Orbital Analysis for matched events on 20210813_010934.308_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 45.83° Bg 26.59° Vg 76.09km/s
mass 0.00970g, abs. mag 0.1
Path Details
------------
start 1.89° 51.58° 110.52km
end   1.73° 51.57° 94.73km

Orbit Details
-------------
Semimajor axis -0.97A.U., eccentricity 2.04, inclination 138.46°, Period 1000000000.00Y, LA Sun 140.23°, 

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: 2459439.548313750420
Time: 2021-08-13 01:09:34.317612 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 0.76769 deg
 R.A. =  30.40518  Dec = +36.37266 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 0.77 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3820146.75 +/- 4385.12 m
 Y =  -1316626.29 +/- 1135.81 m
 Z =   5060335.69 +/- 202.07 m
 Vx =    47692.83 +/- 29352.93 m/s
 Vy =    31555.13 +/- 8817.29 m/s
 Vz =    51398.99 +/- 24626.20 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000F: 0.000000 s
    UK002K: -0.016194 s
    UK0032: -0.002964 s

Reference point on the trajectory:
  Time: 2021-08-13 01:09:34.317612 UTC
  Lon     = ++1.892645 +/- 0.0354 deg
  Lat     = +51.576995 +/- 0.0272 deg
  Lat geo = +51.392680 +/- 0.0272 deg
  Ht      =  110550.72 +/- 2192.53 m

  JD dynamic   = 2459439.549114602152 
  LST apparent = 340.9833176724 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  33.48992 +/- 18.6361 deg
  Dec       = +41.94891 +/- 14.0510 deg
  Azimuth   =  84.12047 +/- 26.2157 deg
  Elevation = +53.61399 +/- 3.6629 deg
  Vavg      =  70.62322 +/- 16.8584 km/s
  Vinit     =  76.89076 +/- 17.2179 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  33.66888 +/- 18.6361 deg
  Dec       = +41.83259 +/- 14.0510 deg
  Azimuth   =  84.15814 +/- 26.2157 deg
  Elevation = +53.43855 +/- 3.6629 deg
  Vavg      =  70.79747 +/- 16.8584 km/s
  Vinit     =  77.06500 +/- 17.2179 km/s
Radiant (geocentric, J2000):
  R.A.   =  33.37549 +/- 18.8046 deg
  Dec    = +41.73909 +/- 14.0333 deg
  Vg     =  76.08603 +/- 17.3750 km/s
  Vinf   =  76.89076 +/- 17.2179 km/s
  Zc     =  36.40529 +/- 3.6714 deg
  Zg     =  36.60351 +/- 3.7085 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  45.82901 +/- 16.9664 deg
  Bg     = +26.58578 +/- 10.3815 deg
  Vh     =  51.65098 +/- 14.0046 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  42.03658 +/- 31.1885 deg
  Bh     = +41.24394 +/- 15.2537 deg
  Vh_x   = -28.84482 +/- 28.0066 km/s
  Vh_y   = -26.00536 +/- 4.6039 km/s
  Vh_z   = -34.05175 +/- 5.6253 km/s
Orbit:
  La Sun = 140.234891 +/- 0.0000 deg
  a      =  -0.967715 +/- 1.2300 AU
  e      =   2.038039 +/- 1.8324
  i      = 138.464313 +/- 20.7856 deg
  peri   = 189.170450 +/- 23.9003 deg
  node   = 140.232169 +/- 0.0033 deg
  Pi     = 329.402619 +/- 23.8975 deg
  q      =   1.004526 +/- 0.0592 AU
  f      = 350.824376 +/- 23.9024 deg
  M      =        nan +/- nan deg
  Q      =  -2.939957 +/- 2.4678 AU
  n      =   1.035340 +/- 5.2052 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -6.524312 +/- 11.2113
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.711701
 a2 = 27.200831

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 9.172e-06 s
  Stddev    = 3.03e-03 s

