Orbital Analysis for matched events on 20210810_024801.176_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 60.66° Bg 34.70° Vg 60.05km/s
mass 0.01808g, abs. mag -0.4
Path Details
------------
start -0.35° 51.05° 108.04km
end   -0.42° 51.03° 97.71km

Orbit Details
-------------
Semimajor axis 7.94A.U., eccentricity 0.88, inclination 118.63°, Period 22.36Y, LA Sun 137.42°, last Perihelion 2021-07-17

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: 2459436.616680285893
Time: 2021-08-10 02:48:01.176701 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK0038
 Convergence angle = 17.41358 deg
 R.A. =  48.94986  Dec = +48.46686 deg

Best intersection: Stations UK002C and UK0038 with Qconv = 17.41 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4085833.87 +/- 144.29 m
 Y =     32821.59 +/- 201.66 m
 Z =   5020835.30 +/- 99.73 m
 Vx =    24518.81 +/- 1134.35 m/s
 Vy =    26237.08 +/- 1350.06 m/s
 Vz =    49387.96 +/- 1938.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.527194e+04, +2.091908e+04, +1.286232e+04, +8.118819e+04, +1.064459e+05, +5.774456e+04
+2.091908e+04, +2.867750e+04, +1.768304e+04, +1.102757e+05, +1.452709e+05, +7.866826e+04
+1.286232e+04, +1.768304e+04, +1.101338e+04, +6.576957e+04, +8.815368e+04, +4.743585e+04
+8.118819e+04, +1.102757e+05, +6.576957e+04, +4.693139e+05, +5.875218e+05, +3.242906e+05
+1.064459e+05, +1.452709e+05, +8.815368e+04, +5.875218e+05, +7.543487e+05, +4.124158e+05
+5.774456e+04, +7.866826e+04, +4.743585e+04, +3.242906e+05, +4.124158e+05, +2.262852e+05

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK002B: 0.000000 s
    UK002C: 0.000348 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:48:01.176701 UTC
  Lon     = +-0.352855 +/- 0.0028 deg
  Lat     = +51.046378 +/- 0.0005 deg
  Lat geo = +50.861235 +/- 0.0005 deg
  Ht      =  108029.89 +/- 167.40 m

  JD dynamic   = 2459436.617481026798 
  LST apparent = 0.4602483437 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.93893 +/- 0.3385 deg
  Dec       = +53.97879 +/- 0.8810 deg
  Azimuth   =  65.58654 +/- 1.7189 deg
  Elevation = +62.07577 +/- 0.3809 deg
  Vavg      =  59.76568 +/- 1.5857 km/s
  Vinit     =  61.06330 +/- 1.6867 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.26434 +/- 0.3385 deg
  Dec       = +53.81473 +/- 0.8810 deg
  Azimuth   =  65.83097 +/- 1.7189 deg
  Elevation = +61.85109 +/- 0.3809 deg
  Vavg      =  59.89333 +/- 1.5857 km/s
  Vinit     =  61.19095 +/- 1.6867 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.93841 +/- 0.3307 deg
  Dec    = +53.84288 +/- 0.8842 deg
  Vg     =  60.04647 +/- 1.7124 km/s
  Vinf   =  61.06330 +/- 1.6867 km/s
  Zc     =  28.00122 +/- 0.3765 deg
  Zg     =  28.24111 +/- 0.3691 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.65864 +/- 0.3287 deg
  Bg     = +34.70340 +/- 0.8645 deg
  Vh     =  40.47795 +/- 1.1917 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  77.97870 +/- 1.6712 deg
  Bh     = +57.62798 +/- 1.8917 deg
  Vh_x   =  -4.51384 +/- 1.1808 km/s
  Vh_y   = -21.19721 +/- 1.5892 km/s
  Vh_z   = -34.18725 +/- 0.1338 km/s
Orbit:
  La Sun = 137.421081 +/- 0.0000 deg
  a      =   7.937019 +/- 323.0204 AU
  e      =   0.882373 +/- 0.1090
  i      = 118.629753 +/- 2.1852 deg
  peri   = 146.239922 +/- 1.8446 deg
  node   = 137.420889 +/- 0.0002 deg
  Pi     = 283.660810 +/- 1.8445 deg
  q      =   0.933611 +/- 0.0053 AU
  f      =  33.756335 +/- 1.8447 deg
  M      =   1.049578 +/- nan deg
  Q      =  14.940428 +/- 646.0426 AU
  n      =   0.044078 +/- 0.0488 deg/day
  T      =  22.360773 +/- 399993945.3581 years
  Last perihelion JD = 2459412.805424 (2021-07-17 07:19:48.651073) +/- 0.9347 days
