Orbital Analysis for matched events on 20211103_014320.205_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 125.67° Bg 25.98° Vg 65.15km/s
mass 0.00827g, abs. mag 0.4
best visual mag 1.0
Path Details
------------
start 1.94° 52.22° 109.10km
end   1.79° 52.19° 97.80km

Orbit Details
-------------
Semimajor axis 6.23A.U., eccentricity 0.84, inclination 134.78°, Period 15.54Y, LA Sun 220.56°, last Perihelion 2006-05-02

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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: 2459521.571761637460
Time: 2021-11-03 01:43:20.245589 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0032 and UK0034
 Convergence angle = 25.79271 deg
 R.A. = 136.59725  Dec = +43.77796 deg
Intersection 2 - Stations: UK0032 and UK003W
 Convergence angle = 28.79511 deg
 R.A. = 136.89148  Dec = +44.06149 deg
Intersection 3 - Stations: UK0034 and UK003W
 Convergence angle = 3.00678 deg
 R.A. = 140.69220  Dec = +45.20933 deg

Best intersection: Stations UK0032 and UK003W with Qconv = 28.80 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1340317.14 +/- 361.42 m
 Y =   3750744.22 +/- 194.99 m
 Z =   5105204.90 +/- 453.57 m
 Vx =   -34577.01 +/- 26.13 m/s
 Vy =    32713.77 +/- 1319.91 m/s
 Vz =    45840.12 +/- 942.80 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.289368e+05, -6.670291e+04, -1.632676e+05, -1.570734e+04, +3.578876e+05, +7.395058e+04
-6.670291e+04, +4.492251e+04, +8.736534e+04, +9.009259e+03, -1.251154e+05, -2.366846e+04
-1.632676e+05, +8.736534e+04, +2.091218e+05, +2.503782e+04, -4.409268e+05, -8.704428e+04
-1.570734e+04, +9.009259e+03, +2.503782e+04, +1.942938e+04, -4.988701e+04, +5.503538e+02
+3.578876e+05, -1.251154e+05, -4.409268e+05, -4.988701e+04, +1.533888e+06, +3.150661e+05
+7.395058e+04, -2.366846e+04, -8.704428e+04, +5.503538e+02, +3.150661e+05, +7.505463e+04

Timing offsets (from input data):
    UK0032: -0.003202 s
    UK0034: -0.002976 s
    UK003W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 01:43:20.245589 UTC
  Lon     = ++1.958085 +/- 0.0058 deg
  Lat     = +52.222315 +/- 0.0022 deg
  Lat geo = +52.038996 +/- 0.0023 deg
  Ht      =  110292.67 +/- 388.45 m

