Orbital Analysis for matched events on 20210813_010124.885_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.61° Bg 38.87° Vg 58.85km/s
mass 0.02377g, abs. mag -1.4
Path Details
------------
start 1.20° 51.79° 108.50km
end   1.06° 51.72° 92.73km

Orbit Details
-------------
Semimajor axis 14.49A.U., eccentricity 0.93, inclination 112.57°, Period 55.14Y, LA Sun 140.23°, 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: 2459439.542649141047
Time: 2021-08-13 01:01:24.885786 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 39.88921 deg
 R.A. =  46.98399  Dec = +58.49628 deg
Intersection 2 - Stations: UK002F and UK0032
 Convergence angle = 43.33054 deg
 R.A. =  46.94980  Dec = +58.30076 deg
Intersection 3 - Stations: UK002K and UK0032
 Convergence angle = 3.44380 deg
 R.A. =  44.07320  Dec = +56.87952 deg

Best intersection: Stations UK002F and UK0032 with Qconv = 43.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3733876.74 +/- 125.97 m
 Y =  -1490325.36 +/- 20.25 m
 Z =   5073759.79 +/- 50.68 m
 Vx =    21401.97 +/- 665.07 m/s
 Vy =    22829.52 +/- 296.98 m/s
 Vz =    51056.49 +/- 587.82 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.488408e+04, +1.583805e+03, -2.895868e+03, +5.842533e+04, +3.693169e+03, -6.912178e+03
+1.583805e+03, +4.585893e+02, -2.218521e+02, +5.714722e+03, +1.090207e+03, -6.366176e+02
-2.895868e+03, -2.218521e+02, +2.778541e+03, -1.811742e+04, -6.598911e+03, +2.980318e+03
+5.842533e+04, +5.714722e+03, -1.811742e+04, +3.028380e+05, +5.163268e+04, -3.899887e+04
+3.693169e+03, +1.090207e+03, -6.598911e+03, +5.163268e+04, +3.339451e+04, -9.146213e+03
-6.912178e+03, -6.366176e+02, +2.980318e+03, -3.899887e+04, -9.146213e+03, +6.651536e+03

Timing offsets (from input data):
    UK000Z: 0.000000 s
    UK002F: 0.000306 s
    UK002K: 0.000000 s
    UK0032: -0.000146 s

Reference point on the trajectory:
  Time: 2021-08-13 01:01:24.885786 UTC
  Lon     = ++1.195478 +/- 0.0009 deg
  Lat     = +51.791687 +/- 0.0009 deg
  Lat geo = +51.607636 +/- 0.0010 deg
  Ht      =  108459.81 +/- 60.76 m

  JD dynamic   = 2459439.543449881952 
  LST apparent = 338.2412690246 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.84855 +/- 0.7016 deg
  Dec       = +58.49574 +/- 0.4150 deg
  Azimuth   =  52.18785 +/- 0.8110 deg
  Elevation = +51.98430 +/- 0.2200 deg
  Vavg      =  60.93912 +/- 0.3136 km/s
  Vinit     =  59.88319 +/- 0.4286 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.04265 +/- 0.7016 deg
  Dec       = +58.27345 +/- 0.4150 deg
  Azimuth   =  52.46532 +/- 0.8110 deg
  Elevation = +51.80980 +/- 0.2200 deg
  Vavg      =  61.08231 +/- 0.3136 km/s
  Vinit     =  60.02638 +/- 0.4286 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.04620 +/- 0.7135 deg
  Dec    = +58.29132 +/- 0.4150 deg
  Vg     =  58.84599 +/- 0.4360 km/s
  Vinf   =  59.88319 +/- 0.4286 km/s
  Zc     =  38.12877 +/- 0.2216 deg
  Zg     =  38.47472 +/- 0.2263 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.61322 +/- 0.6143 deg
  Bg     = +38.86810 +/- 0.2858 deg
  Vh     =  41.10796 +/- 0.3259 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.02075 +/- 1.8778 deg
  Bh     = +63.93792 +/- 0.3390 deg
  Vh_x   =  -2.50707 +/- 0.6076 km/s
  Vh_y   = -17.88571 +/- 0.2779 km/s
  Vh_z   = -36.92804 +/- 0.2559 km/s
Orbit:
  La Sun = 140.229452 +/- 0.0000 deg
  a      =  14.487575 +/- 8.5655 AU
