Orbital Analysis for matched events on 20210810_235737.317_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.17° Bg 37.89° Vg 58.15km/s
mass 0.00533g, abs. mag 1.1
Path Details
------------
start -2.02° 52.54° 107.13km
end   -2.13° 52.47° 97.82km

Orbit Details
-------------
Semimajor axis 8.30A.U., eccentricity 0.89, inclination 112.43°, Period 23.91Y, LA Sun 138.27°, last Perihelion 2021-07-16

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: 2459437.498348576948
Time: 2021-08-10 23:57:37.317048 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK0027
 Convergence angle = 32.32179 deg
 R.A. =  49.51064  Dec = +58.50986 deg

Best intersection: Stations UK001L and UK0027 with Qconv = 32.32 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2893709.82 +/- 83.07 m
 Y =  -2692367.76 +/- 97.53 m
 Z =   5124904.64 +/- 231.52 m
 Vx =    20273.05 +/- 788.04 m/s
 Vy =    23787.61 +/- 964.59 m/s
 Vz =    50276.63 +/- 1496.54 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.482509e+03, +6.343753e+03, +1.116804e+04, +2.952463e+04, +3.818067e+04, -2.057261e+04
+6.343753e+03, +7.355283e+03, +1.262046e+04, +3.429962e+04, +4.436559e+04, -2.347938e+04
+1.116804e+04, +1.262046e+04, +3.037854e+04, +6.083063e+04, +7.853521e+04, -3.961276e+04
+2.952463e+04, +3.429962e+04, +6.083063e+04, +1.688631e+05, +2.185701e+05, -9.169131e+04
+3.818067e+04, +4.436559e+04, +7.853521e+04, +2.185701e+05, +2.829266e+05, -1.179583e+05
-2.057261e+04, -2.347938e+04, -3.961276e+04, -9.169131e+04, -1.179583e+05, +1.565368e+05

Timing offsets (from input data):
    UK001L: 0.001198 s
    UK0027: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 23:57:37.317048 UTC
  Lon     = +-2.018431 +/- 0.0019 deg
  Lat     = +52.542118 +/- 0.0013 deg
  Lat geo = +52.359246 +/- 0.0013 deg
  Ht      =  107266.96 +/- 181.18 m

  JD dynamic   = 2459437.499149317853 
  LST apparent = 317.0642496357 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.56062 +/- 0.0533 deg
  Dec       = +58.13278 +/- 0.5630 deg
  Azimuth   =  44.60559 +/- 0.5998 deg
  Elevation = +41.31275 +/- 0.3448 deg
  Vavg      =  57.32516 +/- 0.6773 km/s
  Vinit     =  59.19955 +/- 1.4117 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.53781 +/- 0.0533 deg
  Dec       = +57.89670 +/- 0.5630 deg
  Azimuth   =  44.86880 +/- 0.5998 deg
  Elevation = +41.18346 +/- 0.3448 deg
  Vavg      =  57.47769 +/- 0.6773 km/s
  Vinit     =  59.35207 +/- 1.4117 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.84594 +/- 0.0599 deg
  Dec    = +57.78124 +/- 0.5714 deg
  Vg     =  58.14992 +/- 1.4357 km/s
  Vinf   =  59.19955 +/- 1.4117 km/s
  Zc     =  48.81758 +/- 0.3435 deg
  Zg     =  49.28271 +/- 0.3535 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.17450 +/- 0.2098 deg
  Bg     = +37.88903 +/- 0.5485 deg
  Vh     =  40.54138 +/- 1.3865 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  88.07411 +/- 1.3563 deg
  Bh     = +61.75061 +/- 0.7081 deg
  Vh_x   =  -0.64487 +/- 0.4841 km/s
  Vh_y   = -19.17781 +/- 0.9490 km/s
  Vh_z   = -35.71273 +/- 1.1302 km/s
Orbit:
  La Sun = 138.267070 +/- nan deg
  a      =   8.300446 +/- 20.3749 AU
  e      =   0.889795 +/- 0.1245
  i      = 112.428645 +/- 0.9819 deg
  peri   = 142.454930 +/- 2.1580 deg
  node   = 138.266144 +/- 0.0001 deg
  Pi     = 280.721075 +/- 2.1579 deg
  q      =   0.914754 +/- 0.0061 AU
  f      =  37.541066 +/- 2.1580 deg
  M      =   1.071392 +/- nan deg
  Q      =  15.686138 +/- 40.7521 AU
  n      =   0.041215 +/- 0.0543 deg/day
  T      =  23.914031 +/- 489897907.0115 years
  Last perihelion JD = 2459411.503751 (2021-07-16 00:05:24.051592) +/- 0.5773 days
  Tj     =   0.187201 +/- 0.7227
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.011264e-03, +6.347234e-05, +2.115187e-02, +2.050978e-08, +4.050815e-04, -2.751104e-04
q   , +6.347234e-05, +3.992683e-06, +1.329326e-03, +1.363943e-09, +2.546654e-05, -1.829552e-05
Tp  , +2.115187e-02, +1.329326e-03, +4.428014e-01, +4.397232e-07, +8.481609e-03, -5.898282e-03
node, +2.050978e-08, +1.363943e-09, +4.397232e-07, +1.662824e-12, +8.511309e-09, -2.231784e-08
peri, +4.050815e-04, +2.546654e-05, +8.481609e-03, +8.511309e-09, +1.624692e-04, -1.141677e-04
i   , -2.751104e-04, -1.829552e-05, -5.898282e-03, -2.231784e-08, -1.141677e-04, +2.995459e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 19.241732
 a2 = 11.681628

