Orbital Analysis for matched events on 20211103_041756.488_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 111.83° Bg 8.56° Vg 63.01km/s
mass 0.00242g, abs. mag 1.3
best visual mag 1.8
Path Details
------------
start -4.06° 49.86° 109.94km
end   -4.09° 49.89° 100.56km

Orbit Details
-------------
Semimajor axis 2.01A.U., eccentricity 0.70, inclination 162.03°, Period 2.86Y, LA Sun 220.67°, last Perihelion 2019-02-10

Full details below
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Detailed report below graphs

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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: 2459521.679126020055
Time: 2021-11-03 04:17:56.488133 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003K
 Convergence angle = 49.46198 deg
 R.A. = 115.52991  Dec = +30.06272 deg

Best intersection: Stations UK0021 and UK003K with Qconv = 49.46 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -948107.12 +/- 29.14 m
 Y =   4082321.87 +/- 82.91 m
 Z =   4936566.69 +/- 36.32 m
 Vx =   -23733.80 +/- 240.77 m/s
 Vy =    49927.97 +/- 1226.13 m/s
 Vz =    32199.02 +/- 1062.90 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.899007e+02, -2.251439e+03, -3.295756e+02, +8.266536e+03, -1.602621e+04, -6.334608e+02
-2.251439e+03, +7.190960e+03, +8.931637e+02, -2.099779e+04, +6.010486e+04, +7.566220e+03
-3.295756e+02, +8.931637e+02, +1.265611e+03, +8.013695e+03, -1.402563e+04, -1.378995e+03
+8.266536e+03, -2.099779e+04, +8.013695e+03, +2.315118e+05, -4.771540e+05, -4.801879e+04
-1.602621e+04, +6.010486e+04, -1.402563e+04, -4.771540e+05, +1.294571e+06, +2.009388e+05
-6.334608e+02, +7.566220e+03, -1.378995e+03, -4.801879e+04, +2.009388e+05, +5.000236e+04

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK003K: -0.002885 s

Reference point on the trajectory:
  Time: 2021-11-03 04:17:56.488133 UTC
  Lon     = +-4.059569 +/- 0.0002 deg
  Lat     = +49.856451 +/- 0.0006 deg
  Lat geo = +49.669900 +/- 0.0006 deg
  Ht      =  109906.89 +/- 67.55 m

  JD dynamic   = 2459521.679926760960 
  LST apparent = 103.0749811044 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 115.42458 +/- 0.2341 deg
  Dec       = +30.21869 +/- 0.4609 deg
  Azimuth   = 150.05284 +/- 0.7338 deg
  Elevation = +68.27102 +/- 0.4224 deg
  Vavg      =  62.45243 +/- 1.3864 km/s
  Vinit     =  63.97556 +/- 1.2277 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 115.73363 +/- 0.2341 deg
  Dec       = +30.18889 +/- 0.4609 deg
  Azimuth   = 149.41637 +/- 0.7338 deg
  Elevation = +68.14298 +/- 0.4224 deg
  Vavg      =  62.50962 +/- 1.3864 km/s
  Vinit     =  64.03275 +/- 1.2277 km/s
Radiant (geocentric, J2000):
  R.A.   = 115.15357 +/- 0.2365 deg
  Dec    = +30.11631 +/- 0.4589 deg
  Vg     =  63.00610 +/- 1.2463 km/s
  Vinf   =  63.97556 +/- 1.2277 km/s
  Zc     =  21.56753 +/- 0.4217 deg
  Zg     =  21.73417 +/- 0.4193 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 111.82758 +/- 0.2051 deg
  Bg     =  +8.56473 +/- 0.4598 deg
  Vh     =  36.71112 +/- 1.1418 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  95.27814 +/- 0.6706 deg
  Bh     = +14.80920 +/- 0.9537 deg
  Vh_x   =   3.26490 +/- 0.5134 km/s
  Vh_y   = -35.34118 +/- 1.2207 km/s
  Vh_z   =  -9.38340 +/- 0.3293 km/s
Orbit:
  La Sun = 220.665715 +/- 0.0000 deg
  a      =   2.013067 +/- 0.6040 AU
  e      =   0.700047 +/- 0.0479
  i      = 162.031331 +/- 1.2635 deg
  peri   = 267.161184 +/- 5.5420 deg
  node   = 220.670556 +/- 0.0002 deg
  Pi     = 127.831739 +/- 5.5417 deg
  q      =   0.603824 +/- 0.0265 AU
  f      = 272.841902 +/- 5.5422 deg
  M      = 344.073183 +/- 4.8884 deg
  Q      =   3.422309 +/- 1.1841 AU
  n      =   0.345078 +/- 0.0936 deg/day
  T      =   2.856195 +/- 1.4988 years
  Last perihelion JD = 2458524.590904 (2019-02-10 02:10:54.102802) +/- 549.6003 days
  Tj     =   1.740316 +/- 0.5367
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.923944e-03, +1.000837e-03, -1.977859e+01, +8.649663e-06, -2.176224e-01, +4.701047e-02
q   , +1.000837e-03, +6.034719e-04, -1.006280e+01, +5.143802e-06, -1.256910e-01, +2.861530e-02
Tp  , -1.977859e+01, -1.006280e+01, +2.201880e+05, -8.878517e-02, +2.180329e+03, -4.738642e+02
node, +8.649663e-06, +5.143802e-06, -8.878517e-02, +4.484932e-08, -1.074071e-03, +2.485203e-04
peri, -2.176224e-01, -1.256910e-01, +2.180329e+03, -1.074071e-03, +2.653426e+01, -5.948000e+00
i   , +4.701047e-02, +2.861530e-02, -4.738642e+02, +2.485203e-04, -5.948000e+00, +1.385922e+00

