Orbital Analysis for matched events on 20210810_004458.506_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 28.16° Bg 34.66° Vg 58.03km/s
mass 0.02048g, abs. mag -0.8
Path Details
------------
start -3.69° 51.88° 97.99km
end   -3.77° 51.88° 87.88km

Orbit Details
-------------
Semimajor axis 5.56A.U., eccentricity 0.85, inclination 115.44°, Period 13.09Y, LA Sun 137.34°, last Perihelion 2008-08-09

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: 2459436.531232716981
Time: 2021-08-10 00:44:58.515518 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001Z and UK0020
 Convergence angle = 15.64980 deg
 R.A. =  10.13165  Dec = +41.99554 deg
Intersection 2 - Stations: UK001Z and UK003H
 Convergence angle = 25.76167 deg
 R.A. =   9.93124  Dec = +43.09440 deg
Intersection 3 - Stations: UK0020 and UK003H
 Convergence angle = 41.40957 deg
 R.A. =  10.27075  Dec = +42.71677 deg

Best intersection: Stations UK0020 and UK003H with Qconv = 41.41 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3332333.66 +/- 54.71 m
 Y =  -2224035.75 +/- 44.61 m
 Z =   5071431.29 +/- 63.52 m
 Vx =    42668.84 +/- 533.67 m/s
 Vy =     7626.16 +/- 592.65 m/s
 Vz =    40154.60 +/- 648.42 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.869609e+03, +1.680146e+03, +6.426645e+02, +4.207477e+03, +1.180128e+04, -1.318397e+04
+1.680146e+03, +1.938054e+03, -1.080599e+03, +8.308338e+03, +2.078539e+04, -2.387065e+04
+6.426645e+02, -1.080599e+03, +3.915893e+03, -9.778426e+03, -1.627275e+04, +2.400155e+04
+4.207477e+03, +8.308338e+03, -9.778426e+03, +6.110283e+04, +1.259478e+05, -1.581009e+05
+1.180128e+04, +2.078539e+04, -1.627275e+04, +1.259478e+05, +3.036859e+05, -3.474728e+05
-1.318397e+04, -2.387065e+04, +2.400155e+04, -1.581009e+05, -3.474728e+05, +4.204882e+05

Timing offsets (from input data):
    UK001Z: 0.000000 s
    UK0020: -0.000085 s
    UK003H: 0.000095 s

Reference point on the trajectory:
  Time: 2021-08-10 00:44:58.515518 UTC
  Lon     = +-3.687374 +/- 0.0009 deg
  Lat     = +51.876095 +/- 0.0003 deg
  Lat geo = +51.691876 +/- 0.0003 deg
  Ht      =   97989.11 +/- 62.71 m

  JD dynamic   = 2459436.532033559401 
  LST apparent = 326.2804223638 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  10.13342 +/- 0.6567 deg
  Dec       = +42.81188 +/- 0.6780 deg
  Azimuth   =  89.61672 +/- 0.6541 deg
  Elevation = +59.45270 +/- 0.7621 deg
  Vavg      =  55.49074 +/- 0.2455 km/s
  Vinit     =  59.08620 +/- 0.2009 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  10.41060 +/- 0.6567 deg
  Dec       = +42.67850 +/- 0.6780 deg
  Azimuth   =  89.62041 +/- 0.6541 deg
  Elevation = +59.20934 +/- 0.7621 deg
  Vavg      =  55.63976 +/- 0.2455 km/s
  Vinit     =  59.23522 +/- 0.2009 km/s
Radiant (geocentric, J2000):
  R.A.   =  10.16012 +/- 0.6597 deg
  Dec    = +42.54257 +/- 0.6867 deg
  Vg     =  58.03304 +/- 0.2046 km/s
  Vinf   =  59.08620 +/- 0.2009 km/s
  Zc     =  30.54904 +/- 0.7601 deg
  Zg     =  30.83044 +/- 0.7693 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  28.15815 +/- 0.1691 deg
  Bg     = +34.65665 +/- 0.8289 deg
  Vh     =  39.88116 +/- 0.5356 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   1.84587 +/- 0.6220 deg
  Bh     = +55.84373 +/- 0.9297 deg
  Vh_x   = -22.37974 +/- 0.2391 km/s
  Vh_y   =  -0.72125 +/- 0.2472 km/s
  Vh_z   = -33.00204 +/- 0.8059 km/s
Orbit:
  La Sun = 137.339103 +/- 0.0000 deg
  a      =   5.555159 +/- 2.3508 AU
  e      =   0.849423 +/- 0.0390
  i      = 115.436716 +/- 0.9965 deg
  peri   = 231.732406 +/- 2.1701 deg
  node   = 137.338211 +/- 0.0001 deg
  Pi     =   9.070617 +/- 2.1701 deg
  q      =   0.836479 +/- 0.0097 AU
  f      = 308.263559 +/- 2.1702 deg
  M      = 357.459720 +/- 1.0615 deg
  Q      =  10.273838 +/- 4.6929 AU
  n      =   0.075277 +/- 0.0286 deg/day
  T      =  13.093186 +/- 9.8415 years
  Last perihelion JD = 2454687.908646 (2008-08-09 09:48:27.042088) +/- 3595.9873 days
  Tj     =   0.468482 +/- 0.2421
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.528223e-03, +3.641649e-04, -1.284970e+02, +5.314864e-08, -1.450737e-03, -6.852597e-04
q   , +3.641649e-04, +9.400085e-05, -2.962546e+01, +1.279696e-08, -3.660115e-04, -1.648192e-04
Tp  , -1.284970e+02, -2.962546e+01, +1.230289e+07, -4.367382e-03, +1.185884e+02, +5.647156e+01
node, +5.314864e-08, +1.279696e-08, -4.367382e-03, +1.858551e-12, -5.086371e-08, -2.395017e-08
peri, -1.450737e-03, -3.660115e-04, +1.185884e+02, -5.086371e-08, +1.434603e-03, +6.552334e-04
i   , -6.852597e-04, -1.648192e-04, +5.647156e+01, -2.395017e-08, +6.552334e-04, +3.086548e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK001Z
  Avg. res. = 1.618e-06 s
  Stddev    = 1.27e-03 s

