Orbital Analysis for matched events on 20210816_214250.352_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 309.69° Bg 76.02° Vg 25.00km/s
mass 0.40769g, abs. mag -1.3
Path Details
------------
start -3.34° 53.61° 95.52km
end   -3.33° 53.61° 81.13km

Orbit Details
-------------
Semimajor axis 5.18A.U., eccentricity 0.81, inclination 38.14°, Period 11.81Y, LA Sun 143.94°, last Perihelion 2009-11-10

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: 2459443.404749445617
Time: 2021-08-16 21:42:50.352101 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 53.19296 deg
 R.A. = 285.87456  Dec = +54.91704 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 53.19 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1181155.40 +/- 59.90 m
 Y =  -3662914.67 +/- 36.99 m
 Z =   5188321.25 +/- 64.74 m
 Vx =     4279.00 +/- 247.96 m/s
 Vy =   -15215.94 +/- 17.87 m/s
 Vz =    22325.25 +/- 208.12 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.783245e+03, +1.455215e+03, -1.187826e+03, +1.041124e+04, +5.952440e+03, -8.351812e+03
+1.455215e+03, +1.433864e+03, -1.345994e+03, +5.302456e+03, +4.339405e+03, -5.543673e+03
-1.187826e+03, -1.345994e+03, +4.466814e+03, -6.552753e+03, -4.676827e+02, +7.879176e+03
+1.041124e+04, +5.302456e+03, -6.552753e+03, +4.212001e+04, +1.951592e+04, -3.375063e+04
+5.952440e+03, +4.339405e+03, -4.676827e+02, +1.951592e+04, +2.065188e+04, -1.570637e+04
-8.351812e+03, -5.543673e+03, +7.879176e+03, -3.375063e+04, -1.570637e+04, +3.385045e+04

Timing offsets (from input data):
    UK001L: 0.000524 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 21:42:50.352101 UTC
  Lon     = +-3.335959 +/- 0.0010 deg
  Lat     = +53.613592 +/- 0.0003 deg
  Lat geo = +53.432341 +/- 0.0003 deg
  Ht      =   95562.56 +/- 61.90 m

  JD dynamic   = 2459443.405550186522 
  LST apparent = 287.8726045863 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 285.70697 +/- 0.7803 deg
  Dec       = +54.70171 +/- 0.2333 deg
  Azimuth   = 311.50596 +/- 7.0338 deg
  Elevation = +88.32918 +/- 0.4592 deg
  Vavg      =  26.77212 +/- 0.0904 km/s
  Vinit     =  27.35418 +/- 0.1758 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 286.72414 +/- 0.7803 deg
  Dec       = +54.71559 +/- 0.2333 deg
  Azimuth   = 329.07505 +/- 7.0338 deg
  Elevation = +88.70911 +/- 0.4592 deg
  Vavg      =  26.76744 +/- 0.0904 km/s
  Vinit     =  27.34950 +/- 0.1758 km/s
Radiant (geocentric, J2000):
  R.A.   = 285.49327 +/- 0.8136 deg
  Dec    = +54.72567 +/- 0.2438 deg
  Vg     =  24.99696 +/- 0.1922 km/s
  Vinf   =  27.35418 +/- 0.1758 km/s
  Zc     =   1.79607 +/- 0.4523 deg
  Zg     =   1.87695 +/- 0.4714 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 309.69119 +/- 1.6262 deg
  Bg     = +76.02225 +/- 0.3576 deg
  Vh     =  39.76507 +/- 0.2211 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 245.26831 +/- 0.2970 deg
  Bh     = +37.58981 +/- 0.1763 deg
  Vh_x   =  13.18272 +/- 0.1861 km/s
  Vh_y   =  28.61959 +/- 0.0996 km/s
  Vh_z   = -24.25686 +/- 0.2158 km/s
Orbit:
  La Sun = 143.939751 +/- 0.0000 deg
  a      =   5.184851 +/- 0.7059 AU
  e      =   0.810011 +/- 0.0194
  i      =  38.135602 +/- 0.1553 deg
  peri   = 200.033188 +/- 0.7671 deg
  node   = 143.944461 +/- 0.0000 deg
  Pi     = 343.977648 +/- 0.7671 deg
  q      =   0.985062 +/- 0.0018 AU
  f      = 339.960651 +/- 0.7671 deg
  M      = 358.743582 +/- 0.2206 deg
  Q      =   9.384641 +/- 1.4103 AU
  n      =   0.083483 +/- 0.0122 deg/day
  T      =  11.806063 +/- 2.6124 years
  Last perihelion JD = 2455146.215665 (2009-11-10 17:10:33.472900) +/- 954.7472 days
  Tj     =   1.924512 +/- 0.0995
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.013906e-04, +3.083882e-05, -1.926053e+01, -6.536264e-09, -2.466143e-04, +3.745330e-05
q   , +3.083882e-05, +3.309800e-06, -1.464994e+00, -6.857918e-10, -2.513033e-05, +3.928864e-06
Tp  , -1.926053e+01, -1.464994e+00, +9.564719e+05, +3.357546e-04, +1.173095e+01, -1.925161e+00
node, -6.536264e-09, -6.857918e-10, +3.357546e-04, +2.367065e-13, +5.214728e-09, -1.356491e-09
peri, -2.466143e-04, -2.513033e-05, +1.173095e+01, +5.214728e-09, +1.921917e-04, -2.987618e-05
i   , +3.745330e-05, +3.928864e-06, -1.925161e+00, -1.356491e-09, -2.987618e-05, +7.773729e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.856556
 a2 = 11.071143

