Orbital Analysis for matched events on 20211103_050859.136_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 103.93° Bg 21.52° Vg 61.68km/s
mass 0.07146g, abs. mag -1.4
best visual mag 0.1
Path Details
------------
start -5.96° 54.60° 107.31km
end   -5.94° 54.63° 87.90km

Orbit Details
-------------
Semimajor axis 6.51A.U., eccentricity 0.91, inclination 133.13°, Period 16.62Y, LA Sun 220.70°, last Perihelion 2005-05-02

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: 2459521.714573333506
Time: 2021-11-03 05:08:59.136015 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003Y and UK0042
 Convergence angle = 75.63103 deg
 R.A. = 108.40203  Dec = +44.05797 deg

Best intersection: Stations UK003Y and UK0042 with Qconv = 75.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1529787.50 +/- 74.39 m
 Y =   3440832.55 +/- 91.49 m
 Z =   5262929.25 +/- 45.15 m
 Vx =   -14344.89 +/- 382.52 m/s
 Vy =    42635.49 +/- 410.23 m/s
 Vz =    43638.75 +/- 304.24 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.047472e+03, +7.032971e+03, +3.581574e+03, +3.081653e+04, +3.062081e+04, +1.309729e+04
+7.032971e+03, +9.185970e+03, +4.232770e+03, +3.672003e+04, +3.969550e+04, +1.380033e+04
+3.581574e+03, +4.232770e+03, +2.240992e+03, +1.815556e+04, +1.803603e+04, +7.854986e+03
+3.081653e+04, +3.672003e+04, +1.815556e+04, +1.672328e+05, +1.689433e+05, +6.894798e+04
+3.062081e+04, +3.969550e+04, +1.803603e+04, +1.689433e+05, +1.853145e+05, +6.228727e+04
+1.309729e+04, +1.380033e+04, +7.854986e+03, +6.894798e+04, +6.228727e+04, +3.443857e+04

Timing offsets (from input data):
    UK003Y: 0.000000 s
    UK0042: -0.000186 s

Reference point on the trajectory:
  Time: 2021-11-03 05:08:59.136015 UTC
  Lon     = +-5.960682 +/- 0.0016 deg
  Lat     = +54.595536 +/- 0.0002 deg
  Lat geo = +54.416624 +/- 0.0002 deg
  Ht      =  107295.96 +/- 66.88 m

  JD dynamic   = 2459521.715374074411 
  LST apparent = 113.9698386319 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 108.59573 +/- 0.6178 deg
  Dec       = +44.13035 +/- 0.1241 deg
  Azimuth   = 200.57682 +/- 2.0201 deg
  Elevation = +78.97314 +/- 0.2253 deg
  Vavg      =  61.06835 +/- 0.1854 km/s
  Vinit     =  62.67297 +/- 0.2964 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 108.94413 +/- 0.6178 deg
  Dec       = +44.14619 +/- 0.1241 deg
  Azimuth   = 199.33832 +/- 2.0201 deg
  Elevation = +79.05727 +/- 0.2253 deg
  Vavg      =  61.05049 +/- 0.1854 km/s
  Vinit     =  62.65511 +/- 0.2964 km/s
Radiant (geocentric, J2000):
  R.A.   = 108.16930 +/- 0.6214 deg
  Dec    = +44.08559 +/- 0.1254 deg
  Vg     =  61.68237 +/- 0.3011 km/s
  Vinf   =  62.67297 +/- 0.2964 km/s
  Zc     =  10.85954 +/- 0.2275 deg
  Zg     =  10.94631 +/- 0.2285 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 103.93219 +/- 0.4685 deg
  Bg     = +21.52268 +/- 0.1612 deg
  Vh     =  40.64701 +/- 0.4070 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.59417 +/- 0.4968 deg
  Bh     = +33.83010 +/- 0.4178 deg
  Vh_x   =  -6.09864 +/- 0.3872 km/s
  Vh_y   = -33.20982 +/- 0.4297 km/s
  Vh_z   = -22.62949 +/- 0.1069 km/s
Orbit:
  La Sun = 220.701223 +/- 0.0000 deg
  a      =   6.511656 +/- 5.6103 AU
  e      =   0.914428 +/- 0.0212
  i      = 133.130392 +/- 0.2320 deg
  peri   = 265.279565 +/- 0.2159 deg
  node   = 220.703836 +/- 0.0000 deg
  Pi     = 125.983401 +/- 0.2159 deg
  q      =   0.557218 +/- 0.0048 AU
  f      = 274.721447 +/- 0.2159 deg
  M      = 357.621683 +/- 0.7160 deg
  Q      =  12.466094 +/- 11.2249 AU
  n      =   0.059315 +/- 0.0177 deg/day
  T      =  16.616435 +/- 32.8404 years
  Last perihelion JD = 2453492.553079 (2005-05-02 01:16:26.068225) +/- 11995.5655 days
  Tj     =   0.180177 +/- 0.1988
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.046403e-04, -1.043541e-04, -2.309648e+02, +6.197067e-08, -2.115965e-03, +2.513251e-03
q   , -1.043541e-04, +2.451179e-05, +5.177469e+01, -2.019526e-08, +8.295524e-05, -8.182212e-04
Tp  , -2.309648e+02, +5.177469e+01, +1.447600e+08, -2.333028e-02, +4.513296e+02, -9.458168e+02
node, +6.197067e-08, -2.019526e-08, -2.333028e-02, +3.686011e-11, +6.183106e-07, +1.493976e-06
peri, -2.115965e-03, +8.295524e-05, +4.513296e+02, +6.183106e-07, +5.179921e-02, +2.498052e-02
i   , +2.513251e-03, -8.182212e-04, -9.458168e+02, +1.493976e-06, +2.498052e-02, +6.055447e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.129415
 a2 = 24.086041

