Orbital Analysis for matched events on 20210810_005324.088_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.43° Bg 39.40° Vg 59.56km/s
mass 0.00429g, abs. mag 1.1
Path Details
------------
start -3.68° 51.27° 107.78km
end   -3.75° 51.23° 100.24km

Orbit Details
-------------
Semimajor axis -28.70A.U., eccentricity 1.03, inclination 111.97°, Period 1000000000.00Y, LA Sun 137.34°, 

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: 2459436.537084361538
Time: 2021-08-10 00:53:24.088837 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003H
 Convergence angle = 17.89633 deg
 R.A. =  45.73261  Dec = +57.84978 deg

Best intersection: Stations UK0024 and UK003H with Qconv = 17.90 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3463397.89 +/- 27.30 m
 Y =  -2130802.20 +/- 72.72 m
 Z =   5036253.57 +/- 103.69 m
 Vx =    22329.73 +/- 191.11 m/s
 Vy =    22181.43 +/- 1246.21 m/s
 Vz =    51771.00 +/- 692.67 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.409432e+02, -4.110961e+02, -4.601316e+01, +3.827337e+03, -5.800613e+03, +2.184780e+03
-4.110961e+02, +3.418882e+02, -7.274597e+01, -2.701526e+03, +4.764290e+03, -1.868092e+03
-4.601316e+01, -7.274597e+01, +6.562057e+02, -1.725988e+03, +9.160473e+02, -4.621962e+02
+3.827337e+03, -2.701526e+03, -1.725988e+03, +3.013613e+04, -4.282875e+04, +1.657507e+04
-5.800613e+03, +4.764290e+03, +9.160473e+02, -4.282875e+04, +7.799490e+04, -3.284147e+04
+2.184780e+03, -1.868092e+03, -4.621962e+02, +1.657507e+04, -3.284147e+04, +1.443578e+04

Timing offsets (from input data):
    UK0020: 0.000000 s
    UK0024: 0.000000 s
    UK003H: -0.000070 s

Reference point on the trajectory:
  Time: 2021-08-10 00:53:24.088837 UTC
  Lon     = +-3.681386 +/- 0.0007 deg
  Lat     = +51.266691 +/- 0.0002 deg
  Lat geo = +51.081847 +/- 0.0002 deg
  Ht      =  107747.42 +/- 115.64 m

  JD dynamic   = 2459436.537885102443 
  LST apparent = 328.3987326582 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  44.80911 +/- 1.5136 deg
  Dec       = +58.70237 +/- 0.9148 deg
  Azimuth   =  48.96823 +/- 0.8097 deg
  Elevation = +47.98117 +/- 1.0733 deg
  Vavg      =  56.00097 +/- 0.4968 km/s
  Vinit     =  60.58770 +/- 0.2297 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.93479 +/- 1.5136 deg
  Dec       = +58.46999 +/- 0.9148 deg
  Azimuth   =  49.24173 +/- 0.8097 deg
  Elevation = +47.82408 +/- 1.0733 deg
  Vavg      =  56.15124 +/- 0.4968 km/s
  Vinit     =  60.73796 +/- 0.2297 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.04970 +/- 1.5113 deg
  Dec    = +58.45994 +/- 0.9290 deg
  Vg     =  59.56269 +/- 0.2336 km/s
  Vinf   =  60.58770 +/- 0.2297 km/s
  Zc     =  42.14036 +/- 1.0714 deg
  Zg     =  42.51700 +/- 1.0846 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.42938 +/- 0.5045 deg
  Bg     = +39.39824 +/- 1.1496 deg
  Vh     =  42.20325 +/- 0.6582 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.93433 +/- 0.5494 deg
  Bh     = +63.61227 +/- 1.4678 deg
  Vh_x   =  -2.30723 +/- 0.1134 km/s
  Vh_y   = -18.61451 +/- 0.7129 km/s
  Vh_z   = -37.80596 +/- 1.0602 km/s
Orbit:
  La Sun = 137.344717 +/- 0.0000 deg
  a      = -28.699215 +/- 55.9682 AU
  e      =   1.032999 +/- 0.0606
  i      = 111.972069 +/- 1.1739 deg
  peri   = 150.512325 +/- 2.6567 deg
  node   = 137.344152 +/- 0.0001 deg
  Pi     = 287.856477 +/- 2.6567 deg
  q      =   0.947035 +/- 0.0097 AU
  f      =  29.483774 +/- 2.6566 deg
  M      =        nan +/- nan deg
  Q      = -58.345465 +/- 111.9373 AU
  n      =   0.006411 +/- 0.0214 deg/day
  T      = 1000000000.000000 +/- 442216549.1691 years
  Last perihelion JD = NaN 
  Tj     =  -0.636487 +/- 0.3138
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.945485e-05, +3.806758e-05, +5.999049e-03, +2.385720e-09, +1.570229e-04, -3.196616e-05
q   , +3.806758e-05, +1.803613e-05, +2.794358e-03, +9.489172e-10, +7.380041e-05, -1.271631e-05
Tp  , +5.999049e-03, +2.794358e-03, +4.340600e-01, +1.513650e-07, +1.144802e-02, -2.028377e-03
node, +2.385720e-09, +9.489172e-10, +1.513650e-07, +6.926532e-14, +3.937871e-09, -9.282700e-10
peri, +1.570229e-04, +7.380041e-05, +1.144802e-02, +3.937871e-09, +3.021523e-04, -5.277040e-05
i   , -3.196616e-05, -1.271631e-05, -2.028377e-03, -9.282700e-10, -5.277040e-05, +1.244038e-05

