Orbital Analysis for matched events on 20210810_005431.942_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 301.24° Bg 72.60° Vg 20.75km/s
mass 0.04227g, abs. mag 0.9
Path Details
------------
start -3.48° 50.79° 92.75km
end   -3.44° 50.78° 85.55km

Orbit Details
-------------
Semimajor axis 2.53A.U., eccentricity 0.61, inclination 32.48°, Period 4.02Y, LA Sun 137.35°, last Perihelion 2017-08-23

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: 2459436.537869700231
Time: 2021-08-10 00:54:31.969861 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003H
 Convergence angle = 48.78720 deg
 R.A. = 286.67893  Dec = +50.38772 deg

Best intersection: Stations UK000H and UK003H with Qconv = 48.79 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3509165.38 +/- 28.43 m
 Y =  -2118597.53 +/- 166.94 m
 Z =   4990541.78 +/- 109.74 m
 Vx =     4278.94 +/- 291.68 m/s
 Vy =   -14118.35 +/- 166.20 m/s
 Vz =    18345.01 +/- 884.23 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.288417e+02, -2.538478e+03, +1.323833e+03, +2.084387e+03, -6.513700e+03, +1.961122e+03
-2.538478e+03, +2.715368e+04, -1.524253e+04, -6.401597e+03, +1.155982e+05, -4.751620e+04
+1.323833e+03, -1.524253e+04, +1.140016e+04, -1.233763e+03, -4.794204e+04, +2.169048e+04
+2.084387e+03, -6.401597e+03, -1.233763e+03, +1.841295e+04, -4.977636e+04, +1.300304e+04
-6.513700e+03, +1.155982e+05, -4.794204e+04, -4.977636e+04, +7.266405e+05, -2.925595e+05
+1.961122e+03, -4.751620e+04, +2.169048e+04, +1.300304e+04, -2.925595e+05, +1.212689e+05

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK003H: -0.000248 s

Reference point on the trajectory:
  Time: 2021-08-10 00:54:31.969861 UTC
  Lon     = +-3.484480 +/- 0.0019 deg
  Lat     = +50.787077 +/- 0.0004 deg
  Lat geo = +50.601151 +/- 0.0004 deg
  Ht      =   92795.10 +/- 143.89 m

  JD dynamic   = 2459436.538670762442 
  LST apparent = 328.8792508740 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 286.86081 +/- 0.7402 deg
  Dec       = +51.19476 +/- 0.9333 deg
  Azimuth   = 287.45962 +/- 1.6461 deg
  Elevation = +63.91292 +/- 0.7277 deg
  Vavg      =  23.24296 +/- 0.6260 km/s
  Vinit     =  23.54096 +/- 0.8128 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 287.73507 +/- 0.7402 deg
  Dec       = +51.57303 +/- 0.9333 deg
  Azimuth   = 287.97005 +/- 1.6461 deg
  Elevation = +64.53865 +/- 0.7277 deg
  Vavg      =  23.11915 +/- 0.6260 km/s
  Vinit     =  23.41714 +/- 0.8128 km/s
Radiant (geocentric, J2000):
  R.A.   = 284.17667 +/- 0.6246 deg
  Dec    = +50.69358 +/- 0.9529 deg
  Vg     =  20.75427 +/- 0.9051 km/s
  Vinf   =  23.54096 +/- 0.8128 km/s
  Zc     =  26.14342 +/- 0.7233 deg
  Zg     =  27.81717 +/- 0.6602 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 301.24363 +/- 1.8215 deg
  Bg     = +72.59557 +/- 0.8476 deg
  Vh     =  37.40663 +/- 0.8411 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 238.70296 +/- 0.7024 deg
  Bh     = +31.96877 +/- 0.5049 deg
  Vh_x   =  16.48472 +/- 0.1399 km/s
  Vh_y   =  27.11576 +/- 0.6391 km/s
  Vh_z   = -19.80520 +/- 0.7482 km/s
Orbit:
  La Sun = 137.345470 +/- -0.0000 deg
  a      =   2.527817 +/- 2.4257 AU
  e      =   0.613727 +/- 0.0727
  i      =  32.479316 +/- 0.5804 deg
  peri   = 205.409378 +/- 0.5079 deg
  node   = 137.352029 +/- 0.0001 deg
  Pi     = 342.761407 +/- 0.5080 deg
  q      =   0.976428 +/- 0.0021 AU
  f      = 334.583919 +/- 0.5080 deg
  M      = 355.074012 +/- 1.0725 deg
  Q      =   4.079206 +/- 4.8523 AU
  n      =   0.245237 +/- 0.0527 deg/day
  T      =   4.019010 +/- 9.9782 years
  Last perihelion JD = 2457988.656450 (2017-08-23 03:45:17.292443) +/- 3645.1088 days
  Tj     =   2.987155 +/- 0.3749
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.133640e-03, -1.086142e-04, -1.693120e+02, -1.492489e-07, -2.754556e-04, +7.295174e-04
q   , -1.086142e-04, +4.592308e-06, +2.733758e+00, +3.347144e-09, -6.278671e-06, -1.629882e-05
Tp  , -1.693120e+02, +2.733758e+00, +9.013639e+06, +4.541399e-03, +1.183792e+01, -2.251909e+01
node, -1.492489e-07, +3.347144e-09, +4.541399e-03, +4.390291e-12, +7.202387e-09, -2.141574e-08
peri, -2.754556e-04, -6.278671e-06, +1.183792e+01, +7.202387e-09, +7.980995e-05, -3.530339e-05
i   , +7.295174e-04, -1.629882e-05, -2.251909e+01, -2.141574e-08, -3.530339e-05, +1.045178e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 2.841e-05 s
  Stddev    = 5.33e-03 s

