Orbital Analysis for matched events on 20210816_220023.387_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 314.70° Bg 72.38° Vg 23.45km/s
mass 0.05729g, abs. mag 0.5
Path Details
------------
start 1.68° 53.56° 93.18km
end   1.68° 53.56° 84.22km

Orbit Details
-------------
Semimajor axis 3.34A.U., eccentricity 0.71, inclination 36.19°, Period 6.12Y, LA Sun 143.95°, last Perihelion 2015-07-26

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: 2459443.416937353555
Time: 2021-08-16 22:00:23.427540 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 27.31060 deg
 R.A. = 291.01771  Dec = +51.92550 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 27.31 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1765861.19 +/- 92.31 m
 Y =  -3423836.66 +/- 27.31 m
 Z =   5183504.16 +/- 64.15 m
 Vx =     5629.79 +/- 430.06 m/s
 Vy =   -14880.84 +/- 6.84 m/s
 Vz =    20504.31 +/- 351.58 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.200097e+03, +1.530007e+03, +5.871052e+03, +3.708679e+04, +3.572501e+03, +2.528794e+04
+1.530007e+03, +8.076949e+02, +1.005854e+03, +5.462372e+03, +3.488520e+03, +3.176250e+03
+5.871052e+03, +1.005854e+03, +4.487190e+03, +2.150961e+04, +4.745187e+03, +1.472139e+04
+3.708679e+04, +5.462372e+03, +2.150961e+04, +1.832757e+05, +1.070757e+03, +1.256281e+05
+3.572501e+03, +3.488520e+03, +4.745187e+03, +1.070757e+03, +3.619950e+04, -1.207063e+04
+2.528794e+04, +3.176250e+03, +1.472139e+04, +1.256281e+05, -1.207063e+04, +9.627413e+04

Timing offsets (from input data):
    UK0026: 0.000000 s
    UK002K: 0.000000 s
    UK0032: -0.000014 s

Reference point on the trajectory:
  Time: 2021-08-16 22:00:23.427540 UTC
  Lon     = ++1.674260 +/- 0.0013 deg
  Lat     = +53.561584 +/- 0.0002 deg
  Lat geo = +53.380186 +/- 0.0002 deg
  Ht      =   93919.08 +/- 68.48 m

  JD dynamic   = 2459443.417738559656 
  LST apparent = 297.2826513479 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 290.72289 +/- 1.4089 deg
  Dec       = +52.19057 +/- 0.2793 deg
  Azimuth   = 253.53536 +/- 3.2475 deg
  Elevation = +85.81210 +/- 0.8715 deg
  Vavg      =  24.95427 +/- 0.2049 km/s
  Vinit     =  25.95304 +/- 0.3455 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 291.72985 +/- 1.4089 deg
  Dec       = +52.24230 +/- 0.2793 deg
  Azimuth   = 250.73183 +/- 3.2475 deg
  Elevation = +86.40139 +/- 0.8715 deg
  Vavg      =  24.93611 +/- 0.2049 km/s
  Vinit     =  25.93488 +/- 0.3455 km/s
Radiant (geocentric, J2000):
  R.A.   = 290.26886 +/- 1.4846 deg
  Dec    = +52.07911 +/- 0.2957 deg
  Vg     =  23.45476 +/- 0.3828 km/s
  Vinf   =  25.95304 +/- 0.3455 km/s
  Zc     =   4.14014 +/- 0.8772 deg
  Zg     =   4.34957 +/- 0.9283 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 314.69537 +/- 3.0552 deg
  Bg     = +72.37984 +/- 0.2724 deg
  Vh     =  38.56269 +/- 0.1900 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 247.46943 +/- 0.6106 deg
  Bh     = +35.42880 +/- 0.5755 deg
  Vh_x   =  12.04027 +/- 0.4049 km/s
  Vh_y   =  29.02399 +/- 0.1710 km/s
  Vh_z   = -22.35443 +/- 0.3363 km/s
Orbit:
  La Sun = 143.951467 +/- -0.0000 deg
  a      =   3.344123 +/- 0.2427 AU
  e      =   0.710480 +/- 0.0161
  i      =  36.191962 +/- 0.6463 deg
  peri   = 206.529319 +/- 1.0362 deg
  node   = 143.956676 +/- 0.0001 deg
  Pi     = 350.485994 +/- 1.0360 deg
  q      =   0.968191 +/- 0.0032 AU
  f      = 333.464301 +/- 1.0361 deg
  M      = 356.742556 +/- 0.3015 deg
  Q      =   5.720056 +/- 0.4848 AU
  n      =   0.161169 +/- 0.0127 deg/day
  T      =   6.115389 +/- 0.7131 years
  Last perihelion JD = 2457229.944368 (2015-07-26 10:39:53.390787) +/- 260.7838 days
  Tj     =   2.466756 +/- 0.0825
