Orbital Analysis for matched events on 20210813_010111.863_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.31° Bg 37.48° Vg 58.38km/s
mass 0.03546g, abs. mag -1.0
Path Details
------------
start -0.50° 52.14° 108.12km
end   -0.60° 52.10° 97.52km

Orbit Details
-------------
Semimajor axis 5.64A.U., eccentricity 0.83, inclination 114.33°, Period 13.39Y, LA Sun 140.23°, last Perihelion 2021-07-23

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: 2459439.542498417199
Time: 2021-08-13 01:01:11.903278 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0002 and UK000C
 Convergence angle = 0.91826 deg
 R.A. = 200.79424  Dec = +68.23116 deg
Intersection 2 - Stations: UK0002 and UK002H
 Convergence angle = 27.75383 deg
 R.A. =  46.54650  Dec = +57.57806 deg
Intersection 3 - Stations: UK000C and UK002H
 Convergence angle = 28.31792 deg
 R.A. =  48.43428  Dec = +58.75522 deg

Best intersection: Stations UK000C and UK002H with Qconv = 28.32 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3658738.10 +/- 78.91 m
 Y =  -1590294.92 +/- 154.36 m
 Z =   5099342.28 +/- 780.30 m
 Vx =    22580.37 +/- 1849.81 m/s
 Vy =    23348.82 +/- 1188.42 m/s
 Vz =    49758.99 +/- 1968.31 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.238112e+03, +5.127191e+03, +1.208364e+04, +2.081195e+04, -1.604579e+04, -2.404546e+04
+5.127191e+03, +1.127870e+04, +4.111896e+04, -3.625275e+04, -1.208189e+04, +7.987465e+04
+1.208364e+04, +4.111896e+04, +2.638698e+05, -1.911920e+05, -1.243473e+05, +4.863340e+05
+2.081195e+04, -3.625275e+04, -1.911920e+05, +3.984583e+05, +4.189300e+03, -6.831549e+05
-1.604579e+04, -1.208189e+04, -1.243473e+05, +4.189300e+03, +1.299007e+05, -6.937817e+04
-2.404546e+04, +7.987465e+04, +4.863340e+05, -6.831549e+05, -6.937817e+04, +1.533790e+06

Timing offsets (from input data):
    UK0002: 0.000991 s
    UK000C: 0.000000 s
    UK002H: 0.001745 s

Reference point on the trajectory:
  Time: 2021-08-13 01:01:11.903278 UTC
  Lon     = +-0.484045 +/- 0.0022 deg
  Lat     = +52.146026 +/- 0.0046 deg
  Lat geo = +51.962563 +/- 0.0046 deg
  Ht      =  109571.07 +/- 590.29 m

  JD dynamic   = 2459439.543299621437 
  LST apparent = 336.5075031526 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.95853 +/- 1.1276 deg
  Dec       = +56.86453 +/- 1.6531 deg
  Azimuth   =  54.70286 +/- 2.7087 deg
  Elevation = +51.16149 +/- 0.4125 deg
  Vavg      =  57.58525 +/- 1.0722 km/s
  Vinit     =  59.42220 +/- 1.2088 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.13716 +/- 1.1276 deg
  Dec       = +56.64501 +/- 1.6531 deg
  Azimuth   =  54.95967 +/- 2.7087 deg
  Elevation = +50.98333 +/- 0.4125 deg
  Vavg      =  57.73468 +/- 1.0722 km/s
  Vinit     =  59.57162 +/- 1.2088 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.15052 +/- 1.1233 deg
  Dec    = +56.63738 +/- 1.6694 deg
  Vg     =  58.37697 +/- 1.2307 km/s
  Vinf   =  59.42220 +/- 1.2088 km/s
  Zc     =  38.94476 +/- 0.4091 deg
  Zg     =  39.30426 +/- 0.4204 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.30719 +/- 1.3784 deg
  Bg     = +37.48481 +/- 1.4013 deg
  Vh     =  39.92218 +/- 1.8335 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.36937 +/- 3.2449 deg
  Bh     = +62.85771 +/- 0.8574 deg
  Vh_x   =  -3.67168 +/- 0.9236 km/s
  Vh_y   = -17.83862 +/- 0.7104 km/s
  Vh_z   = -35.52580 +/- 1.8404 km/s
Orbit:
  La Sun = 140.229307 +/- nan deg
  a      =   5.639090 +/- 3.9928 AU
  e      =   0.829493 +/- 0.1560
  i      = 114.325722 +/- 1.3487 deg
  peri   = 152.545838 +/- 1.9177 deg
  node   = 140.228776 +/- 0.0001 deg
  Pi     = 292.774614 +/- 1.9178 deg
  q      =   0.961502 +/- 0.0051 AU
  f      =  27.450337 +/- 1.9177 deg
  M      =   1.480251 +/- nan deg
  Q      =  10.316679 +/- 7.9855 AU
  n      =   0.073602 +/- 0.1028 deg/day
  T      =  13.391037 +/- 249443823.3358 years
  Last perihelion JD = 2459419.431787 (2021-07-23 22:21:46.391010) +/- 2.0615 days
  Tj     =   0.443922 +/- 0.8451
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.004124e-02, -1.490258e-04, +1.229891e-01, +9.202968e-08, +1.328542e-03, -1.246070e-03
q   , -1.490258e-04, +2.304370e-05, +2.166457e-03, -7.549537e-10, +8.133837e-05, +1.037393e-05
Tp  , +1.229891e-01, +2.166457e-03, +2.314801e+00, +1.274851e-06, +3.632355e-02, -1.719909e-02
node, +9.202968e-08, -7.549537e-10, +1.274851e-06, +1.206701e-12, +1.560328e-08, -1.635773e-08
peri, +1.328542e-03, +8.133837e-05, +3.632355e-02, +1.560328e-08, +6.768615e-04, -2.100116e-04
i   , -1.246070e-03, +1.037393e-05, -1.719909e-02, -1.635773e-08, -2.100116e-04, +2.217955e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.068793
 a2 = 31.985269

