Orbital Analysis for matched events on 20210810_234858.262_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.64° Bg 39.03° Vg 58.59km/s
mass 0.49946g, abs. mag -2.8
Path Details
------------
start -1.99° 53.54° 110.80km
end   -2.27° 53.37° 86.41km

Orbit Details
-------------
Semimajor axis 17.05A.U., eccentricity 0.94, inclination 111.72°, Period 70.41Y, LA Sun 138.26°, 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: 2459437.492341003846
Time: 2021-08-10 23:48:58.263094 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0002 and UK0027
 Convergence angle = 18.90057 deg
 R.A. =  45.95813  Dec = +58.20562 deg

Best intersection: Stations UK0002 and UK0027 with Qconv = 18.90 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2729187.49 +/- 114.43 m
 Y =  -2736280.78 +/- 149.76 m
 Z =   5195326.44 +/- 359.77 m
 Vx =    21184.90 +/- 696.86 m/s
 Vy =    22493.38 +/- 257.10 m/s
 Vz =    51002.72 +/- 630.15 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.030646e+04, -6.367568e+03, -2.091060e+04, +2.272305e+04, -7.639193e+03, -3.266465e+04
-6.367568e+03, +2.024759e+04, +4.623636e+04, -2.861448e+04, +1.595612e+04, +3.558044e+04
-2.091060e+04, +4.623636e+04, +1.139593e+05, -7.524234e+04, +3.864582e+04, +9.894413e+04
+2.272305e+04, -2.861448e+04, -7.524234e+04, +9.028023e+04, -3.274579e+04, -1.102946e+05
-7.639193e+03, +1.595612e+04, +3.864582e+04, -3.274579e+04, +2.508956e+04, +5.758722e+04
-3.266465e+04, +3.558044e+04, +9.894413e+04, -1.102946e+05, +5.758722e+04, +1.759514e+05

Timing offsets (from input data):
    UK0002: -0.001101 s
    UK0027: -0.000483 s

Reference point on the trajectory:
  Time: 2021-08-10 23:48:58.263094 UTC
  Lon     = +-1.988396 +/- 0.0016 deg
  Lat     = +53.536342 +/- 0.0030 deg
  Lat geo = +53.355367 +/- 0.0030 deg
  Ht      =  110717.97 +/- 201.20 m

  JD dynamic   = 2459437.493141748942 
  LST apparent = 314.9256394246 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.71592 +/- 0.7107 deg
  Dec       = +58.79119 +/- 0.4179 deg
  Azimuth   =  44.81145 +/- 0.7466 deg
  Elevation = +42.70535 +/- 0.0941 deg
  Vavg      =  59.75572 +/- 0.4845 km/s
  Vinit     =  59.63245 +/- 0.4721 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.69974 +/- 0.7107 deg
  Dec       = +58.56028 +/- 0.4179 deg
  Azimuth   =  45.07168 +/- 0.7466 deg
  Elevation = +42.57594 +/- 0.0941 deg
  Vavg      =  59.90216 +/- 0.4845 km/s
  Vinit     =  59.77889 +/- 0.4721 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.98305 +/- 0.7042 deg
  Dec    = +58.44770 +/- 0.4221 deg
  Vg     =  58.59109 +/- 0.4805 km/s
  Vinf   =  59.63245 +/- 0.4721 km/s
  Zc     =  47.42317 +/- 0.0949 deg
  Zg     =  47.86650 +/- 0.0922 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.64343 +/- 0.6298 deg
  Bg     = +39.02623 +/- 0.2741 deg
  Vh     =  41.21228 +/- 0.6206 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.10565 +/- 1.2306 deg
  Bh     = +63.53743 +/- 0.1958 deg
  Vh_x   =  -1.56685 +/- 0.3599 km/s
  Vh_y   = -18.29777 +/- 0.4150 km/s
  Vh_z   = -36.89429 +/- 0.5089 km/s
Orbit:
  La Sun = 138.261305 +/- 0.0000 deg
  a      =  17.050849 +/- 31.6797 AU
  e      =   0.944922 +/- 0.0543
  i      = 111.719435 +/- 0.2299 deg
  peri   = 148.078872 +/- 0.3154 deg
  node   = 138.260376 +/- 0.0000 deg
  Pi     = 286.339248 +/- 0.3154 deg
  q      =   0.939132 +/- 0.0030 AU
  f      =  31.917111 +/- 0.3154 deg
  M      =   0.311514 +/- nan deg
  Q      =  33.162567 +/- 63.3580 AU
  n      =   0.013999 +/- 0.0192 deg/day
  T      =  70.407620 +/- 399999978.4007 years
  Last perihelion JD = 2459415.239924 (2021-07-19 17:45:29.436386) +/- 0.2338 days
  Tj     =  -0.133249 +/- 0.3021
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.330156e-03, -8.144571e-05, +5.212583e-03, +5.282093e-09, -1.027256e-04, -6.976707e-05
