Orbital Analysis for matched events on 20210813_230611.215_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.64° Bg 35.96° Vg 58.82km/s
mass 0.02492g, abs. mag -0.5
Path Details
------------
start -4.16° 50.39° 108.72km
end   -4.29° 50.29° 99.37km

Orbit Details
-------------
Semimajor axis 5.67A.U., eccentricity 0.84, inclination 116.05°, Period 13.51Y, LA Sun 141.11°, last Perihelion 2021-07-20

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: 2459440.462629807647
Time: 2021-08-13 23:06:11.252315 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0024
 Convergence angle = 16.41074 deg
 R.A. =  50.23278  Dec = +57.10609 deg
Intersection 2 - Stations: UK000H and UK003E
 Convergence angle = 11.95355 deg
 R.A. =  48.32896  Dec = +59.85866 deg
Intersection 3 - Stations: UK0024 and UK003E
 Convergence angle = 4.51311 deg
 R.A. =  57.29057  Dec = +50.59030 deg

Best intersection: Stations UK000H and UK0024 with Qconv = 16.41 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2376530.35 +/- 39.13 m
 Y =  -3394623.58 +/- 147.94 m
 Z =   4975274.50 +/- 63.61 m
 Vx =    20640.08 +/- 297.69 m/s
 Vy =    25774.91 +/- 1008.73 m/s
 Vz =    49920.85 +/- 731.59 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.602570e+03, +4.937322e+03, -1.687858e+03, +9.428301e+03, +2.716404e+04, -6.808535e+03
+4.937322e+03, +2.307663e+04, -8.415889e+03, +3.495045e+04, +1.319638e+05, -2.998506e+04
-1.687858e+03, -8.415889e+03, +4.293169e+03, -1.488900e+04, -5.507194e+04, +1.238371e+04
+9.428301e+03, +3.495045e+04, -1.488900e+04, +8.410286e+04, +2.705504e+05, -6.118752e+04
+2.716404e+04, +1.319638e+05, -5.507194e+04, +2.705504e+05, +1.017850e+06, -2.181743e+05
-6.808535e+03, -2.998506e+04, +1.238371e+04, -6.118752e+04, -2.181743e+05, +4.812674e+04

Timing offsets (from input data):
    UK000H: 0.000184 s
    UK0024: 0.000000 s
    UK003E: 0.000351 s

Reference point on the trajectory:
  Time: 2021-08-13 23:06:11.252315 UTC
  Lon     = +-4.150396 +/- 0.0016 deg
  Lat     = +50.395513 +/- 0.0004 deg
  Lat geo = +50.209571 +/- 0.0004 deg
  Ht      =  109392.33 +/- 110.69 m

  JD dynamic   = 2459440.463430976029 
  LST apparent = 304.9953487022 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.31288 +/- 0.8314 deg
  Dec       = +56.51701 +/- 0.8712 deg
  Azimuth   =  39.11685 +/- 0.4722 deg
  Elevation = +32.94221 +/- 0.8931 deg
  Vavg      =  59.27606 +/- 0.3285 km/s
  Vinit     =  59.85357 +/- 0.3048 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  51.16685 +/- 0.8314 deg
  Dec       = +56.28600 +/- 0.8712 deg
  Azimuth   =  39.38326 +/- 0.4722 deg
  Elevation = +32.84295 +/- 0.8931 deg
  Vavg      =  59.43660 +/- 0.3285 km/s
  Vinit     =  60.01411 +/- 0.3048 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.61149 +/- 0.8118 deg
  Dec    = +56.06762 +/- 0.8794 deg
  Vg     =  58.81609 +/- 0.3103 km/s
  Vinf   =  59.85357 +/- 0.3048 km/s
  Zc     =  57.20214 +/- 0.8921 deg
  Zg     =  57.74837 +/- 0.8967 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.64304 +/- 0.1932 deg
  Bg     = +35.95925 +/- 0.9672 deg
  Vh     =  39.93736 +/- 0.1436 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.76605 +/- 0.6855 deg
  Bh     = +59.85939 +/- 1.4362 deg
  Vh_x   =  -2.17758 +/- 0.2847 km/s
  Vh_y   = -19.93492 +/- 0.8140 km/s
  Vh_z   = -34.53765 +/- 0.5826 km/s
Orbit:
  La Sun = 141.112924 +/- 0.0000 deg
  a      =   5.672419 +/- 0.5816 AU
  e      =   0.835807 +/- 0.0116
  i      = 116.051780 +/- 1.4211 deg
  peri   = 145.370638 +/- 1.3433 deg
  node   = 141.111340 +/- 0.0001 deg
  Pi     = 286.481978 +/- 1.3434 deg
  q      =   0.931369 +/- 0.0053 AU
  f      =  34.625242 +/- 1.3432 deg
  M      =   1.800080 +/- 0.2211 deg
  Q      =  10.413468 +/- 1.1584 AU
  n      =   0.072954 +/- 0.0075 deg/day
  T      =  13.509929 +/- 2.2671 years
  Last perihelion JD = 2459415.789399 (2021-07-20 06:56:44.040197) +/- 0.9242 days
  Tj     =   0.414002 +/- 0.0446
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.360617e-04, +5.694149e-05, +1.023851e-02, +2.189090e-08, +2.564788e-04, -2.870313e-04
q   , +5.694149e-05, +2.912110e-05, +5.056486e-03, +1.006440e-08, +1.286989e-04, -1.317262e-04
Tp  , +1.023851e-02, +5.056486e-03, +8.832998e-01, +1.776794e-06, +2.242211e-02, -2.326749e-02
node, +2.189090e-08, +1.006440e-08, +1.776794e-06, +3.743198e-12, +4.486426e-08, -4.899561e-08
peri, +2.564788e-04, +1.286989e-04, +2.242211e-02, +4.486426e-08, +5.698606e-04, -5.874035e-04
i   , -2.870313e-04, -1.317262e-04, -2.326749e-02, -4.899561e-08, -5.874035e-04, +6.414173e-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: UK0024
  Avg. res. = 1.873e-06 s
  Stddev    = 1.37e-03 s