  Tj     =   0.098823 +/- 0.6568
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.730848e-03, +1.884342e-04, +7.084677e-02, -1.159112e-07, +1.316667e-03, +1.519169e-03
q   , +1.884342e-04, +1.087080e-05, +3.778643e-03, -5.879898e-09, +7.196749e-05, +7.723226e-05
Tp  , +7.084677e-02, +3.778643e-03, +1.375006e+00, -2.204875e-06, +2.581205e-02, +2.892273e-02
node, -1.159112e-07, -5.879898e-09, -2.204875e-06, +3.601650e-12, -4.100987e-08, -4.720755e-08
peri, +1.316667e-03, +7.196749e-05, +2.581205e-02, -4.100987e-08, +4.867468e-04, +5.381686e-04
i   , +1.519169e-03, +7.723226e-05, +2.892273e-02, -4.720755e-08, +5.381686e-04, +6.187798e-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. = 5.319e-06 s
  Stddev    = 2.31e-03 s

Begin point on the trajectory:
  Lon =    -0.352760 +/- 0.0027 deg
  Lat =    51.046405 +/- 0.0005 deg
  Ht  = 108043.96 +/- 155.27 m
End point on the trajectory:
  Lon =    -0.423640 +/- 0.0019 deg
  Lat =    51.026337 +/- 0.0006 deg
  Ht  = 97709.08 +/- 117.17 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
    UK0001,    True,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   110318.95,    94321.36,          0.166074,       nan,       nan,              14.17, 0.0000,    True,    True, {"ff_name": "FF_UK0001_20210810_024759_525_0586752.fits"}
    UK002B,    True,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   110782.64,    91800.75,          0.271651,       nan,       nan,               5.46, 0.0000,    True,    True, {"ff_name": "FF_UK002B_20210810_024800_119_0589824.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,  27.556809,   0.000000,   106619.18,    97847.93,          0.012850,     12.45,     30.64,              26.14, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210810_024751_656_0583168.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   2.188277,  26.165027,   108043.96,    97709.08,          0.011392,      5.47,     34.67,              31.12, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_024800_478_0579584.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,     UK0001,       1, -0.033218, 2459436.616679901257,  62.33796,  40.76929,               77.63541,  46.15772,        77.44812,       46.10588,     62.33796,     +40.76929,      62.49312,      +40.84490,  4086874.07,    33934.68,  5022930.55,      51.050807,       -0.337230,  110318.95,  151868.98,       0.00,             2590.57,  4848.45,     -0.00,           64971.03,    340.01,   -147.10,         503.16,  +5.47,  +4.56
  1,     UK0001,       1,  0.007026, 2459436.616680367384,  62.56351,  40.50987,               77.79549,  45.86749,        77.61109,       45.81652,     62.56351,     +40.50987,      62.71673,      +40.58436,  4085734.98,    32715.77,  5020636.10,      51.045956,       -0.354357,  107812.25,  149146.70,    2836.86,              246.29,    46.74,  70491.62,           64971.03,    330.14,   -142.92,         497.52,  +2.48,  +1.61
  2,     UK0001,       1,  0.047226, 2459436.616680832580,  62.75389,  40.29711,               77.92086,  45.62536,        77.74485,       45.57679,     62.75389,     +40.29711,      62.90052,      +40.36828,  4084819.94,    31736.61,  5018792.96,      51.042055,       -0.368156,  105798.79,  146961.59,    5115.73,             2525.15,  -129.14,  56688.13,           64971.03,    311.55,   -135.03,         476.58,  +1.41,  +0.57
  3,     UK0001,       1,  0.087478, 2459436.616681298241,  62.97415,  40.01080,               78.10924,  45.32062,        77.91565,       45.26716,     62.97415,     +40.01080,      63.13601,      +40.08906,  4083680.83,    30517.67,  5016498.46,      51.037193,       -0.385301,  103292.50,  144247.63,    7952.65,             5362.07,   249.85,  70478.93,           64971.03,    338.05,   -146.26,         526.70,  +1.02,  +0.22
