Orbital Analysis for matched events on 20211103_004706.867_UK

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Summary for Event
-----------------
shower ID 526 SLD
Lg 126.78° Bg 49.50° Vg 49.29km/s
mass 0.00382g, abs. mag 1.7
best visual mag 2.1
Path Details
------------
start -3.98° 50.70° 107.05km
end   -4.04° 50.65° 101.30km

Orbit Details
-------------
Semimajor axis 2.37A.U., eccentricity 0.58, inclination 92.92°, Period 3.66Y, LA Sun 220.52°, last Perihelion 2018-03-16

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: 2459521.532718374394
Time: 2021-11-03 00:47:06.867548 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK0024
 Convergence angle = 31.89058 deg
 R.A. = 154.27446  Dec = +64.85951 deg

Best intersection: Stations UK000T and UK0024 with Qconv = 31.89 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2629111.28 +/- 26.65 m
 Y =   3166770.69 +/- 22.36 m
 Z =   4995232.22 +/- 8.17 m
 Vx =   -19292.96 +/- 159.43 m/s
 Vy =     9023.85 +/- 164.67 m/s
 Vz =    45811.47 +/- 75.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.631311e+02, +6.093064e+02, +1.824820e+02, +3.464290e+03, +3.503659e+03, +1.688627e+03
+6.093064e+02, +5.359131e+02, +1.579572e+02, +2.918483e+03, +3.335124e+03, +1.331730e+03
+1.824820e+02, +1.579572e+02, +7.138678e+01, +7.992251e+02, +8.342512e+02, +3.924821e+02
+3.464290e+03, +2.918483e+03, +7.992251e+02, +2.745776e+04, +2.583774e+04, +1.246834e+04
+3.503659e+03, +3.335124e+03, +8.342512e+02, +2.583774e+04, +2.895286e+04, +1.093725e+04
+1.688627e+03, +1.331730e+03, +3.924821e+02, +1.246834e+04, +1.093725e+04, +5.878110e+03

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK0024: -0.000154 s

Reference point on the trajectory:
  Time: 2021-11-03 00:47:06.867548 UTC
  Lon     = +-3.983576 +/- 0.0001 deg
  Lat     = +50.698254 +/- 0.0002 deg
  Lat geo = +50.512623 +/- 0.0002 deg
  Ht      =  107053.59 +/- 26.77 m

  JD dynamic   = 2459521.533519115299 
  LST apparent = 50.2999186172 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 154.93320 +/- 0.5745 deg
  Dec       = +65.06498 +/- 0.1215 deg
  Azimuth   =  31.84371 +/- 0.1085 deg
  Elevation = +39.36278 +/- 0.2571 deg
  Vavg      =  46.82323 +/- 0.0143 km/s
  Vinit     =  50.52068 +/- 0.0335 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 154.73198 +/- 0.5745 deg
  Dec       = +64.76692 +/- 0.1215 deg
  Azimuth   =  32.21620 +/- 0.1085 deg
  Elevation = +39.24856 +/- 0.2571 deg
  Vavg      =  46.94640 +/- 0.0143 km/s
  Vinit     =  50.64385 +/- 0.0335 km/s
Radiant (geocentric, J2000):
  R.A.   = 155.79630 +/- 0.5734 deg
  Dec    = +64.76186 +/- 0.1276 deg
  Vg     =  49.28666 +/- 0.0343 km/s
  Vinf   =  50.52068 +/- 0.0335 km/s
  Zc     =  50.79498 +/- 0.2572 deg
  Zg     =  51.46765 +/- 0.2620 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 126.78329 +/- 0.4083 deg
  Bg     = +49.49789 +/- 0.0722 deg
  Vh     =  37.61023 +/- 0.0418 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  77.69340 +/- 1.9918 deg
  Bh     = +85.17294 +/- 0.3131 deg
  Vh_x   =  -0.67456 +/- 0.1582 km/s
  Vh_y   =  -3.09212 +/- 0.1755 km/s
  Vh_z   = -37.47684 +/- 0.0379 km/s
Orbit:
  La Sun = 220.519062 +/- 0.0000 deg
  a      =   2.373464 +/- 0.0199 AU
  e      =   0.584531 +/- 0.0038
  i      =  92.921045 +/- 0.0759 deg
  peri   = 190.430000 +/- 0.9282 deg
  node   = 220.519870 +/- 0.0000 deg
  Pi     =  50.949870 +/- 0.9282 deg
  q      =   0.986101 +/- 0.0012 AU
  f      = 349.570783 +/- 0.9282 deg
  M      = 357.772171 +/- 0.1829 deg
  Q      =   3.760827 +/- 0.0404 AU
  n      =   0.269545 +/- 0.0034 deg/day
  T      =   3.656575 +/- 0.0460 years
  Last perihelion JD = 2458194.211258 (2018-03-16 17:04:12.688806) +/- 16.4660 days
  Tj     =   2.136843 +/- 0.0181
Shower association:
  IAU No.  =  526
  IAU code =  SLD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.513612e-05, -2.799043e-06, -6.547620e-02, -9.047791e-10, +2.207385e-03, -6.574196e-05
q   , -2.799043e-06, +1.481406e-06, +9.549804e-03, -8.371125e-10, -1.170187e-03, -6.108373e-05
Tp  , -6.547620e-02, +9.549804e-03, +2.900553e+02, +6.598999e-06, -7.525027e+00, +4.801863e-01
node, -9.047791e-10, -8.371125e-10, +6.598999e-06, +1.156879e-12, +6.622448e-07, +8.435393e-08
peri, +2.207385e-03, -1.170187e-03, -7.525027e+00, +6.622448e-07, +9.250687e-01, +4.832432e-02
i   , -6.574196e-05, -6.108373e-05, +4.801863e-01, +8.435393e-08, +4.832432e-02, +6.150690e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 6.687252
 a2 = 23.528817

