Orbital Analysis for matched events on 20210810_010108.852_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 47.88° Bg 32.53° Vg 60.93km/s
mass 0.03767g, abs. mag -0.7
Path Details
------------
start 0.32° 50.57° 101.74km
end   0.18° 50.54° 87.24km

Orbit Details
-------------
Semimajor axis 4.58A.U., eccentricity 0.78, inclination 123.85°, Period 9.80Y, LA Sun 137.35°, last Perihelion 2021-08-09

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: 2459436.542463566177
Time: 2021-08-10 01:01:08.852118 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002N
 Convergence angle = 33.18772 deg
 R.A. =  31.81543  Dec = +47.14900 deg
Intersection 2 - Stations: UK002B and UK0038
 Convergence angle = 2.39379 deg
 R.A. =  39.32530  Dec = +66.95866 deg
Intersection 3 - Stations: UK002N and UK0038
 Convergence angle = 35.44292 deg
 R.A. =  33.23763  Dec = +48.20381 deg

Best intersection: Stations UK002N and UK0038 with Qconv = 35.44 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3717004.93 +/- 176.55 m
 Y =  -1785489.22 +/- 28.17 m
 Z =   4982039.58 +/- 36.87 m
 Vx =    34884.96 +/- 948.22 m/s
 Vy =    22141.74 +/- 417.29 m/s
 Vz =    46132.91 +/- 824.38 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.966979e+04, +2.305190e+03, +5.141230e+03, +1.324188e+05, +5.867792e+03, +1.470504e+04
+2.305190e+03, +8.523902e+02, +2.209052e+02, +1.376816e+04, +3.746011e+03, -2.705467e+02
+5.141230e+03, +2.209052e+02, +1.339594e+03, +2.081358e+04, -5.782151e+02, +4.119915e+03
+1.324188e+05, +1.376816e+04, +2.081358e+04, +7.774296e+05, +4.080772e+04, +3.731075e+04
+5.867792e+03, +3.746011e+03, -5.782151e+02, +4.080772e+04, +2.442564e+04, +1.507620e+03
+1.470504e+04, -2.705467e+02, +4.119915e+03, +3.731075e+04, +1.507620e+03, +2.558357e+04

Timing offsets (from input data):
    UK002B: -0.001103 s
    UK002N: 0.000000 s
    UK0038: 0.000369 s

Reference point on the trajectory:
  Time: 2021-08-10 01:01:08.852118 UTC
  Lon     = ++0.320439 +/- 0.0013 deg
  Lat     = +50.571603 +/- 0.0009 deg
  Lat geo = +50.385659 +/- 0.0009 deg
  Ht      =  101745.16 +/- 122.34 m