  4,     UK0001,       1,  0.127730, 2459436.616681764368,  63.18811,  39.72290,               78.29984,  45.01764,        78.08422,       44.95802,     63.18811,     +39.72290,      63.36900,      +39.81002,  4082585.13,    29345.18,  5014291.39,      51.032510,       -0.401809,  100881.95,  141641.50,   10681.47,             8090.89,   520.75,  67793.39,           65810.92,    371.63,   -160.42,         589.46,  +0.97,  +0.21
  5,     UK0001,       1,  0.167938, 2459436.616682229564,  63.35846,  39.47278,               78.47259,  44.76306,        78.22630,       44.69481,     63.35846,     +39.47278,      63.56572,      +39.57221,  4081681.58,    28378.31,  5012471.38,      51.028644,       -0.415457,   98894.30,  139494.65,   12931.73,            10341.15,   315.78,  55965.53,           64645.26,    420.03,   -180.73,         676.14,  +1.25,  +0.53
  6,     UK0001,       1,  0.208170, 2459436.616682695225,  63.55950,  39.21290,               78.63363,  44.48275,        78.37752,       44.41178,     63.55950,     +39.21290,      63.77562,      +39.31630,  4080741.12,    27371.94,  5010577.03,      51.024616,       -0.429662,   96825.63,  137264.13,   15273.91,            12683.34,   201.26,  58216.88,           63540.15,    431.66,   -185.58,         706.05,  +1.66,  +0.97
  7,     UK0001,       1,  0.248458, 2459436.616683161352,  63.81067,  38.88583,               78.83342,  44.12978,        78.56552,       44.05555,     63.81067,     +38.88583,      64.03745,      +38.99401,  4079602.51,    26153.54,  5008283.54,      51.019734,       -0.446835,   94321.36,  134570.71,   18109.58,            15519.01,   576.82,  70385.04,           63650.87,    445.06,   -191.17,         742.44,  +3.57,  +2.93
  0,     UK002B,       1, -0.062494, 2459436.616679562721,  55.84075,  49.17608,               70.04799,  54.60254,        69.71242,       54.53241,     55.84075,     +49.17608,      56.06244,      +49.32364,  4087084.76,    34160.14,  5023354.95,      51.051704,       -0.333972,  110782.64,  135411.00,       0.00,             3115.29,  7160.85,     -0.00,           63518.48,    416.53,   -255.67,         744.47,  +4.70,  +4.04
  1,     UK002B,       1, -0.022394, 2459436.616680026520,  56.00387,  49.12510,               70.05074,  54.48430,        69.77189,       54.42689,     56.00387,     +49.12510,      56.18750,      +49.24820,  4086238.87,    33254.97,  5021651.08,      51.048103,       -0.346731,  108921.10,  133315.33,    2106.66,             1008.63,  2605.55,  52535.16,           63518.48,    339.95,   -211.06,         619.09,  +3.58,  +2.96
  2,     UK002B,       1,  0.017722, 2459436.616680490784,  56.14837,  49.00355,               70.17156,  54.34720,        69.85367,       54.28125,     56.14837,     +49.00355,      56.35928,      +49.14377,  4085123.61,    32061.56,  5019404.63,      51.043350,       -0.363508,  106466.98,  130555.14,    4884.17,             1768.88,   916.18,  69237.02,           63518.48,    381.64,   -235.52,         708.53,  +2.32,  +1.74
  3,     UK002B,       1,  0.057830, 2459436.616680955049,  56.26015,  48.86085,               70.33937,  54.22009,        69.93530,       54.13474,     56.26015,     +48.86085,      56.53130,      +49.03850,  4084046.66,    30909.13,  5017235.33,      51.038755,       -0.379724,  104097.38,  127890.43,    7566.30,             4451.00,  1149.18,  66872.53,           63518.48,    479.45,   -291.67,         905.12,  +1.61,  +1.08