Begin point on the trajectory:
  Lon =    -4.159414 +/- 0.0016 deg
  Lat =    50.388424 +/- 0.0006 deg
  Ht  = 108722.57 +/- 72.13 m
End point on the trajectory:
  Lon =    -4.286672 +/- 0.0019 deg
  Lat =    50.289020 +/- 0.0005 deg
  Ht  = 99370.16 +/- 116.84 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   107622.36,    99681.81,          0.011026,      7.71,     40.26,             105.36, 0.9298,    True,    True, {"ff_name": "FF_UK000H_20210813_230608_154_0266752.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   108385.92,    99370.16,          0.016364,     19.55,     38.07,              95.55, 0.9906,    True,    True, {"ff_name": "FF_UK0024_20210813_230604_793_0260352.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   108722.57,    99613.80,          0.014215,     22.59,     53.23,             112.96, 0.8479,    True,    True, {"ff_name": "FF_UK003E_20210813_230604_551_0264448.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,     UK000H,       0,  0.068192, 2459440.462630594615, 248.91152,  13.53775,              253.41884,  30.17344,       253.42649,       30.16987,    248.91152,     +13.53775,     248.90420,      +13.53907,  2375407.59, -3396025.67,  4972558.94,      50.376769,       -4.174359,  107622.36,  209102.91,       0.00,             3255.88,    -0.64,      0.00,           59722.44,     26.93,     -5.17,          27.05,  +2.66,  +1.06
  1,     UK000H,       0,  0.108744, 2459440.462631064001, 248.78815,  12.90521,              253.07441,  29.60304,       253.07647,       29.60208,    248.78815,     +12.90521,     248.78655,      +12.90557,  2374551.59, -3397094.61,  4970488.60,      50.362469,       -4.192694,  106273.70,  209910.47,    2482.27,             5738.15,    54.45,  61212.02,           59722.44,      7.31,     -1.40,           7.31,  +2.08,  +0.47
  2,     UK000H,       0,  0.149264, 2459440.462631532922, 248.67590,  12.30499,              252.74748,  29.06356,       252.74847,       29.06310,    248.67590,     +12.30499,     248.67554,      +12.30516,  2373734.20, -3398115.35,  4968511.64,      50.348805,       -4.210207,  104986.47,  210706.59,    4852.59,             8108.47,    -0.50,  58497.48,           59722.44,      3.52,     -0.68,           3.51,  +1.71,  +0.09
  3,     UK000H,       0,  0.189796, 2459440.462632002309, 248.56876,  11.69418,              252.41253,  28.51776,       252.41876,       28.51486,    248.56876,     +11.69418,     248.56334,      +11.69526,  2372897.47, -3399160.25,  4966487.87,      50.334809,       -4.228128,  103669.38,  211545.88,    7279.02,            10534.90,    -0.05,  59864.67,           59722.44,     22.44,     -4.31,          22.28,  +1.95,  +0.32
  4,     UK000H,       0,  0.230360, 2459440.462632471696, 248.43841,  11.04382,              252.07449,  27.92566,       252.06984,       27.92782,    248.43841,     +11.04382,     248.44402,      +11.04302,  2371995.13, -3400287.08,  4964305.44,      50.319707,       -4.247437,  102249.74,  212477.69,    9895.69,            13151.58,   188.72,  64507.23,           60653.52,    -16.89,      3.24,          16.70,  +1.37,  -0.27
  5,     UK000H,       0,  0.270820, 2459440.462632940151, 248.31990,  10.51249,              251.81200,  27.43389,       251.78680,       27.44558,    248.31990,     +10.51249,     248.34630,      +10.50811,  2371249.25, -3401218.51,  4962501.44,      50.307216,       -4.263423,  101076.80,  213270.91,   12058.63,            15314.51,   -70.02,  53458.65,           59893.65,    -92.25,     17.65,          90.84,  +1.29,  -0.35
  6,     UK000H,       0,  0.311364, 2459440.462633409072, 248.22079,   9.87860,              251.46531,  26.87160,       251.45571,       26.87604,    248.22079,      +9.87860,     248.23173,       +9.87693,  2370361.75, -3402326.80,  4960354.90,      50.292344,       -4.282410,   99681.81,  214237.64,   14632.26,            17888.14,    76.91,  63477.53,           60006.18,    -35.43,      6.79,          34.73,  +2.12,  +0.47
