Orbital Analysis for matched events on 20210816_015517.010_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.04° Bg 37.05° Vg 56.60km/s
mass 0.00407g, abs. mag 0.9
Path Details
------------
start -3.20° 51.67° 108.20km
end   -3.29° 51.63° 97.40km

Orbit Details
-------------
Semimajor axis 3.29A.U., eccentricity 0.72, inclination 112.96°, Period 5.96Y, LA Sun 143.15°, last Perihelion 2021-07-19

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: 2459442.580057990737
Time: 2021-08-16 01:55:17.010400 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK001Z
 Convergence angle = 48.46982 deg
 R.A. =  54.95013  Dec = +56.93045 deg
Intersection 2 - Stations: UK0006 and UK0020
 Convergence angle = 72.64375 deg
 R.A. =  53.95754  Dec = +57.34517 deg
Intersection 3 - Stations: UK0006 and UK003F
 Convergence angle = 18.23569 deg
 R.A. =  57.93529  Dec = +55.57502 deg
Intersection 4 - Stations: UK001Z and UK0020
 Convergence angle = 24.18096 deg
 R.A. =  54.76406  Dec = +58.51142 deg
Intersection 5 - Stations: UK001Z and UK003F
 Convergence angle = 30.25275 deg
 R.A. =  54.79503  Dec = +58.25776 deg
Intersection 6 - Stations: UK0020 and UK003F
 Convergence angle = 54.43357 deg
 R.A. =  54.65892  Dec = +58.36392 deg

Best intersection: Stations UK0006 and UK0020 with Qconv = 72.64 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3973183.80 +/- 24.58 m
 Y =   -678318.60 +/- 35.93 m
 Z =   5065255.69 +/- 162.49 m
 Vx =    17955.94 +/- 421.39 m/s
 Vy =    24884.00 +/- 552.64 m/s
 Vz =    48842.66 +/- 680.79 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.509767e+02, +4.633728e+02, +2.950795e+03, +2.698991e+02, -2.063744e+03, +8.360979e+03
+4.633728e+02, +1.348922e+03, +4.412949e+03, -2.981524e+03, +3.348214e+02, +1.295164e+04
+2.950795e+03, +4.412949e+03, +2.788572e+04, -1.284236e+04, -1.326718e+04, +1.064955e+05
+2.698991e+02, -2.981524e+03, -1.284236e+04, +1.994543e+04, -1.702573e+03, -5.626061e+04
-2.063744e+03, +3.348214e+02, -1.326718e+04, -1.702573e+03, +2.652575e+04, -6.616913e+04
+8.360979e+03, +1.295164e+04, +1.064955e+05, -5.626061e+04, -6.616913e+04, +4.884219e+05

Timing offsets (from input data):
    UK0006: -0.000137 s
    UK001Z: -0.000244 s
    UK0020: 0.000000 s
    UK003F: -0.000201 s
    UK003H: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 01:55:17.010400 UTC
  Lon     = +-3.195141 +/- 0.0005 deg
  Lat     = +51.673264 +/- 0.0008 deg
  Lat geo = +51.489025 +/- 0.0008 deg
  Ht      =  108191.95 +/- 135.65 m

  JD dynamic   = 2459442.580858731642 
  LST apparent = 350.3116317857 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  54.18632 +/- 0.2793 deg
  Dec       = +57.86043 +/- 0.4597 deg
  Azimuth   =  54.44822 +/- 0.7502 deg
  Elevation = +54.05082 +/- 0.1987 deg
  Vavg      =  55.94267 +/- 0.3505 km/s
  Vinit     =  57.68219 +/- 0.5163 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.42591 +/- 0.2793 deg
  Dec       = +57.63879 +/- 0.4597 deg
  Azimuth   =  54.73534 +/- 0.7502 deg
  Elevation = +53.85865 +/- 0.1987 deg
  Vavg      =  56.08363 +/- 0.3505 km/s
  Vinit     =  57.82315 +/- 0.5163 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.37987 +/- 0.2797 deg
  Dec    = +57.67915 +/- 0.4655 deg
  Vg     =  56.60464 +/- 0.5261 km/s
  Vinf   =  57.68219 +/- 0.5163 km/s
  Zc     =  36.05657 +/- 0.1974 deg
  Zg     =  36.40821 +/- 0.2035 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.03648 +/- 0.2453 deg
  Bg     = +37.04712 +/- 0.4480 deg
