Orbital Analysis for matched events on 20210904_022957.012_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 67.82° Bg 14.93° Vg 66.26km/s
mass 0.01387g, abs. mag 0.1
Path Details
------------
start -1.06° 50.53° 112.86km
end   -1.22° 50.54° 96.11km

Orbit Details
-------------
Semimajor axis 3.32A.U., eccentricity 0.70, inclination 153.57°, Period 6.04Y, LA Sun 161.50°, last Perihelion 2015-09-02

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: 2459461.604132086039
Time: 2021-09-04 02:29:57.051542 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0009 and UK002D
 Convergence angle = 31.20992 deg
 R.A. =  63.74500  Dec = +36.63284 deg

Best intersection: Stations UK0009 and UK002D with Qconv = 31.21 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3889139.46 +/- 88.48 m
 Y =   1406220.89 +/- 23.46 m
 Z =   4988965.08 +/- 23.79 m
 Vx =    24339.13 +/- 377.31 m/s
 Vy =    48191.92 +/- 265.16 m/s
 Vz =    39977.25 +/- 240.10 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.546410e+03, +1.909218e+03, +1.872539e+03, +3.478775e+04, +8.582425e+03, +7.443305e+03
+1.909218e+03, +5.951885e+02, +3.993196e+02, +8.225470e+03, +2.342102e+03, +1.278399e+03
+1.872539e+03, +3.993196e+02, +5.935245e+02, +6.577682e+03, +1.171425e+03, +2.071260e+03
+3.478775e+04, +8.225470e+03, +6.577682e+03, +1.543507e+05, +4.066286e+04, +2.784298e+04
+8.582425e+03, +2.342102e+03, +1.171425e+03, +4.066286e+04, +1.246236e+04, +4.944548e+03
+7.443305e+03, +1.278399e+03, +2.071260e+03, +2.784298e+04, +4.944548e+03, +8.646329e+03

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK0009: 0.000000 s
    UK002D: 0.000033 s

Reference point on the trajectory:
  Time: 2021-09-04 02:29:57.051542 UTC
  Lon     = +-1.045854 +/- 0.0002 deg
  Lat     = +50.528878 +/- 0.0005 deg
  Lat geo = +50.343251 +/- 0.0005 deg
  Ht      =  114689.88 +/- 73.28 m

  JD dynamic   = 2459461.604933281895 
  LST apparent = 19.8787926497 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  63.20413 +/- 0.3130 deg
  Dec       = +36.51865 +/- 0.1008 deg
  Azimuth   =  97.54340 +/- 0.3974 deg
  Elevation = +56.20387 +/- 0.1538 deg
  Vavg      =  64.65600 +/- 0.2994 km/s
  Vinit     =  67.17912 +/- 0.2443 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  63.43606 +/- 0.3130 deg
  Dec       = +36.41367 +/- 0.1008 deg
  Azimuth   =  97.48318 +/- 0.3974 deg
  Elevation = +55.99249 +/- 0.1538 deg
  Vavg      =  64.82277 +/- 0.2994 km/s
  Vinit     =  67.34589 +/- 0.2443 km/s
Radiant (geocentric, J2000):
  R.A.   =  63.08224 +/- 0.3161 deg
  Dec    = +36.31607 +/- 0.1004 deg
  Vg     =  66.25720 +/- 0.2478 km/s
  Vinf   =  67.17912 +/- 0.2443 km/s
  Zc     =  33.77220 +/- 0.1549 deg
  Zg     =  34.01253 +/- 0.1578 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.81993 +/- 0.2737 deg
  Bg     = +14.92802 +/- 0.0688 deg
  Vh     =  38.62326 +/- 0.2520 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  63.99373 +/- 0.4825 deg
  Bh     = +26.22925 +/- 0.1742 deg
  Vh_x   = -15.19136 +/- 0.3746 km/s
  Vh_y   = -31.13825 +/- 0.1197 km/s
  Vh_z   = -17.07009 +/- 0.0733 km/s
Orbit:
  La Sun = 161.498321 +/- nan deg
  a      =   3.317188 +/- 0.1974 AU
  e      =   0.701028 +/- 0.0222
  i      = 153.574961 +/- 0.1566 deg
  peri   = 196.349825 +/- 0.7963 deg
  node   = 161.495805 +/- 0.0000 deg
  Pi     = 357.845630 +/- 0.7963 deg
  q      =   0.991746 +/- 0.0017 AU
  f      = 343.645532 +/- 0.7963 deg
  M      = 357.926931 +/- 0.1221 deg
  Q      =   5.642630 +/- 0.3966 AU
  n      =   0.163136 +/- 0.0186 deg/day
  T      =   6.041653 +/- 0.5154 years
  Last perihelion JD = 2457267.560450 (2015-09-02 01:27:02.884364) +/- 187.7396 days
  Tj     =   0.549161 +/- 0.1199
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.425760e-04, -4.256722e-05, -4.599246e+00, -8.808746e-09, +3.370829e-04, +4.949410e-05
q   , -4.256722e-05, +3.373775e-06, +3.619026e-01, +7.450761e-10, -2.673915e-05, -4.188000e-06
Tp  , -4.599246e+00, +3.619026e-01, +3.923299e+04, +7.677867e-05, -2.858021e+00, -4.313398e-01
node, -8.808746e-09, +7.450761e-10, +7.677867e-05, +2.658276e-13, -5.910019e-09, -1.494031e-09
peri, +3.370829e-04, -2.673915e-05, -2.858021e+00, -5.910019e-09, +2.122891e-04, +3.322556e-05
i   , +4.949410e-05, -4.188000e-06, -4.313398e-01, -1.494031e-09, +3.322556e-05, +8.397312e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.001156
 a2 = 36.900257

