Orbital Analysis for matched events on 20210813_220216.883_UK

Summary for Event
-----------------
shower ID 197 AUD
Lg 222.36° Bg 87.05° Vg 21.45km/s
mass 0.01064g, abs. mag 2.1
Path Details
------------
start -2.25° 50.44° 95.14km
end   -2.23° 50.42° 86.07km

Orbit Details
-------------
Semimajor axis 2.45A.U., eccentricity 0.59, inclination 35.09°, Period 3.83Y, LA Sun 141.07°, last Perihelion 2017-10-16

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: 2459440.418250970077
Time: 2021-08-13 22:02:16.924008 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 6.80432 deg
 R.A. = 269.19258  Dec = +58.26336 deg
Intersection 2 - Stations: UK000H and UK0038
 Convergence angle = 24.39407 deg
 R.A. = 268.00252  Dec = +65.30747 deg
Intersection 3 - Stations: UK002D and UK0038
 Convergence angle = 17.66007 deg
 R.A. = 264.43443  Dec = +67.66585 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 24.39 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1471657.20 +/- 38.09 m
 Y =  -3860071.62 +/- 399.59 m
 Z =   4968278.78 +/- 172.29 m
 Vx =     -547.33 +/- 122.29 m/s
 Vy =   -10634.27 +/- 363.87 m/s
 Vz =    21681.05 +/- 1125.39 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.642017e+03, -1.264167e+04, +5.652106e+03, +5.257393e+03, -3.594723e+04, +9.278164e+03
-1.264167e+04, +1.547352e+05, -6.774826e+04, -4.168868e+04, +4.424428e+05, -1.087037e+05
+5.652106e+03, -6.774826e+04, +3.024657e+04, +1.892141e+04, -1.922476e+05, +4.688206e+04
+5.257393e+03, -4.168868e+04, +1.892141e+04, +1.897223e+04, -1.224014e+05, +3.048908e+04
-3.594723e+04, +4.424428e+05, -1.922476e+05, -1.224014e+05, +1.304544e+06, -3.175604e+05
+9.278164e+03, -1.087037e+05, +4.688206e+04, +3.048908e+04, -3.175604e+05, +7.925231e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK002D: -0.002004 s
    UK0038: -0.002146 s

Reference point on the trajectory:
  Time: 2021-08-13 22:02:16.924008 UTC
  Lon     = +-2.256225 +/- 0.0016 deg
  Lat     = +50.442962 +/- 0.0017 deg
  Lat geo = +50.256688 +/- 0.0017 deg
  Ht      =   95885.78 +/- 376.64 m

  JD dynamic   = 2459440.419052176178 
  LST apparent = 290.8694112678 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 267.05366 +/- 0.8053 deg
  Dec       = +63.84269 +/- 1.9434 deg
  Azimuth   = 325.67276 +/- 5.4906 deg
  Elevation = +71.59911 +/- 1.2319 deg
  Vavg      =  23.58921 +/- 0.6617 km/s
  Vinit     =  24.15482 +/- 0.8104 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 268.55334 +/- 0.8053 deg
  Dec       = +64.09454 +/- 1.9434 deg
  Azimuth   = 327.58406 +/- 5.4906 deg
  Elevation = +71.97293 +/- 1.2319 deg
  Vavg      =  23.53740 +/- 0.6617 km/s
  Vinit     =  24.10302 +/- 0.8104 km/s
Radiant (geocentric, J2000):
  R.A.   = 264.93666 +/- 1.0558 deg
  Dec    = +64.48768 +/- 2.0689 deg
  Vg     =  21.44947 +/- 0.9015 km/s
  Vinf   =  24.15482 +/- 0.8104 km/s
  Zc     =  18.55500 +/- 1.2433 deg
  Zg     =  19.66541 +/- 1.3760 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 222.35782 +/- 16.1365 deg
  Bg     = +87.05132 +/- 1.7318 deg
  Vh     =  37.26552 +/- 1.0231 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 231.35360 +/- 1.1451 deg
  Bh     = +35.08774 +/- 0.4216 deg
  Vh_x   =  19.04348 +/- 0.1317 km/s
  Vh_y   =  23.81577 +/- 0.9096 km/s
  Vh_z   = -21.42135 +/- 0.8244 km/s
Orbit:
  La Sun = 141.070301 +/- -0.0000 deg
  a      =   2.446189 +/- 2.8411 AU
  e      =   0.585870 +/- 0.0910
  i      =  35.088054 +/- 0.4396 deg
  peri   = 180.627058 +/- 1.9960 deg
