Orbital Analysis for matched events on 20211015_041401.257_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 112.36° Bg -20.05° Vg 67.76km/s
mass 0.02122g, abs. mag -0.6
best visual mag -0.2
Path Details
------------
start -2.34° 51.64° 113.74km
end   -2.44° 51.74° 104.33km

Orbit Details
-------------
Semimajor axis 9.09A.U., eccentricity 0.89, inclination 145.50°, Period 27.42Y, LA Sun 201.74°, last Perihelion 2021-10-14

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: 2459502.676403442863
Time: 2021-10-15 04:14:01.329923 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK003Z
 Convergence angle = 89.92484 deg
 R.A. = 111.51098  Dec =  +2.19122 deg

Best intersection: Stations UK002H and UK003Z with Qconv = 89.92 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    346051.55 +/- 51.23 m
 Y =   4022188.32 +/- 46.27 m
 Z =   5067244.57 +/- 67.93 m
 Vx =   -24700.52 +/- 222.46 m/s
 Vy =    64019.20 +/- 245.07 m/s
 Vz =     2513.97 +/- 484.65 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.735264e+03, +3.922009e+01, +2.667493e+03, +1.229563e+04, +7.521682e+03, +1.517265e+04
+3.922009e+01, +2.091777e+03, -9.372904e+02, +2.151565e+03, +4.627811e+03, -4.818809e+03
+2.667493e+03, -9.372904e+02, +4.343306e+03, +1.363053e+04, +2.454665e+03, +2.848244e+04
+1.229563e+04, +2.151565e+03, +1.363053e+04, +6.609292e+04, +3.451643e+04, +9.149381e+04
+7.521682e+03, +4.627811e+03, +2.454665e+03, +3.451643e+04, +4.783242e+04, -7.073847e+03
+1.517265e+04, -4.818809e+03, +2.848244e+04, +9.149381e+04, -7.073847e+03, +2.302445e+05

Timing offsets (from input data):
    UK002H: -0.000841 s
    UK003Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 04:14:01.329923 UTC
  Lon     = +-2.342261 +/- 0.0007 deg
  Lat     = +51.639982 +/- 0.0006 deg
  Lat geo = +51.455851 +/- 0.0006 deg
  Ht      =  113709.97 +/- 53.57 m

  JD dynamic   = 2459502.677205022424 
  LST apparent = 85.0826300260 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 111.09810 +/- 0.2466 deg
  Dec       =  +2.09819 +/- 0.3999 deg
  Azimuth   = 147.25142 +/- 0.2349 deg
  Elevation = +35.87744 +/- 0.4288 deg
  Vavg      =  66.45555 +/- 0.2161 km/s
  Vinit     =  68.66508 +/- 0.1561 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 111.31859 +/- 0.2466 deg
  Dec       =  +2.09423 +/- 0.3999 deg
  Azimuth   = 146.99718 +/- 0.2349 deg
  Elevation = +35.79944 +/- 0.4288 deg
  Vavg      =  66.58509 +/- 0.2161 km/s
  Vinit     =  68.79462 +/- 0.1561 km/s
Radiant (geocentric, J2000):
  R.A.   = 110.94589 +/- 0.2489 deg
  Dec    =  +1.77880 +/- 0.4023 deg
  Vg     =  67.76318 +/- 0.1582 km/s
  Vinf   =  68.66508 +/- 0.1561 km/s
  Zc     =  53.96776 +/- 0.4288 deg
  Zg     =  54.35348 +/- 0.4320 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 112.35609 +/- 0.3039 deg
  Bg     = -20.04808 +/- 0.3769 deg
  Vh     =  41.00806 +/- 0.2291 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 112.05297 +/- 0.5742 deg
  Bh     = -34.50276 +/- 0.5796 deg
  Vh_x   =  12.68868 +/- 0.2534 km/s
  Vh_y   = -31.32218 +/- 0.2686 km/s
  Vh_z   =  23.22885 +/- 0.4462 km/s
Orbit:
  La Sun = 201.736561 +/- 0.0000 deg
  a      =   9.093130 +/- 1.1503 AU
  e      =   0.890336 +/- 0.0210
  i      = 145.496837 +/- 0.5830 deg
  peri   = 359.449906 +/- 1.0119 deg
  node   =  21.738698 +/- 0.0000 deg
  Pi     =  21.188604 +/- 1.0119 deg
  q      =   0.997187 +/- 0.0003 AU
  f      =   0.550282 +/- 1.0119 deg
  M      =   0.014535 +/- 0.0412 deg
  Q      =  17.189073 +/- 2.3007 AU
  n      =   0.035945 +/- 0.0116 deg/day
  T      =  27.420209 +/- 4.7596 years
  Last perihelion JD = 2459502.272831 (2021-10-14 18:32:52.579323) +/- 1428.9948 days
  Tj     =  -0.419610 +/- 0.1098
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.408101e-04, -4.262252e-07, +1.049589e+01, -5.610144e-08, -1.736523e-03, -9.508892e-03
q   , -4.262252e-07, +6.024670e-08, -8.805717e-02, +5.662974e-10, +2.350064e-04, +9.684644e-05
Tp  , +1.049589e+01, -8.805717e-02, +2.352059e+06, -2.656669e-03, -6.210144e+02, -4.404719e+02
node, -5.610144e-08, +5.662974e-10, -2.656669e-03, +1.206363e-11, +2.457106e-06, +2.045617e-06
peri, -1.736523e-03, +2.350064e-04, -6.210144e+02, +2.457106e-06, +1.033181e+00, +4.170839e-01
i   , -9.508892e-03, +9.684644e-05, -4.404719e+02, +2.045617e-06, +4.170839e-01, +3.470147e-01

