Orbital Analysis for matched events on 20210810_020312.697_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 296.78° Bg 71.02° Vg 23.18km/s
mass 0.02065g, abs. mag 1.7
Path Details
------------
start -4.47° 50.14° 94.22km
end   -4.38° 50.12° 84.55km

Orbit Details
-------------
Semimajor axis 4.69A.U., eccentricity 0.79, inclination 34.37°, Period 10.16Y, LA Sun 137.39°, last Perihelion 2011-07-02

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: 2459436.585563625209
Time: 2021-08-10 02:03:12.697218 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK0024
 Convergence angle = 15.97182 deg
 R.A. = 287.60725  Dec = +48.43261 deg

Best intersection: Stations UK0021 and UK0024 with Qconv = 15.97 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4016352.08 +/- 105.87 m
 Y =  -1068130.10 +/- 158.36 m
 Z =   4945394.73 +/- 69.05 m
 Vx =     4519.91 +/- 391.64 m/s
 Vy =   -16015.70 +/- 81.49 m/s
 Vz =    19586.47 +/- 640.98 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.153590e+04, -1.663277e+04, +6.488632e+03, +4.127948e+04, -5.257769e+04, +8.891700e+03
-1.663277e+04, +2.676052e+04, -9.791844e+03, -5.757704e+04, +8.047320e+04, -1.194732e+04
+6.488632e+03, -9.791844e+03, +4.924871e+03, +1.999590e+04, -2.412966e+04, +4.503008e+03
+4.127948e+04, -5.757704e+04, +1.999590e+04, +1.788175e+05, -2.281631e+05, +3.717673e+04
-5.257769e+04, +8.047320e+04, -2.412966e+04, -2.281631e+05, +3.152511e+05, -4.567733e+04
+8.891700e+03, -1.194732e+04, +4.503008e+03, +3.717673e+04, -4.567733e+04, +7.905554e+03

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK0024: 0.000242 s

Reference point on the trajectory:
  Time: 2021-08-10 02:03:12.697218 UTC
  Lon     = +-4.473261 +/- 0.0018 deg
  Lat     = +50.144018 +/- 0.0006 deg
  Lat geo = +49.957337 +/- 0.0006 deg
  Ht      =   94161.63 +/- 139.41 m

  JD dynamic   = 2459436.586364366114 
  LST apparent = 345.1071751963 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 285.75999 +/- 0.7791 deg
  Dec       = +49.64772 +/- 0.8911 deg
  Azimuth   = 292.87219 +/- 1.6751 deg
  Elevation = +52.80376 +/- 0.2054 deg
  Vavg      =  23.48794 +/- 0.4556 km/s
  Vinit     =  25.70140 +/- 0.4884 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 286.30041 +/- 0.7791 deg
  Dec       = +50.09230 +/- 0.8911 deg
  Azimuth   = 293.31449 +/- 1.6751 deg
  Elevation = +53.30205 +/- 0.2054 deg
  Vavg      =  23.32037 +/- 0.4556 km/s
  Vinit     =  25.53383 +/- 0.4884 km/s
Radiant (geocentric, J2000):
  R.A.   = 282.84698 +/- 0.9535 deg
  Dec    = +48.77749 +/- 0.8761 deg
  Vg     =  23.17662 +/- 0.5372 km/s
  Vinf   =  25.70140 +/- 0.4884 km/s
  Zc     =  37.26914 +/- 0.2575 deg
  Zg     =  39.26495 +/- 0.3007 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 296.78095 +/- 1.1874 deg
  Bg     = +71.02297 +/- 1.0035 deg
  Vh     =  39.51021 +/- 0.3718 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 240.29258 +/- 0.9843 deg
  Bh     = +33.69308 +/- 0.2681 deg
  Vh_x   =  16.29107 +/- 0.4201 km/s
  Vh_y   =  28.55271 +/- 0.4526 km/s
  Vh_z   = -21.91805 +/- 0.3489 km/s
Orbit:
  La Sun = 137.391227 +/- 0.0000 deg
  a      =   4.689778 +/- 2.3548 AU
  e      =   0.792286 +/- 0.0333
  i      =  34.371837 +/- 0.3903 deg
  peri   = 204.262253 +/- 1.1307 deg
  node   = 137.397531 +/- 0.0001 deg
  Pi     = 341.659784 +/- 1.1306 deg
  q      =   0.974133 +/- 0.0051 AU
  f      = 335.731679 +/- 1.1306 deg
  M      = 358.237324 +/- 0.3274 deg
  Q      =   8.405424 +/- 4.7142 AU
  n      =   0.097046 +/- 0.0186 deg/day
  T      =  10.156150 +/- 10.9494 years
  Last perihelion JD = 2455745.151353 (2011-07-02 15:37:56.887590) +/- 3998.8881 days
  Tj     =   2.065847 +/- 0.1738
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.202160e-03, -1.734243e-04, -1.246523e+02, -3.838676e-08, +6.573590e-04, +2.117649e-04
q   , -1.734243e-04, +2.751532e-05, +1.802047e+01, +6.447844e-09, -1.060324e-04, -3.563082e-05
Tp  , -1.246523e+02, +1.802047e+01, +1.667174e+07, +4.019502e-03, -6.691349e+01, -2.227617e+01
node, -3.838676e-08, +6.447844e-09, +4.019502e-03, +1.582427e-12, -2.509748e-08, -8.746641e-09
peri, +6.573590e-04, -1.060324e-04, -6.691349e+01, -2.509748e-08, +4.103996e-04, +1.386661e-04
i   , +2.117649e-04, -3.563082e-05, -2.227617e+01, -8.746641e-09, +1.386661e-04, +4.835274e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 12.101157
 a2 = 8.367347