  JD dynamic   = 2459436.543264307082 
  LST apparent = 334.3423736419 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  32.40360 +/- 0.6764 deg
  Dec       = +48.15110 +/- 0.5363 deg
  Azimuth   =  70.50076 +/- 1.1049 deg
  Elevation = +53.08595 +/- 0.2038 deg
  Vavg      =  60.53084 +/- 0.8554 km/s
  Vinit     =  61.93111 +/- 0.5879 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  32.62283 +/- 0.6764 deg
  Dec       = +47.97552 +/- 0.5363 deg
  Azimuth   =  70.65420 +/- 1.1049 deg
  Elevation = +52.87676 +/- 0.2038 deg
  Vavg      =  60.70158 +/- 0.8554 km/s
  Vinit     =  62.10185 +/- 0.5879 km/s
Radiant (geocentric, J2000):
  R.A.   =  32.47556 +/- 0.6896 deg
  Dec    = +47.91240 +/- 0.5359 deg
  Vg     =  60.92781 +/- 0.5979 km/s
  Vinf   =  61.93111 +/- 0.5879 km/s
  Zc     =  36.97647 +/- 0.2063 deg
  Zg     =  37.28937 +/- 0.2131 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  47.88097 +/- 0.7402 deg
  Bg     = +32.53013 +/- 0.3308 deg
  Vh     =  39.45268 +/- 0.4199 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  47.84839 +/- 1.7810 deg
  Bh     = +56.14798 +/- 0.7942 deg
  Vh_x   = -14.74872 +/- 0.9292 km/s
  Vh_y   = -16.29321 +/- 0.1583 km/s
  Vh_z   = -32.76462 +/- 0.1493 km/s
Orbit:
  La Sun = 137.349877 +/- -0.0000 deg
  a      =   4.580129 +/- 0.5097 AU
  e      =   0.778671 +/- 0.0369
  i      = 123.851011 +/- 0.8217 deg
  peri   = 179.369458 +/- 2.3910 deg
  node   = 137.348539 +/- 0.0001 deg
  Pi     = 316.717997 +/- 2.3909 deg
  q      =   1.013716 +/- 0.0009 AU
  f      =   0.626271 +/- 2.3910 deg
  M      =   0.048897 +/- 0.3594 deg
  Q      =   8.146543 +/- 1.0186 AU
  n      =   0.100551 +/- 0.0286 deg/day
  T      =   9.802057 +/- 1.5005 years
  Last perihelion JD = 2459436.056978 (2021-08-09 13:22:02.879836) +/- 1611.9037 days
  Tj     =   0.480520 +/- 0.2108
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.223288e-03, +2.507612e-05, -2.948608e+01, -3.811707e-08, +1.258803e-03, +4.272688e-04
q   , +2.507612e-05, +7.058615e-07, -3.886722e-01, -8.127887e-10, +2.838291e-05, +9.173408e-06
Tp  , -2.948608e+01, -3.886722e-01, +2.778761e+06, +1.248216e-03, -4.373286e+01, -1.385176e+01
node, -3.811707e-08, -8.127887e-10, +1.248216e-03, +1.508246e-12, -4.537322e-08, -1.685842e-08
peri, +1.258803e-03, +2.838291e-05, -4.373286e+01, -4.537322e-08, +1.564958e-03, +5.082838e-04
i   , +4.272688e-04, +9.173408e-06, -1.385176e+01, -1.685842e-08, +5.082838e-04, +1.884662e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.016467
 a2 = 32.214215

Mean time residuals from time vs. length:
  Station with reference time: UK002N
  Avg. res. = 2.165e-06 s
  Stddev    = 1.47e-03 s

