Orbital Analysis for matched events on 20210813_013214.231_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.78° Bg 37.33° Vg 59.54km/s
mass 0.02264g, abs. mag -0.4
Path Details
------------
start -0.77° 53.79° 111.20km
end   -0.91° 53.74° 95.27km

Orbit Details
-------------
Semimajor axis 11.74A.U., eccentricity 0.92, inclination 115.20°, Period 40.21Y, LA Sun 140.25°, last Perihelion 2021-07-24

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: 2459439.564053609967
Time: 2021-08-13 01:32:14.231901 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK000Z
 Convergence angle = 0.61995 deg
 R.A. =  74.17090  Dec = +64.84764 deg
Intersection 2 - Stations: UK000Y and UK0026
 Convergence angle = 55.28555 deg
 R.A. =  47.21368  Dec = +56.77149 deg
Intersection 3 - Stations: UK000Z and UK0026
 Convergence angle = 55.88383 deg
 R.A. =  47.16216  Dec = +56.96646 deg

Best intersection: Stations UK000Z and UK0026 with Qconv = 55.88 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3693057.19 +/- 85.39 m
 Y =  -1058494.82 +/- 141.18 m
 Z =   5213075.46 +/- 317.66 m
 Vx =    22699.12 +/- 489.45 m/s
 Vy =    24156.82 +/- 266.67 m/s
 Vz =    50683.80 +/- 507.51 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.400124e+03, +8.326927e+03, +1.906491e+04, -8.494388e+03, -9.053240e+02, +3.159044e+03
+8.326927e+03, +1.469593e+04, +3.258826e+04, -3.151438e+04, -5.501949e+03, -2.032531e+03
+1.906491e+04, +3.258826e+04, +7.456608e+04, -6.921078e+04, -1.518262e+04, +6.129851e+02
-8.494388e+03, -3.151438e+04, -6.921078e+04, +1.395848e+05, +4.499362e+04, +6.331139e+04
-9.053240e+02, -5.501949e+03, -1.518262e+04, +4.499362e+04, +3.551702e+04, +5.177309e+04
+3.159044e+03, -2.032531e+03, +6.129851e+02, +6.331139e+04, +5.177309e+04, +1.452453e+05

Timing offsets (from input data):
    UK000Y: 0.000011 s
    UK000Z: 0.000000 s
    UK0026: -0.001826 s

Reference point on the trajectory:
  Time: 2021-08-13 01:32:14.231901 UTC
  Lon     = +-0.765725 +/- 0.0023 deg
  Lat     = +53.792247 +/- 0.0014 deg
  Lat geo = +53.611790 +/- 0.0014 deg
  Ht      =  111440.28 +/- 278.05 m

  JD dynamic   = 2459439.564854350872 
  LST apparent = 344.0067707898 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.78191 +/- 0.4399 deg
  Dec       = +56.81454 +/- 0.2631 deg
  Azimuth   =  59.01059 +/- 0.5639 deg
  Elevation = +55.40624 +/- 0.1462 deg
  Vavg      =  57.02141 +/- 0.8905 km/s
  Vinit     =  60.56113 +/- 0.4266 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.00178 +/- 0.4399 deg
  Dec       = +56.61755 +/- 0.2631 deg
  Azimuth   =  59.24928 +/- 0.5639 deg
  Elevation = +55.21939 +/- 0.1462 deg
  Vavg      =  57.15826 +/- 0.8905 km/s
  Vinit     =  60.69797 +/- 0.4266 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.88669 +/- 0.4462 deg
  Dec    = +56.61697 +/- 0.2637 deg
  Vg     =  59.53610 +/- 0.4341 km/s
  Vinf   =  60.56113 +/- 0.4266 km/s
  Zc     =  34.68697 +/- 0.1473 deg
  Zg     =  34.99241 +/- 0.1505 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.77691 +/- 0.3877 deg
  Bg     = +37.32612 +/- 0.1847 deg
  Vh     =  40.93316 +/- 0.3802 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.55555 +/- 1.1435 deg
  Bh     = +61.87612 +/- 0.2741 deg
  Vh_x   =  -3.82848 +/- 0.4056 km/s
  Vh_y   = -18.91142 +/- 0.2779 km/s
  Vh_z   = -36.10020 +/- 0.2879 km/s
Orbit:
  La Sun = 140.250004 +/- 0.0000 deg
  a      =  11.736874 +/- 2.7013 AU
  e      =   0.918175 +/- 0.0330
  i      = 115.200574 +/- 0.4611 deg
  peri   = 152.998838 +/- 1.0788 deg
  node   = 140.249590 +/- 0.0000 deg
  Pi     = 293.248428 +/- 1.0787 deg
  q      =   0.960367 +/- 0.0037 AU
  f      =  26.997354 +/- 1.0788 deg
  M      =   0.473028 +/- 0.3952 deg
  Q      =  22.513381 +/- 5.4007 AU
  n      =   0.024512 +/- 0.0180 deg/day
  T      =  40.209560 +/- 12.5737 years
  Last perihelion JD = 2459420.266880 (2021-07-24 18:24:18.390561) +/- 0.8409 days
  Tj     =  -0.063237 +/- 0.1899
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.273001e-03, +6.978694e-05, +2.649489e-02, -1.251323e-08, +5.054026e-04, +1.718431e-04
q   , +6.978694e-05, +1.167426e-05, +2.706643e-03, -1.714423e-09, +6.181243e-05, +2.357706e-05
Tp  , +2.649489e-02, +2.706643e-03, +7.518881e-01, -4.251136e-07, +1.596952e-02, +5.843258e-03
node, -1.251323e-08, -1.714423e-09, -4.251136e-07, +3.304091e-13, -9.440303e-09, -4.541691e-09
peri, +5.054026e-04, +6.181243e-05, +1.596952e-02, -9.440303e-09, +3.488717e-04, +1.297853e-04
i   , +1.718431e-04, +2.357706e-05, +5.843258e-03, -4.541691e-09, +1.297853e-04, +6.242881e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 8.199820
 a2 = 14.063226