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 1.712e-05 s
  Stddev    = 4.14e-03 s

Begin point on the trajectory:
  Lon =    -4.473835 +/- 0.0015 deg
  Lat =    50.144173 +/- 0.0007 deg
  Ht  = 94221.15 +/- 109.49 m
End point on the trajectory:
  Lon =    -4.382654 +/- 0.0016 deg
  Lat =    50.118814 +/- 0.0009 deg
  Ht  = 84548.85 +/- 113.73 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,  12.229518,   8.164635,    94221.15,    84548.85,          0.027600,     61.73,      8.09,              39.94, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210810_020309_316_0509184.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   4.283445,  11.419138,    92038.31,    85987.43,          0.009532,     26.89,      0.50,              43.98, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210810_020309_171_0512000.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, 2459436.585563625209, 312.94306,  14.70055,              228.59441,  45.19751,       228.54330,       45.25087,    312.94306,     +14.70055,     313.00258,      +14.72936,  4016365.22, -1068176.66,  4945451.68,      50.144173,       -4.473835,   94221.15,  131711.70,       0.00,               74.72,   535.59,      0.00,           22759.71,    -19.20,   -146.73,         231.74,  +4.43,  +3.83
  1,     UK0021,       0,  0.040120, 2459436.585564089473, 313.06996,  14.48335,              228.29183,  45.06830,       228.25387,       45.10773,    313.06996,     +14.48335,     313.11417,      +14.50467,  4016212.69, -1067636.20,  4944790.73,      50.142367,       -4.467342,   93530.30,  131068.27,     867.30,              792.58,   222.31,  21617.70,           22759.71,    -14.16,   -108.13,         171.62,  +3.25,  +2.66
  2,     UK0021,       0,  0.080224, 2459436.585564553738, 313.27683,  14.24486,              227.88003,  44.95748,       227.90326,       44.93346,    313.27683,     +14.24486,     313.25032,      +14.23183,  4016029.42, -1066986.81,  4943996.55,      50.140197,       -4.459505,   92700.24,  130297.20,    1909.42,             1834.69,   233.69,  25985.34,           22759.71,      8.65,     65.62,         104.78,  +3.35,  +2.78
  3,     UK0021,       0,  0.120376, 2459436.585565018468, 313.34332,  14.01897,              227.64622,  44.79095,       227.63834,       44.79904,    313.34332,     +14.01897,     313.35289,      +14.02336,  4015890.98, -1066496.26,  4943396.63,      50.138556,       -4.453626,   92073.23,  129718.68,    2696.64,             2621.91,   -11.05,  19605.96,           22759.71,     -2.90,    -22.08,          35.42,  +2.36,  +1.79
  4,     UK0021,       0,  0.160544, 2459436.585565483198, 313.49595,  13.72580,              227.26515,  44.60512,       227.26211,       44.60822,    313.49595,     +13.72580,     313.50011,      +13.72749,  4015696.46, -1065807.00,  4942553.69,      50.136250,       -4.445295,   91192.29,  128906.91,    3802.74,             3728.02,    62.68,  27537.00,           23508.15,     -1.11,     -8.45,          13.64,  +2.16,  +1.61
  5,     UK0021,       0,  0.200704, 2459436.585565948393, 313.60351,  13.46166,              226.95944,  44.42297,       226.94042,       44.44227,    313.60351,     +13.46166,     313.62608,      +13.47218,  4015530.65, -1065219.48,  4941835.19,      50.134283,       -4.438218,   90441.43,  128219.26,    4745.57,             4670.84,   -26.66,  23476.73,           23717.32,     -6.86,    -52.37,          84.97,  +2.17,  +1.63
  6,     UK0021,       0,  0.240844, 2459436.585566412657, 313.74767,  13.20908,              226.61920,  44.26719,       226.61426,       44.27217,    313.74767,     +13.20908,     313.75430,      +13.21180,  4015363.40, -1064626.86,  4941110.43,      50.132298,       -4.431077,   89684.07,  127528.76,    5696.59,             5621.87,  -107.29,  23692.62,           23789.35,     -1.77,    -13.49,          22.00,  +1.98,  +1.45