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 4.310e-05 s
  Stddev    = 6.57e-03 s

Begin point on the trajectory:
  Lon =    -3.335946 +/- 0.0010 deg
  Lat =    53.613585 +/- 0.0003 deg
  Ht  = 95523.12 +/- 32.61 m
End point on the trajectory:
  Lon =    -3.333535 +/- 0.0010 deg
  Lat =    53.611116 +/- 0.0004 deg
  Ht  = 81128.63 +/- 23.42 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,   2.583437,   9.146199,    92790.53,    81128.63,          0.018203,     80.12,      4.71,              65.74, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210816_214245_424_0147712.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.022216,  17.756344,    95523.12,    82420.63,          0.015421,     56.21,     15.07,              62.18, 1.0000,    True,   False, {"ff_name": "FF_UK002Z_20210816_214250_102_0144640.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,  0.095046, 2459443.404750643298, 163.45531,  48.45499,              325.35273,  20.22014,       325.36160,       20.22019,    163.45531,     +48.45499,     163.44470,      +48.45944,  1180721.60, -3661372.08,  5186057.92,      53.613117,       -3.335490,   92790.53,  255411.89,       0.00,             2773.17,   132.66,      0.00,           26996.06,      2.17,    -37.04,          29.97,  +2.15,  +0.11
  1,     UK001L,       0,  0.135250, 2459443.404751108494, 163.22857,  48.27283,              325.38655,  19.98590,       325.36110,       19.98574,    163.22857,     +48.27283,     163.25915,      +48.26009,  1180543.42, -3660738.47,  5185128.27,      53.612922,       -3.335287,   91651.91,  254957.34,    1139.06,             3912.22,   171.98,  28331.99,           26996.06,     -6.25,    106.25,          86.11,  +1.40,  -0.63
  2,     UK001L,       0,  0.175446, 2459443.404751573689, 163.09548,  48.06401,              325.35004,  19.76161,       325.36052,       19.76168,    163.09548,     +48.06401,     163.08330,      +48.06925,  1180373.74, -3660135.13,  5184243.03,      53.612736,       -3.335102,   90567.67,  254528.77,    2223.70,             4996.87,   157.09,  26983.92,           26996.06,      2.56,    -43.75,          35.52,  +1.46,  -0.57
  3,     UK001L,       0,  0.215634, 2459443.404752038885, 162.90756,  47.89043,              325.36718,  19.54785,       325.35986,       19.54780,    162.90756,     +47.89043,     162.91680,      +47.88678,  1180212.33, -3659561.15,  5183400.88,      53.612560,       -3.334934,   89536.18,  254124.97,    3255.56,             6028.72,    89.63,  25675.61,           26996.06,     -1.79,     30.56,          24.85,  +1.02,  -1.01
  4,     UK001L,       0,  0.255830, 2459443.404752504081, 162.75383,  47.69412,              325.35186,  19.32650,       325.35925,       19.32655,    162.75383,     +47.69412,     162.74570,      +47.69780,  1180045.88, -3658969.25,  5182532.42,      53.612377,       -3.334755,   88472.46,  253712.08,    4319.64,             7092.81,    54.19,  26472.41,           26758.90,      1.81,    -30.82,          25.10,  +1.01,  -1.01
  5,     UK001L,       0,  0.296022, 2459443.404752969276, 162.55472,  47.52085,              325.37777,  19.10868,       325.35861,       19.10856,    162.55472,     +47.52085,     162.57838,      +47.51134,  1179882.41, -3658387.98,  5181679.56,      53.612198,       -3.334582,   87427.82,  253310.41,    5364.62,             8137.78,    -0.25,  25999.60,           26582.67,     -4.70,     79.91,          65.18,  +0.91,  -1.11
  6,     UK001L,       0,  0.336194, 2459443.404753434472, 162.44320,  47.33222,              325.34253,  18.90828,       325.35784,       18.90837,    162.44320,     +47.33222,     162.42600,      +47.33980,  1179732.78, -3657855.89,  5180898.87,      53.612034,       -3.334439,   86471.56,  252946.47,    6321.16,             9094.33,  -142.58,  23811.22,           26222.97,      3.74,    -63.84,          52.15,  +0.88,  -1.14
