Orbital Analysis for matched events on 20210810_013103.388_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 39.59° Bg -1.97° Vg 68.76km/s
mass 0.01464g, abs. mag -0.5
Path Details
------------
start -3.12° 52.49° 101.39km
end   -3.38° 52.53° 91.34km

Orbit Details
-------------
Semimajor axis 5.71A.U., eccentricity 0.83, inclination 176.50°, Period 13.63Y, LA Sun 137.37°, last Perihelion 2008-01-14

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: 2459436.563233666588
Time: 2021-08-10 01:31:03.388793 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK0027
 Convergence angle = 28.62331 deg
 R.A. =  37.98278  Dec = +13.14783 deg

Best intersection: Stations UK001L and UK0027 with Qconv = 28.62 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3676290.12 +/- 47.13 m
 Y =  -1455609.58 +/- 83.47 m
 Z =   5116355.25 +/- 77.41 m
 Vx =    53529.67 +/- 239.56 m/s
 Vy =    41598.23 +/- 371.57 m/s
 Vz =    15968.90 +/- 499.56 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.345991e+03, +3.227431e+03, -1.809698e+03, +1.565473e+03, +3.738027e+03, -5.921296e+03
+3.227431e+03, +7.482219e+03, -6.252370e+03, +4.993078e+03, +1.996465e+04, -2.360514e+04
-1.809698e+03, -6.252370e+03, +6.517819e+03, -5.679967e+03, -2.152167e+04, +2.534719e+04
+1.565473e+03, +4.993078e+03, -5.679967e+03, +1.348125e+04, +3.830596e+04, -4.484611e+04
+3.738027e+03, +1.996465e+04, -2.152167e+04, +3.830596e+04, +1.429218e+05, -1.527146e+05
-5.921296e+03, -2.360514e+04, +2.534719e+04, -4.484611e+04, -1.527146e+05, +1.698472e+05

Timing offsets (from input data):
    UK001L: 0.000457 s
    UK0027: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:31:03.388793 UTC
  Lon     = +-3.120496 +/- 0.0013 deg
  Lat     = +52.485903 +/- 0.0004 deg
  Lat geo = +52.302769 +/- 0.0004 deg
  Ht      =  101365.90 +/- 68.12 m

  JD dynamic   = 2459436.564034407493 
  LST apparent = 338.3991464224 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  37.85100 +/- 0.1955 deg
  Dec       = +13.25469 +/- 0.3791 deg
  Azimuth   = 106.78172 +/- 0.1070 deg
  Elevation = +28.89004 +/- 0.4134 deg
  Vavg      =  66.93161 +/- 0.1859 km/s
  Vinit     =  69.64800 +/- 0.2170 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  37.97440 +/- 0.1955 deg
  Dec       = +13.20799 +/- 0.3791 deg
  Azimuth   = 106.70385 +/- 0.1070 deg
  Elevation = +28.78069 +/- 0.4134 deg
  Vavg      =  67.17348 +/- 0.1859 km/s
  Vinit     =  69.88987 +/- 0.2170 km/s
Radiant (geocentric, J2000):
  R.A.   =  37.82576 +/- 0.1956 deg
  Dec    = +12.81238 +/- 0.3799 deg
  Vg     =  68.75725 +/- 0.2198 km/s
  Vinf   =  69.64800 +/- 0.2170 km/s
  Zc     =  61.05723 +/- 0.4131 deg
  Zg     =  61.49214 +/- 0.4139 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  39.58606 +/- 0.0782 deg
  Bg     =  -1.97079 +/- 0.4181 deg
  Vh     =  39.93421 +/- 0.2287 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  33.44726 +/- 0.1564 deg
  Bh     =  -3.39296 +/- 0.7068 deg
  Vh_x   = -33.26244 +/- 0.1149 km/s
  Vh_y   = -21.97192 +/- 0.1842 km/s
  Vh_z   =   2.36345 +/- 0.5142 km/s
Orbit:
  La Sun = 137.369804 +/- 0.0000 deg
  a      =   5.706009 +/- 1.1512 AU
  e      =   0.833619 +/- 0.0195
  i      = 176.503705 +/- 0.7249 deg
  peri   =  30.703620 +/- 0.7041 deg
  node   = 317.428925 +/- 0.0068 deg
  Pi     = 348.132545 +/- 0.7106 deg
  q      =   0.949370 +/- 0.0021 AU
  f      = 329.354480 +/- 0.6977 deg
  M      = 358.394435 +/- 0.2758 deg
  Q      =  10.462649 +/- 2.3006 AU
  n      =   0.072311 +/- 0.0115 deg/day
  T      =  13.630109 +/- 4.8115 years
  Last perihelion JD = 2454480.283448 (2008-01-14 18:48:09.902692) +/- 1757.9664 days
  Tj     =  -0.242484 +/- 0.1142
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.898213e-04, +3.927503e-05, -3.334778e+01, -2.344049e-06, -2.348780e-04, -2.519814e-04
q   , +3.927503e-05, +4.783652e-06, -3.299917e+00, -2.428951e-07, -2.722532e-05, -2.577007e-05
Tp  , -3.334778e+01, -3.299917e+00, +3.034553e+06, +1.898595e-01, +1.979813e+01, +2.129730e+01
node, -2.344049e-06, -2.428951e-07, +1.898595e-01, +1.512081e-08, +1.444308e-06, +1.556809e-06
peri, -2.348780e-04, -2.722532e-05, +1.979813e+01, +1.444308e-06, +1.568708e-04, +1.535777e-04
i   , -2.519814e-04, -2.577007e-05, +2.129730e+01, +1.556809e-06, +1.535777e-04, +1.655381e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.961411
 a2 = 21.585013