Begin point on the trajectory:
  Lon =     1.892325 +/- 0.0356 deg
  Lat =    51.576975 +/- 0.0272 deg
  Ht  = 110515.31 +/- 2210.95 m
End point on the trajectory:
  Lon =     1.726584 +/- 0.0333 deg
  Lat =    51.566300 +/- 0.0330 deg
  Ht  = 94727.29 +/- 1688.85 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
    UK000F,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    11916.16,     3085.29,         20.841369,       nan,       nan,              27.86, 0.0000,    True,    True, {"ff_name": "FF_UK000F_20210813_010925_737_0422144.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   107595.01,    94727.29,          0.006591,     32.71,      1.16,              52.55, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_010925_581_0440320.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   110515.31,    98408.61,          0.009472,     37.52,      1.69,              45.62, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_010932_050_0446464.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,     UK000F,       1, -0.982713, 2459439.548302376177,  34.16045,  -6.80397,              121.45165,  14.25222,       104.87696,        3.66348,     34.16045,      -6.80397,      53.74992,       -6.19344,  3743830.68, -1367119.50,  4978089.17,      51.505271,       +0.853001,   11916.16,  155687.14,       0.00,           123037.38, 199107.73,     -0.00,           34802.43,  18244.57,  48595.96,       70113.54,  +3.56,  +2.60
  1,     UK000F,       1, -0.942405, 2459439.548302842770,  33.92033,  -7.12139,              121.83354,  14.10912,       104.99459,        3.29933,     33.92033,      -7.12139,      53.87547,       -6.55519,  3743011.96, -1367661.19,  4977206.83,      51.504439,       +0.841479,   10862.59,  154859.02,    1319.94,           124357.32, 197328.35,  32746.27,           34802.43,  18228.47,  49251.95,       71365.43,  +2.15,  +1.20
  2,     UK000F,       1, -0.902081, 2459439.548303309362,  33.72856,  -7.46467,              122.18677,  13.91790,       105.11555,        2.92452,     33.72856,      -7.46467,      54.00491,       -6.92747,  3742178.31, -1368212.76,  4976308.40,      51.503590,       +0.829746,    9789.88,  154023.17,    2663.95,           125701.34, 195571.82,  33330.47,           34802.43,  18210.71,  49769.83,       72453.11,  +1.76,  +0.82
  3,     UK000F,       1, -0.861697, 2459439.548303776886,  33.49234,  -7.86679,              122.60958,  13.69898,       105.25795,        2.48220,     33.49234,      -7.86679,      54.15807,       -7.36660,  3741206.11, -1368856.00,  4975260.64,      51.502598,       +0.816087,    8539.01,  153059.53,    4231.35,           127268.73, 194034.07,  38812.34,           34802.43,  18184.04,  50400.25,       73767.90,  +1.67,  +0.75
  4,     UK000F,       1, -0.821353, 2459439.548304243945,  33.29576,  -8.23227,              122.97718,  13.48972,       105.38564,        2.08582,     33.29576,      -8.23227,      54.29546,       -7.76016,  3740345.09, -1369425.68,  4974332.72,      51.501718,       +0.803967,    7431.28,  152213.34,    5619.50,           128656.88, 192320.13,  34407.68,           35075.77,  18157.30,  50916.30,       74887.20,  +1.00,  +0.09
  5,     UK000F,       1, -0.780989, 2459439.548304711003,  33.03638,  -8.61317,              123.40659,  13.29886,       105.52365,        1.65685,     33.03638,      -8.61317,      54.44451,       -8.18596,  3739423.92, -1370035.15,  4973339.97,      51.500774,       +0.791009,    6246.29,  151317.82,    7104.60,           130141.99, 190701.62,  36792.89,           35399.28,  18116.89,  51590.73,       76260.13,  +0.97,  +0.07
