Orbital Analysis for matched events on 20210816_230722.531_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 297.65° Bg 69.79° Vg 21.37km/s
mass 0.01567g, abs. mag 1.9
Path Details
------------
start -0.13° 51.73° 95.26km
end   -0.09° 51.73° 85.24km

Orbit Details
-------------
Semimajor axis 3.80A.U., eccentricity 0.74, inclination 31.53°, Period 7.41Y, LA Sun 144.00°, last Perihelion 2014-04-06

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: 2459443.463455227669
Time: 2021-08-16 23:07:22.531671 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002C
 Convergence angle = 21.99294 deg
 R.A. = 288.63643  Dec = +49.26355 deg

Best intersection: Stations UK000C and UK002C with Qconv = 21.99 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2702134.57 +/- 121.60 m
 Y =  -2973070.62 +/- 51.77 m
 Z =   5059089.61 +/- 250.73 m
 Vx =     4268.36 +/- 456.46 m/s
 Vy =   -15510.77 +/- 250.95 m/s
 Vz =    17926.88 +/- 798.10 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.327433e+04, +1.032410e+03, +2.389630e+04, +4.849124e+04, +2.440190e+04, +7.446633e+04
+1.032410e+03, +2.602271e+03, +2.837010e+03, +2.108210e+03, +3.975227e+03, +1.102305e+04
+2.389630e+04, +2.837010e+03, +5.215351e+04, +8.307726e+04, +5.117479e+04, +1.563156e+05
+4.849124e+04, +2.108210e+03, +8.307726e+04, +2.148758e+05, +1.034804e+05, +3.134873e+05
+2.440190e+04, +3.975227e+03, +5.117479e+04, +1.034804e+05, +6.194429e+04, +1.851638e+05
+7.446633e+04, +1.102305e+04, +1.563156e+05, +3.134873e+05, +1.851638e+05, +5.616268e+05

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK002C: 0.004638 s

Reference point on the trajectory:
  Time: 2021-08-16 23:07:22.531671 UTC
  Lon     = +-0.133752 +/- 0.0015 deg
  Lat     = +51.730575 +/- 0.0010 deg
  Lat geo = +51.546053 +/- 0.0010 deg
  Ht      =   95224.68 +/- 238.13 m

  JD dynamic   = 2459443.464255968574 
  LST apparent = 312.2667570553 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 285.38619 +/- 1.8384 deg
  Dec       = +48.09560 +/- 1.4733 deg
  Azimuth   = 268.72090 +/- 3.6676 deg
  Elevation = +72.41925 +/- 1.6234 deg
  Vavg      =  23.57552 +/- 0.4827 km/s
  Vinit     =  24.08684 +/- 0.5217 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 286.32450 +/- 1.8384 deg
  Dec       = +48.32715 +/- 1.4733 deg
  Azimuth   = 268.66723 +/- 3.6676 deg
  Elevation = +73.08582 +/- 1.6234 deg
  Vavg      =  23.48868 +/- 0.4827 km/s
  Vinit     =  24.00000 +/- 0.5217 km/s
Radiant (geocentric, J2000):
  R.A.   = 283.77396 +/- 1.9645 deg
  Dec    = +47.67144 +/- 1.5909 deg
  Vg     =  21.37238 +/- 0.5858 km/s
  Vinf   =  24.08684 +/- 0.5217 km/s
  Zc     =  17.57757 +/- 1.6128 deg
  Zg     =  18.63544 +/- 1.7532 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 297.65201 +/- 5.0064 deg
  Bg     = +69.79031 +/- 1.1308 deg
  Vh     =  38.97469 +/- 0.1850 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 246.00716 +/- 0.4413 deg
  Bh     = +30.97121 +/- 1.3655 deg
  Vh_x   =  13.58847 +/- 0.4662 km/s
  Vh_y   =  30.53048 +/- 0.5053 km/s
  Vh_z   = -20.05666 +/- 0.6933 km/s
Orbit:
  La Sun = 143.996180 +/- -0.0000 deg
  a      =   3.801805 +/- 0.2122 AU
  e      =   0.743635 +/- 0.0152
  i      =  31.533106 +/- 1.4171 deg
  peri   = 204.158212 +/- 0.8717 deg
  node   = 144.002518 +/- 0.0003 deg
  Pi     = 348.160730 +/- 0.8714 deg
  q      =   0.974649 +/- 0.0024 AU
  f      = 335.834795 +/- 0.8715 deg
  M      = 357.562904 +/- 0.3384 deg
  Q      =   6.628961 +/- 0.4226 AU
  n      =   0.132960 +/- 0.0126 deg/day
  T      =   7.412854 +/- 0.6066 years
  Last perihelion JD = 2456754.201936 (2014-04-06 16:50:47.264729) +/- 222.1870 days
  Tj     =   2.343017 +/- 0.0648
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.149166e-04, +3.096295e-05, -3.152021e+00, +7.268717e-08, -2.062019e-04, -3.247220e-04
q   , +3.096295e-05, +6.921770e-06, -4.609432e-01, +9.077703e-09, -4.296973e-05, -4.050655e-05
Tp  , -3.152021e+00, -4.609432e-01, +4.635496e+04, -1.054009e-03, +3.060335e+00, +4.700894e+00
node, +7.268717e-08, +9.077703e-09, -1.054009e-03, +2.674549e-11, -6.228292e-08, -1.201038e-07
peri, -2.062019e-04, -4.296973e-05, +3.060335e+00, -6.228292e-08, +2.693502e-04, +2.780710e-04
i   , -3.247220e-04, -4.050655e-05, +4.700894e+00, -1.201038e-07, +2.780710e-04, +5.399729e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.013369
 a2 = 23.653668