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.830127e-04, +7.203690e-06, -4.559537e+00, -1.260998e-09, -8.402616e-05, +3.755344e-06
q   , +7.203690e-06, +1.122961e-05, -1.645380e-01, +7.306899e-09, -6.192108e-05, -3.760333e-05
Tp  , -4.559537e+00, -1.645380e-01, +7.425608e+04, -6.386049e-06, +1.605565e+00, +8.095466e-02
node, -1.260998e-09, +7.306899e-09, -6.386049e-06, +5.212669e-12, -3.958874e-08, -2.667287e-08
peri, -8.402616e-05, -6.192108e-05, +1.605565e+00, -3.958874e-08, +3.488188e-04, +2.040420e-04
i   , +3.755344e-06, -3.760333e-05, +8.095466e-02, -2.667287e-08, +2.040420e-04, +1.365570e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.005946
 a2 = 27.735910

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 1.562e-05 s
  Stddev    = 3.95e-03 s

Begin point on the trajectory:
  Lon =     1.675033 +/- 0.0012 deg
  Lat =    53.561720 +/- 0.0002 deg
  Ht  = 93178.48 +/- 55.80 m
End point on the trajectory:
  Lon =     1.682890 +/- 0.0010 deg
  Lat =    53.563368 +/- 0.0001 deg
  Ht  = 84220.45 +/- 42.95 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
    UK0026,    True,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,    93097.82,    84204.09,          0.031942,       nan,       nan,              58.96, 0.0000,    True,    True, {"ff_name": "FF_UK0026_20210816_220019_462_0176640.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.003901,  28.799219,    93178.48,    84220.45,          0.015431,     41.19,     16.14,              59.92, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210816_220019_686_0171008.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.002873,  29.897585,    92028.08,    84970.38,          0.013600,     34.14,     15.93,              58.96, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210816_220020_587_0176640.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,     UK0026,       1,  0.034578, 2459443.416937753558,  24.57219,  44.79963,               59.72258,  34.76223,        59.75557,       34.76273,     24.57219,     +44.79963,      24.54584,      +44.78011,  1765682.57, -3423364.51,  5182853.59,      53.561735,       +1.675141,   93097.82,  160898.65,       0.00,              823.45,   227.06,      0.00,           24576.88,     32.18,     68.97,          97.56,  +4.96,  +3.93
  1,     UK0026,       1,  0.074710, 2459443.416938218288,  24.71064,  44.61621,               59.80427,  34.56523,        59.75771,       34.56452,     24.71064,     +44.61621,      24.74845,      +44.64375,  1765539.25, -3422985.69,  5182331.61,      53.561856,       +1.675662,   92438.87,  160543.10,     660.69,             1484.14,  -153.80,  16462.90,           24576.88,    -45.44,    -97.37,         138.05,  +4.95,  +3.92
  2,     UK0026,       1,  0.114950, 2459443.416938683949,  25.01444,  44.40144,               59.81466,  34.26029,        59.76221,       34.25948,     25.01444,     +44.40144,      25.05732,      +44.43247,  1765320.70, -3422408.00,  5181535.62,      53.562041,       +1.676544,   91434.01,  160008.82,    1668.20,             2491.66,  -190.63,  25037.64,           24576.88,    -51.20,   -109.73,         156.09,  +3.89,  +2.87
  3,     UK0026,       1,  0.155262, 2459443.416939150542,  25.41290,  44.12899,               59.81705,  33.86576,        59.76864,       33.86502,     25.41290,     +44.12899,      25.45289,      +44.15762,  1765040.61, -3421667.67,  5180515.51,      53.562277,       +1.677721,   90146.23,  159333.07,    2959.39,             3782.84,    54.33,  32029.76,           24576.88,    -47.29,   -101.33,         144.76,  +2.33,  +1.32