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 4.057e-05 s
  Stddev    = 6.37e-03 s

Begin point on the trajectory:
  Lon =    -2.020031 +/- 0.0001 deg
  Lat =    52.541129 +/- 0.0006 deg
  Ht  = 107128.85 +/- 84.25 m
End point on the trajectory:
  Lon =    -2.128956 +/- 0.0000 deg
  Lat =    52.474267 +/- 0.0013 deg
  Ht  = 97818.65 +/- 207.14 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,  10.817323,  17.462815,   105908.15,    98478.13,          0.001091,      0.40,      2.55,              52.08, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_235732_401_0302848.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,  81.641843,   0.000000,   107128.85,    97818.65,          0.030335,     56.39,     65.88,              25.18, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210810_235737_871_0325888.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,     UK001L,       0,  0.029601, 2459437.498349156231, 235.66792,  68.42723,              325.72074,  49.71181,       325.72004,       49.71287,    235.66792,     +68.42723,     235.67105,      +68.42715,  2893004.87, -2693194.91,  5123156.39,      52.532386,       -2.034380,  105908.15,  137932.91,       0.00,             2058.52,    96.64,      0.00,           55570.19,     -2.75,     -0.43,           4.16,  +5.58,  +4.88
  1,     UK001L,       0,  0.069837, 2459437.498349621892, 235.51187,  67.58965,              324.53415,  49.37687,       324.53323,       49.37822,    235.51187,     +67.58965,     235.51589,      +67.58955,  2892155.99, -2694190.95,  5121051.19,      52.520659,       -2.053500,  104272.39,  136472.49,    2478.82,             4537.34,   193.51,  61607.07,           55570.19,     -3.47,     -0.54,           5.30,  +2.38,  +1.70
  2,     UK001L,       0,  0.150289, 2459437.498350553215, 235.25236,  66.03989,              322.38189,  48.72663,       322.38109,       48.72774,    235.25236,     +66.03989,     235.25588,      +66.03981,  2890632.37, -2695978.71,  5117272.66,      52.499588,       -2.087851,  101337.73,  133927.88,    6927.95,             8986.47,  -120.08,  55301.64,           55570.19,     -2.83,     -0.44,           4.42,  +1.79,  +1.16
  3,     UK001L,       0,  0.190505, 2459437.498351018410, 235.14614,  65.31470,              321.39324,  48.41068,       321.39381,       48.40991,    235.14614,     +65.31470,     235.14476,      +65.31475,  2889939.15, -2696792.11,  5115553.49,      52.489991,       -2.103495,  100003.04,  132804.00,    8952.24,            11010.76,  -476.56,  50335.47,           55570.19,      1.96,      0.31,           3.09,  +1.71,  +1.09
  4,     UK001L,       0,  0.230757, 2459437.498351484537, 235.02125,  64.47167,              320.26183,  48.02955,       320.26152,       48.02995,    235.02125,     +64.47167,     235.02314,      +64.47165,  2889146.90, -2697721.70,  5113588.73,      52.479017,       -2.121349,   98478.13,  131545.51,   11265.69,            13324.21,  -546.01,  57474.19,           55461.52,     -1.03,     -0.16,           1.63,  +5.37,  +4.77