Begin point on the trajectory:
  Lon =     0.320362 +/- 0.0013 deg
  Lat =    50.571586 +/- 0.0009 deg
  Ht  = 101737.37 +/- 128.23 m
End point on the trajectory:
  Lon =     0.176124 +/- 0.0019 deg
  Lat =    50.539237 +/- 0.0007 deg
  Ht  = 87237.95 +/- 172.14 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.007142,  34.864899,   100694.01,    87237.95,          0.033360,     78.34,     39.40,              25.46, 0.1848,    True,    True, {"ff_name": "FF_UK002B_20210810_010104_976_0429568.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000038,  52.270129,   101737.37,    88074.68,          0.015984,     40.07,      3.08,              43.09, 0.4667,    True,    True, {"ff_name": "FF_UK002N_20210810_010106_851_0430336.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.005269,  36.838707,   101478.46,    87666.07,          0.032847,    113.44,     65.07,              42.28, 0.4527,    True,    True, {"ff_name": "FF_UK0038_20210810_010108_904_0420096.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,     UK002B,       0,  0.022352, 2459436.542463838588,  27.96700,  22.38759,              102.40521,  38.87976,       102.36784,       38.84671,     27.96700,     +22.38759,      28.01439,      +22.38240,  3716264.36, -1785959.27,  4981060.22,      50.569270,       +0.309997,  100694.01,  158622.91,       0.00,             1314.74,   268.66,      0.00,           61360.48,     54.79,    108.91,         158.53,  +2.28,  +1.28
  1,     UK002B,       0,  0.062464, 2459436.542464302853,  27.96182,  22.05859,              102.69088,  38.63760,       102.68421,       38.63174,     27.96182,     +22.05859,      27.97049,      +22.05768,  3715110.33, -1786691.73,  4979534.11,      50.565631,       +0.293706,   99056.22,  156775.18,    2048.73,             3363.47,  -166.79,  51075.25,           61360.48,      9.67,     19.17,          28.25,  +0.92,  -0.06
  2,     UK002B,       0,  0.102584, 2459436.542464767117,  27.91170,  21.63174,              103.09722,  38.34913,       103.09574,       38.34783,     27.91170,     +21.63174,      27.91399,      +21.63154,  3713637.30, -1787626.68,  4977586.12,      50.560981,       +0.272950,   96966.01,  154426.79,    4663.80,             5978.54,   -36.40,  65181.25,           61360.48,      2.11,      4.18,           6.25,  +0.52,  -0.42
  3,     UK002B,       0,  0.142672, 2459436.542465231381,  27.81193,  21.18784,              103.55909,  38.07712,       103.52518,       38.04756,     27.81193,     +21.18784,      27.85495,      +21.18318,  3712134.43, -1788580.56,  4975598.68,      50.556229,       +0.251768,   94833.83,  152040.23,    7331.84,             8646.58,   148.95,  66554.57,           61360.48,     47.50,     94.42,         143.39,  +0.26,  -0.65
  4,     UK002B,       0,  0.182776, 2459436.542465695180,  27.76516,  20.79688,              103.92670,  37.81121,       103.89666,       37.78513,     27.76516,     +20.79688,      27.80339,      +20.79277,  3710862.48, -1789387.88,  4973916.61,      50.552202,       +0.233807,   93029.56,  150026.57,    9589.93,            10904.67,   -76.65,  56305.86,           60996.26,     41.51,     82.49,         126.96,  +0.09,  -0.79
  5,     UK002B,       0,  0.222888, 2459436.542466159444,  27.69601,  20.34845,              104.35924,  37.51449,       104.32081,       37.48128,     27.69601,     +20.34845,      27.74470,      +20.34320,  3709439.32, -1790291.17,  4972034.59,      50.547690,       +0.213723,   91011.13,  147783.22,   12116.45,            13431.19,   -34.31,  62986.60,           61176.56,     52.22,    103.90,         162.30,  -0.10,  -0.95
  6,     UK002B,       0,  0.263020, 2459436.542466624174,  27.65338,  19.89469,              104.76923,  37.19623,       104.74380,       37.17437,     27.65338,     +19.89469,      27.68597,      +19.89124,  3708050.77, -1791172.49,  4970198.33,      50.543282,       +0.194114,   89042.11,  145603.36,   14581.54,            15896.28,   -54.64,  61424.55,           61267.54,     34.05,     67.66,         107.30,  +0.18,  -0.64
