Orbital Analysis for matched events on 20211103_020304.789_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 332.05° Bg 48.94° Vg 11.27km/s
mass 0.06644g, abs. mag 2.3
best visual mag 2.5
Path Details
------------
start -3.04° 50.87° 99.39km
end   -2.96° 50.82° 95.82km

Orbit Details
-------------
Semimajor axis 2.58A.U., eccentricity 0.62, inclination 12.96°, Period 4.15Y, LA Sun 220.57°, last Perihelion 2017-09-17

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: 2459521.585472106468
Time: 2021-11-03 02:03:04.789999 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK003Z
 Convergence angle = 37.65197 deg
 R.A. = 326.39656  Dec = +45.14153 deg

Best intersection: Stations UK000T and UK003Z with Qconv = 37.65 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1381694.09 +/- 84.78 m
 Y =   3856109.41 +/- 36.20 m
 Z =   5001445.20 +/- 56.65 m
 Vx =     9290.00 +/- 160.93 m/s
 Vy =    -6472.58 +/- 164.70 m/s
 Vz =    11049.54 +/- 78.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.843230e+03, +2.970648e+03, +5.055569e+03, +1.522334e+04, +1.719337e+04, +2.880959e+03
+2.970648e+03, +1.747024e+03, +2.078770e+03, +5.820648e+03, +7.646128e+03, +1.840249e+03
+5.055569e+03, +2.078770e+03, +3.598132e+03, +9.159270e+03, +1.128426e+04, +2.157716e+03
+1.522334e+04, +5.820648e+03, +9.159270e+03, +3.543042e+04, +3.461172e+04, +7.114542e+03
+1.719337e+04, +7.646128e+03, +1.128426e+04, +3.461172e+04, +4.157089e+04, +8.247777e+03
+2.880959e+03, +1.840249e+03, +2.157716e+03, +7.114542e+03, +8.247777e+03, +3.343631e+03

Timing offsets (from input data):
    UK000T: 0.002510 s
    UK003Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:03:04.789999 UTC
  Lon     = +-3.040095 +/- 0.0010 deg
  Lat     = +50.868205 +/- 0.0002 deg
  Lat geo = +50.682576 +/- 0.0002 deg
  Ht      =   99396.36 +/- 79.76 m

  JD dynamic   = 2459521.586272847373 
  LST apparent = 70.2867384706 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 325.13406 +/- 1.1345 deg
  Dec       = +44.30103 +/- 0.1799 deg
  Azimuth   = 310.30266 +/- 0.6796 deg
  Elevation = +25.06873 +/- 0.5685 deg
  Vavg      =  14.79825 +/- 0.0893 km/s
  Vinit     =  15.82058 +/- 0.0613 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 324.72865 +/- 1.1345 deg
  Dec       = +45.03917 +/- 0.1799 deg
  Azimuth   = 311.08757 +/- 0.6796 deg
  Elevation = +25.42081 +/- 0.5685 deg
  Vavg      =  14.59340 +/- 0.0893 km/s
  Vinit     =  15.61573 +/- 0.0613 km/s
Radiant (geocentric, J2000):
  R.A.   = 314.89111 +/- 1.1729 deg
  Dec    = +34.70748 +/- 0.2840 deg
  Vg     =  11.26850 +/- 0.0854 km/s
  Vinf   =  15.82058 +/- 0.0613 km/s
  Zc     =  65.05142 +/- 0.5701 deg
  Zg     =  77.28436 +/- 0.7562 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 332.04785 +/- 1.4352 deg
  Bg     = +48.94303 +/- 0.3061 deg
  Vh     =  38.01367 +/- 0.0614 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 315.44216 +/- 0.3102 deg
  Bh     = +12.91651 +/- 0.0829 deg
  Vh_x   = -26.40098 +/- 0.1468 km/s
  Vh_y   =  25.99661 +/- 0.1474 km/s
  Vh_z   =  -8.49723 +/- 0.0622 km/s
Orbit:
  La Sun = 220.571903 +/- -0.0000 deg
  a      =   2.584191 +/- 0.0365 AU
  e      =   0.619514 +/- 0.0052
  i      =  12.961785 +/- 0.0841 deg
  peri   = 192.423170 +/- 0.7811 deg
  node   = 220.569306 +/- 0.0000 deg
  Pi     =  52.992476 +/- 0.7811 deg
  q      =   0.983250 +/- 0.0013 AU
  f      = 347.580793 +/- 0.7811 deg
  M      = 357.695804 +/- 0.1526 deg
  Q      =   4.185132 +/- 0.0731 AU
  n      =   0.237256 +/- 0.0048 deg/day
  T      =   4.154201 +/- 0.0889 years
  Last perihelion JD = 2458013.949680 (2017-09-17 10:47:32.382021) +/- 32.4956 days
  Tj     =   3.092001 +/- 0.0260
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.089561e-05, -3.605529e-06, -1.836519e-01, +7.601176e-08, +2.140864e-03, +2.492251e-04
q   , -3.605529e-06, +2.360367e-06, +1.572297e-02, -2.288255e-08, -1.463978e-03, -7.516465e-05
Tp  , -1.836519e-01, +1.572297e-02, +1.108774e+03, -4.059573e-04, -9.138283e+00, -1.330670e+00
node, +7.601176e-08, -2.288255e-08, -4.059573e-04, +6.936260e-10, +1.435803e-05, +2.280488e-06
peri, +2.140864e-03, -1.463978e-03, -9.138283e+00, +1.435803e-05, +9.092319e-01, +4.716194e-02
i   , +2.492251e-04, -7.516465e-05, -1.330670e+00, +2.280488e-06, +4.716194e-02, +7.497850e-03