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: UK003Z
  Avg. res. = 1.685e-06 s
  Stddev    = 1.30e-03 s

Begin point on the trajectory:
  Lon =    -2.341979 +/- 0.0007 deg
  Lat =    51.639710 +/- 0.0003 deg
  Ht  = 113736.48 +/- 61.59 m
End point on the trajectory:
  Lon =    -2.443288 +/- 0.0004 deg
  Lat =    51.736475 +/- 0.0004 deg
  Ht  = 104334.51 +/- 42.21 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.000000,   0.000000,   112700.63,   106391.20,          0.026351,     11.44,    100.69,              27.02, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20211015_041401_981_0934912.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.488567,  24.378002,   113736.48,   104334.51,          0.021579,     53.57,      4.62,              90.91, 1.0000,    True,    True, {"ff_name": "FF_UK003Z_20211015_041354_039_0937472.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,     UK002H,       0,  0.031094, 2459502.676404182333,  86.09641,  -7.45686,              178.76910,  29.15011,       178.77462,       29.16390,     86.09641,      -7.45686,      86.09134,       -7.44314,   346671.16,  4020582.41,  5067181.51,      51.650349,       -2.352944,  112700.63,  225113.90,       0.00,             1722.45,    94.81,      0.00,           68190.96,    -57.03,      6.51,          52.59,  +3.59,  +1.83
  1,     UK002H,       0,  0.071210, 2459502.676404646598,  85.81164,  -7.58856,              179.09384,  29.02159,       179.11025,       29.06214,     85.81164,      -7.58856,      85.79691,       -7.54815,   347627.90,  4018102.72,  5067084.13,      51.666360,       -2.369680,  111142.68,  222741.15,    2659.65,             4382.10,    -0.11,  66298.90,           68190.96,   -166.17,     18.84,         154.86,  +2.37,  +0.63
  2,     UK002H,       0,  0.111278, 2459502.676405110396,  85.50438,  -7.66472,              179.44264,  28.94778,       179.44719,       28.95895,     85.50438,      -7.66472,      85.50060,       -7.65356,   348570.03,  4015660.89,  5066988.24,      51.682132,       -2.386181,  109609.20,  220411.13,    5278.68,             7001.13,  -132.35,  65364.74,           68190.96,    -45.34,      5.18,          42.71,  +1.73,  +0.01
  3,     UK002H,       0,  0.151390, 2459502.676405574661,  85.16282,  -7.78959,              179.82974,  28.82419,       179.83563,       28.83855,     85.16282,      -7.78959,      85.15805,       -7.77525,   349635.59,  4012899.16,  5066879.79,      51.699976,       -2.404845,  107875.66,  217783.93,    8240.82,             9963.28,    75.50,  73846.77,           68190.96,    -57.62,      6.58,          54.92,  +1.52,  -0.17
  4,     UK002H,       0,  0.191498, 2459502.676406038925,  84.86776,  -7.91187,              180.16317,  28.70192,       180.17570,       28.73215,     84.86776,      -7.91187,      84.85736,       -7.88163,   350548.45,  4010533.18,  5066786.88,      51.715268,       -2.420879,  106391.20,  215540.21,   10778.50,            12500.96,  -140.84,  63271.21,           67678.34,   -120.22,     13.68,         115.78,  +2.44,  +0.77
  0,     UK003Z,       0,  0.000000, 2459502.676404281519,  13.34057,  68.69121,              325.33161,  52.47575,       325.25215,       52.47404,     13.34057,     +68.69121,      13.35906,      +68.64324,   346035.28,  4022230.49,  5067246.22,      51.639710,       -2.341979,  113736.48,  142601.10,       0.00,               45.23,   552.66,      0.00,           65131.80,    -10.38,    120.09,         174.35,  +1.86,  +1.09
