Orbital Analysis for matched events on 20210810_230443.163_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 298.43° Bg 71.17° Vg 16.33km/s
mass 0.03300g, abs. mag 2.2
Path Details
------------
start -2.08° 50.95° 88.15km
end   -2.05° 50.95° 76.99km

Orbit Details
-------------
Semimajor axis 1.73A.U., eccentricity 0.44, inclination 26.37°, Period 2.28Y, LA Sun 138.23°, last Perihelion 2019-05-23

Full details below
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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459437.461610689294
Time: 2021-08-10 23:04:43.163555 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0022 and UK003J
 Convergence angle = 78.40594 deg
 R.A. = 286.00575  Dec = +49.59310 deg

Best intersection: Stations UK0022 and UK003J with Qconv = 78.41 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2267513.68 +/- 48.49 m
 Y =  -3394290.47 +/- 86.62 m
 Z =   4998460.75 +/- 102.79 m
 Vx =     3411.43 +/- 193.54 m/s
 Vy =   -12403.99 +/- 58.60 m/s
 Vz =    14995.13 +/- 199.67 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.358851e+03, -1.522243e+03, +1.047249e+03, +6.428600e+03, -3.749801e+03, +3.032276e+03
-1.522243e+03, +7.281319e+03, -8.288710e+03, +3.699588e+03, -1.641319e+03, +2.226026e+03
+1.047249e+03, -8.288710e+03, +1.030593e+04, -7.845351e+03, +5.615648e+03, -4.014145e+03
+6.428600e+03, +3.699588e+03, -7.845351e+03, +3.264701e+04, -2.109175e+04, +1.567678e+04
-3.749801e+03, -1.641319e+03, +5.615648e+03, -2.109175e+04, +1.963807e+04, -9.190299e+03
+3.032276e+03, +2.226026e+03, -4.014145e+03, +1.567678e+04, -9.190299e+03, +7.835648e+03

Timing offsets (from input data):
    UK0022: -1.286976 s
    UK003J: -0.005045 s

Reference point on the trajectory:
  Time: 2021-08-10 23:04:43.163555 UTC
  Lon     = +-2.076419 +/- 0.0007 deg
  Lat     = +50.948916 +/- 0.0003 deg
  Lat geo = +50.763071 +/- 0.0003 deg
  Ht      =   88151.49 +/- 128.96 m

  JD dynamic   = 2459437.462411430199 
  LST apparent = 303.7444131846 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 285.37769 +/- 0.6927 deg
  Dec       = +49.37319 +/- 0.2793 deg
  Azimuth   = 269.51424 +/- 1.6218 deg
  Elevation = +78.16015 +/- 0.3973 deg
  Vavg      =  19.12328 +/- 0.0817 km/s
  Vinit     =  19.75729 +/- 0.1811 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 286.64492 +/- 0.6927 deg
  Dec       = +49.57335 +/- 0.2793 deg
  Azimuth   = 269.47575 +/- 1.6218 deg
  Elevation = +79.00753 +/- 0.3973 deg
  Vavg      =  19.06436 +/- 0.0817 km/s
  Vinit     =  19.69838 +/- 0.1811 km/s
Radiant (geocentric, J2000):
  R.A.   = 283.56411 +/- 0.8012 deg
  Dec    = +49.06524 +/- 0.2942 deg
  Vg     =  16.33474 +/- 0.2203 km/s
  Vinf   =  19.75729 +/- 0.1811 km/s
  Zc     =  11.83971 +/- 0.4011 deg
  Zg     =  12.96643 +/- 0.4657 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 298.42611 +/- 1.4430 deg
  Bg     = +71.16700 +/- 0.3892 deg
  Vh     =  35.19757 +/- 0.0822 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 237.79722 +/- 0.3683 deg
  Bh     = +26.05712 +/- 0.2753 deg
  Vh_x   =  16.85083 +/- 0.1820 km/s
  Vh_y   =  26.75578 +/- 0.1108 km/s
  Vh_z   = -15.46113 +/- 0.1769 km/s
Orbit:
  La Sun = 138.231815 +/- -0.0000 deg
  a      =   1.734022 +/- 0.0190 AU
  e      =   0.437104 +/- 0.0074
  i      =  26.374515 +/- 0.3001 deg
  peri   = 208.551792 +/- 0.8021 deg
  node   = 138.239652 +/- 0.0001 deg
  Pi     = 346.791444 +/- 0.8020 deg
  q      =   0.976074 +/- 0.0023 AU
  f      = 331.439739 +/- 0.8020 deg
  M      = 349.679551 +/- 0.2146 deg
  Q      =   2.491970 +/- 0.0398 AU
  n      =   0.431641 +/- 0.0074 deg/day
  T      =   2.283403 +/- 0.0374 years
  Last perihelion JD = 2458627.344802 (2019-05-23 20:16:30.872772) +/- 13.3308 days
  Tj     =   3.931520 +/- 0.0339
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.231470e-05, -1.207755e-05, -9.464934e-02, -8.787020e-09, +6.525628e-05, +2.561651e-05
q   , -1.207755e-05, +4.744466e-06, +1.880258e-02, +3.718245e-09, -2.889590e-05, -1.084738e-05
Tp  , -9.464934e-02, +1.880258e-02, +1.760335e+02, +1.327754e-05, -9.646573e-02, -3.870152e-02
node, -8.787020e-09, +3.718245e-09, +1.327754e-05, +2.963275e-12, -2.289401e-08, -8.645841e-09
peri, +6.525628e-05, -2.889590e-05, -9.646573e-02, -2.289401e-08, +1.792842e-04, +6.678006e-05
i   , +2.561651e-05, -1.084738e-05, -3.870152e-02, -8.645841e-09, +6.678006e-05, +2.522876e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 15.990563
 a2 = 5.223290