  6,     UK000F,       1, -0.740645, 2459439.548305178061,  32.85071,  -8.98156,              123.76441,  13.07975,       105.65081,        1.26179,     32.85071,      -8.98156,      54.58196,       -8.57811,  3738585.07, -1370590.17,  4972435.93,      51.499914,       +0.779189,    5167.27,  150509.56,    8457.01,           131494.40, 188951.95,  33521.94,           35313.64,  18083.77,  52062.88,       77329.57,  +0.95,  +0.06
  7,     UK000F,       1, -0.700305, 2459439.548305645119,  32.62425,  -9.34100,              124.15188,  12.88836,       105.77910,        0.86312,     32.62425,      -9.34100,      54.72096,       -8.97379,  3737747.54, -1371144.30,  4971533.32,      51.499053,       +0.767384,    4090.04,  149710.53,    9807.28,           132844.66, 187200.44,  33472.11,           35124.54,  18039.52,  52634.87,       78543.39,  +1.61,  +0.73
  8,     UK000F,       1, -0.659997, 2459439.548306111246,  32.33708,  -9.65518,              124.56707,  12.76570,       105.90006,        0.48742,     32.33708,      -9.65518,      54.85216,       -9.34668,  3736966.31, -1371661.19,  4970691.38,      51.498249,       +0.756359,    3085.29,  148971.76,   11066.79,           134104.17, 185360.64,  31247.14,           34778.09,  17976.98,  53357.96,       79945.89,  +4.02,  +3.15
  0,     UK002K,       1,  0.000000, 2459439.548313930631,  12.56242,  -9.21179,              143.91123,  21.00322,       143.90449,       20.99797,     12.56242,      -9.21179,      12.57027,       -9.21446,  3819675.55, -1316938.05,  5059827.87,      51.576587,       +1.886262,  109934.58,  290846.97,       0.00,              759.67,  1268.45,      0.00,           64710.37,     -1.47,     41.60,          29.52,  +5.24,  +2.92
  1,     UK002K,       0,  0.040220, 2459439.548314396292,  12.40517,  -9.65592,              144.23445,  20.64260,       144.22762,       20.63729,     12.40517,      -9.65592,      12.41330,       -9.65863,  3817872.99, -1318130.69,  5057885.23,      51.575023,       +1.861765,  107595.01,  289168.67,    2906.11,             3665.78,  1082.01,  72255.33,           64710.37,     -1.49,     41.90,          29.91,  +1.53,  -0.78
  2,     UK002K,       0,  0.080396, 2459439.548314861022,  12.28155, -10.00476,              144.48708,  20.35881,       144.48067,       20.35384,     12.28155,     -10.00476,      12.28937,      -10.00731,  3816472.36, -1319057.39,  5056375.76,      51.573802,       +1.842683,  105777.34,  287876.82,    5164.21,             5923.88,   250.95,  56205.17,           64710.37,     -1.39,     39.15,          28.07,  +1.66,  -0.64
  3,     UK002K,       0,  0.120612, 2459439.548315326683,  12.13841, -10.43750,              144.78883,  20.00259,       144.79069,       20.00403,     12.13841,     -10.43750,      12.13674,      -10.43676,  3814763.86, -1320187.79,  5054534.50,      51.572309,       +1.819429,  103560.56,  286318.71,    7918.67,             8678.34,   -86.83,  68491.63,           64710.37,      0.40,    -11.31,           8.15,  +1.13,  -1.15
  4,     UK002K,       0,  0.160844, 2459439.548315792345,  11.96146, -10.91292,              145.13760,  19.61711,       145.13378,       19.61416,     11.96146,     -10.91292,      11.96661,      -10.91445,  3812884.49, -1321431.24,  5052509.09,      51.570660,       +1.793850,  101122.58,  284626.49,   10948.60,            11708.27,  -150.37,  75311.44,           66927.05,     -0.82,     23.10,          16.75,  +1.16,  -1.11
  5,     UK002K,       0,  0.201104, 2459439.548316258006,  11.78580, -11.43415,              145.49959,  19.18723,       145.50387,       19.19054,     11.78580,     -11.43415,      11.78161,      -11.43243,  3810870.86, -1322763.52,  5050338.98,      51.568885,       +1.766436,   98511.01,  282838.76,   14194.99,            14954.66,     0.40,  80635.63,           69521.16,      0.91,    -25.76,          18.80,  +1.11,  -1.15