  e      =   0.933940 +/- 0.0293
  i      = 112.572575 +/- 0.6897 deg
  peri   = 152.271640 +/- 1.3189 deg
  node   = 140.229099 +/- 0.0000 deg
  Pi     = 292.500739 +/- 1.3188 deg
  q      =   0.957049 +/- 0.0052 AU
  f      =  27.724611 +/- 1.3189 deg
  M      =   0.351771 +/- nan deg
  Q      =  28.018101 +/- 17.1337 AU
  n      =   0.017874 +/- 0.0027 deg/day
  T      =  55.143483 +/- 249443812.1819 years
  Last perihelion JD = 2459419.862337 (2021-07-24 08:41:45.896218) +/- 0.6812 days
  Tj     =  -0.098607 +/- 0.1688
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.826064e-05, -1.699357e-05, -2.184661e-03, +2.956733e-09, -6.555521e-05, -4.240407e-05
q   , -1.699357e-05, +2.200214e-05, +3.098048e-03, -2.966274e-09, +8.871866e-05, +4.251209e-05
Tp  , -2.184661e-03, +3.098048e-03, +4.394813e-01, -4.078464e-07, +1.254077e-02, +5.844367e-03
node, +2.956733e-09, -2.966274e-09, -4.078464e-07, +5.471639e-13, -1.181715e-08, -7.827733e-09
peri, -6.555521e-05, +8.871866e-05, +1.254077e-02, -1.181715e-08, +3.584737e-04, +1.693474e-04
i   , -4.240407e-05, +4.251209e-05, +5.844367e-03, -7.827733e-09, +1.693474e-04, +1.119862e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 11.965450
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 3.032e-06 s
  Stddev    = 1.74e-03 s

Begin point on the trajectory:
  Lon =     1.195853 +/- 0.0009 deg
  Lat =    51.791867 +/- 0.0009 deg
  Ht  = 108502.37 +/- 55.22 m
End point on the trajectory:
  Lon =     1.055413 +/- 0.0014 deg
  Lat =    51.724766 +/- 0.0004 deg
  Ht  = 92727.89 +/- 82.87 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
    UK000Z,    True,    -1.740490,    53.069201,  230.00, 113195.371624,   0.018880,   101445.14,    95951.81,          0.072540,       nan,       nan,              61.56, 0.0000,    True,    True, {"ff_name": "FF_UK000Z_20210813_010125_837_0422912.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,  12.851925,   0.000000,   104292.67,    92727.89,          0.011843,     14.71,     37.26,              36.04, 0.3461,    True,    True, {"ff_name": "FF_UK002F_20210813_010116_747_0399360.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   4.020501,   0.000000,   108502.37,    93074.06,          0.011374,     43.01,     23.41,              75.07, 0.9336,    True,    True, {"ff_name": "FF_UK002K_20210813_010123_944_0428288.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,  25.025294,   0.000000,   107735.67,   100027.00,          0.011553,     34.47,     16.22,              66.86, 0.8455,    True,   False, {"ff_name": "FF_UK0032_20210813_010120_154_0434176.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,     UK000Z,       1,  2.109950, 2459439.542673561722,  24.69624,  -2.01425,              125.49611,  21.26931,       125.58369,       21.34293,     24.69624,      -2.01425,      24.59781,       -1.98996,  3730703.19, -1493710.59,  5066188.97,      51.762010,       +1.125063,  101445.14,  265210.15,       0.00,             8879.67, -117797.24,      0.00,           57656.46,   -381.30,   -336.71,         395.62,  +2.62,  +0.50
  1,     UK000Z,       1,  2.150074, 2459439.542674025986,  24.53428,  -2.44321,              125.87210,  20.97404,       125.91116,       21.00683,     24.53428,      -2.44321,      24.49540,       -2.43234,  3729864.39, -1494605.33,  5064187.95,      51.754150,       +1.108606,   99596.66,  264144.79,    2346.96,            11226.63, -117853.03,  58492.75,           57656.46,   -169.27,   -149.84,         176.53,  +1.92,  -0.19
