Orbital Analysis for matched events on 20210813_000425.356_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 304.25° Bg 76.78° Vg 23.77km/s
mass 0.09905g, abs. mag 0.2
Path Details
------------
start 1.40° 52.82° 96.32km
end   1.47° 52.80° 83.22km

Orbit Details
-------------
Semimajor axis 3.85A.U., eccentricity 0.74, inclination 36.83°, Period 7.54Y, LA Sun 140.19°, last Perihelion 2014-02-11

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: 2459439.503071259707
Time: 2021-08-13 00:04:25.397273 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 18.76568 deg
 R.A. = 286.65856  Dec = +55.48371 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 18.77 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3178795.92 +/- 82.79 m
 Y =  -2296485.04 +/- 36.01 m
 Z =   5136263.67 +/- 62.33 m
 Vx =     3883.56 +/- 259.76 m/s
 Vy =   -14489.06 +/- 80.27 m/s
 Vz =    21522.47 +/- 136.11 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.366751e+03, +1.993248e+03, +4.848969e+03, +1.933090e+04, +6.304962e+03, +1.021297e+04
+1.993248e+03, +1.398329e+03, +6.376005e+02, +5.378866e+03, +2.039688e+03, +3.223706e+03
+4.848969e+03, +6.376005e+02, +4.161317e+03, +1.191578e+04, +4.139511e+03, +6.606854e+03
+1.933090e+04, +5.378866e+03, +1.191578e+04, +7.379470e+04, +2.232366e+04, +3.615597e+04
+6.304962e+03, +2.039688e+03, +4.139511e+03, +2.232366e+04, +7.843376e+03, +1.152696e+04
+1.021297e+04, +3.223706e+03, +6.606854e+03, +3.615597e+04, +1.152696e+04, +1.928465e+04

Timing offsets (from input data):
    UK002K: 0.000463 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:04:25.397273 UTC
  Lon     = ++1.395285 +/- 0.0010 deg
  Lat     = +52.820812 +/- 0.0001 deg
  Lat geo = +52.638147 +/- 0.0001 deg
  Ht      =   97533.88 +/- 82.63 m

  JD dynamic   = 2459439.503872468602 
  LST apparent = 324.1541982187 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 285.00453 +/- 1.0491 deg
  Dec       = +55.12469 +/- 0.1807 deg
  Azimuth   = 291.53772 +/- 0.2883 deg
  Elevation = +67.16375 +/- 0.6130 deg
  Vavg      =  25.43678 +/- 0.0738 km/s
  Vinit     =  26.23417 +/- 0.1086 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 285.86184 +/- 1.0491 deg
  Dec       = +55.44646 +/- 0.1807 deg
  Azimuth   = 292.14432 +/- 0.2883 deg
  Elevation = +67.70013 +/- 0.6130 deg
  Vavg      =  25.33491 +/- 0.0738 km/s
  Vinit     =  26.13229 +/- 0.1086 km/s
Radiant (geocentric, J2000):
  R.A.   = 282.93281 +/- 1.1055 deg
  Dec    = +54.88057 +/- 0.2038 deg
  Vg     =  23.76701 +/- 0.1198 km/s
  Vinf   =  26.23417 +/- 0.1086 km/s
  Zc     =  22.90390 +/- 0.6124 deg
  Zg     =  24.04928 +/- 0.6527 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 304.25182 +/- 2.7914 deg
  Bg     = +76.77595 +/- 0.1399 deg
  Vh     =  38.99216 +/- 0.1205 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 240.35571 +/- 0.3133 deg
  Bh     = +36.39733 +/- 0.3243 deg
  Vh_x   =  15.52377 +/- 0.2562 km/s
  Vh_y   =  27.27765 +/- 0.1199 km/s
  Vh_z   = -23.13722 +/- 0.1071 km/s
Orbit:
  La Sun = 140.191450 +/- 0.0000 deg
  a      =   3.845429 +/- 0.1365 AU
  e      =   0.742753 +/- 0.0100
  i      =  36.830737 +/- 0.3536 deg
  peri   = 199.189113 +/- 0.6694 deg
  node   = 140.197007 +/- 0.0001 deg
  Pi     = 339.386120 +/- 0.6694 deg
  q      =   0.989224 +/- 0.0015 AU
  f      = 340.804875 +/- 0.6694 deg
  M      = 358.072130 +/- 0.2068 deg
  Q      =   6.701635 +/- 0.2716 AU
  n      =   0.130703 +/- 0.0082 deg/day
  T      =   7.540808 +/- 0.3890 years
  Last perihelion JD = 2456699.925688 (2014-02-11 10:12:59.473852) +/- 142.5967 days