  0,     UK0024,       1,  0.000000, 2459440.462629807647, 267.90707,  19.71896,              238.29501,  46.71675,       238.20347,       46.73397,    267.90707,     +19.71896,     267.97227,      +19.69735,  2376534.30, -3394618.65,  4975284.04,      50.395579,       -4.150158,  109398.55,  149023.07,       0.00,               11.44,   836.43,      0.00,           53764.11,   -150.60,     77.25,         234.27,  +6.61,  +5.74
  1,     UK0024,       0,  0.040480, 2459440.462630276103, 267.68097,  19.04098,              237.99111,  46.03764,       237.93778,       46.04765,    267.68097,     +19.04098,     267.71942,      +19.02830,  2375892.03, -3395420.70,  4973730.63,      50.384859,       -4.163961,  108385.92,  149293.93,    1862.49,             1851.05,   253.17,  46010.21,           53764.11,    -88.88,     45.64,         138.04,  +2.81,  +1.94
  2,     UK0024,       0,  0.081016, 2459440.462630745489, 267.43665,  18.28507,              237.65497,  45.28279,       237.64948,       45.28382,    267.43665,     +18.28507,     267.44096,      +18.28375,  2375174.70, -3396316.49,  4971995.67,      50.372879,       -4.179356,  107255.37,  149622.64,    3942.66,             3931.22,   -92.89,  51316.46,           53764.11,     -9.28,      4.77,          14.39,  +1.61,  +0.74
  3,     UK0024,       0,  0.121720, 2459440.462631216273, 267.07772,  17.35101,              237.31856,  44.31726,       237.29624,       44.32144,    267.07772,     +17.35101,     267.09457,      +17.34560,  2374266.43, -3397450.71,  4969798.91,      50.357703,       -4.198800,  105824.56,  150077.55,    6576.51,             6565.07,   104.68,  64707.49,           53764.11,    -38.47,     19.77,          59.44,  +1.29,  +0.41
  4,     UK0024,       0,  0.162348, 2459440.462631686591, 266.78792,  16.48370,              236.97212,  43.44162,       236.98326,       43.43954,    266.78792,     +16.48370,     266.78037,      +16.48643,  2373430.11, -3398495.10,  4967776.14,      50.343719,       -4.216714,  104507.73,  150536.71,    9001.74,             8990.30,    98.19,  59693.65,           55967.27,     19.50,    -10.03,          30.05,  +1.22,  +0.33
  5,     UK0024,       0,  0.202944, 2459440.462632156443, 266.49703,  15.69069,              236.69514,  42.62553,       236.70247,       42.62416,    266.49703,     +15.69069,     266.49241,      +15.69250,  2372653.01, -3399465.52,  4965896.63,      50.330719,       -4.233369,  103284.71,  150997.71,   11255.22,            11243.78,   -78.15,  55509.90,           56530.31,     13.04,     -6.70,          20.02,  +1.38,  +0.49
  6,     UK0024,       0,  0.243604, 2459440.462632627226, 266.17932,  14.81232,              236.39500,  41.72220,       236.39979,       41.72131,    266.17932,     +14.81232,     266.17674,      +14.81351,  2371787.23, -3400546.69,  4963802.61,      50.316226,       -4.251902,  101922.75,  151548.53,   13765.89,            13754.45,    -1.13,  61747.77,           57291.22,      8.65,     -4.45,          13.24,  +1.25,  +0.35
  7,     UK0024,       0,  0.284260, 2459440.462633097544, 265.87592,  13.92279,              236.08286,  40.81522,       236.10341,       40.81139,    265.87592,     +13.92279,     265.86148,      +13.92795,  2370908.74, -3401643.74,  4961677.86,      50.301511,       -4.270700,  100541.49,  152147.84,   16313.40,            16301.96,   112.98,  62660.25,           58056.09,     37.83,    -19.45,          57.67,  +1.38,  +0.47
  8,     UK0024,       0,  0.324824, 2459440.462633567397, 265.59947,  13.18071,              235.85609,  40.04508,       235.86061,       40.04424,    265.59947,     +13.18071,     265.59737,      +13.18185,  2370163.43, -3402574.46,  4959875.23,      50.289020,       -4.286672,   99370.16,  152689.06,   18474.70,            18463.26,  -153.63,  53281.07,           58094.84,      8.43,     -4.33,          12.80,  +2.25,  +1.33