  Vh     =  38.50071 +/- 0.6788 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.18305 +/- 0.4212 deg
  Bh     = +62.34638 +/- 0.2713 deg
  Vh_x   =  -0.25478 +/- 0.1308 km/s
  Vh_y   = -17.86733 +/- 0.2269 km/s
  Vh_z   = -34.10276 +/- 0.6662 km/s
Orbit:
  La Sun = 143.147148 +/- -0.0000 deg
  a      =   3.288432 +/- 1.1075 AU
  e      =   0.719561 +/- 0.0541
  i      = 112.963093 +/- 0.2649 deg
  peri   = 141.859861 +/- 1.7292 deg
  node   = 143.147058 +/- 0.0000 deg
  Pi     = 285.006919 +/- 1.7293 deg
  q      =   0.922205 +/- 0.0046 AU
  f      =  38.136535 +/- 1.7292 deg
  M      =   4.603222 +/- 1.4360 deg
  Q      =   5.654659 +/- 2.2115 AU
  n      =   0.165280 +/- 0.0449 deg/day
  T      =   5.963263 +/- 3.6638 years
  Last perihelion JD = 2459414.729838 (2021-07-19 05:30:57.972394) +/- 1.5510 days
  Tj     =   1.151882 +/- 0.3139
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.086439e-03, +2.246843e-04, +8.653786e-02, +1.562742e-08, +1.640749e-03, -2.296022e-04
q   , +2.246843e-04, +2.271496e-05, +7.215463e-03, +1.300736e-09, +1.446021e-04, -1.911566e-05
Tp  , +8.653786e-02, +7.215463e-03, +2.565345e+00, +4.592734e-07, +4.973999e-02, -6.748152e-03
node, +1.562742e-08, +1.300736e-09, +4.592734e-07, +1.049996e-13, +8.914951e-09, -1.543571e-09
peri, +1.640749e-03, +1.446021e-04, +4.973999e-02, +8.914951e-09, +9.735748e-04, -1.309952e-04
i   , -2.296022e-04, -1.911566e-05, -6.748152e-03, -1.543571e-09, -1.309952e-04, +2.269172e-05

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: UK0020
  Avg. res. = 2.246e-06 s
  Stddev    = 1.50e-03 s

Begin point on the trajectory:
  Lon =    -3.195077 +/- 0.0002 deg
  Lat =    51.673292 +/- 0.0007 deg
  Ht  = 108199.59 +/- 98.04 m
End point on the trajectory:
  Lon =    -3.286763 +/- 0.0002 deg
  Lat =    51.632935 +/- 0.0005 deg
  Ht  = 97401.31 +/- 58.81 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,   105682.55,    98356.98,          0.013782,     30.79,     27.31,              83.76, 0.9882,    True,    True, {"ff_name": "FF_UK0006_20210816_015508_751_0522496.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   1.611295,   0.000000,   104903.87,    97401.31,          0.009197,      0.77,     21.73,              38.55, 0.3883,    True,    True, {"ff_name": "FF_UK001Z_20210816_015517_099_0520192.fits"}
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   108199.59,    97573.29,          0.019113,     20.75,     45.47,              28.72, 0.2309,    True,    True, {"ff_name": "FF_UK0020_20210816_015507_592_0517376.fits"}
    UK003F,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   105401.72,    99871.37,          0.012701,     16.43,     28.44,              68.72, 0.8683,    True,    True, {"ff_name": "FF_UK003F_20210816_015507_894_0524288.fits"}
    UK003H,    True,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   107589.26,   102487.57,          2.649902,       nan,       nan,              55.03, 0.0000,   False,    True, {"ff_name": "FF_UK003H_20210816_015517_660_0520960.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,  0.068160, 2459442.580058781430, 293.73000,  23.26042,              260.27451,  37.39108,       260.27202,       37.39158,    293.73000,     +23.26042,     293.73225,      +23.25948,  3972218.79,  -679655.95,  5062630.72,      51.663906,       -3.216478,  105682.55,  171551.90,       0.00,             3100.04,  -195.20,      0.00,           59245.92,     -4.05,      4.56,           7.34,  +2.54,  +1.37