  2,     UK000Z,       1,  2.190258, 2459439.542674491182,  24.45671,  -2.87075,              126.16703,  20.63820,       126.22288,       20.68501,     24.45671,      -2.87075,      24.39736,       -2.85520,  3729068.84, -1495453.94,  5062290.09,      51.746689,       +1.092985,   97843.72,  263149.34,    4572.92,            13452.59, -118033.41,  55394.20,           57656.46,   -241.37,   -213.50,         252.58,  +1.52,  -0.58
  3,     UK000Z,       1,  2.230414, 2459439.542674955912,  24.32103,  -3.32423,              126.52812,  20.30720,       126.56039,       20.33420,     24.32103,      -3.32423,      24.29074,       -3.31523,  3728210.05, -1496370.02,  5060241.36,      51.738628,       +1.076131,   95951.81,  262092.55,    6975.84,            15855.51, -118035.16,  59839.65,           57656.46,   -138.88,   -123.00,         145.99,  +2.72,  +0.63
  0,     UK002F,       0,  0.087440, 2459439.542650150601,  43.61856,  21.72874,               93.10571,  30.47696,        93.11653,       30.48608,     43.61856,     +21.72874,      43.60491,      +21.72938,  3731986.02, -1492342.19,  5069249.29,      51.774018,       +1.158421,  104292.67,  200861.90,       0.00,             5290.28,  -272.29,      0.00,           60365.43,    -42.53,    -16.76,          46.94,  +2.36,  +0.85
  1,     UK002F,       0,  0.127612, 2459439.542650615796,  43.56599,  21.22451,               93.53492,  30.13153,        93.52703,       30.12489,     43.56599,     +21.22451,      43.57673,      +21.22404,  3730938.78, -1493459.28,  5066751.00,      51.764216,       +1.137921,  101985.25,  198514.62,    2930.19,             8220.48,   252.28,  72941.15,           60365.43,     30.71,     12.13,          34.31,  +1.30,  -0.19
  2,     UK002F,       0,  0.167776, 2459439.542651080526,  43.56694,  20.83241,               93.83290,  29.83635,        93.84293,       29.84475,     43.56694,     +20.83241,      43.55472,      +20.83300,  3730144.47, -1494306.57,  5064856.10,      51.756775,       +1.122329,  100235.42,  196742.38,    5152.68,            10442.97,    69.62,  55335.44,           60365.43,    -38.62,    -15.22,          43.52,  +0.74,  -0.73
  3,     UK002F,       0,  0.207908, 2459439.542651545256,  43.52297,  20.44177,               94.16449,  29.56927,        94.15755,       29.56346,     43.52297,     +20.44177,      43.53277,      +20.44136,  3729362.97, -1495140.20,  5062991.76,      51.749448,       +1.106982,   98514.09,  195007.68,    7339.33,            12629.62,  -146.96,  54486.46,           60365.43,     26.51,     10.47,          30.15,  +0.71,  -0.74
  4,     UK002F,       0,  0.248076, 2459439.542652009986,  43.50195,  20.00690,               94.50904,  29.25396,        94.50462,       29.25027,     43.50195,     +20.00690,      43.50866,      +20.00664,  3728511.64, -1496048.32,  5060960.82,      51.741459,       +1.090274,   96639.24,  193129.45,    9721.39,            15011.67,  -170.30,  59302.26,           59397.37,     16.73,      6.61,          19.21,  +0.42,  -1.01
  5,     UK002F,       0,  0.288272, 2459439.542652475182,  43.47770,  19.49114,               94.91450,  28.87854,        94.91327,       28.87752,     43.47770,     +19.49114,      43.48047,      +19.49107,  3727523.24, -1497102.65,  5058602.89,      51.732175,       +1.070900,   94462.95,  190964.72,   12486.95,            17777.23,   188.20,  68801.92,           60465.65,      4.59,      1.81,           5.32,  -0.06,  -1.46