Mean time residuals from time vs. length:
  Station with reference time: UK000Z
  Avg. res. = 3.147e-06 s
  Stddev    = 1.77e-03 s

Begin point on the trajectory:
  Lon =    -0.767811 +/- 0.0017 deg
  Lat =    53.791505 +/- 0.0012 deg
  Ht  = 111203.74 +/- 197.72 m
End point on the trajectory:
  Lon =    -0.909917 +/- 0.0012 deg
  Lat =    53.741315 +/- 0.0010 deg
  Ht  = 95274.07 +/- 149.77 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,  12.344289,  12.613704,   104510.81,    95274.07,          0.016674,     36.76,     15.41,              14.25, 0.0606,   False,    True, {"ff_name": "FF_UK000Y_20210813_013206_040_0468992.fits"}
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   9.262317,  13.365186,   111203.74,    95901.14,          0.019049,     43.05,     18.04,              14.25, 0.0606,    True,    True, {"ff_name": "FF_UK000Z_20210813_013210_217_0468992.fits"}
    UK0026,   False,    -0.023645,    52.984073,    6.00,   0.012287,  39.813084,   107602.93,    98140.70,          0.015810,      8.69,     39.64,              51.27, 0.6085,    True,    True, {"ff_name": "FF_UK0026_20210813_013204_683_0480256.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,     UK000Y,       0,  0.129537, 2459439.564055108931,  74.46927,  64.89285,               37.51072,  45.84353,        37.50861,       45.84521,     74.46927,     +64.89285,      74.46816,      +64.89497,  3689901.42, -1061853.24,  5206029.10,      53.770475,       -0.827416,  104510.81,  144258.39,       0.00,             8419.56,   285.39,      0.00,           55221.96,     -2.17,     -5.18,           8.03,  +0.67,  -0.13
  1,     UK000Y,       0,  0.169721, 2459439.564055573661,  74.97565,  64.98763,               37.23736,  45.70703,        37.25414,       45.69376,     74.97565,     +64.98763,      74.98919,      +64.97077,  3689095.63, -1062710.78,  5204229.89,      53.764903,       -0.843209,  102741.98,  142183.42,    2149.84,            10569.41,     1.64,  53500.02,           55221.96,     17.06,     40.49,          63.74,  +0.56,  -0.20
  2,     UK000Y,       0,  0.209933, 2459439.564056039322,  75.57083,  65.04812,               36.97874,  45.52231,        36.97470,       45.52549,     75.57083,     +65.04812,      75.56872,      +65.05218,  3688231.12, -1063630.81,  5202299.55,      53.758919,       -0.860145,  100844.48,  139960.27,    4456.36,            12875.92,  -127.12,  57358.95,           55221.96,     -4.02,     -9.57,          15.30,  +0.38,  -0.35
  3,     UK000Y,       0,  0.250137, 2459439.564056504518,  76.13786,  65.12487,               36.70880,  45.35779,        36.70429,       45.36132,     76.13786,     +65.12487,      76.13565,      +65.12941,  3687415.99, -1064498.29,  5200479.50,      53.753272,       -0.876128,   99055.60,  137866.52,    6631.11,            15050.68,  -387.17,  54092.89,           55221.96,     -4.42,    -10.52,          17.08,  +0.58,  -0.12
  4,     UK000Y,       0,  0.290341, 2459439.564056969713,  76.72032,  65.17088,               36.47110,  45.17325,        36.43851,       45.19863,     76.72032,     +65.17088,      76.69885,      +65.20376,  3686634.44, -1065330.03,  5198734.41,      53.747853,       -0.891463,   97340.61,  135861.37,    8716.28,            17135.85,  -736.80,  51864.75,           54508.79,    -31.32,    -74.87,         123.22,  +0.67,  +0.00
  5,     UK000Y,       0,  0.330589, 2459439.564057435840,  77.41043,  65.28117,               36.12200,  44.98610,        36.11084,       44.99478,     77.41043,     +65.28117,      77.40426,      +65.29247,  3685692.55, -1066332.41,  5196631.30,      53.741315,       -0.909917,   95274.07,  133449.28,   11229.25,            19648.81,  -661.30,  62437.05,           55439.00,    -10.59,    -25.20,          42.24,  +1.95,  +1.32