  7,     UK002B,       0,  0.303128, 2459436.542467088439,  27.59368,  19.46905,              105.16860,  36.90858,       105.13966,       36.88381,     27.59368,     +19.46905,      27.63066,      +19.46513,  3706778.29, -1791980.14,  4968515.57,      50.539237,       +0.176124,   87237.95,  143613.25,   16840.57,            18155.31,  -279.54,  56323.58,           60893.44,     38.17,     75.89,         122.00,  +0.58,  -0.21
  0,     UK002N,       0,  0.000000, 2459436.542463566177,   4.69221,  11.71631,              135.81623,  42.95206,       135.82356,       42.95929,      4.69221,     +11.71631,       4.68402,      +11.72039,  3716999.44, -1785492.70,  4982032.32,      50.571586,       +0.320362,  101737.37,  147878.21,       0.00,                9.74,   347.94,      0.00,           58886.93,      1.79,    -23.16,          32.40,  +2.75,  +1.90
  1,     UK002N,       0,  0.040356, 2459436.542464033235,   4.44682,  11.19045,              136.42704,  42.58692,       136.45726,       42.61643,      4.44682,     +11.19045,       4.41339,      +11.20717,  3715787.23, -1786262.10,  4980429.26,      50.567766,       +0.303261,  100016.85,  146309.51,    2152.04,             2161.78,     0.69,  53326.32,           58886.93,      7.20,    -94.09,         133.03,  +0.82,  -0.01
  2,     UK002N,       0,  0.080748, 2459436.542464500759,   4.09988,  10.59010,              137.19664,  42.19525,       137.20387,       42.20223,      4.09988,     +10.59010,       4.09224,      +10.59408,  3714373.14, -1787159.64,  4978559.22,      50.563305,       +0.283332,   98010.10,  144499.76,    4662.47,             4672.21,     9.60,  62151.77,           58886.93,      1.71,    -22.12,          31.68,  +0.16,  -0.64
  3,     UK002N,       0,  0.121148, 2459436.542464968283,   3.77457,   9.98624,              137.93427,  41.78717,       137.93424,       41.78714,      3.77457,      +9.98624,       3.77512,       +9.98623,  3713005.73, -1788027.54,  4976750.92,      50.558984,       +0.264048,   96069.94,  142769.95,    7090.02,             7099.75,   -64.87,  60087.73,           58886.93,     -0.01,      0.10,           0.14,  -0.15,  -0.92
  4,     UK002N,       0,  0.161584, 2459436.542465436272,   3.45138,   9.34008,              138.68486,  41.33592,       138.69392,       41.34448,      3.45138,      +9.34008,       3.44216,       +9.34501,  3711598.82, -1788920.52,  4974890.38,      50.554533,       +0.244202,   94074.03,  141012.04,    9587.70,             9597.44,   -71.43,  61768.90,           59692.98,      2.08,    -26.82,          39.35,  -0.33,  -1.08
  5,     UK002N,       0,  0.202032, 2459436.542465904728,   3.09158,   8.66613,              139.48507,  40.87017,       139.48591,       40.87095,      3.09158,      +8.66613,       3.09152,       +8.66658,  3710147.98, -1789841.37,  4972971.75,      50.549937,       +0.223733,   92016.17,  139223.34,   12163.37,            12173.11,    -0.75,  63678.50,           60493.23,      0.19,     -2.43,           3.61,  -0.54,  -1.26
  6,     UK002N,       0,  0.242460, 2459436.542466372252,   2.75031,   8.02436,              140.23627,  40.42183,       140.22944,       40.41551,      2.75031,      +8.02436,       2.75871,       +8.02068,  3708800.86, -1790696.40,  4971190.27,      50.545664,       +0.204708,   90105.72,  137584.68,   14554.91,            14564.65,  -112.96,  59155.56,           60635.39,     -1.53,     19.60,          29.47,  -0.40,  -1.09
  7,     UK002N,       0,  0.282928, 2459436.542466840707,   2.37994,   7.32479,              141.04309,  39.92777,       141.02781,       39.91380,      2.37994,      +7.32479,       2.39755,       +7.31661,  3707368.46, -1791605.56,  4969296.02,      50.541114,       +0.184480,   88074.68,  135867.40,   17097.85,            17107.58,   -76.26,  62838.14,           60878.45,     -3.38,     43.11,          65.65,  -0.19,  -0.86