Mean time residuals from time vs. length:
  Station with reference time: UK000C
  Avg. res. = 5.077e-07 s
  Stddev    = 7.13e-04 s

Begin point on the trajectory:
  Lon =    -0.497788 +/- 0.0011 deg
  Lat =    52.140039 +/- 0.0038 deg
  Ht  = 108115.18 +/- 459.02 m
End point on the trajectory:
  Lon =    -0.598913 +/- 0.0016 deg
  Lat =    52.096317 +/- 0.0014 deg
  Ht  = 97520.00 +/- 65.14 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
    UK0002,   False,     0.265820,    50.757180,   60.00,   0.000000,   0.000000,   105813.09,    98547.59,          0.012945,     22.07,     37.48,              53.06, 0.6388,    True,    True, {"ff_name": "FF_UK0002_20210813_010108_409_0445696.fits"}
    UK000C,   False,    -0.727590,    51.263100,   57.00,   4.413340,  15.972487,   108115.18,    97523.40,          0.037593,     46.86,     77.09,              27.79, 0.2174,    True,    True, {"ff_name": "FF_UK000C_20210813_010109_696_0436736.fits"}
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.435898,  24.037452,   106720.00,    97520.00,          0.026252,     84.69,     52.68,              63.51, 0.8011,    True,    True, {"ff_name": "FF_UK002H_20210813_010105_179_0416000.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,     UK0002,       1,  0.049858, 2459439.542499025818, 201.80806,  66.99601,              341.03920,  32.45977,       341.04156,       32.45759,    201.80806,     +66.99601,     201.80079,      +66.99521,  3657628.62, -1591442.15,  5096897.39,      52.136673,       -0.505564,  107297.10,  195894.76,       0.00,             2919.68,   494.14,      0.00,           55626.79,      8.70,      5.12,          10.63,  +3.64,  +2.18
  1,     UK0002,       0,  0.090234, 2459439.542499493342, 202.13561,  66.55337,              340.63350,  32.15150,       340.63799,       32.14736,    202.13561,     +66.55337,     202.12218,      +66.55186,  3656904.44, -1592190.98,  5095301.56,      52.130563,       -0.519747,  105813.09,  194806.86,    1905.74,             4825.42,     0.65,  47199.77,           55626.79,     16.47,      9.69,          20.23,  +1.54,  +0.09
  2,     UK0002,       0,  0.130750, 2459439.542499962263, 202.50497,  65.94566,              340.10676,  31.71377,       340.09546,       31.72412,    202.50497,     +65.94566,     202.53876,      +65.94937,  3655933.39, -1593195.07,  5093161.72,      52.122362,       -0.538712,  103823.53,  193366.99,    4461.14,             7380.82,   148.50,  63071.37,           55626.79,    -41.09,    -24.19,          50.86,  +0.61,  -0.82
  3,     UK0002,       0,  0.171198, 2459439.542500430252, 202.82909,  65.41902,              339.64731,  31.33724,       339.62802,       31.35481,    202.82909,     +65.41902,     202.88557,      +65.42522,  3655102.02, -1594054.74,  5091329.68,      52.115335,       -0.554977,  102120.44,  192153.29,    6648.96,             9568.64,   -67.19,  54089.73,           55626.79,    -69.62,    -41.00,          86.73,  +0.14,  -1.28
  4,     UK0002,       0,  0.211686, 2459439.542500898708, 203.26547,  64.83848,              339.10611,  30.94209,       339.10923,       30.93926,    203.26547,     +64.83848,     203.25728,      +64.83750,  3654183.09, -1595004.94,  5089304.68,      52.107561,       -0.572941,  100238.31,  190831.74,    9067.22,            11986.90,   -54.82,  59727.78,           56542.22,     11.18,      6.57,          14.02,  +0.05,  -1.35
