Orbital Analysis for matched events on 20210813_005229.063_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 295.91° Bg 71.07° Vg 23.47km/s
mass 0.23270g, abs. mag -0.9
Path Details
------------
start -2.01° 54.18° 91.92km
end   -1.90° 54.17° 77.84km

Orbit Details
-------------
Semimajor axis 6.04A.U., eccentricity 0.84, inclination 34.31°, Period 14.83Y, LA Sun 140.22°, last Perihelion 2006-10-29

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: 2459439.536447488703
Time: 2021-08-13 00:52:29.063024 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 41.44111 deg
 R.A. = 286.92991  Dec = +49.45138 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 41.44 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3374832.42 +/- 207.43 m
 Y =  -1734716.31 +/- 386.68 m
 Z =   5223182.78 +/- 473.88 m
 Vx =     4256.03 +/- 1095.44 m/s
 Vy =   -16321.64 +/- 683.97 m/s
 Vz =    19749.39 +/- 1169.28 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.130543e+04, +7.687149e+04, -9.535709e+04, +1.125774e+05, +1.638985e+05, -2.024260e+05
+7.687149e+04, +1.490394e+05, -1.803315e+05, +2.066575e+05, +3.050173e+05, -3.651871e+05
-9.535709e+04, -1.803315e+05, +2.246712e+05, -2.541445e+05, -3.722767e+05, +4.593153e+05
+1.125774e+05, +2.066575e+05, -2.541445e+05, +3.382901e+05, +4.437003e+05, -5.466992e+05
+1.638985e+05, +3.050173e+05, -3.722767e+05, +4.437003e+05, +7.839439e+05, -9.590157e+05
-2.024260e+05, -3.651871e+05, +4.593153e+05, -5.466992e+05, -9.590157e+05, +1.206587e+06

Timing offsets (from input data):
    UK001L: -0.001638 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:52:29.063024 UTC
  Lon     = +-2.010952 +/- 0.0066 deg
  Lat     = +54.182353 +/- 0.0025 deg
  Lat geo = +54.002139 +/- 0.0025 deg
  Ht      =   91866.69 +/- 380.39 m

  JD dynamic   = 2459439.537248229608 
  LST apparent = 332.7961316836 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 284.61500 +/- 2.9220 deg
  Dec       = +49.50025 +/- 0.5393 deg
  Azimuth   = 280.97433 +/- 2.8975 deg
  Elevation = +60.46080 +/- 1.4713 deg
  Vavg      =  25.58791 +/- 0.7991 km/s
  Vinit     =  25.97206 +/- 1.3260 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 285.24945 +/- 2.9220 deg
  Dec       = +49.84624 +/- 0.5393 deg
  Azimuth   = 281.21514 +/- 2.8975 deg
  Elevation = +60.98464 +/- 1.4713 deg
  Vavg      =  25.45511 +/- 0.7991 km/s
  Vinit     =  25.83927 +/- 1.3260 km/s
Radiant (geocentric, J2000):
  R.A.   = 282.41462 +/- 2.8425 deg
  Dec    = +48.75192 +/- 0.6016 deg
  Vg     =  23.47488 +/- 1.4925 km/s
  Vinf   =  25.97206 +/- 1.3260 km/s
  Zc     =  29.57399 +/- 1.4800 deg
  Zg     =  31.10152 +/- 1.4067 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 295.91439 +/- 4.7279 deg
  Bg     = +71.07466 +/- 1.1308 deg
  Vh     =  40.05196 +/- 1.2602 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 242.78565 +/- 0.6892 deg
  Bh     = +33.67198 +/- 1.5421 deg
  Vh_x   =  15.24353 +/- 0.5441 km/s
  Vh_y   =  29.64244 +/- 0.4196 km/s
  Vh_z   = -22.20631 +/- 1.5268 km/s
Orbit:
  La Sun = 140.223497 +/- -0.0000 deg
  a      =   6.037409 +/- 1.6824 AU
  e      =   0.838208 +/- 0.1033
  i      =  34.314875 +/- 1.5483 deg
  peri   = 202.895896 +/- 3.7042 deg
  node   = 140.229649 +/- 0.0003 deg
  Pi     = 343.125545 +/- 3.7045 deg
  q      =   0.976804 +/- 0.0086 AU
  f      = 337.097808 +/- 3.7044 deg
  M      = 358.873330 +/- 2.4912 deg
  Q      =  11.098013 +/- 3.3573 AU
  n      =   0.066440 +/- 0.0882 deg/day
