Orbital Analysis for matched events on 20210810_000700.960_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.86° Bg 42.09° Vg 61.04km/s
mass 0.05058g, abs. mag -1.5
Path Details
------------
start -1.06° 54.43° 104.89km
end   -1.17° 54.37° 94.34km

Orbit Details
-------------
Semimajor axis -3.17A.U., eccentricity 1.30, inclination 108.92°, Period 1000000000.00Y, LA Sun 137.31°, 

Full details below
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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459436.504872228485
Time: 2021-08-10 00:07:01.000694 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK0026
 Convergence angle = 32.28745 deg
 R.A. =  45.80229  Dec = +61.64391 deg

Best intersection: Stations UK001L and UK0026 with Qconv = 32.29 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2869450.45 +/- 112.76 m
 Y =  -2459122.28 +/- 59.22 m
 Z =   5252202.99 +/- 124.90 m
 Vx =    20186.84 +/- 943.14 m/s
 Vy =    21106.91 +/- 333.80 m/s
 Vz =    54731.83 +/- 619.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK001L: -0.991398 s
    UK0026: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 00:07:01.000694 UTC
  Lon     = +-1.048783 +/- 0.0007 deg
  Lat     = +54.443782 +/- 0.0014 deg
  Lat geo = +54.264519 +/- 0.0014 deg
  Ht      =  106373.91 +/- 57.15 m

  JD dynamic   = 2459436.505673434120 
  LST apparent = 319.4033868560 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.27641 +/- 1.3422 deg
  Dec       = +61.91445 +/- 0.4899 deg
  Azimuth   =  43.68750 +/- 1.0845 deg
  Elevation = +47.11157 +/- 0.3105 deg
  Vavg      =  60.55737 +/- 0.7213 km/s
  Vinit     =  62.03695 +/- 0.4185 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.30562 +/- 1.3422 deg
  Dec       = +61.69071 +/- 0.4899 deg
  Azimuth   =  43.95670 +/- 1.0845 deg
  Elevation = +46.98272 +/- 0.3105 deg
  Vavg      =  60.68739 +/- 0.7213 km/s
  Vinit     =  62.16697 +/- 0.4185 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.49986 +/- 1.3446 deg
  Dec    = +61.63976 +/- 0.4899 deg
  Vg     =  61.03589 +/- 0.4255 km/s
  Vinf   =  62.03695 +/- 0.4185 km/s
  Zc     =  43.01820 +/- 0.3126 deg
  Zg     =  43.38552 +/- 0.3143 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.85582 +/- 1.0345 deg
  Bg     = +42.09209 +/- 0.2442 deg
  Vh     =  45.05397 +/- 0.5344 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.26909 +/- 2.3292 deg
  Bh     = +65.24850 +/- 0.3061 deg
  Vh_x   =  -0.24063 +/- 0.7429 km/s
  Vh_y   = -18.86182 +/- 0.4208 km/s
  Vh_z   = -40.91496 +/- 0.4168 km/s
Orbit:
  La Sun = 137.313813 +/- 0.0000 deg
  a      =  -3.172133 +/- 1.0271 AU
  e      =   1.297395 +/- 0.0496
  i      = 108.924559 +/- 0.4923 deg
  peri   = 151.288323 +/- 1.3117 deg
  node   = 137.313214 +/- 0.0000 deg
  Pi     = 288.601538 +/- 1.3116 deg
  q      =   0.943377 +/- 0.0069 AU
  f      =  28.707721 +/- 1.3117 deg
  M      =        nan +/- nan deg
  Q      =  -7.287643 +/- 2.0581 AU
  n      =   0.174453 +/- 0.0391 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -2.059210 +/- 0.2780
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 2.212605
 a2 = 18.399566

Mean time residuals from time vs. length:
  Station with reference time: UK0026
  Avg. res. = 7.886e-07 s
  Stddev    = 8.88e-04 s