q   , -8.144571e-05, +7.142564e-06, -2.305438e-05, -5.396672e-10, +1.468525e-05, +7.120044e-06
Tp  , +5.212583e-03, -2.305438e-05, +6.113616e-02, -8.309331e-09, +7.512156e-04, +1.086456e-04
node, +5.282093e-09, -5.396672e-10, -8.309331e-09, +7.684303e-14, -1.239119e-09, -1.014552e-09
peri, -1.027256e-04, +1.468525e-05, +7.512156e-04, -1.239119e-09, +4.063869e-05, +1.633530e-05
i   , -6.976707e-05, +7.120044e-06, +1.086456e-04, -1.014552e-09, +1.633530e-05, +1.339511e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 32.225436
 a2 = 0.511921

Mean time residuals from time vs. length:
  Station with reference time: UK0002
  Avg. res. = 4.025e-06 s
  Stddev    = 2.01e-03 s

Begin point on the trajectory:
  Lon =    -1.987486 +/- 0.0005 deg
  Lat =    53.536888 +/- 0.0029 deg
  Ht  = 110798.36 +/- 184.37 m
End point on the trajectory:
  Lon =    -2.266657 +/- 0.0014 deg
  Lat =    53.370030 +/- 0.0016 deg
  Ht  = 86409.47 +/- 43.44 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
    UK0002,   False,     0.265820,    50.757180,   60.00,   0.000000,  51.134040,   109276.46,    86409.47,          0.013848,     64.38,     58.39,              65.00, 1.0000,    True,    True, {"ff_name": "FF_UK0002_20210810_234850_761_0330752.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,  21.522894,   1.152067,   110798.36,    88111.81,          0.017655,     72.15,     30.76,              36.47, 1.0000,    True,   False, {"ff_name": "FF_UK0027_20210810_234854_667_0312832.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,     UK0002,       1,  0.000000, 2459437.492341009434, 177.25691,  49.64745,              334.29024,  16.06829,       334.32595,       16.02591,    177.25691,     +49.64745,     177.18120,      +49.62360,  2729059.44, -2736416.75,  5195018.15,      53.534682,       -1.991164,  110473.49,  365495.60,       0.00,              360.46,   394.56,      0.00,           56617.86,    234.03,    257.38,         196.32,  +3.15,  +0.34
  1,     UK0002,       0,  0.040208, 2459437.492341475096, 177.37866,  49.40654,              334.10951,  15.88364,       334.12252,       15.86823,    177.37866,     +49.40654,     177.35135,      +49.39789,  2728432.35, -2737082.57,  5193508.43,      53.526552,       -2.004885,  109276.46,  364738.46,    1765.16,             2125.62,  -237.98,  43900.66,           56617.86,     84.98,     93.58,          71.49,  +1.75,  -1.06
  2,     UK0002,       0,  0.080512, 2459437.492341941223, 177.60113,  49.05782,              333.81881,  15.62980,       333.81794,       15.63082,    177.60113,     +49.05782,     177.60329,      +49.05839,  2727493.97, -2738078.91,  5191249.28,      53.514378,       -2.025334,  107485.68,  363616.15,    4406.56,             4767.02,    -0.01,  65537.06,           56617.86,     -5.64,     -6.21,           4.76,  +0.73,  -2.07
  3,     UK0002,       0,  0.120764, 2459437.492342407349, 177.82822,  48.76110,              333.54730,  15.42514,       333.55034,       15.42155,    177.82822,     +48.76110,     177.82240,      +48.75911,  2726673.05, -2738950.53,  5189272.92,      53.503718,       -2.043244,  105919.52,  362647.96,    6717.33,             7077.79,   -89.57,  57407.42,           56617.86,     19.67,     21.67,          16.64,  +0.69,  -2.11
  4,     UK0002,       0,  0.161040, 2459437.492342873476, 178.07118,  48.43898,              333.25372,  15.20288,       333.26096,       15.19435,    178.07118,     +48.43898,     178.05683,      +48.43427,  2725787.99, -2739890.26,  5187142.12,      53.492218,       -2.062540,  104231.47,  361617.43,    9208.66,             9569.12,     0.01,  61856.56,           58042.30,     46.77,     51.52,          39.69,  +0.51,  -2.28
