Orbital Analysis for matched events on 20210810_232229.860_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 60.62° Bg 39.40° Vg 59.37km/s
mass 0.34980g, abs. mag -2.9
Path Details
------------
start -3.33° 52.06° 107.13km
end   -3.55° 51.92° 89.20km

Orbit Details
-------------
Semimajor axis 620.00A.U., eccentricity 1.00, inclination 112.26°, Period 15437.88Y, LA Sun 138.24°, last Perihelion 2021-07-23

Full details below
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Detailed report below graphs

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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: 2459437.473956721835
Time: 2021-08-10 23:22:29.860767 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0002 and UK0027
 Convergence angle = 12.17211 deg
 R.A. =  43.90117  Dec = +57.89930 deg

Best intersection: Stations UK0002 and UK0027 with Qconv = 12.17 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2401473.94 +/- 79.11 m
 Y =  -3193416.37 +/- 65.24 m
 Z =   5091406.10 +/- 199.61 m
 Vx =    22772.70 +/- 592.01 m/s
 Vy =    21719.72 +/- 524.63 m/s
 Vz =    51557.17 +/- 706.13 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.692368e+03, +4.468588e+03, -1.379587e+04, +1.303293e+04, +1.052139e+04, -3.412100e+04
+4.468588e+03, +4.349701e+03, -1.105063e+04, +1.036819e+04, +1.085252e+04, -2.956226e+04
-1.379587e+04, -1.105063e+04, +3.695434e+04, -3.669128e+04, -3.025363e+04, +9.087056e+04
+1.303293e+04, +1.036819e+04, -3.669128e+04, +5.865795e+04, +4.480353e+04, -1.234560e+05
+1.052139e+04, +1.085252e+04, -3.025363e+04, +4.480353e+04, +4.315959e+04, -1.048451e+05
-3.412100e+04, -2.956226e+04, +9.087056e+04, -1.234560e+05, -1.048451e+05, +3.168153e+05

Timing offsets (from input data):
    UK0002: 0.001255 s
    UK0027: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 23:22:29.860767 UTC
  Lon     = +-3.334122 +/- 0.0014 deg
  Lat     = +52.059647 +/- 0.0011 deg
  Lat geo = +51.875976 +/- 0.0011 deg
  Ht      =  107116.98 +/- 158.79 m

  JD dynamic   = 2459437.474757462740 
  LST apparent = 306.9434504219 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  43.64426 +/- 0.1357 deg
  Dec       = +58.60075 +/- 0.6513 deg
  Azimuth   =  42.09579 +/- 0.6803 deg
  Elevation = +39.47797 +/- 0.3855 deg
  Vavg      =  59.24354 +/- 0.1656 km/s
  Vinit     =  60.40268 +/- 0.3962 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  43.58292 +/- 0.1357 deg
  Dec       = +58.36703 +/- 0.6513 deg
  Azimuth   =  42.36038 +/- 0.6803 deg
  Elevation = +39.36017 +/- 0.3855 deg
  Vavg      =  59.39482 +/- 0.1656 km/s
  Vinit     =  60.55396 +/- 0.3962 km/s
Radiant (geocentric, J2000):
  R.A.   =  43.93477 +/- 0.1351 deg
  Dec    = +58.22868 +/- 0.6603 deg
  Vg     =  59.37433 +/- 0.4032 km/s
  Vinf   =  60.40268 +/- 0.3962 km/s
  Zc     =  50.65842 +/- 0.3841 deg
  Zg     =  51.12409 +/- 0.3944 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.61519 +/- 0.3504 deg
  Bg     = +39.39798 +/- 0.6049 deg
  Vh     =  41.82157 +/- 0.6606 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.97464 +/- 0.9298 deg
  Bh     = +64.30480 +/- 0.4522 deg
  Vh_x   =  -3.15669 +/- 0.2906 km/s
  Vh_y   = -17.85627 +/- 0.1097 km/s
  Vh_z   = -37.68597 +/- 0.7291 km/s
Orbit:
  La Sun = 138.243663 +/- 0.0000 deg
  a      = 619.999454 +/- 113.2013 AU
  e      =   0.998450 +/- 0.0583
  i      = 112.256239 +/- 0.6028 deg
  peri   = 153.619475 +/- 0.6869 deg
  node   = 138.242467 +/- 0.0000 deg
  Pi     = 291.861942 +/- 0.6869 deg
  q      =   0.960867 +/- 0.0011 AU
  f      =  26.376458 +/- 0.6869 deg
  M      =   0.001180 +/- nan deg
  Q      = 1239.038042 +/- 226.4023 AU
  n      =   0.000064 +/- 0.0261 deg/day
  T      = 15437.877747 +/- 253395328.8855 years
  Last perihelion JD = 2459418.990952 (2021-07-23 11:46:58.241376) +/- 0.7175 days
  Tj     =  -0.451736 +/- 0.3129
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.266083e-03, +2.992898e-05, +2.973898e-02, +2.986797e-08, +4.529785e-04, -3.844439e-04
q   , +2.992898e-05, +1.168951e-06, +5.230297e-04, +3.352500e-10, +9.469650e-06, -4.318019e-06
Tp  , +2.973898e-02, +5.230297e-04, +4.128975e-01, +3.795455e-07, +6.541870e-03, -4.884600e-03
node, +2.986797e-08, +3.352500e-10, +3.795455e-07, +4.442869e-13, +5.667930e-09, -5.720537e-09
peri, +4.529785e-04, +9.469650e-06, +6.541870e-03, +5.667930e-09, +1.064134e-04, -7.294986e-05
i   , -3.844439e-04, -4.318019e-06, -4.884600e-03, -5.720537e-09, -7.294986e-05, +7.365884e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 5.959241
 a2 = 9.244572