  6,     UK002F,       0,  0.328416, 2459439.542652939912,  43.43300,  19.07280,               95.26177,  28.58861,        95.24375,       28.57366,     43.43300,     +19.07280,      43.45738,      +19.07174,  3726735.10, -1497943.36,  5056722.71,      51.724766,       +1.055413,   92727.89,  189247.87,   14692.18,            19982.46,   -10.52,  54933.00,           60254.49,     66.88,     26.45,          78.38,  +1.86,  +0.47
  0,     UK002K,       0,  0.000000, 2459439.542649141047,   3.37454,  -7.53436,              150.57813,  24.88719,       150.57064,       24.88169,      3.37454,      -7.53436,       3.38272,       -7.53762,  3733896.04, -1490304.76,  5073805.84,      51.791867,       +1.195853,  108502.37,  248486.43,       0.00,               54.02,  -272.36,      0.00,           63994.01,     18.12,     33.27,          31.45,  +2.40,  +0.42
  1,     UK002K,       0,  0.040264, 2459439.542649607174,   3.12315,  -8.10653,              151.02439,  24.41295,       151.00373,       24.39780,      3.12315,      -8.10653,       3.14595,       -8.11555,  3732898.25, -1491369.12,  5071425.50,      51.782547,       +1.176323,  106303.03,  247758.67,    2791.86,             2737.84,     0.33,  69338.87,           63994.01,     49.91,     91.74,          86.95,  +2.35,  +0.38
  2,     UK002K,       0,  0.080520, 2459439.542650072835,   2.93075,  -8.62701,              151.38922,  23.96980,       151.38574,       23.96726,      2.93075,      -8.62701,       2.93490,       -8.62853,  3732017.22, -1492308.91,  5069323.71,      51.774310,       +1.159055,  104361.42,  247140.04,    5257.01,             5202.99,    54.82,  61236.74,           63994.01,      8.39,     15.42,          14.65,  +1.18,  -0.78
  3,     UK002K,       0,  0.120764, 2459439.542650538962,   2.71017,  -9.14979,              151.78084,  23.53127,       151.77367,       23.52605,      2.71017,      -9.14979,       2.71856,       -9.15293,  3731120.82, -1493265.10,  5067185.27,      51.765921,       +1.141484,  102386.30,  246534.51,    7765.15,             7711.13,   153.02,  62323.39,           63994.01,     17.27,     31.72,          30.22,  +0.80,  -1.16
  4,     UK002K,       0,  0.160972, 2459439.542651004158,   2.52199,  -9.59447,              152.11197,  23.15740,       152.10197,       23.15012,      2.52199,      -9.59447,       2.53369,       -9.59887,  3730361.80, -1494074.74,  5065374.57,      51.758811,       +1.126577,  100714.17,  246039.97,    9888.88,             9834.86,  -131.03,  52818.65,           61502.58,     24.07,     44.24,          42.22,  +0.74,  -1.22
  5,     UK002K,       0,  0.201216, 2459439.542651469819,   2.31932, -10.10326,              152.47504,  22.72503,       152.47187,       22.72273,      2.31932,     -10.10326,       2.32367,      -10.10466,  3729504.29, -1494989.46,  5063328.88,      51.750773,       +1.109754,   98825.33,  245502.88,   12288.23,            12234.21,  -141.62,  59620.05,           60521.28,      7.64,     14.03,          13.42,  +0.62,  -1.33
