Orbital Analysis for matched events on 20210816_021146.826_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 53.81° Bg 33.33° Vg 60.98km/s
mass 0.02980g, abs. mag -1.2
Path Details
------------
start 1.28° 51.93° 105.31km
end   1.21° 51.92° 94.38km

Orbit Details
-------------
Semimajor axis 5.36A.U., eccentricity 0.81, inclination 122.74°, Period 12.42Y, LA Sun 143.16°, last Perihelion 2021-08-15

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: 2459442.591514201369
Time: 2021-08-16 02:11:46.834602 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002F
 Convergence angle = 21.61071 deg
 R.A. =  36.90088  Dec = +51.94368 deg
Intersection 2 - Stations: UK002C and UK0032
 Convergence angle = 89.00827 deg
 R.A. =  39.87768  Dec = +51.41906 deg
Intersection 3 - Stations: UK002F and UK0032
 Convergence angle = 67.41037 deg
 R.A. =  39.54399  Dec = +50.68313 deg

Best intersection: Stations UK002C and UK0032 with Qconv = 89.01 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4005590.61 +/- 46.00 m
 Y =    -75014.61 +/- 42.76 m
 Z =   5080765.10 +/- 34.57 m
 Vx =    30452.97 +/- 376.46 m/s
 Vy =    24749.14 +/- 361.20 m/s
 Vz =    47977.97 +/- 446.63 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.373280e+03, +1.523093e+03, +5.669332e+02, +9.158761e+03, +2.693199e+03, -7.463684e+03
+1.523093e+03, +2.025892e+03, -2.166080e+02, +9.122228e+03, +1.081596e+04, -4.032000e+03
+5.669332e+02, -2.166080e+02, +1.265893e+03, -3.075787e+03, -6.375750e+03, -6.114756e+02
+9.158761e+03, +9.122228e+03, -3.075787e+03, +8.479630e+04, +6.675641e+04, -1.945047e+04
+2.693199e+03, +1.081596e+04, -6.375750e+03, +6.675641e+04, +1.212404e+05, +1.959913e+04
-7.463684e+03, -4.032000e+03, -6.114756e+02, -1.945047e+04, +1.959913e+04, +5.788252e+04

Timing offsets (from input data):
    UK002C: 0.000162 s
    UK002F: 0.000023 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 02:11:46.834602 UTC
  Lon     = ++1.284788 +/- 0.0006 deg
  Lat     = +51.927389 +/- 0.0003 deg
  Lat geo = +51.743458 +/- 0.0003 deg
  Ht      =  105311.65 +/- 45.29 m

  JD dynamic   = 2459442.592315030284 
  LST apparent = 358.9271199993 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  39.10077 +/- 0.2960 deg
  Dec       = +50.71996 +/- 0.3069 deg
  Azimuth   =  76.70561 +/- 0.6992 deg
  Elevation = +65.18620 +/- 0.2063 deg
  Vavg      =  60.29904 +/- 0.2601 km/s
  Vinit     =  61.98217 +/- 0.3094 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  39.42513 +/- 0.2960 deg
  Dec       = +50.58492 +/- 0.3069 deg
  Azimuth   =  76.85198 +/- 0.6992 deg
  Elevation = +64.94804 +/- 0.2063 deg
  Vavg      =  60.41893 +/- 0.2601 km/s
  Vinit     =  62.10206 +/- 0.3094 km/s
Radiant (geocentric, J2000):
  R.A.   =  39.03947 +/- 0.2953 deg
  Dec    = +50.56220 +/- 0.3091 deg
  Vg     =  60.98018 +/- 0.3145 km/s
  Vinf   =  61.98217 +/- 0.3094 km/s
  Zc     =  24.85670 +/- 0.2055 deg
  Zg     =  25.06248 +/- 0.2056 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  53.80580 +/- 0.2353 deg
  Bg     = +33.32924 +/- 0.3022 deg
  Vh     =  39.83267 +/- 0.2391 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  53.80492 +/- 0.5607 deg
  Bh     = +57.26266 +/- 0.5467 deg
  Vh_x   = -12.72078 +/- 0.2719 km/s
  Vh_y   = -17.38387 +/- 0.3488 km/s
  Vh_z   = -33.50559 +/- 0.2207 km/s
Orbit:
  La Sun = 143.158157 +/- 0.0000 deg
  a      =   5.362154 +/- 0.9569 AU
  e      =   0.811156 +/- 0.0219
  i      = 122.735681 +/- 0.5467 deg
  peri   = 179.223092 +/- 0.6334 deg
  node   = 143.157571 +/- 0.0000 deg
  Pi     = 322.380664 +/- 0.6334 deg
  q      =   1.012613 +/- 0.0002 AU
  f      =   0.773063 +/- 0.6334 deg
  M      =   0.047142 +/- 0.0350 deg
  Q      =   9.711696 +/- 1.9140 AU
  n      =   0.079377 +/- 0.0126 deg/day
  T      =  12.416798 +/- 3.7634 years
  Last perihelion JD = 2459441.998419 (2021-08-15 11:57:43.421179) +/- 0.4788 days
  Tj     =   0.328522 +/- 0.1205
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.678783e-04, -2.590929e-06, -4.948199e-03, -6.192150e-09, -1.194243e-04, +7.994115e-05
q   , -2.590929e-06, +3.695965e-08, +9.290782e-05, -7.336337e-12, +2.152748e-06, +8.864031e-08
Tp  , -4.948199e-03, +9.290782e-05, +2.524317e-01, -7.702601e-08, +5.815091e-03, +9.728369e-04
node, -6.192150e-09, -7.336337e-12, -7.702601e-08, +6.169280e-13, -1.667803e-09, -7.927671e-09
peri, -1.194243e-04, +2.152748e-06, +5.815091e-03, -1.667803e-09, +1.340401e-04, +2.104106e-05
i   , +7.994115e-05, +8.864031e-08, +9.728369e-04, -7.927671e-09, +2.104106e-05, +1.018778e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 158.672622