  node   = 141.075552 +/- 0.0001 deg
  Pi     = 321.702609 +/- 1.9960 deg
  q      =   1.013041 +/- 0.0010 AU
  f      = 359.366386 +/- 1.9960 deg
  M      = 359.865908 +/- 0.1906 deg
  Q      =   3.879336 +/- 5.6831 AU
  n      =   0.257614 +/- 0.0677 deg/day
  T      =   3.825917 +/- 12.2469 years
  Last perihelion JD = 2458043.499093 (2017-10-16 23:58:41.670511) +/- 4530.8169 days
  Tj     =   3.036772 +/- 0.4475
Shower association:
  IAU No.  =  197
  IAU code =  AUD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.846599e-03, -6.874652e-05, -1.911065e+02, -1.298659e-07, +3.236866e-03, +6.675511e-04
q   , -6.874652e-05, +6.935306e-07, +2.028823e+00, +1.145436e-09, -2.750972e-05, -5.914675e-06
Tp  , -1.911065e+02, +2.028823e+00, +8.563384e+06, +2.991003e-03, -7.085241e+01, -1.549812e+01
node, -1.298659e-07, +1.145436e-09, +2.991003e-03, +2.252251e-12, -5.528480e-08, -1.157076e-08
peri, +3.236866e-03, -2.750972e-05, -7.085241e+01, -5.528480e-08, +1.406494e-03, +2.835577e-04
i   , +6.675511e-04, -5.914675e-06, -1.549812e+01, -1.157076e-08, +2.835577e-04, +5.945413e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.350591
 a2 = 14.990260

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 2.324e-06 s
  Stddev    = 1.52e-03 s

Begin point on the trajectory:
  Lon =    -2.254295 +/- 0.0015 deg
  Lat =    50.441157 +/- 0.0015 deg
  Ht  = 95144.12 +/- 340.77 m
End point on the trajectory:
  Lon =    -2.232346 +/- 0.0007 deg
  Lat =    50.419043 +/- 0.0008 deg
  Ht  = 86071.66 +/- 158.42 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,   0.323877,  15.002906,    95144.12,    86071.66,          0.013149,     24.37,      3.20,              38.75, 0.3918,    True,    True, {"ff_name": "FF_UK000H_20210813_220215_495_0171008.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.003562,  27.193803,    93571.52,    87246.79,          0.027266,     66.67,      7.69,              58.57, 0.7281,    True,    True, {"ff_name": "FF_UK002D_20210813_220207_968_0167936.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.262231,  16.258710,    92241.42,    86872.67,          0.022441,     53.89,      3.29,              61.32, 0.7697,    True,    True, {"ff_name": "FF_UK0038_20210813_220209_837_0165120.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,       1,  0.000000, 2459440.418250970077, 271.68856,  23.54461,              216.45959,  58.73586,       216.42279,       58.74571,    271.68856,     +23.54461,     271.71196,      +23.54579,  1471657.07, -3860074.13,  4968283.90,      50.442975,       -2.256071,   95891.20,  111839.19,       0.00,                5.70,   141.38,      0.00,           24413.58,     -5.47,     41.58,          77.35,  +6.75,  +6.51
  1,     UK000H,       0,  0.040200, 2459440.418251435272, 271.72152,  23.28248,              216.20138,  58.50881,       216.20163,       58.50875,    271.72152,     +23.28248,     271.72152,      +23.28247,  1471674.91, -3859727.50,  4967577.20,      50.441157,       -2.254295,   95144.12,  111244.55,     787.33,              781.63,   -53.71,  19585.42,           24413.58,      0.04,     -0.28,           0.53,  +4.34,  +4.11
  2,     UK000H,       0,  0.080504, 2459440.418251901865, 271.73258,  22.89500,              215.88562,  58.15843,       215.87714,       58.16069,    271.73258,     +22.89500,     271.73835,      +22.89528,  1471700.83, -3859223.97,  4966550.60,      50.438515,       -2.251639,   94058.87,  110383.33,    1931.07,             1925.36,   116.48,  28377.67,           24413.58,     -1.26,      9.58,          18.05,  +3.10,  +2.89
