Orbital Analysis for matched events on 20210810_021045.877_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 53.24° Bg 29.33° Vg 64.61km/s
mass 0.02933g, abs. mag -1.0
Path Details
------------
start -2.04° 49.37° 107.62km
end   -2.15° 49.35° 94.53km

Orbit Details
-------------
Semimajor axis 97.65A.U., eccentricity 0.99, inclination 130.09°, Period 964.98Y, LA Sun 137.40°, last Perihelion 2021-07-30

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: 2459436.590808765963
Time: 2021-08-10 02:10:45.917653 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0038
 Convergence angle = 13.28572 deg
 R.A. =  40.54540  Dec = +46.66266 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 13.29 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4161181.54 +/- 186.24 m
 Y =   -774758.12 +/- 31.32 m
 Z =   4900593.80 +/- 35.37 m
 Vx =    34069.59 +/- 895.70 m/s
 Vy =    29141.38 +/- 385.45 m/s
 Vz =    47823.48 +/- 615.78 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.014717e+03, -1.266183e+03, -8.350295e+02, +1.332918e+04, -3.699282e+03, -1.079449e+03
-1.266183e+03, +4.553568e+02, +1.869920e+02, -4.407367e+01, +8.496250e+02, -9.080904e+02
-8.350295e+02, +1.869920e+02, +2.543666e+02, +5.238027e+02, -1.876478e+02, -3.819904e+02
+1.332918e+04, -4.407367e+01, +5.238027e+02, +1.833828e+05, -3.460639e+04, -4.727829e+04
-3.699282e+03, +8.496250e+02, -1.876478e+02, -3.460639e+04, +9.490700e+03, +6.779315e+03
-1.079449e+03, -9.080904e+02, -3.819904e+02, -4.727829e+04, +6.779315e+03, +1.423449e+04

Timing offsets (from input data):
    UK000H: 0.000026 s
    UK0025: 0.000000 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:10:45.917653 UTC
  Lon     = +-2.020991 +/- 0.0002 deg
  Lat     = +49.369564 +/- 0.0015 deg
  Lat geo = +49.182498 +/- 0.0015 deg
  Ht      =  109541.39 +/- 97.65 m

  JD dynamic   = 2459436.591609972995 
  LST apparent = 349.4530336004 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  40.54198 +/- 0.8441 deg
  Dec       = +46.84886 +/- 0.5187 deg
  Azimuth   =  74.35404 +/- 1.3122 deg
  Elevation = +56.45065 +/- 0.3238 deg
  Vavg      =  64.40869 +/- 0.2658 km/s
  Vinit     =  65.55183 +/- 0.2771 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  40.78842 +/- 0.8441 deg
  Dec       = +46.69583 +/- 0.5187 deg
  Azimuth   =  74.48461 +/- 1.3122 deg
  Elevation = +56.23462 +/- 0.3238 deg
  Vavg      =  64.57347 +/- 0.2658 km/s
  Vinit     =  65.71661 +/- 0.2771 km/s
Radiant (geocentric, J2000):
  R.A.   =  40.51913 +/- 0.8514 deg
  Dec    = +46.65810 +/- 0.5198 deg
  Vg     =  64.60599 +/- 0.2811 km/s
  Vinf   =  65.55183 +/- 0.2771 km/s
  Zc     =  33.60023 +/- 0.3279 deg
  Zg     =  33.85164 +/- 0.3324 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  53.23775 +/- 0.8433 deg
  Bg     = +29.33399 +/- 0.2798 deg
  Vh     =  41.72693 +/- 0.1261 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  58.95222 +/- 1.7810 deg
  Bh     = +49.33568 +/- 0.4789 deg
  Vh_x   = -14.02350 +/- 0.9039 km/s
  Vh_y   = -23.29500 +/- 0.2151 km/s
  Vh_z   = -31.65156 +/- 0.1497 km/s
Orbit:
  La Sun = 137.396260 +/- -0.0000 deg
  a      =  97.651164 +/- 1418.7356 AU
  e      =   0.989796 +/- 0.0120
  i      = 130.085139 +/- 0.6008 deg
  peri   = 164.923576 +/- 2.3044 deg
  node   = 137.394829 +/- 0.0001 deg
  Pi     = 302.318405 +/- 2.3043 deg
  q      =   0.996385 +/- 0.0037 AU
  f      =  15.072024 +/- 2.3044 deg
  M      =   0.011141 +/- nan deg
  Q      = 194.305942 +/- 2837.4717 AU
  n      =   0.001021 +/- 0.0015 deg/day
  T      = 964.976573 +/- 489875147.2213 years
  Last perihelion JD = 2459425.684271 (2021-07-30 04:25:21.049190) +/- 0.7601 days
  Tj     =  -0.741589 +/- 0.0752
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.943358e-05, +7.681072e-06, +2.757772e-03, -1.182379e-09, +6.671503e-05, +1.164245e-05
q   , +7.681072e-06, +5.226668e-06, +1.845526e-03, -1.082184e-09, +4.497602e-05, +1.064263e-05
Tp  , +2.757772e-03, +1.845526e-03, +6.526727e-01, -3.790710e-07, +1.590219e-02, +3.727527e-03
node, -1.182379e-09, -1.082184e-09, -3.790710e-07, +2.526483e-13, -9.263047e-09, -2.483338e-09
peri, +6.671503e-05, +4.497602e-05, +1.590219e-02, -9.263047e-09, +3.874835e-04, +9.108638e-05
i   , +1.164245e-05, +1.064263e-05, +3.727527e-03, -2.483338e-09, +9.108638e-05, +2.440983e-05

