Orbital Analysis for matched events on 20210810_204304.989_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 304.14° Bg 74.76° Vg 22.68km/s
mass 0.05914g, abs. mag 1.1
Path Details
------------
start -0.86° 51.10° 94.67km
end   -0.89° 51.10° 84.71km

Orbit Details
-------------
Semimajor axis 3.13A.U., eccentricity 0.69, inclination 35.37°, Period 5.53Y, LA Sun 138.14°, last Perihelion 2016-02-15

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: 2459437.363252192736
Time: 2021-08-10 20:43:05.029484 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK002B
 Convergence angle = 29.06134 deg
 R.A. = 284.48209  Dec = +52.68714 deg

Best intersection: Stations UK0001 and UK002B with Qconv = 29.06 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    -38869.15 +/- 55.06 m
 Y =  -4072974.15 +/- 57.58 m
 Z =   5014619.78 +/- 144.45 m
 Vx =     3556.34 +/- 246.48 m/s
 Vy =   -14788.44 +/- 209.68 m/s
 Vz =    20165.55 +/- 597.80 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.582416e+03, -2.530929e+03, +6.560438e+03, +1.023603e+04, -7.091220e+03, +2.266764e+04
-2.530929e+03, +2.769491e+03, -6.755106e+03, -9.585626e+03, +6.793669e+03, -2.144782e+04
+6.560438e+03, -6.755106e+03, +1.780457e+04, +2.628448e+04, -1.949440e+04, +6.221326e+04
+1.023603e+04, -9.585626e+03, +2.628448e+04, +5.433617e+04, -3.960256e+04, +1.234511e+05
-7.091220e+03, +6.793669e+03, -1.949440e+04, -3.960256e+04, +5.056735e+04, -1.142287e+05
+2.266764e+04, -2.144782e+04, +6.221326e+04, +1.234511e+05, -1.142287e+05, +3.174663e+05

Timing offsets (from input data):
    UK0001: -0.000215 s
    UK002B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 20:43:05.029484 UTC
  Lon     = +-0.861764 +/- 0.0008 deg
  Lat     = +51.099969 +/- 0.0004 deg
  Lat geo = +50.914531 +/- 0.0004 deg
  Ht      =   95147.61 +/- 147.41 m

  JD dynamic   = 2459437.364053396974 
  LST apparent = 269.4532323728 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 283.52179 +/- 0.7178 deg
  Dec       = +52.97426 +/- 0.3463 deg
  Azimuth   =  72.28294 +/- 1.8497 deg
  Elevation = +81.16055 +/- 0.4689 deg
  Vavg      =  25.10424 +/- 0.5432 km/s
  Vinit     =  25.25856 +/- 0.6343 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 284.60184 +/- 0.7178 deg
  Dec       = +52.83883 +/- 0.3463 deg
  Azimuth   =  73.52637 +/- 1.8497 deg
  Elevation = +80.52530 +/- 0.4689 deg
  Vavg      =  25.14942 +/- 0.5432 km/s
  Vinit     =  25.30375 +/- 0.6343 km/s
Radiant (geocentric, J2000):
  R.A.   = 284.18847 +/- 0.7279 deg
  Dec    = +53.00654 +/- 0.3552 deg
  Vg     =  22.68481 +/- 0.7025 km/s
  Vinf   =  25.25856 +/- 0.6343 km/s
  Zc     =   8.89763 +/- 0.4740 deg
  Zg     =   9.37624 +/- 0.4768 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 304.13561 +/- 2.0398 deg
  Bg     = +74.76174 +/- 0.1855 deg
  Vh     =  38.29991 +/- 0.3228 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 239.28718 +/- 0.3623 deg
  Bh     = +34.85446 +/- 0.9409 deg
  Vh_x   =  16.05198 +/- 0.2389 km/s
  Vh_y   =  27.02083 +/- 0.0863 km/s
  Vh_z   = -21.88816 +/- 0.6931 km/s
Orbit:
  La Sun = 138.137427 +/- 0.0000 deg
  a      =   3.128389 +/- 0.3431 AU
  e      =   0.686045 +/- 0.0277
  i      =  35.367683 +/- 0.9807 deg
  peri   = 202.504150 +/- 0.2525 deg
  node   = 138.142377 +/- 0.0002 deg
  Pi     = 340.646528 +/- 0.2526 deg
  q      =   0.982172 +/- 0.0007 AU
  f      = 337.489162 +/- 0.2526 deg
  M      = 356.885115 +/- 0.4208 deg
  Q      =   5.274606 +/- 0.6866 AU
  n      =   0.178124 +/- 0.0224 deg/day
  T      =   5.533269 +/- 0.9667 years
  Last perihelion JD = 2457433.789596 (2016-02-15 06:57:01.114495) +/- 353.3320 days
  Tj     =   2.583541 +/- 0.1499
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.864113e-04, -8.460984e-06, -8.579053e+00, -7.610759e-08, -5.744992e-05, +3.932585e-04
q   , -8.460984e-06, +5.327064e-07, +9.996824e-02, +1.554435e-09, -1.973026e-06, -7.926770e-06
Tp  , -8.579053e+00, +9.996824e-02, +1.082714e+05, +9.345702e-04, +7.533109e-01, -4.842680e+00
node, -7.610759e-08, +1.554435e-09, +9.345702e-04, +1.018291e-11, +2.517841e-09, -5.225445e-08
peri, -5.744992e-05, -1.973026e-06, +7.533109e-01, +2.517841e-09, +2.159108e-05, -1.366120e-05
i   , +3.932585e-04, -7.926770e-06, -4.842680e+00, -5.225445e-08, -1.366120e-05, +2.683525e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 7.680267
 a2 = 6.390750