  Tj     =   2.274721 +/- 0.0474
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.053338e-04, +1.559740e-05, -1.506304e+00, +1.079916e-08, -1.199934e-04, -6.360392e-05
q   , +1.559740e-05, +2.497886e-06, -2.247630e-01, +1.654053e-09, -1.903100e-05, -9.732488e-06
Tp  , -1.506304e+00, -2.247630e-01, +2.161727e+04, -1.562190e-04, +1.728162e+00, +9.195822e-01
node, +1.079916e-08, +1.654053e-09, -1.562190e-04, +1.184620e-12, -1.269355e-08, -6.961975e-09
peri, -1.199934e-04, -1.903100e-05, +1.728162e+00, -1.269355e-08, +1.451763e-04, +7.469226e-05
i   , -6.360392e-05, -9.732488e-06, +9.195822e-01, -6.961975e-09, +7.469226e-05, +4.091900e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.872347
 a2 = 9.688073

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 6.510e-06 s
  Stddev    = 2.55e-03 s

Begin point on the trajectory:
  Lon =     1.402245 +/- 0.0009 deg
  Lat =    52.819148 +/- 0.0001 deg
  Ht  = 96317.93 +/- 60.53 m
End point on the trajectory:
  Lon =     1.474977 +/- 0.0012 deg
  Lat =    52.801158 +/- 0.0002 deg
  Ht  = 83222.89 +/- 70.37 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.057711,  14.975034,    95482.90,    84025.87,          0.013596,     40.12,      7.92,              76.15, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_000421_145_0342784.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   1.435079,   8.638256,    96317.93,    83222.89,          0.011614,     26.55,      6.49,              65.62, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_000417_376_0348672.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,     UK002K,       0,  0.090356, 2459439.503072299995,   7.97601,   9.28981,              123.08490,  32.69582,       123.08137,       32.69608,      7.97601,      +9.28981,       7.97885,       +9.29154,  3178466.48, -2295255.94,  5134437.92,      52.818004,       +1.406819,   95482.90,  173644.81,       0.00,             2225.44,   -32.55,      0.00,           26038.67,     -1.75,     -8.87,          10.74,  +4.14,  +2.94
  1,     UK002K,       0,  0.130656, 2459439.503072766587,   8.18950,   9.00925,              123.03693,  32.34724,       123.04678,       32.34650,      8.18950,      +9.00925,       8.18315,       +9.00441,  3178305.13, -2294653.96,  5133543.72,      52.816628,       +1.412403,   94478.40,  173420.55,    1089.97,             3315.40,     0.18,  27046.30,           26038.67,      4.89,     24.80,          30.06,  +3.82,  +2.62
  2,     UK002K,       0,  0.170948, 2459439.503073232714,   8.37307,   8.72409,              123.02177,  32.00954,       123.01384,       32.01013,      8.37307,      +8.72409,       8.37935,       +8.72800,  3178150.23, -2294076.06,  5132685.29,      52.815306,       +1.417759,   93514.11,  173211.09,    2136.31,             4361.75,   -10.50,  25969.15,           26038.67,     -3.95,    -20.02,          24.31,  +3.78,  +2.59
  3,     UK002K,       0,  0.211228, 2459439.503073698841,   8.58996,   8.47512,              122.95151,  31.68641,       122.98223,       31.68410,      8.58996,      +8.47512,       8.56919,       +8.45996,  3178000.43, -2293517.16,  5131855.08,      52.814027,       +1.422934,   92581.51,  173013.98,    3148.27,             5373.71,   -55.25,  25123.12,           26038.67,     15.35,     77.73,          94.46,  +4.27,  +3.08