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: UK003Z
  Avg. res. = 9.203e-06 s
  Stddev    = 3.03e-03 s

Begin point on the trajectory:
  Lon =    -3.040060 +/- 0.0010 deg
  Lat =    50.868186 +/- 0.0001 deg
  Ht  = 99394.84 +/- 80.32 m
End point on the trajectory:
  Lon =    -2.961095 +/- 0.0008 deg
  Lat =    50.824393 +/- 0.0001 deg
  Ht  = 95824.08 +/- 59.73 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,   0.000000,   0.000000,    98381.76,    96529.50,          0.022250,     23.47,     43.62,              97.75, 1.0000,    True,   False, {"ff_name": "FF_UK000T_20211103_020304_660_0768768.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,    99394.84,    95824.08,          0.012770,     11.58,     28.90,              42.29, 1.0000,    True,    True, {"ff_name": "FF_UK003Z_20211103_020304_372_0794368.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,     UK000T,       0,  0.187149, 2459521.585474316962,  88.10017,  14.82376,              151.44674,  50.50200,       151.42977,       50.50589,     88.10017,     +14.82376,      88.10955,      +14.83079,  1380287.60,  3857089.35,  4999772.32,      50.855779,       -3.017751,   98381.76,  126787.63,       0.00,             2395.21,   -59.51,      0.00,           16064.41,    -22.35,     12.02,          41.29,  +4.23,  +3.71
  1,     UK000T,       0,  0.308057, 2459521.585475716274,  88.65858,  14.11498,              150.98759,  49.66062,       150.97935,       49.66251,     88.65858,     +14.11498,      88.66371,      +14.11843,  1379088.17,  3857925.03,  4998345.71,      50.845177,       -2.998526,   97516.96,  127196.13,    2042.60,             4437.80,    70.26,  16893.80,           16064.41,    -11.06,      5.95,          20.36,  +4.17,  +3.65
  2,     UK000T,       0,  0.348285, 2459521.585476181936,  88.79878,  13.93768,              150.87360,  49.44974,       150.87024,       49.45051,     88.79878,     +13.93768,      88.80135,      +13.93909,  1378785.14,  3858136.16,  4997985.29,      50.842497,       -2.993710,   97298.50,  127303.26,    2558.64,             4953.85,   -50.13,  12828.10,           16064.41,     -4.54,      2.44,           8.35,  +4.35,  +3.83
  3,     UK000T,       0,  0.388561, 2459521.585476648062,  89.00889,  13.71593,              150.68288,  49.17527,       150.72326,       49.16604,     89.00889,     +13.71593,      88.98691,      +13.69889,  1378378.90,  3858419.20,  4997502.10,      50.838904,       -2.987196,   97005.71,  127451.21,    3250.47,             5645.67,     4.51,  17177.01,           16064.41,     54.78,    -29.47,         100.67,  +3.18,  +2.65
  4,     UK000T,       0,  0.428837, 2459521.585477114189,  89.18291,  13.50106,              150.54100,  48.91812,       150.59131,       48.90663,     89.18291,     +13.50106,      89.15536,      +13.47975,  1378007.59,  3858677.90,  4997060.47,      50.835619,       -2.981258,   96738.13,  127589.15,    3882.80,             6278.00,    -0.35,  15699.94,           16005.13,     68.64,    -36.93,         126.00,  +2.81,  +2.28
  5,     UK000T,       0,  0.469061, 2459521.585477579851,  89.30692,  13.32640,              150.45078,  48.71433,       150.49115,       48.70511,     89.30692,     +13.32640,      89.28511,      +13.30925,  1377718.11,  3858879.59,  4996716.16,      50.833058,       -2.976665,   96529.50,  127697.83,    4375.77,             6770.98,  -143.74,  12255.80,           15635.72,     55.32,    -29.76,         101.47,  +4.04,  +3.51
