Orbital Analysis for matched events on 20210816_212942.385_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 309.38° Bg 69.60° Vg 22.85km/s
mass 0.16564g, abs. mag -0.2
Path Details
------------
start 1.22° 52.16° 91.21km
end   1.22° 52.16° 82.21km

Orbit Details
-------------
Semimajor axis 3.66A.U., eccentricity 0.74, inclination 34.29°, Period 7.01Y, LA Sun 143.93°, last Perihelion 2014-09-02

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: 2459443.395629464183
Time: 2021-08-16 21:29:42.423444 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 8.12252 deg
 R.A. = 289.83947  Dec = +49.57797 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 8.12 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1304202.85 +/- 229.15 m
 Y =  -3757657.70 +/- 209.85 m
 Z =   5086588.43 +/- 49.01 m
 Vx =     5630.02 +/- 1240.39 m/s
 Vy =   -15681.37 +/- 104.54 m/s
 Vz =    19187.50 +/- 1210.75 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.955626e+04, -4.516121e+04, +3.999061e+03, +1.964053e+05, -1.783838e+05, +1.383218e+04
-4.516121e+04, +4.181804e+04, -4.665283e+03, -1.763842e+05, +1.600751e+05, -1.165353e+04
+3.999061e+03, -4.665283e+03, +2.673046e+03, +9.140447e+03, -6.589971e+03, -5.256123e+02
+1.964053e+05, -1.763842e+05, +9.140447e+03, +1.118518e+06, -9.906642e+05, +2.956624e+04
-1.783838e+05, +1.600751e+05, -6.589971e+03, -9.906642e+05, +8.898141e+05, -3.914191e+04
+1.383218e+04, -1.165353e+04, -5.256123e+02, +2.956624e+04, -3.914191e+04, +2.291218e+04

Timing offsets (from input data):
    UK002K: 0.000150 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 21:29:42.423444 UTC
  Lon     = ++1.224259 +/- 0.0021 deg
  Lat     = +52.159631 +/- 0.0018 deg
  Lat geo = +51.975697 +/- 0.0018 deg
  Ht      =   92226.72 +/- 186.63 m

  JD dynamic   = 2459443.396430641878 
  LST apparent = 289.1407973261 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 289.74946 +/- 3.3861 deg
  Dec       = +49.03069 +/- 2.3338 deg
  Azimuth   = 172.72426 +/- 47.5410 deg
  Elevation = +86.84733 +/- 1.9845 deg
  Vavg      =  24.38640 +/- 0.6531 km/s
  Vinit     =  25.41186 +/- 0.7790 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 290.74655 +/- 3.3861 deg
  Dec       = +49.02115 +/- 2.3338 deg
  Azimuth   = 161.38161 +/- 47.5410 deg
  Elevation = +86.70033 +/- 1.9845 deg
  Vavg      =  24.39007 +/- 0.6531 km/s
  Vinit     =  25.41553 +/- 0.7790 km/s
Radiant (geocentric, J2000):
  R.A.   = 289.63233 +/- 3.6299 deg
  Dec    = +48.83391 +/- 2.4759 deg
  Vg     =  22.85400 +/- 0.8784 km/s
  Vinf   =  25.41186 +/- 0.7790 km/s
  Zc     =   2.97031 +/- 2.0574 deg
  Zg     =   3.12776 +/- 2.2028 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 309.38391 +/- 4.9059 deg
  Bg     = +69.60143 +/- 3.0767 deg
  Vh     =  38.86185 +/- 0.5744 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 248.30176 +/- 2.4298 deg
  Bh     = +33.44984 +/- 0.4539 deg
  Vh_x   =  11.98815 +/- 1.0726 km/s
  Vh_y   =  30.12760 +/- 0.8843 km/s
  Vh_z   = -21.42091 +/- 0.5562 km/s
Orbit:
  La Sun = 143.930985 +/- -0.0000 deg
  a      =   3.664120 +/- 0.4160 AU
  e      =   0.737655 +/- 0.0522
  i      =  34.292015 +/- 0.6420 deg
  peri   = 208.254519 +/- 4.1340 deg
  node   = 143.936386 +/- 0.0001 deg
  Pi     = 352.190905 +/- 4.1338 deg
  q      =   0.961263 +/- 0.0117 AU
  f      = 331.738765 +/- 4.1339 deg
  M      = 357.016483 +/- 0.3918 deg
  Q      =   6.366978 +/- 0.8431 AU
  n      =   0.140524 +/- 0.0432 deg/day
  T      =   7.013830 +/- 1.0805 years
  Last perihelion JD = 2456902.781820 (2014-09-02 06:45:49.261571) +/- 392.2831 days
  Tj     =   2.356440 +/- 0.2528
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.605127e-03, -5.620052e-04, -2.036453e+01, -1.207892e-07, +3.168526e-03, +5.508011e-04
q   , -5.620052e-04, +1.282441e-04, +4.347801e+00, +2.544910e-08, -7.348740e-04, -1.159703e-04
Tp  , -2.036453e+01, +4.347801e+00, +1.672212e+05, +9.410566e-04, -2.359899e+01, -4.309952e+00
node, -1.207892e-07, +2.544910e-08, +9.410566e-04, +5.795148e-12, -1.429827e-07, -2.642334e-08
peri, +3.168526e-03, -7.348740e-04, -2.359899e+01, -1.429827e-07, +4.346037e-03, +6.492957e-04
i   , +5.508011e-04, -1.159703e-04, -4.309952e+00, -2.642334e-08, +6.492957e-04, +1.205266e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000007
 a2 = 43.914582

