Orbital Analysis for matched events on 20210813_004925.896_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.94° Bg 38.67° Vg 58.10km/s
mass 0.07055g, abs. mag -1.2
Path Details
------------
start 2.29° 53.34° 111.80km
end   2.13° 53.27° 95.24km

Orbit Details
-------------
Semimajor axis 8.16A.U., eccentricity 0.88, inclination 111.99°, Period 23.30Y, LA Sun 140.22°, last Perihelion 2021-07-21

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: 2459439.534327502362
Time: 2021-08-13 00:49:25.896204 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002K
 Convergence angle = 24.66028 deg
 R.A. =  48.84022  Dec = +57.12472 deg
Intersection 2 - Stations: UK000Z and UK0032
 Convergence angle = 2.12014 deg
 R.A. =  47.77097  Dec = +60.02995 deg
Intersection 3 - Stations: UK002K and UK0032
 Convergence angle = 22.54322 deg
 R.A. =  48.71176  Dec = +56.84811 deg

Best intersection: Stations UK000Z and UK002K with Qconv = 24.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3556644.44 +/- 151.64 m
 Y =  -1558821.02 +/- 159.40 m
 Z =   5183007.81 +/- 202.50 m
 Vx =    20236.31 +/- 432.23 m/s
 Vy =    23132.97 +/- 407.71 m/s
 Vz =    50537.17 +/- 657.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.389162e+04, +2.477408e+04, +2.840301e+04, +4.492695e+04, +4.172072e+04, +3.375978e+04
+2.477408e+04, +2.656939e+04, +3.019012e+04, +4.570846e+04, +4.526187e+04, +3.503968e+04
+2.840301e+04, +3.019012e+04, +3.934447e+04, +4.808470e+04, +4.628470e+04, +3.793341e+04
+4.492695e+04, +4.570846e+04, +4.808470e+04, +1.947231e+05, +1.766377e+05, +1.282180e+05
+4.172072e+04, +4.526187e+04, +4.628470e+04, +1.766377e+05, +1.727675e+05, +1.205435e+05
+3.375978e+04, +3.503968e+04, +3.793341e+04, +1.282180e+05, +1.205435e+05, +8.996350e+04

Timing offsets (from input data):
    UK000Z: -0.001671 s
    UK002K: -0.001868 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:49:25.896204 UTC
  Lon     = ++2.291122 +/- 0.0030 deg
  Lat     = +53.339759 +/- 0.0006 deg
  Lat geo = +53.158443 +/- 0.0006 deg
  Ht      =  111898.14 +/- 204.90 m

  JD dynamic   = 2459439.535128243268 
  LST apparent = 336.3329208800 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.82115 +/- 0.1760 deg
  Dec       = +58.69341 +/- 0.3315 deg
  Azimuth   =  52.17600 +/- 0.5158 deg
  Elevation = +51.14577 +/- 0.1140 deg
  Vavg      =  58.97409 +/- 0.5259 km/s
  Vinit     =  59.14937 +/- 0.5592 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.97860 +/- 0.1760 deg
  Dec       = +58.47035 +/- 0.3315 deg
  Azimuth   =  52.44253 +/- 0.5158 deg
  Elevation = +50.97713 +/- 0.1140 deg
  Vavg      =  59.11493 +/- 0.5259 km/s
  Vinit     =  59.29021 +/- 0.5592 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.02790 +/- 0.1858 deg
  Dec    = +58.46224 +/- 0.3309 deg
  Vg     =  58.09955 +/- 0.5691 km/s
  Vinf   =  59.14937 +/- 0.5592 km/s
  Zc     =  38.96565 +/- 0.1130 deg
  Zg     =  39.32863 +/- 0.1091 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.94076 +/- 0.2335 deg
  Bg     = +38.67434 +/- 0.2925 deg
  Vh     =  40.52584 +/- 0.3515 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.68592 +/- 1.1908 deg
  Bh     = +63.62217 +/- 0.5852 deg
  Vh_x   =  -1.35442 +/- 0.4377 km/s
  Vh_y   = -17.95415 +/- 0.4898 km/s
  Vh_z   = -36.30644 +/- 0.1340 km/s
Orbit:
  La Sun = 140.221461 +/- 0.0000 deg
  a      =   8.157275 +/- 7.9706 AU
  e      =   0.884579 +/- 0.0304
  i      = 111.994501 +/- 0.8022 deg
  peri   = 148.123535 +/- 0.9124 deg
  node   = 140.221081 +/- 0.0001 deg
  Pi     = 288.344616 +/- 0.9124 deg
  q      =   0.941518 +/- 0.0028 AU
  f      =  31.872680 +/- 0.9124 deg
  M      =   0.956790 +/- 0.3271 deg