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 1.018e-06 s
  Stddev    = 1.01e-03 s

Begin point on the trajectory:
  Lon =    -3.333935 +/- 0.0014 deg
  Lat =    52.059775 +/- 0.0011 deg
  Ht  = 107133.01 +/- 157.09 m
End point on the trajectory:
  Lon =    -3.545546 +/- 0.0017 deg
  Lat =    51.916121 +/- 0.0009 deg
  Ht  = 89200.32 +/- 125.23 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,   9.447720,   8.041409,   105813.43,    90583.78,          0.011330,     28.82,     54.17,              87.28, 1.0000,    True,    True, {"ff_name": "FF_UK0002_20210810_232222_209_0291328.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   4.905083,   9.707892,   107133.01,    89200.32,          0.011746,      8.05,     28.14,              59.39, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210810_232222_938_0273152.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,       0,  0.037227, 2459437.473957135342, 208.16355,  33.85903,              301.15447,  18.59477,       301.14888,       18.60079,    208.16355,     +33.85903,     208.17326,      +33.86014,  2400700.84, -3194153.72,  5089655.82,      52.049263,       -3.349486,  105813.43,  310632.04,       0.00,             2050.58,    39.73,      0.00,           59954.49,    -38.38,    -20.42,          28.87,  +2.47,  +0.01
  1,     UK0002,       0,  0.077515, 2459437.473957601469, 208.22930,  33.41919,              300.80864,  18.29673,       300.79812,       18.30806,    208.22930,     +33.41919,     208.24754,      +33.42128,  2399796.30, -3195016.43,  5087607.96,      52.037106,       -3.367454,  104288.75,  310510.33,    2399.20,             4449.78,     5.43,  59551.33,           59954.49,    -72.27,    -38.46,          54.38,  +2.38,  -0.08
  2,     UK0002,       0,  0.117783, 2459437.473958067596, 208.31889,  32.99368,              300.45740,  18.02234,       300.45750,       18.02223,    208.31889,     +32.99368,     208.31920,      +32.99366,  2398915.70, -3195856.31,  5085614.28,      52.025263,       -3.384950,  102804.89,  310409.95,    4734.93,             6785.50,   -91.15,  58004.47,           59954.49,      0.72,      0.38,           0.54,  +1.82,  -0.64
  3,     UK0002,       0,  0.158091, 2459437.473958534189, 208.37408,  32.52633,              300.10135,  17.69720,       300.08857,       17.71089,    208.37408,     +32.52633,     208.39627,      +32.52885,  2397959.00, -3196768.77,  5083448.33,      52.012387,       -3.403942,  101193.37,  310320.05,    7272.49,             9323.07,    11.71,  62954.31,           59954.49,    -87.62,    -46.64,          65.98,  +1.33,  -1.13
  4,     UK0002,       0,  0.198371, 2459437.473959000316, 208.44510,  32.09350,              299.75896,  17.40672,       299.74618,       17.42039,    208.44510,     +32.09350,     208.46734,      +32.09600,  2397068.79, -3197617.83,  5081432.89,      52.000397,       -3.421625,   99694.35,  310255.77,    9633.70,            11684.28,   -60.10,  58620.02,           59922.78,    -87.54,    -46.59,          65.93,  +1.52,  -0.94
  5,     UK0002,       0,  0.238659, 2459437.473959466442, 208.52724,  31.63718,              299.39377,  17.10429,       299.38571,       17.11289,    208.52724,     +31.63718,     208.54167,      +31.63875,  2396128.68, -3198514.47,  5079304.50,      51.987727,       -3.440288,   98111.86,  310206.94,   12127.27,            14177.84,    -0.04,  61893.45,           60195.26,    -55.18,    -29.36,          41.56,  +1.33,  -1.13
  6,     UK0002,       0,  0.278927, 2459437.473959932569, 208.60184,  31.21206,              299.05546,  16.82131,       299.05109,       16.82597,    208.60184,     +31.21206,     208.61025,      +31.21291,  2395253.59, -3199349.10,  5077323.29,      51.975924,       -3.457670,   96639.30,  310180.26,   14448.38,            16498.96,  -111.22,  57641.69,           60019.10,    -29.91,    -15.91,          22.53,  +0.98,  -1.48