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. = 7.561e-06 s
  Stddev    = 2.75e-03 s

Begin point on the trajectory:
  Lon =    -2.037582 +/- 0.0001 deg
  Lat =    49.366529 +/- 0.0012 deg
  Ht  = 107622.61 +/- 78.91 m
End point on the trajectory:
  Lon =    -2.152083 +/- 0.0001 deg
  Lat =    49.345689 +/- 0.0009 deg
  Ht  = 94526.94 +/- 49.84 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,   0.389178,  24.841492,   107566.76,    94604.63,          0.008673,     29.70,      2.96,              71.54, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_021044_483_0527872.fits"}
    UK0025,    True,    -2.949750,    50.877380,   82.00, 7940.151261,   1.252741,   142862.57,   125631.45,          6.887159,       nan,       nan,              59.66, 0.0000,    True,    True, {"ff_name": "FF_UK0025_20210810_021045_127_0523264.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000009,  56.960127,   107622.61,    94526.94,          0.005681,     24.37,      3.06,              71.33, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_021046_457_0523776.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,  0.043052, 2459436.590809263755, 344.14592,  -7.12167,              186.48481,  31.82266,       186.49400,       31.82761,    344.14592,      -7.12167,     344.13861,       -7.11618,  4159950.05,  -775811.47,  4898865.16,      49.366440,       -2.038076,  107566.76,  199714.90,       0.00,             2369.46,   -69.96,      0.00,           65628.75,      3.18,    -32.05,          33.26,  +1.42,  -0.08
  1,     UK000H,       0,  0.083736, 2459436.590809735004, 343.64273,  -7.76327,              187.01197,  31.14554,       187.00473,       31.14165,    343.64273,      -7.76327,     343.64901,       -7.76762,  4158424.57,  -777116.29,  4896723.85,      49.362565,       -2.059407,  105121.09,  198899.08,    2935.10,             5304.57,   198.23,  72143.95,           65628.75,     -2.51,     25.26,          26.32,  +1.17,  -0.32
  2,     UK000H,       0,  0.124316, 2459436.590810204390, 343.23779,  -8.31761,              187.42579,  30.56085,       187.42949,       30.56283,    343.23779,      -8.31761,     343.23527,       -8.31538,  4157150.25,  -778206.27,  4894935.09,      49.359322,       -2.077262,  103078.37,  198248.67,    5386.96,             7756.43,   -10.00,  60420.39,           65628.75,      1.28,    -12.88,          13.47,  +0.45,  -1.04
  3,     UK000H,       0,  0.164948, 2459436.590810674708, 342.77531,  -8.91660,              187.89416,  29.92512,       187.89124,       29.92356,    342.77531,      -8.91660,     342.77842,       -8.91838,  4155755.68,  -779399.11,  4892977.53,      49.355767,       -2.096797,  100843.21,  197569.35,    8070.19,            10439.65,     9.73,  66037.30,           65628.75,     -1.02,     10.23,          10.73,  +0.27,  -1.21
  4,     UK000H,       0,  0.205548, 2459436.590811144561, 342.33283,  -9.48548,              188.33550,  29.31913,       188.32537,       29.31374,    342.33283,      -9.48548,     342.34209,       -9.49166,  4154437.24,  -780526.84,  4891126.84,      49.352402,       -2.115285,   98730.36,  196958.81,   10606.95,            12976.41,  -114.92,  62481.63,           64867.01,     -3.53,     35.39,          37.24,  +0.04,  -1.43
  5,     UK000H,       0,  0.246168, 2459436.590811614878, 341.89238, -10.08796,              188.76389,  28.67805,       188.76930,       28.68092,    341.89238,     -10.08796,     341.88890,      -10.08464,  4153080.55,  -781687.28,  4889222.45,      49.348933,       -2.134313,   96556.51,  196362.91,   13217.30,            15586.76,  -167.29,  64262.69,           64562.95,      1.88,    -18.91,          19.96,  +0.04,  -1.43
  6,     UK000H,       0,  0.286724, 2459436.590812084265, 341.46440, -10.61055,              189.18065,  28.11595,       189.16600,       28.10819,    341.46440,     -10.61055,     341.47786,      -10.61959,  4151862.23,  -782729.37,  4887512.30,      49.345814,       -2.151427,   94604.63,  195856.20,   15561.41,            17930.87,  -481.69,  57799.46,           63730.89,     -5.12,     51.25,          54.25,  +0.13,  -1.33