Mean time residuals from time vs. length:
  Station with reference time: UK0009
  Avg. res. = 4.072e-06 s
  Stddev    = 2.02e-03 s

Begin point on the trajectory:
  Lon =    -1.062691 +/- 0.0001 deg
  Lat =    50.530298 +/- 0.0004 deg
  Ht  = 112859.05 +/- 66.93 m
End point on the trajectory:
  Lon =    -1.218583 +/- 0.0001 deg
  Lat =    50.543216 +/- 0.0003 deg
  Ht  = 96113.25 +/- 32.04 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
    UK0001,    True,    -1.778230,    50.857470,   24.00,  19.365357,   4.351238,   109969.82,    95072.24,          0.045037,       nan,       nan,              15.84, 0.0000,    True,    True, {"ff_name": "FF_UK0001_20210904_022952_432_0642048.fits"}
    UK0009,   False,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,   112859.05,    96113.25,          0.010462,     24.50,      2.90,              49.10, 1.0000,    True,    True, {"ff_name": "FF_UK0009_20210904_022955_729_0472832.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.782194,  17.631219,   109502.60,    96439.53,          0.007826,     15.76,     11.39,              33.35, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210904_022952_557_0640256.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,     UK0001,       1,  0.086568, 2459461.604133088142,  46.15540,  29.47853,              126.34606,  60.60480,       126.33822,       60.64850,     46.15540,     +29.47853,      46.13001,      +29.51625,  3887081.34,  1402145.79,  4985584.61,      50.532535,       -1.089485,  109969.82,  125800.99,       0.00,             5680.66,   624.56,      0.00,           62404.35,    -24.55,    -93.14,         157.93,  +4.91,  +4.41
  1,     UK0001,       1,  0.126452, 2459461.604133549612,  45.97742,  29.36330,              126.73951,  60.60137,       126.72839,       60.66887,     45.97742,     +29.36330,      45.93807,      +29.42142,  3886540.21,  1401074.33,  4984695.79,      50.533495,       -1.101083,  108729.01,  124360.60,    1493.60,             7174.26,  -561.21,  37448.68,           62404.35,    -37.62,   -142.07,         243.76,  +3.52,  +3.05
  2,     UK0001,       1,  0.166164, 2459461.604134009220,  45.55483,  29.18994,              127.55754,  60.67239,       127.55293,       60.70429,     45.55483,     +29.18994,      45.53668,      +29.21737,  3885428.55,  1398873.24,  4982869.89,      50.535465,       -1.124748,  106180.37,  121410.99,    4561.91,            10242.57,  -160.72,  77264.00,           62404.35,    -17.20,    -65.56,         115.15,  +2.28,  +1.86
  3,     UK0001,       1,  0.205932, 2459461.604134469293,  45.19913,  28.98427,              128.31841,  60.68044,       128.31218,       60.73283,     45.19913,     +28.98427,      45.16894,      +29.02918,  3884453.53,  1396942.68,  4981268.41,      50.537190,       -1.145541,  103945.33,  118828.58,    7253.09,            12933.75,  -141.12,  67672.02,           62404.35,    -27.71,   -105.25,         188.93,  +1.55,  +1.18
  4,     UK0001,       1,  0.245668, 2459461.604134929366,  44.80483,  28.78996,              129.12497,  60.71397,       129.12073,       60.75839,     44.80483,     +28.78996,      44.77948,      +28.82794,  3883461.22,  1394977.89,  4979638.53,      50.538942,       -1.166716,  101671.00,  116205.82,    9991.99,            15672.65,   -71.64,  68927.48,           64729.80,    -22.90,    -87.23,         160.08,  +1.19,  +0.86
  5,     UK0001,       1,  0.285388, 2459461.604135388974,  44.38598,  28.57567,              129.99333,  60.73953,       129.99051,       60.78031,     44.38598,     +28.57567,      44.36290,      +28.61047,  3882442.71,  1392961.22,  4977965.62,      50.540739,       -1.188463,   99336.97,  113519.95,   12803.22,            18483.87,    71.22,  70775.99,           66257.40,    -20.49,    -78.20,         146.89,  +1.18,  +0.90