Mean time residuals from time vs. length:
  Station with reference time: UK0022
  Avg. res. = 2.601e-05 s
  Stddev    = 5.10e-03 s

Begin point on the trajectory:
  Lon =    -2.076419 +/- 0.0006 deg
  Lat =    50.948916 +/- 0.0003 deg
  Ht  = 88151.49 +/- 25.13 m
End point on the trajectory:
  Lon =    -2.046054 +/- 0.0007 deg
  Lat =    50.949088 +/- 0.0004 deg
  Ht  = 76993.97 +/- 31.83 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
    UK0022,   False,    -0.848117,    51.261084,   92.00,  24.414084,   4.464434,    88151.49,    76993.97,          0.036713,     73.25,     30.24,              35.96, 1.0000,    True,    True, {"ff_name": "FF_UK0022_20210810_230443_353_0075520.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    87919.37,    81843.88,          0.011045,     18.90,      4.42,              35.93, 1.0000,   False,    True, {"ff_name": "FF_UK003J_20210810_230438_391_0238592.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,     UK0022,       0,  0.000000, 2459437.461610689294, 257.90869,  21.30596,              248.57582,  42.88611,       248.49483,       42.89396,    257.90869,     +21.30596,     257.96354,      +21.27501,  2267513.68, -3394290.47,  4998460.75,      50.948916,       -2.076419,   88151.49,  128376.46,       0.00,                0.00,   150.30,      0.00,           17878.58,     51.21,    123.94,         215.46,  +5.84,  +5.30
  1,     UK0022,       0,  0.080356, 2459437.461611619219, 257.74921,  20.92614,              248.41144,  42.49649,       248.42947,       42.49472,    257.74921,     +20.92614,     257.73712,      +20.93304,  2267252.55, -3393340.99,  4997312.93,      50.948939,       -2.072398,   86671.30,  127164.48,    1512.35,             1512.35,    75.04,  18820.65,           17878.58,    -11.36,    -27.51,          48.28,  +4.99,  +4.47
  2,     UK0022,       0,  0.120472, 2459437.461612083483, 257.62375,  20.83258,              248.45673,  42.35028,       248.40785,       42.35503,    257.62375,     +20.83258,     257.65754,      +20.81380,  2267163.03, -3393015.50,  4996919.45,      50.948947,       -2.071072,   86163.86,  126752.96,    2030.80,             2030.80,  -199.10,  12923.60,           17878.58,     30.77,     74.49,         131.16,  +4.93,  +4.42
  3,     UK0022,       0,  0.160688, 2459437.461612549145, 257.52000,  20.60456,              248.36776,  42.11139,       248.36789,       42.11138,    257.52000,     +20.60456,     257.52047,      +20.60461,  2267006.67, -3392446.98,  4996232.17,      50.948961,       -2.068630,   85277.55,  126030.04,    2936.34,             2936.34,   -88.11,  22517.07,           17878.58,     -0.08,     -0.19,           0.34,  +3.48,  +2.98
  4,     UK0022,       0,  0.200892, 2459437.461613014340, 257.41871,  20.39286,              248.29097,  41.88653,       248.33089,       41.88262,    257.41871,     +20.39286,     257.39198,      +20.40823,  2266861.64, -3391919.65,  4995594.68,      50.948974,       -2.066377,   84455.42,  125362.14,    3776.29,             3776.29,   -42.49,  20892.12,           18546.98,    -25.02,    -60.62,         107.90,  +2.92,  +2.43
  5,     UK0022,       0,  0.241104, 2459437.461613480002, 257.22149,  20.20405,              248.32862,  41.62371,       248.28959,       41.62750,    257.22149,     +20.20405,     257.24929,      +20.18895,  2266701.49, -3391337.34,  4994890.72,      50.948988,       -2.063870,   83547.58,  124626.14,    4703.81,             4703.81,    90.55,  23065.74,           19306.87,     24.44,     59.15,         105.93,  +2.90,  +2.42
  6,     UK0022,       0,  0.281256, 2459437.461613944732, 257.16208,  20.03673,              248.24873,  41.45778,       248.26321,       41.45636,    257.16208,     +20.03673,     257.15313,      +20.04234,  2266595.83, -3390953.15,  4994426.28,      50.948997,       -2.062273,   82948.59,  124144.68,    5315.74,             5315.74,   -90.81,  15240.47,           19257.18,     -9.05,    -21.93,          39.42,  +2.54,  +2.07
