Orbital Analysis for matched events on 20210810_030343.246_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 42.79° Bg 8.53° Vg 70.28km/s
mass 0.00483g, abs. mag 0.7
Path Details
------------
start -4.57° 50.21° 113.35km
end   -4.69° 50.26° 100.46km

Orbit Details
-------------
Semimajor axis 55.42A.U., eccentricity 0.98, inclination 165.35°, Period 412.61Y, LA Sun 137.43°, last Perihelion 1609-01-06

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: 2459436.627583877183
Time: 2021-08-10 03:03:43.246989 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK0024
 Convergence angle = 5.46050 deg
 R.A. =  42.98575  Dec = +23.37860 deg

Best intersection: Stations UK0021 and UK0024 with Qconv = 5.46 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4162181.66 +/- 594.29 m
 Y =     13346.15 +/- 366.24 m
 Z =   4965214.09 +/- 212.90 m
 Vx =    51425.39 +/- 4048.64 m/s
 Vy =    39689.55 +/- 4203.07 m/s
 Vz =    29021.35 +/- 1400.09 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.529494e+05, -2.847196e+05, +1.613087e+05, +2.890706e+06, -1.912634e+06, +1.023748e+06
-2.847196e+05, +1.806616e+05, -1.013558e+05, -1.810842e+06, +1.190885e+06, -6.434218e+05
+1.613087e+05, -1.013558e+05, +5.766666e+04, +1.019494e+06, -6.746572e+05, +3.625967e+05
+2.890706e+06, -1.810842e+06, +1.019494e+06, +2.053353e+07, -1.370561e+07, +7.151865e+06
-1.912634e+06, +1.190885e+06, -6.746572e+05, -1.370561e+07, +9.283644e+06, -4.748004e+06
+1.023748e+06, -6.434218e+05, +3.625967e+05, +7.151865e+06, -4.748004e+06, +2.508670e+06

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK0024: -0.000895 s

Reference point on the trajectory:
  Time: 2021-08-10 03:03:43.246989 UTC
  Lon     = +-4.565423 +/- 0.0051 deg
  Lat     = +50.213862 +/- 0.0028 deg
  Lat geo = +50.027817 +/- 0.0028 deg
  Ht      =  113383.13 +/- 542.85 m

  JD dynamic   = 2459436.628384618089 
  LST apparent = 0.1837198453 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  37.66057 +/- 4.1165 deg
  Dec       = +24.07298 +/- 0.7820 deg
  Azimuth   = 118.03147 +/- 3.3848 deg
  Elevation = +50.99765 +/- 3.0543 deg
  Vavg      =  69.87818 +/- 0.8415 km/s
  Vinit     =  71.14823 +/- 1.2336 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  37.87241 +/- 4.1165 deg
  Dec       = +24.01231 +/- 0.7820 deg
  Azimuth   = 117.85004 +/- 3.3848 deg
  Elevation = +50.83025 +/- 3.0543 deg
  Vavg      =  70.04723 +/- 0.8415 km/s
  Vinit     =  71.31728 +/- 1.2336 km/s
Radiant (geocentric, J2000):
  R.A.   =  37.52072 +/- 4.1415 deg
  Dec    = +23.78272 +/- 0.7984 deg
  Vg     =  70.27823 +/- 1.2500 km/s
  Vinf   =  71.14823 +/- 1.2336 km/s
  Zc     =  38.91521 +/- 3.0645 deg
  Zg     =  39.16424 +/- 3.0983 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  42.78578 +/- 3.4791 deg
  Bg     =  +8.52950 +/- 1.8160 deg
  Vh     =  41.64410 +/- 1.3403 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  38.99542 +/- 6.1606 deg
  Bh     = +14.49689 +/- 3.0753 deg
  Vh_x   = -31.33516 +/- 3.7465 km/s
  Vh_y   = -25.37056 +/- 1.9420 km/s
  Vh_z   = -10.42466 +/- 2.2409 km/s
Orbit:
  La Sun = 137.431542 +/- nan deg
  a      =  55.423040 +/- 12.7917 AU
  e      =   0.982082 +/- 0.1157
  i      = 165.351718 +/- 3.0720 deg
  peri   = 196.473236 +/- 15.2705 deg
  node   = 137.420644 +/- 0.4069 deg
  Pi     = 333.893880 +/- 15.4658 deg
  q      =   0.993073 +/- 0.0305 AU
  f      = 343.513835 +/- 15.0819 deg
  M      = 359.971524 +/- 2.3261 deg
  Q      = 109.853007 +/- 25.5796 AU
  n      =   0.002389 +/- 0.0832 deg/day
  T      = 412.606586 +/- 97.1762 years
  Last perihelion JD = 2308741.368441 (1609-01-06 20:50:33.311141) +/- 35842.1257 days
  Tj     =  -1.096110 +/- 0.6495
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.852773e-02, +6.942105e-04, -9.160215e+03, +4.802861e-05, +4.604571e-02, -9.562032e-03
q   , +6.942105e-04, +3.556024e-04, +4.093125e+01, +4.228162e-05, +3.052100e-03, -5.895905e-04
Tp  , -9.160215e+03, +4.093125e+01, +4.317626e+09, -1.718577e+01, -1.403221e+04, +3.016703e+03
node, +4.802861e-05, +4.228162e-05, -1.718577e+01, +1.121581e-05, +2.970216e-04, -6.012541e-05
peri, +4.604571e-02, +3.052100e-03, -1.403221e+04, +2.970216e-04, +8.661718e-02, -1.775526e-02
i   , -9.562032e-03, -5.895905e-04, +3.016703e+03, -6.012541e-05, -1.775526e-02, +3.660834e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.030090
 a2 = 41.738966

