Orbital Analysis for matched events on 20210810_020722.266_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.44° Bg 36.29° Vg 58.14km/s
mass 0.01492g, abs. mag 0.5
Path Details
------------
start -2.36° 51.76° 107.28km
end   -2.48° 51.71° 93.43km

Orbit Details
-------------
Semimajor axis 4.79A.U., eccentricity 0.81, inclination 115.03°, Period 10.49Y, LA Sun 137.39°, last Perihelion 2021-07-14

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: 2459436.588452160358
Time: 2021-08-10 02:07:22.268546 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK000S
 Convergence angle = 54.27183 deg
 R.A. =  47.16585  Dec = +55.53120 deg

Best intersection: Stations UK0006 and UK000S with Qconv = 54.27 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3938690.48 +/- 13.68 m
 Y =   -818356.62 +/- 20.47 m
 Z =   5070282.32 +/- 39.14 m
 Vx =    22758.30 +/- 108.77 m/s
 Vy =    24349.34 +/- 225.28 m/s
 Vz =    48910.58 +/- 178.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.992856e+02, -2.122270e+02, +3.354073e+02, +9.345579e+02, -1.629606e+03, +1.894297e+03
-2.122270e+02, +4.458320e+02, -4.417151e+02, -1.522194e+03, +2.198471e+03, -2.944023e+03
+3.354073e+02, -4.417151e+02, +1.631104e+03, +7.763494e+02, -4.419884e+03, +5.742510e+03
+9.345579e+02, -1.522194e+03, +7.763494e+02, +8.366265e+03, -8.044364e+03, +9.487709e+03
-1.629606e+03, +2.198471e+03, -4.419884e+03, -8.044364e+03, +2.078458e+04, -2.234195e+04
+1.894297e+03, -2.944023e+03, +5.742510e+03, +9.487709e+03, -2.234195e+04, +3.058908e+04

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK000S: -0.000231 s
    UK001Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:07:22.268546 UTC
  Lon     = +-2.360723 +/- 0.0003 deg
  Lat     = +51.755332 +/- 0.0002 deg
  Lat geo = +51.571192 +/- 0.0002 deg
  Ht      =  107268.51 +/- 37.87 m

  JD dynamic   = 2459436.589252923150 
  LST apparent = 348.2624407883 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.93441 +/- 0.2483 deg
  Dec       = +55.72832 +/- 0.1438 deg
  Azimuth   =  59.65439 +/- 0.1892 deg
  Elevation = +56.12502 +/- 0.1703 deg
  Vavg      =  57.65593 +/- 0.0913 km/s
  Vinit     =  59.18678 +/- 0.1149 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.19465 +/- 0.2483 deg
  Dec       = +55.52806 +/- 0.1438 deg
  Azimuth   =  59.90982 +/- 0.1892 deg
  Elevation = +55.92177 +/- 0.1703 deg
  Vavg      =  57.79760 +/- 0.0913 km/s
  Vinit     =  59.32845 +/- 0.1149 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.05574 +/- 0.2504 deg
  Dec    = +55.54798 +/- 0.1458 deg
  Vg     =  58.13697 +/- 0.1170 km/s
  Vinf   =  59.18678 +/- 0.1149 km/s
  Zc     =  33.96834 +/- 0.1699 deg
  Zg     =  34.28152 +/- 0.1726 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.43511 +/- 0.1227 deg
  Bg     = +36.28845 +/- 0.1774 deg
  Vh     =  39.56177 +/- 0.1616 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  81.98834 +/- 0.2741 deg
  Bh     = +60.43156 +/- 0.2113 deg
  Vh_x   =  -2.72091 +/- 0.0890 km/s
  Vh_y   = -19.33172 +/- 0.0735 km/s
  Vh_z   = -34.40952 +/- 0.2073 km/s
Orbit:
  La Sun = 137.393999 +/- 0.0000 deg
  a      =   4.792973 +/- 0.3905 AU
  e      =   0.807097 +/- 0.0129
  i      = 115.034331 +/- 0.1532 deg
  peri   = 143.422207 +/- 0.7526 deg
  node   = 137.393749 +/- 0.0000 deg
  Pi     = 280.815956 +/- 0.7526 deg
  q      =   0.924578 +/- 0.0028 AU
  f      =  36.574006 +/- 0.7526 deg
  M      =   2.454022 +/- 0.2910 deg
  Q      =   8.661368 +/- 0.7785 AU
  n      =   0.093928 +/- 0.0095 deg/day
  T      =  10.493203 +/- 1.3455 years
  Last perihelion JD = 2459410.462713 (2021-07-14 23:06:18.406169) +/- 0.5602 days
  Tj     =   0.606279 +/- 0.0755
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.765150e-04, +3.512604e-05, +7.375953e-03, +2.090043e-09, +1.692390e-04, -2.869376e-05
q   , +3.512604e-05, +8.566551e-06, +1.668546e-03, +4.257284e-10, +3.947645e-05, -5.844829e-06
Tp  , +7.375953e-03, +1.668546e-03, +3.337899e-01, +8.862223e-08, +7.810387e-03, -1.216677e-03
node, +2.090043e-09, +4.257284e-10, +8.862223e-08, +4.049979e-14, +2.040528e-09, -5.548017e-10
peri, +1.692390e-04, +3.947645e-05, +7.810387e-03, +2.040528e-09, +1.835900e-04, -2.801420e-05
i   , -2.869376e-05, -5.844829e-06, -1.216677e-03, -5.548017e-10, -2.801420e-05, +7.600227e-06