  1,     UK0006,       0,  0.109028, 2459442.580059254076, 293.26742,  22.43023,              259.98979,  36.48601,       259.99166,       36.48564,    293.26742,     +22.43023,     293.26638,      +22.43094,  3971348.84,  -680861.57,  5060264.32,      51.655461,       -3.235633,  103420.76,  171341.62,    2794.67,             5894.71,   242.12,  68382.79,           59245.92,      3.08,     -3.46,           5.58,  +0.38,  -0.79
  2,     UK0006,       0,  0.149684, 2459442.580059724860, 292.91470,  21.80635,              259.78842,  35.80077,       259.78480,       35.80149,    292.91470,     +21.80635,     292.91823,      +21.80497,  3970694.10,  -681768.92,  5058483.36,      51.649099,       -3.250094,  101718.78,  171215.67,    4897.94,             7997.99,     0.26,  51733.46,           59245.92,     -6.00,      6.76,          10.89,  +1.45,  +0.28
  3,     UK0006,       0,  0.190448, 2459442.580060196575, 292.54455,  21.06083,              259.51212,  35.01096,       259.54793,       35.00385,    292.54455,     +21.06083,     292.51652,      +21.07450,  3969931.90,  -682825.20,  5056410.06,      51.641687,       -3.266907,   99737.72,  171100.13,    7346.46,            10446.51,    97.43,  60065.74,           59245.92,     59.81,    -67.42,         108.65,  +1.27,  +0.10
  4,     UK0006,       0,  0.230980, 2459442.580060665496, 292.24157,  20.56174,              259.38000,  34.44748,       259.38568,       34.44635,    292.24157,     +20.56174,     292.23794,      +20.56391,  3969400.61,  -683561.49,  5054964.87,      51.636516,       -3.278679,   98356.98,  171043.18,    9053.20,            12153.24,  -533.81,  42108.41,           55668.61,      9.55,    -10.76,          17.35,  +2.69,  +1.52
  0,     UK001Z,       0,  0.082201, 2459442.580058944877, 251.56405,  81.90266,              347.76863,  48.95297,       347.76311,       48.95862,    251.56405,     +81.90266,     251.61052,      +81.90099,  3971919.30,  -680070.99,  5061816.07,      51.661000,       -3.223071,  104903.87,  138137.68,       0.00,             4062.12,   -43.03,      0.00,           58131.22,    -16.16,     -0.57,          24.15,  +1.56,  +0.86
  1,     UK001Z,       0,  0.122361, 2459442.580059409607, 250.49043,  81.28296,              346.95896,  48.60091,       346.94787,       48.61206,    250.49043,     +81.28296,     250.57659,      +81.27989,  3971186.83,  -681086.07,  5059823.65,      51.653887,       -3.239225,  102999.61,  136343.50,    2353.00,             6415.13,    -6.54,  58590.75,           58131.22,    -31.73,     -1.12,          48.03,  +1.08,  +0.41
  2,     UK001Z,       0,  0.162529, 2459442.580059874803, 249.55472,  80.62475,              346.11082,  48.22947,       346.09995,       48.24023,    249.55472,     +80.62475,     249.63313,      +80.62197,  3970434.15,  -682129.17,  5057776.26,      51.646572,       -3.255824,  101043.10,  134517.90,    4770.94,             8833.06,    94.41,  60195.45,           58131.22,    -30.42,     -1.08,          46.68,  +1.08,  +0.44
  3,     UK001Z,       0,  0.202677, 2459442.580060339533, 248.84878,  80.00442,              345.31902,  47.88476,       345.31708,       47.88665,    248.84878,     +80.00442,     248.86258,      +80.00395,  3969747.81,  -683080.32,  5055909.31,      51.639896,       -3.270979,   99259.28,  132870.03,    6975.76,            11037.89,   -16.59,  54917.53,           58131.22,     -5.32,     -0.19,           8.27,  +1.47,  +0.85