  3,     UK000H,       0,  0.120756, 2459440.418252367526, 271.77639,  22.56549,              215.56708,  57.87253,       215.60630,       57.86209,    271.77639,     +22.56549,     271.75167,      +22.56421,  1471722.67, -3858799.72,  4965685.63,      50.436288,       -2.249427,   93144.49,  109662.24,    2894.72,             2889.02,   107.86,  23940.57,           24413.58,      5.81,    -44.27,          83.99,  +2.93,  +2.73
  4,     UK000H,       0,  0.160964, 2459440.418252833188, 271.77233,  22.30468,              215.37982,  57.63159,       215.39894,       57.62651,    271.77233,     +22.30468,     271.76067,      +22.30406,  1471739.61, -3858470.42,  4965014.27,      50.434560,       -2.247747,   92434.76,  109105.91,    3642.68,             3636.98,  -115.40,  18602.27,           23337.60,      2.84,    -21.58,          41.14,  +2.80,  +2.61
  5,     UK000H,       0,  0.201264, 2459440.418253299315, 271.78747,  21.92181,              215.07609,  57.28505,       215.09393,       57.28031,    271.78747,     +21.92181,     271.77675,      +21.92123,  1471764.27, -3857991.42,  4964037.69,      50.432045,       -2.245227,   91402.38,  108299.06,    4730.69,             4724.99,    -0.83,  26997.78,           23553.54,      2.64,    -20.13,          38.66,  +2.33,  +2.16
  6,     UK000H,       0,  0.241536, 2459440.418253765441, 271.79609,  21.58403,              214.82018,  56.97703,       214.83107,       56.97415,    271.79609,     +21.58403,     271.79002,      +21.58367,  1471785.70, -3857575.02,  4963188.73,      50.429857,       -2.243057,   90504.91,  107602.10,    5676.52,             5670.82,   -27.76,  23486.04,           23623.40,      1.61,    -12.28,          23.75,  +2.04,  +1.88
  7,     UK000H,       0,  0.281828, 2459440.418254232034, 271.79928,  21.21674,              214.55630,  56.63933,       214.54962,       56.64109,    271.79928,     +21.21674,     271.80482,      +21.21696,  1471808.68, -3857128.58,  4962278.55,      50.427512,       -2.240719,   89542.72,  106858.82,    6690.55,             6684.85,    13.03,  25167.03,           23781.26,     -0.99,      7.53,          14.65,  +2.14,  +2.00
  8,     UK000H,       0,  0.322100, 2459440.418254698161, 271.82863,  20.86540,              214.26726,  56.32514,       214.28455,       56.32057,    271.82863,     +20.86540,     271.81863,      +20.86483,  1471830.44, -3856705.71,  4961416.40,      50.425289,       -2.238513,   88631.31,  106159.04,    7651.07,             7645.37,     0.78,  23850.78,           23859.54,      2.56,    -19.51,          38.23,  +2.24,  +2.11
  9,     UK000H,       0,  0.362380, 2459440.418255164288, 271.80975,  20.52116,              214.06234,  55.99988,       214.03126,       56.00806,    271.80975,     +20.52116,     271.83174,      +20.52218,  1471851.35, -3856299.53,  4960588.27,      50.423153,       -2.236400,   87755.86,  105490.83,    8573.69,             8567.98,   -49.56,  22905.02,           23847.29,     -4.61,     35.06,          69.14,  +2.63,  +2.51
 10,     UK000H,       0,  0.402620, 2459440.418255629949, 271.81617,  20.21957,              213.85028,  55.72270,       213.81319,       55.73245,    271.81617,     +20.21957,     271.84239,      +20.22079,  1471869.51, -3855946.56,  4959868.64,      50.421297,       -2.234585,   86995.08,  104913.74,    9375.42,             9369.72,  -219.82,  19923.80,           23662.39,     -5.51,     41.85,          82.98,  +3.44,  +3.34