Begin point on the trajectory:
  Lon =    -3.687355 +/- 0.0006 deg
  Lat =    51.876095 +/- 0.0003 deg
  Ht  = 97991.31 +/- 53.97 m
End point on the trajectory:
  Lon =    -3.773649 +/- 0.0012 deg
  Lat =    51.875710 +/- 0.0004 deg
  Ht  = 87883.32 +/- 73.59 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
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,    97991.31,    90333.69,          0.025867,     66.73,     21.55,              68.21, 0.8622,    True,    True, {"ff_name": "FF_UK001Z_20210810_004451_539_0395264.fits"}
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,    96982.83,    89402.98,          0.019597,     46.96,     29.05,              61.43, 0.7713,    True,    True, {"ff_name": "FF_UK0020_20210810_004453_883_0391424.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    97928.85,    87883.32,          0.006807,     17.10,      1.56,              74.87, 0.9319,    True,    True, {"ff_name": "FF_UK003H_20210810_004454_827_0395776.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,     UK001Z,       0,  0.000000, 2459436.531232818495, 209.64884,  68.36130,              335.48350,  37.89086,       335.47933,       37.89275,    209.64884,     +68.36130,     209.65877,      +68.36029,  3332335.51, -2224035.42,  5071433.03,      51.876095,       -3.687355,   97991.31,  157475.60,       0.00,                2.55,   829.48,      0.00,           51743.21,      3.20,     -9.94,          13.67,  +3.57,  +2.58
  1,     UK001Z,       0,  0.040312, 2459436.531233285088, 209.22267,  67.79826,              335.12360,  37.37989,       335.10926,       37.38638,    209.22267,     +67.79826,     209.25635,      +67.79487,  3331093.30, -2224257.44,  5070264.02,      51.876042,       -3.700029,   96509.92,  156839.62,    1720.16,             1717.61,   162.65,  42671.15,           51743.21,     11.01,    -34.15,          47.19,  +0.49,  -0.49
  2,     UK001Z,       0,  0.080672, 2459436.531233752146, 208.77538,  67.13540,              334.69723,  36.78570,       334.68299,       36.79213,    208.77538,     +67.13540,     208.80833,      +67.13211,  3329651.13, -2224515.19,  5068906.83,      51.875980,       -3.714724,   94790.20,  156121.30,    3717.22,             3714.67,  -225.01,  49481.09,           51743.21,     10.95,    -33.95,          47.13,  +1.24,  +0.27
  3,     UK001Z,       0,  0.121172, 2459436.531234221067, 208.12897,  66.27825,              334.19453,  35.98804,       334.13730,       36.01380,    208.12897,     +66.27825,     208.25721,      +66.26542,  3327786.29, -2224848.49,  5067151.88,      51.875896,       -3.733688,   92566.69,  155224.63,    6299.58,             6297.03,   -35.64,  63762.01,           51743.21,     44.13,   -136.57,         190.72,  +3.43,  +2.48
  4,     UK001Z,       0,  0.161624, 2459436.531234689057, 207.70279,  65.38633,              333.60840,  35.21419,       333.59396,       35.22067,    207.70279,     +65.38633,     207.73490,      +65.38317,  3325913.27, -2225183.26,  5065389.22,      51.875809,       -3.752747,   90333.69,  154362.44,    8893.27,             8890.72,   167.89,  64117.69,           55351.08,     11.13,    -34.53,          48.48,  +4.41,  +3.47
  0,     UK0020,       0,  0.028253, 2459436.531233133283, 162.80336,  74.24952,              354.61856,  35.42910,       354.61706,       35.42997,    162.80336,     +74.24952,     162.80858,      +74.25009,  3331489.86, -2224186.56,  5070637.22,      51.876059,       -3.695982,   96982.83,  164863.38,       0.00,             1168.46,   326.01,      0.00,           59414.14,      2.27,     -3.67,           5.40,  +0.78,  -0.31
  1,     UK0020,       0,  0.068729, 2459436.531233601738, 163.59595,  73.73223,              354.21641,  34.97372,       354.21906,       34.97220,    163.59595,     +73.73223,     163.58743,      +73.73124,  3330175.15, -2224421.54,  5069399.97,      51.876003,       -3.709391,   95415.05,  164003.44,    1820.56,             2989.03,  -245.00,  44978.87,           59414.14,     -4.00,      6.47,           9.57,  +0.79,  -0.28
