Orbital Analysis for matched events on 20210810_225323.891_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 300.53° Bg 70.44° Vg 21.90km/s
mass 0.14274g, abs. mag -0.1
Path Details
------------
start -3.50° 50.44° 95.01km
end   -3.47° 50.44° 83.37km

Orbit Details
-------------
Semimajor axis 3.27A.U., eccentricity 0.70, inclination 33.13°, Period 5.91Y, LA Sun 138.22°, last Perihelion 2015-10-05

Full details below
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Detailed report below graphs

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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: 2459437.453748739325
Time: 2021-08-10 22:53:23.891078 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK000T
 Convergence angle = 75.35815 deg
 R.A. = 287.23071  Dec = +48.88331 deg

Best intersection: Stations UK000H and UK000T with Qconv = 75.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2033051.05 +/- 24.92 m
 Y =  -3595656.14 +/- 32.11 m
 Z =   4967532.71 +/- 31.40 m
 Vx =     4408.21 +/- 125.21 m/s
 Vy =   -15582.94 +/- 25.51 m/s
 Vz =    18463.14 +/- 162.77 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.575448e+02, -5.512811e+02, +4.606906e+02, +2.142109e+03, +1.221633e+03, -1.300554e+03
-5.512811e+02, +1.081439e+03, -2.034407e+02, -1.747493e+03, +1.656085e+03, +1.024759e+03
+4.606906e+02, -2.034407e+02, +1.049642e+03, +1.083139e+03, +3.621159e+03, -5.672541e+02
+2.142109e+03, -1.747493e+03, +1.083139e+03, +8.879440e+03, +6.489086e+03, -5.325143e+03
+1.221633e+03, +1.656085e+03, +3.621159e+03, +6.489086e+03, +2.967571e+04, -3.448351e+03
-1.300554e+03, +1.024759e+03, -5.672541e+02, -5.325143e+03, -3.448351e+03, +3.292320e+03

Timing offsets (from input data):
    UK000H: 0.001005 s
    UK000T: 0.000000 s
    UK0024: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 22:53:23.891078 UTC
  Lon     = +-3.498153 +/- 0.0002 deg
  Lat     = +50.441967 +/- 0.0003 deg
  Lat geo = +50.255667 +/- 0.0003 deg
  Ht      =   95007.88 +/- 38.86 m

  JD dynamic   = 2459437.454549480230 
  LST apparent = 299.4846277652 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 285.79550 +/- 0.4033 deg
  Dec       = +48.74525 +/- 0.2705 deg
  Azimuth   = 264.44846 +/- 1.7114 deg
  Elevation = +80.97956 +/- 0.2842 deg
  Vavg      =  24.24516 +/- 0.0839 km/s
  Vinit     =  24.55907 +/- 0.1153 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 286.83537 +/- 0.4033 deg
  Dec       = +48.86583 +/- 0.2705 deg
  Azimuth   = 263.97827 +/- 1.7114 deg
  Elevation = +81.67134 +/- 0.2842 deg
  Vavg      =  24.19996 +/- 0.0839 km/s
  Vinit     =  24.51387 +/- 0.1153 km/s
Radiant (geocentric, J2000):
  R.A.   = 284.89630 +/- 0.4181 deg
  Dec    = +48.57986 +/- 0.2857 deg
  Vg     =  21.90333 +/- 0.1295 km/s
  Vinf   =  24.55907 +/- 0.1153 km/s
  Zc     =   9.00431 +/- 0.2827 deg
  Zg     =   9.52005 +/- 0.2943 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 300.53455 +/- 0.9008 deg
  Bg     = +70.44277 +/- 0.2579 deg
  Vh     =  38.45694 +/- 0.1748 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 241.18677 +/- 0.1590 deg
  Bh     = +32.46056 +/- 0.0466 deg
  Vh_x   =  15.63874 +/- 0.0834 km/s
  Vh_y   =  28.43120 +/- 0.1444 km/s
  Vh_z   = -20.64057 +/- 0.1082 km/s
Orbit:
  La Sun = 138.224270 +/- 0.0000 deg
  a      =   3.267122 +/- 0.1432 AU
  e      =   0.703247 +/- 0.0145
  i      =  33.133328 +/- 0.0373 deg
  peri   = 206.520546 +/- 0.4191 deg
  node   = 138.230199 +/- 0.0000 deg
  Pi     = 344.750745 +/- 0.4191 deg
  q      =   0.969530 +/- 0.0011 AU
  f      = 333.472535 +/- 0.4191 deg
  M      = 356.614294 +/- 0.3195 deg
  Q      =   5.564715 +/- 0.2860 AU
  n      =   0.166900 +/- 0.0127 deg/day
  T      =   5.905392 +/- 0.3778 years
  Last perihelion JD = 2457300.758242 (2015-10-05 06:11:52.139207) +/- 138.3020 days
  Tj     =   2.536336 +/- 0.0745
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.248128e-04, +5.055861e-06, -2.144971e+00, -1.562539e-09, -7.359334e-05, +7.036437e-06
q   , +5.055861e-06, +1.341430e-06, -5.984546e-02, -1.427041e-10, -8.096902e-06, +6.434155e-07
Tp  , -2.144971e+00, -5.984546e-02, +2.065475e+04, +1.593820e-05, +7.626504e-01, -7.178006e-02
node, -1.562539e-09, -1.427041e-10, +1.593820e-05, +2.291804e-14, +1.076086e-09, -1.033075e-10
peri, -7.359334e-05, -8.096902e-06, +7.626504e-01, +1.076086e-09, +5.789396e-05, -4.849995e-06
i   , +7.036437e-06, +6.434155e-07, -7.178006e-02, -1.033075e-10, -4.849995e-06, +4.656819e-07