Mean time residuals from time vs. length:
  Station with reference time: UK003Y
  Avg. res. = 6.165e-06 s
  Stddev    = 2.48e-03 s

Begin point on the trajectory:
  Lon =    -5.960692 +/- 0.0016 deg
  Lat =    54.595521 +/- 0.0002 deg
  Ht  = 107305.50 +/- 62.23 m
End point on the trajectory:
  Lon =    -5.941740 +/- 0.0011 deg
  Lat =    54.626897 +/- 0.0002 deg
  Ht  = 87896.43 +/- 34.48 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
    UK003Y,   False,    -3.059440,    54.994170,   18.00,   0.020049,  29.915386,   107305.50,    87896.43,          0.006606,      9.53,     22.87,              53.51, 1.0000,    True,    True, {"ff_name": "FF_UK003Y_20211103_050856_438_1073408.fits"}
    UK0042,   False,    -4.169906,    52.265619,  152.00,   5.698770,  10.148504,   103509.77,    91429.84,          0.015773,     83.03,     12.00,              76.06, 1.0000,    True,   False, {"ff_name": "FF_UK0042_20211103_050851_510_1055488.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,     UK003Y,       0,  0.000000, 2459521.714573333506,  53.02940,  16.23948,              257.80341,  28.15582,       257.81068,       28.15708,     53.02940,     +16.23948,      53.02475,      +16.24424, -1529789.73,  3440839.16,  5262936.02,      54.595521,       -5.960692,  107305.50,  221163.30,       0.00,                9.71,   188.38,      0.00,           61857.19,    -23.26,     -9.68,          23.50,  +2.82,  +1.10
  1,     UK003Y,       0,  0.040360, 2459521.714573800564,  52.66929,  15.92329,              257.91254,  27.69711,       257.91321,       27.69723,     52.66929,     +15.92329,      52.66902,      +15.92373, -1529284.02,  3439336.11,  5261397.59,      54.599018,       -5.958600,  105136.85,  219888.78,    2209.45,             2199.74,  -151.08,  54743.55,           61857.19,     -2.16,     -0.90,           2.20,  +1.58,  -0.13
  2,     UK003Y,       0,  0.080808, 2459521.714574268553,  52.23211,  15.52852,              258.03850,  27.13106,       258.03815,       27.13100,     52.23211,     +15.52852,      52.23268,      +15.52829, -1528669.01,  3437508.19,  5259526.66,      54.603273,       -5.956017,  102499.51,  218356.84,    4896.44,             4886.72,     0.92,  66430.70,           61857.19,      1.12,      0.47,           1.15,  +1.20,  -0.50
  3,     UK003Y,       0,  0.121236, 2459521.714574736543,  51.81398,  15.14982,              258.15896,  26.58841,       258.15678,       26.58803,     51.81398,     +15.14982,      51.81590,      +15.14838, -1528087.39,  3435779.54,  5257757.33,      54.607300,       -5.953580,  100005.41,  216929.25,    7437.51,             7427.79,     8.24,  62854.21,           61857.19,      6.93,      2.88,           7.13,  +0.46,  -1.22
  4,     UK003Y,       0,  0.161664, 2459521.714575204533,  51.38496,  14.77083,              258.28944,  26.03909,       258.27605,       26.03678,     51.38496,     +14.77083,      51.39436,      +14.76196, -1527504.67,  3434047.58,  5255984.62,      54.611338,       -5.951137,   97506.57,  215519.45,    9983.43,             9973.72,    20.42,  62974.22,           62332.79,     42.53,     17.72,          44.09,  +0.29,  -1.38
  5,     UK003Y,       0,  0.202100, 2459521.714575672522,  50.96603,  14.38242,              258.40564,  25.48746,       258.39420,       25.48548,     50.96603,     +14.38242,      50.97437,      +14.37482, -1526929.50,  3432338.08,  5254234.89,      54.615327,       -5.948724,   95040.13,  214148.59,   12496.36,            12486.65,    -0.89,  62145.84,           62441.91,     36.27,     15.11,          37.84,  +0.08,  -1.57