  5,     UK0002,       0,  0.201324, 2459437.492343339603, 178.22686,  48.11007,              333.01050,  14.95037,       332.98674,       14.97831,    178.22686,     +48.11007,     178.27674,      +48.12542,  2724952.42, -2740777.43,  5185130.49,      53.481352,       -2.080766,  102638.28,  360657.99,   11560.66,            11921.12,   -50.23,  58385.40,           58498.21,   -152.83,   -168.64,         130.16,  +0.15,  -2.64
  6,     UK0002,       0,  0.241588, 2459437.492343805730, 178.51913,  47.80145,              332.69015,  14.75626,       332.69652,       14.74876,    178.51913,     +47.80145,     178.50704,      +47.79735,  2724070.77, -2741713.54,  5183007.90,      53.469878,       -2.099987,  100957.70,  359659.33,   14042.39,            14402.85,    30.46,  61636.49,           58997.21,     40.95,     45.11,          34.94,  +0.07,  -2.71
  7,     UK0002,       0,  0.281864, 2459437.492344271857, 178.72123,  47.47674,              332.41804,  14.52245,       332.41535,       14.52560,    178.72123,     +47.47674,     178.72790,      +47.47845,  2723219.61, -2742617.27,  5180958.75,      53.458792,       -2.118549,   99335.73,  358709.13,   16438.27,            16798.73,    24.59,  59486.53,           59245.89,    -17.20,    -18.95,          14.72,  -0.02,  -2.79
  8,     UK0002,       0,  0.322132, 2459437.492344737984, 178.92623,  47.16323,              332.14828,  14.30032,       332.14188,       14.30783,    178.92623,     +47.16323,     178.94059,      +47.16729,  2722394.55, -2743493.30,  5178972.39,      53.448038,       -2.136547,   97763.92,  357801.19,   18760.71,            19121.18,   -54.25,  57674.70,           59257.19,    -40.86,    -45.04,          35.06,  -0.16,  -2.93
  9,     UK0002,       0,  0.362412, 2459437.492345204111, 179.14650,  46.83282,              331.86040,  14.06829,       331.85301,       14.07694,    179.14650,     +46.83282,     179.16297,      +46.83747,  2721525.53, -2744415.98,  5176880.24,      53.436703,       -2.155494,   96108.86,  356858.54,   21206.86,            21567.32,   -10.10,  60728.52,           59343.22,    -47.03,    -51.84,          40.46,  -0.33,  -3.09
 10,     UK0002,       0,  0.402688, 2459437.492345670238, 179.34773,  46.50681,              331.58570,  13.83532,       331.57187,       13.85147,    179.34773,     +46.50681,     179.37723,      +46.51546,  2720682.60, -2745310.98,  5174850.87,      53.425700,       -2.173877,   94503.93,  355958.09,   23579.60,            23940.06,   -39.11,  58912.11,           59370.54,    -87.70,    -96.69,          75.64,  -0.48,  -3.24
 11,     UK0002,       0,  0.442964, 2459437.492346136365, 179.59876,  46.17361,              331.27504,  13.61175,       331.27464,       13.61222,    179.59876,     +46.17361,     179.60142,      +46.17386,  2719793.95, -2746254.51,  5172711.46,      53.414091,       -2.193247,   92812.48,  355023.31,   26081.01,            26441.47,    60.54,  62106.57,           59491.55,     -2.56,     -2.82,           2.21,  -0.39,  -3.14
 12,     UK0002,       0,  0.483228, 2459437.492346602492, 179.79302,  45.86070,              331.00895,  13.39003,       331.00504,       13.39459,    179.79302,     +45.86070,     179.80283,      +45.86312,  2718990.83, -2747107.25,  5170777.92,      53.403591,       -2.210769,   91284.21,  354192.16,   28341.70,            28702.16,   -79.81,  56146.76,           59454.44,    -24.68,    -27.19,          21.38,  -0.32,  -3.07
 13,     UK0002,       0,  0.523504, 2459437.492347068619, 180.03280,  45.53220,              330.70564,  13.16907,       330.71428,       13.15903,    180.03280,     +45.53220,     180.01788,      +45.52690,  2718126.86, -2748024.57,  5168697.93,      53.392288,       -2.229605,   89640.66,  353311.68,   30773.63,            31134.09,   -49.64,  60381.61,           59457.60,     54.32,     59.80,          47.16,  +0.00,  -2.74
