Orbital Analysis for matched events on 20210813_235808.562_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 297.73° Bg 72.14° Vg 22.93km/s
mass 0.22780g, abs. mag -0.6
Path Details
------------
start 1.26° 50.92° 95.03km
end   1.32° 50.91° 83.55km

Orbit Details
-------------
Semimajor axis 4.60A.U., eccentricity 0.79, inclination 34.13°, Period 9.87Y, LA Sun 141.15°, last Perihelion 2011-10-17

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: 2459440.498710212763
Time: 2021-08-13 23:58:08.602656 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002N
 Convergence angle = 16.56032 deg
 R.A. = 289.34139  Dec = +51.27077 deg

Best intersection: Stations UK002B and UK002N with Qconv = 16.56 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3284020.13 +/- 133.05 m
 Y =  -2437178.26 +/- 52.84 m
 Z =   5002441.80 +/- 46.78 m
 Vx =     4174.86 +/- 456.45 m/s
 Vy =   -15714.29 +/- 192.40 m/s
 Vz =    19610.68 +/- 138.55 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.896566e+04, +6.449029e+03, +5.456682e+03, +5.118183e+04, +1.837653e+04, +1.388413e+04
+6.449029e+03, +2.992732e+03, +1.401420e+03, +1.531008e+04, +5.639595e+03, +4.450881e+03
+5.456682e+03, +1.401420e+03, +2.430382e+03, +1.443572e+04, +5.572358e+03, +4.374264e+03
+5.118183e+04, +1.531008e+04, +1.443572e+04, +2.221846e+05, +9.234829e+04, +6.282006e+04
+1.837653e+04, +5.639595e+03, +5.572358e+03, +9.234829e+04, +4.105464e+04, +2.755874e+04
+1.388413e+04, +4.450881e+03, +4.374264e+03, +6.282006e+04, +2.755874e+04, +1.896486e+04

Timing offsets (from input data):
    UK002B: -0.000069 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:58:08.602656 UTC
  Lon     = ++1.249420 +/- 0.0016 deg
  Lat     = +50.919117 +/- 0.0004 deg
  Lat geo = +50.733458 +/- 0.0004 deg
  Ht      =   96012.11 +/- 84.29 m

  JD dynamic   = 2459440.499511419795 
  LST apparent = 323.4196870571 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 284.87824 +/- 1.7687 deg
  Dec       = +50.33754 +/- 0.2725 deg
  Azimuth   = 283.81348 +/- 0.3110 deg
  Elevation = +65.82443 +/- 1.1424 deg
  Vavg      =  24.08888 +/- 0.0602 km/s
  Vinit     =  25.47444 +/- 0.0806 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 285.70963 +/- 1.7687 deg
  Dec       = +50.65781 +/- 0.2725 deg
  Azimuth   = 284.21568 +/- 0.3110 deg
  Elevation = +66.42088 +/- 1.1424 deg
  Vavg      =  23.97176 +/- 0.0602 km/s
  Vinit     =  25.35732 +/- 0.0806 km/s
Radiant (geocentric, J2000):
  R.A.   = 282.80551 +/- 1.8546 deg
  Dec    = +49.93773 +/- 0.3105 deg
  Vg     =  22.92533 +/- 0.0894 km/s
  Vinf   =  25.47444 +/- 0.0806 km/s
  Zc     =  24.22053 +/- 1.1426 deg
  Zg     =  25.51546 +/- 1.2118 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 297.72626 +/- 3.8449 deg
  Bg     = +72.14447 +/- 0.2208 deg
  Vh     =  39.47920 +/- 0.2833 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 243.01993 +/- 0.5571 deg
  Bh     = +33.55451 +/- 0.3965 deg
  Vh_x   =  14.92627 +/- 0.4460 km/s
  Vh_y   =  29.31967 +/- 0.2162 km/s
  Vh_z   = -21.82134 +/- 0.0645 km/s
Orbit:
  La Sun = 141.147577 +/- 0.0000 deg
  a      =   4.601579 +/- 0.3534 AU
  e      =   0.787199 +/- 0.0231
  i      =  34.126983 +/- 0.4600 deg
  peri   = 202.448576 +/- 1.4286 deg
  node   = 141.153543 +/- 0.0001 deg
  Pi     = 343.602119 +/- 1.4285 deg
  q      =   0.979221 +/- 0.0039 AU
  f      = 337.545064 +/- 1.4285 deg
  M      = 358.313084 +/- 0.5315 deg
  Q      =   8.223937 +/- 0.7031 AU
  n      =   0.099849 +/- 0.0191 deg/day
  T      =   9.870996 +/- 1.0387 years
  Last perihelion JD = 2455851.950128 (2011-10-17 10:48:11.086860) +/- 380.5033 days
  Tj     =   2.091039 +/- 0.1160
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.547965e-04, +9.041764e-05, -9.141551e+00, +3.632371e-08, -5.869007e-04, -1.927441e-04
q   , +9.041764e-05, +1.543787e-05, -1.472046e+00, +5.963962e-09, -9.938448e-05, -3.169592e-05
Tp  , -9.141551e+00, -1.472046e+00, +1.546840e+05, -6.025962e-04, +9.590921e+00, +3.188681e+00
node, +3.632371e-08, +5.963962e-09, -6.025962e-04, +2.395608e-12, -3.868329e-08, -1.270364e-08
peri, -5.869007e-04, -9.938448e-05, +9.590921e+00, -3.868329e-08, +6.407926e-04, +2.054959e-04
i   , -1.927441e-04, -3.169592e-05, +3.188681e+00, -1.270364e-08, +2.054959e-04, +6.738568e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 4.780048
 a2 = 8.608861