  0,     UK000Z,       0,  0.000000, 2459439.564053609967,  72.65588,  64.60779,               38.42377,  46.37158,        38.41684,       46.37713,     72.65588,     +64.60779,      72.65009,      +64.61469,  3692949.49, -1058609.43,  5212834.99,      53.791505,       -0.767811,  111203.74,  152124.84,       0.00,              287.33,    -1.95,      0.00,           59796.12,     -7.51,    -17.96,          26.39,  +3.33,  +2.42
  1,     UK000Z,       0,  0.040060, 2459439.564054073766,  73.19215,  64.68622,               38.16097,  46.21064,        38.14758,       46.22132,     73.19215,     +64.68622,      73.18138,      +64.69956,  3692018.18, -1059600.56,  5210755.50,      53.785087,       -0.786018,  109158.44,  149718.04,    2484.74,             2772.08,    56.71,  62025.52,           59796.12,    -14.24,    -34.08,          50.88,  +1.56,  +0.68
  2,     UK000Z,       0,  0.080120, 2459439.564054537099,  73.70436,  64.75339,               37.91965,  46.05447,        37.89489,       46.07412,     73.70436,     +64.75339,      73.68493,      +64.77809,  3691167.36, -1060506.01,  5208855.74,      53.779218,       -0.802672,  107290.16,  147521.26,    4754.72,             5042.06,   -99.38,  56664.55,           59796.12,    -25.87,    -62.01,          93.95,  +1.05,  +0.21
  3,     UK000Z,       0,  0.120160, 2459439.564055000897,  74.25624,  64.86058,               37.61639,  45.90525,        37.61305,       45.90790,     74.25624,     +64.86058,      74.25412,      +64.86393,  3690240.74, -1061492.13,  5206786.75,      53.772819,       -0.820799,  105255.73,  145131.95,    7226.92,             7514.26,   -52.05,  61743.27,           59796.12,     -3.45,     -8.24,          12.70,  +0.82,  +0.01
  4,     UK000Z,       0,  0.160200, 2459439.564055464230,  74.86014,  64.98146,               37.28063,  45.74591,        37.30688,       45.72511,     74.86014,     +64.98146,      74.88103,      +64.95510,  3689260.60, -1062535.22,  5204598.24,      53.766044,       -0.839970,  103104.09,  142608.18,    9841.94,            10129.27,   138.10,  65310.08,           60988.78,     26.82,     63.56,          99.78,  +0.76,  -0.01
  5,     UK000Z,       0,  0.200272, 2459439.564055928029,  75.39181,  65.02938,               37.05723,  45.57743,        37.05849,       45.57643,     75.39181,     +65.02938,      75.39360,      +65.02811,  3688488.99, -1063356.39,  5202875.34,      53.760705,       -0.855103,  101410.43,  140622.81,   11900.60,            12187.93,  -230.05,  51374.03,           59955.33,      1.27,      3.02,           4.80,  +0.62,  -0.12
  6,     UK000Z,       0,  0.240332, 2459439.564056391362,  75.99545,  65.11176,               36.76909,  45.40215,        36.77007,       45.40139,     75.99545,     +65.11176,      75.99716,      +65.11077,  3687612.42, -1064289.24,  5200918.09,      53.754633,       -0.872275,   99486.66,  138370.83,   14239.27,            14526.61,  -317.45,  58379.28,           59417.40,      0.96,      2.29,           3.70,  +0.61,  -0.10
  7,     UK000Z,       0,  0.280408, 2459439.564056855626,  76.67573,  65.19247,               36.45900,  45.20052,        36.45209,       45.20591,     76.67573,     +65.19247,      76.67205,      +65.19944,  3686670.83, -1065291.30,  5198815.66,      53.748105,       -0.890716,   97420.48,  135955.62,   16751.43,            17038.76,  -232.35,  62684.73,           59465.72,     -6.67,    -15.88,          26.14,  +0.58,  -0.09