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.023921
 a2 = 20.167068

Mean time residuals from time vs. length:
  Station with reference time: UK000T
  Avg. res. = 5.153e-06 s
  Stddev    = 2.27e-03 s

Begin point on the trajectory:
  Lon =    -3.498163 +/- 0.0003 deg
  Lat =    50.441966 +/- 0.0003 deg
  Ht  = 95012.30 +/- 23.14 m
End point on the trajectory:
  Lon =    -3.474664 +/- 0.0007 deg
  Lat =    50.443550 +/- 0.0003 deg
  Ht  = 83373.44 +/- 34.62 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.023763,  20.180931,    92643.38,    83373.44,          0.009537,     23.62,     11.11,              45.78, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_225319_267_0234752.fits"}
    UK000T,   False,    -3.557111,    51.483925,   37.50,  37.796447,   0.000000,    95012.30,    87989.82,          0.015116,     38.90,      0.28,              50.10, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20210810_225319_327_0220416.fits"}
    UK0024,    True,    -2.949770,    50.877440,   82.00,  10.399462,   7.522184,    93056.76,    83640.93,          0.098380,       nan,       nan,              27.88, 0.0000,    True,    True, {"ff_name": "FF_UK0024_20210810_225316_983_0231168.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,     UK000H,       0,  0.090899, 2459437.453749779612, 248.13594,  15.23616,              249.80178,  34.73499,       249.81951,       34.73410,    248.13594,     +15.23616,     248.12384,      +15.24441,  2032621.33, -3594137.06,  4965732.87,      50.442289,       -3.493345,   92643.38,  160215.86,       0.00,             2394.09,     1.34,      0.00,           24511.49,    -17.37,    -36.94,          52.55,  +3.72,  +2.70
  1,     UK000H,       0,  0.131091, 2459437.453750244807, 247.98338,  15.04236,              249.79854,  34.49160,       249.80378,       34.49134,    247.98338,     +15.04236,     247.98023,      +15.04480,  2032452.46, -3593540.12,  4965025.59,      50.442415,       -3.491474,   91714.19,  159566.66,     940.80,             3334.89,   -44.94,  23407.55,           24511.49,     -5.12,    -10.89,          15.56,  +2.83,  +1.82
  2,     UK000H,       0,  0.171319, 2459437.453750710469, 247.82361,  14.80245,              249.76813,  34.20741,       249.78509,       34.20657,    247.82361,     +14.80245,     247.81232,      +14.81038,  2032255.85, -3592845.09,  4964202.09,      50.442562,       -3.489268,   90632.31,  158812.93,    2036.18,             4430.28,    62.48,  27229.51,           24511.49,    -16.58,    -35.25,          50.59,  +2.71,  +1.71
  3,     UK000H,       0,  0.211495, 2459437.453751175199, 247.67342,  14.62026,              249.77208,  33.97442,       249.77036,       33.97451,    247.67342,     +14.62026,     247.67552,      +14.61945,  2032097.30, -3592284.61,  4963538.02,      50.442681,       -3.487521,   89759.86,  158209.76,    2919.51,             5313.60,   -40.88,  21986.42,           24511.49,      1.68,      3.57,           5.14,  +2.18,  +1.18
  4,     UK000H,       0,  0.251715, 2459437.453751640860, 247.51973,  14.39056,              249.74461,  33.70169,       249.75277,       33.70129,    247.51973,     +14.39056,     247.51497,      +14.39439,  2031911.89, -3591629.22,  4962761.49,      50.442820,       -3.485449,   88739.65,  157506.22,    3952.43,             6346.52,     4.27,  25681.67,           24583.91,     -7.96,    -16.93,          24.49,  +2.00,  +1.01