  4,     UK001Z,       0,  0.242837, 2459442.580060804263, 248.16341,  79.34123,              344.48848,  47.50738,       344.49287,       47.50317,    248.16341,     +79.34123,     248.13707,      +79.34221,  3969032.84,  -684071.16,  5053964.48,      51.632935,       -3.286763,   97401.31,  131170.93,    9272.57,            13334.69,   -36.30,  57191.32,           57690.77,     11.79,      0.42,          18.55,  +4.25,  +3.66
  0,     UK0020,       0,  0.000000, 2459442.580057990737, 118.62519,  79.34171,               11.47181,  43.41294,        11.48020,       43.40415,    118.62519,     +79.34171,     118.63341,      +79.33112,  3973186.74,  -678314.53,  5065263.68,      51.673292,       -3.195077,  108199.59,  155996.80,       0.00,                9.43,   645.79,      0.00,           52542.95,     26.51,     12.07,          38.51,  +3.62,  +2.65
  1,     UK0020,       0,  0.040268, 2459442.580058456864, 120.35130,  79.37593,               11.11573,  43.22414,        11.11661,       43.22322,    120.35130,     +79.37593,     120.35215,      +79.37482,  3972637.55,  -679075.62,  5063769.79,      51.667968,       -3.207224,  106771.41,  154454.49,    1764.25,             1754.82,    68.42,  43812.66,           52542.95,      2.74,      1.25,           4.02,  +2.76,  +1.82
  2,     UK0020,       0,  0.080628, 2459442.580058923922, 122.74069,  79.43982,               10.60143,  42.98756,        10.61819,       42.97027,    122.74069,     +79.43982,     122.74940,      +79.41868,  3971893.79,  -680106.34,  5061746.68,      51.660752,       -3.223621,  104837.55,  152374.23,    4153.50,             4144.07,   129.63,  59198.62,           52542.95,     51.33,     23.34,          76.33,  +2.00,  +1.09
  3,     UK0020,       0,  0.120976, 2459442.580059390981, 124.94628,  79.40844,               10.19626,  42.71080,        10.16874,       42.73893,    124.94628,     +79.40844,     124.94051,      +79.44306,  3971235.97,  -681017.97,  5059957.32,      51.654365,       -3.238145,  103127.35,  150541.93,    6266.70,             6257.27,   -84.53,  52374.34,           52542.95,    -82.78,    -37.83,         124.70,  +1.17,  +0.28
  4,     UK0020,       0,  0.161384, 2459442.580059858505, 127.67775,  79.44188,                9.62177,  42.43990,         9.61403,       42.44776,    127.67775,     +79.44188,     127.67911,      +79.45159,  3970437.09,  -682125.10,  5057784.24,      51.646601,       -3.255754,  101050.73,  148327.28,    8833.07,             8823.63,   151.01,  63511.22,           54945.83,    -22.87,    -10.43,          34.96,  +1.30,  +0.44
  5,     UK0020,       0,  0.201740, 2459442.580060325563, 129.97427,  79.41789,                9.16962,  42.18257,         9.15104,       42.20127,    129.97427,     +79.41789,     129.98177,      +79.44108,  3969784.07,  -683030.08,  5056007.93,      51.640248,       -3.270182,   99353.51,  146525.40,   10930.85,            10921.41,   -79.04,  51981.88,           55207.91,    -54.04,    -24.65,          83.61,  +1.46,  +0.63
  6,     UK0020,       0,  0.242112, 2459442.580060793087, 132.44119,  79.39855,                8.66740,  41.92392,         8.65730,       41.93402,    132.44119,     +79.39855,     132.44867,      +79.41108,  3969099.02,  -683979.44,  5054144.51,      51.633579,       -3.285313,   97573.29,  144643.96,   13131.51,            13122.08,  -207.12,  54509.68,           55226.62,    -28.91,    -13.17,          45.31,  +4.65,  +3.85