  7,     UK0002,       0,  0.319207, 2459437.473960399162, 208.68496,  30.76464,              298.69689,  16.52589,       298.69959,       16.52303,    208.68496,     +30.76464,     208.68184,      +30.76412,  2394331.43, -3200228.61,  5075235.54,      51.963479,       -3.475978,   95088.09,  310170.52,   16894.32,            18944.90,   -98.30,  60723.38,           60004.38,     18.44,      9.80,          13.89,  +0.99,  -1.47
  8,     UK0002,       0,  0.359471, 2459437.473960864823, 208.76525,  30.34282,              298.35807,  16.24832,       298.36900,       16.23672,    208.76525,     +30.34282,     208.74878,      +30.34073,  2393461.64, -3201058.18,  5073266.34,      51.951732,       -3.493253,   93625.44,  310179.63,   19201.37,            21251.94,  -223.31,  57297.98,           59817.18,     74.77,     39.73,          56.30,  +1.12,  -1.34
  9,     UK0002,       0,  0.399751, 2459437.473961330950, 208.82018,  29.90328,              298.02536,  15.94291,       298.02808,       15.94004,    208.82018,     +29.90328,     208.81741,      +29.90276,  2392561.80, -3201916.42,  5071229.12,      51.939570,       -3.511119,   92112.77,  310206.88,   21588.11,            23638.69,  -269.58,  59253.90,           59691.14,     18.56,      9.87,          13.97,  +1.01,  -1.45
 10,     UK0002,       0,  0.440035, 2459437.473961797543, 208.88560,  29.46014,              297.68369,  15.64042,       297.68447,       15.63959,    208.88560,     +29.46014,     208.88616,      +29.45999,  2391651.94, -3202784.20,  5069169.21,      51.927265,       -3.529180,   90583.78,  310253.09,   24001.44,            26052.01,  -289.52,  59907.69,           59632.23,      5.36,      2.85,           4.03,  +1.66,  -0.80
  0,     UK0027,       0,  0.000000, 2459437.473956721835, 222.27935,  63.03841,              319.50441,  45.88125,       319.49302,       45.89766,    222.27935,     +63.03841,     222.31953,      +63.03867,  2401483.44, -3193407.30,  5091427.62,      52.059775,       -3.333935,  107133.01,  147989.65,       0.00,               25.21,   262.94,      0.00,           58385.60,    -45.25,    -12.96,          65.60,  +2.06,  +1.21
  1,     UK0027,       0,  0.039984, 2459437.473957184702, 222.30126,  62.31364,              318.57229,  45.56199,       318.56067,       45.57835,    222.30126,     +62.31364,     222.34073,      +62.31389,  2400665.21, -3194187.70,  5089575.15,      52.048784,       -3.350205,  105753.36,  146868.04,    2170.30,             2145.09,   -32.32,  54279.25,           58385.60,    -45.01,    -12.89,          65.75,  +0.81,  -0.02
  2,     UK0027,       0,  0.079952, 2459437.473957647104, 222.34531,  61.47120,              317.49591,  45.18988,       317.49015,       45.19779,    222.34531,     +61.47120,     222.36425,      +61.47132,  2399728.62, -3195080.98,  5087454.72,      52.036196,       -3.368802,  104174.68,  145612.71,    4654.52,             4629.30,    37.72,  62155.13,           58385.60,    -21.71,     -6.21,          31.98,  +0.92,  +0.10
  3,     UK0027,       0,  0.119928, 2459437.473958109971, 222.38650,  60.67895,              316.49599,  44.83166,       316.49658,       44.83086,    222.38650,     +60.67895,     222.38516,      +60.67894,  2398862.49, -3195907.07,  5085493.81,      52.024547,       -3.386012,  102715.24,  144480.72,    6951.86,             6926.65,   -79.59,  57468.08,           58385.60,      2.18,      0.62,           3.24,  +0.54,  -0.26