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: UK0021
  Avg. res. = 7.169e-06 s
  Stddev    = 2.68e-03 s

Begin point on the trajectory:
  Lon =    -4.059484 +/- 0.0002 deg
  Lat =    49.856355 +/- 0.0006 deg
  Ht  = 109938.26 +/- 38.87 m
End point on the trajectory:
  Lon =    -4.085722 +/- 0.0003 deg
  Lat =    49.885019 +/- 0.0005 deg
  Ht  = 100559.81 +/- 34.13 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000706,  80.713683,   109938.26,   100559.81,          0.015156,      1.38,     38.44,              32.65, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20211103_041754_822_0982016.fits"}
    UK003K,   False,    -4.388944,    50.464439,  133.00,   5.634946,  10.020524,   108899.10,   101898.64,          0.013164,     21.44,     19.53,              12.05, 1.0000,    True,    True, {"ff_name": "FF_UK003K_20211103_041747_884_0977664.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,     UK0021,       0,  0.000000, 2459521.679126020055,  87.98100,   9.47690,              202.86026,  46.81206,       202.84562,       46.80563,     87.98100,      +9.47690,      87.98922,       +9.46818,  -948119.65,  4082348.22,  4936583.68,      49.856355,       -4.059484,  109938.26,  149666.81,       0.00,               33.77,   -10.93,      0.00,           64710.16,     31.08,      1.10,          42.86,  +5.44,  +4.56
  1,     UK0021,       0,  0.040448, 2459521.679126488045,  87.56923,   9.08147,              203.28768,  46.32711,       203.29202,       46.32901,     87.56923,      +9.08147,      87.56695,       +9.08407,  -947130.55,  4080267.49,  4935241.80,      49.863916,       -4.066393,  107461.60,  147439.57,    2666.16,             2632.39,     0.01,  65915.66,           64710.16,     -9.14,     -0.32,          12.79,  +2.74,  +1.90
  2,     UK0021,       0,  0.080904, 2459521.679126956500,  87.10430,   8.70076,              203.78732,  45.84147,       203.75266,       45.82637,     87.10430,      +8.70076,      87.12429,       +8.67994,  -946122.34,  4078146.55,  4933873.99,      49.871630,       -4.073439,  104937.21,  145184.51,    5383.84,             5350.07,   129.50,  67176.20,           64710.16,     72.11,      2.61,         102.52,  +1.91,  +1.10
  3,     UK0021,       0,  0.121336, 2459521.679127424490,  86.70716,   8.31580,              204.18608,  45.36751,       204.17092,       45.36093,     86.70716,      +8.31580,      86.71631,       +8.30665,  -945219.16,  4076246.57,  4932648.67,      49.878544,       -4.079776,  102675.93,  143178.44,    7818.39,             7784.63,   -22.61,  60213.59,           64710.16,     31.28,      1.12,          45.08,  +2.00,  +1.22
  4,     UK0021,       0,  0.161760, 2459521.679127892479,  86.32735,   7.94360,              204.56085,  44.90923,       204.56703,       44.91191,     86.32735,      +7.94360,      86.32448,       +7.94734,  -944373.92,  4074468.47,  4931501.96,      49.885019,       -4.085722,  100559.81,  141313.54,   10096.78,            10063.01,  -330.37,  56362.14,           62674.18,    -12.64,     -0.45,          18.47,  +6.21,  +5.46
  0,     UK003K,       0,  0.013452, 2459521.679126211442, 113.83123,  17.89288,              160.77365,  56.24454,       160.74891,       56.23977,    113.83123,     +17.89288,     113.84650,      +17.89125,  -947704.65,  4081475.20,  4936020.66,      49.859527,       -4.062380,  108899.10,  130340.11,       0.00,             1084.88,   179.60,      0.00,           63168.46,     22.32,    -24.47,          52.41,  +4.92,  +4.34
  1,     UK003K,       0,  0.053620, 2459521.679126676172, 113.82068,  17.68300,              160.87396,  56.04199,       160.88084,       56.04331,    113.82068,     +17.68300,     113.81668,      +17.68345,  -946895.82,  4079773.71,  4934923.35,      49.865712,       -4.068061,  106873.87,  128209.50,    2180.22,             3265.10,  -209.94,  54277.61,           63168.46,     -6.12,      6.72,          14.63,  +1.75,  +1.21
  2,     UK003K,       0,  0.093844, 2459521.679127141833, 113.79420,  17.40575,              161.02572,  55.77691,       161.05135,       55.78182,    113.79420,     +17.40575,     113.77874,      +17.40743,  -945861.81,  4077598.49,  4933520.53,      49.873624,       -4.075285,  104284.92,  125488.89,    4967.46,             6052.34,     3.94,  69292.78,           63168.46,    -22.44,     24.67,          54.82,  +2.00,  +1.51
  3,     UK003K,       0,  0.134064, 2459521.679127607495, 113.75724,  17.14052,              161.18826,  55.52555,       161.21380,       55.53045,    113.75724,     +17.14052,     113.74194,      +17.14221,  -944908.69,  4075593.44,  4932227.46,      49.880922,       -4.081963,  101898.64,  122983.66,    7536.64,             8621.52,     0.02,  63878.16,           63168.46,    -22.05,     24.22,          54.94,  +4.35,  +3.90

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.