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 1.055e-05 s
  Stddev    = 3.25e-03 s

Begin point on the trajectory:
  Lon =    -0.862763 +/- 0.0007 deg
  Lat =    51.099768 +/- 0.0004 deg
  Ht  = 94668.29 +/- 134.29 m
End point on the trajectory:
  Lon =    -0.885231 +/- 0.0008 deg
  Lat =    51.095585 +/- 0.0004 deg
  Ht  = 84707.39 +/- 87.61 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.001799,  26.416323,    94576.56,    84707.39,          0.017676,     34.28,      9.78,              26.38, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210810_204257_827_0043008.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.879641,  12.378890,    94668.29,    85613.18,          0.008372,     14.66,      4.15,              17.94, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210810_204304_785_0045824.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,     UK0001,       0,  0.040123, 2459437.363252659328, 328.32374,  50.28517,               66.84012,  53.08924,        66.89701,       53.08829,    328.32374,     +50.28517,     328.30289,      +50.25374,   -38950.51, -4072635.79,  5014158.40,      51.099730,       -0.862955,   94576.56,  117771.06,       0.00,              577.90,     0.35,      0.00,           25119.14,     19.28,     67.56,         123.05,  +4.15,  +3.79
  1,     UK0001,       0,  0.080327, 2459437.363253124990, 328.61327,  50.13438,               66.93783,  52.85772,        66.88280,       52.85859,    328.61327,     +50.13438,     328.63429,      +50.16487,   -39096.20, -4072029.98,  5013332.32,      51.099301,       -0.865254,   93554.11,  116847.50,    1034.72,             1612.62,    19.58,  25736.75,           25119.14,    -18.60,    -65.19,         119.67,  +3.03,  +2.69
  2,     UK0001,       0,  0.120499, 2459437.363253589720, 328.95001,  50.08815,               66.85551,  52.64257,        66.86928,       52.64234,    328.95001,     +50.08815,     328.94528,      +50.08049,   -39231.47, -4071467.48,  5012565.29,      51.098903,       -0.867401,   92604.74,  115991.20,    1995.47,             2573.37,   -34.36,  23915.86,           25119.14,      4.64,     16.28,          30.10,  +2.65,  +2.33
  3,     UK0001,       0,  0.160699, 2459437.363254054915, 329.29349,  49.99252,               66.84233,  52.40226,        66.85478,       52.40206,    329.29349,     +49.99252,     329.28937,      +49.98558,   -39379.22, -4070853.08,  5011727.49,      51.098468,       -0.869732,   91567.76,  115058.41,    3044.87,             3622.77,    -0.35,  26104.52,           25119.14,      4.19,     14.67,          27.35,  +2.02,  +1.72
  4,     UK0001,       0,  0.200887, 2459437.363254520111, 329.59831,  49.88955,               66.85561,  52.18085,        66.84122,       52.18109,    329.59831,     +49.88955,     329.60477,      +49.89760,   -39513.26, -4070295.69,  5010967.43,      51.098073,       -0.871863,   90626.99,  114213.33,    3996.89,             4574.79,   -63.43,  23689.10,           24891.61,     -4.83,    -16.92,          31.78,  +1.86,  +1.57
  5,     UK0001,       0,  0.241083, 2459437.363254985306, 329.95667,  49.81723,               66.79774,  51.94138,        66.82690,       51.94090,    329.95667,     +49.81723,     329.94616,      +49.80085,   -39656.57, -4069699.79,  5010154.86,      51.097651,       -0.874129,   89621.22,  113312.23,    5014.68,             5592.58,   -60.92,  25320.83,           24887.92,      9.76,     34.20,          64.74,  +1.62,  +1.35
  6,     UK0001,       0,  0.281287, 2459437.363255450968, 330.28946,  49.70338,               66.81029,  51.69824,        66.81257,       51.69820,    330.28946,     +49.70338,     330.28973,      +49.70209,   -39799.11, -4069107.06,  5009346.61,      51.097230,       -0.876386,   88620.79,  112417.88,    6027.06,             6604.96,   -64.05,  25180.87,           24918.01,      0.76,      2.67,           5.09,  +1.62,  +1.37
