Orbital Analysis for matched events on 20210816_021350.958_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.23° Bg 40.84° Vg 54.32km/s
mass 0.01710g, abs. mag -0.4
Path Details
------------
start -0.54° 50.53° 106.78km
end   -0.59° 50.50° 98.64km

Orbit Details
-------------
Semimajor axis 3.20A.U., eccentricity 0.71, inclination 106.13°, Period 5.72Y, LA Sun 143.16°, 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: 2459442.592950903811
Time: 2021-08-16 02:13:50.985609 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002C
 Convergence angle = 14.28537 deg
 R.A. =  48.58074  Dec = +57.47591 deg
Intersection 2 - Stations: UK000F and UK002W
 Convergence angle = 25.39965 deg
 R.A. =  54.19010  Dec = +60.79915 deg
Intersection 3 - Stations: UK000F and UK0038
 Convergence angle = 25.59051 deg
 R.A. =  54.65954  Dec = +61.03935 deg
Intersection 4 - Stations: UK002C and UK002W
 Convergence angle = 11.20632 deg
 R.A. =  58.41876  Dec = +66.05284 deg
Intersection 5 - Stations: UK002C and UK0038
 Convergence angle = 11.41048 deg
 R.A. =  59.27486  Dec = +66.57622 deg
Intersection 6 - Stations: UK002W and UK0038
 Convergence angle = 0.23824 deg
 R.A. = 174.66716  Dec = +77.61480 deg

Best intersection: Stations UK000F and UK0038 with Qconv = 25.59 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4127139.91 +/- 134.52 m
 Y =   -170849.05 +/- 89.22 m
 Z =   4984802.43 +/- 42.10 m
 Vx =    15592.81 +/- 788.11 m/s
 Vy =    21180.16 +/- 544.22 m/s
 Vz =    48807.08 +/- 785.61 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.602391e+04, +9.255721e+03, +3.249915e+03, +8.265149e+04, +4.499038e+04, +4.315855e+03
+9.255721e+03, +6.715440e+03, +2.097185e+03, +5.190582e+04, +3.639544e+04, +7.247745e+02
+3.249915e+03, +2.097185e+03, +1.797089e+03, +1.366936e+04, +7.969515e+03, +1.243164e+03
+8.265149e+04, +5.190582e+04, +1.366936e+04, +5.928730e+05, +3.580536e+05, +1.854855e+04
+4.499038e+04, +3.639544e+04, +7.969515e+03, +3.580536e+05, +2.700901e+05, -8.960755e+02
+4.315855e+03, +7.247745e+02, +1.243164e+03, +1.854855e+04, -8.960755e+02, +8.090231e+03

Timing offsets (from input data):
    UK000F: 0.000189 s
    UK002C: 0.000158 s
    UK002D: 0.000000 s
    UK002W: 0.000001 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 02:13:50.985609 UTC
  Lon     = +-0.531534 +/- 0.0013 deg
  Lat     = +50.538828 +/- 0.0008 deg
  Lat geo = +50.353032 +/- 0.0008 deg
  Ht      =  108371.09 +/- 106.54 m

  JD dynamic   = 2459442.593751963228 
  LST apparent = 357.6295100734 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.63953 +/- 0.7490 deg
  Dec       = +61.68094 +/- 0.7881 deg
  Azimuth   =  47.95267 +/- 1.5674 deg
  Elevation = +58.01706 +/- 0.2933 deg
  Vavg      =  54.81561 +/- 0.4321 km/s
  Vinit     =  55.44245 +/- 0.4632 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.00291 +/- 0.7490 deg
  Dec       = +61.45373 +/- 0.7881 deg
  Azimuth   =  48.34330 +/- 1.5674 deg
  Elevation = +57.82082 +/- 0.2933 deg
  Vavg      =  54.93477 +/- 0.4321 km/s
  Vinit     =  55.56162 +/- 0.4632 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.88839 +/- 0.7721 deg
  Dec    = +61.57606 +/- 0.7926 deg
  Vg     =  54.32060 +/- 0.4725 km/s
  Vinf   =  55.44245 +/- 0.4632 km/s
  Zc     =  32.10764 +/- 0.2961 deg
  Zg     =  32.44466 +/- 0.3036 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.23484 +/- 0.7631 deg
  Bg     = +40.83917 +/- 0.6563 deg
  Vh     =  38.40106 +/- 0.0902 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  98.38644 +/- 3.0897 deg
  Bh     = +67.67382 +/- 0.7466 deg
  Vh_x   =   2.12761 +/- 0.8065 km/s
  Vh_y   = -14.43176 +/- 0.4947 km/s