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 2.235e-06 s
  Stddev    = 1.50e-03 s

Begin point on the trajectory:
  Lon =     1.284808 +/- 0.0007 deg
  Lat =    51.927392 +/- 0.0003 deg
  Ht  = 105314.78 +/- 28.72 m
End point on the trajectory:
  Lon =     1.213492 +/- 0.0005 deg
  Lat =    51.917070 +/- 0.0002 deg
  Ht  = 94377.65 +/- 19.63 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
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   104340.54,    95148.15,          0.016453,     40.94,     57.61,              39.02, 0.3964,    True,    True, {"ff_name": "FF_UK002C_20210816_021140_062_0548608.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105042.56,    94377.65,          0.024434,     24.46,     82.45,              35.14, 0.3314,    True,    True, {"ff_name": "FF_UK002F_20210816_021146_790_0545280.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   105314.78,    94402.47,          0.009076,     23.86,     15.37,              48.97, 0.5691,    True,    True, {"ff_name": "FF_UK0032_20210816_021140_496_0549888.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,     UK002C,       0,  0.014517, 2459442.591514401603,  83.64356,  29.48539,               72.07699,  23.90662,        72.10947,       23.90586,     83.64356,     +29.48539,      83.61923,      +29.46456,  4005064.95,   -75441.81,  5079936.93,      51.926476,       +1.278497,  104340.54,  247428.96,       0.00,             1069.89,    -0.70,      0.00,           63948.50,   -104.53,     74.32,         106.92,  +3.15,  +1.18
  1,     UK002C,       0,  0.054797, 2459442.591514867730,  83.89632,  29.23946,               72.08414,  23.57652,        72.09960,       23.57617,     83.89632,     +29.23946,      83.88487,      +29.22954,  4003964.22,   -76336.37,  5078202.76,      51.924561,       +1.265236,  102307.13,  245689.27,    2240.36,             3310.25,  -256.98,  55619.64,           63948.50,    -49.56,     35.20,          51.03,  +2.38,  +0.43
  2,     UK002C,       0,  0.095157, 2459442.591515334789,  84.23542,  28.93445,               72.07338,  23.15138,        72.08717,       23.15106,     84.23542,     +28.93445,      84.22537,      +28.92560,  4002568.50,   -77470.67,  5076003.84,      51.922130,       +1.248456,   99728.97,  243497.99,    5081.11,             6151.00,    82.17,  70385.30,           63948.50,    -43.95,     31.22,          45.67,  +1.75,  -0.18
  3,     UK002C,       0,  0.135489, 2459442.591515801847,  84.53287,  28.64263,               72.08017,  22.76013,        72.07573,       22.76023,     84.53287,     +28.64263,      84.53673,      +28.64548,  4001306.74,   -78496.11,  5074015.96,      51.919929,       +1.233260,   97398.41,  241527.76,    7649.23,             8719.13,   150.43,  63674.61,           63948.50,     14.09,    -10.00,          14.75,  +1.71,  -0.20
  4,     UK002C,       0,  0.175813, 2459442.591516268440,  84.83204,  28.36330,               72.07495,  22.37656,        72.06454,       22.37680,     84.83204,     +28.36330,      84.84061,      +28.36998,  4000088.36,   -79486.28,  5072096.44,      51.917800,       +1.218572,   95148.15,  239635.79,   10129.04,            11198.93,   130.86,  61496.98,           63645.40,     32.86,    -23.31,          34.68,  +1.70,  -0.20
  0,     UK002F,       0,  0.001327, 2459442.591514231171,  68.93660,  24.31308,               87.38329,  29.48116,        87.40631,       29.48443,     68.93660,     +24.31308,      68.91792,      +24.30194,  4005444.95,   -75132.98,  5080535.62,      51.927136,       +1.283077,  105042.56,  208118.25,       0.00,              296.46,    43.43,      0.00,           59947.08,    -70.67,     21.04,          73.08,  +2.52,  +0.93
  1,     UK002F,       0,  0.041635, 2459442.591514697298,  69.14861,  23.94977,               87.50122,  29.08259,        87.48228,       29.07989,     69.14861,     +23.94977,      69.16409,      +23.95895,  4004177.23,   -76163.26,  5078538.35,      51.924932,       +1.267832,  102700.62,  205999.75,    2580.24,             2876.70,   125.29,  64013.12,           59947.08,     57.83,    -17.17,          60.40,  +2.67,  +1.10