  7,     UK001L,       0,  0.376382, 2459443.404753899667, 162.22675,  47.17286,              325.38839,  18.69592,       325.35716,       18.69572,    162.22675,     +47.17286,     162.26505,      +47.15742,  1179574.27, -3657292.25,  5180071.88,      53.611860,       -3.334276,   85458.58,  252563.95,    7334.44,            10107.61,  -228.61,  25213.46,           25988.95,     -7.66,    130.18,         106.50,  +1.28,  -0.73
  8,     UK001L,       0,  0.416602, 2459443.404754364863, 162.05501,  46.94977,              325.37305,  18.44443,       325.35674,       18.44433,    162.05501,     +46.94977,     162.07571,      +46.94173,  1179387.44, -3656627.88,  5179097.11,      53.611655,       -3.334055,   84264.59,  252116.44,    8528.79,            11301.96,  -134.45,  29695.46,           26127.01,     -3.99,     67.95,          55.69,  +0.19,  -1.82
  9,     UK001L,       0,  0.456806, 2459443.404754830524, 161.87173,  46.75699,              325.38225,  18.21465,       325.35617,       18.21449,    161.87173,     +46.75699,     161.90418,      +46.74416,  1179217.24, -3656022.64,  5178209.07,      53.611468,       -3.333868,   83176.81,  251713.54,    9616.87,            12390.03,  -146.12,  27063.87,           26248.41,     -6.39,    108.67,          89.20,  +0.95,  -1.05
 10,     UK001L,       0,  0.496978, 2459443.404755295254, 161.75472,  46.57247,              325.35563,  18.01501,       325.35538,       18.01501,    161.75472,     +46.57247,     161.75669,      +46.57234,  1179070.00, -3655499.09,  5177440.90,      53.611307,       -3.333728,   82235.82,  251369.12,   10558.07,            13331.24,  -303.79,  23429.32,           26186.55,     -0.06,      1.05,           0.86,  +1.36,  -0.64
 11,     UK001L,       0,  0.537186, 2459443.404755760450, 161.54479,  46.38481,              325.38591,  17.77989,       325.35484,       17.77969,    161.54479,     +46.38481,     161.58342,      +46.36959,  1178896.76, -3654883.05,  5176537.03,      53.611116,       -3.333535,   81128.63,  250966.67,   11665.54,            14438.71,  -296.17,  27543.59,           26203.07,     -7.60,    129.36,         106.50,  +0.94,  -1.06
  0,     UK002Z,       0,  0.000000, 2459443.404749445617, 213.56681,  21.92624,              273.62850,  24.95463,       273.65702,       24.95407,    213.56681,     +21.92624,     213.54456,      +21.94235,  1181149.23, -3662892.72,  5188289.05,      53.613585,       -3.335946,   95523.12,  219138.31,       0.00,               39.45,    -1.14,      0.00,           26835.08,    -25.62,    -95.54,          93.10,  +3.57,  +1.87
  1,     UK002Z,       0,  0.040212, 2459443.404749911278, 213.37108,  21.74851,              273.65737,  24.70183,       273.65106,       24.70195,    213.37108,     +21.74851,     213.37565,      +21.74495,  1180979.67, -3662289.77,  5187404.39,      53.613399,       -3.335762,   94439.63,  218641.97,    1083.94,             1123.39,   -17.16,  26955.66,           26835.08,      5.67,     21.14,          20.65,  +2.72,  +1.02
  2,     UK002Z,       0,  0.080428, 2459443.404750376474, 213.20748,  21.53323,              273.63507,  24.43903,       273.64486,       24.43884,    213.20748,     +21.53323,     213.19987,      +21.53876,  1180803.50, -3661663.32,  5186485.24,      53.613207,       -3.335564,   93313.89,  218130.37,    2210.14,             2249.59,     8.96,  28003.74,           26835.08,     -8.79,    -32.79,          32.10,  +2.80,  +1.11
  3,     UK002Z,       0,  0.120628, 2459443.404750841670, 213.02753,  21.36292,              273.65763,  24.20105,       273.63929,       24.20141,    213.02753,     +21.36292,     213.04170,      +21.35254,  1180645.31, -3661100.81,  5185659.90,      53.613034,       -3.335402,   92303.03,  217675.95,    3221.39,             3260.84,   -79.43,  25155.48,           26835.08,     16.45,     61.40,          60.23,  +1.98,  +0.29