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: UK0006
  Avg. res. = 4.108e-06 s
  Stddev    = 2.03e-03 s

Begin point on the trajectory:
  Lon =    -2.360647 +/- 0.0002 deg
  Lat =    51.755360 +/- 0.0001 deg
  Ht  = 107277.76 +/- 32.70 m
End point on the trajectory:
  Lon =    -2.476252 +/- 0.0003 deg
  Lat =    51.713697 +/- 0.0001 deg
  Ht  = 93434.61 +/- 21.81 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   106824.64,    93434.61,          0.007726,     11.73,     12.49,              67.68, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20210810_020722_006_0505856.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   107277.76,    93473.53,          0.007460,      4.07,     18.87,              50.26, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_020714_865_0522240.fits"}
    UK001Z,    True,    -2.949729,    50.877448,   82.00,   9.611241,   0.000000,   106448.44,    92796.75,          0.045288,       nan,       nan,              25.14, 0.0000,    True,    True, {"ff_name": "FF_UK001Z_20210810_020713_479_0518656.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,     UK0006,       0,  0.000000, 2459436.588452160358, 305.22997,  35.06681,              259.27143,  54.57824,       259.27952,       54.57732,    305.22997,     +35.06681,     305.22528,      +35.06966,  3938484.91,  -818576.56,  5069840.53,      51.754001,       -2.364378,  106824.64,  130453.57,       0.00,              534.61,   643.43,      0.00,           53572.31,      7.94,     -7.46,          17.23,  +3.22,  +2.64
  1,     UK0006,       0,  0.040608, 2459436.588452630211, 304.72009,  34.50203,              259.04149,  53.88811,       259.05086,       53.88704,    304.72009,     +34.50203,     304.71476,      +34.50536,  3937826.05,  -819281.48,  5068424.56,      51.749734,       -2.376289,  105402.10,  129816.68,    1713.48,             2248.09,   -46.55,  42195.51,           53572.31,      9.29,     -8.73,          20.25,  +0.67,  +0.10
  2,     UK0006,       0,  0.081548, 2459436.588453104254, 303.94997,  33.63129,              258.70393,  52.82766,       258.71259,       52.82666,    303.94997,     +33.63129,     303.94513,      +33.63442,  3936824.89,  -820352.63,  5066272.93,      51.743244,       -2.394307,  103240.75,  128883.22,    4317.16,             4851.78,   134.03,  63597.70,           53572.31,      8.73,     -8.20,          19.17,  -0.41,  -0.96
  3,     UK0006,       0,  0.122324, 2459436.588453575969, 303.33650,  32.91392,              258.43325,  51.96139,       258.44883,       51.95961,    303.33650,     +32.91392,     303.32755,      +32.91959,  3936018.03,  -821215.91,  5064538.87,      51.738008,       -2.408866,  101499.07,  128165.97,    6415.55,             6950.17,  -180.98,  51461.37,           53572.31,     15.92,    -14.95,          35.14,  -0.46,  -1.00
  4,     UK0006,       0,  0.163300, 2459436.588454050478, 302.56694,  32.02506,              258.13843,  50.87613,       258.13294,       50.87676,    302.56694,     +32.02506,     302.57101,      +32.02303,  3935022.43,  -822281.10,  5062399.21,      51.731541,       -2.426797,   99350.29,  127321.64,    9004.76,             9539.37,   -17.01,  63188.38,           55627.62,     -5.70,      5.35,          12.67,  -0.20,  -0.72
  5,     UK0006,       0,  0.204300, 2459436.588454524986, 301.82889,  31.10295,              257.81001,  49.77987,       257.82727,       49.77790,    301.82889,     +31.10295,     301.81888,      +31.10940,  3934025.81,  -823347.40,  5060257.32,      51.725060,       -2.444754,   97199.59,  126524.09,   11596.66,            12131.27,   148.23,  63217.03,           57302.26,     18.22,    -17.11,          40.76,  +0.53,  +0.02