  Vh_z   = -35.52237 +/- 0.2169 km/s
Orbit:
  La Sun = 143.159538 +/- -0.0000 deg
  a      =   3.197532 +/- 0.0814 AU
  e      =   0.711093 +/- 0.0066
  i      = 106.131649 +/- 1.3503 deg
  peri   = 142.073495 +/- 1.5331 deg
  node   = 143.160090 +/- 0.0001 deg
  Pi     = 285.233585 +/- 1.5330 deg
  q      =   0.923789 +/- 0.0064 AU
  f      =  37.923158 +/- 1.5331 deg
  M      =   4.792477 +/- 0.3001 deg
  Q      =   5.471274 +/- 0.1599 AU
  n      =   0.172378 +/- 0.0064 deg/day
  T      =   5.717721 +/- 0.2195 years
  Last perihelion JD = 2459414.791607 (2021-07-19 06:59:54.864669) +/- 1.0038 days
  Tj     =   1.321339 +/- 0.0516
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.410194e-05, +8.942673e-06, +2.169736e-03, +1.477530e-09, +4.802759e-05, -2.402338e-05
q   , +8.942673e-06, +3.923465e-05, +6.051863e-03, -7.219658e-09, +1.623640e-04, +1.158212e-04
Tp  , +2.169736e-03, +6.051863e-03, +9.491082e-01, -1.056608e-06, +2.526540e-02, +1.694002e-02
node, +1.477530e-09, -7.219658e-09, -1.056608e-06, +1.973517e-12, -2.909169e-08, -3.169090e-08
peri, +4.802759e-05, +1.623640e-04, +2.526540e-02, -2.909169e-08, +6.750505e-04, +4.665354e-04
i   , -2.402338e-05, +1.158212e-04, +1.694002e-02, -3.169090e-08, +4.665354e-04, +5.089422e-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: UK0038
  Avg. res. = 1.293e-05 s
  Stddev    = 3.60e-03 s

Begin point on the trajectory:
  Lon =    -0.541750 +/- 0.0010 deg
  Lat =    50.532955 +/- 0.0006 deg
  Ht  = 106783.08 +/- 81.95 m
End point on the trajectory:
  Lon =    -0.594931 +/- 0.0009 deg
  Lat =    50.502766 +/- 0.0005 deg
  Ht  = 98637.98 +/- 62.08 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105685.05,    98739.99,          0.012017,     27.56,     28.92,              70.79, 0.8917,    True,    True, {"ff_name": "FF_UK000F_20210816_021349_723_0550400.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   105627.55,    99936.66,          0.013674,     19.59,     34.09,              54.48, 0.6625,    True,    True, {"ff_name": "FF_UK002C_20210816_021343_043_0551680.fits"}
    UK002D,    True,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   106681.68,    97553.08,          0.042559,       nan,       nan,              54.48, 0.0000,    True,    True, {"ff_name": "FF_UK002D_20210816_021346_539_0550912.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,  31.556321,   0.000000,   106783.08,    98905.50,          0.014847,     15.27,     46.68,              54.18, 0.6575,    True,    True, {"ff_name": "FF_UK002W_20210816_021344_601_0548608.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00, 188.998202,   0.000000,   106232.13,    98637.98,          0.008547,      8.68,     27.04,              53.95, 0.6537,    True,    True, {"ff_name": "FF_UK0038_20210816_021344_243_0548608.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,     UK000F,       0,  0.038771, 2459442.592951350380,  13.36508,  -3.83422,              160.34520,  32.53961,       160.34911,       32.54157,     13.36508,      -3.83422,      13.36160,       -3.83298,  4126249.22,  -172058.89,  4982014.50,      50.528892,       -0.548862,  105685.05,  192541.56,       0.00,             3166.96,   542.27,      0.00,           49197.04,     -9.34,     -8.89,          13.82,  +2.99,  +1.57
  1,     UK000F,       0,  0.079107, 2459442.592951817438,  13.18667,  -4.31273,              160.66818,  32.10815,       160.66070,       32.10441,     13.18667,      -4.31273,      13.19399,       -4.31510,  4125745.83,  -172742.67,  4980438.82,      50.523272,       -0.558801,  104167.13,  192004.87,    1789.89,             4956.85,    95.83,  44374.55,           49197.04,     17.86,     17.01,          26.50,  +1.49,  +0.07
