Orbital Analysis for matched events on 20210810_012755.653_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 33.99° Bg 36.17° Vg 59.96km/s
mass 0.01901g, abs. mag -0.5
Path Details
------------
start 2.71° 52.68° 106.90km
end   2.65° 52.68° 96.45km

Orbit Details
-------------
Semimajor axis 16.77A.U., eccentricity 0.94, inclination 116.58°, Period 68.65Y, LA Sun 137.37°, last Perihelion 1953-01-07

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: 2459436.561060803942
Time: 2021-08-10 01:27:55.653461 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 18.26977 deg
 R.A. =  15.20501  Dec = +46.39446 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 18.27 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3776379.73 +/- 64.81 m
 Y =  -1122708.22 +/- 60.60 m
 Z =   5134257.47 +/- 31.09 m
 Vx =    40648.17 +/- 805.22 m/s
 Vy =    10955.22 +/- 740.50 m/s
 Vz =    44113.25 +/- 939.28 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.960832e+03, +5.220928e+03, +2.395650e+03, +7.414630e+04, +8.222561e+04, -4.123855e+03
+5.220928e+03, +3.424372e+03, +1.555505e+03, +4.823242e+04, +5.329580e+04, -2.539142e+03
+2.395650e+03, +1.555505e+03, +1.425679e+03, +4.011447e+04, +5.315503e+04, -8.699948e+03
+7.414630e+04, +4.823242e+04, +4.011447e+04, +1.140247e+06, +1.483479e+06, -2.268170e+05
+8.222561e+04, +5.329580e+04, +5.315503e+04, +1.483479e+06, +1.994621e+06, -3.432879e+05
-4.123855e+03, -2.539142e+03, -8.699948e+03, -2.268170e+05, -3.432879e+05, +8.107985e+04

Timing offsets (from input data):
    UK002K: -0.000446 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:27:55.653461 UTC
  Lon     = ++2.707648 +/- 0.0011 deg
  Lat     = +52.682070 +/- 0.0002 deg
  Lat geo = +52.499428 +/- 0.0002 deg
  Ht      =  106942.92 +/- 49.61 m

  JD dynamic   = 2459436.561861544847 
  LST apparent = 343.4429184094 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  15.08358 +/- 0.7282 deg
  Dec       = +46.33869 +/- 0.5179 deg
  Azimuth   =  94.55787 +/- 0.7990 deg
  Elevation = +68.69559 +/- 0.6615 deg
  Vavg      =  60.44652 +/- 0.7359 km/s
  Vinit     =  60.97761 +/- 0.7821 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  15.41527 +/- 0.7282 deg
  Dec       = +46.23594 +/- 0.5179 deg
  Azimuth   =  94.49958 +/- 0.7990 deg
  Elevation = +68.44530 +/- 0.6615 deg
  Vavg      =  60.55116 +/- 0.7359 km/s
  Vinit     =  61.08225 +/- 0.7821 km/s
Radiant (geocentric, J2000):
  R.A.   =  15.00469 +/- 0.7257 deg
  Dec    = +46.13603 +/- 0.5217 deg
  Vg     =  59.95906 +/- 0.7954 km/s
  Vinf   =  60.97761 +/- 0.7821 km/s
  Zc     =  21.29064 +/- 0.6594 deg
  Zg     =  21.47205 +/- 0.6614 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  33.99478 +/- 0.2754 deg
  Bg     = +36.16715 +/- 0.6842 deg
  Vh     =  41.19831 +/- 0.4737 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  14.40241 +/- 1.5209 deg
  Bh     = +59.19409 +/- 1.1275 deg
  Vh_x   = -20.43587 +/- 0.7690 km/s
  Vh_y   =  -5.24796 +/- 0.7137 km/s
  Vh_z   = -35.38552 +/- 0.3119 km/s
Orbit:
  La Sun = 137.367719 +/- 0.0000 deg
  a      =  16.765699 +/- 23.3629 AU
  e      =   0.944371 +/- 0.0419
  i      = 116.577183 +/- 1.3886 deg
  peri   = 213.346775 +/- 0.8399 deg
  node   = 137.367210 +/- 0.0001 deg
  Pi     = 350.713985 +/- 0.8400 deg
  q      =   0.932654 +/- 0.0027 AU
  f      = 326.649311 +/- 0.8399 deg
  M      = 359.667942 +/- nan deg
  Q      =  32.598745 +/- 46.7265 AU
  n      =   0.014357 +/- 0.0077 deg/day
  T      =  68.648832 +/- 399999953.0475 years
  Last perihelion JD = 2434385.267467 (1953-01-07 18:25:09.161800) +/- 26863.0156 days
  Tj     =  -0.217789 +/- 0.2585
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.357602e-04, +2.350263e-06, -5.948825e+02, +1.137048e-08, -6.200392e-05, -1.479659e-04
q   , +2.350263e-06, +1.716263e-08, -4.105225e+00, -6.545908e-12, -4.369337e-07, +1.366394e-07
Tp  , -5.948825e+02, -4.105225e+00, +1.058852e+09, -2.727323e-02, +1.096140e+02, +3.591688e+02
node, +1.137048e-08, -6.545908e-12, -2.727323e-02, +1.081768e-11, -1.746464e-09, -1.470044e-07
peri, -6.200392e-05, -4.369337e-07, +1.096140e+02, -1.746464e-09, +1.146206e-05, +2.251598e-05
i   , -1.479659e-04, +1.366394e-07, +3.591688e+02, -1.470044e-07, +2.251598e-05, +1.997816e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.043577
 a2 = 42.799187

