Orbital Analysis for matched events on 20210904_020041.958_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 346.39° Bg 39.33° Vg 30.46km/s
mass 0.05901g, abs. mag 0.2
Path Details
------------
start -1.09° 51.44° 99.56km
end   -0.93° 51.47° 81.87km

Orbit Details
-------------
Semimajor axis 15.19A.U., eccentricity 0.96, inclination 35.05°, Period 59.20Y, LA Sun 161.48°, last Perihelion 1962-08-01

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: 2459461.583818968851
Time: 2021-09-04 02:00:41.958909 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002B
 Convergence angle = 75.82893 deg
 R.A. = 332.51777  Dec = +31.43939 deg

Best intersection: Stations UK000F and UK002B with Qconv = 75.83 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3950137.44 +/- 30.96 m
 Y =    875639.26 +/- 17.78 m
 Z =   5041971.82 +/- 61.47 m
 Vx =    24404.71 +/- 83.16 m/s
 Vy =   -12955.30 +/- 28.67 m/s
 Vz =    16955.66 +/- 110.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.030778e+03, -1.278472e+02, +6.572699e+02, +4.382978e+02, +8.056400e+02, +4.755360e+02
-1.278472e+02, +3.455711e+02, +5.837917e+02, +1.554095e+02, +3.054403e+02, +1.210780e+03
+6.572699e+02, +5.837917e+02, +4.055221e+03, +3.805819e+02, +1.184844e+03, +6.950192e+03
+4.382978e+02, +1.554095e+02, +3.805819e+02, +5.442641e+02, +8.596241e+02, +2.867890e+02
+8.056400e+02, +3.054403e+02, +1.184844e+03, +8.596241e+02, +1.506713e+03, +1.623409e+03
+4.755360e+02, +1.210780e+03, +6.950192e+03, +2.867890e+02, +1.623409e+03, +1.295059e+04

Timing offsets (from input data):
    UK000F: -0.000688 s
    UK002B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-04 02:00:41.958909 UTC
  Lon     = +-1.092916 +/- 0.0003 deg
  Lat     = +51.438868 +/- 0.0003 deg
  Lat geo = +51.254035 +/- 0.0003 deg
  Ht      =   99507.86 +/- 57.90 m

  JD dynamic   = 2459461.584619709756 
  LST apparent = 12.4988230450 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 332.03830 +/- 0.0891 deg
  Dec       = +31.53592 +/- 0.1698 deg
  Azimuth   = 251.87475 +/- 0.1961 deg
  Elevation = +54.41122 +/- 0.1466 deg
  Vavg      =  31.36079 +/- 0.0364 km/s
  Vinit     =  32.41796 +/- 0.0534 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 332.50704 +/- 0.0891 deg
  Dec       = +31.71294 +/- 0.1698 deg
  Azimuth   = 251.59180 +/- 0.1961 deg
  Elevation = +54.81593 +/- 0.1466 deg
  Vavg      =  31.19855 +/- 0.0364 km/s
  Vinit     =  32.25572 +/- 0.0534 km/s
Radiant (geocentric, J2000):
  R.A.   = 330.86435 +/- 0.0919 deg
  Dec    = +30.60787 +/- 0.1783 deg
  Vg     =  30.45671 +/- 0.0569 km/s
  Vinf   =  32.41796 +/- 0.0534 km/s
  Zc     =  35.53166 +/- 0.1462 deg
  Zg     =  36.67691 +/- 0.1551 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 346.39441 +/- 0.1577 deg
  Bg     = +39.33293 +/- 0.1519 deg
  Vh     =  41.24044 +/- 0.0239 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 292.43715 +/- 0.0670 deg
  Bh     = +27.91333 +/- 0.1496 deg
  Vh_x   = -13.90896 +/- 0.0236 km/s
  Vh_y   =  33.68366 +/- 0.0625 km/s
  Vh_z   = -19.30611 +/- 0.0974 km/s
Orbit:
  La Sun = 161.478633 +/- -0.0000 deg
  a      =  15.189191 +/- 0.4547 AU
  e      =   0.956393 +/- 0.0014
  i      =  35.048246 +/- 0.1890 deg
  peri   = 252.670238 +/- 0.1594 deg
  node   = 161.483202 +/- 0.0000 deg
  Pi     =  54.153440 +/- 0.1594 deg
  q      =   0.662358 +/- 0.0011 AU
  f      = 287.325991 +/- 0.1594 deg
  M      = 359.358045 +/- 0.0346 deg
  Q      =  29.716024 +/- 0.9084 AU