  0,     UK003F,       0,  0.068260, 2459442.580058783293, 282.04762,  44.41436,              289.95271,  44.56009,       289.92830,       44.57033,    282.04762,     +44.41436,     282.07356,      +44.40590,  3972110.78,  -679805.63,  5062336.92,      51.662858,       -3.218835,  105401.72,  148778.86,       0.00,             3447.01,   145.99,      0.00,           57270.87,    -45.37,     26.21,          72.65,  +3.72,  +2.86
  1,     UK003F,       0,  0.108716, 2459442.580059251282, 281.63414,  43.73841,              289.41853,  43.92865,       289.40863,       43.93278,    281.63414,     +43.73841,     281.64499,      +43.73499,  3971482.57,  -680676.23,  5060628.10,      51.656760,       -3.232713,  103768.43,  148117.61,    2018.08,             5465.09,  -169.52,  49883.30,           57270.87,    -18.46,     10.67,          29.70,  +1.57,  +0.72
  2,     UK003F,       0,  0.149348, 2459442.580059721600, 281.07007,  42.82444,              288.72826,  43.06077,       288.72078,       43.06388,    281.07007,     +42.82444,     281.07852,      +42.82187,  3970637.67,  -681847.12,  5058329.85,      51.648551,       -3.251325,  101572.10,  147264.68,    4732.27,             8179.28,   200.93,  66799.26,           57270.87,    -13.99,      8.09,          22.63,  +0.91,  +0.07
  3,     UK003F,       0,  0.189852, 2459442.580060190521, 280.63162,  42.10963,              288.20926,  42.37509,       288.19577,       42.38067,    280.63162,     +42.10963,     280.64650,      +42.10502,  3969983.33,  -682753.93,  5056549.95,      51.642187,       -3.265781,   99871.37,  146637.20,    6834.29,            10281.30,   -33.41,  51896.65,           57270.87,    -25.31,     14.63,          41.12,  +1.92,  +1.09
  0,     UK003H,       1,  0.015365, 2459442.580058168620, 299.30271,  55.03500,              297.55172,  59.46033,       301.47632,       57.68863,    299.30271,     +55.03500,     295.31983,      +56.55561,  3972952.05,  -678639.77,  5064625.29,      51.671018,       -3.200260,  107589.26,  126686.28,       0.00,              744.49,   494.57,      0.00,           51499.99,   4908.45,  -3417.09,        9741.21,  +2.11,  +1.60
  1,     UK003H,       1,  0.056133, 2459442.580058640335, 298.25784,  54.32097,              296.53618,  58.68421,       300.36547,       56.97904,    298.25784,     +54.32097,     294.38645,      +55.78563,  3972189.49,  -679696.55,  5062551.02,      51.663622,       -3.217066,  105606.38,  125324.06,    2449.67,             3194.16,   592.65,  60087.99,           51499.99,   4773.69,  -3311.63,        9565.67,  +2.14,  +1.65
  2,     UK003H,       1,  0.096777, 2459442.580059110653, 297.42776,  53.69963,              295.68414,  58.03288,       299.45773,       56.37070,    297.42776,     +53.69963,     293.62449,      +55.12834,  3971556.99,  -680573.10,  5060830.53,      51.657483,       -3.231038,  103961.91,  124220.62,    4481.53,             5226.02,   280.08,  49991.64,           51499.99,   4693.58,  -3249.25,        9482.19,  +2.66,  +2.19
  3,     UK003H,       1,  0.137373, 2459442.580059580505, 296.67637,  53.13372,              294.94940,  57.42715,       298.65468,       55.81004,    296.67637,     +53.13372,     292.95090,      +54.52467,  3970989.86,  -681359.05,  5059287.86,      51.651974,       -3.243586,  102487.57,  123252.04,    6303.40,             7047.89,  -239.72,  44878.04,           51499.99,   4603.26,  -3179.23,        9365.59,  +5.85,  +5.40

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.