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 4.114e-06 s
  Stddev    = 2.03e-03 s

Begin point on the trajectory:
  Lon =     2.707401 +/- 0.0011 deg
  Lat =    52.682082 +/- 0.0002 deg
  Ht  = 106899.16 +/- 46.79 m
End point on the trajectory:
  Lon =     2.647491 +/- 0.0019 deg
  Lat =    52.684932 +/- 0.0005 deg
  Ht  = 96454.55 +/- 60.63 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,   0.000000,   0.000000,   105416.09,    96454.55,          0.006848,     29.15,      5.01,              45.58, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_012753_192_0456960.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,  32.551104,   0.000000,   106899.16,    97689.16,          0.006120,     20.23,     10.23,              39.52, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_012750_459_0463104.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,  0.019214, 2459436.561061032116,  37.96582,   6.07111,              113.52235,  23.67791,       113.52253,       23.67794,     37.96582,      +6.07111,      37.96575,       +6.07105,  3775287.26, -1123002.65,  5133071.87,      52.682488,       +2.698932,  105416.09,  252173.73,       0.00,             1638.84,   167.62,      0.00,           60229.07,     -0.13,     -0.75,           0.62,  +2.58,  +0.57
  1,     UK002K,       0,  0.059510, 2459436.561061498243,  38.09532,   5.74115,              113.60189,  23.33129,       113.59658,       23.33035,     38.09532,      +5.74115,      38.10017,       +5.74303,  3773819.69, -1123398.18,  5131479.20,      52.683048,       +2.687158,  103365.09,  250608.23,    2201.54,             3840.39,   -87.99,  54634.32,           60229.07,      3.66,     21.37,          17.85,  +1.81,  -0.18
  2,     UK002K,       0,  0.099870, 2459436.561061965302,  38.27363,   5.34432,              113.67635,  22.90200,       113.68660,       22.90380,     38.27363,      +5.34432,      38.26512,       +5.34066,  3772044.43, -1123876.64,  5129552.61,      52.683726,       +2.672941,  100884.18,  248729.43,    4864.67,             6503.51,   114.08,  65984.30,           60229.07,     -7.07,    -41.13,          34.61,  +1.53,  -0.45
  3,     UK002K,       0,  0.140190, 2459436.561062431894,  38.41608,   4.98333,              113.76132,  22.52214,       113.76664,       22.52308,     38.41608,      +4.98333,      38.41202,       +4.98143,  3770481.84, -1124297.78,  5127856.81,      52.684321,       +2.660398,   98700.58,  247086.59,    7208.76,             8847.61,    -0.44,  58137.24,           60229.07,     -3.65,    -21.26,          18.00,  +1.50,  -0.46
  4,     UK002K,       0,  0.180522, 2459436.561062898953,  38.57321,   4.61053,              113.83938,  22.12429,       113.84958,       22.12608,     38.57321,      +4.61053,      38.56504,       +4.60687,  3768874.50, -1124730.98,  5126112.46,      52.684932,       +2.647491,   96454.55,  245408.93,    9619.98,            11258.83,   -48.57,  59784.26,           60122.86,     -6.97,    -40.59,          34.61,  +3.65,  +1.70
  0,     UK0032,       0,  0.000000, 2459436.561060803942,  45.82027,  17.36376,               99.25576,  28.69466,        99.25753,       28.69477,     45.82027,     +17.36376,      45.81894,      +17.36288,  3776348.41, -1122716.66,  5134223.48,      52.682082,       +2.707401,  106899.16,  216823.34,       0.00,               46.98,  -252.61,      0.00,           64444.25,     -2.65,     -5.23,           5.58,  +3.00,  +1.32
  1,     UK0032,       0,  0.040372, 2459436.561061271001,  46.08238,  16.99026,               99.29692,  28.24645,        99.29397,       28.24627,     46.08238,     +16.99026,      46.08480,      +16.99174,  3774539.46, -1123204.19,  5132260.33,      52.682774,       +2.692933,  104370.99,  214697.33,    2713.66,             2760.64,    -0.74,  67216.32,           64444.25,      4.41,      8.72,           9.38,  +2.09,  +0.43
  2,     UK0032,       0,  0.080736, 2459436.561061738525,  46.33168,  16.62368,               99.34265,  27.81090,        99.32916,       27.81007,     46.33168,     +16.62368,      46.34233,      +16.63043,  3772813.50, -1123669.36,  5130387.24,      52.683433,       +2.679110,  101958.94,  212680.96,    5302.83,             5349.80,   127.13,  64145.49,           64444.25,     20.03,     39.61,          43.05,  +1.50,  -0.14
  3,     UK0032,       0,  0.121096, 2459436.561062205583,  46.59602,  16.27488,               99.36184,  27.38003,        99.36359,       27.38014,     46.59602,     +16.27488,      46.59519,      +16.27401,  3771143.57, -1124119.43,  5128574.95,      52.684069,       +2.665721,   99625.28,  210741.74,    7807.95,             7854.93,   171.20,  62069.50,           64444.25,     -2.59,     -5.11,           5.61,  +1.44,  -0.18
  4,     UK0032,       0,  0.161396, 2459436.561062672175,  46.80200,  15.96997,               99.39895,  27.01804,        99.39256,       27.01764,     46.80200,     +15.96997,      46.80759,      +15.97318,  3769758.04, -1124492.85,  5127071.31,      52.684596,       +2.654576,   97689.16,  209140.31,    9886.42,             9933.40,  -207.73,  51574.97,           61627.14,      9.41,     18.61,          20.57,  +1.76,  +0.16

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.