  4,     UK0027,       0,  0.159900, 2459437.473958572373, 222.42240,  59.79470,              315.39740,  44.41827,       315.40269,       44.41136,    222.42240,     +59.79470,     222.40741,      +59.79460,  2397910.97, -3196814.59,  5083339.58,      52.011740,       -3.404901,  101112.47,  143268.93,    9475.69,             9450.48,    29.82,  63139.89,           59370.27,     18.94,      5.41,          28.36,  +0.36,  -0.42
  5,     UK0027,       0,  0.199880, 2459437.473959035240, 222.45556,  58.94514,              314.35648,  44.01151,       314.36660,       43.99859,    222.45556,     +58.94514,     222.42765,      +58.94496,  2397011.73, -3197672.24,  5081303.72,      51.999628,       -3.422760,   99598.29,  142155.95,   11860.83,            11835.62,     0.06,  59658.37,           59692.79,     35.38,     10.11,          53.39,  +0.12,  -0.64
  6,     UK0027,       0,  0.239868, 2459437.473959498107, 222.46755,  58.11806,              313.36389,  43.59804,       313.37199,       43.58792,    222.46755,     +58.11806,     222.44639,      +58.11791,  2396149.72, -3198494.39,  5079352.14,      51.988010,       -3.439885,   98147.27,  141119.08,   14147.24,            14122.03,  -128.91,  57177.35,           59538.37,     27.72,      7.92,          42.14,  +0.01,  -0.74
  7,     UK0027,       0,  0.279872, 2459437.473959960975, 222.44714,  57.18312,              312.27126,  43.10509,       312.26429,       43.11362,    222.44714,     +57.18312,     222.46663,      +57.18324,  2395189.86, -3199409.87,  5077179.02,      51.975065,       -3.458934,   96532.10,  139998.93,   16693.20,            16667.98,     0.69,  63642.55,           59816.30,    -23.34,     -6.68,          35.76,  -0.24,  -0.97
  8,     UK0027,       0,  0.319844, 2459437.473960423842, 222.49371,  56.31919,              311.25136,  42.67076,       311.25557,       42.66572,    222.49371,     +56.31919,     222.48439,      +56.31912,  2394316.05, -3200243.28,  5075200.73,      51.963271,       -3.476289,   95062.23,  139012.66,   19010.90,            18985.68,   -96.02,  57983.12,           59823.78,     13.79,      3.94,          21.27,  -0.37,  -1.09
  9,     UK0027,       0,  0.359852, 2459437.473960886709, 222.47337,  55.45266,              310.26977,  42.19521,       310.25895,       42.20794,    222.47337,     +55.45266,     222.50139,      +55.45283,  2393452.18, -3201067.21,  5073244.92,      51.951604,       -3.493447,   93609.53,  138069.18,   21302.26,            21277.04,  -221.25,  57272.57,           59688.32,    -34.84,     -9.97,          54.14,  -0.44,  -1.14
 10,     UK0027,       0,  0.399836, 2459437.473961349577, 222.49813,  54.54569,              309.23884,  41.71046,       309.23097,       41.71954,    222.49813,     +54.54569,     222.51844,      +54.54581,  2392559.82, -3201918.30,  5071224.64,      51.939544,       -3.511164,   92109.45,  137127.99,   23669.15,            23643.94,  -269.50,  59196.03,           59592.07,    -24.87,     -7.12,          38.92,  -0.48,  -1.17
 11,     UK0027,       0,  0.439808, 2459437.473961811978, 222.55339,  53.63286,              308.20306,  41.22883,       308.21195,       41.21876,    222.55339,     +53.63286,     222.53484,      +53.63273,  2391673.51, -3202763.63,  5069218.05,      51.927557,       -3.528761,   90620.02,  136227.68,   26020.01,            25994.80,  -333.06,  58812.62,           59506.57,     27.63,      7.89,          43.51,  -0.30,  -0.97
 12,     UK0027,       0,  0.479808, 2459437.473962275311, 222.55218,  52.75086,              307.24069,  40.72875,       307.24257,       40.72665,    222.55218,     +52.75086,     222.54999,      +52.75083,  2390828.42, -3203569.64,  5067304.77,      51.916121,       -3.545546,   89200.32,  135402.21,   28261.54,            28236.33,  -507.63,  56038.33,           59340.51,      5.77,      1.65,           9.14,  +0.18,  -0.48

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.