  0,     UK0025,       1,  1.889533, 2459436.590830635745,  17.44797,  -1.17516,              145.04869,  32.42862,       151.47609,       36.75450,     17.44797,      -1.17516,      11.03139,       +1.14855,  4181948.42,  -756995.19,  4929744.27,      49.421583,       -1.742043,  142862.57,  234113.32,       0.00,            39956.66, -83522.94,      0.00,           63030.36, -10925.69, -25615.84,       24593.01,  +6.81,  +4.96
  1,     UK0025,       1,  1.929825, 2459436.590831101872,  17.26121,  -1.60655,              145.43825,  32.09331,       151.87058,       36.41356,     17.26121,      -1.60655,      10.83139,       +0.72840,  4180712.42,  -758052.40,  4928009.29,      49.418521,       -1.759208,  140875.55,  232666.14,    2378.14,            37578.52, -88542.29,  59022.61,           63030.36, -10868.45, -25524.38,       24651.51,  +3.44,  +1.61
  2,     UK0025,       1,  1.970121, 2459436.590831568465,  17.05855,  -2.04702,              145.84614,  31.75390,       152.27231,       36.06185,     17.05855,      -2.04702,      10.62594,       +0.29664,  4179458.00,  -759125.37,  4926248.47,      49.415410,       -1.776635,  138859.20,  231213.36,    4791.71,            35164.95, -93597.34,  59896.10,           63030.36, -10787.38, -25393.41,       24670.30,  +2.53,  +0.71
  3,     UK0025,       1,  2.010481, 2459436.590832035523,  16.82535,  -2.58148,              146.32300,  31.33582,       152.75179,       35.63540,     16.82535,      -2.58148,      10.37851,       -0.22451,  4177964.48,  -760402.85,  4924152.01,      49.411700,       -1.797364,  136458.98,  229505.87,    7665.34,            32291.32, -99116.64,  71199.79,           63030.36, -10714.93, -25276.18,       24731.38,  +2.25,  +0.45
  4,     UK0025,       1,  2.050829, 2459436.590832502581,  16.60116,  -3.09695,              146.77792,  30.93059,       153.20935,       35.22256,     16.60116,      -3.09695,      10.13982,       -0.72690,  4176545.28,  -761616.76,  4922159.89,      49.408168,       -1.817080,  134178.53,  227905.00,   10395.94,            29560.72, -104492.13,  67676.40,           64673.60, -10648.24, -25168.12,       24791.48,  +2.10,  +0.31
  5,     UK0025,       1,  2.091221, 2459436.590832970105,  16.33394,  -3.68899,              147.30599,  30.46638,       153.73085,       34.74419,     16.33394,      -3.68899,       9.86485,       -1.30631,  4174932.68,  -762996.09,  4919896.28,      49.404149,       -1.839473,  131587.80,  226113.07,   13498.68,            26457.98, -110242.63,  76815.53,           66880.40, -10554.41, -25014.51,       24825.29,  +1.99,  +0.22
  6,     UK0025,       1,  2.131553, 2459436.590833436698,  16.14149,  -4.17408,              147.70592,  30.07539,       154.14860,       34.35614,     16.14149,      -4.17408,       9.64197,       -1.77455,  4173647.72,  -764095.18,  4918092.58,      49.400940,       -1.857361,  129523.59,  224704.84,   15971.02,            23985.64, -115358.81,  61299.70,           67069.88, -10530.30, -24976.73,       24940.74,  +1.89,  +0.13
  7,     UK0025,       1,  2.171893, 2459436.590833903756,  15.90222,  -4.69424,              148.16655,  29.66560,       154.59890,       33.93188,     15.90222,      -4.69424,       9.39931,       -2.28446,  4172266.27,  -765276.81,  4916153.43,      49.397485,       -1.876589,  127304.73,  223212.00,   18629.01,            21327.65, -120661.17,  65889.82,           67050.47, -10443.41, -24833.87,       24954.37,  +1.94,  +0.20
  8,     UK0025,       1,  2.212157, 2459436.590834369417,  15.72393,  -5.09254,              148.51120,  29.34900,       154.94031,       33.60727,     15.72393,      -5.09254,       9.21337,       -2.67348,  4171224.49,  -766167.89,  4914691.09,      49.394877,       -1.891138,  125631.45,  222099.61,   20633.45,            19323.21, -125304.99,  49782.48,           65892.64, -10388.45, -24744.09,       24982.57,  +5.53,  +3.80