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 1.994e-05 s
  Stddev    = 4.46e-03 s

Begin point on the trajectory:
  Lon =     1.224156 +/- 0.0018 deg
  Lat =    52.160123 +/- 0.0015 deg
  Ht  = 91209.93 +/- 107.56 m
End point on the trajectory:
  Lon =     1.221728 +/- 0.0027 deg
  Lat =    52.164484 +/- 0.0023 deg
  Ht  = 82214.23 +/- 187.49 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.009196,  26.151580,    91209.93,    82325.57,          0.006452,     23.32,      1.99,              64.34, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210816_212935_076_0124928.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000001,  48.108169,    90954.88,    82214.23,          0.019296,     50.35,      7.56,              54.47, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210816_212935_967_0130560.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,     UK002K,       0,  0.037921, 2459443.395629900973, 319.81402,  -5.62822,              144.12699,  24.90682,       144.12834,       24.90678,    319.81402,      -5.62822,     319.81304,       -5.62868,  1303977.24, -3757029.31,  5085819.54,      52.160123,       +1.224156,   91209.93,  209847.04,       0.00,             1018.32,   -30.30,      0.00,           26442.46,      0.38,      4.48,           4.42,  +3.68,  +2.07
  1,     UK002K,       0,  0.078105, 2459443.395630366169, 319.89879,  -5.83441,              144.11946,  24.68415,       144.12409,       24.68403,    319.89879,      -5.83441,     319.89519,       -5.83599,  1303769.43, -3756450.48,  5085111.29,      52.160577,       +1.223894,   90273.33,  209382.46,     938.00,             1956.32,  -113.45,  23342.61,           26442.46,      1.31,     15.34,          15.17,  +3.11,  +1.51
  2,     UK002K,       0,  0.118333, 2459443.395630831830, 319.98685,  -6.10409,              144.13308,  24.40088,       144.11797,       24.40127,    319.98685,      -6.10409,     320.00017,       -6.09889,  1303507.14, -3755719.93,  5084217.41,      52.161149,       +1.223607,   89091.23,  208802.20,    2121.86,             3140.18,    48.14,  29428.67,           26442.46,     -4.27,    -50.01,          49.59,  +2.61,  +1.01
  3,     UK002K,       0,  0.158541, 2459443.395631297026, 320.09313,  -6.32734,              144.11032,  24.15475,       144.11302,       24.15468,    320.09313,      -6.32734,     320.09150,       -6.32827,  1303279.49, -3755085.84,  5083441.54,      52.161647,       +1.223336,   88065.17,  208301.91,    3149.42,             4167.74,    53.94,  25556.10,           26442.46,      0.76,      8.92,           8.86,  +3.16,  +1.57
  4,     UK002K,       0,  0.198721, 2459443.395631762221, 320.17170,  -6.53324,              144.10931,  23.93455,       144.10894,       23.93456,    320.17170,      -6.53324,     320.17284,       -6.53311,  1303077.11, -3754522.15,  5082751.82,      52.162089,       +1.223076,   87153.03,  207859.76,    4062.88,             5081.20,   -53.65,  22734.18,           25712.25,     -0.10,     -1.20,           1.19,  +2.84,  +1.25
  5,     UK002K,       0,  0.238945, 2459443.395632227417, 320.26993,  -6.78580,              144.10628,  23.66381,       144.10330,       23.66389,    320.26993,      -6.78580,     320.27347,       -6.78478,  1302829.58, -3753832.70,  5081908.22,      52.162630,       +1.222796,   86037.37,  207324.49,    5180.14,             6198.46,    41.45,  27776.02,           25798.51,     -0.84,     -9.83,           9.81,  +1.66,  +0.08
