Orbital Analysis for matched events on 20210813_232119.587_UK

Summary for Event
-----------------
shower ID 546 FTC
Lg 63.67° Bg 50.44° Vg 49.44km/s
mass 0.01773g, abs. mag -0.1
Path Details
------------
start -4.19° 50.59° 103.29km
end   -4.25° 50.53° 94.65km

Orbit Details
-------------
Semimajor axis 3.49A.U., eccentricity 0.72, inclination 92.00°, Period 6.53Y, LA Sun 141.12°, last Perihelion 2021-07-27

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: 2459440.473143376876
Time: 2021-08-13 23:21:19.587762 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0024
 Convergence angle = 14.34884 deg
 R.A. =  36.01317  Dec = +69.18606 deg

Best intersection: Stations UK000H and UK0024 with Qconv = 14.35 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2580464.06 +/- 49.39 m
 Y =  -3215408.33 +/- 211.84 m
 Z =   4984706.72 +/- 104.13 m
 Vx =    14300.42 +/- 410.44 m/s
 Vy =    10598.15 +/- 1423.60 m/s
 Vz =    47443.70 +/- 655.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.218890e+03, +7.367585e+03, -3.760104e+03, +1.260075e+04, +4.245646e+04, -2.221420e+04
+7.367585e+03, +4.200424e+04, -2.058269e+04, +3.495628e+04, +2.270374e+05, -1.087497e+05
-3.760104e+03, -2.058269e+04, +1.038444e+04, -1.804088e+04, -1.089636e+05, +5.376426e+04
+1.260075e+04, +3.495628e+04, -1.804088e+04, +9.554508e+04, +2.725881e+05, -1.383625e+05
+4.245646e+04, +2.270374e+05, -1.089636e+05, +2.725881e+05, +1.524281e+06, -6.971457e+05
-2.221420e+04, -1.087497e+05, +5.376426e+04, -1.383625e+05, -6.971457e+05, +3.324551e+05

Timing offsets (from input data):
    UK000H: 0.000765 s
    UK0020: 0.000000 s
    UK0024: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:21:19.587762 UTC
  Lon     = +-4.192724 +/- 0.0023 deg
  Lat     = +50.591934 +/- 0.0004 deg
  Lat geo = +50.406060 +/- 0.0004 deg
  Ht      =  103300.73 +/- 169.08 m

  JD dynamic   = 2459440.473944117781 
  LST apparent = 308.7481145744 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  36.54242 +/- 2.4955 deg
  Dec       = +69.43535 +/- 1.4188 deg
  Azimuth   =  31.00991 +/- 1.1793 deg
  Elevation = +47.05357 +/- 1.4914 deg
  Vavg      =  50.12227 +/- 0.0528 km/s
  Vinit     =  50.67275 +/- 0.1750 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  36.57905 +/- 2.4955 deg
  Dec       = +69.11797 +/- 1.4188 deg
  Azimuth   =  31.43562 +/- 1.1793 deg
  Elevation = +46.92485 +/- 1.4914 deg
  Vavg      =  50.22857 +/- 0.0528 km/s
  Vinit     =  50.77906 +/- 0.1750 km/s
Radiant (geocentric, J2000):
  R.A.   =  37.53412 +/- 2.4430 deg
  Dec    = +69.13230 +/- 1.4546 deg
  Vg     =  49.44181 +/- 0.1794 km/s
  Vinf   =  50.67275 +/- 0.1750 km/s
  Zc     =  43.10582 +/- 1.4894 deg
  Zg     =  43.66232 +/- 1.5148 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.66941 +/- 0.4828 deg
  Bg     = +50.44307 +/- 1.7106 deg
  Vh     =  38.69629 +/- 0.9246 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 129.57605 +/- 5.2024 deg
  Bh     = +80.09513 +/- 1.4628 deg
  Vh_x   =   4.24071 +/- 0.3199 km/s
  Vh_y   =  -5.13051 +/- 0.9679 km/s
  Vh_z   = -38.11951 +/- 1.1037 km/s
Orbit:
  La Sun = 141.123021 +/- -0.0000 deg
  a      =   3.492834 +/- 0.5034 AU
  e      =   0.719806 +/- 0.0681
  i      =  92.001878 +/- 1.5889 deg
  peri   = 156.762147 +/- 5.1675 deg
  node   = 141.123216 +/- 0.0001 deg
  Pi     = 297.885363 +/- 5.1676 deg
  q      =   0.978670 +/- 0.0139 AU
  f      =  23.234173 +/- 5.1674 deg
  M      =   2.689378 +/- 3.1756 deg
  Q      =   6.006997 +/- 0.9947 AU
  n      =   0.150986 +/- 0.0739 deg/day
  T      =   6.527810 +/- 1.2433 years
  Last perihelion JD = 2459422.661865 (2021-07-27 03:53:05.162205) +/- 4.2583 days
  Tj     =   1.450253 +/- 0.3753
Shower association:
  IAU No.  =  546
  IAU code =  FTC