  2,     UK0020,       0,  0.109397, 2459436.531234072521, 164.60834,  73.00324,              353.66699,  34.33255,       353.67168,       34.32988,    164.60834,     +73.00324,     164.59374,      +73.00156,  3328358.84, -2224746.16,  5067690.68,      51.875922,       -3.727862,   93249.33,  162841.23,    4335.73,             5504.19,  -132.75,  61846.27,           59414.14,     -7.03,     11.38,          16.95,  +2.21,  +1.15
  3,     UK0020,       0,  0.150177, 2459436.531234544702, 165.53864,  72.13642,              353.08645,  33.55986,       353.04783,       33.58180,    165.53864,     +72.13642,     165.65874,      +72.14965,  3326283.39, -2225117.11,  5065737.53,      51.875827,       -3.748961,   90774.92,  161550.96,    7209.73,             8378.19,   331.71,  70475.69,           59414.14,     57.80,    -93.38,         140.21,  +4.63,  +3.59
  4,     UK0020,       0,  0.190601, 2459436.531235012226, 166.27711,  71.67484,              352.68112,  33.17120,       352.70019,       33.16039,    166.27711,     +71.67484,     166.22002,      +71.66848,  3325132.56, -2225322.79,  5064654.52,      51.875772,       -3.760741,   89402.98,  160853.82,    8803.35,             9971.81,  -463.17,  39422.71,           56626.86,    -28.44,     46.06,          69.41,  +4.76,  +3.73
  0,     UK003H,       0,  0.002015, 2459436.531232761685, 246.54562,  50.52509,              302.79722,  41.66219,       302.80082,       41.66140,    246.54562,     +50.52509,     246.54218,      +50.52687,  3332283.13, -2224044.78,  5071383.74,      51.876093,       -3.687862,   97928.85,  145698.72,       0.00,               69.97,   777.86,      0.00,           53587.07,      0.65,      7.11,          10.10,  +2.14,  +1.32
  1,     UK003H,       0,  0.042547, 2459436.531233231071, 245.94140,  50.04242,              302.56080,  41.07013,       302.56867,       41.06841,    245.94140,     +50.04242,     245.93407,      +50.04630,  3331115.14, -2224253.53,  5070284.57,      51.876043,       -3.699790,   96535.96,  145283.42,    1617.39,             1687.36,     0.37,  39903.99,           53587.07,      1.43,     15.60,          22.24,  +0.17,  -0.64
  2,     UK003H,       0,  0.083335, 2459436.531233703252, 245.06472,  49.31695,              302.21498,  40.18740,       302.23139,       40.18383,    245.06472,     +49.31695,     245.04932,      +49.32501,  3329384.00, -2224562.94,  5068655.44,      51.875968,       -3.717398,   94471.68,  144695.55,    4014.61,             4084.58,   -12.42,  58772.70,           53587.07,      3.00,     32.79,          46.94,  +0.80,  -0.00
  3,     UK003H,       0,  0.124155, 2459436.531234175432, 244.16343,  48.57123,              301.88941,  39.26883,       301.89188,       39.26829,    244.16343,     +48.57123,     244.16154,      +48.57244,  3327608.31, -2224880.30,  5066984.38,      51.875888,       -3.735466,   92354.49,  144131.48,    6473.52,             6543.49,    34.59,  60237.84,           53587.07,      0.45,      4.97,           7.14,  +1.45,  +0.66
  4,     UK003H,       0,  0.164951, 2459436.531234647613, 243.31313,  47.83793,              301.57883,  38.37422,       301.56975,       38.37620,    243.31313,     +47.83793,     243.32258,      +47.83350,  3325892.84, -2225186.91,  5065369.99,      51.875808,       -3.752938,   90309.32,  143624.87,    8849.04,             8919.01,    -0.37,  58229.20,           55355.69,     -1.68,    -18.43,          26.58,  +2.13,  +1.34
  5,     UK003H,       0,  0.205907, 2459436.531235121656, 242.34788,  46.94432,              301.19787,  37.30886,       301.19559,       37.30935,    242.34788,     +46.94432,     242.35094,      +46.94321,  3323857.69, -2225550.65,  5063454.77,      51.875710,       -3.773649,   87883.32,  143071.48,   11667.23,            11737.21,   397.89,  68810.36,           57792.65,     -0.43,     -4.69,           6.79,  +3.54,  +2.76

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.