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 4.829e-07 s
  Stddev    = 6.95e-04 s

Begin point on the trajectory:
  Lon =    -4.565719 +/- 0.0050 deg
  Lat =    50.213963 +/- 0.0028 deg
  Ht  = 113353.11 +/- 544.94 m
End point on the trajectory:
  Lon =    -4.694011 +/- 0.0041 deg
  Lat =    50.257334 +/- 0.0019 deg
  Ht  = 100464.85 +/- 348.64 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   113353.11,   100464.85,          0.042869,     97.46,     41.45,              74.31, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210810_030337_044_0599808.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   4.411741,  19.663461,   110717.24,   101635.83,          0.003643,     10.45,      3.98,              84.36, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210810_030336_910_0602624.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,     UK0021,       0,  0.000000, 2459436.627583877183, 327.17021,  21.36653,              234.93378,  50.41035,       234.91200,       50.39918,    327.17021,     +21.36653,     327.17591,      +21.34952,  4162153.73,    13324.60,  4965198.33,      50.213963,       -4.565719,  113353.11,  146226.85,       0.00,               38.63,   -56.53,      0.00,           72801.82,    -17.82,    -41.85,          64.15,  +4.44,  +3.61
  1,     UK0021,       0,  0.040492, 2459436.627584345639, 326.24789,  21.13687,              235.84381,  49.73911,       235.77416,       49.70371,    326.24789,     +21.13687,     326.26668,      +21.08228,  4160356.69,    11937.66,  4964184.19,      50.220459,       -4.584909,  111421.16,  145175.06,    2486.25,             2524.88,  -451.21,  61401.00,           72801.82,    -56.89,   -133.52,         206.21,  +2.21,  +1.40
  2,     UK0021,       0,  0.081256, 2459436.627584817819, 324.99575,  20.70668,              236.94970,  48.72345,       236.94089,       48.71903,    324.99575,     +20.70668,     324.99852,      +20.69973,  4157878.49,    10025.01,  4962785.65,      50.229418,       -4.611338,  108757.54,  143780.41,    5914.90,             5953.53,    77.15,  84109.65,           72801.82,     -7.18,    -16.88,          26.32,  +1.84,  +1.05
  3,     UK0021,       0,  0.121872, 2459436.627585287672, 323.94483,  20.38129,              237.88650,  47.89514,       237.87766,       47.89074,    323.94483,     +20.38129,     323.94784,      +20.37429,  4155852.31,     8461.23,  4961642.19,      50.236744,       -4.633000,  106580.26,  142692.67,    8718.17,             8756.80,    -9.34,  69018.87,           72801.82,     -7.20,    -16.91,          26.57,  +0.74,  -0.03
  4,     UK0021,       0,  0.162488, 2459436.627585757989, 322.94370,  20.03384,              238.72921,  47.07108,       238.75450,       47.08357,    322.94370,     +20.03384,     322.93707,      +20.05397,  4153923.59,     6972.66,  4960553.74,      50.243718,       -4.653647,  104508.14,  141701.59,   11386.60,            11425.23,  -230.66,  65698.99,           71381.18,     20.59,     48.41,          76.58,  +0.37,  -0.39
  5,     UK0021,       0,  0.203212, 2459436.627586229239, 321.74506,  19.63639,              239.73261,  46.09450,       239.76704,       46.11134,    321.74506,     +19.63639,     321.73568,      +19.66398,  4151653.39,     5220.55,  4959272.58,      50.251929,       -4.677945,  102069.70,  140590.06,   14527.47,            14566.10,    12.76,  77125.76,           71797.70,     28.07,     65.98,         105.20,  +0.65,  -0.09