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.112956e-03, +7.413050e-04, +2.371517e-01, +1.013107e-07, +4.977283e-03, -1.568204e-03
q   , +7.413050e-04, +1.529627e-04, +4.717449e-02, +1.930527e-08, +1.001023e-03, -2.985144e-04
Tp  , +2.371517e-01, +4.717449e-02, +1.469217e+01, +6.085260e-06, +3.108144e-01, -9.412003e-02
node, +1.013107e-07, +1.930527e-08, +6.085260e-06, +2.627676e-12, +1.281576e-07, -4.064779e-08
peri, +4.977283e-03, +1.001023e-03, +3.108144e-01, +1.281576e-07, +6.581979e-03, -1.982080e-03
i   , -1.568204e-03, -2.985144e-04, -9.412003e-02, -4.064779e-08, -1.982080e-03, +6.287932e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000000
 a2 = 109.838310

Mean time residuals from time vs. length:
  Station with reference time: UK0024
  Avg. res. = 3.704e-06 s
  Stddev    = 1.92e-03 s

Begin point on the trajectory:
  Lon =    -4.192797 +/- 0.0023 deg
  Lat =    50.591857 +/- 0.0004 deg
  Ht  = 103289.75 +/- 171.01 m
End point on the trajectory:
  Lon =    -4.251401 +/- 0.0016 deg
  Lat =    50.530780 +/- 0.0003 deg
  Ht  = 94653.09 +/- 107.44 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   102745.68,    96612.93,          0.014591,     26.93,     44.07,              91.80, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210813_232113_721_0289280.fits"}
    UK0020,    True,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   105760.22,    94991.06,          0.061933,       nan,       nan,              64.19, 0.0000,    True,    True, {"ff_name": "FF_UK0020_20210813_232111_054_0279808.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000008,  73.818032,   103289.75,    94653.09,          0.014973,     26.03,     25.30,              80.54, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210813_232116_821_0283136.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,     UK000H,       0,  0.014575, 2459440.473143536597, 247.11475,  17.33656,              261.00369,  29.65714,       260.98125,       29.66861,    247.11475,     +17.33656,     247.13812,      +17.33252,  2580250.07, -3215566.93,  4983996.77,      50.588017,       -4.196480,  102745.68,  202709.61,       0.00,              758.27,    -2.48,      0.00,           51508.50,    -68.30,     41.73,          81.44,  +3.92,  +2.39
  1,     UK000H,       0,  0.055083, 2459440.473144005518, 247.02519,  16.76039,              260.64710,  29.16437,       260.64453,       29.16569,    247.02519,     +16.76039,     247.02809,      +16.75993,  2579669.81, -3215996.96,  4982071.68,      50.577391,       -4.206679,  101240.86,  202750.23,    2056.11,             2814.39,     0.98,  50758.18,           51508.50,     -7.86,      4.81,           9.38,  +2.41,  +0.88
  2,     UK000H,       0,  0.136083, 2459440.473144942895, 246.79153,  15.62154,              260.00087,  28.15156,       259.98300,       28.16065,    246.79153,     +15.62154,     246.81069,      +15.61831,  2578512.10, -3216854.94,  4978230.82,      50.556173,       -4.227029,   98239.38,  202893.79,    6158.38,             6916.65,    -1.25,  50645.28,           51508.50,    -54.98,     33.59,          65.50,  +1.26,  -0.28
  3,     UK000H,       0,  0.176627, 2459440.473145412281, 246.69484,  15.00005,              259.62864,  27.61612,       259.63001,       27.61542,    246.69484,     +15.00005,     246.69414,      +15.00030,  2577884.58, -3217320.01,  4976148.91,      50.544662,       -4.238046,   96612.93,  203005.48,    8381.99,             9140.26,   167.88,  54844.24,           51508.50,      4.25,     -2.60,           5.06,  +1.91,  +0.37