Begin point on the trajectory:
  Lon =    -1.063233 +/- 0.0004 deg
  Lat =    54.434963 +/- 0.0012 deg
  Ht  = 104888.58 +/- 33.74 m
End point on the trajectory:
  Lon =    -1.166914 +/- 0.0004 deg
  Lat =    54.372138 +/- 0.0011 deg
  Ht  = 94343.88 +/- 26.45 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,   5.715190,  14.053001,   104370.40,    95333.78,          0.004439,     21.54,      9.19,              41.48, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_000653_894_0326144.fits"}
    UK0026,   False,    -0.023645,    52.984073,    6.00,   1.295665,  20.505051,   104888.58,    94343.88,          0.015438,     30.65,     44.68,              52.45, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210810_000652_662_0341760.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,  0.054483, 2459436.504872824997, 133.75913,  56.75412,                3.11521,  18.72761,         3.11521,       18.72761,    133.75913,     +56.75412,     133.75935,      +56.75412,  2868560.55, -2460052.74,  5249790.24,      54.431884,       -1.068322,  104370.40,  304791.19,       0.00,             2734.79,   -50.58,      0.00,           62134.77,     -0.00,     -0.01,           0.01,  +1.69,  -0.73
  1,     UK001L,       0,  0.094735, 2459436.504873290658, 134.19594,  56.53076,                2.87604,  18.49054,         2.88389,       18.48391,    134.19594,     +56.53076,     134.18353,      +56.52372,  2867712.92, -2460939.00,  5247492.10,      54.420542,       -1.087057,  102462.53,  302844.02,    2604.87,             5339.66,    57.18,  64714.14,           62134.77,     20.67,     48.44,          35.87,  +2.04,  -0.37
  2,     UK001L,       0,  0.134971, 2459436.504873756319, 134.56206,  56.31380,                2.67534,  18.26296,         2.67499,       18.26325,    134.56206,     +56.31380,     134.56319,      +56.31411,  2866955.50, -2461730.94,  5245438.53,      54.410398,       -1.103816,  100758.10,  301112.51,    4932.53,             7667.32,  -111.28,  57850.19,           62134.77,     -0.92,     -2.15,           1.60,  +1.84,  -0.55
  3,     UK001L,       0,  0.175239, 2459436.504874222446, 134.98535,  56.07017,                2.44050,  18.00796,         2.43717,       18.01077,    134.98535,     +56.07017,     134.99151,      +56.07312,  2866100.33, -2462625.09,  5243119.94,      54.398937,       -1.122718,   98834.16,  299167.42,    7560.59,            10295.37,    18.67,  65264.05,           62134.77,     -8.68,    -20.37,          15.27,  +1.62,  -0.76
  4,     UK001L,       0,  0.215471, 2459436.504874688108, 135.36521,  55.85890,                2.22728,  17.78736,         2.22726,       17.78738,    135.36521,     +55.85890,     135.36614,      +55.85892,  2865353.63, -2463405.83,  5241095.42,      54.388921,       -1.139244,   97154.62,  297477.63,    9855.32,            12590.11,  -182.47,  57037.56,           61286.06,     -0.07,     -0.15,           0.12,  +1.77,  -0.60
  5,     UK001L,       0,  0.255727, 2459436.504875154234, 135.77222,  55.62320,                1.99702,  17.54259,         1.99772,       17.54200,    135.77222,     +55.62320,     135.77213,      +55.62259,  2864543.92, -2464252.44,  5238900.08,      54.378052,       -1.157150,   95333.78,  295654.60,   12343.68,            15078.46,  -191.47,  61813.24,           61118.85,      1.80,      4.22,           3.20,  +2.47,  +0.12
  0,     UK0026,       1,  0.000000, 2459436.504872228485, 184.60801,  62.02008,              337.77798,  30.17041,       337.79917,       30.14661,    184.60801,     +62.02008,     184.54927,      +62.00816,  2869450.45, -2459122.28,  5252202.99,      54.443782,       -1.048615,  106373.91,  206887.30,       0.00,                0.00,   594.58,      0.00,           57190.22,     89.47,     61.30,         108.12,  +4.45,  +2.87
  1,     UK0026,       0,  0.040156, 2459436.504872693215, 184.92380,  61.59614,              337.38945,  29.87238,       337.38868,       29.87325,    184.92380,     +61.59614,     184.92610,      +61.59657,  2868790.73, -2459812.06,  5250414.32,      54.434963,       -1.063233,  104888.58,  205652.19,    2027.40,             2027.40,   130.83,  50488.19,           57190.22,     -3.26,     -2.24,           3.97,  +1.75,  +0.18
  2,     UK0026,       0,  0.080288, 2459436.504873157945, 185.39776,  61.11882,              336.89296,  29.56657,       336.90827,       29.54955,    185.39776,     +61.11882,     185.35681,      +61.11049,  2868023.17, -2460614.62,  5248333.25,      54.424694,       -1.080213,  103160.78,  204230.60,    4386.24,             4386.24,    -0.00,  58777.05,           57190.22,     63.56,     43.56,          77.82,  +1.36,  -0.19
  3,     UK0026,       0,  0.120476, 2459436.504873622674, 185.78286,  60.58650,              336.40602,  29.19440,       336.39902,       29.20214,    185.78286,     +60.58650,     185.80195,      +60.59024,  2867215.35, -2461459.25,  5246143.04,      54.413879,       -1.098076,  101342.80,  202753.26,    6868.78,             6868.78,   -10.61,  61772.96,           57190.22,    -28.77,    -19.75,          35.50,  +0.92,  -0.61
  4,     UK0026,       0,  0.160616, 2459436.504874087404, 186.27880,  60.06451,              335.86787,  28.86073,       335.88210,       28.84509,    186.27880,     +60.06451,     186.24229,      +60.05704,  2866401.60, -2462310.09,  5243936.75,      54.402976,       -1.116070,   99511.89,  201285.16,    9369.55,             9369.55,    -0.00,  62301.19,           58723.45,     57.97,     39.73,          72.01,  +1.07,  -0.45
  5,     UK0026,       0,  0.200784, 2459436.504874552600, 186.65262,  59.56319,              335.39928,  28.51770,       335.40485,       28.51161,    186.65262,     +59.56319,     186.63911,      +59.56032,  2865656.14, -2463089.53,  5241915.61,      54.392980,       -1.132568,   97835.00,  199958.71,   11660.45,            11660.45,  -201.00,  57032.99,           58919.98,     22.49,     15.42,          28.13,  +1.16,  -0.34
  6,     UK0026,       0,  0.240984, 2459436.504875017796, 187.02654,  58.98839,              334.88736,  28.11299,       334.86927,       28.13266,    187.02654,     +58.98839,     187.07338,      +58.99755,  2864824.96, -2463958.59,  5239662.08,      54.381825,       -1.150944,   95965.74,  198500.13,   14214.76,            14214.76,  -140.57,  63540.23,           59485.76,    -72.33,    -49.66,          91.17,  +1.18,  -0.31
  7,     UK0026,       0,  0.281116, 2459436.504875482060, 187.44308,  58.50099,              334.40086,  27.79741,       334.40080,       27.79748,    187.44308,     +58.50099,     187.44440,      +58.50102,  2864103.64, -2464712.78,  5237706.39,      54.372138,       -1.166914,   94343.88,  197253.05,   16431.48,            16431.48,  -413.52,  55235.62,           59367.48,     -0.23,     -0.15,           0.29,  +2.92,  +1.44

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.