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: UK0024
  Avg. res. = 2.054e-06 s
  Stddev    = 1.43e-03 s

Begin point on the trajectory:
  Lon =    -3.681121 +/- 0.0007 deg
  Lat =    51.266836 +/- 0.0002 deg
  Ht  = 107775.07 +/- 118.21 m
End point on the trajectory:
  Lon =    -3.754144 +/- 0.0012 deg
  Lat =    51.227333 +/- 0.0001 deg
  Ht  = 100235.39 +/- 83.23 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
    UK0020,    True,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   109293.06,   100555.78,          0.044582,       nan,       nan,              35.37, 0.0000,    True,    True, {"ff_name": "FF_UK0020_20210810_005316_046_0403968.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   107775.07,   100892.46,          0.010312,      5.27,     22.15,              54.52, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210810_005319_603_0408064.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   106891.66,   100235.39,          0.006880,      8.76,     14.42,              77.48, 1.0000,    True,    True, {"ff_name": "FF_UK003H_20210810_005316_968_0408320.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,     UK0020,       1, -0.030246, 2459436.537084011361, 297.94189,  80.54010,              350.77426,  58.52058,       350.78616,       58.47622,    297.94189,     +80.54010,     297.80419,      +80.57879,  3464164.57, -2130040.61,  5038031.10,      51.274768,       -3.666461,  109293.06,  127791.28,       0.00,             2080.24,  4614.39,     -0.00,           58011.73,     99.69,     -6.59,         161.26,  +5.75,  +5.22
  1,     UK0020,       1,  0.010030, 2459436.537084477488, 294.78809,  80.23047,              349.62304,  58.41690,       349.63248,       58.38563,    294.78809,     +80.23047,     294.68550,      +80.25692,  3463312.13, -2130887.39,  5036054.75,      51.265787,       -3.683084,  107574.54,  125907.25,    2312.93,              232.69,   326.60,  57427.02,           58011.73,     69.42,     -4.56,         113.98,  +3.03,  +2.53
  2,     UK0020,       1,  0.050282, 2459436.537084943615, 292.00242,  79.88600,              348.50747,  58.32950,       348.52125,       58.28807,    292.00242,     +79.88600,     291.86129,      +79.91998,  3462510.64, -2131683.56,  5034196.51,      51.257337,       -3.698725,  105959.04,  124149.30,    4487.63,             2407.39,    62.53,  54027.19,           58011.73,     90.93,     -6.00,         151.40,  +1.58,  +1.11
  3,     UK0020,       1,  0.090594, 2459436.537085410208, 288.84816,  79.43839,              347.15547,  58.20733,       347.17445,       58.15609,    288.84816,     +79.43839,     288.66805,      +79.47883,  3461561.29, -2132626.60,  5031995.46,      51.247319,       -3.717225,  104045.93,  122084.43,    7063.52,             4983.28,   196.00,  63898.86,           58011.73,    111.00,     -7.35,         187.95,  +1.61,  +1.18
  4,     UK0020,       1,  0.130902, 2459436.537085876800, 286.00911,  78.99479,              345.87484,  58.06013,       345.89267,       58.01629,    286.00911,     +78.99479,     285.85221,      +79.02812,  3460680.42, -2133501.63,  5029953.17,      51.238016,       -3.734404,  102271.21,  120186.48,    9453.61,             7373.37,   143.92,  59295.63,           58725.10,     93.87,     -6.20,         161.46,  +1.66,  +1.26
  5,     UK0020,       1,  0.171206, 2459436.537086342927, 283.44047,  78.51986,              344.60348,  57.91191,       344.62461,       57.86412,    283.44047,     +78.51986,     283.26792,      +78.55487,  3459828.80, -2134347.59,  5027978.71,      51.229015,       -3.751021,  100555.78,  118368.78,   11764.33,             9684.08,    12.71,  57332.20,           58729.71,    101.22,     -6.69,         176.76,  +2.03,  +1.66
  0,     UK0024,       0,  0.000000, 2459436.537084361538, 271.89009,  60.97500,              310.46515,  57.56766,       310.48689,       57.55164,    271.89009,     +60.97500,     271.85393,      +60.98422,  3463411.61, -2130788.57,  5036285.38,      51.266836,       -3.681121,  107775.07,  127194.48,       0.00,               37.22,   738.86,      0.00,           54379.12,     42.79,    -10.19,          71.34,  +4.63,  +4.11