  JD dynamic   = 2459521.572562842630 
  LST apparent = 70.3358040082 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 136.58607 +/- 1.1234 deg
  Dec       = +43.92100 +/- 0.4119 deg
  Azimuth   =  73.47141 +/- 1.1475 deg
  Elevation = +46.55048 +/- 0.4423 deg
  Vavg      =  63.91704 +/- 0.3885 km/s
  Vinit     =  66.08386 +/- 0.8662 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 136.72609 +/- 1.1234 deg
  Dec       = +43.76149 +/- 0.4119 deg
  Azimuth   =  73.57495 +/- 1.1475 deg
  Elevation = +46.37568 +/- 0.4423 deg
  Vavg      =  64.10889 +/- 0.3885 km/s
  Vinit     =  66.27571 +/- 0.8662 km/s
Radiant (geocentric, J2000):
  R.A.   = 136.59644 +/- 1.1404 deg
  Dec    = +43.82095 +/- 0.4072 deg
  Vg     =  65.14571 +/- 0.8787 km/s
  Vinf   =  66.08386 +/- 0.8662 km/s
  Zc     =  43.50196 +/- 0.4456 deg
  Zg     =  43.82881 +/- 0.4575 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 125.67122 +/- 0.7323 deg
  Bg     = +25.98176 +/- 0.6384 deg
  Vh     =  40.56916 +/- 0.6540 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 119.71347 +/- 1.2514 deg
  Bh     = +44.70668 +/- 1.4349 deg
  Vh_x   =  14.29155 +/- 0.1328 km/s
  Vh_y   = -25.04208 +/- 1.3285 km/s
  Vh_z   = -28.53950 +/- 0.2784 km/s
Orbit:
  La Sun = 220.558170 +/- -0.0000 deg
  a      =   6.226916 +/- 3.8059 AU
  e      =   0.843784 +/- 0.0589
  i      = 134.776875 +/- 1.3170 deg
  peri   = 196.804899 +/- 1.6956 deg
  node   = 220.560259 +/- 0.0000 deg
  Pi     =  57.365158 +/- 1.6956 deg
  q      =   0.972746 +/- 0.0047 AU
  f      = 343.196279 +/- 1.6955 deg
  M      = 359.225756 +/- 0.3600 deg
  Q      =  11.481087 +/- 7.6162 AU
  n      =   0.063430 +/- 0.0343 deg/day
  T      =  15.538540 +/- 17.4278 years
  Last perihelion JD = 2453858.228420 (2006-05-02 17:28:55.498506) +/- 6364.7582 days
  Tj     =   0.008795 +/- 0.3420
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.067238e-03, -2.427869e-04, -3.019326e+02, +1.963919e-06, +8.625897e-02, +6.740718e-02
q   , -2.427869e-04, +1.982260e-05, +2.412050e+01, -1.533433e-07, -7.052978e-03, -5.259627e-03
Tp  , -3.019326e+02, +2.412050e+01, +3.623234e+07, -1.985003e-01, -8.286005e+03, -6.732041e+03
node, +1.963919e-06, -1.533433e-07, -1.985003e-01, +1.302809e-09, +5.412857e-05, +4.464786e-05
peri, +8.625897e-02, -7.052978e-03, -8.286005e+03, +5.412857e-05, +2.524134e+00, +1.860277e+00
i   , +6.740718e-02, -5.259627e-03, -6.732041e+03, +4.464786e-05, +1.860277e+00, +1.531276e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.674139
 a2 = 23.733296

Mean time residuals from time vs. length:
  Station with reference time: UK003W
  Avg. res. = 2.447e-06 s
  Stddev    = 1.56e-03 s