  Q      =  15.373031 +/- 15.9390 AU
  n      =   0.042305 +/- 0.0139 deg/day
  T      =  23.297980 +/- 55.3087 years
  Last perihelion JD = 2459416.918376 (2021-07-21 10:02:27.677198) +/- 0.7590 days
  Tj     =   0.200626 +/- 0.1880
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.352661e-04, +8.161608e-05, +2.289377e-02, -3.104763e-08, +4.733139e-04, +4.294754e-04
q   , +8.161608e-05, +8.303426e-06, +2.166688e-03, -2.738424e-09, +4.602423e-05, +3.789655e-05
Tp  , +2.289377e-02, +2.166688e-03, +5.847064e-01, -7.632455e-07, +1.226298e-02, +1.056126e-02
node, -3.104763e-08, -2.738424e-09, -7.632455e-07, +1.067382e-12, -1.581540e-08, -1.475897e-08
peri, +4.733139e-04, +4.602423e-05, +1.226298e-02, -1.581540e-08, +2.584262e-04, +2.188515e-04
i   , +4.294754e-04, +3.789655e-05, +1.056126e-02, -1.475897e-08, +2.188515e-04, +2.040844e-04

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: UK0032
  Avg. res. = 4.216e-06 s
  Stddev    = 2.05e-03 s

Begin point on the trajectory:
  Lon =     2.290241 +/- 0.0026 deg
  Lat =    53.339349 +/- 0.0003 deg
  Ht  = 111804.23 +/- 145.56 m
End point on the trajectory:
  Lon =     2.132872 +/- 0.0019 deg
  Lat =    53.266732 +/- 0.0002 deg
  Ht  = 95237.11 +/- 69.38 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,   False,    -1.740490,    53.069201,  230.00,  14.155753,   0.000000,   110997.28,    95825.23,          0.011724,      7.64,     58.47,              36.79, 0.3587,    True,    True, {"ff_name": "FF_UK000Z_20210813_004918_749_0404736.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000161,  38.641150,   111735.26,    95237.11,          0.013952,     25.95,     43.50,              37.33, 0.3677,    True,    True, {"ff_name": "FF_UK002K_20210813_004916_341_0410112.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   111804.23,    95499.47,          0.022108,     12.11,     70.40,              22.69, 0.1488,    True,    True, {"ff_name": "FF_UK0032_20210813_004922_804_0416256.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,       0,  0.034670, 2459439.534327923320,  55.41379,  21.23278,               82.10963,  20.89510,        82.09260,       20.88433,     55.41379,     +21.23278,      55.43446,      +21.23465,  3556248.66, -1559273.45,  5182019.42,      53.335828,       +2.282512,  110997.28,  294379.71,       0.00,             1156.83,  -512.99,      0.00,           63993.10,     97.89,     12.80,          69.17,  +3.18,  +0.84
  1,     UK000Z,       0,  0.074926, 2459439.534328389447,  55.45351,  20.88021,               82.31961,  20.59994,        82.30505,       20.59074,     55.45351,     +20.88021,      55.47134,      +20.88181,  3555236.81, -1560430.13,  5179492.48,      53.325771,       +2.260715,  108694.50,  292036.70,    2957.56,             4114.39,    63.45,  73468.78,           63993.10,     83.08,     10.86,          59.18,  +2.13,  -0.20
  2,     UK000Z,       0,  0.115130, 2459439.534328854643,  55.49898,  20.60173,               82.47392,  20.35815,        82.47311,       20.35764,     55.49898,     +20.60173,      55.50044,      +20.60182,  3554444.81, -1561335.51,  5177514.55,      53.317891,       +2.243614,  106892.38,  290208.39,    5272.55,             6429.38,     0.40,  57581.07,           63993.10,      4.59,      0.60,           3.29,  +1.61,  -0.70
  3,     UK000Z,       0,  0.155350, 2459439.534329320304,  55.52999,  20.29078,               82.66075,  20.09968,        82.65908,       20.09863,     55.52999,     +20.29078,      55.53265,      +20.29096,  3553577.20, -1562327.31,  5175347.84,      53.309252,       +2.224893,  104918.61,  288214.69,    7808.51,             8965.33,   157.37,  63052.14,           63993.10,      9.41,      1.23,           6.79,  +1.22,  -1.08