  1,     UK003Z,       0,  0.040644, 2459502.676404751837,  10.87131,  68.51138,              325.32783,  51.55713,       325.29890,       51.55649,     10.87131,     +68.51138,      10.88024,      +68.49368,   346855.67,  4020104.19,  5067162.73,      51.653436,       -2.356344,  112400.12,  142657.54,    2280.61,             2235.38,   -48.01,  56111.89,           65131.80,     -3.83,     44.64,          64.78,  +0.56,  -0.21
  2,     UK003Z,       0,  0.081456, 2459502.676405224483,   7.74287,  68.25693,              325.36975,  50.37735,       325.35807,       50.37709,      7.74287,     +68.25693,       7.74780,      +68.24968,   347912.04,  4017366.27,  5067055.21,      51.671116,       -2.374813,  110680.12,  142782.86,    5217.23,             5171.99,    86.24,  71954.66,           65131.80,     -1.58,     18.51,          26.83,  -0.05,  -0.82
  3,     UK003Z,       0,  0.122184, 2459502.676405695733,   4.98576,  67.98786,              325.42017,  49.31593,       325.40829,       49.31567,      4.98576,     +67.98786,       4.99188,      +67.98041,   348864.49,  4014897.71,  5066958.27,      51.687062,       -2.391501,  109130.06,  142948.06,    7864.93,             7819.70,   -62.64,  65009.43,           65131.80,     -1.65,     19.26,          27.89,  -0.21,  -0.99
  4,     UK003Z,       0,  0.162976, 2459502.676406167913,   2.09175,  67.64462,              325.46790,  48.17113,       325.46056,       48.17097,      2.09175,     +67.64462,       2.09650,      +67.63997,   349894.65,  4012227.73,  5066853.42,      51.704315,       -2.409560,  107454.32,  143181.51,   10728.67,            10683.44,     0.11,  70203.49,           66362.75,     -1.04,     12.20,          17.64,  -0.25,  -1.03
  5,     UK003Z,       0,  0.203764, 2459502.676406640094, 359.37211,  67.24528,              325.48632,  47.05431,       325.50920,       47.05482,    359.37211,     +67.24528,     359.35854,      +67.25985,   350902.68,  4009615.08,  5066750.83,      51.721204,       -2.427257,  105815.35,  143465.20,   13530.91,            13485.68,     1.64,  68702.64,           67048.76,      3.31,    -38.92,          56.16,  +0.05,  -0.73
  6,     UK003Z,       0,  0.244448, 2459502.676407110877, 356.95536,  66.89181,              325.57151,  46.05030,       325.55077,       46.04984,    356.95536,     +66.89181,     356.97081,      +66.87857,   351813.87,  4007253.45,  5066658.09,      51.736475,       -2.443288,  104334.51,  143768.77,   16063.93,            16018.70,  -258.91,  62260.74,           66781.53,     -3.08,     36.00,          51.84,  +1.55,  +0.76
  7,     UK003Z,       1,  0.285156, 2459502.676407582127, 354.63951,  66.46584,              325.59996,  45.03965,       325.59112,       45.03945,    354.63951,     +66.46584,     354.64738,      +66.46019,   352734.15,  4004868.25,  5066564.43,      51.751903,       -2.459496,  102839.53,  144120.03,   18622.22,            18576.99,  -495.83,  62845.01,           66342.53,     -1.33,     15.66,          22.50,  +3.37,  +2.58

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.