Mean time residuals from time vs. length:
  Station with reference time: UK002N
  Avg. res. = 9.381e-06 s
  Stddev    = 3.06e-03 s

Begin point on the trajectory:
  Lon =     1.255396 +/- 0.0014 deg
  Lat =    50.918188 +/- 0.0003 deg
  Ht  = 95033.81 +/- 72.26 m
End point on the trajectory:
  Lon =     1.323472 +/- 0.0023 deg
  Lat =    50.907241 +/- 0.0003 deg
  Ht  = 83550.89 +/- 96.54 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   7.619246,   7.597960,    94783.96,    84165.81,          0.017408,     59.77,     21.09,              81.78, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210813_235806_333_0348160.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   3.666932,   9.140388,    95033.81,    83550.89,          0.011743,     33.17,     12.22,              76.48, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210813_235809_009_0349184.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,     UK002B,       0,  0.046134, 2459440.498710873537,  36.80637,  22.70385,               85.47022,  26.11302,        85.45386,       26.11131,     36.80637,     +22.70385,      36.81950,      +22.71263,  3283799.50, -2436347.81,  5001405.44,      50.917951,       +1.256852,   94783.96,  209128.91,       0.00,             1346.24,   237.31,      0.00,           23808.04,    -17.97,    -50.91,          53.25,  +4.73,  +3.13
  1,     UK002B,       0,  0.166746, 2459440.498712269589,  37.29980,  22.08923,               85.56433,  25.35229,        85.55181,       25.35099,     37.29980,     +22.08923,      37.31045,      +22.09596,  3283338.02, -2434610.80,  4999237.74,      50.915509,       +1.272048,   92215.15,  208898.23,    2815.86,             4162.10,   -19.35,  23346.41,           23808.04,    -13.81,    -39.15,          40.99,  +3.71,  +2.11
  2,     UK002B,       0,  0.206926, 2459440.498712734319,  37.43851,  21.89585,               85.60523,  25.12302,        85.58126,       25.12052,     37.43851,     +21.89585,      37.45842,      +21.90875,  3283198.26, -2434084.73,  4998581.23,      50.914768,       +1.276637,   91437.16,  208834.75,    3668.68,             5014.92,  -190.10,  21224.94,           23808.04,    -26.50,    -75.09,          78.65,  +3.62,  +2.02
  3,     UK002B,       0,  0.247190, 2459440.498713200446,  37.66689,  21.64626,               85.62010,  24.79576,        85.62253,       24.79601,     37.66689,     +21.64626,      37.66604,      +21.64495,  3283001.97, -2433345.90,  4997659.20,      50.913728,       +1.283151,   90344.58,  208755.71,    4866.39,             6212.64,   -18.08,  29746.63,           23808.04,      2.69,      7.61,           7.98,  +1.74,  +0.14
  4,     UK002B,       0,  0.287422, 2459440.498713666108,  37.84274,  21.39913,               85.67180,  24.50315,        85.65974,       24.50189,     37.84274,     +21.39913,      37.85358,      +21.40563,  3282824.11, -2432676.41,  4996823.71,      50.912784,       +1.289040,   89354.54,  208688.93,    5951.71,             7297.95,    42.34,  26976.40,           24486.66,    -13.39,    -37.95,          39.77,  +1.81,  +0.21
  5,     UK002B,       0,  0.327618, 2459440.498714131303,  38.01609,  21.22321,               85.67181,  24.26434,        85.68945,       24.26618,     38.01609,     +21.22321,      38.00345,      +21.21370,  3282681.48, -2432139.56,  4996153.74,      50.912027,       +1.293730,   88560.64,  208637.28,    6822.00,             8168.24,  -111.34,  21651.16,           24517.06,     19.62,     55.60,          58.29,  +1.60,  +0.00
  6,     UK002B,       0,  0.367818, 2459440.498714596499,  38.16236,  21.00262,               85.72479,  24.00950,        85.72171,       24.00918,     38.16236,     +21.00262,      38.16640,      +21.00428,  3282526.13, -2431554.81,  4995424.01,      50.911202,       +1.298855,   87695.93,  208586.06,    7769.93,             9116.17,  -187.48,  23580.28,           24460.55,     -3.43,     -9.72,          10.20,  +1.69,  +0.09