  8,     UK002N,       1,  0.323280, 2459436.542467307765,   2.16024,   6.81591,              141.56452,  39.54604,       141.58052,       39.56057,      2.16024,      +6.81591,       2.14443,       +6.82444,  3706388.24, -1792227.71,  4967999.75,      50.537996,       +0.170580,   86684.96,  134705.63,   18838.03,            18847.77,  -835.12,  43125.05,           59810.28,      3.47,    -44.66,          68.60,  +3.76,  +3.11
  0,     UK0038,       0,  0.011642, 2459436.542463696562,  28.26716,   5.61588,              113.79930,  24.72666,       113.84362,       24.75937,     28.26716,      +5.61588,      28.21522,       +5.61956,  3716817.03, -1785608.48,  4981791.10,      50.571012,       +0.317768,  101478.46,  233607.96,       0.00,              333.57,   -49.21,      0.00,           63386.18,   -105.30,   -183.39,         186.72,  +3.43,  +1.59
  1,     UK0038,       0,  0.051962, 2459436.542464163154,  28.20036,   5.22365,              114.10646,  24.44338,       114.11971,       24.45315,     28.20036,      +5.22365,      28.18503,       +5.22476,  3715485.28, -1786453.75,  4980029.95,      50.566814,       +0.298996,   99588.32,  231865.71,    2364.26,             2697.83,  -182.02,  58637.29,           63386.18,    -31.21,    -54.48,          55.86,  +1.19,  -0.64
  2,     UK0038,       0,  0.092350, 2459436.542464630678,  28.17360,   4.76537,              114.41770,  24.08253,       114.43787,       24.09738,     28.17360,      +4.76537,      28.15031,       +4.76706,  3713966.04, -1787418.02,  4978020.86,      50.562019,       +0.277595,   97432.46,  229893.27,    5061.35,             5394.93,    13.81,  66779.71,           63386.18,    -47.19,    -82.34,          85.15,  +0.53,  -1.28
  3,     UK0038,       0,  0.132722, 2459436.542465097737,  28.15426,   4.32129,              114.71176,  23.72854,       114.74426,       23.75241,     28.15426,      +4.32129,      28.11666,       +4.32401,  3712519.70, -1788336.03,  4976108.18,      50.557447,       +0.257204,   95380.39,  228028.94,    7629.04,             7962.61,    81.21,  63600.61,           63386.18,    -75.51,   -131.66,         137.29,  +0.38,  -1.41
  4,     UK0038,       0,  0.173106, 2459436.542465565260,  28.10429,   3.85984,              115.04239,  23.37703,       115.06231,       23.39164,     28.10429,      +3.85984,      28.08162,       +3.86151,  3711034.65, -1789278.60,  4974144.30,      50.552747,       +0.236263,   93273.78,  226129.47,   10265.45,            10599.02,   216.59,  65283.48,           63900.39,    -45.91,    -80.12,          84.24,  +0.22,  -1.55
  5,     UK0038,       0,  0.213454, 2459436.542466032319,  28.09179,   3.44895,              115.30675,  23.04543,       115.34271,       23.07176,     28.09179,      +3.44895,      28.05041,       +3.45196,  3709739.96, -1790100.35,  4972432.17,      50.548643,       +0.217977,   91437.50,  224484.52,   12563.90,            12897.47,    16.25,  56965.66,           63057.08,    -82.44,   -143.74,         152.25,  +0.18,  -1.58
  6,     UK0038,       0,  0.253802, 2459436.542466498911,  28.02316,   3.02262,              115.62942,  22.73224,       115.63487,       22.73623,     28.02316,      +3.02262,      28.01782,       +3.02308,  3708404.16, -1790948.19,  4970665.66,      50.544404,       +0.199108,   89543.20,  222799.92,   14935.34,            15268.91,  -111.11,  58774.71,           62297.30,    -12.38,    -21.63,          23.07,  +0.28,  -1.46
  7,     UK0038,       0,  0.294170, 2459436.542466966435,  28.01993,   2.58902,              115.89665,  22.37571,       115.92736,       22.39814,     28.01993,      +2.58902,      27.98503,       +2.59160,  3707080.26, -1791788.48,  4968914.90,      50.540197,       +0.180398,   87666.07,  221142.79,   17285.65,            17619.22,  -260.83,  58222.09,           61641.03,    -69.46,   -121.17,         130.27,  +0.71,  -1.01

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.