  6,     UK0021,       0,  0.243732, 2459436.627586698160, 320.96699,  19.31567,              240.31991,  45.40672,       240.42366,       45.45722,    320.96699,     +19.31567,     320.93658,      +19.39917,  4150159.00,     4067.19,  4958429.23,      50.257334,       -4.694011,  100464.85,  139894.64,   16595.00,            16633.63,  -802.63,  51024.92,           69727.95,     84.60,    199.12,         318.99,  +2.19,  +1.46
  0,     UK0024,       0,  0.051242, 2459436.627584480215, 318.22981,  12.63133,              238.60114,  38.00675,       238.60148,       38.00693,    318.22981,     +12.63133,     318.22990,      +12.63163,  4159701.84,    11432.25,  4963814.63,      50.222826,       -4.591893,  110717.24,  177239.39,       0.00,             3430.89,  -310.06,      0.00,           71729.84,      0.35,      0.93,           1.16,  +2.92,  +1.68
  1,     UK0024,       0,  0.092114, 2459436.627584953327, 317.25504,  12.25105,              239.33572,  37.16305,       239.33180,       37.16092,    317.25504,     +12.25105,     317.25688,      +12.24755,  4157350.70,     9617.67,  4962487.79,      50.231326,       -4.616983,  108190.34,  176453.95,    3252.85,             6683.74,    34.82,  79586.31,           71729.84,     -4.14,    -10.88,          13.61,  +2.36,  +1.13
  2,     UK0024,       0,  0.132894, 2459436.627585425507, 316.38687,  11.90750,              239.97728,  36.40494,       239.97064,       36.40137,    316.38687,     +11.90750,     316.38992,      +11.90156,  4155267.76,     8010.08,  4961312.31,      50.238858,       -4.639254,  105952.20,  175806.59,    6134.66,             9565.54,    15.20,  70667.10,           71729.84,     -7.01,    -18.43,          23.14,  +1.52,  +0.29
  3,     UK0024,       0,  0.173618, 2459436.627585896757, 315.58723,  11.57503,              240.54969,  35.69128,       240.55288,       35.69299,    315.58723,     +11.57503,     315.58675,      +11.57790,  4153346.98,     6527.64,  4960228.34,      50.245804,       -4.659823,  103888.74,  175250.33,    8792.10,            12222.99,  -224.80,  65254.97,           71729.84,      3.37,      8.87,          11.17,  +1.46,  +0.24
  4,     UK0024,       0,  0.214410, 2459436.627586368937, 314.70511,  11.22062,              241.18176,  34.91201,       241.18073,       34.91146,    314.70511,     +11.22062,     314.70641,      +11.21969,  4151249.41,     4908.76,  4959044.59,      50.253390,       -4.682292,  101635.83,  174686.48,   11694.14,            15125.02,  -225.04,  71142.28,           70930.05,     -1.10,     -2.88,           3.64,  +2.09,  +0.88
  5,     UK0024,       1,  0.255082, 2459436.627586839721, 313.96839,  10.90461,              241.68979,  34.24293,       241.70163,       34.24923,    313.96839,     +10.90461,     313.96487,      +10.91534,  4149489.59,     3550.55,  4958051.46,      50.259756,       -4.701187,   99746.07,  174250.83,   14128.88,            17559.77,  -684.04,  59862.98,           69125.02,     12.58,     33.08,          41.90,  +5.61,  +4.40

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.