  2,     UK000F,       0,  0.119551, 2459442.592952285428,  12.98601,  -4.93384,              161.04712,  31.54061,       161.05384,       31.54397,     12.98601,      -4.93384,      12.98020,       -4.93170,  4125105.95,  -173611.83,  4978435.94,      50.516122,       -0.571392,  102237.86,  191345.64,    4065.07,             7232.03,   128.69,  56254.94,           49197.04,    -16.06,    -15.29,          23.91,  +1.08,  -0.33
  3,     UK000F,       0,  0.159895, 2459442.592952752486,  12.80732,  -5.42165,              161.36527,  31.09815,       161.36399,       31.09751,     12.80732,      -5.42165,      12.80919,       -5.42206,  4124600.12,  -174298.92,  4976852.63,      50.510467,       -0.581384,  100712.88,  190841.51,    5863.63,             9030.59,  -309.52,  44580.64,           49197.04,      3.05,      2.90,           4.55,  +2.18,  +0.78
  4,     UK000F,       0,  0.200335, 2459442.592953220475,  12.56288,  -6.05224,              161.78692,  30.52748,       161.76215,       30.51515,     12.56288,      -6.05224,      12.58717,       -6.06020,  4123945.64,  -175187.91,  4974804.06,      50.503144,       -0.594265,   98739.99,  190213.53,    8190.70,            11357.66,  -224.54,  57543.75,           50643.01,     59.22,     56.45,          88.72,  +4.55,  +3.15
  0,     UK002C,       0,  0.049775, 2459442.592951477971,  29.68858,   8.22432,              135.66061,  38.91508,       135.64113,       38.90256,     29.68858,      +8.22432,      29.70811,       +8.21977,  4126230.15,  -172084.79,  4981954.82,      50.528679,       -0.549278,  105627.55,  165940.01,       0.00,             3234.75,    -0.02,      0.00,           55185.23,     49.39,     28.38,          70.80,  +2.68,  +1.58
  1,     UK002C,       0,  0.090123, 2459442.592951945029,  29.53100,   7.52679,              136.23170,  38.35657,       136.22501,       38.35230,     29.53100,      +7.52679,      29.53802,       +7.52522,  4125536.57,  -173026.91,  4979783.82,      50.520934,       -0.562909,  103536.19,  164577.69,    2466.14,             5700.89,   229.13,  61121.74,           55185.23,     16.86,      9.69,          24.37,  +1.48,  +0.40
  2,     UK002C,       0,  0.130411, 2459442.592952411156,  29.37364,   6.92485,              136.74216,  37.88179,       136.72622,       37.87163,     29.37364,      +6.92485,      29.39003,       +6.92111,  4124942.43,  -173833.94,  4977924.11,      50.514295,       -0.574613,  101744.88,  163430.46,    4578.69,             7813.44,   108.01,  52436.12,           55185.23,     40.00,     22.99,          58.23,  +1.31,  +0.24
  3,     UK002C,       0,  0.170723, 2459442.592952877749,  29.23106,   6.30429,              137.23976,  37.38193,       137.23255,       37.37736,     29.23106,      +6.30429,      29.23895,       +6.30260,  4124342.62,  -174648.68,  4976046.65,      50.507587,       -0.586430,   99936.66,  162292.13,    6711.39,             9946.14,     5.71,  52904.85,           55185.23,     18.00,     10.34,          26.39,  +1.16,  +0.11
  0,     UK002D,       1,  0.024633, 2459442.592951188795,  29.83957,   8.55477,              135.29990,  39.14527,       135.34668,       39.17541,     29.83957,      +8.55477,      29.79327,       +8.56566,  4126579.72,  -171609.97,  4983048.98,      50.532580,       -0.542390,  106681.68,  166637.65,       0.00,             1991.83,   151.00,      0.00,           53259.61,   -119.01,    -68.17,         169.77,  +3.19,  +2.08