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 1.181e-05 s
  Stddev    = 3.44e-03 s

Begin point on the trajectory:
  Lon =    -3.119817 +/- 0.0008 deg
  Lat =    52.485779 +/- 0.0003 deg
  Ht  = 101392.89 +/- 81.15 m
End point on the trajectory:
  Lon =    -3.375315 +/- 0.0009 deg
  Lat =    52.532245 +/- 0.0004 deg
  Ht  = 91335.05 +/- 77.52 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,  28.649454,   6.729262,   100360.78,    92223.43,          0.003723,     11.44,      2.76,             114.47, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_013054_179_0451072.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   2.400937,  18.926949,   101392.89,    91335.05,          0.023191,     65.94,     21.51,              98.78, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210810_013101_326_0463360.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,     UK001L,       0,  0.039106, 2459436.563234201632, 252.75431,  43.60317,              298.96674,  34.22233,       298.96927,       34.22195,    252.75431,     +43.60317,     252.75199,      +43.60448,  3674690.88, -1456852.36,  5115878.16,      52.490555,       -3.145971,  100360.78,  175433.94,       0.00,             2080.79,     0.01,      0.00,           71084.78,      1.53,      6.33,           7.66,  +3.32,  +2.10
  1,     UK001L,       0,  0.079662, 2459436.563234671019, 252.15083,  43.03356,              298.81113,  33.51485,       298.81234,       33.51466,    252.15083,     +43.03356,     252.14988,      +43.03419,  3672820.82, -1458305.60,  5115320.29,      52.495988,       -3.175720,   99186.07,  176478.02,    2433.16,             4513.95,  -391.48,  59994.99,           71084.78,      0.75,      3.09,           3.71,  +4.45,  +3.22
  2,     UK001L,       0,  0.161094, 2459436.563235613517, 250.64787,  41.54237,              298.41251,  31.68541,       298.41905,       31.68442,    250.64787,     +41.54237,     250.64231,      +41.54572,  3667873.07, -1462150.53,  5113844.28,      52.510338,       -3.254409,   96081.44,  179366.02,    8870.73,            10951.51,   374.51,  79054.54,           71084.78,      4.14,     17.19,          20.33,  +2.02,  +0.75
  3,     UK001L,       0,  0.201614, 2459436.563236082438, 250.11746,  41.00872,              298.28334,  31.02851,       298.28160,       31.02877,    250.11746,     +41.00872,     250.11977,      +41.00782,  3666062.38, -1463557.62,  5113304.12,      52.515580,       -3.283282,   94946.46,  180471.41,   11226.63,            13307.42,   -91.72,  58141.74,           71084.78,     -1.12,     -4.65,           5.47,  +0.80,  -0.48
  4,     UK001L,       0,  0.242142, 2459436.563236551359, 249.59081,  40.45048,              298.14049,  30.35337,       298.14203,       30.35314,    249.59081,     +40.45048,     249.59023,      +40.45126,  3664172.94, -1465025.93,  5112740.46,      52.521045,       -3.313422,   93762.80,  181650.18,   13685.01,            15765.80,  -456.03,  60658.86,           69012.28,      1.00,      4.13,           4.83,  +1.20,  -0.10
  5,     UK001L,       0,  0.282826, 2459436.563237022609, 248.91622,  39.73875,              297.97375,  29.48621,       297.96645,       29.48731,    248.91622,     +39.73875,     248.92408,      +39.73502,  3661713.94, -1466936.82,  5112006.90,      52.528148,       -3.352624,   92223.43,  183220.04,   16884.43,            18965.22,   -90.17,  78640.79,           69299.67,     -4.83,    -20.04,          23.21,  +2.84,  +1.53