  0,     UK0020,       1, -0.053486, 2459440.473142758012, 276.73954,  40.79494,              259.04710,  65.39151,       259.10942,       65.37337,    276.73954,     +40.79494,     276.70008,      +40.80594,  2581412.14, -3214705.71,  4987852.10,      50.609280,       -4.176113,  105760.22,  116126.56,       0.00,             3359.46,  6047.55,     -0.00,           54874.05,     40.58,    -49.73,         114.01,  +4.65,  +4.33
  1,     UK0020,       1, -0.013402, 2459440.473143221810, 276.24598,  39.78081,              257.61640,  64.49530,       257.67869,       64.47745,    276.24598,     +39.78081,     276.20651,      +39.79183,  2580716.49, -3215221.25,  4985544.21,      50.596554,       -4.188304,  103955.50,  114969.80,    2464.98,              894.49,  1551.41,  61495.24,           54874.05,     40.89,    -50.10,         116.03,  +3.32,  +3.02
  2,     UK0020,       1,  0.026670, 2459440.473143685609, 275.84432,  38.91677,              256.46474,  63.72703,       256.53763,       63.70638,    275.84432,     +38.91677,     275.79808,      +38.92971,  2580137.04, -3215650.69,  4983621.79,      50.585947,       -4.198488,  102452.54,  114038.95,    4518.24,             1158.78,  -214.86,  51239.33,           54874.05,     48.21,    -59.09,         137.94,  +1.73,  +1.44
  3,     UK0020,       1,  0.066742, 2459440.473144149408, 275.44358,  38.00202,              255.29948,  62.91368,       255.40130,       62.88515,    275.44358,     +38.00202,     275.37870,      +38.02018,  2579536.58, -3216095.69,  4981629.68,      50.574950,       -4.209034,  100895.40,  113105.57,    6645.93,             3286.46,  -117.73,  53096.62,           54874.05,     67.94,    -83.30,         196.02,  +1.35,  +1.08
  4,     UK0020,       1,  0.106830, 2459440.473144613206, 275.05600,  37.13741,              254.27799,  62.12641,       254.38116,       62.09777,    275.05600,     +37.13741,     274.98998,      +37.15590,  2578975.84, -3216511.26,  4979769.34,      50.564675,       -4.218894,   99441.53,  112263.81,    8632.88,             5273.42,  -162.14,  49564.89,           53512.99,     69.50,    -85.20,         202.01,  +0.90,  +0.65
  5,     UK0020,       1,  0.146930, 2459440.473145077471, 274.63930,  36.16724,              253.18712,  61.24023,       253.30076,       61.20899,    274.63930,     +36.16724,     274.56612,      +36.18774,  2578358.14, -3216969.05,  4977720.03,      50.553349,       -4.229739,   97840.30,  111369.84,   10821.67,             7462.20,    -5.34,  54583.14,           53277.13,     77.39,    -94.89,         226.78,  +0.73,  +0.50
  6,     UK0020,       1,  0.187038, 2459440.473145541735, 274.24346,  35.25060,              252.22649,  60.38927,       252.33357,       60.36007,    274.24346,     +35.25060,     274.17414,      +35.27005,  2577782.42, -3217395.72,  4975809.98,      50.542787,       -4.239858,   96348.17,  110569.64,   12861.71,             9502.25,     2.33,  50863.86,           52934.16,     73.75,    -90.40,         217.63,  +0.59,  +0.37
