Orbital Analysis for matched events on 20210929_023146.805_UK

Summary for Event
-----------------
shower ID 17 NTA
Lg 25.49° Bg 2.21° Vg 34.30km/s
mass 0.07135g, abs. mag -0.7
Path Details
------------
start -3.11° 51.72° 90.37km
end   -3.05° 51.78° 81.15km

Orbit Details
-------------
Semimajor axis 2.44A.U., eccentricity 0.92, inclination 4.16°, Period 3.81Y, LA Sun 185.88°, last Perihelion 2018-01-13

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: 2459486.605402837973
Time: 2021-09-29 02:31:46.845635 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK0027
 Convergence angle = 32.10523 deg
 R.A. =  24.35726  Dec = +12.49010 deg

Best intersection: Stations UK0020 and UK0027 with Qconv = 32.11 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2942064.14 +/- 190.52 m
 Y =   2734676.20 +/- 57.06 m
 Z =   5054846.62 +/- 310.87 m
 Vx =    32221.59 +/- 874.65 m/s
 Vy =    13970.50 +/- 1153.88 m/s
 Vz =     8145.12 +/- 1695.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.722765e+04, -6.682761e+03, +4.457541e+04, +9.594916e+04, -5.291751e+04, +2.091677e+05
-6.682761e+03, +2.322862e+03, -1.061114e+04, -3.073680e+04, +1.947990e+04, -6.751757e+04
+4.457541e+04, -1.061114e+04, +7.543875e+04, +1.530257e+05, -8.505544e+04, +3.433824e+05
+9.594916e+04, -3.073680e+04, +1.530257e+05, +5.372527e+05, -2.472214e+05, +1.018041e+06
-5.291751e+04, +1.947990e+04, -8.505544e+04, -2.472214e+05, +1.759927e+05, -5.785928e+05
+2.091677e+05, -6.751757e+04, +3.433824e+05, +1.018041e+06, -5.785928e+05, +2.180376e+06

Timing offsets (from input data):
    UK0020: 0.003056 s
    UK0027: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 02:31:46.845635 UTC
  Lon     = +-3.116540 +/- 0.0024 deg
  Lat     = +51.712904 +/- 0.0010 deg
  Lat geo = +51.528247 +/- 0.0010 deg
  Ht      =   91388.45 +/- 308.81 m

  JD dynamic   = 2459486.606204046868 
  LST apparent = 42.9077480406 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  23.44039 +/- 1.1966 deg
  Dec       = +13.05738 +/- 2.4226 deg
  Azimuth   = 209.19889 +/- 2.7214 deg
  Elevation = +48.28032 +/- 1.9642 deg
  Vavg      =  34.31092 +/- 0.3765 km/s
  Vinit     =  36.05203 +/- 0.9133 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  23.89217 +/- 1.1966 deg
  Dec       = +13.09213 +/- 2.4226 deg
  Azimuth   = 208.58465 +/- 2.7214 deg
  Elevation = +48.44863 +/- 1.9642 deg
  Vavg      =  34.21690 +/- 0.3765 km/s
  Vinit     =  35.95800 +/- 0.9133 km/s
Radiant (geocentric, J2000):
  R.A.   =  22.80515 +/- 1.2003 deg
  Dec    = +11.91525 +/- 2.5395 deg
  Vg     =  34.29692 +/- 0.9602 km/s
  Vinf   =  36.05203 +/- 0.9133 km/s
  Zc     =  41.55857 +/- 1.9601 deg
  Zg     =  42.64335 +/- 2.0730 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  25.49288 +/- 0.2325 deg
  Bg     =  +2.21123 +/- 2.7896 deg
  Vh     =  37.51556 +/- 0.7129 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 336.79695 +/- 0.9848 deg
  Bh     =  +2.02491 +/- 2.5581 deg
  Vh_x   = -34.45955 +/- 0.8741 km/s
  Vh_y   =  14.77156 +/- 0.3343 km/s
  Vh_z   =  -1.32557 +/- 1.6886 km/s
Orbit:
  La Sun = 185.879642 +/- nan deg
  a      =   2.439798 +/- 0.3839 AU
  e      =   0.919331 +/- 0.0140
  i      =   4.158672 +/- 3.2175 deg
  peri   = 312.645138 +/- 102.7949 deg
  node   = 185.891916 +/- 102.7956 deg
  Pi     = 138.537054 +/- 0.5390 deg
  q      =   0.196816 +/- 0.0057 AU
  f      = 227.344156 +/- 0.5390 deg
  M      = 350.298738 +/- 2.3231 deg
  Q      =   4.682779 +/- 0.7721 AU
  n      =   0.258627 +/- 0.0568 deg/day
  T      =   3.810933 +/- 0.9259 years
  Last perihelion JD = 2458132.149321 (2018-01-13 15:35:01.352392) +/- 338.8689 days
  Tj     =   2.670490 +/- 0.3203
Shower association:
  IAU No.  =   17
  IAU code =  NTA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.559399e-04, -5.421882e-05, -3.637857e+00, -1.604228e-02, -1.609516e-02, +3.991065e-04
q   , -5.421882e-05, +2.749249e-05, +1.048454e+00, +6.497415e-03, +6.492243e-03, -4.855612e-05
Tp  , -3.637857e+00, +1.048454e+00, +9.247325e+04, +3.286165e+02, +3.304196e+02, -1.248490e+01
node, -1.604228e-02, +6.497415e-03, +3.286165e+02, +2.109139e+00, +2.112417e+00, -2.222491e-02
peri, -1.609516e-02, +6.492243e-03, +3.304196e+02, +2.112417e+00, +2.115777e+00, -2.259709e-02
i   , +3.991065e-04, -4.855612e-05, -1.248490e+01, -2.222491e-02, -2.259709e-02, +3.092217e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.117937
 a2 = 13.735110