  0,     UK003Z,       0,  0.000000, 2459521.585472106468,  18.10326,  28.31166,              261.34634,  44.22265,       261.34443,       44.21426,     18.10326,     +28.31166,      18.09683,      +28.30476,  1381692.00,  3856110.87,  5001442.71,      50.868186,       -3.040060,   99394.84,  141313.30,       0.00,                3.57,   509.66,      0.00,           13071.16,     19.46,      7.79,          30.60,  +4.64,  +3.89
  1,     UK003Z,       0,  0.039932, 2459521.585472568870,  18.27458,  28.22885,              261.11556,  44.27053,       261.10834,       44.23831,     18.27458,     +28.22885,      18.25231,      +28.20236,  1381338.52,  3856357.15,  5001022.29,      50.865064,       -3.034411,   99139.83,  140894.41,     601.95,              605.52,   479.86,  15074.50,           13071.16,     74.52,     29.81,         117.50,  +4.25,  +3.51
  2,     UK003Z,       0,  0.079936, 2459521.585473031737,  18.35137,  28.11710,              260.93854,  44.23900,       260.94183,       44.25398,     18.35137,     +28.11710,      18.36097,      +28.12939,  1381090.13,  3856530.21,  5000726.84,      50.862870,       -3.030491,   98960.63,  140603.26,    1024.97,             1028.54,   269.99,  10574.23,           13071.16,    -34.55,    -13.85,          54.60,  +4.04,  +3.30
  3,     UK003Z,       0,  0.119876, 2459521.585473494139,  18.51187,  28.03159,              260.71405,  44.27795,       260.71368,       44.27624,     18.51187,     +28.03159,      18.51042,      +28.03019,  1380752.31,  3856765.58,  5000325.05,      50.859886,       -3.025100,   98716.95,  140205.30,    1600.25,             1603.82,   213.40,  14403.78,           13071.16,      3.94,      1.58,           6.24,  +4.51,  +3.78
  4,     UK003Z,       0,  0.159836, 2459521.585473956540,  18.63122,  27.95051,              260.52972,  44.29438,       260.52948,       44.29323,     18.63122,     +27.95051,      18.63031,      +27.94956,  1380480.77,  3856954.77,  5000002.08,      50.857486,       -3.020799,   98521.08,  139887.87,    2062.68,             2066.25,    43.64,  11572.19,           12821.31,      2.65,      1.06,           4.21,  +3.50,  +2.77
  5,     UK003Z,       0,  0.199772, 2459521.585474418942,  18.79642,  27.86210,              260.29768,  44.33391,       260.29380,       44.31540,     18.79642,     +27.86210,      18.78401,      +27.84697,  1380135.88,  3857195.06,  4999591.86,      50.854439,       -3.015292,   98272.35,  139483.56,    2650.02,             2653.59,    -0.84,  14707.00,           13019.12,     42.28,     16.93,          67.35,  +3.34,  +2.62
  6,     UK003Z,       0,  0.239736, 2459521.585474881344,  18.94127,  27.74200,              260.05222,  44.33803,       260.05215,       44.33768,     18.94127,     +27.74200,      18.94124,      +27.74172,  1379784.59,  3857439.81,  4999174.04,      50.851334,       -3.009680,   98019.03,  139072.86,    3248.25,             3251.81,   -34.86,  14969.18,           13298.76,      0.80,      0.32,           1.28,  +3.29,  +2.57
  7,     UK003Z,       0,  0.279684, 2459521.585475343745,  19.10805,  27.63009,              259.79516,  44.36137,       259.79508,       44.36099,     19.10805,     +27.63009,      19.10816,      +27.62978,  1379413.57,  3857698.31,  4998732.74,      50.848054,       -3.003744,   97751.52,  138640.01,    3880.09,             3883.66,   -35.01,  15816.73,           13625.06,      0.86,      0.35,           1.38,  +3.04,  +2.33
