   10315.81,            10315.81,   161.84,  32190.33,           28187.31,      3.43,    -56.57,          34.41,  +1.32,  -1.34
 10,     UK0021,       0,  0.401320, 2459440.474409012124, 287.88889, -24.05426,              200.52516,  12.76802,       200.54046,       12.76375,    287.88889,     -24.05426,     287.87358,      -24.05477,  2691138.70, -3401738.28,  4773631.84,      47.929438,       -5.049949,   83481.90,  339372.58,   11309.27,            11309.27,    24.33,  24769.58,           28221.60,     -5.54,     91.74,          55.86,  +1.65,  -1.00
 11,     UK0021,       0,  0.441436, 2459440.474409476388, 287.87315, -24.20199,              200.50261,  12.62123,       200.50093,       12.62170,    287.87315,     -24.20199,     287.87687,      -24.20194,  2690962.62, -3401098.70,  4772972.06,      47.929539,       -5.046699,   82582.69,  339041.45,   12244.88,            12244.88,  -171.25,  23322.73,           28053.05,      0.61,    -10.11,           6.16,  +1.49,  -1.16
 12,     UK0021,       0,  0.481560, 2459440.474409940653, 287.90407, -24.37943,              200.43043,  12.45596,       200.45268,       12.44975,    287.90407,     -24.37943,     287.88128,      -24.38018,  2690749.88, -3400325.99,  4772174.93,      47.929660,       -5.042736,   81496.32,  338643.55,   13375.26,            13375.26,  -172.29,  28172.17,           27955.10,     -8.05,    133.33,          81.36,  +1.35,  -1.30
 13,     UK0021,       0,  0.521728, 2459440.474410405848, 287.88138, -24.58688,              200.39938,  12.24971,       200.39654,       12.25050,    287.88138,     -24.58688,     287.88673,      -24.58678,  2690503.98, -3399432.80,  4771253.52,      47.929801,       -5.038127,   80240.61,  338187.09,   14681.88,            14681.88,     1.67,  32528.72,           28024.32,      1.03,    -16.99,          10.38,  +1.15,  -1.50
 14,     UK0021,       0,  0.561864, 2459440.474410870112, 287.87401, -24.76609,              200.36151,  12.07423,       200.34827,       12.07793,    287.87401,     -24.76609,     287.89118,      -24.76565,  2690291.57, -3398661.27,  4770457.61,      47.929922,       -5.034167,   79155.90,  337796.88,   15810.53,            15810.53,    -1.43,  28120.82,           28071.73,      4.82,    -79.23,          48.47,  +1.55,  -1.09
 15,     UK0021,       0,  0.601992, 2459440.474411334842, 287.91245, -24.95022,              200.28128,  11.90406,       200.29831,       11.89931,    287.91245,     -24.95022,     287.89587,      -24.95079,  2690072.23, -3397864.58,  4769635.75,      47.930047,       -5.030071,   78035.85,  337397.28,   16975.98,            16975.98,    32.49,  29043.14,           28124.87,     -6.16,    101.83,          62.37,  -0.00,  -2.64
 16,     UK0021,       0,  0.642112, 2459440.474411799107, 287.88112, -25.09928,              200.27252,  11.75256,       200.25881,       11.75638,    287.88112,     -25.09928,     287.89921,      -25.09882,  2689897.16, -3397228.66,  4768979.74,      47.930147,       -5.026835,   77141.76,  337081.65,   17906.24,            17906.24,  -168.55,  23187.09,           28064.55,      4.99,    -81.98,          50.26,  +1.62,  -1.02
 17,     UK0021,       1,  0.682248, 2459440.474412263371, 287.80780, -25.24683,              200.30168,  11.59332,       200.22010,       11.61605,    287.80780,     -25.24683,     287.90246,      -25.24416,  2689725.58, -3396605.45,  4768336.83,      47.930244,       -5.023665,   76265.52,  336774.59,   18817.93,            18817.93,  -388.62,  22714.92,           27928.37,     29.97,   -487.43,         299.10,  +4.58,  +1.94
  0,     UK002D,       0,  0.207193, 2459440.474406765308, 275.72427, -23.13734,              213.07344,   9.12001,       213.05294,        9.12521,    275.72427,     -23.13734,     275.74768,      -23.14001,  2692207.89, -3405621.83,  4777638.10,      47.928824,       -5.069872,   88941.80,  459544.22,       0.00,             5628.13,  -182.81,      0.00,           30646.51,     27.28,    165.37,          75.23,  +1.53,  -1.78