  n      =   0.016650 +/- 0.0009 deg/day
  T      =  59.197395 +/- 2.5824 years
  Last perihelion JD = 2437877.916258 (1962-08-01 09:59:24.688410) +/- 943.3089 days
  Tj     =   1.159650 +/- 0.0108
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.101378e-06, +1.530524e-06, -1.421879e+00, -9.586832e-12, -4.084970e-06, +8.749336e-08
q   , +1.530524e-06, +1.206861e-06, -1.040692e+00, -1.123750e-10, -3.170777e-06, +9.754602e-07
Tp  , -1.421879e+00, -1.040692e+00, +9.646638e+05, +1.046452e-05, +2.774753e+00, -9.333790e-02
node, -9.586832e-12, -1.123750e-10, +1.046452e-05, +1.571223e-13, +2.423765e-10, -1.358387e-09
peri, -4.084970e-06, -3.170777e-06, +2.774753e+00, +2.423765e-10, +8.355970e-06, -2.105637e-06
i   , +8.749336e-08, +9.754602e-07, -9.333790e-02, -1.358387e-09, -2.105637e-06, +1.174409e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.024335
 a2 = 14.423340

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 2.653e-06 s
  Stddev    = 1.63e-03 s

Begin point on the trajectory:
  Lon =    -1.093415 +/- 0.0002 deg
  Lat =    51.438766 +/- 0.0003 deg
  Ht  = 99559.64 +/- 49.85 m
End point on the trajectory:
  Lon =    -0.925271 +/- 0.0002 deg
  Lat =    51.473602 +/- 0.0002 deg
  Ht  = 81874.59 +/- 14.37 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.045282,  13.437944,    91306.49,    82137.44,          0.015949,     10.92,     25.93,              42.58, 1.0000,   False,    True, {"ff_name": "FF_UK000F_20210904_020039_540_0571392.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.020886,  14.677526,    99559.64,    81874.59,          0.018737,     38.20,      5.74,              61.78, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210904_020040_749_0601344.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,     UK000F,       0,  0.312590, 2459461.583822458982,  24.57699,  23.43777,              156.98564,  60.03065,       156.96404,       60.04482,     24.57699,     +23.43777,      24.58428,      +23.45428,  3942543.11,   879670.72,  5036695.51,      51.455025,       -1.015037,   91306.49,  105045.19,       0.00,            10087.91,    49.83,      0.00,           31516.32,    -30.10,     12.67,          64.12,  +0.31,  +0.20
  1,     UK000F,       0,  0.352866, 2459461.583822925109,  25.07833,  23.26663,              156.19270,  59.74277,       156.19117,       59.74376,     25.07833,     +23.26663,      25.07901,      +23.26779,  3941610.84,   880165.62,  5036047.80,      51.457008,       -1.005473,   90300.00,  104200.01,    1238.37,            11326.28,   -17.46,  30747.14,           31516.32,     -2.10,      0.88,           4.51,  +0.20,  +0.11
  2,     UK000F,       0,  0.393150, 2459461.583823391236,  25.59286,  23.08776,              155.39161,  59.44058,       155.40971,       59.42906,     25.59286,     +23.08776,      25.58709,      +23.07413,  3940666.36,   880667.00,  5035391.60,      51.459016,       -0.995777,   89280.39,  103351.70,    2492.98,            12580.89,   -68.78,  31144.05,           31516.32,     24.51,    -10.33,          53.08,  +0.12,  +0.05
  3,     UK000F,       0,  0.433490, 2459461.583823858295,  26.12182,  22.84698,              154.61136,  59.07168,       154.58762,       59.08656,     26.12182,     +22.84698,      26.13037,      +22.86474,  3939670.90,   881195.44,  5034699.98,      51.461133,       -0.985544,   88205.82,  102466.60,    3815.30,            13903.21,   -54.20,  32779.36,           31516.32,    -31.72,     13.34,          69.28,  +0.10,  +0.05