  T      =  14.834622 +/- 5.3854 years
  Last perihelion JD = 2454038.054954 (2006-10-29 13:19:08.006634) +/- 1969.9750 days
  Tj     =   1.832303 +/- 0.5517
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.057958e-02, +7.776875e-04, -2.162009e+02, -5.317455e-07, -6.141847e-03, +2.504476e-03
q   , +7.776875e-04, +6.477177e-05, -1.594751e+01, -3.697442e-08, -4.895693e-04, +1.739567e-04
Tp  , -2.162009e+02, -1.594751e+01, +5.075766e+06, +1.030641e-02, +1.240062e+02, -4.913110e+01
node, -5.317455e-07, -3.697442e-08, +1.030641e-02, +2.874877e-11, +3.003427e-07, -1.348505e-07
peri, -6.141847e-03, -4.895693e-04, +1.240062e+02, +3.003427e-07, +3.763088e-03, -1.411523e-03
i   , +2.504476e-03, +1.739567e-04, -4.913110e+01, -1.348505e-07, -1.411523e-03, +6.332509e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 7.919521
 a2 = 5.370618

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 2.817e-05 s
  Stddev    = 5.31e-03 s

Begin point on the trajectory:
  Lon =    -2.011383 +/- 0.0066 deg
  Lat =    54.182402 +/- 0.0025 deg
  Ht  = 91918.11 +/- 373.73 m
End point on the trajectory:
  Lon =    -1.895548 +/- 0.0044 deg
  Lat =    54.168860 +/- 0.0018 deg
  Ht  = 77837.97 +/- 232.94 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,  20.896187,   2.870663,    87627.87,    79472.35,          0.036751,    174.56,     12.95,              63.15, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210813_005220_756_0397312.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.004871,  17.596436,    91918.11,    77837.97,          0.016875,     41.69,     16.07,              30.73, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_005222_762_0414720.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,     UK001L,       0,  0.187096, 2459439.536449636333, 169.66278,  54.63578,              350.28223,  17.36455,       350.28737,       17.36753,    169.66278,     +54.63578,     169.65614,      +54.63959,  3374033.96, -1731654.26,  5219477.66,      54.178295,       -1.976098,   87627.87,  275394.70,       0.00,             4872.54,    94.02,      0.00,           26457.42,     -2.03,    -27.51,          20.66,  +3.67,  +1.47
  1,     UK001L,       0,  0.227160, 2459439.536450100131, 169.42928,  54.56487,              350.40836,  17.27061,       350.36304,       17.24439,    169.42928,     +54.56487,     169.49562,      +54.53137,  3373906.44, -1731165.23,  5218885.92,      54.177646,       -1.970571,   86950.93,  275038.22,     778.18,             5650.72,  -168.35,  19423.47,           26457.42,     17.78,    242.28,         182.19,  +4.20,  +2.00
  2,     UK001L,       0,  0.267372, 2459439.536450565793, 169.28432,  54.31993,              350.44996,  17.01464,       350.49101,       17.03835,    169.28432,     +54.31993,     169.22627,      +54.35016,  3373693.78, -1730349.71,  5217899.13,      54.176561,       -1.961242,   85822.14,  274446.36,    2075.89,             6948.43,    84.98,  32271.72,           26457.42,    -16.27,   -219.07,         165.10,  +2.42,  +0.23
  3,     UK001L,       0,  0.307452, 2459439.536451029591, 168.96323,  54.23046,              350.62671,  16.89395,       350.59232,       16.87406,    168.96323,     +54.23046,     169.01411,      +54.20520,  3373524.95, -1729702.24,  5217115.70,      54.175700,       -1.953867,   84925.97,  273980.26,    3106.18,             7978.71,    74.30,  25705.71,           26457.42,     13.48,    183.40,         138.44,  +1.73,  -0.46