  0,     UK0038,       1,  0.000000, 2459436.590808765963, 355.36865, -13.49593,              173.27126,  24.91277,       173.29437,       24.92736,    355.36865,     -13.49593,     355.34604,      -13.48295,  4161187.02,  -774753.43,  4900601.49,      49.369578,       -2.020747,  109550.17,  250107.64,       0.00,               10.54,   393.25,      0.00,           62303.64,    -13.96,   -110.60,          91.94,  +4.13,  +2.14
  1,     UK0038,       0,  0.040276, 2459436.590809232090, 355.06959, -13.91498,              173.62408,  24.51615,       173.61603,       24.51107,    355.06959,     -13.91498,     355.07765,      -13.91952,  4159984.88,  -775781.67,  4898914.06,      49.366529,       -2.037582,  107622.61,  249425.63,    2312.97,             2302.44,    44.98,  57428.10,           62303.64,      4.83,     38.48,          32.07,  +2.16,  +0.18
  2,     UK0038,       0,  0.080596, 2459436.590809698682, 354.79253, -14.38524,              173.95405,  24.06576,       173.95606,       24.06702,    354.79253,     -14.38524,     354.79089,      -14.38410,  4158711.81,  -776870.60,  4897127.04,      49.363295,       -2.055408,  105581.56,  248724.98,    4762.45,             4751.91,  -148.60,  60750.79,           62303.64,     -1.20,     -9.57,           8.00,  +1.39,  -0.59
  3,     UK0038,       0,  0.120956, 2459436.590810165741, 354.46512, -14.91960,              174.33797,  23.55340,       174.34292,       23.55651,    354.46512,     -14.91960,     354.46074,      -14.91679,  4157259.53,  -778112.80,  4895088.48,      49.359600,       -2.075731,  103253.54,  247953.13,    7556.70,             7546.17,    -0.01,  69233.37,           62303.64,     -2.97,    -23.60,          19.79,  +0.93,  -1.04
  4,     UK0038,       0,  0.161292, 2459436.590810632799, 354.14952, -15.41557,              174.70240,  23.07720,       174.70279,       23.07744,    354.14952,     -15.41557,     354.14980,      -15.41535,  4155907.15,  -779269.56,  4893190.15,      49.356154,       -2.094678,  101085.96,  247260.66,   10158.76,            10148.22,   -42.05,  64509.46,           63386.70,     -0.24,     -1.88,           1.58,  +0.66,  -1.31
  5,     UK0038,       0,  0.201644, 2459436.590811099857, 353.83323, -15.93764,              175.06500,  22.57361,       175.07372,       22.57907,    353.83323,     -15.93764,     353.82539,      -15.93264,  4154510.52,  -780464.17,  4891229.69,      49.352589,       -2.114250,   98847.78,  246572.47,   12845.97,            12835.43,     0.01,  66594.21,           64154.52,     -5.22,    -41.54,          35.03,  +0.70,  -1.26
  6,     UK0038,       0,  0.241992, 2459436.590811566915, 353.49327, -16.46012,              175.44777,  22.06944,       175.44900,       22.07021,    353.49327,     -16.46012,     353.49304,      -16.45941,  4153094.75,  -781675.14,  4889242.38,      49.348969,       -2.134099,   96579.27,  245903.01,   15569.97,            15559.44,    79.13,  67512.80,           64788.60,     -0.74,     -5.90,           4.99,  +0.49,  -1.46
  7,     UK0038,       0,  0.282316, 2459436.590812033508, 353.19119, -16.94000,              175.78484,  21.60458,       175.78825,       21.60670,    353.19119,     -16.94000,     353.18895,      -16.93802,  4151813.73,  -782770.86,  4887444.20,      49.345689,       -2.152083,   94526.94,  245321.79,   18034.74,            18024.21,   -99.41,  61124.16,           64747.43,     -2.04,    -16.23,          13.75,  +0.54,  -1.41
  8,     UK0038,       1,  0.322580, 2459436.590812499635, 352.96894, -17.32615,              176.03207,  21.22874,       176.05379,       21.24228,    352.96894,     -17.32615,     352.94847,      -17.31354,  4150811.99,  -783627.69,  4886038.07,      49.343121,       -2.166190,   92922.22,  244883.53,   19962.13,            19951.60,  -811.40,  47868.80,           63605.18,    -13.00,   -103.29,          87.69,  +5.59,  +3.65

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.