  6,     UK0006,       0,  0.245268, 2459436.588454999030, 301.10254,  30.22424,              257.54872,  48.71527,       257.54503,       48.71570,    301.10254,     +30.22424,     301.10593,      +30.22285,  3933074.69,  -824365.01,  5058213.26,      51.718869,       -2.461904,   95147.38,  125808.60,   14070.19,            14604.80,   197.00,  60377.12,           58229.23,     -3.96,      3.71,           8.89,  +0.33,  -0.17
  7,     UK0006,       0,  0.286092, 2459436.588455471676, 300.52461,  29.46510,              257.29833,  47.82095,       257.31647,       47.81888,    300.52461,     +29.46510,     300.51405,      +29.47203,  3932280.80,  -825214.40,  5056507.08,      51.713697,       -2.476252,   93434.61,  125247.06,   16134.84,            16669.45,  -154.59,  50574.45,           57977.77,     19.69,    -18.49,          44.49,  +1.48,  +0.99
  0,     UK000S,       0,  0.001647, 2459436.588452182245, 242.73581,  73.82408,              338.11236,  44.11322,       338.10234,       44.12070,    242.73581,     +73.82408,     242.77230,      +73.82200,  3938694.77,  -818352.04,  5070291.53,      51.755360,       -2.360647,  107277.76,  152733.49,       0.00,               11.14,    22.51,      0.00,           59754.97,    -27.03,     -5.83,          37.34,  +2.53,  +1.61
  1,     UK000S,       0,  0.041955, 2459436.588452648371, 242.27824,  73.15402,              337.42891,  43.64079,       337.42080,       43.64678,    242.27824,     +73.15402,     242.30681,      +73.15240,  3937795.53,  -819314.13,  5068358.97,      51.749536,       -2.376840,  105336.21,  151244.34,    2338.60,             2327.46,   -46.88,  58018.31,           59754.97,    -21.64,     -4.67,          30.19,  +1.09,  +0.19
  2,     UK000S,       0,  0.082279, 2459436.588453115430, 241.83923,  72.44129,              336.71244,  43.13705,       336.70926,       43.13938,    241.83923,     +72.44129,     241.85029,      +72.44068,  3936859.80,  -820315.28,  5066347.95,      51.743470,       -2.393689,  103316.10,  149717.85,    4772.13,             4760.99,     0.01,  60349.41,           59754.97,     -8.40,     -1.81,          11.84,  +0.66,  -0.22
  3,     UK000S,       0,  0.122607, 2459436.588453582022, 241.43794,  71.70793,              335.98467,  42.61874,       335.99113,       42.61404,    241.43794,     +71.70793,     241.41750,      +71.70912,  3935918.57,  -821322.32,  5064325.12,      51.737362,       -2.410642,  101284.40,  148206.99,    7219.96,             7208.82,    60.95,  60698.01,           59754.97,     16.90,      3.64,          24.06,  +0.37,  -0.48
  4,     UK000S,       0,  0.162939, 2459436.588454049081, 241.03880,  70.98488,              335.28823,  42.09506,       335.29382,       42.09103,    241.03880,     +70.98488,     241.02199,      +70.98588,  3935007.65,  -822296.92,  5062367.43,      51.731445,       -2.427061,   99318.38,  146769.15,    9588.97,             9577.83,    42.84,  58737.75,           59665.59,     14.49,      3.12,          20.83,  +0.34,  -0.49
  5,     UK000S,       0,  0.203275, 2459436.588454515673, 240.68207,  70.25352,              334.59135,  41.56659,       334.60181,       41.55910,    240.68207,     +70.25352,     240.65131,      +70.25531,  3934106.14,  -823261.45,  5060429.98,      51.725583,       -2.443316,   97372.93,  145370.39,   11933.48,            11922.34,    -0.01,  58124.57,           59419.84,     26.86,      5.78,          38.99,  +0.30,  -0.51
  6,     UK000S,       0,  0.243647, 2459436.588454983197, 240.27758,  69.46066,              333.86233,  40.97684,       333.86290,       40.97643,    240.27758,     +69.46066,     240.27693,      +69.46076,  3933145.45,  -824289.31,  5058365.32,      51.719330,       -2.460635,   95300.04,  143906.82,   14431.93,            14420.79,   108.95,  61885.61,           59596.60,      1.46,      0.31,           2.14,  +0.26,  -0.53