Mean time residuals from time vs. length:
  Station with reference time: UK000C
  Avg. res. = 8.324e-06 s
  Stddev    = 2.89e-03 s

Begin point on the trajectory:
  Lon =    -0.133912 +/- 0.0015 deg
  Lat =    51.730573 +/- 0.0010 deg
  Ht  = 95259.94 +/- 220.56 m
End point on the trajectory:
  Lon =    -0.090436 +/- 0.0017 deg
  Lat =    51.731192 +/- 0.0008 deg
  Ht  = 85241.64 +/- 196.12 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.014459,  23.406031,    95259.94,    85241.64,          0.036525,     68.61,     23.77,              46.10, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210816_230719_459_0280832.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,    92268.53,    85965.69,          0.021878,     53.71,     24.17,              66.79, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210816_230721_657_0274432.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,     UK000C,       0,  0.000000, 2459443.463455227669,  18.14903,  66.97562,               38.29767,  54.64434,        38.17074,       54.62010,     18.14903,     +66.97562,      18.23455,      +67.04533,  2702141.13, -2973094.44,  5059117.14,      51.730573,       -0.133912,   95259.94,  116336.42,       0.00,               36.99,  -220.82,      0.00,           26049.88,    -51.48,   -148.42,         278.52,  +5.40,  +5.07
  1,     UK000C,       0,  0.040464, 2459443.463455696125,  19.45589,  66.74485,               38.56438,  54.10317,        38.46540,       54.08430,     19.45589,     +66.74485,      19.52562,      +66.79928,  2701868.00, -2972101.90,  5057970.00,      51.730664,       -0.127442,   93790.63,  115301.40,    1541.32,             1504.33,   271.86,  38091.09,           26049.88,    -40.23,   -116.05,         219.72,  +3.41,  +3.10
  2,     UK000C,       0,  0.080760, 2459443.463456162717,  20.31580,  66.65154,               38.62731,  53.75240,        38.64025,       53.75487,     20.31580,     +66.65154,      20.30632,      +66.64441,  2701702.04, -2971498.83,  5057272.98,      51.730720,       -0.123574,   92897.86,  114676.31,    2477.84,             2440.85,   237.78,  23241.06,           26049.88,      5.26,     15.20,          28.94,  +3.92,  +3.62
  3,     UK000C,       0,  0.120976, 2459443.463456627913,  20.89261,  66.52172,               38.77540,  53.50406,        38.77048,       53.50312,     20.89261,     +66.52172,      20.89632,      +66.52442,  2701576.14, -2971041.35,  5056744.24,      51.730762,       -0.120680,   92220.61,  114203.87,    3188.27,             3151.27,   -20.47,  17665.25,           26049.88,     -2.00,     -5.78,          11.06,  +3.07,  +2.78
  4,     UK000C,       0,  0.161316, 2459443.463457094971,  21.81101,  66.34872,               38.94389,  53.11087,        38.97074,       53.11598,     21.81101,     +66.34872,      21.79086,      +66.33392,  2701385.44, -2970348.36,  5055943.31,      51.730826,       -0.116209,   91194.74,  113495.14,    4264.41,             4227.42,    84.01,  26676.77,           25244.41,     10.95,     31.65,          60.87,  +2.65,  +2.38