  2,     UK002F,       0,  0.081911, 2459442.591515163425,  69.35890,  23.65586,               87.56518,  28.73580,        87.54694,       28.73320,     69.35890,     +23.65586,      69.37399,      +23.66470,  4003110.40,   -77030.27,  5076857.59,      51.923075,       +1.254969,  100729.93,  204223.67,    4751.60,             5048.06,  -199.74,  53911.94,           59947.08,     55.35,    -16.44,          58.32,  +1.53,  -0.02
  3,     UK002F,       0,  0.122243, 2459442.591515630484,  69.61305,  23.30006,               87.64108,  28.31569,        87.62462,       28.31335,     69.61305,     +23.30006,      69.62690,      +23.30805,  4001843.82,   -78059.62,  5074862.12,      51.920867,       +1.239719,   98390.40,  202127.09,    7329.53,             7625.99,  -121.68,  63917.68,           59947.08,     49.65,    -14.75,          52.86,  +0.88,  -0.65
  4,     UK002F,       0,  0.162611, 2459442.591516097542,  69.87074,  22.87365,               87.76578,  27.84039,        87.71273,       27.83280,     69.87074,     +22.87365,      69.91469,      +22.89941,  4000426.32,   -79211.62,  5072628.88,      51.918391,       +1.222662,   95772.32,  199795.42,   10214.61,            10511.08,   261.31,  71469.67,           62451.59,    158.87,    -47.08,         171.06,  +1.29,  -0.21
  5,     UK002F,       0,  0.202835, 2459442.591516563203,  70.05752,  22.67148,               87.77394,  27.57491,        87.76018,       27.57295,     70.05752,     +22.67148,      70.06955,      +22.67817,  3999671.18,   -79825.32,  5071439.18,      51.917070,       +1.213492,   94377.65,  198554.48,   11751.58,            12048.04,  -694.89,  38210.15,           59711.53,     41.02,    -12.19,          44.45,  +4.26,  +2.77
  0,     UK0032,       0,  0.000000, 2459442.591514289379,  27.81626,   3.54251,              142.38754,  34.65828,       142.37487,       34.65197,     27.81626,      +3.54251,      27.82826,       +3.54048,  4005592.30,   -75013.23,  5080767.77,      51.927392,       +1.284808,  105314.78,  182163.17,       0.00,                3.45,  -167.36,      0.00,           63073.54,     20.98,     32.56,          43.86,  +2.48,  +1.18
  1,     UK0032,       0,  0.040256, 2459442.591514755506,  27.72744,   2.91659,              142.76545,  34.10840,       142.77333,       34.11231,     27.72744,      +2.91659,      27.72005,       +2.91785,  4004280.42,   -76079.40,  5078700.93,      51.925112,       +1.269039,  102891.25,  180386.11,    2670.13,             2666.68,     0.72,  66328.70,           63073.54,    -12.98,    -20.13,          27.39,  +1.85,  +0.57
  2,     UK0032,       0,  0.080472, 2459442.591515220702,  27.60576,   2.32891,              143.15873,  33.60493,       143.14700,       33.59912,     27.60576,      +2.32891,      27.61728,       +2.32702,  4003058.83,   -77072.18,  5076776.35,      51.922985,       +1.254334,  100634.68,  178751.09,    5156.47,             5153.02,    -5.62,  61824.69,           63073.54,     19.21,     29.83,          40.94,  +1.15,  -0.11
  3,     UK0032,       0,  0.120724, 2459442.591515686829,  27.52207,   1.72659,              143.51149,  33.07302,       143.52124,       33.07784,     27.52207,      +1.72659,      27.51318,       +1.72816,  4001842.94,   -78060.33,  5074860.74,      51.920865,       +1.239688,   98388.79,  177143.45,    7631.22,             7627.77,   -25.77,  61481.36,           63073.54,    -15.89,    -24.65,          34.15,  +0.72,  -0.52
  4,     UK0032,       0,  0.160968, 2459442.591516152490,  27.40896,   1.09800,              143.90375,  32.52603,       143.90958,       32.52890,     27.40896,      +1.09800,      27.40397,       +1.09894,  4000588.61,   -79079.73,  5072884.57,      51.918675,       +1.224576,   96072.05,  175506.44,   10184.21,            10180.76,    32.81,  63437.96,           62945.54,     -9.46,    -14.67,          20.51,  +0.99,  -0.23
  5,     UK0032,       0,  0.201136, 2459442.591516617220,  27.31641,   0.63919,              144.19811,  32.12954,       144.19198,       32.12652,     27.31641,      +0.63919,      27.32314,       +0.63819,  3999684.62,   -79814.40,  5071460.36,      51.917094,       +1.213632,   94402.47,  174338.82,   12024.13,            12020.68,  -616.97,  45805.62,           60465.02,      9.90,     15.37,          21.63,  +3.59,  +2.38

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.