Begin point on the trajectory:
  Lon =    -3.484175 +/- 0.0016 deg
  Lat =    50.787016 +/- 0.0003 deg
  Ht  = 92748.42 +/- 98.78 m
End point on the trajectory:
  Lon =    -3.438550 +/- 0.0019 deg
  Lat =    50.777630 +/- 0.0004 deg
  Ht  = 85553.34 +/- 110.54 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,   0.000000,  82.114646,    92735.31,    85553.34,          0.025626,     61.46,     24.12,              26.71, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_005425_468_0413440.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   3.552750,   0.000000,    92748.42,    86606.94,          0.033751,     79.75,     10.63,              35.93, 1.0000,    True,    True, {"ff_name": "FF_UK003H_20210810_005428_718_0410112.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,  0.000000, 2459436.537869700231, 267.83325,  25.98472,              266.94705,  36.84132,       266.92959,       36.84631,    267.83325,     +25.98472,     267.84812,      +25.97848,  3509153.27, -2118557.60,  4990489.90,      50.786999,       -3.483974,   92735.31,  152690.88,       0.00,               66.58,    40.62,      0.00,           23564.11,     14.45,     36.83,          53.44,  +5.01,  +4.09
  1,     UK000H,       0,  0.040120, 2459436.537870164495, 267.77810,  25.85131,              266.87450,  36.71138,       266.87144,       36.71226,    267.77810,     +25.85131,     267.78077,      +25.85022,  3509014.91, -2118101.05,  4989896.68,      50.786109,       -3.479677,   92051.63,  152035.46,     761.25,              827.82,  -142.60,  18974.27,           23564.11,      2.52,      6.42,           9.36,  +3.32,  +2.41
  2,     UK000H,       0,  0.080296, 2459436.537870629691, 267.71640,  25.65748,              266.75495,  36.53404,       266.78955,       36.52412,    267.71640,     +25.65748,     267.68687,      +25.66983,  3508821.64, -2117463.36,  4989068.08,      50.784865,       -3.473609,   91096.70,  151117.83,    1824.53,             1891.10,   -25.10,  26465.58,           23564.11,    -28.42,    -72.49,         106.28,  +3.20,  +2.30
  3,     UK000H,       0,  0.120448, 2459436.537871094421, 267.62123,  25.49328,              266.68869,  36.35658,       266.71399,       36.34933,    267.62123,     +25.49328,     267.59985,      +25.50232,  3508644.45, -2116878.73,  4988308.43,      50.783724,       -3.468058,   90221.24,  150278.94,    2799.34,             2865.92,     4.49,  24278.01,           23564.11,    -20.71,    -52.82,          77.87,  +2.53,  +1.65
  4,     UK000H,       0,  0.160600, 2459436.537871559151, 267.49555,  25.33091,              266.64906,  36.16106,       266.63469,       36.16517,    267.49555,     +25.33091,     267.50847,      +25.32577,  3508459.80, -2116269.47,  4987516.77,      50.782534,       -3.462265,   89308.91,  149405.99,    3815.22,             3881.80,    75.16,  25300.99,           24079.58,     11.72,     29.86,          44.29,  +2.34,  +1.47
  5,     UK000H,       0,  0.200764, 2459436.537872023880, 267.41711,  25.15335,              266.55898,  35.98425,       266.55742,       35.98470,    267.41711,     +25.15335,     267.41919,      +25.15279,  3508281.06, -2115679.71,  4986750.46,      50.781382,       -3.456661,   88425.80,  148562.94,    4798.59,             4865.17,   113.03,  24483.74,           24284.61,      1.27,      3.25,           4.84,  +2.02,  +1.16
  6,     UK000H,       0,  0.240900, 2459436.537872488145, 267.33309,  25.00817,              266.50178,  35.82702,       266.49168,       35.82990,    267.33309,     +25.00817,     267.34268,      +25.00455,  3508129.79, -2115180.62,  4986101.94,      50.780407,       -3.451944,   87678.45,  147852.24,    5630.78,             5697.36,     0.38,  20734.36,           23977.62,      8.18,     20.86,          31.25,  +1.94,  +1.09
  7,     UK000H,       0,  0.281052, 2459436.537872952875, 267.22162,  24.84164,              266.44882,  35.63701,       266.41405,       35.64692,    267.22162,     +24.84164,     267.25267,      +24.82915,  3507952.42, -2114595.37,  4985341.49,      50.779262,       -3.446382,   86802.12,  147018.77,    6606.62,             6673.19,    31.00,  24303.52,           23876.85,     28.07,     71.53,         107.80,  +2.29,  +1.45