  6,     UK003Y,       0,  0.242528, 2459521.714576140512,  50.56061,  13.99499,              258.51135,  24.94392,       258.50929,       24.94356,     50.56061,     +13.99499,      50.56298,      +13.99361, -1526371.27,  3430678.91,  5252536.68,      54.619201,       -5.946386,   92646.35,  212838.29,   14935.28,            14925.57,   -95.71,  60327.60,           62254.31,      6.53,      2.72,           6.86,  +0.07,  -1.57
  7,     UK003Y,       0,  0.282980, 2459521.714576608967,  50.11777,  13.59231,              258.64064,  24.36659,       258.63101,       24.36492,     50.11777,     +13.59231,      50.12532,      +13.58587, -1525782.68,  3428929.53,  5250746.13,      54.623289,       -5.943908,   90122.42,  211477.86,   17506.83,            17497.11,   -59.42,  63570.24,           62285.89,     30.43,     12.68,          32.16,  +0.22,  -1.41
  8,     UK003Y,       0,  0.323388, 2459521.714577076491,  49.73541,  13.22023,              258.73735,  23.84795,       258.73881,       23.84820,     49.73541,     +13.22023,      49.73579,      +13.22120, -1525263.57,  3427386.64,  5249166.94,      54.626897,       -5.941740,   87896.43,  210297.90,   19774.83,            19765.11,  -323.91,  56127.46,           61890.27,     -4.58,     -1.91,           4.87,  +0.66,  -0.95
  0,     UK0042,       0,  0.060514, 2459521.714574022684, 333.67293,  51.37157,              336.14909,  18.44562,       336.16232,       18.44740,    333.67293,     +51.37157,     333.65586,      +51.37819, -1528904.59,  3438208.39,  5260243.34,      54.601642,       -5.956983,  103509.77,  306079.75,       0.00,             3857.44,   243.53,      0.00,           60077.44,      9.68,    -67.01,          45.63,  +3.56,  +1.13
  1,     UK0042,       0,  0.100830, 2459521.714574489277, 333.35802,  51.02527,              336.19614,  18.04956,       336.21941,       18.05270,    333.35802,     +51.02527,     333.32804,      +51.03685, -1528405.19,  3436724.07,  5258724.09,      54.605099,       -5.954915,  101368.18,  305595.05,    2181.91,             6039.36,  -101.28,  54120.26,           60077.44,     17.02,   -118.01,          80.47,  +2.12,  -0.31
  2,     UK0042,       0,  0.141198, 2459521.714574956335, 332.96904,  50.64200,              336.27650,  17.60078,       336.28459,       17.60188,    332.96904,     +50.64200,     332.95908,      +50.64600, -1527836.64,  3435034.26,  5256994.52,      54.609037,       -5.952536,   98930.13,  305060.68,    4665.88,             8523.33,  -147.30,  61533.16,           60077.44,      5.94,    -41.09,          28.07,  +1.70,  -0.72
  3,     UK0042,       0,  0.181574, 2459521.714575423393, 332.59157,  50.23153,              336.34283,  17.12932,       336.35246,       17.13062,    332.59157,     +50.23153,     332.57981,      +50.23627, -1527244.43,  3433274.09,  5255192.93,      54.613143,       -5.950048,   96390.59,  304524.41,    7253.28,            11110.72,   -90.38,  64082.55,           60077.44,      7.06,    -48.91,          33.48,  +1.59,  -0.83
  4,     UK0042,       0,  0.221970, 2459521.714575891383, 332.16769,  49.82311,              336.44305,  16.64790,       336.42208,       16.64507,    332.16769,     +49.82311,     332.19575,      +49.81288, -1526636.40,  3431466.94,  5253343.26,      54.617361,       -5.947487,   93783.29,  303995.62,    9909.74,            13767.18,    34.34,  65760.45,           61664.33,    -15.43,    106.51,          73.02,  +1.27,  -1.14
  5,     UK0042,       0,  0.262318, 2459521.714576357976, 331.83087,  49.43658,              336.50170,  16.20763,       336.48464,       16.20532,    331.83087,     +49.43658,     331.85398,      +49.42829, -1526087.58,  3429835.73,  5251673.66,      54.621171,       -5.945189,   91429.84,  303537.88,   12307.58,            16165.02,   -96.55,  59428.99,           61798.17,    -12.56,     86.73,          59.55,  +1.56,  -0.85

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.