  6,     UK002K,       0,  0.279153, 2459443.395632693078, 320.37532,  -7.01556,              144.08739,  23.41195,       144.09828,       23.41166,    320.37532,      -7.01556,     320.36716,       -7.01934,  1302600.00, -3753193.26,  5081125.81,      52.163131,       +1.222524,   85002.62,  206831.75,    6216.36,             7234.69,    55.91,  25771.57,           25826.43,      3.07,     35.95,          35.99,  +1.81,  +0.23
  7,     UK002K,       1,  0.319305, 2459443.395633157808, 320.40758,  -7.21342,              144.13040,  23.21544,       144.09506,       23.21637,    320.40758,      -7.21342,     320.43924,       -7.20115,  1302422.84, -3752699.81,  5080522.02,      52.163519,       +1.222276,   84204.07,  206452.88,    7016.01,             8034.33,  -164.78,  19915.48,           25346.19,     -9.93,   -116.65,         116.97,  +2.01,  +0.44
  8,     UK002K,       0,  0.359541, 2459443.395633623470, 320.54579,  -7.45793,              144.08426,  22.93836,       144.08928,       22.93823,    320.54579,      -7.45793,     320.54297,       -7.45968,  1302171.92, -3752000.91,  5079666.87,      52.164068,       +1.221994,   83073.09,  205922.91,    8148.58,             9166.90,   -54.68,  28148.18,           25308.95,      1.42,     16.57,          16.66,  +1.86,  +0.29
  9,     UK002K,       0,  0.399693, 2459443.395634088200, 320.61451,  -7.62924,              144.08043,  22.75404,       144.08644,       22.75388,    320.61451,      -7.62924,     320.61100,       -7.63134,  1302006.08, -3751539.01,  5079101.69,      52.164430,       +1.221751,   82325.57,  205573.28,    8897.09,             9915.41,  -326.50,  18641.97,           24926.83,      1.69,     19.82,          19.96,  +4.67,  +3.11
  0,     UK0032,       1,  0.000000, 2459443.395629464183, 321.95588,   6.33674,              136.71160,  35.71975,       136.81807,       35.71616,    321.95588,      +6.33674,     321.87825,       +6.29761,  1304212.97, -3757685.89,  5086622.93,      52.159609,       +1.224421,   92272.33,  155930.03,       0.00,               45.68,   -39.28,      0.00,           25815.61,     35.27,    232.79,         311.45,  +4.86,  +3.90
  1,     UK0032,       0,  0.040260, 2459443.395629930310, 322.05838,   5.96817,              136.78557,  35.34212,       136.80316,       35.34154,    322.05838,      +5.96817,     322.04566,       +5.96169,  1303920.65, -3756871.68,  5085626.67,      52.160247,       +1.224120,   90954.88,  155089.60,    1319.44,             1273.76,   165.71,  32773.00,           25815.61,      5.79,     38.44,          51.70,  +4.07,  +3.12
  2,     UK0032,       0,  0.080448, 2459443.395630395506, 322.16169,   5.74610,              136.78373,  35.09743,       136.79485,       35.09706,    322.16169,      +5.74610,     322.15385,       +5.74200,  1303731.11, -3756343.76,  5084980.71,      52.160660,       +1.223866,   90100.65,  154546.03,    2174.95,             2129.26,    -0.03,  21287.58,           25815.61,      3.66,     24.30,          32.79,  +2.31,  +1.36