  5,     UK000H,       0,  0.291923, 2459437.453752106056, 247.36460,  14.17666,              249.73055,  33.44051,       249.73617,       33.44023,    247.36460,     +14.17666,     247.36181,      +14.17931,  2031736.36, -3591008.70,  4962026.28,      50.442951,       -3.483496,   87773.73,  156843.94,    4930.37,             7324.46,    -5.25,  24322.14,           24567.20,     -5.48,    -11.65,          16.93,  +1.88,  +0.90
  6,     UK000H,       0,  0.332127, 2459437.453752571251, 247.19967,  13.96304,              249.72613,  33.17366,       249.71933,       33.17399,    247.19967,     +13.96304,     247.20592,      +13.95984,  2031558.83, -3590381.14,  4961282.73,      50.443084,       -3.481518,   86796.83,  156177.37,    5919.42,             8313.51,    -3.58,  24600.69,           24564.82,      6.61,     14.06,          20.52,  +1.70,  +0.73
  7,     UK000H,       0,  0.372331, 2459437.453753036913, 247.04974,  13.75025,              249.70894,  32.91624,       249.70322,       32.91652,    247.04974,     +13.75025,     247.05539,      +13.74755,  2031388.64, -3589779.53,  4960569.92,      50.443211,       -3.479628,   85860.30,  155541.94,    6867.58,             9261.67,   -42.80,  23583.64,           24482.06,      5.56,     11.81,          17.31,  +2.09,  +1.13
  8,     UK000H,       0,  0.412547, 2459437.453753502108, 246.90554,  13.52237,              249.67601,  32.65015,       249.68656,       32.64963,    246.90554,     +13.52237,     246.89968,      +13.52736,  2031213.63, -3589160.87,  4959836.92,      50.443342,       -3.477679,   84897.22,  154891.54,    7842.60,            10236.69,   -55.44,  24244.66,           24427.61,    -10.24,    -21.77,          32.04,  +1.81,  +0.86
  9,     UK000H,       0,  0.452715, 2459437.453753967304, 246.77982,  13.34553,              249.66343,  32.43542,       249.67365,       32.43491,    246.77982,     +13.34553,     246.77435,      +13.35037,  2031074.19, -3588667.96,  4959252.90,      50.443447,       -3.476160,   84129.86,  154377.64,    8619.43,            11013.53,  -265.09,  19339.67,           24122.65,     -9.91,    -21.07,          31.10,  +3.16,  +2.22
 10,     UK000H,       0,  0.492875, 2459437.453754432034, 246.63358,  13.18425,              249.68108,  32.22082,       249.66094,       32.22182,    246.63358,     +13.18425,     246.65015,      +13.17468,  2030936.75, -3588182.09,  4958677.23,      50.443550,       -3.474664,   83373.44,  153873.34,    9385.18,            11779.27,  -485.64,  19067.39,           23726.81,     19.51,     41.48,          61.44,  +3.83,  +2.89
  0,     UK000T,       0,  0.000000, 2459437.453748739325, 301.04518,   0.08309,              177.92812,  38.58093,       177.93102,       38.58046,    301.04518,      +0.08309,     301.04293,       +0.08257,  2033051.86, -3595658.97,  4967536.07,      50.441966,       -3.498163,   95012.30,  150579.13,       0.00,                4.47,  -155.89,      0.00,           26192.51,     -0.04,      6.07,           8.31,  +4.39,  +3.50
  1,     UK000T,       0,  0.040400, 2459437.453749206848, 301.08941,  -0.21523,              177.88034,  38.28168,       177.85889,       38.28516,    301.08941,      -0.21523,     301.10634,       -0.21137,  2032867.99, -3595009.01,  4966765.97,      50.442104,       -3.496114,   94000.61,  149928.06,    1024.35,             1019.89,  -132.66,  25355.32,           26192.51,      0.31,    -44.98,          61.89,  +4.77,  +3.89