 11,     UK000H,       0,  0.442908, 2459440.418256096542, 271.85105,  19.85044,              213.55319,  55.39240,       213.54734,       55.39393,    271.85105,     +19.85044,     271.85679,      +19.85064,  1471891.57, -3855518.11,  4958995.13,      50.419043,       -2.232346,   86071.66,  104216.41,   10348.60,            10342.89,  -219.79,  24155.51,           23574.69,     -0.87,      6.59,          13.16,  +5.49,  +5.40
  0,     UK002D,       0,  0.105865, 2459440.418251764495, 278.14481,   3.16377,              197.43614,  40.56148,       197.39809,       40.56995,    278.14481,      +3.16377,     278.17512,       +3.16668,  1471712.47, -3858997.85,  4966089.59,      50.437328,       -2.250321,   93571.52,  142287.26,       0.00,             2438.97,    17.49,      0.00,           24752.39,     -8.57,     74.31,         108.44,  +3.75,  +2.98
  1,     UK002D,       0,  0.146133, 2459440.418252230622, 278.17595,   2.85393,              197.32000,  40.26290,       197.28922,       40.26976,    278.17595,      +2.85393,     278.20079,       +2.85630,  1471732.43, -3858610.06,  4965298.96,      50.435293,       -2.248313,   92735.71,  141867.88,     880.84,             3319.81,   -74.34,  21874.47,           24752.39,     -6.94,     60.19,          88.09,  +3.70,  +2.94
  2,     UK002D,       0,  0.186453, 2459440.418252697214, 278.19153,   2.48246,              197.20993,  39.90077,       197.15957,       39.91198,    278.19153,      +2.48246,     278.23222,       +2.48635,  1471756.07, -3858150.79,  4964362.60,      50.432882,       -2.245904,   91745.86,  141376.16,    1924.04,             4363.01,    -5.06,  25872.91,           24752.39,    -11.38,     98.59,         144.80,  +2.94,  +2.19
  3,     UK002D,       0,  0.226773, 2459440.418253164273, 278.22991,   2.10684,              197.07097,  39.53864,       197.02905,       39.54797,    278.22991,      +2.10684,     278.26421,       +2.11009,  1471779.94, -3857686.92,  4963416.88,      50.430445,       -2.243469,   90746.11,  140885.57,    2977.66,             5416.63,    74.64,  26131.51,           24752.39,     -9.48,     82.18,         121.12,  +2.74,  +2.00
  4,     UK002D,       0,  0.267033, 2459440.418253629934, 278.28193,   1.80895,              196.93438,  39.25527,       196.92701,       39.25691,    278.28193,      +1.80895,     278.28881,       +1.80953,  1471798.89, -3857318.68,  4962666.11,      50.428511,       -2.241569,   89952.43,  140501.01,    3814.10,             6253.07,   -61.40,  20775.87,           24133.24,     -1.67,     14.47,          21.38,  +2.77,  +2.03
  5,     UK002D,       0,  0.307373, 2459440.418254096992, 278.29275,   1.41327,              196.82822,  38.86812,       196.79287,       38.87598,    278.29275,      +1.41327,     278.32238,       +1.41603,  1471823.55, -3856839.58,  4961689.33,      50.425993,       -2.239048,   88919.85,  140005.76,    4902.32,             7341.29,    52.42,  26976.31,           24362.84,     -8.02,     69.49,         103.05,  +2.45,  +1.72
  6,     UK002D,       0,  0.347637, 2459440.418254563119, 278.31749,   1.10802,              196.72650,  38.57233,       196.69119,       38.58018,    278.31749,      +1.10802,     278.34736,       +1.11079,  1471842.56, -3856470.25,  4960936.33,      50.424051,       -2.237142,   88123.81,  139629.12,    5741.24,             8180.21,   -81.23,  20835.41,           24067.24,     -8.02,     69.47,         103.31,  +3.57,  +2.85