  7,     UK0022,       0,  0.321456, 2459437.461614409927, 257.02186,  19.84184,              248.22625,  41.22310,       248.22629,       41.22310,    257.02186,     +19.84184,     257.02306,      +19.84186,  2266452.37, -3390431.56,  4993795.73,      50.949010,       -2.060045,   82135.39,  123489.93,    6146.54,             6146.54,   -54.25,  20666.62,           19336.69,     -0.03,     -0.06,           0.11,  +2.35,  +1.89
  8,     UK0022,       0,  0.361640, 2459437.461614875123, 256.86817,  19.67393,              248.23963,  41.00171,       248.19248,       41.00629,    256.86817,     +19.67393,     256.90230,      +19.65558,  2266320.56, -3389952.30,  4993216.35,      50.949021,       -2.058010,   81388.16,  122890.81,    6909.92,             6909.92,   -84.80,  18997.04,           19356.34,     29.38,     71.11,         129.14,  +2.65,  +2.20
  9,     UK0022,       0,  0.401804, 2459437.461615339853, 256.89045,  19.46347,              248.04606,  40.84893,       248.16701,       40.83701,    256.89045,     +19.46347,     256.80776,      +19.51044,  2266219.01, -3389583.05,  4992769.96,      50.949030,       -2.056480,   80812.40,  122432.29,    7498.08,             7498.08,  -290.18,  14643.88,           19132.41,    -75.19,   -182.28,         332.19,  +2.99,  +2.55
 10,     UK0022,       0,  0.441976, 2459437.461615805048, 256.66809,  19.33352,              248.15862,  40.61741,       248.13359,       40.61984,    256.66809,     +19.33352,     256.68728,      +19.32374,  2266089.27, -3389111.31,  4992199.69,      50.949041,       -2.054479,   80076.88,  121845.84,    8249.46,             8249.46,  -332.48,  18704.20,           18987.30,     15.55,     37.65,          68.95,  +1.75,  +1.32
 11,     UK0022,       0,  0.482208, 2459437.461616270244, 256.54496,  19.09437,              248.08580,  40.35732,       248.09270,       40.35665,    256.54496,     +19.09437,     256.54204,      +19.09706,  2265933.29, -3388544.16,  4991514.06,      50.949055,       -2.052038,   79192.60,  121141.47,    9152.83,             9152.83,  -223.99,  22454.11,           19026.10,     -4.27,    -10.35,          19.06,  +1.85,  +1.43
 12,     UK0022,       0,  0.522404, 2459437.461616735905, 256.39111,  18.90765,              248.08603,  40.12063,       248.05716,       40.12344,    256.39111,     +18.90765,     256.41342,      +18.89632,  2265796.83, -3388047.99,  4990914.24,      50.949066,       -2.049924,   78418.98,  120528.44,    9943.13,             9943.13,  -227.85,  19661.17,           19069.92,     17.88,     43.27,          80.11,  +1.79,  +1.38
 13,     UK0022,       0,  0.562612, 2459437.461617201101, 256.25940,  18.70188,              248.04987,  39.88163,       248.02093,       39.88445,    256.25940,     +18.70188,     256.28198,      +18.69050,  2265658.39, -3387544.62,  4990305.72,      50.949078,       -2.047776,   77634.11,  119908.46,   10744.91,            10744.91,  -220.47,  19940.81,           19121.70,     17.89,     43.29,          80.58,  +1.89,  +1.50
 14,     UK0022,       0,  0.602788, 2459437.461617666297, 256.21207,  18.49779,              247.93344,  39.69279,       247.99184,       39.68707,    256.21207,     +18.49779,     256.17330,      +18.52075,  2265545.48, -3387134.11,  4989809.45,      50.949088,       -2.046054,   76993.97,  119405.93,   11398.79,            11398.79,  -360.36,  16275.28,           19087.68,    -36.02,    -87.26,         163.08,  +3.59,  +3.20
