Orbital Analysis for matched events on 20210810_032426.927_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.76° Bg 39.23° Vg 56.19km/s
mass 0.02537g, abs. mag -1.2
Path Details
------------
start 1.20° 51.90° 105.76km
end   1.14° 51.87° 94.85km

Orbit Details
-------------
Semimajor axis 4.63A.U., eccentricity 0.80, inclination 109.21°, Period 9.98Y, LA Sun 137.45°, last Perihelion 2021-07-13

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: 2459436.641978328116
Time: 2021-08-10 03:24:26.927549 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002C
 Convergence angle = 23.65221 deg
 R.A. =  47.77256  Dec = +59.27775 deg
Intersection 2 - Stations: UK002B and UK003A
 Convergence angle = 50.25231 deg
 R.A. =  50.84278  Dec = +59.29364 deg
Intersection 3 - Stations: UK002C and UK003A
 Convergence angle = 26.61488 deg
 R.A. =  52.51973  Dec = +58.19142 deg

Best intersection: Stations UK002B and UK003A with Qconv = 50.25 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3933790.09 +/- 42.82 m
 Y =    774693.26 +/- 103.04 m
 Z =   5078953.29 +/- 86.13 m
 Vx =    19572.71 +/- 867.80 m/s
 Vy =    22063.17 +/- 783.57 m/s
 Vz =    49098.49 +/- 764.25 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.705684e+03, -4.489538e+02, -1.363342e+03, +1.243204e+04, -1.172520e+04, -1.454675e+04
-4.489538e+02, +9.869619e+03, +7.310975e+03, -1.976899e+03, +4.930189e+04, +2.183323e+04
-1.363342e+03, +7.310975e+03, +6.669992e+03, -1.176641e+04, +4.663240e+04, +2.843945e+04
+1.243204e+04, -1.976899e+03, -1.176641e+04, +1.372107e+05, -1.408517e+05, -1.548420e+05
-1.172520e+04, +4.930189e+04, +4.663240e+04, -1.408517e+05, +4.496321e+05, +2.758102e+05
-1.454675e+04, +2.183323e+04, +2.843945e+04, -1.548420e+05, +2.758102e+05, +2.282789e+05

Timing offsets (from input data):
    UK002B: 0.000000 s
    UK002C: 0.000047 s
    UK002K: 0.000000 s
    UK003A: 0.000108 s

Reference point on the trajectory:
  Time: 2021-08-10 03:24:26.927549 UTC
  Lon     = ++1.195535 +/- 0.0015 deg
  Lat     = +51.896264 +/- 0.0006 deg
  Lat geo = +51.712298 +/- 0.0006 deg
  Ht      =  105768.84 +/- 70.57 m