  4,     UK002B,       1,  0.097966, 2459436.616681419779,  56.44693,  48.74413,               70.42944,  54.05892,        70.02444,       53.97353,     56.44693,     +48.74413,      56.71963,      +48.92242,  4082913.37,    29696.42,  5014952.57,      51.033914,       -0.396788,  101604.09,  125087.72,   10388.71,             7273.41,  1520.75,  70321.17,           65405.95,    471.38,   -287.13,         910.14,  +1.41,  +0.92
  5,     UK002B,       1,  0.138102, 2459436.616681884509,  56.61327,  48.59923,               70.57096,  53.89726,        70.11896,       53.80119,     56.61327,     +48.59923,      56.91991,      +48.79803,  4081756.51,    28458.49,  5012622.31,      51.028965,       -0.414214,   99059.18,  122228.00,   13269.84,            10154.54,  1951.05,  71784.23,           66856.73,    517.29,   -313.00,        1020.31,  +1.25,  +0.81
  6,     UK002B,       1,  0.178262, 2459436.616682349239,  56.80462,  48.42300,               70.74589,  53.70633,        70.23072,       53.59563,     56.80462,     +48.42300,      57.15731,      +48.64924,  4080448.27,    27058.57,  5009987.15,      51.023361,       -0.433910,   96181.62,  118996.51,   16527.95,            13412.66,  2756.86,  81128.33,           68905.53,    578.50,   -346.92,        1169.24,  +1.61,  +1.23
  7,     UK002B,       1,  0.218386, 2459436.616682813503,  56.95804,  48.30143,               70.85439,  53.56131,        70.31201,       53.44435,     56.95804,     +48.30143,      57.33119,      +48.53959,  4079521.41,    26066.75,  5008120.17,      51.019386,       -0.447920,   94143.09,  116706.15,   18836.28,            15720.99,  2615.09,  57529.93,           68810.78,    599.91,   -358.66,        1235.32,  +2.19,  +1.85
  8,     UK002B,       1,  0.258538, 2459436.616683278233,  57.15886,  48.16508,               70.96010,  53.38096,        70.40918,       53.26224,     57.15886,     +48.16508,      57.53934,      +48.40725,  4078456.31,    24927.01,  5005974.76,      51.014812,       -0.464004,   91800.75,  114076.36,   21488.87,            18373.58,  2815.86,  66063.74,           68583.31,    597.76,   -357.52,        1259.40,  +3.16,  +2.87
  0,     UK002C,       0,  0.031302, 2459436.616680643056,  47.03515,  23.94222,              108.24263,  44.32281,       108.26242,       44.33484,     47.03515,     +23.94222,      47.01496,      +23.94219,  4085192.79,    32135.58,  5019543.97,      51.043645,       -0.362533,  106619.18,  151087.87,       0.00,             1596.60,   -85.32,      0.00,           62200.56,    -45.38,    -18.43,          66.87,  +0.79,  -0.11
  1,     UK002C,       0,  0.071574, 2459436.616681109183,  47.01450,  23.48295,              108.67690,  43.98487,       108.67919,       43.98625,     47.01450,     +23.48295,      47.01245,      +23.48295,  4084231.88,    31107.33,  5017608.42,      51.039546,       -0.377019,  104504.88,  149012.92,    2393.12,             3989.72,  -151.35,  59423.91,           62200.56,     -5.18,     -2.11,           7.74,  +0.42,  -0.45
  2,     UK002C,       0,  0.111890, 2459436.616681575775,  47.01516,  22.96655,              109.13617,  43.58896,       109.14171,       43.59230,     47.01516,     +22.96655,      47.00996,      +22.96654,  4083182.55,    29984.47,  5015494.77,      51.035064,       -0.392831,  102196.23,  146759.04,    5006.44,             6603.03,     0.14,  64820.86,           62200.56,    -12.39,     -5.04,          18.80,  +0.02,  -0.81
  3,     UK002C,       0,  0.152206, 2459436.616682042368,  47.02946,  22.46203,              109.56571,  43.19236,       109.58796,       43.20571,     47.02946,     +22.46203,      47.00737,      +22.46199,  4082187.31,    28919.48,  5013490.06,      51.030808,       -0.407843,  100006.78,  144632.25,    7485.05,             9081.65,    16.93,  61479.74,           62200.56,    -49.13,    -19.96,          75.63,  +0.48,  -0.32