  5,     UK000C,       0,  0.201600, 2459443.463457561098,  22.56141,  66.18063,               39.11476,  52.78090,        39.13790,       52.78530,     22.56141,     +66.18063,      22.54386,      +66.16788,  2701224.31, -2969762.83,  5055266.57,      51.730880,       -0.112456,   90327.92,  112900.07,    5173.69,             5136.70,    22.97,  22571.79,           24632.66,      9.45,     27.32,          52.82,  +2.06,  +1.80
  6,     UK000C,       0,  0.241920, 2459443.463458027691,  23.38046,  65.99517,               39.29328,  52.41641,        39.31936,       52.42136,     23.38046,     +65.99517,      23.36034,      +65.98079,  2701049.17, -2969126.36,  5054530.96,      51.730938,       -0.108361,   89385.71,  112258.34,    6162.06,             6125.07,    40.17,  24513.26,           24401.26,     10.67,     30.84,          59.97,  +1.90,  +1.65
  7,     UK000C,       0,  0.282204, 2459443.463458494283,  24.10459,  65.82116,               39.45728,  52.08843,        39.47990,       52.09272,     24.10459,     +65.82116,      24.08704,      +65.80870,  2700892.66, -2968557.63,  5053873.64,      51.730990,       -0.104719,   88543.75,  111688.62,    7045.26,             7008.27,   -46.95,  21924.23,           24098.56,      9.27,     26.79,          52.35,  +1.40,  +1.16
  8,     UK000C,       0,  0.322540, 2459443.463458960876,  24.95771,  65.62692,               39.62176,  51.70056,        39.66527,       51.70881,     24.95771,     +65.62692,      24.92265,      +65.60295,  2700712.17, -2967901.75,  5053115.59,      51.731050,       -0.100491,   87572.80,  111037.35,    8063.78,             8026.79,     0.00,  25250.88,           24034.14,     17.86,     51.65,         101.52,  +1.25,  +1.02
  9,     UK000C,       0,  0.362832, 2459443.463459427468,  25.68294,  65.45467,               39.76286,  51.36570,        39.82203,       51.37692,     25.68294,     +65.45467,      25.63423,      +65.42209,  2700557.72, -2967340.48,  5052466.90,      51.731101,       -0.096896,   86741.89,  110483.68,    8935.38,             8898.39,   -98.91,  21632.07,           23870.37,     24.32,     70.36,         138.98,  +1.39,  +1.17
 10,     UK000C,       0,  0.403136, 2459443.463459893595,  26.43238,  65.27539,               39.90112,  51.01610,        39.98283,       51.03157,     26.43238,     +65.27539,      26.36364,      +65.23041,  2700398.77, -2966762.88,  5051799.32,      51.731153,       -0.093191,   85886.80,  109918.28,    9832.34,             9795.35,  -172.74,  22254.85,           23707.61,     33.63,     97.33,         193.23,  +2.51,  +2.30
 11,     UK000C,       0,  0.443356, 2459443.463460359257,  26.92028,  65.09033,               40.08938,  50.76694,        40.10183,       50.76930,     26.92028,     +65.09033,      26.91090,      +65.08348,  2700278.85, -2966327.12,  5051295.68,      51.731192,       -0.090436,   85241.64,  109493.40,   10509.04,            10472.05,  -464.81,  16825.09,           23349.63,      5.14,     14.85,          29.60,  +4.39,  +4.19
  0,     UK002C,       0,  0.121269, 2459443.463456428144,  29.85429,  39.40848,               69.48871,  35.85763,        69.47467,       35.85650,     29.85429,     +39.40848,      29.86502,      +39.41636,  2701585.05, -2971073.72,  5056781.66,      51.730759,       -0.120825,   92268.53,  155210.91,       0.00,             3101.00,   -77.81,      0.00,           24232.54,    -12.71,    -28.24,          41.16,  +3.70,  +2.75