  7,     UK002B,       0,  0.408034, 2459440.498715062160,  38.34325,  20.78649,               85.74774,  23.73595,        85.75576,       23.73678,     38.34325,     +20.78649,      38.33860,      +20.78216,  3282361.60, -2430935.53,  4994651.18,      50.910328,       +1.304294,   86780.16,  208537.08,    8773.85,            10120.09,  -208.04,  24963.23,           24463.58,      8.95,     25.36,          26.60,  +1.44,  -0.16
  8,     UK002B,       0,  0.448262, 2459440.498715527821,  38.53264,  20.56324,               85.76887,  23.45159,        85.79097,       23.45389,     38.53264,     +20.56324,      38.51688,      +20.55131,  3282190.86, -2430292.83,  4993849.11,      50.909420,       +1.309946,   85829.78,  208491.71,    9815.73,            11161.97,  -190.95,  25899.45,           24541.45,     24.70,     70.01,          73.45,  +1.89,  +0.29
  9,     UK002B,       0,  0.488462, 2459440.498715993017,  38.70257,  20.37652,               85.77734,  23.20633,        85.82110,       23.21091,     38.70257,     +20.37652,      38.66961,      +20.35287,  3282044.13, -2429740.57,  4993159.92,      50.908639,       +1.314780,   85013.13,  208455.31,   10711.00,            12057.24,  -319.75,  22270.36,           24482.99,     49.00,    138.88,         145.73,  +1.96,  +0.36
 10,     UK002B,       0,  0.528650, 2459440.498716458213,  38.82640,  20.14736,               85.85111,  22.95853,        85.85226,       22.95865,     38.82640,     +20.14736,      38.82773,      +20.14673,  3281891.90, -2429167.56,  4992444.84,      50.907829,       +1.319804,   84165.81,  208421.97,   11639.90,            12986.14,  -414.62,  23113.81,           24395.40,      1.29,      3.66,           3.84,  +2.45,  +0.86
  0,     UK002N,       1,  0.000000, 2459440.498710212763,  19.51375,  16.88693,              104.69462,  32.90515,       104.67358,       32.90546,     19.51375,     +16.88693,      19.52784,      +16.89835,  3284028.87, -2437211.18,  5002482.89,      50.919163,       +1.249291,   96060.80,  173699.12,       0.00,               53.38,   119.68,      0.00,           25185.71,    -18.51,    -50.25,          63.59,  +4.92,  +3.72
  1,     UK002N,       0,  0.040284, 2459440.498710678890,  19.77781,  16.62415,              104.65921,  32.54169,       104.66733,       32.54158,     19.77781,     +16.62415,      19.77252,      +16.61973,  3283844.38, -2436516.76,  5001616.28,      50.918188,       +1.255396,   95033.81,  173496.91,    1125.73,             1072.36,   112.45,  27944.93,           25185.71,      7.17,     19.46,          24.65,  +3.11,  +1.91
  2,     UK002N,       0,  0.080536, 2459440.498711145017,  19.97904,  16.38101,              104.66382,  32.23132,       104.66223,       32.23135,     19.97904,     +16.38101,      19.98045,      +16.38187,  3283687.27, -2435925.39,  5000878.28,      50.917357,       +1.260571,   94159.24,  173328.80,    2084.40,             2031.03,    45.72,  23816.73,           25185.71,     -1.41,     -3.82,           4.84,  +2.45,  +1.26
  3,     UK002N,       0,  0.120784, 2459440.498711610679,  20.19678,  16.14325,              104.64931,  31.91499,       104.65704,       31.91487,     20.19678,     +16.14325,      20.19206,      +16.13903,  3283527.33, -2435323.35,  5000126.96,      50.916511,       +1.265844,   93268.90,  173163.07,    3060.37,             3007.00,    -3.61,  24248.86,           25185.71,      6.85,     18.60,          23.62,  +2.64,  +1.45
  4,     UK002N,       0,  0.161064, 2459440.498712076806,  20.42059,  15.87559,              104.65105,  31.57159,       104.65135,       31.57158,     20.42059,     +15.87559,      20.42107,      +15.87543,  3283354.25, -2434671.89,  4999313.97,      50.915595,       +1.271565,   92305.48,  172990.48,    4116.45,             4063.08,    26.36,  26218.51,           25253.06,      0.26,      0.71,           0.91,  +1.87,  +0.68
  5,     UK002N,       0,  0.201336, 2459440.498712542932,  20.62940,  15.61044,              104.66339,  31.23904,       104.64592,       31.23930,     20.62940,     +15.61044,      20.64214,      +15.62003,  3283187.02, -2434042.40,  4998528.41,      50.914708,       +1.277089,   91374.58,  172829.29,    5136.91,             5083.53,    20.91,  25339.09,           25284.59,    -15.58,    -42.29,          53.79,  +1.69,  +0.50