  4,     UK000Z,       0,  0.195562, 2459439.534329785500,  55.56944,  20.00201,               82.82537,  19.85306,        82.83183,       19.85713,     55.56944,     +20.00201,      55.56252,      +20.00130,  3552779.24, -1563239.48,  5173355.06,      53.301299,       +2.207658,  103103.62,  286387.86,   10140.88,            11297.70,   111.23,  58001.84,           62487.37,    -36.24,     -4.71,          26.32,  +1.40,  -0.88
  5,     UK000Z,       0,  0.235758, 2459439.534330250695,  55.57807,  19.70919,               83.01592,  19.62146,        83.00478,       19.61445,     55.57807,     +19.70919,      55.59241,      +19.71041,  3551988.00, -1564143.98,  5171379.05,      53.293405,       +2.190564,  101304.21,  284583.70,   12453.62,            13610.45,    46.41,  57536.77,           61350.29,     62.16,      8.12,          45.44,  +1.11,  -1.16
  6,     UK000Z,       0,  0.275966, 2459439.534330716357,  55.60691,  19.41754,               83.18946,  19.37849,        83.17762,       19.37103,     55.60691,     +19.41754,      55.62225,      +19.41884,  3551204.80, -1565039.29,  5169423.13,      53.285586,       +2.173638,   99523.39,  282805.14,   14742.86,            15899.69,   -42.64,  56934.85,           60471.09,     65.75,      8.59,          48.36,  +1.26,  -1.00
  7,     UK000Z,       0,  0.316198, 2459439.534331182018,  55.64780,  19.09337,               83.37481,  19.10289,        83.36956,       19.09959,     55.64780,     +19.09337,      55.65540,      +19.09394,  3550343.75, -1566023.60,  5167272.77,      53.276981,       +2.155043,   97565.92,  280859.46,   17259.67,            18416.50,    94.48,  62557.40,           60278.61,     28.94,      3.77,          21.44,  +1.24,  -1.00
  8,     UK000Z,       0,  0.356402, 2459439.534331647214,  55.67014,  18.80003,               83.55326,  18.86202,        83.54197,       18.85492,     55.67014,     +18.80003,      55.68513,      +18.80126,  3549577.92, -1566899.05,  5165360.23,      53.269321,       +2.138484,   95825.23,  279135.56,   19498.13,            20654.96,   -45.11,  55677.48,           59882.13,     61.98,      8.09,          46.19,  +2.05,  -0.18
  0,     UK002K,       0,  0.010572, 2459439.534327646717,  39.78979,  21.09897,               96.00109,  30.92207,        96.02441,       30.94345,     39.78979,     +21.09897,      39.75874,      +21.10283,  3556572.88, -1558902.81,  5182829.11,      53.339048,       +2.289541,  111735.26,  212273.44,       0.00,              209.15,   -35.29,      0.00,           57778.75,    -93.16,    -55.55,         105.40,  +3.49,  +1.86
  1,     UK002K,       0,  0.050916, 2459439.534328113776,  39.70272,  20.63098,               96.41881,  30.61095,        96.42845,       30.61976,     39.70272,     +20.63098,      39.69012,      +20.63258,  3555607.67, -1560006.19,  5180418.63,      53.329458,       +2.268742,  109538.44,  210052.64,    2821.26,             3030.40,   399.65,  69930.02,           57778.75,    -38.12,    -22.75,          43.59,  +1.95,  +0.34
  2,     UK002K,       0,  0.091180, 2459439.534328579903,  39.65816,  20.27764,               96.71480,  30.36289,        96.72986,       30.37660,     39.65816,     +20.27764,      39.63858,      +20.28013,  3554896.87, -1560818.74,  5178643.51,      53.322390,       +2.253379,  107920.95,  208424.07,    4898.88,             5108.03,    95.69,  51600.12,           57778.75,    -59.01,    -35.22,          68.01,  +1.53,  -0.06