  8,     UK000Z,       0,  0.320484, 2459439.564057319425,  77.21071,  65.22858,               36.24781,  45.02903,        36.21098,       45.05762,     77.21071,     +65.22858,      77.18706,      +65.26580,  3685978.37, -1066028.23,  5197269.51,      53.743300,       -0.904325,   95901.14,  134180.58,   18598.90,            18886.24,  -811.92,  46099.25,           58596.66,    -34.94,    -83.53,         139.19,  +2.01,  +1.37
  9,     UK000Z,       1,  0.360600, 2459439.564057783689,  77.86611,  65.24014,               36.02720,  44.80296,        35.92665,       44.88026,     77.86611,     +65.24014,      77.80285,      +65.34175,  3685177.87, -1066880.13,  5195482.11,      53.737740,       -0.920036,   94144.95,  132131.98,   20734.63,            21021.96, -1105.66,  53238.84,           57861.54,    -92.76,   -224.06,         378.56,  +6.11,  +5.50
  0,     UK0026,       1,  0.031270, 2459439.564053992741, 246.35855,  69.94597,              330.73941,  46.04900,       330.68376,       46.08859,    246.35855,     +69.94597,     246.51547,      +69.93311,  3692039.32, -1059578.06,  5210802.71,      53.785233,       -0.785580,  109204.87,  150415.50,       0.00,             2715.67,   532.65,      0.00,           55954.77,   -141.77,    -31.19,         199.06,  +5.13,  +4.24
  1,     UK0026,       0,  0.071414, 2459439.564054457471, 246.08778,  69.35554,              330.08482,  45.66219,       330.07115,       45.67184,    246.08778,     +69.35554,     246.12559,      +69.35246,  3691309.80, -1060354.42,  5209173.80,      53.780201,       -0.799882,  107602.93,  149241.44,    1946.35,             4662.02,    47.84,  48484.32,           55954.77,    -34.54,     -7.57,          48.87,  +1.16,  +0.29
  2,     UK0026,       0,  0.111650, 2459439.564054923132, 245.58947,  68.63537,              329.35132,  45.12811,       329.32199,       45.14862,    245.58947,     +68.63537,     245.66795,      +68.62898,  3690416.81, -1061304.76,  5207179.88,      53.774036,       -0.817358,  105642.27,  147825.78,    4328.85,             7044.52,    -6.40,  59213.02,           55954.77,    -73.41,    -16.11,         104.87,  +0.58,  -0.27
  3,     UK0026,       0,  0.151870, 2459439.564055388793, 245.19307,  67.89581,              328.58971,  44.60168,       328.57477,       44.61204,    245.19307,     +67.89581,     245.23227,      +67.89265,  3689526.47, -1062252.28,  5205191.88,      53.767882,       -0.834787,  103687.70,  146439.46,    6704.27,             9419.94,   -66.75,  59060.75,           55954.77,    -37.07,     -8.12,          53.45,  +0.40,  -0.43
  4,     UK0026,       0,  0.192114, 2459439.564055854455, 244.77324,  67.09240,              327.78423,  44.01936,       327.77836,       44.02340,    244.77324,     +67.09240,     244.78874,      +67.09120,  3688577.12, -1063262.59,  5203072.12,      53.761315,       -0.853367,  101603.88,  144989.44,    9237.13,            11952.80,    28.89,  62937.54,           57771.93,    -14.44,     -3.16,          21.03,  +0.28,  -0.53
  5,     UK0026,       0,  0.232334, 2459439.564056319650, 244.42911,  66.35843,              327.05815,  43.48820,       327.06643,       43.48256,    244.42911,     +66.35843,     244.40995,      +66.36008,  3687728.84, -1064165.35,  5201178.03,      53.755440,       -0.869991,   99742.15,  143719.80,   11500.34,            14216.01,  -143.67,  56270.82,           58076.24,     20.19,      4.41,          29.66,  +0.42,  -0.37
  6,     UK0026,       0,  0.272558, 2459439.564056785312, 244.06688,  65.72184,              326.46566,  42.99768,       326.45360,       43.00584,    244.06688,     +65.72184,     244.09669,      +65.71950,  3686999.07, -1064941.98,  5199548.57,      53.750382,       -0.884320,   98140.70,  142648.00,   13447.36,            16163.03,  -632.66,  48404.38,           57148.44,    -29.23,     -6.40,          43.27,  +0.94,  +0.17

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.