  5,     UK0002,       0,  0.252138, 2459439.542501367163, 203.58899,  64.30235,              338.63785,  30.56157,       338.64053,       30.55915,    203.58899,     +64.30235,     203.58236,      +64.30153,  3653357.47, -1595858.66,  5087485.32,      52.100570,       -0.589102,   98547.59,  189663.33,   11239.90,            14159.58,  -285.89,  53710.07,           56399.12,      9.54,      5.61,          12.04,  +0.38,  -1.01
  0,     UK000C,       1,  0.000000, 2459439.542498417199,  96.55439,  82.45580,                9.57595,  47.04071,         9.60635,       46.99293,     96.55439,     +82.45580,      96.74530,      +82.41020,  3658693.53, -1590341.00,  5099244.08,      52.145650,       -0.484740,  109479.73,  148552.56,       0.00,              117.27,   654.41,      0.00,           53582.77,    115.37,     70.18,         187.50,  +4.37,  +3.51
  1,     UK000C,       0,  0.040044, 2459439.542498880532,  98.99722,  82.56722,                9.15745,  46.86144,         9.15774,       46.86098,     98.99722,     +82.56722,      98.99889,      +82.56677,  3658027.79, -1591029.40,  5097777.02,      52.140039,       -0.497788,  108115.18,  147019.55,    1751.96,             1869.23,    26.86,  43750.87,           53582.77,      1.10,      0.67,           1.80,  +1.39,  +0.55
  2,     UK000C,       0,  0.080024, 2459439.542499343399, 102.17826,  82.77916,                8.53533,  46.69440,         8.54703,       46.67660,    102.17826,     +82.77916,     102.23983,      +82.76123,  3657134.81, -1591952.77,  5095809.21,      52.132507,       -0.515234,  106285.14,  144971.68,    4101.93,             4219.20,     1.13,  58778.54,           53582.77,     42.19,     25.72,          70.30,  +0.93,  +0.12
  3,     UK000C,       0,  0.120024, 2459439.542499806266, 105.55117,  82.94937,                7.93448,  46.50994,         7.94704,       46.49113,    105.55117,     +82.94937,     105.60903,      +82.92992,  3656275.94, -1592840.87,  5093916.56,      52.125256,       -0.532025,  104525.31,  143010.94,    6362.12,             6479.39,  -115.57,  56504.81,           53582.77,     44.12,     26.89,          74.52,  +0.35,  -0.43
  4,     UK000C,       0,  0.160016, 2459439.542500269134, 109.61909,  83.12081,                7.24173,  46.29924,         7.25967,       46.27287,    109.61909,     +83.12081,     109.68633,      +83.09280,  3655311.86, -1593837.75,  5091792.10,      52.117109,       -0.550856,  102550.29,  140821.08,    8899.16,             9016.43,    45.06,  63438.66,           56018.73,     61.16,     37.25,         104.89,  +0.02,  -0.72
  5,     UK000C,       0,  0.200004, 2459439.542500732001, 113.54391,  83.25541,                6.59905,  46.10719,         6.62685,       46.06698,    113.54391,     +83.25541,     113.62383,      +83.21180,  3654444.30, -1594734.84,  5089880.31,      52.109771,       -0.567822,  100773.29,  138860.62,   11182.22,            11299.49,   -48.05,  57093.65,           56868.41,     92.34,     56.17,         160.54,  +0.10,  -0.61
  6,     UK000C,       0,  0.240008, 2459439.542501194868, 117.79620,  83.34150,                5.94782,  45.88614,         5.97382,       45.84917,    117.79620,     +83.34150,     117.84552,      +83.30073,  3653567.22, -1595641.77,  5087947.54,      52.102346,       -0.584976,   98977.10,  136889.03,   13490.33,            13607.60,  -117.07,  57696.94,           57260.73,     84.02,     51.11,         148.18,  +0.04,  -0.64