  7,     UK0021,       0,  0.280988, 2459436.585566877387, 313.88742,  12.95729,              226.28625,  44.10930,       226.29292,       44.10260,    313.88742,     +12.95729,     313.88102,      +12.95363,  4015199.38, -1064045.67,  4940399.67,      50.130351,       -4.424075,   88941.36,  126854.87,    6629.26,             6554.54,  -206.38,  23233.15,           23773.00,      2.37,     18.08,          29.65,  +2.17,  +1.65
  8,     UK0021,       0,  0.321148, 2459436.585567342117, 314.01439,  12.68999,              225.96005,  43.93109,       225.96398,       43.92716,    314.01439,     +12.68999,     314.01128,      +12.68783,  4015032.34, -1063453.80,  4939675.84,      50.128367,       -4.416941,   88185.04,  126171.77,    7579.07,             7504.35,  -288.74,  23650.71,           23757.21,      1.39,     10.58,          17.44,  +1.72,  +1.22
  9,     UK0021,       0,  0.361332, 2459436.585567807313, 314.14361,  12.38848,              225.61088,  43.72286,       225.60156,       43.73210,    314.14361,     +12.38848,     314.15561,      +12.39355,  4014849.50, -1062805.90,  4938883.49,      50.126194,       -4.409114,   87357.18,  125427.29,    8618.79,             8544.07,  -281.80,  25873.89,           23864.75,     -3.25,    -24.82,          41.17,  +1.82,  +1.33
 10,     UK0021,       0,  0.401476, 2459436.585568272043, 314.31009,  12.11633,              225.23782,  43.55659,       225.25276,       43.54185,    314.31009,     +12.11633,     314.29500,      +12.10822,  4014674.31, -1062185.17,  4938124.36,      50.124111,       -4.401622,   86564.06,  124718.12,    9614.92,             9540.20,  -317.43,  24814.00,           23966.54,      5.18,     39.48,          65.85,  +1.87,  +1.39
 11,     UK0021,       0,  0.441628, 2459436.585568736773, 314.43834,  11.85672,              224.92017,  43.38341,       224.93687,       43.36702,    314.43834,     +11.85672,     314.42149,      +11.84769,  4014516.14, -1061624.71,  4937438.95,      50.122230,       -4.394872,   85847.97,  124081.69,   10514.32,            10439.60,  -449.99,  22399.86,           23965.00,      5.75,     43.81,          73.44,  +2.24,  +1.77
 12,     UK0021,       0,  0.481784, 2459436.585569201503, 314.54376,  11.60678,              224.63743,  43.20798,       224.64319,       43.20235,    314.54376,     +11.60678,     314.53935,      +11.60368,  4014369.51, -1061105.15,  4936803.55,      50.120485,       -4.388626,   85184.15,  123494.96,   11348.10,            11273.37,  -648.28,  20763.34,           23858.50,      1.96,     14.99,          25.25,  +2.80,  +2.34
 13,     UK0021,       0,  0.521900, 2459436.585569665767, 314.68805,  11.38600,              224.32762,  43.07519,       224.36123,       43.04247,    314.68805,     +11.38600,     314.65280,      +11.36790,  4014229.18, -1060607.90,  4936195.43,      50.118814,       -4.382654,   84548.85,  122936.25,   12146.07,            12071.35,  -881.35,  19891.66,           23678.33,     11.43,     87.03,         147.27,  +3.27,  +2.82
 14,     UK0021,       1,  0.561972, 2459436.585570129566, 314.87529,  11.20318,              223.99073,  42.99456,       224.09735,       42.89106,    314.87529,     +11.20318,     314.75918,      +11.14573,  4014098.14, -1060143.58,  4935627.60,      50.117254,       -4.377088,   83955.64,  122417.24,   12891.18,            12816.46, -1166.14,  18594.33,           23434.41,     36.29,    274.57,         466.66,  +6.15,  +5.71