  4,     UK0026,       1,  0.195522, 2459443.416939616669,  25.75256,  43.91978,               59.79644,  33.54464,        59.77337,       33.54429,     25.75256,     +43.91978,      25.77219,      +43.93343,  1764814.33, -3421069.57,  5179691.38,      53.562469,       +1.678641,   89105.82,  158791.13,    4002.52,             4825.97,    52.59,  25909.82,           25605.28,    -22.54,    -48.29,          69.23,  +2.08,  +1.08
  5,     UK0026,       1,  0.235782, 2459443.416940082330,  26.06771,  43.68039,               59.81435,  33.21476,        59.77826,       33.21420,     26.06771,     +43.68039,      26.09825,      +43.70174,  1764583.09, -3420458.32,  5178849.15,      53.562664,       +1.679585,   88042.55,  158242.65,    5068.56,             5892.01,    73.76,  26478.88,           26023.65,    -35.27,    -75.58,         108.72,  +1.85,  +0.85
  6,     UK0026,       1,  0.276022, 2459443.416940548457,  26.36246,  43.46492,               59.82177,  32.91146,        59.78252,       32.91085,     26.36246,     +43.46492,      26.39585,      +43.48813,  1764371.84, -3419899.96,  5178079.78,      53.562843,       +1.680433,   87071.24,  157745.50,    6042.38,             6865.83,     3.23,  24200.31,           25977.68,    -38.36,    -82.20,         118.62,  +1.65,  +0.66
  7,     UK0026,       1,  0.316282, 2459443.416941014118,  26.68714,  43.24142,               59.81592,  32.58639,        59.78721,       32.58595,     26.68714,     +43.24142,      26.71214,      +43.25840,  1764147.14, -3419306.02,  5177261.40,      53.563033,       +1.681347,   86038.04,  157222.11,    7078.24,             7901.69,    -5.78,  25729.27,           25937.83,    -28.08,    -60.17,          87.12,  +1.14,  +0.16
  8,     UK0026,       1,  0.356546, 2459443.416941480245,  27.01331,  43.01251,               59.81156,  32.25616,        59.79195,       32.25586,     27.01331,     +43.01251,      27.03103,      +43.02410,  1763920.38, -3418706.63,  5176435.50,      53.563225,       +1.682270,   84995.34,  156699.13,    8123.61,             8947.06,    -5.38,  25962.94,           25920.90,    -19.18,    -41.10,          59.70,  +1.91,  +0.93
  9,     UK0026,       1,  0.396738, 2459443.416941945441,  27.23626,  42.82050,               59.83705,  32.00504,        59.79498,       32.00440,     27.23626,     +42.82050,      27.27282,      +42.84536,  1763748.31, -3418251.82,  5175808.80,      53.563371,       +1.682931,   84204.09,  156303.78,    8916.84,             9740.29,  -255.25,  19735.95,           25575.49,    -41.16,    -88.20,         128.45,  +4.26,  +3.29
  0,     UK002K,       1,  0.000000, 2459443.416937353555,   4.89778,  27.58248,               88.10218,  33.73640,        88.05921,       33.73725,      4.89778,     +27.58248,       4.92708,      +27.60705,  1765863.06, -3423841.60,  5183510.96,      53.561582,       +1.674419,   93927.66,  166397.37,       0.00,                8.61,   309.62,      0.00,           23276.37,    -37.86,    -96.67,         128.70,  +6.64,  +5.53
  1,     UK002K,       0,  0.040176, 2459443.416937818751,   5.07554,  27.42854,               88.08535,  33.51650,        88.05286,       33.51714,      5.07554,     +27.42854,       5.09791,      +27.44715,  1765700.11, -3423410.88,  5182917.49,      53.561720,       +1.675033,   93178.48,  166003.24,     751.19,              742.57,     0.89,  18697.37,           23276.37,    -28.64,    -73.12,          97.57,  +3.60,  +2.50
  2,     UK002K,       0,  0.080396, 2459443.416938283946,   5.31496,  27.24350,               88.04413,  33.23670,        88.04483,       33.23669,      5.31496,     +27.24350,       5.31481,      +27.24310,  1765494.03, -3422866.16,  5182166.91,      53.561894,       +1.675855,   92230.96,  165510.76,    1701.22,             1692.61,   -92.91,  23620.85,           23276.37,      0.62,      1.58,           2.12,  +4.58,  +3.49