  4,     UK001L,       0,  0.347604, 2459439.536451494321, 168.76898,  54.05644,              350.71277,  16.70305,       350.70167,       16.69664,    168.76898,     +54.05644,     168.78641,      +54.04832,  3373343.31, -1729005.66,  5216272.82,      54.174772,       -1.945918,   83961.85,  273482.05,    4214.63,             9087.17,   139.92,  27606.41,           26806.25,      4.36,     59.08,          44.68,  +2.17,  -0.01
  5,     UK001L,       0,  0.387708, 2459439.536451958586, 168.68108,  53.93617,              350.74468,  16.57577,       350.76710,       16.58872,    168.68108,     +53.93617,     168.65042,      +53.95255,  3373233.22, -1728583.50,  5215762.00,      54.174210,       -1.941166,   83377.51,  273182.52,    4886.40,             9758.93,  -229.90,  16750.58,           25470.36,     -8.84,   -119.27,          90.30,  +2.01,  -0.17
  6,     UK001L,       0,  0.427816, 2459439.536452422850, 168.45548,  53.81547,              350.86038,  16.43451,       350.86120,       16.43499,    168.45548,     +53.81547,     168.45608,      +53.81607,  3373076.81, -1727983.65,  5215036.18,      54.173410,       -1.934341,   82547.29,  272758.43,    5840.92,            10713.45,  -317.06,  23798.78,           24814.16,     -0.32,     -4.36,           3.30,  +3.21,  +1.03
  7,     UK001L,       0,  0.467928, 2459439.536452887114, 168.24929,  53.68536,              350.96334,  16.28608,       350.95508,       16.28131,    168.24929,     +53.68536,     168.26314,      +53.67935,  3372920.97, -1727386.03,  5214313.05,      54.172612,       -1.927541,   81720.18,  272338.54,    6791.89,            11664.42,  -407.88,  23707.86,           24448.52,      3.24,     43.87,          33.32,  +1.44,  -0.74
  8,     UK001L,       0,  0.508120, 2459439.536453352310, 167.95474,  53.46309,              351.10554,  16.03841,       351.10480,       16.03798,    167.95474,     +53.46309,     167.95793,      +53.46255,  3372675.21, -1726443.56,  5213172.65,      54.171353,       -1.916718,   80415.94,  271680.77,    8291.61,            13164.15,    47.97,  37314.03,           25137.13,      0.29,      3.94,           3.00,  +0.44,  -1.73
  9,     UK001L,       0,  0.548304, 2459439.536453817040, 167.83989,  53.25274,              351.14099,  15.81982,       351.21267,       15.86111,    167.83989,     +53.25274,     167.73924,      +53.30443,  3372497.42, -1725761.72,  5212347.61,      54.170441,       -1.908931,   79472.35,  271209.49,    9376.60,            14249.14,    89.30,  27000.52,           25589.43,    -28.34,   -379.40,         289.35,  +4.84,  +2.67
  0,     UK002Z,       0,  0.000000, 2459439.536447488703, 241.41091,  47.22757,              304.43545,  34.69090,       304.46222,       34.70023,    241.41091,     +47.22757,     241.39840,      +47.24992,  3374842.10, -1734753.46,  5223227.72,      54.182402,       -2.011383,   91918.11,  159092.21,       0.00,               59.11,   139.87,      0.00,           25854.30,    -23.88,    -61.94,          86.06,  +3.99,  +2.98
  1,     UK002Z,       0,  0.040080, 2459439.536447952501, 241.17108,  47.19993,              304.54838,  34.55427,       304.53607,       34.54997,    241.17108,     +47.19993,     241.17703,      +47.18964,  3374688.76, -1734165.38,  5222516.14,      54.181624,       -2.004711,   91103.98,  158277.18,     935.79,              876.68,   -83.52,  23348.04,           25854.30,     10.94,     28.40,          39.66,  +2.53,  +1.53