  0,     UK003J,       0,  0.022469, 2459437.461611007806, 316.78391,  22.81700,              155.10784,  59.64524,       155.05606,       59.65397,    316.78391,     +22.81700,     316.80842,      +22.83283,  2267472.73, -3394141.57,  4998280.75,      50.948920,       -2.075851,   87919.37,  101445.18,       0.00,              237.17,   -56.44,      0.00,           19688.41,    -11.13,    -47.55,          99.29,  +3.14,  +3.11
  1,     UK003J,       0,  0.062585, 2459437.461611472070, 316.98422,  22.59258,              154.88540,  59.37735,       154.88541,       59.37735,    316.98422,     +22.59258,     316.98438,      +22.59258,  2267321.69, -3393592.41,  4997616.87,      50.948933,       -2.073499,   87063.26,  100738.45,     874.71,             1111.89,    25.69,  21804.59,           19688.41,      0.00,      0.01,           0.01,  +3.07,  +3.05
  2,     UK003J,       0,  0.102717, 2459437.461611936800, 317.12658,  22.37069,              154.76373,  59.12700,       154.73743,       59.13143,    317.12658,     +22.37069,     317.13951,      +22.37882,  2267189.11, -3393110.35,  4997034.10,      50.948945,       -2.071454,   86311.73,  100119.90,    1642.56,             1879.73,     0.63,  19132.93,           19688.41,     -5.66,    -24.17,          51.13,  +3.10,  +3.10
  3,     UK003J,       0,  0.142821, 2459437.461612400599, 317.29211,  22.17413,              154.58906,  58.89459,       154.59668,       58.89331,    317.29211,     +22.17413,     317.28895,      +22.17176,  2267062.30, -3392649.27,  4996476.71,      50.948956,       -2.069505,   85592.91,   99530.07,    2376.97,             2614.14,   -57.31,  18312.65,           19688.41,      1.64,      7.00,          14.91,  +3.03,  +3.04
  4,     UK003J,       0,  0.182965, 2459437.461612865329, 317.47514,  21.92239,              154.41682,  58.60447,       154.42571,       58.60298,    317.47514,     +21.92239,     317.47151,      +21.91961,  2266910.06, -3392095.72,  4995807.53,      50.948970,       -2.067132,   84729.93,   98824.97,    3258.67,             3495.84,    31.26,  21963.41,           19987.64,      1.91,      8.17,          17.50,  +2.72,  +2.75
  5,     UK003J,       0,  0.223101, 2459437.461613330059, 317.63934,  21.68492,              154.27017,  58.33291,       154.27017,       58.33291,    317.63934,     +21.68492,     317.64018,      +21.68492,  2266770.36, -3391587.76,  4995193.45,      50.948982,       -2.064967,   83938.00,   98180.18,    4067.76,             4304.93,    47.37,  20158.75,           20097.57,     -0.00,     -0.00,           0.01,  +2.81,  +2.85
  6,     UK003J,       0,  0.263233, 2459437.461613794323, 317.79500,  21.46004,              154.13214,  58.07554,       154.12552,       58.07665,    317.79500,     +21.46004,     317.79926,      +21.46213,  2266639.48, -3391111.89,  4994618.18,      50.948993,       -2.062948,   83196.09,   97578.13,    4825.73,             5062.91,    12.45,  18887.07,           20007.10,     -1.43,     -6.10,          13.23,  +2.91,  +2.96
  7,     UK003J,       0,  0.303361, 2459437.461614259053, 317.96708,  21.23168,              153.96967,  57.81022,       153.97646,       57.80908,    317.96708,     +21.23168,     317.96490,      +21.22953,  2266504.64, -3390621.62,  4994025.49,      50.949005,       -2.060863,   82431.71,   96960.19,    5606.64,             5843.81,     0.53,  19460.44,           19923.85,      1.46,      6.25,          13.65,  +3.29,  +3.36
  8,     UK003J,       0,  0.343477, 2459437.461614723317, 318.08315,  21.04404,              153.87935,  57.59903,       153.86480,       57.60147,    318.08315,     +21.04404,     318.09171,      +21.04867,  2266400.96, -3390244.61,  4993569.73,      50.949014,       -2.059298,   81843.88,   96485.91,    6207.15,             6444.32,  -191.54,  14969.32,           19554.81,     -3.13,    -13.40,          29.42,  +4.42,  +4.50

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.