  4,     UK002K,       0,  0.251536, 2459439.503074165434,   8.78432,   8.16936,              122.93746,  31.32540,       122.94739,       31.32465,      8.78432,      +8.16936,       8.77834,       +8.16444,  3177835.74, -2292902.71,  5130942.37,      52.812620,       +1.428641,   91556.26,  172804.58,    4260.80,             6486.23,    -0.18,  27600.54,           26257.33,      4.98,     25.22,          30.68,  +2.23,  +1.04
  5,     UK002K,       0,  0.291848, 2459439.503074632026,   8.98668,   7.86920,              122.91188,  30.96516,       122.91282,       30.96509,      8.98668,      +7.86920,       8.98723,       +7.86873,  3177671.39, -2292289.55,  5130031.56,      52.811216,       +1.434338,   90533.16,  172602.45,    5371.00,             7596.43,    52.47,  27540.18,           26503.14,      0.47,      2.39,           2.91,  +2.30,  +1.11
  6,     UK002K,       0,  0.332112, 2459439.503075098153,   9.16305,   7.61304,              122.88628,  30.65584,       122.88365,       30.65604,      9.16305,      +7.61304,       9.16631,       +7.61435,  3177530.33, -2291763.29,  5129249.83,      52.810009,       +1.439204,   89655.04,  172433.29,    6323.87,             8549.30,   -50.95,  23665.54,           26287.14,     -1.33,     -6.72,           8.19,  +2.04,  +0.86
  7,     UK002K,       0,  0.372428, 2459439.503075564746,   9.36980,   7.30727,              122.85935,  30.28845,       122.84884,       30.28924,      9.36980,      +7.30727,       9.37886,       +7.31253,  3177363.40, -2291140.50,  5128324.72,      52.808581,       +1.444996,   88615.90,  172241.12,    7451.50,             9676.94,    19.03,  27969.92,           26337.42,     -5.31,    -26.89,          32.82,  +1.65,  +0.47
  8,     UK002K,       0,  0.412720, 2459439.503076031338,   9.55074,   7.01331,              122.85098,  29.94407,       122.81671,       29.94665,      9.55074,      +7.01331,       9.57701,       +7.03048,  3177207.78, -2290559.88,  5127462.27,      52.807249,       +1.450385,   87647.13,  172067.82,    8502.77,            10728.21,    13.27,  26091.18,           26344.47,    -17.32,    -87.81,         107.29,  +1.59,  +0.41
  9,     UK002K,       0,  0.453004, 2459439.503076497465,   9.76821,   6.75894,              122.78345,  29.61562,       122.78595,       29.61543,      9.76821,      +6.75894,       9.76830,       +6.75768,  3177057.59, -2289999.54,  5126629.91,      52.805963,       +1.455581,   86712.19,  171906.17,    9517.34,            11742.78,   -28.98,  25185.49,           26284.86,      1.27,      6.43,           7.86,  +1.94,  +0.76
 10,     UK002K,       0,  0.493288, 2459439.503076963592,   9.94335,   6.47527,              122.77463,  29.28294,       122.75541,       29.28439,      9.94335,      +6.47527,       9.95926,       +6.48496,  3176907.76, -2289440.54,  5125799.56,      52.804680,       +1.460766,   85779.50,  171750.65,   10529.47,            12754.91,   -73.67,  25124.81,           26199.64,     -9.76,    -49.50,          60.59,  +2.07,  +0.90
 11,     UK002K,       0,  0.533536, 2459439.503077429254,  10.11150,   6.23861,              122.74550,  28.99435,       122.72922,       28.99557,     10.11150,      +6.23861,      10.12549,       +6.24683,  3176777.16, -2288953.31,  5125075.82,      52.803560,       +1.465265,   84966.54,  171618.76,   11411.65,            13637.09,  -247.35,  21918.78,           25986.03,     -8.29,    -42.01,          51.46,  +3.70,  +2.53
 12,     UK002K,       0,  0.573820, 2459439.503077895846,  10.31024,   5.96674,              122.70655,  28.65998,       122.69866,       28.66057,     10.31024,      +5.96674,      10.31835,       +5.97073,  3176626.05, -2288389.52,  5124238.35,      52.802264,       +1.470498,   84025.87,  171472.92,   12432.47,            14657.90,  -283.36,  25340.39,           25835.62,     -4.03,    -20.40,          25.01,  +2.50,  +1.33