  1,     UK0024,       0,  0.040592, 2459436.537084831391, 271.11251,  60.29927,              309.34185,  57.08366,       309.33416,       57.08920,    271.11251,     +60.29927,     271.12514,      +60.29611,  3462647.95, -2131547.16,  5034514.86,      51.258785,       -3.696034,  106235.79,  126018.35,    2072.04,             2034.82,   277.08,  51045.64,           54379.12,    -14.84,      3.52,          24.97,  +1.65,  +1.15
  2,     UK0024,       0,  0.081216, 2459436.537085301708, 270.36619,  59.55519,              308.13404,  56.57687,       308.12805,       56.58109,    270.36619,     +59.55519,     270.37600,      +59.55281,  3461842.95, -2132346.82,  5032648.47,      51.250292,       -3.711747,  104613.47,  124803.72,    4256.28,             4219.06,     0.00,  53767.10,           54379.12,    -11.36,      2.70,          19.30,  +1.40,  +0.92
  3,     UK0024,       0,  0.121920, 2459436.537085772492, 269.56922,  58.72421,              306.83199,  55.99773,       306.82463,       56.00278,    269.56922,     +58.72421,     269.58103,      +58.72138,  3460965.14, -2133218.79,  5030613.30,      51.241024,       -3.728868,  102844.80,  123509.41,    6638.05,             6600.82,   -84.39,  58514.34,           54379.12,    -13.67,      3.25,          23.46,  +1.71,  +1.25
  4,     UK0024,       0,  0.162712, 2459436.537086244673, 268.72082,  57.77992,              305.40613,  55.33124,       305.40108,       55.33463,    268.72082,     +57.77992,     268.72905,      +57.77805,  3459995.96, -2134181.54,  5028366.26,      51.230782,       -3.747756,  100892.46,  122118.11,    9267.76,             9230.54,    73.83,  64466.36,           56797.81,     -9.21,      2.19,          15.99,  +1.89,  +1.46
  0,     UK003H,       0,  0.020351, 2459436.537084597629, 278.32930,  32.67802,              263.63880,  48.57549,       263.62871,       48.57822,    278.32930,     +32.67802,     278.33714,      +32.67494,  3462973.35, -2131223.92,  5035269.29,      51.262216,       -3.689667,  106891.66,  141429.21,       0.00,             1151.90,   620.50,      0.00,           55628.26,    -15.21,      9.24,          25.96,  +2.54,  +1.79
  1,     UK003H,       0,  0.060947, 2459436.537085067481, 277.95044,  31.98933,              263.20615,  47.87285,       263.20273,       47.87378,    277.95044,     +31.98933,     277.95333,      +31.98828,  3462272.77, -2131919.85,  5033645.01,      51.254827,       -3.703363,  105479.65,  141066.54,    1900.91,             3052.81,    61.79,  46824.96,           55628.26,     -5.20,      3.16,           8.90,  +2.01,  +1.26
  2,     UK003H,       0,  0.101671, 2459436.537085539196, 277.49817,  31.14688,              262.69115,  47.01443,       262.69799,       47.01259,    277.49817,     +31.14688,     277.49328,      +31.14899,  3461422.27, -2132764.70,  5031673.14,      51.245851,       -3.719956,  103765.81,  140658.07,    4208.58,             5360.49,   -97.91,  56666.28,           55628.26,     10.51,     -6.39,          18.04,  +1.58,  +0.84
  3,     UK003H,       0,  0.142499, 2459436.537086011376, 276.97572,  30.21099,              262.16551,  46.04129,       262.15113,       46.04516,    276.97572,     +30.21099,     276.98759,      +30.20655,  3460474.51, -2133706.17,  5029475.78,      51.235840,       -3.738429,  101856.40,  140245.52,    6780.16,             7932.07,    -0.00,  62985.66,           55628.26,    -22.40,     13.61,          38.54,  +2.02,  +1.29
  4,     UK003H,       0,  0.183199, 2459436.537086482625, 276.55580,  29.40291,              261.70776,  45.21468,       261.69950,       45.21690,    276.55580,     +29.40291,     276.56308,      +29.40035,  3459669.73, -2134505.60,  5027609.92,      51.227333,       -3.754144,  100235.39,  139932.75,    8963.79,            10115.69,  -282.30,  53651.69,           56004.69,    -13.00,      7.90,          22.43,  +3.83,  +3.10

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.