  6,     UK002N,       0,  0.241596, 2459440.498713009059,  20.84392,  15.35628,              104.66199,  30.91143,       104.64063,       30.91174,     20.84392,     +15.35628,      20.85952,      +15.36803,  3283022.44, -2433422.94,  4997755.34,      50.913836,       +1.282523,   90458.50,  172676.20,    6141.13,             6087.75,    -0.47,  24943.34,           25259.29,    -19.10,    -51.85,          66.00,  +1.39,  +0.20
  7,     UK002N,       0,  0.281852, 2459440.498713474721,  21.09806,  15.12399,              104.60945,  30.57669,       104.63522,       30.57631,     21.09806,     +15.12399,      21.08159,      +15.10978,  3282854.23, -2432789.79,  4996965.21,      50.912944,       +1.288083,   89522.21,  172525.79,    7167.52,             7114.14,     0.42,  25496.59,           25268.52,     23.10,     62.69,          79.88,  +1.28,  +0.10
  8,     UK002N,       0,  0.322112, 2459440.498713940848,  21.26664,  14.86256,              104.65233,  30.27093,       104.63044,       30.27125,     21.26664,     +14.86256,      21.28303,      +14.87465,  3282701.40, -2432214.54,  4996247.32,      50.912133,       +1.293120,   88671.53,  172393.35,    8100.05,             8046.68,   -92.65,  23162.78,           25132.46,    -19.67,    -53.38,          68.07,  +1.15,  -0.03
  9,     UK002N,       0,  0.362356, 2459440.498714406509,  21.48637,  14.63599,              104.62477,  29.96122,       104.62560,       29.96121,     21.48637,     +14.63599,      21.48731,      +14.63553,  3282546.34, -2431630.87,  4995518.93,      50.911309,       +1.298235,   87808.40,  172264.14,    9046.24,             8992.87,  -171.65,  23511.38,           24974.82,      0.76,      2.05,           2.62,  +1.03,  -0.15
 10,     UK002N,       0,  0.402608, 2459440.498714872636,  21.70028,  14.39403,              104.61296,  29.64291,       104.62064,       29.64280,     21.70028,     +14.39403,      21.69666,      +14.38977,  3282387.34, -2431032.41,  4994772.07,      50.910465,       +1.303485,   86923.42,  172137.13,   10016.42,             9963.04,  -226.87,  24102.45,           24849.19,      6.93,     18.80,          24.01,  +1.23,  +0.05
 11,     UK002N,       0,  0.442892, 2459440.498715338763,  21.92807,  14.12295,              104.60949,  29.29332,       104.61510,       29.29323,     21.92807,     +14.12295,      21.92603,      +14.11983,  3282213.15, -2430376.75,  4993953.84,      50.909538,       +1.309254,   85953.88,  172005.05,   11079.30,            11025.93,  -190.20,  26384.85,           24835.79,      5.08,     13.79,          17.62,  +1.09,  -0.09
 12,     UK002N,       0,  0.483140, 2459440.498715804890,  22.13267,  13.88249,              104.60370,  28.98154,       104.61033,       28.98144,     22.13267,     +13.88249,      22.13008,      +13.87880,  3282057.90, -2429792.37,  4993224.56,      50.908713,       +1.314379,   85089.73,  171891.63,   12026.65,            11973.27,  -268.15,  23537.69,           24784.92,      6.01,     16.32,          20.87,  +1.37,  +0.19
 13,     UK002N,       0,  0.523376, 2459440.498716270551,  22.29615,  13.65116,              104.62660,  28.70167,       104.60620,       28.70198,     22.29615,     +13.65116,      22.31255,      +13.66255,  3281918.81, -2429268.84,  4992571.23,      50.907972,       +1.318954,   84315.56,  171793.32,   12875.34,            12821.96,  -444.45,  21092.74,           24647.52,    -18.55,    -50.34,          64.41,  +2.60,  +1.42
 14,     UK002N,       0,  0.563592, 2459440.498716735747,  22.48817,  13.44691,              104.60516,  28.42561,       104.60216,       28.42565,     22.48817,     +13.44691,      22.49262,      +13.44859,  3281781.43, -2428751.74,  4991925.91,      50.907241,       +1.323472,   83550.89,  171700.12,   13713.60,            13660.23,  -630.66,  20844.15,           24463.25,     -2.73,     -7.41,           9.49,  +3.10,  +1.93

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.