 14,     UK0002,       0,  0.563776, 2459437.492347534746, 180.22828,  45.20520,              330.43069,  12.93659,       330.43475,       12.93188,    180.22828,     +45.20520,     180.22264,      +45.20272,  2717298.92, -2748903.65,  5166704.66,      53.381447,       -2.247663,   88066.08,  352481.90,   33104.17,            33464.63,  -120.62,  57870.00,           59419.97,     25.47,     28.05,          22.17,  +0.11,  -2.63
 15,     UK0002,       0,  0.604068, 2459437.492348000873, 180.42956,  44.85820,              330.14207,  12.68873,       330.13980,       12.69136,    180.42956,     +44.85820,     180.43652,      +44.85957,  2716427.59, -2749828.81,  5164606.92,      53.370030,       -2.266657,   86409.47,  351622.99,   35556.85,            35917.31,   -70.64,  60872.69,           59426.85,    -14.15,    -15.59,          12.35,  +0.18,  -2.55
 16,     UK0002,       1,  0.644228, 2459437.492348466069, 180.68573,  44.65641,              329.88306,  12.58904,       329.93731,       12.52611,    180.68573,     +44.65641,     180.58238,      +44.62368,  2715832.36, -2750460.80,  5163173.91,      53.362226,       -2.279686,   85278.00,  351046.76,   37232.33,            37592.79,  -790.01,  41719.93,           59085.42,    339.30,    372.55,         296.08,  +2.38,  -0.35
  0,     UK0027,       0, -0.000112, 2459437.492341008037, 122.75418,  61.50412,                6.08881,  23.26657,         6.07944,       23.27733,    122.75418,     +61.50412,     122.76891,      +61.51598,  2729229.60, -2736236.08,  5195427.81,      53.536888,       -1.987486,  110798.36,  268394.35,       0.00,              118.52,   159.32,     -0.00,           60426.58,    -25.26,    -59.40,          49.61,  +2.51,  +0.37
  1,     UK0027,       0,  0.040040, 2459437.492341472767, 123.30329,  61.36925,                5.82572,  23.09737,         5.82822,       23.09451,    123.30329,     +61.36925,     123.29950,      +61.36612,  2728402.19, -2737114.59,  5193435.82,      53.526161,       -2.005536,  109218.90,  266507.15,    2329.04,             2210.51,  -143.06,  58005.49,           60426.58,      6.68,     15.68,          13.19,  +1.21,  -0.92
  2,     UK0027,       0,  0.080236, 2459437.492341937963, 123.86637,  61.18076,                5.56060,  22.87558,         5.54836,       22.88958,    123.86637,     +61.18076,     123.88628,      +61.19607,  2727490.58, -2738082.50,  5191241.12,      53.514334,       -2.025406,  107479.22,  264436.29,    4895.08,             4776.56,    26.00,  63838.35,           60426.58,    -32.48,    -76.37,          64.73,  +0.91,  -1.20
  3,     UK0027,       0,  0.120376, 2459437.492342402693, 124.44799,  61.05525,                5.27476,  22.71672,         5.28985,       22.69947,    124.44799,     +61.05525,     124.42418,      +61.03648,  2726659.33, -2738965.09,  5189239.89,      53.503540,       -2.043539,  105893.36,  262555.61,    7234.93,             7116.40,   -27.80,  58292.08,           60426.58,     39.85,     93.38,          79.76,  +0.85,  -1.25
  4,     UK0027,       0,  0.160576, 2459437.492342867889, 124.99563,  60.85330,                5.01390,  22.48546,         5.00864,       22.49145,    124.99563,     +60.85330,     125.00484,      +60.85980,  2725765.21, -2739914.45,  5187087.27,      53.491922,       -2.063030,  104188.03,  260541.16,    9751.77,             9633.25,    91.82,  62608.03,           60763.69,    -13.75,    -32.29,          27.78,  +0.57,  -1.51
  5,     UK0027,       0,  0.200732, 2459437.492343332618, 125.55484,  60.70373,                4.73797,  22.30711,         4.74688,       22.29697,    125.55484,     +60.70373,     125.54112,      +60.69279,  2724943.40, -2740787.01,  5185108.77,      53.481234,       -2.080958,  102621.08,  258697.43,   12065.04,            11946.52,    10.49,  57607.07,           60409.20,     23.14,     54.26,          47.03,  +0.54,  -1.52