Begin point on the trajectory:
  Lon =     1.942561 +/- 0.0032 deg
  Lat =    52.219485 +/- 0.0016 deg
  Ht  = 109104.51 +/- 187.47 m
End point on the trajectory:
  Lon =     1.793596 +/- 0.0040 deg
  Lat =    52.192388 +/- 0.0018 deg
  Ht  = 97804.42 +/- 247.97 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
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   107639.11,   100384.49,          0.016542,     29.46,     45.56,              38.96, 0.3953,    True,    True, {"ff_name": "FF_UK0032_20211103_014320_397_0780288.fits"}
    UK0034,   False,     1.010397,    52.949859,   25.00,   0.000000,   0.000000,   108934.45,    99415.08,          0.009114,      2.84,     22.54,              45.67, 0.5117,    True,    True, {"ff_name": "FF_UK0034_20211103_014319_297_0785152.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,   0.000000,   0.000000,   109104.51,    97804.42,          0.023921,      5.77,     76.47,              16.06, 0.0765,    True,    True, {"ff_name": "FF_UK003W_20211103_014317_466_0776704.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,     UK0032,       0,  0.065086, 2459521.571763056796, 114.15898,   9.96193,              122.16388,  33.46884,       122.16818,       33.47437,    114.15898,      +9.96193,     114.15346,       +9.96480,  1342229.94,  3748934.50,  5102669.03,      52.215989,       +1.923060,  107639.11,  191573.61,       0.00,             3655.75,   294.71,      0.00,           63799.34,    -18.53,     11.97,          23.75,  +3.97,  +2.56
  1,     UK0032,       0,  0.105190, 2459521.571763520595, 113.97476,   9.53959,              122.61080,  33.20068,       122.63015,       33.22533,    113.97476,      +9.53959,     113.94851,       +9.55240,  1343488.86,  3747743.41,  5101000.02,      52.211817,       +1.900058,  105893.15,  189705.15,    2406.07,             6061.83,    50.56,  59995.89,           63799.34,    -81.98,     53.03,         106.16,  +2.94,  +1.55
  2,     UK0032,       0,  0.145254, 2459521.571763984393, 113.71852,   9.09988,              123.13882,  32.95265,       123.13584,       32.94887,    113.71852,      +9.09988,     113.72350,       +9.09792,  1344847.72,  3746457.78,  5099198.53,      52.207306,       +1.875233,  104009.07,  187702.97,    5003.13,             8658.88,     0.03,  64822.55,           63799.34,     12.46,     -8.04,          16.29,  +1.83,  +0.46
  3,     UK0032,       0,  0.185350, 2459521.571764448658, 113.48640,   8.62363,              123.66197,  32.65928,       123.66080,       32.65780,    113.48640,      +8.62363,     113.48904,       +8.62286,  1346237.41,  3745142.98,  5097356.16,      52.202685,       +1.849840,  102082.72,  185670.98,    7659.12,            11314.87,     6.32,  66240.78,           63799.34,      4.85,     -3.13,           6.41,  +1.82,  +0.48
  4,     UK0032,       0,  0.225454, 2459521.571764912456, 113.29595,   8.18621,              124.11687,  32.37695,       124.13066,       32.39415,    113.29595,      +8.18621,     113.27822,       +8.19520,  1347462.83,  3743983.59,  5095731.57,      52.198603,       +1.827420,  100384.49,  183891.63,   10001.15,            13656.90,  -301.88,  58398.92,           62997.08,    -55.99,     36.18,          74.78,  +3.26,  +1.94
  0,     UK0034,       0,  0.049719, 2459521.571762891021,  95.68175,  14.10769,              141.85854,  45.92397,       141.86028,       45.92641,     95.68175,     +14.10769,      95.68008,      +14.10949,  1341296.11,  3749818.00,  5103907.04,      52.219079,       +1.940053,  108934.45,  150415.60,       0.00,             1871.02,  -474.54,      0.00,           70476.21,     -7.11,      0.90,           9.83,  +2.46,  +1.57
  1,     UK0034,       0,  0.090291, 2459521.571763360407,  95.08750,  13.44994,              142.98037,  45.53347,       142.98236,       45.53618,     95.08750,     +13.44994,      95.08576,      +13.45195,  1342943.67,  3748259.23,  5101722.80,      52.213624,       +1.910006,  106649.21,  148233.04,    3148.82,             5019.85,    -6.87,  77610.77,           70476.21,     -7.83,      0.99,          10.98,  +1.95,  +1.10
  2,     UK0034,       0,  0.130751, 2459521.571763828862,  94.59714,  12.92178,              143.88936,  45.21851,       143.88403,       45.21137,     94.59714,     +12.92178,      94.60419,      +12.91650,  1344248.37,  3747024.83,  5099993.10,      52.209297,       +1.886166,  104840.01,  146528.85,    5642.39,             7513.41,  -187.06,  61630.32,           70476.21,     20.47,     -2.57,          29.05,  +1.23,  +0.40