  6,     UK002K,       0,  0.241296, 2459439.548316723201,  11.64049, -11.83129,              145.78488,  18.86284,       145.78736,       18.86475,     11.64049,     -11.83129,      11.63859,      -11.83029,  3809341.14, -1323775.63,  5048690.39,      51.567532,       +1.745557,   96527.30,  281496.73,   16661.22,            17420.89,  -623.77,  61361.16,           69573.18,      0.52,    -14.83,          10.87,  +1.11,  -1.14
  7,     UK002K,       0,  0.281464, 2459439.548317188397,  11.49570, -12.19113,              146.05484,  18.57272,       146.04620,       18.56607,     11.49570,     -12.19113,      11.50706,      -12.19460,  3807952.90, -1324694.14,  5047194.27,      51.566300,       +1.726584,   94727.29,  280291.60,   18899.35,            19659.02, -1474.18,  55719.25,           68441.90,     -1.84,     51.55,          37.96,  +1.67,  -0.57
  0,     UK0032,       0,  0.006619, 2459439.548313861247,  14.45314,  -2.26350,              139.36369,  27.31635,       139.37304,       27.32391,     14.45314,      -2.26350,      14.44250,       -2.25981,  3820123.05, -1316641.97,  5060310.14,      51.576975,       +1.892325,  110515.31,  233530.02,       0.00,               38.21,    38.03,      0.00,           76887.74,      2.06,    -45.73,          40.43,  +2.65,  +0.81
  1,     UK0032,       0,  0.046751, 2459439.548314325511,  14.25869,  -2.78520,              139.79361,  26.91203,       139.79527,       26.91336,     14.25869,      -2.78520,      14.25695,       -2.78455,  3818233.07, -1317892.45,  5058273.29,      51.575336,       +1.866652,  108062.19,  231474.13,    3047.04,             3085.25,    -0.71,  75925.46,           76887.74,      0.36,     -8.03,           7.17,  +1.83,  +0.01
  2,     UK0032,       0,  0.086899, 2459439.548314790241,  14.05782,  -3.34630,              140.24387,  26.47244,       140.24380,       26.47238,     14.05782,      -3.34630,      14.05821,       -3.34633,  3816245.88, -1319207.23,  5056131.68,      51.573605,       +1.839649,  105483.44,  229336.80,    6250.80,             6289.01,   116.04,  79798.76,           76887.74,     -0.02,      0.34,           0.31,  +1.28,  -0.52
  3,     UK0032,       0,  0.127051, 2459439.548315254971,  13.88198,  -3.88071,              140.65345,  26.04644,       140.66413,       26.05500,     13.88198,      -3.88071,      13.87029,       -3.87647,  3814403.70, -1320426.09,  5054146.34,      51.571993,       +1.814586,  103093.32,  227377.50,    9220.79,             9259.00,    -1.29,  73968.63,           76887.74,      2.30,    -50.99,          46.30,  +1.04,  -0.74
  4,     UK0032,       0,  0.167195, 2459439.548315719701,  13.65552,  -4.47330,              141.13609,  25.58448,       141.13414,       25.58292,     13.65552,      -4.47330,      13.65839,       -4.47408,  3812364.01, -1321775.61,  5051948.16,      51.570202,       +1.786836,  100447.53,  225234.87,   12509.19,            12547.40,   200.40,  81915.02,           77698.26,     -0.42,      9.23,           8.46,  +1.04,  -0.72
  5,     UK0032,       0,  0.207331, 2459439.548316184431,  13.50531,  -4.94753,              141.48775,  25.20188,       141.50053,       25.21207,     13.50531,      -4.94753,      13.49153,       -4.94244,  3810791.94, -1322815.74,  5050253.93,      51.568815,       +1.765395,   98408.61,  223601.09,   15043.68,            15081.90,  -351.19,  63147.73,           75851.67,      2.71,    -60.06,          55.46,  +1.25,  -0.50

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.