  7,     UK0020,       1,  0.227094, 2459440.473146005068, 273.95222,  34.38569,              251.28384,  59.62558,       251.48586,       59.57092,    273.95222,     +34.38569,     273.81997,      +34.42259,  2577258.70, -3217783.85,  4974072.47,      50.533174,       -4.249079,   94991.06,  109870.18,   14717.49,            11358.03,  -171.64,  46329.47,           52241.34,    140.37,   -172.39,         417.35,  +1.66,  +1.46
  0,     UK0024,       0,  0.000000, 2459440.473143376876, 264.92448,  25.27312,              250.54732,  47.24051,       250.57967,       47.22997,    264.92448,     +25.27312,     264.89852,      +25.27963,  2580459.83, -3215411.47,  4984692.70,      50.591857,       -4.192797,  103289.75,  139653.46,       0.00,               14.98,    -7.23,      0.00,           51258.14,     41.37,    -42.59,          87.70,  +3.13,  +2.40
  1,     UK0024,       0,  0.040588, 2459440.473143846728, 264.65008,  24.45615,              250.04035,  46.45999,       250.04721,       46.45776,    264.65008,     +24.45615,     264.64471,      +24.45753,  2579865.10, -3215852.23,  4982719.59,      50.580968,       -4.203246,  101747.30,  139278.74,    2107.40,             2122.38,    43.47,  51921.72,           51258.14,      8.86,     -9.11,          18.82,  +1.85,  +1.13
  2,     UK0024,       0,  0.081172, 2459440.473144316580, 264.37972,  23.65008,              249.55774,  45.68629,       249.53638,       45.69321,    264.37972,     +23.65008,     264.39738,      +23.64574,  2579281.13, -3216285.01,  4980782.19,      50.570270,       -4.213510,  100233.05,  138941.19,    4176.66,             4191.63,    56.22,  50987.00,           51258.14,    -27.81,     28.58,          59.21,  +1.64,  +0.93
  3,     UK0024,       0,  0.121736, 2459440.473144785967, 264.16038,  22.82852,              249.02702,  44.92717,       249.03763,       44.92374,    264.16038,     +22.82852,     264.15224,      +22.83068,  2578697.81, -3216717.31,  4978846.94,      50.559578,       -4.223762,   98720.77,  138634.14,    6243.63,             6258.60,    67.70,  50955.77,           51258.14,     13.93,    -14.32,          29.72,  +1.48,  +0.77
  4,     UK0024,       0,  0.162272, 2459440.473145254888, 263.93725,  22.07035,              248.57284,  44.21116,       248.58635,       44.20681,    263.93725,     +22.07035,     263.92687,      +22.07312,  2578158.14, -3217117.27,  4977056.51,      50.549681,       -4.233260,   97321.92,  138377.65,    8155.92,             8170.89,   -74.08,  47175.13,           50403.14,     17.88,    -18.39,          38.23,  +1.52,  +0.81
  5,     UK0024,       0,  0.202860, 2459440.473145724740, 263.70141,  21.22816,              248.07221,  43.41942,       248.09881,       43.41087,    263.70141,     +21.22816,     263.68036,      +21.23363,  2577562.47, -3217558.72,  4975080.29,      50.538751,       -4.243726,   95778.20,  138124.05,   10266.64,            10281.61,   -20.06,  52003.60,           50387.41,     35.50,    -36.52,          76.06,  +1.74,  +1.04
  6,     UK0024,       0,  0.243304, 2459440.473146192729, 263.50729,  20.61745,              247.74222,  42.82965,       247.75113,       42.82679,    263.50729,     +20.61745,     263.50094,      +20.61929,  2577128.27, -3217880.52,  4973639.74,      50.530780,       -4.251401,   94653.09,  137961.46,   11805.23,            11820.20,  -530.88,  38042.47,           49063.50,     11.97,    -12.31,          25.68,  +4.37,  +3.67

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.