  6,     UK002K,       0,  0.241476, 2459439.542651935946,   2.08367, -10.66114,              152.88351,  22.25331,       152.87785,       22.24920,      2.08367,     -10.66114,       2.09096,      -10.66364,  3728560.53, -1495996.17,  5061077.45,      51.741918,       +1.091251,   96746.90,  244938.16,   14928.90,            14874.88,    88.15,  65590.34,           60714.10,     13.60,     25.00,          23.97,  +0.33,  -1.62
  7,     UK002K,       0,  0.281740, 2459439.542652402073,   1.85992, -11.21652,              153.27557,  21.77939,       153.27655,       21.78009,      1.85992,     -11.21652,       1.86001,      -11.21609,  3727631.68, -1496986.97,  5058861.60,      51.733194,       +1.073034,   94701.71,  244409.00,   17527.83,            17473.81,   275.94,  64547.25,           61114.06,     -2.35,     -4.31,           4.15,  +0.49,  -1.45
  8,     UK002K,       0,  0.321952, 2459439.542652867269,   1.68707, -11.66301,              153.58118,  21.39558,       153.59378,       21.40469,      1.68707,     -11.66301,       1.67437,      -11.65741,  3726892.36, -1497775.61,  5057097.87,      51.726245,       +1.058496,   93074.06,  244005.91,   19596.47,            19542.45,   -63.44,  51443.44,           60656.49,    -30.26,    -55.56,          53.48,  +0.57,  -1.37
  0,     UK0032,       0,  0.012840, 2459439.542649293318,   3.45886,   1.03723,              147.69333,  33.60372,       147.69182,       33.60259,      3.45886,      +1.03723,       3.46048,       +1.03657,  3733548.23, -1490675.78,  5072976.10,      51.788620,       +1.189049,  107735.67,  191126.28,       0.00,              919.17,  -176.11,      0.00,           59718.17,      2.40,      5.11,           6.09,  +2.64,  +1.23
  1,     UK0032,       0,  0.052980, 2459439.542649757583,   3.15177,   0.33197,              148.31086,  33.03327,       148.30566,       33.02942,      3.15177,      +0.33197,       3.15735,       +0.32969,  3732557.27, -1491732.84,  5070612.06,      51.779360,       +1.169651,  105551.54,  190042.83,    2772.74,             3691.91,   192.92,  69076.66,           59718.17,      8.21,     17.47,          20.95,  +1.80,  +0.41
  2,     UK0032,       0,  0.093124, 2459439.542650222313,   2.93381,  -0.24521,              148.77274,  32.55380,       148.79242,       32.56831,      2.93381,      -0.24521,       2.91392,       -0.23660,  3731771.35, -1492571.17,  5068737.19,      51.772009,       +1.154228,  103819.66,  189207.13,    4971.74,             5890.91,   -12.03,  54777.80,           59718.17,    -30.99,    -65.84,          79.33,  +0.94,  -0.44
  3,     UK0032,       0,  0.133236, 2459439.542650686577,   2.66496,  -0.83289,              149.29063,  32.07832,       149.29705,       32.08304,      2.66496,      -0.83289,       2.65890,       -0.83007,  3730955.00, -1493441.98,  5066789.71,      51.764368,       +1.138211,  102020.99,  188362.65,    7255.90,             8175.08,  -129.90,  56944.66,           59718.17,    -10.07,    -21.41,          25.90,  +0.70,  -0.67
  4,     UK0032,       0,  0.173360, 2459439.542651150841,   2.36412,  -1.49046,              149.86367,  31.54378,       149.85507,       31.53749,      2.36412,      -1.49046,       2.37373,       -1.49423,  3730049.85, -1494407.50,  5064630.37,      51.755888,       +1.120466,  100027.00,  187455.08,    9788.54,            10707.72,    -0.01,  63120.34,           59956.48,     13.43,     28.59,          34.76,  +0.39,  -0.97

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.