  1,     UK002D,       1,  0.065093, 2459442.592951657251,  29.70705,   8.00360,              135.76432,  38.70887,       135.81453,       38.74108,     29.70705,      +8.00360,      29.65749,       +8.01530,  4126024.50,  -172364.13,  4981311.10,      50.526383,       -0.553334,  105007.42,  165533.47,    1974.15,             3965.98,  -118.05,  48792.55,           53259.61,   -127.12,    -72.81,         182.55,  +2.34,  +1.25
  2,     UK002D,       1,  0.105601, 2459442.592952126171,  29.53456,   7.38958,              136.30377,  38.23152,       136.33331,       38.25039,     29.53456,      +7.38958,      29.50566,       +7.39648,  4125408.95,  -173200.25,  4979384.38,      50.519508,       -0.565452,  103151.41,  164329.16,    4162.81,             6154.64,  -175.25,  54030.48,           53259.61,    -74.41,    -42.67,         107.66,  +1.36,  +0.28
  3,     UK002D,       1,  0.146161, 2459442.592952595558,  29.39213,   6.72523,              136.82998,  37.69372,       136.87860,       37.72462,     29.39213,      +6.72523,      29.34440,       +6.73658,  4124762.33,  -174078.58,  4977360.36,      50.512281,       -0.578177,  101201.90,  163086.55,    6461.99,             8453.83,  -124.82,  56685.93,           53259.61,   -121.84,    -69.82,         177.61,  +0.93,  -0.13
  4,     UK002D,       1,  0.186757, 2459442.592953065410,  29.20345,   6.01092,              137.42788,  37.12816,       137.46245,       37.15002,     29.20345,      +6.01092,      29.16981,       +6.01901,  4124070.16,  -175018.78,  4975193.81,      50.504538,       -0.591790,   99115.33,  161782.65,    8923.10,            10914.93,    85.55,  60624.28,           55104.29,    -86.17,    -49.42,         126.65,  +0.97,  -0.07
  5,     UK002D,       1,  0.227213, 2459442.592953533400,  29.07367,   5.46525,              137.86281,  36.68829,       137.90088,       36.71227,     29.07367,      +5.46525,      29.03667,       +5.47417,  4123551.87,  -175722.78,  4973571.52,      50.498736,       -0.602028,   97553.08,  160822.55,   10765.93,            12757.76,  -314.60,  45551.59,           54268.38,    -94.51,    -54.20,         139.73,  +1.71,  +0.68
  0,     UK002W,       0,  0.027541, 2459442.592951222323,  39.49843,   7.04738,              125.20158,  32.93399,       125.20115,       32.93369,     39.49843,      +7.04738,      39.49901,       +7.04731,  4126613.34,  -171564.30,  4983154.23,      50.532955,       -0.541750,  106783.08,  192614.49,       0.00,             1872.27,  -129.78,      0.00,           57934.02,      1.50,      0.49,           1.69,  +4.47,  +3.05
  1,     UK002W,       0,  0.067737, 2459442.592951687984,  39.41953,   6.54338,              125.58863,  32.54136,       125.58437,       32.53848,     39.41953,      +6.54338,      39.42440,       +6.54274,  4126032.80,  -172352.87,  4981337.06,      50.526476,       -0.553184,  105032.42,  191448.71,    2064.22,             3936.49,  -294.13,  51353.80,           57934.02,     14.61,      4.77,          16.56,  +1.71,  +0.30
  2,     UK002W,       0,  0.107953, 2459442.592952153180,  39.30951,   5.95063,              126.05714,  32.08690,       126.03217,       32.07002,     39.30951,      +5.95063,      39.33691,       +5.94683,  4125356.15,  -173271.98,  4979219.08,      50.518918,       -0.566487,  102992.19,  190110.67,    4470.14,             6342.42,  -117.88,  59825.04,           57934.02,     85.35,     27.94,          97.44,  +0.92,  -0.48
  3,     UK002W,       0,  0.148209, 2459442.592952619307,  39.23036,   5.32193,              126.51134,  31.58433,       126.49820,       31.57548,     39.23036,      +5.32193,      39.24517,       +5.31993,  4124654.39,  -174225.20,  4977022.52,      50.511074,       -0.580281,  100876.51,  188745.76,    6965.33,             8837.60,   145.42,  61983.04,           57934.02,     44.68,     14.61,          51.37,  +0.78,  -0.60