  3,     UK002K,       0,  0.131448, 2459439.534329046030,  39.58745,  19.90594,               97.04490,  30.11541,        97.04774,       30.11799,     39.58745,     +19.90594,      39.58426,      +19.90641,  3554155.20, -1561666.57,  5176791.31,      53.315008,       +2.237352,  106233.49,  206733.90,    7066.73,             7275.88,  -118.30,  53835.42,           57778.75,    -11.03,     -6.59,          12.82,  +1.26,  -0.32
  4,     UK002K,       0,  0.171780, 2459439.534329512622,  39.53126,  19.46561,               97.41076,  29.80523,        97.41914,       29.81281,     39.53126,     +19.46561,      39.52094,      +19.46699,  3553298.67, -1562645.70,  5174652.26,      53.306476,       +2.218867,  104285.05,  204794.79,    9570.30,             9779.44,    -0.34,  62074.02,           58038.44,    -32.23,    -19.25,          37.81,  +1.19,  -0.37
  5,     UK002K,       0,  0.212084, 2459439.534329979215,  39.45989,  19.04781,               97.77138,  29.52078,        97.77139,       29.52080,     39.45989,     +19.04781,      39.46077,      +19.04781,  3552496.32, -1563562.90,  5172648.50,      53.298477,       +2.201536,  102460.17,  202989.05,   11915.52,            12124.67,   -39.07,  58188.35,           58134.03,     -0.05,     -0.03,           0.06,  +1.16,  -0.38
  6,     UK002K,       0,  0.252404, 2459439.534330445807,  39.41473,  18.61917,               98.11565,  29.21169,        98.12782,       29.22264,     39.41473,     +18.61917,      39.39984,      +18.62115,  3551694.05, -1564480.01,  5170644.95,      53.290471,       +2.184204,  100635.79,  201194.74,   14260.51,            14469.65,   -78.99,  58159.36,           58170.88,    -45.98,    -27.46,          54.91,  +1.10,  -0.42
  7,     UK002K,       0,  0.292756, 2459439.534330912866,  39.34379,  18.14116,               98.51491,  28.87824,        98.52484,       28.88714,     39.34379,     +18.14116,      39.33204,      +18.14278,  3550811.38, -1565489.03,  5168440.61,      53.281655,       +2.165148,   98628.96,  199234.94,   16840.50,            17049.65,   114.21,  63937.18,           58667.43,    -37.15,    -22.19,          44.80,  +1.11,  -0.39
  8,     UK002K,       0,  0.333052, 2459439.534331379458,  39.27696,  17.73365,               98.85893,  28.59696,        98.86213,       28.59982,     39.27696,     +17.73365,      39.27418,      +17.73417,  3550070.67, -1566335.76,  5166590.81,      53.274251,       +2.149128,   96945.19,  197599.90,   19005.53,            19214.68,  -104.25,  53728.17,           58569.82,    -11.89,     -7.10,          14.46,  +1.45,  -0.03
  9,     UK002K,       0,  0.373364, 2459439.534331846051,  39.22122,  17.31162,               99.20200,  28.29706,        99.20814,       28.30254,     39.22122,     +17.31162,      39.21479,      +17.31262,  3549319.15, -1567194.86,  5164714.00,      53.266732,       +2.132872,   95237.11,  195951.75,   21202.17,            21411.32,  -292.03,  54490.98,           58297.63,    -22.61,    -13.51,          27.73,  +1.84,  +0.38
  0,     UK0032,       0,  0.000000, 2459439.534327502362,  52.49334,  35.32285,               74.75195,  34.04197,        74.74445,       34.03664,     52.49334,     +35.32285,      52.50334,      +35.32353,  3556603.18, -1558868.18,  5182904.78,      53.339349,       +2.290241,  111804.23,  196104.58,       0.00,              120.59,   501.51,      0.00,           55445.46,     27.62,      4.79,          29.49,  +3.37,  +1.91
  1,     UK0032,       0,  0.040156, 2459439.534327967092,  52.51035,  35.11802,               74.91584,  33.88811,        74.90590,       33.88106,     52.51035,     +35.11802,      52.52374,      +35.11892,  3555999.62, -1559558.14,  5181397.46,      53.333354,       +2.277173,  110430.45,  194478.91,    1764.18,             1884.77,  -109.52,  43933.12,           55445.46,     36.30,      6.30,          39.08,  +2.68,  +1.24