  8,     UK000H,       0,  0.321196, 2459436.537873417605, 267.10710,  24.69190,              266.41315,  35.45703,       266.34248,       35.47712,    267.10710,     +24.69190,     267.16931,      +24.66646,  3507789.87, -2114059.04,  4984644.59,      50.778213,       -3.441297,   85999.02,  146257.23,    7500.91,             7567.48,   -19.74,  22277.04,           23723.19,     56.88,    144.86,         219.48,  +3.47,  +2.64
  9,     UK000H,       0,  0.361292, 2459436.537873881869, 267.10779,  24.57990,              266.31735,  35.37673,       266.30279,       35.38088,    267.10779,     +24.57990,     267.12176,      +24.57467,  3507699.67, -2113761.43,  4984257.89,      50.777630,       -3.438550,   85553.34,  145839.52,    7997.14,             8063.71,  -467.41,  12376.07,           23026.99,     11.69,     29.80,          45.27,  +5.15,  +4.33
  0,     UK003H,       0,  0.007192, 2459436.537870021537, 293.56518,  13.30945,              230.99574,  41.97280,       230.90404,       42.02353,    293.56518,     +13.30945,     293.65187,      +13.31947,  3509155.93, -2118566.35,  4990501.28,      50.787016,       -3.484175,   92748.42,  137102.35,       0.00,               51.98,  -143.28,      0.00,           23754.44,     26.89,   -201.50,         305.84,  +5.44,  +4.75
  1,     UK003H,       0,  0.047304, 2459436.537870485801, 293.66033,  12.99843,              230.68017,  41.74901,       230.65211,       41.76453,    293.66033,     +12.99843,     293.68705,      +13.00153,  3508933.09, -2117831.11,  4989545.93,      50.785583,       -3.477154,   91647.40,  136148.75,    1225.94,             1277.92,   138.39,  30562.83,           23754.44,      8.15,    -61.37,          93.80,  +3.13,  +2.46
  2,     UK003H,       0,  0.087396, 2459436.537870949600, 293.70026,  12.78911,              230.49622,  41.58639,       230.48737,       41.59127,    293.70026,     +12.78911,     293.70897,      +12.79009,  3508786.76, -2117348.29,  4988918.56,      50.784641,       -3.472599,   90924.38,  135527.15,    2031.00,             2082.98,    -0.36,  20080.40,           23754.44,      2.56,    -19.28,          29.61,  +3.09,  +2.43
  3,     UK003H,       0,  0.127524, 2459436.537871414330, 293.70804,  12.55482,              230.33315,  41.38632,       230.30692,       41.40078,    293.70804,     +12.55482,     293.73338,      +12.55772,  3508627.44, -2116822.61,  4988235.50,      50.783615,       -3.467625,   90137.19,  134851.93,    2907.52,             2959.50,   -68.49,  21843.10,           23754.44,      7.57,    -56.97,          87.91,  +2.69,  +2.04
  4,     UK003H,       0,  0.167640, 2459436.537871878594, 293.75568,  12.29161,              230.10712,  41.17994,       230.10140,       41.18309,    293.75568,     +12.29161,     293.76177,      +12.29225,  3508447.30, -2116228.23,  4987463.18,      50.782454,       -3.461977,   89247.15,  134090.30,    3898.59,             3950.57,   -21.78,  24705.18,           23630.98,      1.64,    -12.37,          19.19,  +2.11,  +1.47
  5,     UK003H,       0,  0.207748, 2459436.537872342858, 293.79747,  12.05119,              229.90376,  40.99027,       229.91545,       40.98384,    293.79747,     +12.05119,     293.78722,      +12.04989,  3508284.65, -2115691.57,  4986765.86,      50.781405,       -3.456892,   88443.54,  133405.80,    4793.42,             4845.40,   -71.14,  22310.37,           23407.07,     -3.34,     25.21,          39.31,  +2.39,  +1.76
  6,     UK003H,       0,  0.247904, 2459436.537872807588, 293.81706,  11.75673,              229.69184,  40.74249,       229.69111,       40.74289,    293.81706,     +11.75673,     293.81876,      +11.75681,  3508090.08, -2115049.58,  4985931.68,      50.780151,       -3.450776,   87482.24,  132588.84,    5863.87,             5915.85,    54.00,  26657.34,           23675.75,      0.21,     -1.57,           2.47,  +1.70,  +1.09
  7,     UK003H,       0,  0.288024, 2459436.537873271853, 293.86661,  11.48912,              229.46479,  40.53206,       229.48626,       40.52030,    293.86661,     +11.48912,     293.84740,      +11.48674,  3507912.91, -2114465.02,  4985172.12,      50.779007,       -3.445220,   86606.94,  131848.63,    6838.56,             6890.54,    84.23,  24294.52,           23839.23,     -6.09,     45.89,          72.42,  +2.45,  +1.85

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.