Orbital Analysis for matched events on 20210810_002111.302_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 307.40° Bg 79.31° Vg 22.68km/s
mass 0.01619g, abs. mag 1.4
Path Details
------------
start 0.45° 51.81° 89.60km
end   0.47° 51.80° 85.62km

Orbit Details
-------------
Semimajor axis 2.71A.U., eccentricity 0.63, inclination 36.50°, Period 4.47Y, LA Sun 137.32°, last Perihelion 2017-03-05

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: 2459436.514714143705
Time: 2021-08-10 00:21:11.350376 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 30.86800 deg
 R.A. = 284.52144  Dec = +57.08849 deg

Best intersection: Stations UK000C and UK002F with Qconv = 30.87 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3260555.47 +/- 61.56 m
 Y =  -2329821.44 +/- 58.95 m
 Z =   5059887.74 +/- 102.98 m
 Vx =     3406.40 +/- 515.14 m/s
 Vy =   -13112.25 +/- 451.03 m/s
 Vz =    21314.30 +/- 822.72 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.073134e+03, +3.448711e+03, +6.396365e+03, +2.529642e+04, +3.135206e+04, +2.877373e+04
+3.448711e+03, +3.657732e+03, +6.019950e+03, +1.840651e+04, +2.833368e+04, +2.642266e+04
+6.396365e+03, +6.019950e+03, +1.120385e+04, +3.397399e+04, +4.743907e+04, +4.687662e+04
+2.529642e+04, +1.840651e+04, +3.397399e+04, +2.553616e+05, +2.894358e+05, +2.793383e+05
+3.135206e+04, +2.833368e+04, +4.743907e+04, +2.894358e+05, +4.575200e+05, +2.939607e+05
+2.877373e+04, +2.642266e+04, +4.687662e+04, +2.793383e+05, +2.939607e+05, +5.302866e+05

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK002F: -0.000750 s

Reference point on the trajectory:
  Time: 2021-08-10 00:21:11.350376 UTC
  Lon     = ++0.447401 +/- 0.0012 deg
  Lat     = +51.805530 +/- 0.0005 deg
  Lat geo = +51.620962 +/- 0.0005 deg
  Ht      =   89575.73 +/- 91.22 m

  JD dynamic   = 2459436.515515444335 
  LST apparent = 324.4523953118 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 284.56282 +/- 2.5722 deg
  Dec       = +57.55971 +/- 1.6080 deg
  Azimuth   = 299.96939 +/- 4.1142 deg
  Elevation = +66.60248 +/- 1.3913 deg
  Vavg      =  24.45394 +/- 0.3587 km/s
  Vinit     =  25.25538 +/- 0.5345 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 285.52431 +/- 2.5722 deg
  Dec       = +57.91632 +/- 1.6080 deg
  Azimuth   = 300.82488 +/- 4.1142 deg
  Elevation = +67.12938 +/- 1.3913 deg
  Vavg      =  24.35491 +/- 0.3587 km/s
  Vinit     =  25.15634 +/- 0.5345 km/s
Radiant (geocentric, J2000):
  R.A.   = 282.09047 +/- 2.6565 deg
  Dec    = +57.45265 +/- 1.7221 deg
  Vg     =  22.67881 +/- 0.5909 km/s
  Vinf   =  25.25538 +/- 0.5345 km/s
  Zc     =  23.49023 +/- 1.3816 deg
  Zg     =  24.77082 +/- 1.4740 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 307.40234 +/- 11.3329 deg
  Bg     = +79.30854 +/- 0.8125 deg
  Vh     =  37.72547 +/- 0.5841 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 235.68999 +/- 0.3497 deg
  Bh     = +36.21009 +/- 1.3662 deg
  Vh_x   =  17.15758 +/- 0.4791 km/s
  Vh_y   =  25.14263 +/- 0.7687 km/s
  Vh_z   = -22.28624 +/- 0.6099 km/s
Orbit:
  La Sun = 137.323256 +/- -0.0000 deg
  a      =   2.713046 +/- 0.5006 AU
  e      =   0.632998 +/- 0.0501
  i      =  36.502376 +/- 1.3650 deg
  peri   = 197.428936 +/- 0.8083 deg
  node   = 137.328991 +/- 0.0002 deg
  Pi     = 334.757927 +/- 0.8083 deg
  q      =   0.995693 +/- 0.0015 AU
  f      = 342.564918 +/- 0.8083 deg
  M      = 356.929858 +/- 0.6703 deg
  Q      =   4.430399 +/- 1.0010 AU
  n      =   0.220556 +/- 0.0425 deg/day
  T      =   4.468753 +/- 1.3552 years
  Last perihelion JD = 2457818.195001 (2017-03-05 16:40:48.073813) +/- 495.5703 days
  Tj     =   2.816847 +/- 0.2404
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.752430e-03, +4.768818e-06, -2.693018e+01, +1.071754e-07, -4.056236e-04, -6.268613e-04
q   , +4.768818e-06, +2.251325e-06, -1.524181e-01, -1.453140e-09, -1.934031e-05, +9.793410e-06
Tp  , -2.693018e+01, -1.524181e-01, +2.747612e+05, -1.117739e-03, +4.816646e+00, +6.464262e+00
node, +1.071754e-07, -1.453140e-09, -1.117739e-03, +1.583603e-11, -8.011441e-10, -9.447131e-08
peri, -4.056236e-04, -1.934031e-05, +4.816646e+00, -8.011441e-10, +2.149256e-04, -6.206380e-06
i   , -6.268613e-04, +9.793410e-06, +6.464262e+00, -9.447131e-08, -6.206380e-06, +5.645354e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -2.684295
 a2 = 17.802740