  4,     UK000F,       0,  0.473814, 2459461.583824324887,  26.68043,  22.63456,              153.77717,  58.71837,       153.75961,       58.72921,     26.68043,     +22.63456,      26.68707,      +22.64762,  3938665.30,   881729.27,  5034001.32,      51.463271,       -0.975202,   87120.40,  101581.98,    5151.08,            15238.99,   -25.64,  33126.22,           31952.50,    -23.15,      9.74,          51.00,  +0.12,  +0.09
  5,     UK000F,       0,  0.514122, 2459461.583824791480,  27.18539,  22.42558,              153.04397,  58.37944,       153.01549,       58.39681,     27.18539,     +22.42558,      27.19594,      +22.44665,  3937757.17,   882211.35,  5033370.38,      51.465201,       -0.965874,   86140.23,  100791.22,    6357.39,            16445.30,  -126.04,  29927.28,           31787.72,    -37.13,     15.61,          82.43,  +0.09,  +0.07
  6,     UK000F,       0,  0.554454, 2459461.583825258538,  27.76970,  22.21512,              152.19036,  58.01324,       152.18789,       58.01473,     27.76970,     +22.21512,      27.77156,      +22.21693,  3936744.98,   882748.67,  5032667.14,      51.467353,       -0.955454,   85047.83,   99919.78,    7701.93,            17789.84,   -88.97,  33336.88,           31894.96,     -3.18,      1.34,           7.12,  +0.09,  +0.09
  7,     UK000F,       0,  0.594786, 2459461.583825725131,  28.34349,  22.00405,              151.36767,  57.64544,       151.38907,       57.63274,     28.34349,     +22.00405,      28.33733,      +21.98837,  3935763.39,   883269.75,  5031985.16,      51.469439,       -0.945349,   83988.53,   99084.52,    9005.83,            19093.74,   -92.56,  32329.05,           31975.82,     27.25,    -11.48,          61.55,  +0.14,  +0.16
  8,     UK000F,       0,  0.635110, 2459461.583826191723,  28.88345,  21.79011,              150.61430,  57.28130,       150.64366,       57.26410,     28.88345,     +21.79011,      28.87468,      +21.76867,  3934842.50,   883758.61,  5031345.35,      51.471396,       -0.935876,   82994.79,   98309.82,   10229.10,            20317.01,  -176.51,  30336.05,           31904.21,     37.01,    -15.60,          84.28,  +0.28,  +0.32
  9,     UK000F,       0,  0.675402, 2459461.583826658316,  29.34484,  21.58254,              149.99449,  56.94420,       150.00482,       56.93821,     29.34484,     +21.58254,      29.34278,      +21.57501,  3934047.98,   884180.38,  5030793.35,      51.473084,       -0.927723,   82137.44,   97648.22,   11284.49,            21372.40,  -427.31,  26193.55,           31556.47,     12.93,     -5.44,          29.62,  +1.13,  +1.18
  0,     UK002B,       0,  0.000000, 2459461.583818968851,  79.68094,  80.21271,               15.34564,  53.61161,        15.34215,       53.61024,     79.68094,     +80.21271,      79.68536,      +80.21500,  3950185.37,   875613.81,  5042005.12,      51.438766,       -1.093415,   99559.64,  123137.68,       0.00,               63.67,   159.13,      0.00,           32128.90,      0.79,      5.27,           8.93,  +3.04,  +2.59
  1,     UK002B,       0,  0.040488, 2459461.583819437306,  82.71587,  79.96139,               15.89394,  53.13304,        15.86715,       53.12265,     82.71587,     +79.96139,      82.76287,      +79.97861,  3949120.59,   876179.05,  5041265.34,      51.441032,       -1.082504,   98409.48,  122475.17,    1414.39,             1350.72,   133.64,  34933.58,           32128.90,      6.03,     40.48,          68.92,  +1.91,  +1.47