  3,     UK0034,       0,  0.171347, 2459521.571764298715,  94.00595,  12.24103,              144.99667,  44.79027,       144.99924,       44.79362,     94.00595,     +12.24103,      94.00395,      +12.24352,  1345843.47,  3745515.69,  5097878.42,      52.203996,       +1.857046,  102628.74,  144477.88,    8690.95,            10561.97,   178.76,  75095.13,           70476.21,     -9.55,      1.20,          13.74,  +0.99,  +0.19
  4,     UK0034,       0,  0.211847, 2459521.571764767170,  93.50750,  11.67068,              145.91827,  44.42611,       145.92489,       44.43458,     93.50750,     +11.67068,      93.50111,      +11.67701,  1347150.14,  3744279.43,  5096146.12,      52.199645,       +1.833152,  100817.80,  142823.73,   11188.26,            13059.28,    -0.32,  61662.09,           68882.87,    -24.00,      3.02,          34.93,  +1.38,  +0.61
  5,     UK0034,       0,  0.252243, 2459521.571765234694,  93.11631,  11.21711,              146.63785,  44.13062,       146.64996,       44.14586,     93.11631,     +11.21711,      93.10402,      +11.22852,  1348162.46,  3743321.66,  5094804.05,      52.196270,       +1.814596,   99415.08,  141558.37,   13123.02,            14994.04,  -735.09,  47894.74,           65439.79,    -43.01,      5.42,          63.16,  +2.86,  +2.11
  0,     UK003W,       1,  0.000000, 2459521.571761637460, 160.30705,  48.65475,               53.75758,  35.04744,        53.74434,       35.05934,    160.30705,     +48.65475,     160.30398,      +48.67071,  1339958.53,  3751083.51,  5105680.32,      52.223500,       +1.964753,  110790.26,  189528.20,       0.00,              685.37,  1625.46,      0.00,           64404.59,    -53.10,      3.84,          57.94,  +5.83,  +4.44
  1,     UK003W,       0,  0.040100, 2459521.571762101725, 160.60870,  48.73643,               53.52396,  34.94899,        53.55465,       34.92133,    160.60870,     +48.73643,     160.61597,      +48.69933,  1341173.53,  3749933.98,  5104069.55,      52.219485,       +1.942561,  109104.51,  187300.88,    2322.12,             1636.74,   -73.14,  57908.19,           64404.59,    121.89,     -9.21,         134.61,  +3.15,  +1.79
  2,     UK003W,       0,  0.080308, 2459521.571762566920, 160.99085,  48.75486,               53.30706,  34.76965,        53.32559,       34.75301,    160.99085,     +48.75486,     160.99528,      +48.73247,  1342611.22,  3748573.76,  5102163.54,      52.214726,       +1.916322,  107110.27,  184669.99,    5069.84,             4384.47,    17.49,  68337.80,           64404.59,     72.50,     -5.43,          81.21,  +2.55,  +1.22
  3,     UK003W,       0,  0.120480, 2459521.571763032116, 161.36277,  48.80240,               53.06867,  34.61503,        53.10038,       34.58657,    161.36277,     +48.80240,     161.37006,      +48.76405,  1343990.84,  3747268.48,  5100334.52,      52.210151,       +1.891126,  105197.08,  182148.51,    7706.59,             7021.22,    -0.48,  65636.48,           64404.59,    122.41,     -9.29,         139.01,  +2.00,  +0.70
  4,     UK003W,       0,  0.160692, 2459521.571763497312, 161.74241,  48.81095,               52.86210,  34.43166,        52.87568,       34.41952,    161.74241,     +48.81095,     161.74584,      +48.79453,  1345335.17,  3745996.60,  5098552.30,      52.205686,       +1.866562,  103333.32,  179694.74,   10275.87,             9590.50,   -88.57,  63893.39,           64556.49,     51.66,     -3.86,          59.47,  +1.82,  +0.55
  5,     UK003W,       0,  0.200904, 2459521.571763962507, 162.16259,  48.84367,               52.61210,  34.24466,        52.62597,       34.23228,    162.16259,     +48.84367,     162.16611,      +48.82689,  1346794.73,  3744615.68,  5096617.29,      52.200829,       +1.839896,  101310.32,  177035.24,   13065.41,            12380.03,    43.61,  69370.70,           65288.26,     51.99,     -3.90,          60.74,  +1.63,  +0.39
  6,     UK003W,       0,  0.241128, 2459521.571764428169, 162.58724,  48.86499,               52.37008,  34.04869,        52.37589,       34.04352,    162.58724,     +48.86499,     162.58930,      +48.85796,  1348219.67,  3743267.53,  5094728.20,      52.196079,       +1.813848,   99335.85,  174442.81,   15788.76,            15103.38,   108.80,  67704.55,           65808.63,     21.46,     -1.60,          25.45,  +1.99,  +0.78
  7,     UK003W,       0,  0.281304, 2459521.571764893364, 162.92568,  48.88218,               52.17694,  33.89315,        52.17689,       33.89320,    162.92568,     +48.88218,     162.92684,      +48.88225,  1349325.11,  3742221.66,  5093262.67,      52.192388,       +1.793596,   97804.42,  172432.85,   17901.49,            17216.12,  -433.45,  52586.98,           64923.90,     -0.21,      0.02,           0.25,  +4.91,  +3.73

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.