  2,     UK000T,       0,  0.080816, 2459437.453749674838, 301.16528,  -0.52919,              177.79331,  37.96602,       177.78169,       37.96790,    301.16528,      -0.52919,     301.17473,       -0.52709,  2032672.25, -3594317.08,  4965946.16,      50.442250,       -3.493921,   92923.59,  149239.54,    2114.85,             2110.38,   -34.74,  26981.74,           26192.51,      0.17,    -24.36,          33.67,  +3.62,  +2.75
  3,     UK000T,       0,  0.121224, 2459437.453750142362, 301.22823,  -0.83658,              177.72314,  37.65719,       177.70756,       37.65971,    301.22823,      -0.83658,     301.24101,       -0.83375,  2032483.84, -3593651.05,  4965157.03,      50.442391,       -3.491816,   91886.87,  148581.29,    3164.53,             3160.06,    22.55,  25976.96,           26192.51,      0.23,    -32.65,          45.32,  +2.59,  +1.73
  4,     UK000T,       0,  0.161572, 2459437.453750609420, 301.29890,  -1.09985,              177.64243,  37.39222,       177.64445,       37.39189,    301.29890,      -1.09985,     301.29798,       -1.10022,  2032321.47, -3593077.05,  4964476.93,      50.442513,       -3.490024,   90993.38,  148017.53,    4069.17,             4064.70,   -63.71,  22421.01,           25444.10,     -0.03,      4.23,           5.90,  +1.99,  +1.14
  5,     UK000T,       0,  0.201996, 2459437.453751077410, 301.35098,  -1.41996,              177.58748,  37.07087,       177.56906,       37.07385,    301.35098,      -1.41996,     301.36644,       -1.41659,  2032130.27, -3592401.16,  4963676.12,      50.442656,       -3.487884,   89941.29,  147358.11,    5134.38,             5129.91,     8.72,  26350.98,           25359.72,      0.27,    -38.57,          53.99,  +3.13,  +2.29
  6,     UK000T,       0,  0.282792, 2459437.453752012458, 301.46525,  -2.01736,              177.46500,  36.47062,       177.42998,       36.47629,    301.46525,      -2.01736,     301.49444,       -2.01091,  2031775.63, -3591147.52,  4962190.76,      50.442922,       -3.483937,   87989.82,  146147.51,    7110.15,             7105.68,     0.22,  24453.84,           25128.11,      0.53,    -73.26,         103.40,  +5.31,  +4.49
  0,     UK0024,       1,  0.079496, 2459437.453749659471, 278.00053,  21.46690,              218.53509,  55.91841,       218.70059,       55.89516,    278.00053,     +21.46690,     277.89997,      +21.48510,  2032696.46, -3594402.64,  4966047.52,      50.442232,       -3.494208,   93056.76,  111920.54,       0.00,             1975.54,  -137.16,      0.00,           24438.05,    -48.54,   -180.40,         344.29,  +2.91,  +2.67
  1,     UK0024,       1,  0.159772, 2459437.453750588465, 277.89243,  20.96068,              218.31960,  55.41676,       218.50048,       55.39136,    277.89243,     +20.96068,     277.78186,      +20.98075,  2032319.92, -3593071.57,  4964470.43,      50.442514,       -3.489998,   90984.84,  110080.61,    2097.80,             4073.34,   -10.87,  26132.30,           24438.05,    -52.82,   -196.28,         380.86,  +2.30,  +2.09