  2,     UK002B,       0,  0.080932, 2459461.583819905762,  85.35855,  79.71415,               16.37559,  52.69247,        16.33435,       52.67654,     85.35855,     +79.71415,      85.43711,      +79.74019,  3948160.27,   876688.84,  5040598.14,      51.443076,       -1.072675,   97372.23,  121888.29,    2690.03,             2626.36,    98.17,  31540.93,           32128.90,      9.28,     62.38,         106.73,  +1.35,  +0.92
  3,     UK002B,       0,  0.121360, 2459461.583820373751,  87.87083,  79.48396,               16.78643,  52.24973,        16.77491,       52.24530,     87.87083,     +79.48396,      87.89358,      +79.49110,  3947244.09,   877175.19,  5039961.61,      51.445025,       -1.063302,   96382.72,  121338.01,    3907.04,             3843.37,     4.59,  30103.08,           32128.90,      2.60,     17.45,          29.98,  +0.99,  +0.57
  4,     UK002B,       0,  0.161804, 2459461.583820841741,  90.28225,  79.20636,               17.23511,  51.80301,        17.22159,       51.79782,     90.28225,     +79.20636,      90.31056,      +79.21458,  3946305.63,   877673.38,  5039309.59,      51.447022,       -1.053694,   95369.21,  120784.37,    5153.64,             5089.97,   -59.93,  30822.80,           31645.61,      3.06,     20.50,          35.40,  +0.95,  +0.54
  5,     UK002B,       0,  0.202300, 2459461.583821310196,  92.87664,  78.89428,               17.69465,  51.29458,        17.70754,       51.29951,     92.87664,     +78.89428,      92.84750,      +78.88663,  3945274.76,   878220.62,  5038593.38,      51.449215,       -1.043118,   94255.99,  120188.24,    6522.99,             6459.32,    -3.37,  33814.54,           31817.71,     -2.94,    -19.59,          34.00,  +0.77,  +0.37
  6,     UK002B,       0,  0.242780, 2459461.583821778651,  95.14456,  78.54119,               18.18263,  50.81772,        18.16993,       50.81289,     95.14456,     +78.54119,      95.17344,      +78.54856,  3944281.52,   878747.88,  5037903.30,      51.451328,       -1.032930,   93183.46,  119625.64,    7842.37,             7778.70,     3.73,  32593.31,           31962.31,      2.89,     19.34,          33.72,  +0.63,  +0.24
  7,     UK002B,       0,  0.283264, 2459461.583822247572,  97.38185,  78.19819,               18.61412,  50.32183,        18.62229,       50.32493,     97.38185,     +78.19819,      97.36259,      +78.19356,  3943298.29,   879269.83,  5037220.18,      51.453419,       -1.022842,   92121.83,  119080.32,    9148.44,             9084.77,    -2.61,  32261.38,           32047.48,     -1.87,    -12.47,          21.84,  +0.37,  -0.01
  8,     UK002B,       0,  0.323756, 2459461.583822716027,  99.49782,  77.82445,               19.05783,  49.82014,        19.07367,       49.82613,     99.49782,     +77.82445,      99.46009,      +77.81570,  3942305.88,   879796.65,  5036530.69,      51.455530,       -1.012653,   91050.36,  118541.82,   10466.70,            10403.03,     2.98,  32556.18,           32121.16,     -3.64,    -24.23,          42.64,  +0.45,  +0.08
  9,     UK002B,       0,  0.364228, 2459461.583823184483, 101.42983,  77.45562,               19.46728,  49.33381,        19.49816,       49.34545,    101.42983,     +77.45562,     101.35551,      +77.43896,  3941360.92,   880298.29,  5035874.15,      51.457539,       -1.002956,   90030.18,  118040.20,   11721.94,            11658.27,   -53.79,  31015.04,           32098.31,     -7.12,    -47.36,          83.68,  +0.19,  -0.17