  2,     UK002Z,       0,  0.080184, 2459439.536448416766, 240.94986,  47.13912,              304.62196,  34.40382,       304.60968,       34.39953,    240.94986,     +47.13912,     240.95601,      +47.12886,  3374536.86, -1733582.87,  5221811.30,      54.180853,       -1.998103,   90297.58,  157471.21,    1862.71,             1803.61,  -198.18,  23112.97,           25854.30,     10.86,     28.21,          39.59,  +2.96,  +1.97
  3,     UK002Z,       0,  0.120324, 2459439.536448881496, 240.63893,  47.05655,              304.72855,  34.19438,       304.71356,       34.18915,    240.63893,     +47.05655,     240.64661,      +47.04401,  3374326.33, -1732775.50,  5220834.38,      54.179783,       -1.988876,   89179.95,  156353.32,    3147.45,             3088.34,    44.04,  32006.38,           25854.30,     13.20,     34.27,          48.45,  +2.02,  +1.05
  4,     UK002Z,       0,  0.160452, 2459439.536449345760, 240.40733,  46.96973,              304.78659,  34.02070,       304.79421,       34.02335,    240.40733,     +46.96973,     240.40432,      +46.97610,  3374163.01, -1732149.17,  5220076.51,      54.178952,       -1.981754,   88312.94,  155489.48,    4144.10,             4085.00,    -1.51,  24836.91,           26174.94,     -6.69,    -17.35,          24.67,  +2.19,  +1.23
  5,     UK002Z,       0,  0.200568, 2459439.536449810024, 240.16658,  46.89709,              304.86268,  33.85242,       304.87491,       33.85668,    240.16658,     +46.89709,     240.16145,      +46.90732,  3374000.69, -1731526.70,  5219323.30,      54.178126,       -1.974675,   87451.28,  154632.51,    5134.63,             5075.52,   -52.88,  24691.56,           26054.58,    -10.70,    -27.75,          39.67,  +1.79,  +0.84
  6,     UK002Z,       0,  0.240672, 2459439.536450274289, 239.87749,  46.85096,              304.98987,  33.67921,       304.96503,       33.67054,    239.87749,     +46.85096,     239.89069,      +46.83016,  3373821.37, -1730839.01,  5218491.19,      54.177212,       -1.966835,   86499.40,  153686.75,    6228.92,             6169.82,    -0.17,  27286.39,           26143.54,     21.61,     56.10,          80.68,  +1.80,  +0.87
  7,     UK002Z,       0,  0.280784, 2459439.536450738553, 239.61632,  46.78919,              305.08799,  33.50869,       305.04929,       33.49518,    239.61632,     +46.78919,     239.63666,      +46.75676,  3373654.62, -1730199.53,  5217717.42,      54.176362,       -1.959555,   85614.26,  152809.52,    7246.50,             7187.40,   -24.38,  25368.44,           26116.03,     33.53,     87.07,         125.94,  +1.79,  +0.87
  8,     UK002Z,       0,  0.320916, 2459439.536451202817, 239.41136,  46.68362,              305.11687,  33.33463,       305.12444,       33.33727,    239.41136,     +46.68362,     239.40892,      +46.68995,  3373506.32, -1729630.80,  5217029.25,      54.175605,       -1.953097,   84827.06,  152031.58,    8151.50,             8092.39,  -161.70,  22550.46,           25865.38,     -6.54,    -16.95,          24.65,  +1.40,  +0.49
  9,     UK002Z,       0,  0.361072, 2459439.536451667547, 239.09840,  46.58505,              305.21505,  33.11293,       305.22968,       33.11802,    239.09840,     +46.58505,     239.09251,      +46.59731,  3373302.30, -1728848.39,  5216082.52,      54.174563,       -1.944148,   83744.17,  150960.72,    9396.53,             9337.42,    40.40,  31004.86,           26018.41,    -12.59,    -32.63,          47.79,  +1.31,  +0.42