  7,     UK000C,       0,  0.279988, 2459439.542501657736, 121.38362,  83.41439,                5.39090,  45.72589,         5.43389,       45.66548,    121.38362,     +83.41439,     121.42913,      +83.34713,  3652857.28, -1596375.87,  5086383.07,      52.096331,       -0.598896,   97523.40,  135300.91,   15358.61,            15475.88,  -624.48,  46730.57,           56547.10,    136.17,     82.66,         242.85,  +1.59,  +0.93
  8,     UK000C,       1,  0.320004, 2459439.542502121069, 126.10625,  83.42365,                4.70642,  45.47385,         4.74252,       45.42402,    126.10625,     +83.42365,     126.10467,      +83.36776,  3651962.85, -1597300.74,  5084412.08,      52.088747,       -0.616394,   95692.25,  133310.88,   17712.38,            17829.65,  -648.56,  58820.60,           56365.66,    111.15,     67.52,         201.23,  +5.04,  +4.42
  0,     UK002H,       0,  0.072384, 2459439.542499273084,  11.75682,   0.00097,              136.62283,  28.37362,       136.57952,       28.33637,     11.75682,      +0.00097,      11.80694,       -0.01739,  3657347.02, -1591733.34,  5096276.84,      52.134297,       -0.511102,  106720.00,  218769.56,       0.00,             3660.74,  -103.34,      0.00,           60358.00,    107.45,    172.82,         191.86,  +2.06,  +0.36
  1,     UK002H,       0,  0.112900, 2459439.542499742005,  11.61158,  -0.57157,              137.03815,  27.91018,       137.04602,       27.91692,     11.61158,      -0.57157,      11.60275,       -0.56824,  3656397.64, -1592715.03,  5094184.76,      52.126284,       -0.529646,  104774.67,  217644.65,    2498.37,             6159.11,   -12.52,  61663.77,           60358.00,    -19.46,    -31.22,          34.87,  +1.42,  -0.27
  2,     UK002H,       0,  0.153400, 2459439.542500210460,  11.41676,  -1.12619,              137.49288,  27.48188,       137.50913,       27.49574,     11.41676,      -1.12619,      11.39840,       -1.11931,  3655457.49, -1593687.17,  5092113.00,      52.118340,       -0.548015,  102848.59,  216553.38,    4972.46,             8633.21,    54.97,  61088.73,           60358.00,    -40.00,    -64.14,          72.00,  +0.48,  -1.20
  3,     UK002H,       0,  0.193868, 2459439.542500678916,  11.20166,  -1.64790,              137.95010,  27.09034,       137.95015,       27.09037,     11.20166,      -1.64790,      11.20221,       -1.64789,  3654564.42, -1594610.63,  5090145.01,      52.110788,       -0.565476,  101019.31,  215537.73,    7322.64,            10983.38,     0.45,  58074.86,           60358.00,     -0.10,     -0.16,           0.18,  +0.40,  -1.27
  4,     UK002H,       0,  0.234316, 2459439.542501146905,  10.99177,  -2.14522,              138.38785,  26.71759,       138.36896,       26.70157,     10.99177,      -2.14522,      11.01440,       -2.15324,  3653718.29, -1595485.56,  5088280.44,      52.103626,       -0.582033,   99286.46,  214594.54,    9549.30,            13210.05,  -176.39,  55050.11,           59093.82,     46.06,     74.01,          83.79,  +0.87,  -0.79
  5,     UK002H,       0,  0.274788, 2459439.542501615360,  10.80508,  -2.66745,              138.80977,  26.31141,       138.79670,       26.30037,     10.80508,      -2.66745,      10.82115,       -2.67300,  3652855.61, -1596377.60,  5086379.40,      52.096317,       -0.598913,   97520.00,  213652.75,   11819.52,            15480.27,  -311.11,  56093.62,           58303.86,     31.73,     50.98,          57.97,  +1.52,  -0.13

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.