  9,     UK0024,       1,  0.365276, 2459440.462634035386, 265.37105,  12.60183,              235.69776,  39.43692,       235.67455,       39.44126,    265.37105,     +12.60183,     265.39048,      +12.59592,  2369574.63, -3403309.74,  4958451.14,      50.279147,       -4.299322,   98445.12,  153138.51,   20182.13,            20170.69,  -867.39,  42208.98,           57251.90,    -43.86,     22.52,          66.40,  +6.27,  +5.34
  0,     UK003E,       0,  0.037289, 2459440.462630235124, 258.48321,   4.04660,              238.05265,  27.70815,       238.05800,       27.70680,    258.48321,      +4.04660,     258.47862,       +4.04797,  2376105.59, -3395154.02,  4974247.14,      50.388424,       -4.159414,  108722.57,  226886.38,       0.00,             1231.77,  -175.11,      0.00,           59943.84,     17.98,     -7.63,          17.75,  +4.19,  +2.41
  1,     UK003E,       0,  0.077845, 2459440.462630704511, 258.30535,   3.45003,              237.86559,  27.10830,       237.86876,       27.10750,    258.30535,      +3.45003,     258.30285,       +3.45085,  2375159.99, -3396334.86,  4971960.09,      50.372634,       -4.179654,  107232.19,  228089.80,    2742.11,             3973.88,   139.58,  67612.91,           59943.84,     10.75,     -4.56,          10.56,  +1.96,  +0.17
  2,     UK003E,       0,  0.118293, 2459440.462631172501, 258.15242,   2.98081,              237.73240,  26.62938,       237.72067,       26.63234,    258.15242,      +2.98081,     258.16339,       +2.97778,  2374403.70, -3397279.30,  4970130.90,      50.359997,       -4.195872,  106040.74,  229073.24,    4935.25,             6167.03,   -88.23,  54221.35,           59943.84,    -40.10,     16.99,          39.21,  +1.76,  -0.04
  3,     UK003E,       0,  0.158769, 2459440.462631640956, 258.02471,   2.45555,              237.54368,  26.11598,       237.55971,       26.11194,    258.02471,      +2.45555,     258.01100,       +2.45972,  2373567.91, -3398323.02,  4968109.42,      50.346024,       -4.213775,  104724.65,  230178.68,    7358.94,             8590.71,   -87.18,  59879.63,           59943.84,     55.26,    -23.45,          53.80,  +1.51,  -0.30
  4,     UK003E,       0,  0.199289, 2459440.462632109877, 257.85734,   1.90491,              237.37926,  25.55984,       237.38959,       25.55725,    257.85734,      +1.90491,     257.84888,       +1.90760,  2372668.19, -3399446.57,  4965933.33,      50.330973,       -4.233030,  103308.59,  231390.62,    9968.01,            11199.78,    96.62,  64389.66,           60636.48,     35.96,    -15.26,          34.82,  +1.45,  -0.37
  5,     UK003E,       0,  0.239757, 2459440.462632578332, 257.69865,   1.41198,              237.24179,  25.05716,       237.23811,       25.05809,    257.69865,      +1.41198,     257.70298,       +1.41102,  2371850.78, -3400467.33,  4963956.33,      50.317290,       -4.250536,  102022.71,  232512.50,   12338.37,            13570.14,    44.83,  58573.72,           60539.82,    -12.93,      5.48,          12.46,  +1.13,  -0.70
  6,     UK003E,       0,  0.280249, 2459440.462633047253, 257.56516,   0.87280,              237.05527,  24.52815,       237.07687,       24.52272,    257.56516,      +0.87280,     257.54675,       +0.87848,  2370965.29, -3401573.11,  4961814.64,      50.302459,       -4.269483,  100630.39,  233748.29,   14906.19,            16137.97,   189.06,  63415.50,           60813.42,     76.57,    -32.49,          73.40,  +1.58,  -0.26
  7,     UK003E,       0,  0.320609, 2459440.462633514311, 257.45765,   0.48558,              236.93317,  24.14199,       236.96153,       24.13487,    257.45765,      +0.48558,     257.43321,       +0.49306,  2370318.49, -3402380.83,  4960250.26,      50.291619,       -4.283365,   99613.80,  234667.08,   16781.84,            18013.61,  -350.99,  46472.82,           59736.48,    101.20,    -42.96,          96.63,  +2.85,  +1.00

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.