 10,     UK002Z,       0,  0.401156, 2459439.536452131812, 238.88291,  46.54196,              305.30398,  32.97784,       305.29656,       32.97526,    238.88291,     +46.54196,     238.88835,      +46.53575,  3373171.67, -1728347.45,  5215476.38,      54.173895,       -1.938477,   83050.81,  150279.17,   10193.66,            10134.55,  -203.54,  19886.40,           25823.38,      6.36,     16.49,          24.25,  +1.62,  +0.74
 11,     UK002Z,       0,  0.441292, 2459439.536452596076, 238.58556,  46.45933,              305.40775,  32.77504,       305.39382,       32.77020,    238.58556,     +46.45933,     238.59455,      +46.44765,  3372985.40, -1727633.10,  5214612.00,      54.172942,       -1.930317,   82062.16,  149305.91,   11330.38,            11271.28,  -109.23,  28321.90,           25807.00,     11.88,     30.82,          45.63,  +1.32,  +0.45
 12,     UK002Z,       0,  0.481424, 2459439.536453060806, 238.32100,  46.37106,              305.48838,  32.58411,       305.48229,       32.58200,    238.32100,     +46.37106,     238.32616,      +46.36595,  3372816.77, -1726986.42,  5213829.51,      54.172078,       -1.922944,   81167.18,  148427.51,   12359.42,            12300.31,  -122.50,  25641.24,           25791.63,      5.17,     13.42,          19.98,  +1.16,  +0.30
 13,     UK002Z,       0,  0.521568, 2459439.536453525536, 238.02430,  46.27693,              305.58363,  32.37343,       305.58072,       32.37242,    238.02430,     +46.27693,     238.02799,      +46.27449,  3372631.20, -1726274.76,  5212968.40,      54.171127,       -1.914811,   80182.32,  147462.24,   13491.85,            13432.75,   -32.69,  28209.38,           25851.09,      2.46,      6.37,           9.55,  +1.26,  +0.42
 14,     UK002Z,       0,  0.561688, 2459439.536453989800, 237.75347,  46.20654,              305.68405,  32.19225,       305.66721,       32.18640,    237.75347,     +46.20654,     237.76468,      +46.19241,  3372468.75, -1725651.78,  5212214.59,      54.170294,       -1.907711,   79320.18,  146620.08,   14483.18,            14424.07,   -83.36,  24708.94,           25861.18,     14.18,     36.79,          55.47,  +1.35,  +0.52
 15,     UK002Z,       0,  0.601820, 2459439.536454454064, 237.46662,  46.12174,              305.78259,  31.99301,       305.76052,       31.98535,    237.46662,     +46.12174,     237.48085,      +46.10321,  3372295.20, -1724986.22,  5211409.24,      54.169403,       -1.900112,   78399.15,  145721.81,   15542.27,            15483.16,   -66.58,  26390.21,           25879.61,     18.51,     48.00,          72.82,  +0.93,  +0.11
 16,     UK002Z,       0,  0.641932, 2459439.536454918329, 237.32117,  46.02028,              305.78502,  31.84993,       305.81658,       31.86085,    237.32117,     +46.02028,     237.30698,      +46.04675,  3372189.47, -1724580.75,  5210918.62,      54.168860,       -1.895548,   77837.97,  145178.54,   16187.48,            16128.37,  -463.17,  16085.11,           25700.25,    -26.43,    -68.43,         104.22,  +1.72,  +0.91
 17,     UK002Z,       1,  0.682048, 2459439.536455382593, 237.14331,  45.93036,              305.81641,  31.69943,       305.87968,       31.72127,    237.14331,     +45.93036,     237.11210,      +45.98341,  3372071.69, -1724129.10,  5210372.12,      54.168255,       -1.890443,   77212.90,  144573.46,   16906.17,            16847.06,  -786.37,  17915.37,           25437.84,    -52.85,   -136.72,         209.13,  +2.92,  +2.12

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.