  7,     UK0001,       0,  0.321503, 2459437.363255916163, 330.63992,  49.57984,               66.82634,  51.44004,        66.79769,       51.44050,    330.63992,     +49.57984,     330.65290,      +49.59603,   -39947.90, -4068488.34,  5008502.93,      51.096791,       -0.878734,   87576.48,  111486.80,    7083.82,             7661.73,   -23.08,  26277.34,           25043.89,     -9.53,    -33.42,          64.29,  +1.64,  +1.40
  8,     UK0001,       0,  0.361715, 2459437.363256381825, 331.01955,  49.48913,               66.77950,  51.17913,        66.78277,       51.17908,    331.01955,     +49.48913,     331.01972,      +49.48728,   -40096.35, -4067871.01,  5007661.13,      51.096353,       -0.881078,   86534.51,  110560.07,    8138.22,             8716.12,    15.62,  26220.90,           25181.13,      1.09,      3.80,           7.38,  +1.77,  +1.55
  9,     UK0001,       0,  0.401895, 2459437.363256846555, 331.31361,  49.39393,               66.77723,  50.96554,        66.76993,       50.96566,    331.31361,     +49.39393,     331.31833,      +49.39807,   -40216.21, -4067372.62,  5006981.53,      51.095999,       -0.883003,   85693.25,  109812.26,    8989.47,             9567.37,  -148.02,  21185.80,           25033.15,     -2.42,     -8.47,          16.54,  +1.90,  +1.70
 10,     UK0001,       0,  0.442107, 2459437.363257312216, 331.65963,  49.27497,               66.78228,  50.71063,        66.75547,       50.71106,    331.65963,     +49.27497,     331.67279,      +49.29027,   -40356.66, -4066788.55,  5006185.09,      51.095585,       -0.885231,   84707.39,  108939.04,    9987.05,            10564.95,  -166.13,  24808.18,           24942.20,     -8.86,    -31.05,          61.14,  +3.12,  +2.93
 11,     UK0001,       1,  0.482239, 2459437.363257776480, 331.80175,  49.14022,               66.90383,  50.56627,        66.74567,       50.56868,    331.80175,     +49.14022,     331.87122,      +49.23051,   -40435.32, -4066461.47,  5005739.08,      51.095352,       -0.886553,   84155.21,  108447.90,   10545.71,            11123.61,  -621.15,  13920.47,           24466.59,    -52.16,   -182.91,         361.75,  +5.37,  +5.19
  0,     UK002B,       1,  0.000000, 2459437.363252192736, 314.71873,  61.86536,               48.18977,  63.04274,        48.10892,       63.04989,    314.71873,     +61.86536,     314.69955,      +61.90159,   -38867.34, -4072981.65,  5014630.01,      51.099975,       -0.861570,   95160.27,  106526.43,       0.00,               12.81,   448.71,      0.00,           22547.45,    -18.92,    -66.79,         134.42,  +6.06,  +5.92
  1,     UK002B,       0,  0.040044, 2459437.363252656069, 314.86306,  61.93617,               48.04160,  62.97124,        48.06288,       62.96934,    314.86306,     +61.93617,     314.86830,      +61.92661,   -38937.44, -4072690.14,  5014232.51,      51.099768,       -0.862763,   94668.29,  106051.10,     497.89,              485.07,   -90.48,  12433.46,           22547.45,      4.97,     17.55,          35.48,  +2.72,  +2.59
  2,     UK002B,       0,  0.080192, 2459437.363253120799, 315.26002,  61.95796,               48.01363,  62.78372,        47.97359,       62.78727,    315.26002,     +61.95796,     315.25101,      +61.97609,   -39089.28, -4072058.74,  5013371.53,      51.099322,       -0.865152,   93602.64,  105026.95,    1576.33,             1563.51,   -26.12,  26861.60,           22547.45,     -9.32,    -32.90,          67.16,  +2.99,  +2.88