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 5.033e-06 s
  Stddev    = 2.24e-03 s

Begin point on the trajectory:
  Lon =    -3.110222 +/- 0.0018 deg
  Lat =    51.719926 +/- 0.0009 deg
  Ht  = 90370.51 +/- 239.19 m
End point on the trajectory:
  Lon =    -3.054336 +/- 0.0028 deg
  Lat =    51.783611 +/- 0.0017 deg
  Ht  = 81154.92 +/- 339.48 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
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000427,  49.914731,    89688.38,    84462.75,          0.033894,     87.56,     12.79,              93.38, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210929_023141_559_0718848.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   2.416567,  14.367762,    90370.51,    81154.92,          0.020535,     37.87,      5.99,              56.91, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210929_023146_068_0725248.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,     UK0020,       0,  0.065813, 2459486.605403947644, 182.41573,  72.61685,               13.83326,  36.41491,        13.82799,       36.41417,    182.41573,     +72.61685,     182.42921,      +72.61835,  2940028.28,  2733793.51,  5054331.98,      51.724632,       -3.106217,   89688.38,  149180.63,       0.00,             2277.88,     0.37,      0.00,           37553.05,      1.62,    -11.08,          15.48,  +2.92,  +2.05
  1,     UK0020,       0,  0.106105, 2459486.605404413771, 182.94578,  72.13380,               13.96212,  35.91665,        13.93170,       35.91235,    182.94578,     +72.13380,     183.02260,      +72.14233,  2938838.62,  2733277.70,  5054031.26,      51.731488,       -3.100213,   88695.09,  149258.82,    1331.08,             3608.96,  -121.15,  33035.85,           37553.05,      9.41,    -64.47,          90.04,  +1.44,  +0.57
  2,     UK0020,       0,  0.146489, 2459486.605404881295, 183.67078,  71.56308,               14.06609,  35.30873,        14.05605,       35.30730,    183.67078,     +71.56308,     183.69594,      +71.56583,  2937403.06,  2732655.27,  5053668.37,      51.739763,       -3.092929,   87496.63,  149369.29,    2937.30,             5215.18,    29.14,  39773.74,           37553.05,      3.13,    -21.45,          29.94,  +1.24,  +0.37
  3,     UK0020,       0,  0.186833, 2459486.605405348353, 184.20622,  70.98616,               14.22194,  34.72043,        14.17609,       34.71395,    184.20622,     +70.98616,     184.31793,      +70.99844,  2935993.26,  2732044.02,  5053311.99,      51.747892,       -3.085772,   86319.85,  149494.38,    4514.69,             6792.57,   152.05,  39098.48,           37553.05,     14.42,    -98.74,         137.68,  +1.88,  +1.01
  4,     UK0020,       0,  0.227105, 2459486.605405814480, 184.63497,  70.54333,               14.32581,  34.26357,        14.26656,       34.25520,    184.63497,     +70.54333,     184.77728,      +70.55894,  2934901.41,  2731570.62,  5053035.99,      51.754189,       -3.080264,   85408.54,  149601.99,    5736.34,             8014.22,   -78.19,  30334.95,           36340.56,     18.74,   -128.35,         178.84,  +2.56,  +1.69
  5,     UK0020,       0,  0.267461, 2459486.605406281538, 185.36423,  70.11666,               14.30324,  33.77169,        14.35948,       33.77968,    185.36423,     +70.11666,     185.23231,      +70.10220,  2933768.13,  2731079.26,  5052749.51,      51.760727,       -3.074537,   84462.75,  149724.17,    7004.35,             9282.22,  -265.10,  31420.54,           35290.50,    -17.92,    122.63,         170.73,  +3.36,  +2.48
  0,     UK0027,       1,  0.000000, 2459486.605402837973, 340.67333,  58.53485,              306.74806,  54.52737,       306.73263,       54.51538,    340.67333,     +58.53485,     340.65582,      +58.52284,  2942054.82,  2734672.16,  5054844.26,      51.712958,       -3.116323,   91380.67,  111768.63,       0.00,               10.43,   105.61,      0.00,           35206.18,      4.56,    -28.84,          53.88,  +3.94,  +3.70