  1,     UK002D,       0,  0.247317, 2459440.474407229573, 275.73944, -23.28391,              213.00535,   8.98904,       213.01811,        8.98580,    275.73944,     -23.28391,     275.72642,      -23.28225,  2691974.99, -3404775.88,  4776765.42,      47.928958,       -5.065526,   87752.48,  459099.45,    1237.52,             6865.65,   -76.71,  30842.28,           30646.51,    -16.94,   -102.87,          46.84,  +1.61,  -1.70
  2,     UK002D,       0,  0.287453, 2459440.474407694302, 275.70663, -23.44318,              212.97394,   8.82994,       212.97871,        8.82873,    275.70663,     -23.44318,     275.70257,      -23.44255,  2691713.10, -3403824.64,  4775784.12,      47.929109,       -5.060617,   86415.14,  458601.99,    2629.06,             8257.20,   183.08,  34670.82,           30646.51,     -6.34,    -38.46,          17.53,  +1.24,  -2.07
  3,     UK002D,       0,  0.327553, 2459440.474408158101, 275.68602, -23.55882,              212.94835,   8.71553,       212.95060,        8.71496,    275.68602,     -23.55882,     275.68491,      -23.55853,  2691523.83, -3403137.18,  4775074.94,      47.929217,       -5.057114,   85448.62,  458246.48,    3634.73,             9262.86,    58.01,  25078.96,           30646.51,     -2.98,    -18.10,           8.26,  +1.92,  -1.39
  4,     UK002D,       0,  0.367637, 2459440.474408622365, 275.65787, -23.65518,              212.93646,   8.61647,       212.92708,        8.61885,    275.65787,     -23.65518,     275.66977,      -23.65641,  2691364.23, -3402557.45,  4774476.90,      47.929309,       -5.054185,   84633.55,  457949.15,    4482.79,            10110.92,  -224.22,  21157.04,           28328.08,     12.45,     75.52,          34.47,  +2.21,  -1.09
  5,     UK002D,       0,  0.407757, 2459440.474409086630, 275.67282, -23.79885,              212.86976,   8.48810,       212.89307,        8.48219,    275.67282,     -23.79885,     275.64873,      -23.79580,  2691137.53, -3401734.01,  4773627.44,      47.929439,       -5.049953,   83475.88,  457526.55,    5687.38,            11315.51,  -150.94,  30024.59,           27907.62,    -30.87,   -187.49,          85.66,  +1.19,  -2.11
  6,     UK002D,       0,  0.447893, 2459440.474409550894, 275.68032, -23.95793,              212.80377,   8.34287,       212.85502,        8.32986,    275.68032,     -23.95793,     275.62538,      -23.95123,  2690885.29, -3400817.81,  4772682.29,      47.929583,       -5.045224,   82187.81,  457058.89,    7027.66,            12655.80,    57.59,  33393.62,           28345.61,    -67.74,   -412.09,         188.47,  +1.61,  -1.69
  7,     UK002D,       0,  0.488021, 2459440.474410015624, 275.57699, -24.10205,              212.83836,   8.17404,       212.81747,        8.17934,    275.57699,     -24.10205,     275.60222,      -24.10480,  2690636.56, -3399914.37,  4771750.30,      47.929725,       -5.040562,   80917.69,  456601.19,    8349.27,            13977.41,   247.68,  32934.87,           28910.68,     27.71,    167.86,          76.86,  +2.25,  -1.05
  8,     UK002D,       0,  0.528093, 2459440.474410479423, 275.61141, -24.19028,              212.77585,   8.10375,       212.79789,        8.09816,    275.61141,     -24.19028,     275.58912,      -24.18738,  2690502.75, -3399428.34,  4771248.92,      47.929801,       -5.038130,   80234.31,  456359.21,    9060.27,            14688.40,  -171.28,  17743.02,           28430.64,    -29.16,   -177.04,          81.10,  +1.37,  -1.93
  9,     UK002D,       0,  0.608333, 2459440.474411407951, 275.62173, -24.47676,              212.65986,   7.84114,       212.72971,        7.82340,    275.62173,     -24.47676,     275.54643,      -24.46759,  2690050.55, -3397785.83,  4769554.51,      47.930059,       -5.029676,   77925.12,  455540.07,   11463.05,            17091.18,   -31.11,  29944.87,           28345.77,    -92.07,   -560.48,         257.18,  -1.33,  -4.62

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.