  JD dynamic   = 2459436.642779069021 
  LST apparent = 11.1408682778 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.42309 +/- 1.4963 deg
  Dec       = +59.00662 +/- 0.2944 deg
  Azimuth   =  56.48416 +/- 0.7648 deg
  Elevation = +68.02979 +/- 0.7617 deg
  Vavg      =  55.72864 +/- 0.6548 km/s
  Vinit     =  57.27596 +/- 0.7172 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.87229 +/- 1.4963 deg
  Dec       = +58.85421 +/- 0.2944 deg
  Azimuth   =  56.91095 +/- 0.7648 deg
  Elevation = +67.80347 +/- 0.7617 deg
  Vavg      =  55.82051 +/- 0.6548 km/s
  Vinit     =  57.36783 +/- 0.7172 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.41110 +/- 1.4975 deg
  Dec    = +58.93694 +/- 0.2968 deg
  Vg     =  56.19020 +/- 0.7307 km/s
  Vinf   =  57.27596 +/- 0.7172 km/s
  Zc     =  22.07229 +/- 0.7617 deg
  Zg     =  22.28616 +/- 0.7638 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.75885 +/- 0.9531 deg
  Bg     = +39.22932 +/- 0.3588 deg
  Vh     =  39.48171 +/- 0.6921 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  91.40263 +/- 1.1858 deg
  Bh     = +64.17035 +/- 1.0835 deg
  Vh_x   =   0.42107 +/- 0.4127 km/s
  Vh_y   = -17.19690 +/- 0.9565 km/s
  Vh_z   = -35.53723 +/- 0.3322 km/s
Orbit:
  La Sun = 137.445352 +/- -0.0000 deg
  a      =   4.633874 +/- 243.7238 AU
  e      =   0.803715 +/- 0.0578
  i      = 109.211206 +/- 0.6705 deg
  peri   = 140.297589 +/- 0.8114 deg
  node   = 137.445998 +/- 0.0000 deg
  Pi     = 277.743587 +/- 0.8114 deg
  q      =   0.909559 +/- 0.0079 AU
  f      =  39.699028 +/- 0.8114 deg
  M      =   2.767976 +/- nan deg
  Q      =   8.358190 +/- 487.4431 AU
  n      =   0.098807 +/- 0.0327 deg/day
  T      =   9.975094 +/- 249443821.7819 years
  Last perihelion JD = 2459408.628808 (2021-07-13 03:05:28.970535) +/- 0.2284 days
  Tj     =   0.753593 +/- 0.3409
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.889886e-03, -2.876616e-04, +7.160095e-04, -1.755170e-08, -5.194907e-04, +2.810443e-04
q   , -2.876616e-04, +4.825295e-05, +3.796718e-04, +3.327417e-09, +9.414222e-05, -5.335338e-05
Tp  , +7.160095e-04, +3.796718e-04, +5.405018e-02, +6.453245e-08, +1.457822e-03, -1.042048e-03
node, -1.755170e-08, +3.327417e-09, +6.453245e-08, +4.893775e-13, +7.026215e-09, -7.853973e-09
peri, -5.194907e-04, +9.414222e-05, +1.457822e-03, +7.026215e-09, +1.937520e-04, -1.127678e-04
i   , +2.810443e-04, -5.335338e-05, -1.042048e-03, -7.853973e-09, -1.127678e-04, +1.260507e-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: UK002B
  Avg. res. = 4.246e-06 s
  Stddev    = 2.06e-03 s