  3,     UK002B,       0,  0.120324, 2459437.363253585529, 315.63797,  62.03362,               47.86577,  62.60312,        47.88365,       62.60152,    315.63797,     +62.03362,     315.64261,      +62.02546,   -39241.16, -4071427.19,  5012510.35,      51.098874,       -0.867542,   92536.75,  104003.70,    2655.00,             2642.18,    38.87,  26878.05,           22547.45,      4.14,     14.64,          30.17,  +1.93,  +1.84
  4,     UK002B,       0,  0.160448, 2459437.363254049793, 315.98866,  62.07903,               47.78163,  62.43710,        47.80274,       62.43522,    315.98866,     +62.07903,     315.99414,      +62.06934,   -39375.02, -4070870.57,  5011751.34,      51.098480,       -0.869669,   91597.28,  103102.31,    3605.71,             3592.90,   -23.89,  23694.37,           23353.78,      4.87,     17.22,          35.81,  +1.85,  +1.78
  5,     UK002B,       0,  0.200600, 2459437.363254514523, 316.40818,  62.12234,               47.70328,  62.23940,        47.71015,       62.23879,    316.40818,     +62.12234,     316.41054,      +62.11916,   -39529.59, -4070227.82,  5010874.88,      51.098025,       -0.872100,   90512.45,  102063.22,    4703.52,             4690.71,    59.74,  27341.50,           24154.27,      1.58,      5.58,          11.73,  +1.65,  +1.61
  6,     UK002B,       0,  0.240708, 2459437.363254978787, 316.71115,  62.15228,               47.64848,  62.09696,        47.64101,       62.09762,    316.71115,     +62.15228,     316.71052,      +62.15575,   -39639.71, -4069769.88,  5010250.44,      51.097700,       -0.873880,   89739.51,  101322.49,    5485.68,             5472.87,  -171.18,  19501.16,           23941.65,     -1.71,     -6.05,          12.80,  +1.43,  +1.40
  7,     UK002B,       0,  0.280856, 2459437.363255443517, 317.13389,  62.21139,               47.53371,  61.89819,        47.54838,       61.89688,    317.13389,     +62.21139,     317.13822,      +62.20451,   -39792.24, -4069135.63,  5009385.57,      51.097251,       -0.876282,   88669.00,  100299.24,    6568.97,             6556.16,  -101.96,  26982.62,           24106.64,      3.35,     11.85,          25.32,  +1.44,  +1.43
  8,     UK002B,       0,  0.321024, 2459437.363255908247, 317.59463,  62.25844,               47.44377,  61.68261,        47.45113,       61.68195,    317.59463,     +62.25844,     317.59752,      +62.25496,   -39951.96, -4068471.46,  5008479.91,      51.096779,       -0.878790,   87547.99,   99229.33,    7703.37,             7690.56,    17.85,  28241.34,           24459.59,      1.68,      5.92,          12.79,  +1.34,  +1.36
  9,     UK002B,       0,  0.361156, 2459437.363256372977, 317.96298,  62.29476,               47.37317,  61.51069,        47.37214,       61.51079,    317.96298,     +62.29476,     317.96427,      +62.29525,   -40077.41, -4067949.79,  5007768.56,      51.096409,       -0.880797,   86667.46,   98389.09,    8594.38,             8581.57,  -104.82,  22201.85,           24516.05,     -0.23,     -0.83,           1.81,  +1.51,  +1.55
 10,     UK002B,       0,  0.401316, 2459437.363256837707, 318.41290,  62.34309,               47.27695,  61.30117,        47.27887,       61.30100,    318.41290,     +62.34309,     318.41497,      +62.34217,   -40227.62, -4067325.18,  5006916.83,      51.095966,       -0.883167,   85613.18,   97385.10,    9661.21,             9648.40,   -52.37,  26564.67,           24640.04,      0.43,      1.53,           3.38,  +1.43,  +1.49
 11,     UK002B,       1,  0.441456, 2459437.363257301971, 318.78700,  62.33151,               47.30283,  61.12755,        47.20390,       61.13630,    318.78700,     +62.33151,     318.76968,      +62.37925,   -40344.09, -4066840.85,  5006256.40,      51.095622,       -0.885043,   84795.65,   96606.58,   10488.44,            10475.63,  -239.02,  20608.60,           24556.46,    -22.31,    -78.78,         174.82,  +2.53,  +2.60

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.