  7,     UK000S,       0,  0.283983, 2459436.588455449790, 239.94166,  68.74724,              333.21724,  40.44372,       333.20973,       40.44902,    239.94166,     +68.74724,     239.96408,      +68.74604,  3932298.84,  -825195.10,  5056545.85,      51.713814,       -2.475922,   93473.53,  142641.51,   16633.68,            16622.54,   -76.66,  54585.19,           59252.53,    -18.96,     -4.08,          28.05,  +0.48,  -0.29
  0,     UK001Z,       1,  0.018856, 2459436.588452378754,  91.98444,  73.68386,               22.43091,  44.48610,        22.39622,       44.51730,     91.98444,     +73.68386,      91.93458,      +73.72113,  3938310.68,  -818762.98,  5069466.08,      51.752873,       -2.367562,  106448.44,  150441.33,       0.00,              987.74,   -19.44,      0.00,           59646.52,    -73.82,    -74.04,         143.35,  +2.22,  +1.33
  1,     UK001Z,       1,  0.059084, 2459436.588452844415,  93.22335,  73.81916,               22.01630,  44.26106,        21.98549,       44.28862,     93.22335,     +73.81916,      93.18141,      +73.85245,  3937446.22,  -819687.87,  5067608.24,      51.747272,       -2.383137,  104582.06,  148406.95,    2248.17,             3235.91,  -152.24,  55885.69,           59646.52,    -64.58,    -64.72,         127.07,  +1.54,  +0.68
  2,     UK001Z,       1,  0.099364, 2459436.588453310542,  94.72479,  73.95122,               21.54942,  43.98040,        21.50743,       44.01766,     94.72479,     +73.95122,      94.67159,      +73.99684,  3936459.07,  -820744.03,  5065486.74,      51.740870,       -2.400905,  102451.08,  146092.15,    4815.41,             5803.15,    30.96,  63734.84,           59646.52,    -86.35,    -86.60,         172.67,  +1.34,  +0.52
  3,     UK001Z,       1,  0.139608, 2459436.588453776203,  96.12780,  74.08809,               21.09518,  43.73415,        21.06327,       43.76230,     96.12780,     +74.08809,      96.09031,      +74.12295,  3935562.35,  -821703.44,  5063559.55,      51.735049,       -2.417066,  100515.54,  143996.69,    7147.50,             8135.24,   -18.86,  57948.75,           59646.52,    -64.61,    -64.71,         130.98,  +1.26,  +0.47
  4,     UK001Z,       1,  0.179888, 2459436.588454242330,  97.68479,  74.20824,               20.62481,  43.45264,        20.58829,       43.48464,     97.68479,     +74.20824,      97.64559,      +74.24835,  3934622.61,  -822708.88,  5061539.93,      51.728942,       -2.434001,   98487.44,  141808.99,    9591.45,            10579.19,    41.04,  60673.97,           59818.72,    -72.65,    -72.78,         149.58,  +1.05,  +0.29
  5,     UK001Z,       1,  0.220172, 2459436.588454708457,  99.30320,  74.31678,               20.15058,  43.16047,        20.10680,       43.19856,     99.30320,     +74.31678,      99.26086,      +74.36509,  3933690.21,  -823706.47,  5059536.08,      51.722877,       -2.450810,   96475.43,  139646.93,   12016.31,            13004.05,    81.63,  60194.28,           59921.59,    -85.57,    -85.74,         178.92,  +1.06,  +0.33
  6,     UK001Z,       1,  0.260472, 2459436.588455175050, 101.04917,  74.43077,               19.63804,  42.85440,        19.59671,       42.89011,    101.04917,     +74.43077,     101.01418,      +74.47659,  3932723.23,  -824741.04,  5057457.92,      51.716580,       -2.468243,   94389.10,  137414.28,   14531.10,            15518.84,   211.18,  62401.65,           60224.30,    -79.36,    -79.47,         168.58,  +1.08,  +0.39
  7,     UK001Z,       1,  0.300716, 2459436.588455640711, 102.44921,  74.49669,               19.25093,  42.60122,        19.19815,       42.64655,    102.44921,     +74.49669,     102.40948,      +74.55537,  3931985.12,  -825530.75,  5055871.63,      51.711769,       -2.481594,   92796.75,  135716.15,   16450.67,            17438.41,  -251.16,  47698.35,           59307.19,    -99.88,   -100.08,         214.89,  +1.99,  +1.33

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.