  0,     UK0032,       1,  0.000000, 2459439.503071259707,  16.04617,  28.85853,              100.26948,  44.45984,       100.20508,       44.45641,     16.04617,     +28.85853,      16.08747,      +28.88710,  3178801.65, -2296506.40,  5136295.39,      52.820861,       +1.395250,   97569.52,  138230.01,       0.00,               38.67,   151.11,      0.00,           25266.34,    -26.40,   -108.02,         165.92,  +6.06,  +5.36
  1,     UK0032,       0,  0.040448, 2459439.503071727697,  16.43440,  28.46770,              100.28698,  43.94154,       100.26033,       43.94012,     16.43440,     +28.46770,      16.45178,      +28.47958,  3178600.61, -2295756.35,  5135181.25,      52.819148,       +1.402245,   96317.93,  137702.28,    1358.06,             1319.38,   370.70,  33575.40,           25266.34,    -10.98,    -44.92,          69.26,  +5.33,  +4.64
  2,     UK0032,       0,  0.080704, 2459439.503072193824,  16.66599,  28.25516,              100.27641,  43.64719,       100.29188,       43.64801,     16.66599,     +28.25516,      16.65629,      +28.24825,  3178486.99, -2295332.45,  5134551.58,      52.818179,       +1.406126,   95610.58,  137405.55,    2125.57,             2086.90,    82.14,  19065.91,           25266.34,      6.39,     26.15,          40.41,  +4.52,  +3.83
  3,     UK0032,       0,  0.121036, 2459439.503072660416,  16.92993,  27.94141,              100.32896,  43.25834,       100.33294,       43.25856,     16.92993,     +27.94141,      16.92784,      +27.93962,  3178336.67, -2294771.64,  5133718.53,      52.816897,       +1.411317,   94674.78,  137021.12,    3140.99,             3102.32,    39.48,  25176.44,           25266.34,      1.65,      6.75,          10.47,  +3.27,  +2.59
  4,     UK0032,       0,  0.161368, 2459439.503073127475,  17.20068,  27.64114,              100.36057,  42.87494,       100.37284,       42.87560,     17.20068,     +27.64114,      17.19331,      +27.63562,  3178189.65, -2294223.13,  5132903.75,      52.815643,       +1.416391,   93759.51,  136651.12,    4134.14,             4095.47,   -25.45,  24624.34,           24922.26,      5.10,     20.88,          32.44,  +3.17,  +2.49
  5,     UK0032,       0,  0.201728, 2459439.503073594533,  17.48831,  27.30116,              100.41072,  42.45144,       100.41626,       42.45174,     17.48831,     +27.30116,      17.48550,      +27.29866,  3178027.98, -2293619.93,  5132007.75,      52.814262,       +1.421989,   92753.01,  136252.18,    5226.30,             5187.62,     7.89,  27060.40,           25129.59,      2.31,      9.47,          14.76,  +2.51,  +1.84
  6,     UK0032,       0,  0.242096, 2459439.503074061591,  17.77964,  26.96208,              100.45397,  42.02580,       100.45928,       42.02608,     17.77964,     +26.96208,      17.77714,      +26.95967,  3177866.56, -2293017.69,  5131113.17,      52.812884,       +1.427579,   91748.12,  135861.38,    6316.72,             6278.05,    39.30,  27012.14,           25405.50,      2.22,      9.10,          14.22,  +2.32,  +1.65
  7,     UK0032,       0,  0.282424, 2459439.503074528649,  18.03765,  26.65101,              100.49959,  41.64027,       100.49794,       41.64018,     18.03765,     +26.65101,      18.03992,      +26.65176,  3177720.89, -2292474.23,  5130305.88,      52.811639,       +1.432608,   90841.29,  135514.40,    7300.73,             7262.06,   -34.66,  24400.19,           25436.67,     -0.69,     -2.83,           4.44,  +2.09,  +1.43