  3,     UK0032,       0,  0.120664, 2459443.395630860701, 322.26866,   5.47664,              136.80167,  34.80808,       136.78446,       34.80864,    322.26866,      +5.47664,     322.28184,       +5.48301,  1303509.42, -3755726.29,  5084225.18,      52.161144,       +1.223598,   89101.51,  153914.93,    3175.56,             3129.88,   -21.38,  24881.09,           25815.61,     -5.65,    -37.56,          50.90,  +2.33,  +1.39
  4,     UK0032,       0,  0.160876, 2459443.395631326362, 322.40566,   5.25592,              136.76182,  34.55068,       136.77564,       34.55022,    322.40566,      +5.25592,     322.39613,       +5.25079,  1303312.18, -3755176.89,  5083552.95,      52.161575,       +1.223340,   88212.50,  153355.99,    4065.87,             4020.19,  -152.94,  22140.23,           24836.24,      4.54,     30.14,          41.00,  +1.79,  +0.86
  5,     UK0032,       0,  0.201148, 2459443.395631792489, 322.56499,   4.94682,              136.74191,  34.20362,       136.76260,       34.20293,    322.56499,      +4.94682,     322.55048,       +4.93911,  1303049.76, -3754445.97,  5082658.61,      52.162148,       +1.223053,   87029.76,  152619.38,    5250.33,             5204.65,     8.14,  29411.61,           25210.93,      6.79,     45.11,          61.65,  +1.42,  +0.50
  6,     UK0032,       0,  0.241372, 2459443.395632257685, 322.68485,   4.68157,              136.74324,  33.91272,       136.75242,       33.91242,    322.68485,      +4.68157,     322.67902,       +4.67814,  1302831.95, -3753839.32,  5081916.32,      52.162624,       +1.222786,   86048.07,  152011.20,    6233.42,             6187.74,   -30.94,  24440.36,           25262.11,      3.01,     20.00,          27.45,  +1.33,  +0.42
  7,     UK0032,       0,  0.281608, 2459443.395632723346, 322.80533,   4.39153,              136.75608,  33.59897,       136.74127,       33.59946,    322.80533,      +4.39153,     322.81757,       +4.39708,  1302599.33, -3753191.40,  5081123.53,      52.163133,       +1.222513,   84999.60,  151366.44,    7283.38,             7237.70,    -3.45,  26095.11,           25352.87,     -4.85,    -32.26,          44.45,  +1.57,  +0.67
  8,     UK0032,       0,  0.321860, 2459443.395633189473, 322.97289,   4.12964,              136.70365,  33.29141,       136.73042,       33.29052,    322.97289,      +4.12964,     322.95418,       +4.11957,  1302371.60, -3752557.08,  5080347.39,      52.163631,       +1.222241,   83973.12,  150739.48,    8311.30,             8265.62,     1.60,  25537.11,           25407.51,      8.77,     58.26,          80.62,  +1.46,  +0.57
  9,     UK0032,       0,  0.362064, 2459443.395633654669, 323.04278,   3.83303,              136.77435,  32.99253,       136.72027,       32.99430,    323.04278,      +3.83303,     323.08495,       +3.85340,  1302154.93, -3751953.61,  5079608.98,      52.164105,       +1.221975,   82996.54,  150146.80,    9289.24,             9243.56,   -42.12,  24324.43,           25376.28,    -17.63,   -117.64,         163.42,  +1.41,  +0.53
 10,     UK0032,       0,  0.402264, 2459443.395634119865, 323.18244,   3.63591,              136.72029,  32.75542,       136.71292,       32.75566,    323.18244,      +3.63591,     323.18968,       +3.63869,  1301981.38, -3751470.21,  5079017.51,      52.164484,       +1.221728,   82214.23,  149673.66,   10072.59,            10026.91,  -280.33,  19486.33,           25091.74,     -2.41,    -16.02,          22.33,  +4.24,  +3.36

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.