Begin point on the trajectory:
  Lon =     1.195489 +/- 0.0014 deg
  Lat =    51.896245 +/- 0.0006 deg
  Ht  = 105759.34 +/- 56.87 m
End point on the trajectory:
  Lon =     1.142122 +/- 0.0016 deg
  Lat =    51.874715 +/- 0.0007 deg
  Ht  = 94852.02 +/- 50.49 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,  32.061644,   0.000000,   105759.34,    94933.47,          0.010168,     41.69,      9.04,              39.49, 0.4043,    True,    True, {"ff_name": "FF_UK002B_20210810_032422_912_0644352.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.005194,  53.429876,   102874.95,    94852.02,          0.016974,     56.96,     41.45,              41.30, 0.4357,    True,    True, {"ff_name": "FF_UK002C_20210810_032420_626_0637696.fits"}
    UK002K,    True,    -0.382860,    53.537770,   34.00, 118879.030647,   0.003930,   101537.95,    95173.72,          0.151993,       nan,       nan,              66.82, 0.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_032422_282_0631552.fits"}
    UK003A,   False,    -2.395630,    52.113500,   85.00,   0.000000,   0.000000,   105114.96,    98881.06,          0.020511,     45.14,     84.41,              49.53, 0.5788,    True,    True, {"ff_name": "FF_UK003A_20210810_032426_702_0629760.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,     UK002B,       0,  0.000000, 2459436.641978328116, 108.92721,  40.99496,               55.01710,  25.01165,        55.04119,       25.01176,    108.92721,     +40.99496,     108.90607,      +40.98007,  3933786.59,   774689.32,  5078944.51,      51.896245,       +1.195489,  105759.34,  241364.10,       0.00,               10.24,  -167.69,      0.00,           58799.36,    -19.47,     89.87,          78.59,  +3.41,  +1.50
  1,     UK002B,       0,  0.040316, 2459436.641978794709, 109.25871,  40.70390,               55.03516,  24.62782,        55.04187,       24.62785,    109.25871,     +40.70390,     109.25297,      +40.69975,  3932949.80,   773746.05,  5076845.40,      51.891771,       +1.184403,  103488.51,  239515.07,    2448.72,             2458.96,   -28.12,  60738.06,           58799.36,     -5.41,     24.94,          21.98,  +1.84,  -0.06
  2,     UK002B,       0,  0.080624, 2459436.641979261301, 109.58485,  40.42265,               55.04660,  24.25315,        55.04248,       24.25313,    109.58485,     +40.42265,     109.58882,      +40.42519,  3932145.18,   772839.05,  5074826.99,      51.887465,       +1.173731,  101305.08,  237747.08,    4803.29,             4813.54,    17.78,  58414.67,           58799.36,      3.31,    -15.23,          13.52,  +1.50,  -0.38
  3,     UK002B,       0,  0.120932, 2459436.641979727894, 109.91131,  40.14430,               55.05327,  23.87970,        55.04304,       23.87965,    109.91131,     +40.14430,     109.92086,      +40.15060,  3931354.91,   771948.22,  5072844.58,      51.883232,       +1.163242,   99160.69,  236020.50,    7115.89,             7126.13,    21.70,  57373.08,           58799.36,      8.18,    -37.66,          33.68,  +1.16,  -0.70
  4,     UK002B,       0,  0.161240, 2459436.641980194487, 110.24899,  39.87293,               55.04553,  23.50488,        55.04359,       23.50488,    110.24899,     +39.87293,     110.25138,      +39.87413,  3930573.28,   771067.14,  5070883.86,      51.879041,       +1.152861,   97039.87,  234322.73,    9403.16,             9413.40,     0.29,  56744.93,           58233.05,      1.54,     -7.10,           6.39,  +1.13,  -0.72
  5,     UK002B,       0,  0.201544, 2459436.641980660614, 110.58217,  39.59548,               55.04271,  23.12723,        55.04413,       23.12724,    110.58217,     +39.59548,     110.58175,      +39.59460,  3929796.94,   770192.02,  5068936.39,      51.874876,       +1.142544,   94933.47,  232646.45,   11674.99,            11685.23,   -36.33,  56367.22,           57804.73,     -1.12,      5.18,           4.70,  +1.40,  -0.43
  0,     UK002C,       0,  0.047497, 2459436.641978875734,  95.13790,  29.47789,               72.64555,  24.38242,        72.65929,       24.38462,     95.13790,     +29.47789,      95.12588,      +29.47093,  3932723.70,   773491.18,  5076278.23,      51.890561,       +1.181423,  102874.95,  239943.65,       0.00,             3120.60,   222.22,      0.00,           56144.63,    -31.32,     43.01,          45.74,  +2.24,  +0.34
  1,     UK002C,       0,  0.087753, 2459436.641979341861,  95.33751,  29.23757,               72.68664,  24.08811,        72.71516,       24.09268,     95.33751,     +29.23757,      95.31251,      +29.22312,  3932104.64,   772793.35,  5074725.30,      51.887248,       +1.173173,  101195.07,  238615.68,    1811.57,             4932.17,  -271.92,  45001.17,           56144.63,    -64.77,     89.03,          95.17,  +1.17,  -0.72