  6,     UK0027,       0,  0.240924, 2459437.492343797814, 126.03539,  60.50491,                4.50657,  22.08516,         4.48931,       22.10473,    126.03539,     +60.50491,     126.06478,      +60.52598,  2724144.07, -2741635.72,  5183184.38,      53.470832,       -2.098400,  101097.40,  256911.49,   14315.04,            14196.52,  -136.25,  55981.41,           59807.91,    -44.36,   -104.30,          91.00,  +0.48,  -1.57
  7,     UK0027,       0,  0.281088, 2459437.492344262544, 126.56049,  60.33982,                4.24553,  21.89582,         4.23166,       21.91152,    126.56049,     +60.33982,     126.58461,      +60.35665,  2723353.38, -2742475.24,  5181280.79,      53.460535,       -2.115655,   99590.59,  255152.17,   16540.72,            16422.20,  -305.65,  55414.76,           59191.40,    -35.39,    -83.17,          73.07,  +0.29,  -1.74
  8,     UK0027,       0,  0.321256, 2459437.492344727740, 127.19354,  60.17035,                3.92499,  21.69888,         3.93498,       21.68758,    127.19354,     +60.17035,     127.17824,      +60.15830,  2722452.43, -2743431.84,  5179111.74,      53.448793,       -2.135292,   97874.16,  253156.69,   19076.77,            18958.25,  -164.92,  63136.14,           59166.65,     25.36,     59.41,          52.63,  +0.08,  -1.94
  9,     UK0027,       0,  0.361440, 2459437.492345192470, 127.80849,  59.97912,                3.61310,  21.48306,         3.63417,       21.45928,    127.80849,     +59.97912,     127.77469,      +59.95386,  2721550.35, -2744389.64,  5176939.98,      53.437027,       -2.154953,   96156.11,  251168.61,   21616.00,            21497.47,   -21.97,  63189.88,           59373.56,     53.11,    124.27,         110.98,  +0.07,  -1.93
 10,     UK0027,       0,  0.401668, 2459437.492345658131, 128.34115,  59.72723,                3.34711,  21.21171,         3.33200,       21.22869,    128.34115,     +59.72723,     128.36827,      +59.74519,  2720655.59, -2745339.65,  5174785.86,      53.425347,       -2.174456,   94452.53,  249206.68,   24134.60,            24016.07,    97.74,  62608.14,           59633.68,    -37.58,    -88.29,          79.42,  -0.07,  -2.05
 11,     UK0027,       0,  0.441832, 2459437.492346123327, 128.94661,  59.55834,                3.03231,  21.02218,         3.04463,       21.00835,    128.94661,     +59.55834,     128.92761,      +59.54379,  2719815.43, -2746231.71,  5172763.16,      53.414371,       -2.192778,   92853.34,  247373.69,   26499.55,            26381.02,    67.61,  58882.31,           59754.82,     30.49,     71.39,          64.72,  +0.08,  -1.89
 12,     UK0027,       0,  0.482028, 2459437.492346588522, 129.47305,  59.34048,                2.76090,  20.78813,         2.76005,       20.78908,    129.47305,     +59.34048,     129.47652,      +59.34148,  2718993.27, -2747104.65,  5170783.82,      53.403623,       -2.210711,   91288.87,  245588.90,   28813.80,            28695.27,   -15.13,  57574.11,           59756.10,     -2.09,     -4.91,           4.48,  -0.04,  -1.99
 13,     UK0027,       0,  0.522212, 2459437.492347053252, 130.06663,  59.13281,                2.44920,  20.56394,         2.45751,       20.55465,    130.06663,     +59.13281,     130.05461,      +59.12313,  2718129.14, -2748022.16,  5168703.41,      53.392317,       -2.229550,   89645.00,  243722.72,   31246.21,            31127.68,    21.02,  60531.84,           59779.07,     20.24,     47.41,          43.63,  +0.21,  -1.72
 14,     UK0027,       0,  0.562396, 2459437.492347518448, 130.61194,  58.92674,                2.16080,  20.34442,         2.17174,       20.33221,    130.61194,     +58.92674,     130.59552,      +58.91407,  2717322.97, -2748878.12,  5166762.54,      53.381762,       -2.247137,   88111.81,  241990.86,   33515.47,            33396.95,  -105.99,  56471.90,           59711.30,     26.46,     61.94,          57.41,  +0.27,  -1.65

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.