  3,     UK002K,       0,  0.120668, 2459443.416938750073,   5.55065,  26.99045,               88.05918,  32.90825,        88.03553,       32.90871,      5.55065,     +26.99045,       5.56742,      +27.00404,  1765254.82, -3422233.88,  5181295.69,      53.562096,       +1.676836,   91131.13,  164945.61,    2803.96,             2795.34,   -35.35,  27382.29,           23276.37,    -20.86,    -53.24,          71.51,  +2.56,  +1.47
  4,     UK002K,       0,  0.160928, 2459443.416939216200,   5.80516,  26.75970,               88.04049,  32.58492,        88.02642,       32.58520,      5.80516,     +26.75970,       5.81553,      +26.76779,  1765020.43, -3421614.31,  5180441.99,      53.562295,       +1.677795,   90053.41,  164396.92,    3884.51,             3875.90,     0.34,  26839.46,           24412.06,    -12.41,    -31.68,          42.68,  +1.96,  +0.88
  5,     UK002K,       0,  0.201196, 2459443.416939682327,   6.05575,  26.51705,               88.03319,  32.25475,        88.01719,       32.25506,      6.05575,     +26.51705,       6.06767,      +26.52627,  1764782.84, -3420986.33,  5179576.69,      53.562495,       +1.678769,   88961.03,  163846.28,    4979.76,             4971.15,    50.51,  27198.90,           25134.74,    -14.12,    -36.04,          48.73,  +1.96,  +0.89
  6,     UK002K,       0,  0.241456, 2459443.416940147988,   6.29574,  26.27670,               88.03138,  31.93229,        88.00825,       31.93275,      6.29574,     +26.27670,       6.31281,      +26.29004,  1764552.37, -3420377.14,  5178737.29,      53.562690,       +1.679709,   87901.33,  163317.08,    6042.21,             6033.60,    68.10,  26389.89,           25527.23,    -20.42,    -52.12,          70.70,  +1.88,  +0.81
  7,     UK002K,       0,  0.281704, 2459443.416940614115,   6.56395,  26.06303,               87.98542,  31.61281,        87.99942,       31.61253,      6.56395,     +26.06303,       6.55537,      +26.05495,  1764324.84, -3419775.73,  5177908.60,      53.562883,       +1.680636,   86855.13,  162799.61,    7091.11,             7082.50,    72.44,  26060.90,           25735.18,     12.36,     31.54,          42.93,  +2.07,  +1.01
  8,     UK002K,       0,  0.321924, 2459443.416941079311,   6.76509,  25.86369,               87.98064,  31.34369,        87.99203,       31.34346,      6.76509,     +25.86369,       6.75848,      +25.85709,  1764134.52, -3419272.65,  5177215.41,      53.563044,       +1.681384,   85979.97,  162369.12,    7968.51,             7959.90,   -94.00,  21814.86,           25571.05,     10.07,     25.69,          35.05,  +1.56,  +0.51
  9,     UK002K,       0,  0.362172, 2459443.416941545438,   6.99996,  25.63743,               87.96914,  31.03410,        87.98360,       31.03381,      6.99996,     +25.63743,       6.99134,      +25.62905,  1763916.93, -3418697.53,  5176422.96,      53.563228,       +1.682263,   84979.49,  161882.75,    8971.55,             8962.94,  -135.52,  24921.48,           25452.06,     12.78,     32.61,          44.63,  +2.00,  +0.95
 10,     UK002K,       0,  0.402364, 2459443.416942010634,   7.17638,  25.46358,               87.96287,  30.79845,        87.97720,       30.79817,      7.17638,     +25.46358,       7.16801,      +25.45528,  1763751.87, -3418261.23,  5175821.78,      53.563368,       +1.682890,   84220.45,  161514.64,    9732.48,             9723.87,  -417.69,  18932.42,           25091.27,     12.66,     32.30,          44.31,  +4.53,  +3.49
  0,     UK0032,       0,  0.080610, 2459443.416938286740,  24.86702,  44.55147,               59.76935,  34.43966,        59.76017,       34.43952,     24.86702,     +44.55147,      24.87476,      +44.55690,  1765449.90, -3422749.52,  5182006.19,      53.561931,       +1.676066,   92028.08,  160326.24,       0.00,             1896.03,   104.96,      0.00,           25260.89,     -8.96,    -19.20,          27.26,  +4.62,  +3.59