  2,     UK002C,       0,  0.128145, 2459436.641979809385,  95.61425,  28.85739,               72.77682,  23.64509,        72.79991,       23.64880,     95.61425,     +28.85739,      95.59422,      +28.84570,  3931177.67,   771748.43,  5072399.97,      51.882282,       +1.160897,   98679.77,  236644.37,    4524.19,             7644.78,   127.21,  67157.32,           56144.63,    -52.17,     71.69,          77.28,  +1.05,  -0.82
  3,     UK002C,       0,  0.168457, 2459436.641980275977,  95.80817,  28.54238,               72.87452,  23.29849,        72.86649,       23.29720,     95.80817,     +28.54238,      95.81603,      +28.54645,  3930453.74,   770932.38,  5070583.97,      51.878400,       +1.151269,   96715.49,  235112.93,    6642.64,             9763.24,   -63.24,  52551.57,           56144.63,     18.09,    -24.81,          26.94,  +1.04,  -0.82
  4,     UK002C,       0,  0.208757, 2459436.641980742570,  96.01947,  28.25434,               72.93862,  22.96079,        72.93009,       22.95942,     96.01947,     +28.25434,      96.02794,      +28.25865,  3929766.93,   770158.18,  5068861.10,      51.874715,       +1.142122,   94852.02,  233668.03,    8652.47,            11773.07,  -361.64,  49871.59,           54898.96,     19.13,    -26.25,          28.68,  +1.96,  +0.12
  0,     UK002K,       1,  2.173289, 2459436.642003481742,  37.28633,  -7.64603,              149.56117,  24.48048,       149.68921,       24.53198,     37.28633,      -7.64603,      37.16764,       -7.63228,  3932239.27,   772945.11,  5075063.03,      51.887969,       +1.166217,  101537.95,  235946.56,       0.00,             4538.19, -120116.95,      0.00,           56805.36,   -471.79,   -229.30,         458.55,  +1.46,  -0.40
  1,     UK002K,       1,  2.213685, 2459436.642003949266,  37.24045,  -8.25687,              149.81147,  23.91209,       149.96290,       23.97293,     37.24045,      -8.25687,      37.09783,       -8.24056,  3931309.87,   771897.45,  5072731.59,      51.882991,       +1.153910,   99015.21,  234902.91,    2719.74,             7257.93, -119710.93,  67327.07,           56805.36,   -557.58,   -270.73,         544.24,  -0.12,  -1.97
  2,     UK002K,       1,  2.254017, 2459436.642004416324,  37.18418,  -8.78170,              150.04197,  23.42838,       150.19731,       23.49074,     37.18418,      -8.78170,      37.03713,       -8.76489,  3930515.24,   771001.71,  5070738.25,      51.878731,       +1.143358,   96858.30,  234031.26,    5045.08,             9583.28, -119695.64,  57654.97,           56805.36,   -571.59,   -277.51,         559.99,  -0.48,  -2.33
  3,     UK002K,       1,  2.294281, 2459436.642004882451,  37.15106,  -9.19556,              150.21092,  23.04335,       150.38098,       23.11158,     37.15106,      -9.19556,      36.98876,       -9.17711,  3929894.66,   770302.17,  5069181.52,      51.875401,       +1.135078,   95173.72,  233363.27,    6861.08,            11399.27, -120185.80,  45102.28,           56805.36,   -625.47,   -303.49,         614.45,  +1.37,  -0.47
  0,     UK003A,       0,  0.009204, 2459436.641978430562,  80.67765,  14.47470,               94.21549,  21.70610,        94.22028,       21.70758,     80.67765,     +14.47470,      80.67316,      +14.47303,  3933549.14,   774421.65,  5078348.86,      51.894976,       +1.192355,  105114.96,  270776.33,       0.00,              705.09,     0.01,      0.00,           56177.75,    -19.55,     10.47,          16.89,  +2.83,  +0.67
  1,     UK003A,       0,  0.049504, 2459436.641978897154,  80.79498,  14.11956,               94.36204,  21.35901,        94.34696,       21.35435,     80.79498,     +14.11956,      80.80945,      +14.12482,  3932772.33,   773546.00,  5076400.22,      51.890822,       +1.182050,  103006.92,  269325.75,    2273.20,             2978.29,   -35.01,  56406.84,           56177.75,     61.34,    -32.82,          53.28,  +1.60,  -0.55
  2,     UK003A,       0,  0.089840, 2459436.641979363747,  80.93524,  13.73277,               94.51040,  20.97301,        94.48565,       20.96536,     80.93524,     +13.73277,      80.95905,      +13.74140,  3931926.82,   772592.91,  5074279.24,      51.886296,       +1.170843,  100712.56,  267760.91,    4747.42,             5452.52,   128.93,  61340.47,           56177.75,    100.33,    -53.66,          87.64,  +0.72,  -1.42
  3,     UK003A,       0,  0.130108, 2459436.641979829874,  81.05067,  13.42183,               94.62665,  20.66081,        94.59708,       20.65168,     81.05067,     +13.42183,      81.07922,      +13.43215,  3931251.85,   771832.05,  5072586.07,      51.882680,       +1.161859,   98881.06,  266519.48,    6722.60,             7427.69,  -202.28,  49050.75,           56177.75,    119.53,    -63.91,         104.90,  +1.13,  -1.00

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.