  4,     UK002Z,       0,  0.160848, 2459443.404751307331, 212.87444,  21.13525,              273.61950,  23.93463,       273.63306,       23.93436,    212.87444,     +21.13525,     212.86425,      +21.14292,  1180468.08, -3660470.57,  5184735.20,      53.612840,       -3.335202,   91170.46,  217170.07,    4354.39,             4393.84,   -46.61,  28170.12,           26973.19,    -12.16,    -45.36,          44.61,  +1.31,  -0.37
  5,     UK002Z,       0,  0.201056, 2459443.404751772527, 212.69990,  20.94605,              273.62556,  23.68503,       273.62725,       23.68499,    212.69990,     +20.94605,     212.69901,      +20.94700,  1180303.37, -3659884.87,  5183875.85,      53.612659,       -3.335027,   90117.91,  216704.88,    5407.32,             5446.77,   -93.54,  26186.94,           26900.33,     -1.51,     -5.65,           5.57,  +1.30,  -0.38
  6,     UK002Z,       0,  0.241300, 2459443.404752238654, 212.48963,  20.72481,              273.63809,  23.38933,       273.62042,       23.38967,    212.48963,     +20.72481,     212.50385,      +20.71479,  1180109.07, -3659193.95,  5182862.11,      53.612446,       -3.334791,   88876.26,  216159.61,    6649.41,             6688.86,    47.71,  30864.07,           27299.37,     15.84,     59.12,          58.41,  +1.06,  -0.61
  7,     UK002Z,       0,  0.281504, 2459443.404752703849, 212.34519,  20.51735,              273.60881,  23.14318,       273.61472,       23.14306,    212.34519,     +20.51735,     212.34137,      +20.52070,  1179947.70, -3658620.13,  5182020.18,      53.612270,       -3.334623,   87845.03,  215712.85,    7680.99,             7720.44,   -20.46,  25658.57,           27328.88,     -5.30,    -19.77,          19.57,  +0.91,  -0.76
  8,     UK002Z,       0,  0.321716, 2459443.404753169045, 212.18347,  20.30787,              273.59228,  22.88506,       273.60879,       22.88474,    212.18347,     +20.30787,     212.17160,      +20.31724,  1179779.34, -3658021.45,  5181141.78,      53.612085,       -3.334440,   86769.11,  215250.55,    8757.25,             8796.70,   -44.17,  26764.68,           27305.05,    -14.80,    -55.19,          54.76,  +0.91,  -0.75
  9,     UK002Z,       0,  0.361968, 2459443.404753635172, 211.99461,  20.05806,              273.57007,  22.57943,       273.60179,       22.57882,    211.99461,     +20.05806,     211.97110,      +20.07607,  1179580.74, -3657315.24,  5180105.61,      53.611867,       -3.334194,   85499.94,  214709.06,   10026.83,            10066.28,   124.35,  31540.74,           27524.18,    -28.44,   -106.02,         105.45,  +0.72,  -0.94
 10,     UK002Z,       0,  0.402160, 2459443.404754100367, 211.81213,  19.89995,              273.60606,  22.34856,       273.59654,       22.34874,    211.81213,     +19.89995,     211.82076,      +19.89454,  1179432.23, -3656787.16,  5179330.80,      53.611704,       -3.334053,   84550.85,  214310.72,   10976.17,            11015.63,   -25.72,  23620.32,           27466.34,      8.53,     31.81,          31.70,  +1.00,  -0.66
 11,     UK002Z,       0,  0.442356, 2459443.404754565563, 211.65296,  19.70998,              273.60225,  22.10669,       273.59104,       22.10690,    211.65296,     +19.70998,     211.66310,      +19.70360,  1179276.69, -3656234.04,  5178519.24,      53.611534,       -3.333896,   83556.75,  213896.72,   11970.54,            12009.99,  -130.88,  24737.91,           27328.10,     10.05,     37.49,          37.42,  +1.01,  -0.64
 12,     UK002Z,       0,  0.482584, 2459443.404755031224, 211.46645,  19.49517,              273.60362,  21.82918,       273.58476,       21.82954,    211.46645,     +19.49517,     211.48271,      +19.48444,  1179098.91, -3655601.89,  5177591.74,      53.611338,       -3.333693,   82420.63,  213426.80,   13106.97,            13146.42,   -94.86,  28249.76,           27274.92,     16.88,     63.01,          63.04,  +0.35,  -1.30

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.