  2,     UK0032,       0,  0.080372, 2459439.534328432754,  52.55721,  34.84394,               75.11735,  33.66779,        75.12211,       33.67116,     52.55721,     +34.84394,      52.55123,      +34.84351,  3555204.51, -1560467.06,  5179411.81,      53.325450,       +2.260009,  108620.99,  192344.07,    4088.21,             4208.81,  -164.23,  57788.84,           55445.46,    -17.22,     -2.98,          18.74,  +1.72,  +0.30
  3,     UK0032,       0,  0.120612, 2459439.534328898415,  52.60079,  34.53317,               75.35098,  33.42295,        75.36544,       33.43315,     52.60079,     +34.53317,      52.58218,      +34.53185,  3554326.12, -1561471.18,  5177218.16,      53.316710,       +2.241061,  106622.36,  189991.88,    6655.69,             6776.28,    23.07,  63803.99,           55445.46,    -51.63,     -8.91,          56.88,  +1.30,  -0.09
  4,     UK0032,       0,  0.160844, 2459439.534329364076,  52.65341,  34.23878,               75.56292,  33.18384,        75.59537,       33.20667,     52.65341,     +34.23878,      52.61132,      +34.23581,  3553511.04, -1562402.94,  5175182.61,      53.308593,       +2.223462,  104768.11,  187813.74,    9038.12,             9158.71,    25.81,  59217.44,           57114.71,   -114.63,    -19.69,         127.74,  +1.21,  -0.16
  5,     UK0032,       0,  0.201064, 2459439.534329829272,  52.67893,  33.94724,               75.79009,  32.96201,        75.82052,       32.98339,     52.67893,     +33.94724,      52.63977,      +33.94447,  3552726.73, -1563299.51,  5173223.92,      53.300775,       +2.206519,  102984.18,  185722.35,   11330.61,            11451.20,   -60.70,  56998.57,           57574.73,   -106.37,    -18.29,         119.87,  +1.18,  -0.16
  6,     UK0032,       0,  0.241316, 2459439.534330295399,  52.70113,  33.60960,               76.05677,  32.70877,        76.07938,       32.72463,     52.70113,     +33.60960,      52.67251,      +33.60755,  3551841.88, -1564311.02,  5171014.15,      53.291947,       +2.187422,  100971.95,  183369.99,   13916.95,            14037.54,   144.77,  64253.83,           58455.28,    -78.10,    -13.45,          89.14,  +1.06,  -0.26
  7,     UK0032,       0,  0.281560, 2459439.534330761060,  52.74121,  33.29153,               76.29294,  32.45841,        76.32292,       32.47938,     52.74121,     +33.29153,      52.70320,      +33.28882,  3551024.79, -1565245.07,  5168973.58,      53.283788,       +2.169770,   99114.14,  181202.85,   16305.26,            16425.85,   152.67,  59345.74,           58896.29,   -102.43,    -17.62,         118.31,  +1.19,  -0.10
  8,     UK0032,       0,  0.321784, 2459439.534331226721,  52.75339,  32.98571,               76.53728,  32.23254,        76.55450,       32.24457,     52.75339,     +32.98571,      52.73228,      +32.98417,  3550261.33, -1566117.82,  5167066.94,      53.276157,       +2.153263,   97378.56,  179182.54,   18536.81,            18657.40,     5.00,  55478.05,           58874.15,    -58.23,    -10.05,          68.02,  +1.05,  -0.22
  9,     UK0032,       0,  0.362032, 2459439.534331692383,  52.76620,  32.64649,               76.80733,  31.98181,        76.80990,       31.98361,     52.76620,     +32.64649,      52.76436,      +32.64626,  3549434.59, -1567062.90,  5165002.28,      53.267887,       +2.135399,   95499.47,  177001.44,   20953.32,            21073.91,    40.86,  60040.48,           58926.54,     -8.62,     -1.49,          10.20,  +1.79,  +0.55

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.