 10,     UK002B,       0,  0.404752, 2459461.583823653404, 103.40855,  77.03043,               19.91680,  48.80005,        19.95630,       48.81488,    103.40855,     +77.03043,     103.31288,      +77.00967,  3940330.69,   880845.19,  5035158.39,      51.459730,       -0.992365,   88918.05,  117506.23,   13090.44,            13026.77,     1.00,  33770.04,           32161.95,     -9.15,    -60.73,         107.80,  +0.24,  -0.11
 11,     UK002B,       0,  0.445224, 2459461.583824121859, 105.07476,  76.63160,               20.31993,  48.31846,        20.36128,       48.33394,    105.07476,     +76.63160,     104.97444,      +76.61038,  3939407.37,   881335.33,  5034516.89,      51.461693,       -0.982886,   87921.37,  117038.77,   14316.93,            14253.26,   -84.53,  30304.64,           32127.21,     -9.61,    -63.73,         113.58,  +0.29,  -0.05
 12,     UK002B,       0,  0.485728, 2459461.583824590780, 106.69618,  76.18839,               20.75688,  47.81222,        20.78313,       47.82202,    106.69618,     +76.18839,     106.63289,      +76.17525,  3938435.56,   881851.22,  5033841.71,      51.463759,       -0.972896,   86872.42,  116558.67,   15607.83,            15544.16,  -106.69,  31870.96,           32097.76,     -6.11,    -40.58,          72.61,  +0.21,  -0.12
 13,     UK002B,       0,  0.526284, 2459461.583825060166, 108.46327,  75.70491,               21.19295,  47.23681,        21.24043,       47.25448,    108.46327,     +75.70491,     108.34856,      +75.68179,  3937370.90,   882416.40,  5033102.01,      51.466022,       -0.961931,   85723.36,  116047.02,   17022.07,            16958.40,    -7.19,  34871.30,           32158.67,    -11.12,    -73.62,         132.34,  +0.17,  -0.15
 14,     UK002B,       0,  0.566788, 2459461.583825529087, 109.85600,  75.23772,               21.62119,  46.73187,        21.64432,       46.74046,    109.85600,     +75.23772,     109.80104,      +75.22672,  3936417.09,   882922.73,  5032439.33,      51.468049,       -0.952120,   84693.98,  115600.94,   18289.07,            18225.40,   -53.25,  31280.84,           32176.29,     -5.42,    -35.98,          64.93,  +0.33,  +0.02
 15,     UK002B,       0,  0.607268, 2459461.583825997543, 111.11863,  74.78731,               22.01684,  46.24683,        22.02216,       46.24880,    111.11863,     +74.78731,     111.10710,      +74.78483,  3935513.74,   883402.28,  5031811.71,      51.469969,       -0.942834,   83719.12,  115189.41,   19489.03,            19425.36,  -165.57,  29643.20,           32132.19,     -1.25,     -8.30,          15.03,  +0.45,  +0.14
 16,     UK002B,       0,  0.647760, 2459461.583826465998, 112.37283,  74.32893,               22.39617,  45.74468,        22.40054,       45.74630,    112.37283,     +74.32893,     112.36384,      +74.32695,  3934599.32,   883887.70,  5031176.40,      51.471913,       -0.933428,   82732.37,  114784.01,   20703.71,            20640.04,  -263.56,  29997.99,           32060.07,     -1.03,     -6.83,          12.41,  +0.76,  +0.46
 17,     UK002B,       0,  0.688188, 2459461.583826933987, 113.40027,  73.92062,               22.72693,  45.30651,        22.72505,       45.30582,    113.40027,     +73.92062,     113.40635,      +73.92146,  3933804.40,   884309.69,  5030624.11,      51.473602,       -0.925271,   81874.59,  114440.33,   21759.64,            21695.97,  -518.22,  26118.81,           31905.40,      0.44,      2.95,           5.38,  +2.61,  +2.32

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.