Mean time residuals from time vs. length:
  Station with reference time: UK000C
  Avg. res. = 2.634e-05 s
  Stddev    = 5.13e-03 s

Begin point on the trajectory:
  Lon =     0.447297 +/- 0.0012 deg
  Lat =    51.805568 +/- 0.0005 deg
  Ht  = 89595.28 +/- 89.38 m
End point on the trajectory:
  Lon =     0.468043 +/- 0.0012 deg
  Lat =    51.797945 +/- 0.0004 deg
  Ht  = 85619.96 +/- 48.39 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,   0.000000,   0.000000,    89595.28,    85879.82,          0.006141,     14.24,      2.67,              60.21, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210810_002109_128_0365824.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   6.011313,  12.729153,    89135.92,    85619.96,          0.026318,     68.33,     10.68,              74.26, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210810_002104_193_0341504.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, 2459436.514714703429,  48.21844,  52.60315,               53.03181,  40.78350,        53.02649,       40.78165,     48.21844,     +52.60315,      48.22481,      +52.60542,  3260558.34, -2329832.49,  5059905.72,      51.805568,       +0.447297,   89595.28,  135829.50,       0.00,               21.30,    -0.98,      0.00,           25603.90,     -1.94,    -10.32,          15.95,  +2.76,  +2.10
  1,     UK000C,       0,  0.040312, 2459436.514715170022,  48.56871,  52.27820,               53.22280,  40.42272,        53.23702,       40.42765,     48.56871,     +52.27820,      48.55224,      +52.27216,  3260415.09, -2329281.08,  5059009.38,      51.803700,       +0.452353,   88620.55,  135305.15,    1062.07,             1040.77,     0.40,  26346.34,           25603.90,      5.18,     27.61,          42.82,  +1.67,  +1.01
  2,     UK000C,       0,  0.080600, 2459436.514715636615,  48.86366,  51.94684,               53.44091,  40.08375,        53.43943,       40.08324,     48.86366,     +51.94684,      48.86584,      +51.94747,  3260276.89, -2328749.07,  5058144.59,      51.801897,       +0.457226,   87680.14,  134804.94,    2086.76,             2065.46,     7.60,  25434.14,           25603.90,     -0.54,     -2.87,           4.47,  +1.39,  +0.74
  3,     UK000C,       0,  0.120892, 2459436.514716102742,  49.17016,  51.62325,               53.64038,  39.74134,        53.63850,       39.74069,     49.17016,     +51.62325,      49.17298,      +51.62405,  3260140.55, -2328224.27,  5057291.51,      51.800118,       +0.462032,   86752.47,  134317.18,    3097.58,             3076.28,     0.83,  25087.28,           25603.90,     -0.69,     -3.65,           5.71,  +1.36,  +0.72
  4,     UK000C,       0,  0.161172, 2459436.514716568869,  49.46584,  51.31958,               53.81933,  39.41406,        53.82505,       39.41603,     49.46584,     +51.31958,      49.45990,      +51.31718,  3260012.30, -2327730.59,  5056489.03,      51.798444,       +0.466544,   85879.82,  133863.19,    4048.45,             4027.15,   -65.59,  23606.46,           25147.25,      2.09,     11.11,          17.42,  +2.84,  +2.21
  0,     UK002F,       0,  0.010884, 2459436.514714412857,  26.61920,  25.28208,               93.46127,  35.54715,        93.43282,       35.54304,     26.61920,     +25.28208,      26.64103,      +25.29485,  3260490.84, -2329572.63,  5059483.31,      51.804688,       +0.449863,   89135.92,  151184.86,       0.00,              479.22,   182.07,      0.00,           23907.15,     -9.58,    -61.29,          84.64,  +4.46,  +3.56
  1,     UK002F,       0,  0.051104, 2459436.514714878518,  26.81402,  25.06499,               93.48414,  35.26811,        93.49335,       35.26944,     26.81402,     +25.06499,      26.80711,      +25.06086,  3260387.59, -2329175.22,  5058837.31,      51.803341,       +0.453461,   88433.42,  150978.89,     765.45,             1244.67,   -68.25,  19031.50,           23907.15,      3.11,     19.87,          27.47,  +2.55,  +1.66
  2,     UK002F,       0,  0.091368, 2459436.514715344179,  27.03680,  24.79178,               93.52984,  34.93038,        93.56640,       34.93566,     27.03680,     +24.79178,      27.00894,      +24.77532,  3260262.25, -2328692.73,  5058053.01,      51.801706,       +0.457865,   87580.54,  150735.64,    1694.76,             2173.98,  -155.82,  23080.50,           23907.15,     12.37,     79.11,         109.57,  +2.60,  +1.71
  3,     UK002F,       0,  0.131700, 2459436.514715811238,  27.29669,  24.41844,               93.62619,  34.49570,        93.66040,       34.50064,     27.29669,     +24.41844,      27.27072,      +24.40300,  3260099.79, -2328067.38,  5057036.47,      51.799586,       +0.463624,   86475.13,  150431.04,    2899.26,             3378.48,    30.07,  29864.54,           23907.15,     11.61,     74.27,         103.07,  +2.09,  +1.20
  4,     UK002F,       0,  0.171928, 2459436.514716276899,  27.44104,  24.09610,               93.77242,  34.16914,        93.73282,       34.16342,     27.44104,     +24.09610,      27.47243,      +24.11399,  3259974.10, -2327583.58,  5056250.06,      51.797945,       +0.468043,   85619.96,  150199.39,    3831.09,             4310.31,   -54.07,  23163.71,           24327.46,    -13.46,    -86.15,         119.74,  +3.78,  +2.90

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.