  7,     UK002D,       0,  0.387929, 2459440.418255029246, 278.37769,   0.77295,              196.57439,  38.25344,       196.57889,       38.25244,    278.37769,      +0.77295,     278.37550,       +0.77259,  1471863.50, -3856063.34,  4960106.73,      50.421911,       -2.235024,   87246.79,  139218.54,    6665.50,             9104.47,  -130.21,  22939.13,           23850.06,      1.02,     -8.86,          13.22,  +3.80,  +3.08
  0,     UK0038,       0,  0.164195, 2459440.418252442032, 294.68316,   2.43870,              174.78786,  40.96555,       174.79896,       40.96410,    294.68316,      +2.43870,     294.67540,       +2.43677,  1471744.23, -3858380.71,  4964831.38,      50.434089,       -2.247102,   92241.42,  139139.86,       0.00,             3840.74,    10.33,      0.00,           24034.86,      1.25,    -20.62,          30.63,  +3.89,  +3.17
  1,     UK0038,       0,  0.204499, 2459440.418252908159, 294.72684,   2.08668,              174.75678,  40.61162,       174.72597,       40.61565,    294.72684,      +2.08668,     294.75067,       +2.09204,  1471765.72, -3857963.18,  4963980.11,      50.431896,       -2.244927,   91341.51,  138735.34,     948.40,             4789.14,   -14.81,  23531.11,           24034.86,     -3.50,     57.36,          85.44,  +2.42,  +1.71
  2,     UK0038,       0,  0.244851, 2459440.418253375217, 294.80360,   1.68762,              174.68631,  40.20881,       174.64199,       40.21461,    294.80360,      +1.68762,     294.83793,       +1.69538,  1471790.30, -3857485.72,  4963006.66,      50.429388,       -2.242415,   90312.46,  138279.37,    2032.91,             5873.65,    95.01,  26876.28,           24034.86,     -5.05,     82.71,         123.60,  +2.88,  +2.18
  3,     UK0038,       0,  0.285127, 2459440.418253841344, 294.90627,   1.38872,              174.57527,  39.90442,       174.57910,       39.90392,    294.90627,      +1.38872,     294.90440,       +1.38805,  1471809.23, -3857117.93,  4962256.82,      50.427456,       -2.240519,   89519.75,  137932.69,    2868.31,             6709.06,   -42.45,  20741.96,           24034.86,      0.44,     -7.17,          10.74,  +2.30,  +1.60
  4,     UK0038,       0,  0.325443, 2459440.418254307937, 294.95217,   1.02511,              174.54371,  39.53873,       174.50591,       39.54367,    294.95217,      +1.02511,     294.98218,       +1.03178,  1471831.05, -3856693.86,  4961392.24,      50.425227,       -2.238306,   88605.77,  137538.28,    3831.54,             7672.28,   -53.04,  23891.93,           23772.04,     -4.32,     70.84,         106.43,  +5.05,  +4.36
  5,     UK0038,       0,  0.365735, 2459440.418254774529, 295.04778,   0.70439,              174.44512,  39.21286,       174.44008,       39.21352,    295.04778,      +0.70439,     295.05301,       +0.70528,  1471850.95, -3856307.34,  4960604.21,      50.423195,       -2.236303,   87772.69,  137183.57,    4709.48,             8550.23,  -148.35,  21789.51,           23413.87,     -0.58,      9.45,          14.24,  +5.07,  +4.38
  6,     UK0038,       0,  0.406051, 2459440.418255241122, 295.15654,   0.35709,              174.33266,  38.85957,       174.36875,       38.85485,    295.15654,      +0.35709,     295.13032,       +0.35065,  1471872.44, -3855889.76,  4959752.84,      50.420998,       -2.234126,   86872.67,  136805.70,    5657.99,             9498.73,  -173.67,  23526.71,           23298.01,      4.13,    -67.93,         102.60,  +4.56,  +3.88

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.