  6,     UK0001,       1,  0.325124, 2459461.604135849047,  43.99455,  28.36154,              130.82241,  60.74839,       130.82035,       60.79631,     43.99455,     +28.36154,      43.96730,      +28.40233,  3881515.73,  1391125.77,  4976443.04,      50.542372,       -1.208285,   97213.00,  111080.72,   15361.81,            21042.47,   -39.61,  64389.82,           66603.42,    -23.57,    -89.89,         172.55,  +1.43,  +1.20
  7,     UK0001,       1,  0.364816, 2459461.604136308655,  43.55115,  28.18129,              131.69521,  60.80695,       131.69520,       60.80759,     43.55115,     +28.18129,      43.55229,      +28.18183,  3880581.29,  1389275.56,  4974908.21,      50.544015,       -1.228280,   95072.24,  108627.76,   17940.99,            23621.65,  -126.90,  64979.92,           66612.59,     -0.30,     -1.17,           2.30,  +4.58,  +4.40
  0,     UK0009,       1,  0.000000, 2459461.604132086039,  14.09448,  15.17281,              189.75681,  53.59305,       189.75592,       53.59246,     14.09448,     +15.17281,      14.09495,      +15.17217,  3889143.94,  1406229.77,  4988972.45,      50.528870,       -1.045596,  114700.16,  141725.41,       0.00,               12.37,   771.83,      0.00,           60836.92,      0.23,      1.94,           2.85,  +6.12,  +5.36
  1,     UK0009,       0,  0.039292, 2459461.604132540990,  13.50805,  14.79390,              190.62727,  53.15170,       190.60249,       53.13559,     13.50805,     +14.79390,      13.52149,      +14.77613,  3888341.22,  1404640.38,  4987653.98,      50.530298,       -1.062691,  112859.05,  140266.41,    2215.59,             2203.22,   323.08,  56387.82,           60836.92,      6.30,     53.29,          78.91,  +3.68,  +2.95
  2,     UK0009,       0,  0.078552, 2459461.604132995009,  12.89190,  14.34729,              191.51616,  52.63450,       191.50765,       52.62903,     12.89190,     +14.34729,      12.89679,      +14.34121,  3887481.54,  1402938.18,  4986241.94,      50.531825,       -1.081000,  110887.50,  138726.20,    4588.44,             4576.07,    58.47,  60439.28,           60836.92,      2.14,     18.08,          27.07,  +1.69,  +0.98
  3,     UK0009,       0,  0.117720, 2459461.604133448564,  12.20291,  13.85830,              192.49275,  52.06025,       192.48905,       52.05791,     12.20291,     +13.85830,      12.20539,      +13.85567,  3886547.27,  1401088.33,  4984707.40,      50.533483,       -1.100897,  108745.22,  137079.44,    7167.12,             7154.76,     5.89,  65836.58,           60836.92,      0.92,      7.75,          11.74,  +1.01,  +0.33
  4,     UK0009,       0,  0.156856, 2459461.604133901652,  11.49053,  13.34711,              193.48010,  51.45425,       193.48264,       51.45584,     11.49053,     +13.34711,      11.48982,      +13.34892,  3885599.13,  1399210.99,  4983150.08,      50.535163,       -1.121102,  106571.43,  135438.16,    9784.11,             9771.74,    -6.25,  66868.98,           62526.08,     -0.62,     -5.27,           8.08,  +0.41,  -0.25
  5,     UK0009,       0,  0.195976, 2459461.604134354275,  10.76896,  12.82780,              194.45844,  50.83221,       194.46487,       50.83617,     10.76896,     +12.82780,      10.76632,      +12.83236,  3884659.21,  1397349.93,  4981606.25,      50.536826,       -1.141147,  104416.79,  133841.99,   12378.41,            12366.04,   -39.99,  66316.53,           63549.74,     -1.56,    -13.15,          20.41,  +0.05,  -0.58
  6,     UK0009,       0,  0.235036, 2459461.604134806432,   9.99919,  12.27969,              195.48069,  50.16723,       195.48163,       50.16780,      9.99919,     +12.27969,       9.99967,      +12.28035,  3883682.52,  1395416.07,  4980002.02,      50.538552,       -1.161985,  102178.18,  132217.08,   15074.20,            15061.84,    31.78,  69016.72,           64499.42,     -0.23,     -1.90,           2.99,  -0.12,  -0.73
  7,     UK0009,       0,  0.274116, 2459461.604135258589,   9.24806,  11.73135,              196.45235,  49.49814,       196.45641,       49.50058,      9.24806,     +11.73135,       9.24702,      +11.73422,  3882742.59,  1393554.98,  4978458.17,      50.540210,       -1.182060,  100024.14,  130687.07,   17668.54,            17656.17,     0.76,  66385.22,           65052.47,     -0.96,     -8.12,          12.90,  -0.24,  -0.82