  8,     UK0032,       0,  0.322812, 2459439.503074996173,  18.35288,  26.30201,              100.52510,  41.19187,       100.54195,       41.19277,     18.35288,     +26.30201,      18.34295,      +26.29431,  3177553.11, -2291848.27,  5129376.08,      52.810204,       +1.438428,   89796.86,  135123.73,    8434.10,             8395.42,    39.16,  28061.87,           25626.46,      7.12,     29.11,          45.75,  +1.69,  +1.04
  9,     UK0032,       0,  0.363136, 2459439.503075462766,  18.60918,  25.99834,              100.56122,  40.81187,       100.57910,       40.81282,     18.60918,     +25.99834,      18.59867,      +25.99015,  3177411.21, -2291318.84,  5128589.64,      52.808990,       +1.443326,   88913.47,  134798.50,    9392.70,             9354.02,   -60.11,  23772.37,           25621.95,      7.58,     30.99,          48.82,  +1.56,  +0.91
 10,     UK0032,       0,  0.403500, 2459439.503075929824,  18.87995,  25.64846,              100.62229,  40.38799,       100.61996,       40.38787,     18.87995,     +25.64846,      18.88321,      +25.64953,  3177253.43, -2290730.19,  5127715.24,      52.807640,       +1.448791,   87931.28,  134444.86,   10458.52,            10419.85,   -53.20,  26405.46,           25655.13,     -0.99,     -4.05,           6.40,  +1.37,  +0.73
 11,     UK0032,       0,  0.443840, 2459439.503076396883,  19.14885,  25.33767,              100.64904,  39.99419,       100.65745,       39.99464,     19.14885,     +25.33767,      19.14499,      +25.33380,  3177108.07, -2290187.87,  5126909.67,      52.806396,       +1.453814,   87026.41,  134124.99,   11440.45,            11401.78,  -129.56,  24341.28,           25623.74,      3.59,     14.69,          23.25,  +1.63,  +0.99
 12,     UK0032,       0,  0.484212, 2459439.503076863941,  19.44493,  24.99297,              100.67835,  39.55815,       100.69829,       39.55922,     19.44493,     +24.99297,      19.43334,      +24.98374,  3176948.03, -2289590.79,  5126022.74,      52.805025,       +1.459363,   86030.18,  133781.07,   12521.54,            12482.87,  -107.59,  26778.23,           25642.86,      8.55,     34.95,          55.48,  +1.65,  +1.02
 13,     UK0032,       0,  0.524568, 2459439.503077330999,  19.70237,  24.64539,              100.74213,  39.14225,       100.73703,       39.14198,     19.70237,     +24.64539,      19.70807,      +24.64776,  3176795.38, -2289021.30,  5125176.80,      52.803716,       +1.464649,   85079.99,  133459.91,   13552.68,            13514.00,  -135.16,  25550.98,           25652.25,     -2.19,     -8.98,          14.28,  +2.37,  +1.74
 14,     UK0032,       0,  0.564908, 2459439.503077798057,  19.94941,  24.31452,              100.79887,  38.74466,       100.77369,       38.74332,     19.94941,     +24.31452,      19.96913,      +24.32625,  3176650.16, -2288479.49,  5124371.99,      52.802471,       +1.469671,   84176.00,  133160.56,   14533.68,            14495.00,  -212.45,  24318.23,           25625.01,    -10.86,    -44.45,          70.88,  +2.84,  +2.22
 15,     UK0032,       0,  0.605272, 2459439.503078265116,  20.25881,  23.99659,              100.78746,  38.31958,       100.81200,       38.32088,     20.25881,     +23.99659,      20.24435,      +23.98513,  3176497.05, -2287908.24,  5123523.44,      52.801158,       +1.474977,   83222.89,  132852.47,   15568.00,            15529.32,  -237.05,  25624.87,           25606.78,     10.63,     43.46,          69.46,  +2.84,  +2.22

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.