  1,     UK0032,       0,  0.120834, 2459443.416938752402,  25.17137,  44.36990,               59.74944,  34.15702,        59.76414,       34.15725,     25.17137,     +44.36990,      25.15997,      +44.36121,  1765248.04, -3422215.95,  5181270.99,      53.562102,       +1.676868,   91099.96,  159833.72,     930.57,             2826.60,    -8.41,  23134.70,           25260.89,     14.36,     30.76,          43.81,  +4.12,  +3.10
  2,     UK0032,       0,  0.161114, 2459443.416939218529,  25.50958,  44.13170,               59.75713,  33.81733,        59.76935,       33.81752,     25.50958,     +44.13170,      25.50032,      +44.12447,  1765007.01, -3421578.84,  5180393.12,      53.562306,       +1.677858,   89991.72,  159252.29,    2041.73,             3937.76,    57.36,  27585.91,           25260.89,     11.93,     25.57,          36.55,  +2.53,  +1.52
  3,     UK0032,       0,  0.201354, 2459443.416939684190,  25.82221,  43.93152,               59.74465,  33.51653,        59.77363,       33.51697,     25.82221,     +43.93152,      25.79940,      +43.91437,  1764795.05, -3421018.58,  5179621.13,      53.562485,       +1.678710,   89017.13,  158744.68,    3018.86,             4914.89,    -9.86,  24282.45,           25260.89,     28.32,     60.68,          87.01,  +2.17,  +1.17
  4,     UK0032,       0,  0.241598, 2459443.416940149851,  26.11277,  43.72255,               59.75106,  33.22059,        59.77778,       33.22100,     26.11277,     +43.72255,      26.09190,      +43.70675,  1764587.60, -3420470.25,  5178865.58,      53.562661,       +1.679539,   88063.28,  158251.94,    3975.18,             5871.22,   -97.99,  23763.25,           24941.12,     26.12,     55.96,          80.50,  +2.27,  +1.27
  5,     UK0032,       0,  0.281886, 2459443.416940616444,  26.42176,  43.45887,               59.79120,  32.87638,        59.78293,       32.87625,     26.42176,     +43.45887,      26.42973,      +43.46376,  1764347.79, -3419836.38,  5177992.17,      53.562864,       +1.680525,   86960.63,  157688.91,    5080.69,             6976.72,   -38.08,  27440.11,           25207.10,     -8.08,    -17.32,          25.00,  +1.68,  +0.69
  6,     UK0032,       0,  0.322154, 2459443.416941082105,  26.74252,  43.22867,               59.79322,  32.54865,        59.78767,       32.54857,     26.74252,     +43.22867,      26.74845,      +43.23195,  1764121.34, -3419237.82,  5177167.42,      53.563055,       +1.681446,   85919.39,  157162.07,    6124.61,             8020.64,   -39.24,  25924.25,           25378.92,     -5.43,    -11.64,          16.86,  +1.47,  +0.49
  7,     UK0032,       0,  0.362398, 2459443.416941548232,  27.04118,  43.02169,               59.78691,  32.24811,        59.79177,       32.24818,     27.04118,     +43.02169,      27.03867,      +43.01881,  1763914.95, -3418692.29,  5176415.74,      53.563230,       +1.682272,   84970.38,  156685.67,    7076.04,             8972.07,  -132.26,  23641.54,           25305.76,      4.76,     10.19,          14.81,  +2.07,  +1.09
  8,     UK0032,       1,  0.402578, 2459443.416942012962,  27.23291,  42.85470,               59.81046,  32.03088,        59.79409,       32.03063,     27.23291,     +42.85470,      27.24817,      +42.86437,  1763765.88, -3418298.27,  5175872.81,      53.563356,       +1.682822,   84284.87,  156341.96,    7763.24,             9659.28,  -487.85,  17103.17,           24725.94,    -16.01,    -34.31,          49.95,  +5.68,  +4.71

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.