  0,     UK0027,       0,  0.000000, 2459437.498348576948, 103.57739,  74.81888,               10.47932,  38.10082,        10.46808,       38.13272,    103.57739,     +74.81888,     103.55471,      +74.85147,  2893638.18, -2692451.81,  5124726.97,      52.541129,       -2.020031,  107128.85,  171151.65,       0.00,              209.20,    -0.32,      0.00,           59219.49,    -75.10,    -64.37,         119.20,  +4.34,  +3.17
  1,     UK0027,       0,  0.040040, 2459437.498349040281, 104.71743,  74.93966,               10.07212,  38.08308,        10.08378,       38.05015,    104.71743,     +74.93966,     104.73851,      +74.90592,  2892915.89, -2693299.32,  5122935.71,      52.531157,       -2.036325,  105736.66,  169252.43,    2109.17,             2318.37,  -261.50,  52676.60,           59219.49,     76.86,     65.51,         123.08,  +2.50,  +1.36
  2,     UK0027,       0,  0.080180, 2459437.498349505011, 106.11173,  74.95913,                9.64312,  37.95181,         9.64255,       37.95338,    106.11173,     +74.95913,     106.11100,      +74.96075,  2892103.02, -2694253.11,  5120919.82,      52.519927,       -2.054640,  104170.33,  167121.43,    4482.83,             4692.03,  -264.11,  59134.59,           59219.49,     -3.61,     -3.09,           5.87,  +1.78,  +0.66
  3,     UK0027,       0,  0.120292, 2459437.498349969275, 107.68163,  75.03097,                9.13371,  37.85799,         9.14008,       37.84067,    107.68163,     +75.03097,     107.68965,      +75.01305,  2891198.33, -2695314.63,  5118676.23,      52.507418,       -2.075005,  102427.64,  164757.90,    7124.61,             7333.81,     3.06,  65860.02,           59219.49,     39.44,     33.66,          64.92,  +2.19,  +1.11
  4,     UK0027,       0,  0.160448, 2459437.498350434005, 109.16772,  75.02010,                8.68834,  37.70420,         8.67686,       37.73472,    109.16772,     +75.02010,     109.15778,      +75.05183,  2890385.17, -2696268.77,  5116659.60,      52.496167,       -2.093327,  100861.74,  162640.79,    9499.15,             9708.34,     0.38,  59132.77,           59863.32,    -68.66,    -58.80,         114.64,  +1.67,  +0.61
  5,     UK0027,       0,  0.200560, 2459437.498350898270, 110.70729,  75.06325,                8.19979,  37.60340,         8.19280,       37.62170,    110.70729,     +75.06325,     110.70355,      +75.08233,  2889554.80, -2697243.09,  5114600.32,      52.484668,       -2.112032,   99263.22,  160486.55,   11923.90,            12133.10,    50.52,  60449.62,           60130.85,    -40.69,    -34.81,          68.82,  +2.11,  +1.08
  6,     UK0027,       0,  0.240696, 2459437.498351363000, 112.14870,  75.05182,                7.76322,  37.46769,         7.74475,       37.51517,    112.14870,     +75.05182,     112.14300,      +75.10148,  2888804.20, -2698123.82,  5112738.83,      52.474267,       -2.128956,   97818.65,  158545.98,   14115.76,            14324.95,  -133.66,  54610.68,           59634.63,   -104.38,    -89.49,         178.88,  +4.66,  +3.66

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.