  1,     UK0027,       0,  0.040460, 2459486.605403305963, 339.79023,  58.88242,              307.54511,  54.18758,       307.51465,       54.16425,    339.79023,     +58.88242,     339.75671,      +58.85863,  2940845.19,  2734147.70,  5054538.48,      51.719926,       -3.110222,   90370.51,  111013.66,    1353.43,             1363.86,     0.38,  33451.05,           35206.18,      8.89,    -56.20,         105.71,  +1.58,  +1.35
  2,     UK0027,       0,  0.080964, 2459486.605403774884, 338.79279,  59.22597,              308.35682,  53.79595,       308.33889,       53.78241,    338.79279,     +59.22597,     338.77345,      +59.21189,  2939565.93,  2733593.04,  5054215.11,      51.727296,       -3.103757,   89302.34,  110227.27,    2784.76,             2795.19,   -28.54,  35338.01,           35206.18,      5.17,    -32.67,          61.90,  +0.75,  +0.54
  3,     UK0027,       0,  0.121496, 2459486.605404244270, 337.71276,  59.57743,              309.19421,  53.37330,       309.19387,       53.37305,    337.71276,     +59.57743,     337.71250,      +59.57715,  2938233.50,  2733015.33,  5053878.29,      51.734975,       -3.097011,   88189.90,  109421.76,    4275.59,             4286.02,     1.03,  36781.55,           35206.18,      0.10,     -0.62,           1.18,  +0.39,  +0.19
  4,     UK0027,       0,  0.162024, 2459486.605404713191, 336.61172,  59.91292,              310.00377,  52.94356,       310.02677,       52.96042,    336.61172,     +59.91292,     336.63579,      +59.93120,  2936928.95,  2732449.71,  5053548.52,      51.742496,       -3.090405,   87100.87,  108647.13,    5735.22,             5745.64,    -0.46,  36015.26,           35530.12,     -6.46,     40.87,          78.56,  +0.21,  +0.03
  5,     UK0027,       0,  0.202544, 2459486.605405182112, 335.53950,  60.27050,              310.83384,  52.54212,       310.83786,       52.54503,    335.53950,     +60.27050,     335.54404,      +60.27372,  2935651.78,  2731895.96,  5053225.67,      51.749861,       -3.083937,   86034.81,  107902.49,    7164.22,             7174.65,   -32.29,  35266.64,           35584.96,     -1.12,      7.08,          13.70,  +0.22,  +0.05
  6,     UK0027,       0,  0.243080, 2459486.605405651499, 334.40205,  60.60688,              311.63997,  52.11162,       311.64733,       52.11688,    334.40205,     +60.60688,     334.40998,      +60.61281,  2934370.13,  2731340.27,  5052901.69,      51.757254,       -3.077442,   84965.15,  107169.06,    8598.23,             8608.65,   -59.69,  35376.11,           35582.15,     -2.02,     12.81,          24.95,  +0.44,  +0.29
  7,     UK0027,       0,  0.283596, 2459486.605406120420, 333.29583,  60.93685,              312.42225,  51.70209,       312.41544,       51.69729,    333.29583,     +60.93685,     333.28998,      +60.93133,  2933146.45,  2730809.71,  5052592.36,      51.764314,       -3.071244,   83943.98,  106482.25,    9967.38,             9977.80,  -151.22,  33792.85,           35431.87,      1.85,    -11.73,          23.01,  +0.55,  +0.41
  8,     UK0027,       0,  0.324128, 2459486.605406589340, 332.12460,  61.26582,              313.21337,  51.27094,       313.19512,       51.25823,    332.12460,     +61.26582,     332.10821,      +61.25090,  2931897.02,  2730267.99,  5052276.53,      51.771525,       -3.064907,   82901.44,  105794.44,   11365.33,            11375.76,  -214.52,  34490.17,           35298.94,      4.93,    -31.16,          61.50,  +1.00,  +0.88
  9,     UK0027,       0,  0.364576, 2459486.605407057330, 331.10999,  61.51010,              313.83335,  50.89140,       313.83003,       50.88912,    331.10999,     +61.51010,     331.10803,      +61.50737,  2930871.61,  2729823.40,  5052017.32,      51.777444,       -3.059734,   82045.89,  105241.31,   12512.65,            12523.07,  -525.44,  28365.17,           34853.80,      0.89,     -5.63,          11.16,  +1.34,  +1.23
 10,     UK0027,       0,  0.405036, 2459486.605407525785, 330.08181,  61.81093,              314.53780,  50.53124,       314.48781,       50.49707,    330.08181,     +61.81093,     330.03765,      +61.76950,  2929803.64,  2729360.35,  5051747.36,      51.783611,       -3.054336,   81154.92,  104675.17,   13707.57,            13717.99,  -789.19,  29533.40,           34369.52,     13.31,    -84.21,         168.00,  +2.84,  +2.74

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.