  4,     UK002W,       0,  0.188461, 2459442.592953084968,  39.16966,   4.72601,              126.92306,  31.09944,       126.93411,       31.10685,     39.16966,      +4.72601,      39.15850,       +4.72770,  4124000.55,  -175113.33,  4974975.92,      50.503759,       -0.593150,   98905.50,  187494.55,    9290.16,            11162.44,   238.58,  57756.90,           58366.71,    -37.41,    -12.22,          43.29,  +2.25,  +0.89
  0,     UK0038,       1,  0.000000, 2459442.592950903811,  39.88578,   7.69206,              124.40098,  33.29065,       124.44980,       33.32397,     39.88578,      +7.69206,      39.83314,       +7.69932,  4127143.80,  -170843.77,  4984814.61,      50.538871,       -0.531344,  108382.82,  193313.25,       0.00,               13.83,  -461.28,      0.00,           59385.16,   -169.28,    -54.14,         189.63,  +5.71,  +4.28
  1,     UK0038,       0,  0.040488, 2459442.592951372266,  39.75863,   7.08373,              124.90565,  32.83559,       124.91918,       32.84479,     39.75863,      +7.08373,      39.74420,       +7.08575,  4126430.65,  -171812.46,  4982582.37,      50.530917,       -0.545349,  106232.13,  191859.69,    2535.71,             2521.88,  -197.99,  62628.62,           59385.16,    -46.62,    -14.95,          52.64,  +2.05,  +0.64
  2,     UK0038,       0,  0.080972, 2459442.592951841187,  39.65350,   6.48817,              125.37548,  32.37848,       125.37196,       32.37609,     39.65350,      +6.48817,      39.65764,       +6.48765,  4125745.65,  -172742.91,  4980438.25,      50.523269,       -0.558813,  104166.58,  190484.63,    4971.32,             4957.49,    -6.90,  60162.47,           59385.16,     12.06,      3.87,          13.72,  +1.39,  -0.01
  3,     UK0038,       0,  0.121424, 2459442.592952309176,  39.58023,   5.93227,              125.78487,  31.93778,       125.78807,       31.93994,     39.58023,      +5.93227,      39.57729,       +5.93275,  4125118.78,  -173594.41,  4978476.09,      50.516266,       -0.571152,  102276.53,  189244.40,    7200.25,             7186.42,   -20.74,  55100.43,           59385.16,    -10.91,     -3.50,          12.48,  +1.03,  -0.36
  4,     UK0038,       0,  0.161884, 2459442.592952777632,  39.50636,   5.36917,              126.19538,  31.48997,       126.20553,       31.49680,     39.50636,      +5.36917,      39.49607,       +5.37069,  4124492.03,  -174445.73,  4976514.32,      50.509258,       -0.583492,  100387.06,  188022.75,    9428.72,             9414.89,   -35.47,  55078.35,           58121.77,    -34.46,    -11.06,          39.70,  +1.22,  -0.15
  5,     UK0038,       0,  0.202312, 2459442.592953245156,  39.41725,   4.84409,              126.59511,  31.08143,       126.59345,       31.08032,     39.41725,      +4.84409,      39.41988,       +4.84384,  4123911.80,  -175233.88,  4974698.14,      50.502766,       -0.594931,   98637.98,  186907.84,   11491.81,            11477.98,  -213.80,  51031.36,           56748.89,      5.60,      1.80,           6.49,  +2.26,  +0.90
  6,     UK0038,       1,  0.242756, 2459442.592953713611,  39.37772,   4.30374,              126.95064,  30.63379,       126.98397,       30.65612,     39.37772,      +4.30374,      39.34263,       +4.30873,  4123329.43,  -176024.93,  4972875.25,      50.496245,       -0.606416,   96882.62,  185805.24,   13562.52,            13548.69,  -385.41,  51199.41,           55664.05,   -112.24,    -35.98,         130.84,  +5.69,  +4.34

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.