  4,     UK002C,       0,  0.192510, 2459436.616682508960,  47.00684,  21.94976,              110.03242,  42.80980,       110.03529,       42.81152,     47.00684,     +21.94976,      47.00471,      +21.94976,  4081205.89,    27869.28,  5011513.21,      51.026607,       -0.422657,   97847.93,  142546.19,    9929.24,            11525.84,     0.02,  60643.75,           61904.42,     -6.26,     -2.55,           9.79,  +2.24,  +1.47
  5,     UK002C,       1,  0.232854, 2459436.616682976019,  47.02158,  21.40624,              110.48348,  42.37928,       110.50366,       42.39128,     47.02158,     +21.40624,      47.00201,      +21.40621,  4080194.94,    26787.49,  5009476.86,      51.022275,       -0.437919,   95624.31,  140409.86,   12446.98,            14043.58,    54.22,  62406.76,           61891.65,    -43.42,    -17.66,          68.86,  +3.86,  +3.12
  0,     UK0038,       0,  0.000000, 2459436.616680285893,  55.77530,  19.84373,              103.11618,  35.59774,       103.10497,       35.59222,     55.77530,     +19.84373,      55.78648,      +19.84541,  4085840.27,    32828.44,  5020848.19,      51.046405,       -0.352760,  108043.96,  182431.85,       0.00,               15.94,   245.40,      0.00,           59404.69,     33.49,      5.30,          38.33,  +2.65,  +1.34
  1,     UK0038,       0,  0.040356, 2459436.616680752952,  55.84384,  19.43801,              103.37697,  35.24615,       103.36733,       35.24142,     55.84384,     +19.43801,      55.85363,      +19.43946,  4084926.33,    31850.45,  5019007.24,      51.042509,       -0.366542,  106032.87,  180558.10,    2276.15,             2260.21,    25.40,  56401.79,           59404.69,     28.60,      4.52,          33.07,  +0.98,  -0.30
  2,     UK0038,       0,  0.080748, 2459436.616681220476,  55.92281,  18.99557,              103.65468,  34.85934,       103.65112,       34.85759,     55.92281,     +18.99557,      55.92671,      +18.99610,  4083949.56,    30805.23,  5017039.75,      51.038341,       -0.381267,  103883.72,  178566.67,    4708.76,             4692.82,    -8.46,  60225.13,           59404.69,     10.49,      1.66,          12.27,  +0.45,  -0.81
  3,     UK0038,       0,  0.121156, 2459436.616681688000,  56.00675,  18.53502,              103.93905,  34.45473,       103.94386,       34.45709,     56.00675,     +18.53502,      56.00245,      +18.53430,  4082954.81,    29740.77,  5015036.04,      51.034091,       -0.396267,  101695.22,  176550.27,    7186.14,             7170.20,     1.48,  61309.15,           59404.69,    -14.05,     -2.22,          16.62,  +0.43,  -0.80
  4,     UK0038,       0,  0.161532, 2459436.616682155523,  56.09497,  18.10927,              104.18972,  34.07347,       104.21320,       34.08493,     56.09497,     +18.10927,      56.07219,      +18.10572,  4082051.35,    28773.99,  5013216.21,      51.030227,       -0.409913,   99707.70,  174728.43,    9436.19,             9420.24,  -213.97,  55727.23,           58887.23,    -68.00,    -10.71,          81.26,  +1.29,  +0.08
  5,     UK0038,       0,  0.201920, 2459436.616682623047,  56.14904,  17.66657,              104.48087,  33.69902,       104.48730,       33.70216,     56.14904,     +17.66657,      56.14346,      +17.66560,  4081142.78,    27801.75,  5011386.08,      51.026337,       -0.423640,   97709.08,  172906.62,   11698.97,            11683.02,  -417.42,  56026.06,           58330.63,    -18.47,     -2.92,          22.31,  +2.25,  +1.06

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.