  8,     UK0009,       0,  0.313180, 2459461.604135710746,   8.48496,  11.17149,              197.41676,  48.80895,       197.42265,       48.81244,      8.48496,     +11.17149,       8.48307,      +11.17566,  3881806.63,  1391701.76,  4976920.85,      50.541859,       -1.202065,   97879.50,  129197.54,   20251.92,            20239.55,   -40.15,  66131.93,           65382.65,     -1.38,    -11.68,          18.78,  -0.07,  -0.63
  9,     UK0009,       0,  0.352404, 2459461.604136164766,   7.85216,  10.68928,              198.19482,  48.21489,       198.21616,       48.22744,      7.85216,     +10.68928,       7.84199,      +10.70440,  3881035.71,  1390175.34,  4975654.61,      50.543216,       -1.218583,   96113.25,  127997.41,   22379.74,            22367.37,  -547.36,  54248.01,           64942.40,     -4.99,    -42.07,          68.26,  +1.22,  +0.68
  0,     UK002D,       0,  0.100692, 2459461.604133251123,  39.17023,  10.27784,              151.07813,  45.77658,       151.08078,       45.77908,     39.17023,     +10.27784,      39.16808,      +10.27966,  3886877.59,  1401742.35,  4985249.95,      50.532897,       -1.093848,  109502.60,  151414.82,       0.00,             6243.05,   238.09,      0.00,           65400.21,     -4.82,     -6.67,          11.21,  +2.28,  +1.38
  1,     UK002D,       0,  0.141032, 2459461.604133718181,  38.84915,   9.84797,              151.69548,  45.46304,       151.69655,       45.46405,     38.84915,      +9.84797,      38.84871,       +9.84870,  3885981.85,  1399968.77,  4983778.69,      50.534485,       -1.112944,  107448.84,  149369.23,    2472.35,             8715.40,     0.43,  61287.90,           65400.21,     -1.92,     -2.65,           4.52,  +1.13,  +0.26
  2,     UK002D,       0,  0.181396, 2459461.604134185240,  38.51534,   9.38551,              152.33756,  45.11930,       152.34394,       45.12521,     38.51534,      +9.38551,      38.50997,       +9.38984,  3885054.93,  1398133.47,  4982256.22,      50.536126,       -1.132713,  105323.88,  147266.58,    5030.76,            11273.81,  -152.78,  63383.33,           65400.21,    -11.20,    -15.49,          26.77,  +0.79,  -0.05
  3,     UK002D,       0,  0.221820, 2459461.604134653229,  38.11421,   8.84863,              153.09271,  44.72032,       153.09451,       44.72197,     38.11421,      +8.84863,      38.11342,       +8.84984,  3883997.73,  1396040.19,  4980519.75,      50.537995,       -1.155256,  102900.61,  144887.09,    7948.77,            14191.82,    49.59,  72185.17,           65400.21,     -3.09,     -4.28,           7.51,  +0.57,  -0.24
  4,     UK002D,       0,  0.262220, 2459461.604135120753,  37.75656,   8.34679,              153.76744,  44.33883,       153.77635,       44.34691,     37.75656,      +8.34679,      37.74919,       +8.35277,  3883054.85,  1394173.27,  4978971.06,      50.539660,       -1.175394,  100739.71,  142781.58,   10551.24,            16794.29,   -61.98,  64417.60,           65815.48,    -15.02,    -20.78,          37.04,  +0.53,  -0.24
  5,     UK002D,       0,  0.302604, 2459461.604135587811,  37.36863,   7.85998,              154.46892,  43.97660,       154.45547,       43.96452,     37.36863,      +7.85998,      37.38261,       +7.85099,  3882130.94,  1392343.90,  4977453.53,      50.541288,       -1.195144,   98622.57,  140734.70,   13101.36,            19344.41,  -224.82,  63146.82,           65552.80,     22.25,     30.83,          55.72,  +0.42,  -0.32
  6,     UK002D,       0,  0.343036, 2459461.604136055801,  36.99005,   7.31976,              155.17007,  43.55675,       155.16700,       43.55401,     36.99005,      +7.31976,      36.99438,       +7.31772,  3881178.13,  1390457.32,  4975888.53,      50.542966,       -1.215522,   96439.53,  138641.65,   15731.24,            21974.29,  -311.13,  65044.39,           65404.46,      5.00,      6.92,          12.71,  +1.05,  +0.34

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.