  2,     UK0024,       1,  0.199904, 2459437.453751053195, 277.84017,  20.73007,              218.22810,  55.18686,       218.41183,       55.16108,    277.84017,     +20.73007,     277.72757,      +20.75054,  2032152.21, -3592478.75,  4963768.04,      50.442640,       -3.488141,   90062.06,  109264.54,    3032.09,             5007.64,   -62.18,  23280.56,           24438.05,    -53.55,   -198.97,         388.97,  +1.85,  +1.66
  3,     UK0024,       1,  0.240048, 2459437.453751517460, 277.75407,  20.51799,              218.20154,  54.96050,       218.32935,       54.94262,    277.75407,     +20.51799,     277.67588,      +20.53236,  2031995.60, -3591925.12,  4963112.08,      50.442757,       -3.486416,   89200.25,  108504.36,    3904.63,             5880.17,  -175.54,  21735.20,           24438.05,    -37.25,   -138.12,         271.95,  +1.51,  +1.33
  4,     UK0024,       1,  0.280188, 2459437.453751982190, 277.71933,  20.23792,              218.05091,  54.69222,       218.22452,       54.66789,    277.71933,     +20.23792,     277.61241,      +20.25747,  2031801.22, -3591237.99,  4962297.95,      50.442902,       -3.484235,   88130.64,  107562.21,    4987.56,             6963.11,   -78.41,  26978.87,           24554.29,    -50.43,   -187.20,         371.78,  +1.03,  +0.87
  5,     UK0024,       1,  0.320332, 2459437.453752446920, 277.65199,  19.99888,              217.97956,  54.44844,       218.13504,       54.42668,    277.65199,     +19.99888,     277.55613,      +20.01650,  2031633.67, -3590645.71,  4961596.20,      50.443028,       -3.482378,   87208.65,  106752.78,    5921.01,             7896.55,  -130.86,  23252.50,           24447.76,    -45.12,   -167.32,         334.83,  +1.07,  +0.93
  6,     UK0024,       1,  0.360472, 2459437.453752911650, 277.60732,  19.72798,              217.85371,  54.18432,       218.03598,       54.15879,    277.60732,     +19.72798,     277.49437,      +19.74870,  2031450.36, -3589997.71,  4960828.43,      50.443165,       -3.480329,   86199.93,  105869.11,    6942.27,             8917.81,   -95.40,  25442.44,           24493.02,    -52.75,   -195.73,         394.94,  +0.85,  +0.73
  7,     UK0024,       1,  0.400648, 2459437.453753376380, 277.49505,  19.49455,              217.85448,  53.92805,       217.94803,       53.91501,    277.49505,     +19.49455,     277.43777,      +19.50531,  2031286.44, -3589418.24,  4960141.86,      50.443288,       -3.478514,   85297.86,  105081.42,    7855.52,             9831.06,  -168.84,  22731.17,           24385.78,    -27.09,   -100.23,         203.81,  +1.04,  +0.93
  8,     UK0024,       1,  0.440764, 2459437.453753840644, 277.48297,  19.23192,              217.68990,  53.68380,       217.85699,       53.66044,    277.48297,     +19.23192,     277.37902,      +19.25112,  2031117.82, -3588822.18,  4959435.63,      50.443414,       -3.476642,   84369.95,  104273.12,    8794.93,            10770.47,  -214.64,  23417.42,           24274.20,    -48.21,   -178.71,         366.14,  +1.60,  +1.51
  9,     UK0024,       1,  0.480872, 2459437.453754304908, 277.45265,  19.02606,              217.59252,  53.48416,       217.78717,       53.45691,    277.45265,     +19.02606,     277.33100,      +19.04847,  2030985.35, -3588353.91,  4958880.80,      50.443513,       -3.475207,   83640.93,  103640.53,    9532.94,            11508.48,  -461.65,  18400.52,           23922.16,    -56.05,   -207.87,         428.48,  +3.84,  +3.76

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.