  1,     UK002C,       0,  0.161633, 2459443.463456895202,  30.20325,  39.08562,               69.57104,  35.44195,        69.52436,       35.43818,     30.20325,     +39.08562,      30.23926,      +39.11182,  2701369.49, -2970290.37,  5055876.29,      51.730831,       -0.115749,   91108.89,  154788.20,    1216.47,             4317.47,   166.42,  30137.57,           24232.54,    -42.37,    -94.15,         137.57,  +5.68,  +4.73
  2,     UK002C,       0,  0.201861, 2459443.463457360864,  30.48175,  38.91223,               69.55652,  35.16487,        69.55604,       35.16483,     30.48175,     +38.91223,      30.48246,      +38.91250,  2701228.83, -2969779.23,  5055285.53,      51.730878,       -0.112494,   90352.20,  154513.77,    2010.23,             5111.23,    -8.79,  19731.36,           24232.54,     -0.44,     -0.98,           1.43,  +4.60,  +3.66
  3,     UK002C,       0,  0.242157, 2459443.463457827456,  30.75177,  38.64264,               69.63390,  34.82876,        69.59540,       34.82565,     30.75177,     +38.64264,      30.78205,      +38.66427,  2701055.27, -2969148.55,  5054556.61,      51.730936,       -0.108438,   89418.56,  154182.16,    2989.61,             6090.61,    -0.01,  24304.81,           24232.54,    -35.07,    -77.94,         114.34,  +3.00,  +2.06
  4,     UK002C,       0,  0.282449, 2459443.463458293583,  31.06068,  38.39601,               69.66342,  34.48430,        69.63496,       34.48200,     31.06068,     +38.39601,      31.08345,      +38.41201,  2700880.20, -2968512.37,  5053821.33,      51.730994,       -0.104343,   88476.76,  153853.28,    3977.55,             7078.55,    17.42,  24519.41,           24147.12,    -25.98,    -57.73,          84.87,  +2.18,  +1.24
  5,     UK002C,       0,  0.322729, 2459443.463458759710,  31.35689,  38.16038,               69.68879,  34.15392,        69.67251,       34.15261,     31.35689,     +38.16038,      31.37041,      +38.16954,  2700713.04, -2967904.93,  5053119.27,      51.731049,       -0.100440,   87577.51,  153544.08,    4920.85,             8021.85,    -9.50,  23418.65,           24018.67,    -14.88,    -33.08,          48.73,  +2.23,  +1.30
  6,     UK002C,       0,  0.363017, 2459443.463459226303,  31.68274,  37.93043,               69.68816,  33.80935,        69.71116,       33.81121,     31.68274,     +37.93043,      31.66578,      +37.91748,  2700540.53, -2967278.04,  5052394.73,      51.731106,       -0.096405,   86649.47,  153230.65,    5894.35,             8995.35,    -6.41,  24163.52,           23988.31,     21.06,     46.83,          69.12,  +2.36,  +1.43
  7,     UK002C,       0,  0.403241, 2459443.463459691498,  31.87114,  37.72392,               69.75227,  33.56046,        69.73910,       33.55940,     31.87114,     +37.72392,      31.88264,      +37.73134,  2700413.44, -2966816.18,  5051860.92,      51.731148,       -0.093476,   85965.69,  153000.85,    6611.58,             9712.58,  -258.05,  17830.89,           23463.41,    -12.09,    -26.87,          39.72,  +5.60,  +4.68

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.