  8,     UK003Z,       0,  0.319636, 2459521.585475806147,  19.29380,  27.47146,              259.47533,  44.36275,       259.48050,       44.38942,     19.29380,     +27.47146,      19.31231,      +27.49315,  1378963.47,  3858011.91,  4998197.39,      50.844074,       -2.996507,   97427.07,  138115.14,    4646.60,             4650.17,    99.43,  19185.62,           14148.00,    -60.23,    -24.17,          96.92,  +3.49,  +2.79
  9,     UK003Z,       0,  0.359584, 2459521.585476268549,  19.42378,  27.40407,              259.29386,  44.39479,       259.29568,       44.40432,     19.42378,     +27.40407,      19.43091,      +27.41182,  1378699.99,  3858195.48,  4997884.01,      50.841744,       -2.992340,   97237.12,  137812.26,    5095.29,             5098.86,   -83.88,  11231.98,           14255.22,    -21.48,     -8.62,          34.64,  +3.76,  +3.06
 10,     UK003Z,       0,  0.399512, 2459521.585476730485,  19.62568,  27.28043,              258.99309,  44.43072,       258.99298,       44.43016,     19.62568,     +27.28043,      19.62617,      +27.27998,  1378272.50,  3858493.33,  4997375.55,      50.837963,       -2.985476,   96929.04,  137317.36,    5823.30,             5826.87,    12.45,  18233.04,           14494.38,      1.24,      0.50,           2.01,  +2.56,  +1.87
 11,     UK003Z,       0,  0.439460, 2459521.585477192886,  19.78594,  27.17351,              258.74546,  44.45271,       258.74499,       44.45010,     19.78594,     +27.17351,      19.78522,      +27.17140,  1377924.43,  3858735.84,  4996961.55,      50.834883,       -2.979919,   96678.20,  136917.38,    6416.05,             6419.62,   -26.80,  14838.16,           14645.60,      5.84,      2.34,           9.47,  +3.27,  +2.59
 12,     UK003Z,       0,  0.479408, 2459521.585477655288,  19.94020,  27.06460,              258.50103,  44.46933,       258.50098,       44.46910,     19.94020,     +27.06460,      19.94125,      +27.06441,  1377584.11,  3858972.95,  4996556.78,      50.831872,       -2.974489,   96432.98,  136527.77,    6995.60,             6999.17,   -79.25,  14507.54,           14732.45,      0.53,      0.21,           0.86,  +2.47,  +1.79
 13,     UK003Z,       0,  0.519360, 2459521.585478117689,  20.09096,  26.95889,              258.26261,  44.48590,       258.26281,       44.48703,     20.09096,     +26.95889,      20.09309,      +26.95980,  1377253.92,  3859203.00,  4996164.06,      50.828950,       -2.969226,   96195.07,  136151.21,    7557.90,             7561.47,  -149.02,  14074.37,           14768.24,     -2.51,     -1.01,           4.09,  +3.10,  +2.43
 14,     UK003Z,       0,  0.559328, 2459521.585478580557,  20.20080,  26.87771,              258.08473,  44.49483,       258.08547,       44.49918,     20.20080,     +26.87771,      20.20527,      +26.88123,  1377008.83,  3859373.76,  4995872.54,      50.826781,       -2.965363,   96018.44,  135874.55,    7975.29,             7978.86,  -363.95,  10443.03,           14683.33,     -9.64,     -3.87,          15.78,  +3.98,  +3.31
 15,     UK003Z,       0,  0.599276, 2459521.585479042493,  20.33206,  26.79962,              257.89029,  44.51906,       257.88922,       44.51265,     20.33206,     +26.79962,      20.32944,      +26.79445,  1376739.09,  3859561.69,  4995551.71,      50.824393,       -2.961095,   95824.08,  135570.02,    8434.65,             8438.22,  -536.59,  11498.92,           14556.28,     14.17,      5.68,          23.22,  +5.19,  +4.53

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.