  0,     UK0024,       0,  0.121665, 2459436.585565030575, 304.59435,   6.41366,              232.96225,  33.52982,       232.95849,       33.53323,    304.59435,      +6.41366,     304.59932,       +6.41501,  4015883.27, -1066468.94,  4943363.22,      50.138465,       -4.453293,   92038.31,  163857.23,       0.00,             2665.76,    -0.34,      0.00,           25781.34,     -0.25,    -13.23,          16.66,  +3.21,  +2.14
  1,     UK0024,       0,  0.161757, 2459436.585565494373, 304.65822,   6.14977,              232.73664,  33.33433,       232.72256,       33.34703,    304.65822,      +6.14977,     304.67557,       +6.15480,  4015694.37, -1065799.58,  4942544.63,      50.136225,       -4.445208,   91182.82,  163121.28,    1074.16,             3739.92,    43.40,  26792.40,           25781.34,     -0.91,    -49.30,          62.34,  +3.27,  +2.21
  2,     UK0024,       0,  0.201825, 2459436.585565958172, 304.74248,   5.89332,              232.49552,  33.15509,       232.48873,       33.16121,    304.74248,      +5.89332,     304.75136,       +5.89574,  4015507.99, -1065139.17,  4941736.97,      50.134014,       -4.437231,   90338.80,  162398.87,    2133.97,             4799.73,    73.41,  26450.27,           25781.34,     -0.44,    -23.67,          30.07,  +3.58,  +2.53
  3,     UK0024,       0,  0.241893, 2459436.585566421971, 304.81560,   5.65885,              232.27989,  32.98890,       232.27703,       32.99147,    304.81560,      +5.65885,     304.81999,       +5.65987,  4015339.73, -1064542.99,  4941007.87,      50.132017,       -4.430045,   89576.91,  161750.59,    3090.69,             5756.45,     0.33,  23877.51,           25781.34,     -0.18,     -9.93,          12.67,  +2.80,  +1.76
  4,     UK0024,       0,  0.281957, 2459436.585566885769, 304.88910,   5.43567,              232.07135,  32.83236,       232.07545,       32.82869,    304.88910,      +5.43567,     304.88544,       +5.43421,  4015180.04, -1063977.13,  4940315.85,      50.130121,       -4.423233,   88853.79,  161138.44,    3998.76,             6664.52,  -121.30,  22665.44,           24990.27,      0.26,     14.15,          18.12,  +2.84,  +1.80
  5,     UK0024,       0,  0.322013, 2459436.585567349568, 304.96689,   5.21171,              231.85861,  32.67695,       231.87288,       32.66418,    304.96689,      +5.21171,     304.95139,       +5.20662,  4015020.19, -1063410.74,  4939623.19,      50.128223,       -4.416412,   88130.03,  160528.44,    4907.68,             7573.44,  -241.88,  22691.18,           24435.90,      0.92,     49.11,          63.12,  +2.76,  +1.73
  6,     UK0024,       0,  0.362109, 2459436.585567813367, 305.01454,   4.96019,              231.66125,  32.48238,       231.65586,       32.48719,    305.01454,      +4.96019,     305.02241,       +4.96210,  4014849.79, -1062806.95,  4938884.77,      50.126198,       -4.409130,   87358.51,  159880.67,    5876.63,             8542.39,  -303.45,  24165.71,           24208.88,     -0.34,    -18.47,          23.83,  +2.27,  +1.25
  7,     UK0024,       0,  0.402177, 2459436.585568277165, 305.08314,   4.73361,              231.45784,  32.31954,       231.45499,       32.32208,    305.08314,      +4.73361,     305.08818,       +4.73462,  4014692.51, -1062249.63,  4938203.20,      50.124328,       -4.402419,   86646.40,  159286.17,    6770.99,             9436.75,  -438.89,  22321.17,           23957.00,     -0.18,     -9.74,          12.62,  +4.26,  +3.25
  8,     UK0024,       0,  0.442241, 2459436.585568740964, 305.14251,   4.52111,              231.27279,  32.16411,       231.26868,       32.16776,    305.14251,      +4.52111,     305.14921,       +4.52257,  4014546.95, -1061733.89,  4937572.46,      50.122596,       -4.396221,   85987.43,  158739.03,    7598.64,            10264.40,  -640.95,  20658.15,           23619.58,     -0.26,    -13.99,          18.19,  +4.12,  +3.12

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.