Mean time residuals from time vs. length:
  Station with reference time: UK000T
  Avg. res. = 4.078e-05 s
  Stddev    = 6.39e-03 s

Begin point on the trajectory:
  Lon =    -3.983599 +/- 0.0001 deg
  Lat =    50.698230 +/- 0.0002 deg
  Ht  = 107050.94 +/- 26.45 m
End point on the trajectory:
  Lon =    -4.035928 +/- 0.0001 deg
  Lat =    50.645475 +/- 0.0001 deg
  Ht  = 101298.65 +/- 21.24 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,   0.000000,   0.000000,   107050.94,   102190.07,          0.002836,      2.78,      6.45,              90.47, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20211103_004704_356_0658432.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   106114.23,   101298.65,          0.008704,     15.44,     12.42,              79.19, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20211103_004705_525_0672000.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,     UK000T,       0,  0.000000, 2459521.532718374394,  38.00333,  11.34500,              199.03725,  48.54634,       199.03792,       48.54642,     38.00333,     +11.34500,      38.00277,      +11.34517,  2629112.88,  3166769.95,  4995228.43,      50.698230,       -3.983599,  107050.94,  141874.23,       0.00,                4.18,    51.69,      0.00,           50316.07,     -1.03,      0.44,           1.63,  +3.22,  +2.46
  1,     UK000T,       0,  0.041076, 2459521.532718849368,  37.67286,  10.56052,              199.26811,  47.71153,       199.26610,       47.71129,     37.67286,     +10.56052,      37.67420,      +10.56001,  2629913.90,  3166395.29,  4993326.40,      50.686047,       -3.995681,  105720.81,  141910.89,    2097.55,             2101.73,    74.05,  51065.12,           50316.07,      3.11,     -1.34,           4.92,  +2.40,  +1.64
  2,     UK000T,       0,  0.082064, 2459521.532719323877,  37.37912,   9.84130,              199.46252,  46.94766,       199.46871,       46.94839,     37.37912,      +9.84130,      37.37529,       +9.84291,  2630645.68,  3166053.01,  4991588.78,      50.674913,       -4.006732,  104505.99,  141971.80,    4013.80,             4017.98,   -80.44,  46751.35,           50316.07,     -9.77,      4.21,          15.46,  +2.37,  +1.61
  3,     UK000T,       0,  0.123208, 2459521.532719800249,  37.02583,   9.00885,              199.70152,  46.06031,       199.69641,       46.05971,     37.02583,      +9.00885,      37.02959,       +9.00751,  2631498.85,  3165653.96,  4989562.91,      50.661924,       -4.019587,  103090.07,  142075.14,    6247.91,             6252.09,    75.05,  54299.94,           50316.07,      8.20,     -3.54,          12.96,  +2.09,  +1.33
  4,     UK000T,       0,  0.163936, 2459521.532720271498,  36.80628,   8.47783,              199.84323,  45.49524,       199.83958,       45.49482,     36.80628,      +8.47783,      36.80927,       +8.47686,  2632041.28,  3165400.25,  4988274.90,      50.653662,       -4.027819,  102190.07,  142160.12,    7668.32,             7672.50,  -562.15,  34875.43,           47533.43,      5.91,     -2.55,           9.34,  +3.24,  +2.48
  0,     UK0024,       0,  0.030289, 2459521.532718731090,   9.17367,  31.67727,              254.53341,  53.65315,       254.53930,       53.65100,      9.17367,     +31.67727,       9.16899,      +31.67826,  2629676.95,  3166506.12,  4993889.04,      50.689652,       -3.992115,  106114.23,  131074.20,       0.00,             1481.26,    -1.44,      0.00,           50658.61,     -5.88,     -7.31,          14.76,  +4.36,  +3.77
  1,     UK0024,       0,  0.070785, 2459521.532719200011,   8.93573,  30.93335,              253.88782,  52.98529,       253.87191,       52.99107,      8.93573,     +30.93335,       8.94856,      +30.93068,  2630357.58,  3166187.76,  4992272.86,      50.679297,       -4.002404,  104984.21,  130772.75,    1782.32,             3263.57,  -265.01,  44012.16,           50658.61,     15.99,     19.89,          40.26,  +3.24,  +2.66
  2,     UK0024,       0,  0.111365, 2459521.532719669398,   8.68013,  30.04953,              253.12440,  52.20133,       253.10849,       52.20708,      8.68013,     +30.04953,       8.69318,      +30.04685,  2631158.26,  3165813.26,  4990371.63,      50.667110,       -4.014477,  103655.24,  130447.36,    3878.98,             5360.24,  -218.47,  51667.42,           50658.61,     16.15,     20.09,          40.75,  +2.67,  +2.09
  3,     UK0024,       0,  0.151993, 2459521.532720139716,   8.41893,  29.08402,              252.30825,  51.34760,       252.30691,       51.34808,      8.41893,     +29.08402,       8.42052,      +29.08379,  2632026.08,  3165407.36,  4988310.99,      50.653894,       -4.027546,  102215.30,  130131.50,    6151.44,             7632.70,     1.44,  55933.42,           50658.61,      1.38,      1.71,           3.49,  +3.16,  +2.59
  4,     UK0024,       0,  0.192405, 2459521.532720607240,   8.23518,  28.46977,              251.82549,  50.78974,       251.81119,       50.79485,      8.23518,     +28.46977,       8.24734,      +28.46735,  2632578.64,  3165148.91,  4986998.91,      50.645475,       -4.035928,  101298.65,  129953.32,    7598.40,             9079.66,  -593.24,  35805.16,           48260.99,     14.76,     18.36,          37.39,  +3.17,  +2.60

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.