  0,     UK0027,       0,  0.000000, 2459436.563233666588, 213.98909,  68.14650,              337.82958,  36.24704,       337.83134,       36.24571,    213.98909,     +68.14650,     213.98368,      +68.14637,  3676333.06, -1455576.22,  5116368.06,      52.485779,       -3.119817,  101392.89,  168989.44,       0.00,               55.86,   698.77,      0.00,           67428.66,      1.78,      5.46,           7.01,  +3.40,  +2.26
  1,     UK0027,       0,  0.040384, 2459436.563234134112, 214.04189,  67.35376,              337.19285,  35.64443,       337.16359,       35.66636,    214.04189,     +67.35376,     214.12570,      +67.35586,  3674520.10, -1456985.08,  5115827.22,      52.491051,       -3.148647,  100253.47,  169359.95,    2358.86,             2303.00,   133.24,  58410.86,           67428.66,    -29.66,    -90.90,         116.45,  +2.03,  +0.89
  2,     UK0027,       0,  0.080768, 2459436.563234601635, 214.20447,  66.49025,              336.46873,  35.01141,       336.44512,       35.02900,    214.20447,     +66.49025,     214.27002,      +66.49188,  3672528.74, -1458532.58,  5115233.16,      52.496836,       -3.180317,   99002.67,  169803.68,    4949.84,             4893.98,   -88.45,  64158.40,           67428.66,    -24.03,    -73.64,          94.10,  +2.20,  +1.05
  3,     UK0027,       0,  0.161624, 2459436.563235537615, 214.57135,  64.54917,              334.86558,  33.58416,       334.87040,       33.58062,    214.57135,     +64.54917,     214.55939,      +64.54887,  3668008.11, -1462045.59,  5113884.57,      52.509947,       -3.252241,   96166.11,  170952.51,   10831.68,            10775.81,   161.93,  72744.62,           67428.66,      4.95,     15.18,          19.27,  +1.31,  +0.15
  4,     UK0027,       0,  0.202044, 2459436.563236005139, 214.60220,  63.67911,              334.21334,  32.90619,       334.18408,       32.92754,    214.60220,     +63.67911,     214.67613,      +63.68093,  3665968.90, -1463630.27,  5113276.23,      52.515851,       -3.284736,   94887.88,  171535.08,   13484.91,            13429.05,    -0.01,  65641.58,           67776.80,    -30.22,    -92.62,         117.15,  +0.79,  -0.38
  5,     UK0027,       0,  0.242376, 2459436.563236472197, 214.78699,  62.88173,              333.55668,  32.32584,       333.56078,       32.32286,    214.78699,     +62.88173,     214.77782,      +62.88148,  3664078.55, -1465099.27,  5112712.31,      52.521318,       -3.314891,   93703.69,  172110.48,   15944.47,            15888.60,  -349.49,  60982.77,           67150.75,      4.25,     13.03,          16.43,  +1.21,  +0.03
  6,     UK0027,       0,  0.282756, 2459436.563236939255, 214.86801,  62.04952,              332.92489,  31.68791,       332.92124,       31.69055,    214.86801,     +62.04952,     214.87767,      +62.04973,  3662097.76, -1466638.55,  5112121.40,      52.527040,       -3.346499,   92463.61,  172749.00,   18521.69,            18465.83,  -584.66,  63824.24,           66631.56,     -3.81,    -11.67,          14.66,  +1.85,  +0.66
  7,     UK0027,       0,  0.323116, 2459436.563237406779, 214.88359,  61.29554,              332.38419,  31.09167,       332.35021,       31.11611,    214.88359,     +61.29554,     214.96377,      +61.29750,  3660294.05, -1468040.23,  5111583.32,      52.532245,       -3.375315,   91335.05,  173362.39,   20868.52,            20812.66, -1048.82,  58147.45,           65834.51,    -35.67,   -109.31,         136.81,  +3.71,  +2.52

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.