Orbital Analysis for matched events on 20211111_002016.095_UK

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Summary for Event
-----------------
shower ID -1 spo ()
Lg 77.15° Bg 23.00° Vg 44.62km/s
mass 0.01542g, abs. mag 0.4
best visual mag 0.6
Path Details
------------
start -0.42° 50.60° 94.63km
end   -0.45° 50.61° 84.14km

Orbit Details
-------------
Semimajor axis 18.01A.U., eccentricity 0.99, inclination 59.18°, Period 76.44Y, LA Sun 228.53°, last Perihelion 1945-07-06

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: 2459529.514075176325
Time: 2021-11-11 00:20:16.095234 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK002B
 Convergence angle = 4.87866 deg
 R.A. =  75.43680  Dec = +44.74082 deg

Best intersection: Stations UK0001 and UK002B with Qconv = 4.88 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2359658.58 +/- 118.53 m
 Y =   3372882.23 +/- 957.12 m
 Z =   4978814.30 +/- 558.59 m
 Vx =     9312.00 +/- 3075.07 m/s
 Vy =    30672.99 +/- 5472.23 m/s
 Vz =    32972.07 +/- 5193.52 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.779958e+03, -4.873952e+04, -2.847739e+04, +1.120011e+04, -5.008065e+04, -3.688132e+04
-4.873952e+04, +3.728460e+05, +2.184856e+05, -7.761099e+04, +4.156321e+05, +2.835283e+05
-2.847739e+04, +2.184856e+05, +1.290221e+05, -5.053902e+04, +2.533776e+05, +1.737086e+05
+1.120011e+04, -7.761099e+04, -5.053902e+04, +1.995496e+05, -8.261303e+05, -4.432312e+05
-5.008065e+04, +4.156321e+05, +2.533776e+05, -8.261303e+05, +3.942029e+06, +2.015173e+06
-3.688132e+04, +2.835283e+05, +1.737086e+05, -4.432312e+05, +2.015173e+06, +1.068655e+06

Timing offsets (from input data):
    UK0001: 0.006755 s
    UK002B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-11 00:20:16.095234 UTC
  Lon     = +-0.415384 +/- 0.0090 deg
  Lat     = +50.603092 +/- 0.0018 deg
  Lat geo = +50.416983 +/- 0.0018 deg
  Ht      =   94646.92 +/- 887.17 m

  JD dynamic   = 2459529.514875917230 
  LST apparent = 55.0234762797 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  73.11227 +/- 4.0394 deg
  Dec       = +45.80767 +/- 1.9082 deg
  Azimuth   = 104.74828 +/- 1.3429 deg
  Elevation = +77.06727 +/- 3.4100 deg
  Vavg      =  45.31568 +/- 5.5616 km/s
  Vinit     =  45.98590 +/- 5.7308 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  73.62078 +/- 4.0394 deg
  Dec       = +45.72340 +/- 1.9082 deg
  Azimuth   = 104.33455 +/- 1.3429 deg
  Elevation = +76.71494 +/- 3.4100 deg
  Vavg      =  45.38158 +/- 5.5616 km/s
  Vinit     =  46.05180 +/- 5.7308 km/s
Radiant (geocentric, J2000):
  R.A.   =  72.95993 +/- 4.0202 deg
  Dec    = +45.68236 +/- 1.9096 deg
  Vg     =  44.62402 +/- 5.8841 km/s
  Vinf   =  45.98590 +/- 5.7308 km/s
  Zc     =  12.88659 +/- 3.3973 deg
  Zg     =  13.08110 +/- 3.3997 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  77.14926 +/- 2.8124 deg
  Bg     = +23.00190 +/- 2.2243 deg
  Vh     =  41.74459 +/- 3.1432 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  32.60831 +/- 8.1452 deg
  Bh     = +24.69105 +/- 1.1279 deg
  Vh_x   = -31.94959 +/- 0.8986 km/s
  Vh_y   = -20.43915 +/- 6.4452 km/s
  Vh_z   = -17.43777 +/- 0.4900 km/s
Orbit:
  La Sun = 228.528914 +/- -0.0000 deg
  a      =  18.011857 +/- 23.1423 AU
  e      =   0.987269 +/- 0.0637
  i      =  59.178349 +/- 13.8088 deg
  peri   = 303.143410 +/- 2.7516 deg
  node   = 228.529041 +/- 0.0002 deg
  Pi     = 171.672451 +/- 2.7518 deg
  q      =   0.229317 +/- 0.0401 AU
  f      = 236.857527 +/- 2.7517 deg
  M      = 359.548310 +/- nan deg
  Q      =  35.794396 +/- 46.2774 AU
  n      =   0.012893 +/- 0.1981 deg/day
  T      =  76.443113 +/- nan years
  Last perihelion JD = 2431643.214368 (1945-07-06 17:08:41.435729) +/- 91157.7138 days
  Tj     =   0.592170 +/- 1.7822
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.745473e-04, -4.993255e-04, -1.364623e+03, +1.923001e-06, +4.337175e-02, +9.260286e-02
q   , -4.993255e-04, +5.412623e-04, +1.306973e+03, -2.020678e-06, -4.783601e-02, -9.696799e-02
Tp  , -1.364623e+03, +1.306973e+03, +1.596619e+10, -7.043700e+00, -1.074927e+05, -3.644749e+05
node, +1.923001e-06, -2.020678e-06, -7.043700e+00, +8.013784e-09, +1.754507e-04, +3.888352e-04
peri, +4.337175e-02, -4.783601e-02, -1.074927e+05, +1.754507e-04, +4.269148e+00, +8.404737e+00
i   , +9.260286e-02, -9.696799e-02, -3.644749e+05, +3.888352e-04, +8.404737e+00, +1.893740e+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: UK002B
  Avg. res. = 9.720e-07 s
  Stddev    = 9.86e-04 s

Begin point on the trajectory:
  Lon =    -0.415450 +/- 0.0090 deg
  Lat =    50.603103 +/- 0.0018 deg
  Ht  = 94625.40 +/- 888.06 m
End point on the trajectory:
  Lon =    -0.448925 +/- 0.0079 deg
  Lat =    50.608537 +/- 0.0017 deg
  Ht  = 84140.33 +/- 727.47 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   1.172497,   0.000000,    94062.52,    85000.03,          0.008836,     18.63,      8.25,              31.71, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20211111_002009_925_0656128.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000280,  57.460978,    94625.40,    84140.33,          0.017917,     31.08,     16.83,              22.19, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20211111_002015_047_0659200.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,     UK0001,       0,  0.013495, 2459529.514075479936, 104.23164,  23.40822,              105.85098,  42.53549,       105.86443,       42.53564,    104.23164,     +23.40822,     104.22344,      +23.40178,  2359537.16,  3372482.29,  4978384.38,      50.603395,       -0.417300,   94062.52,  137919.12,       0.00,              599.60,    10.37,      0.00,           45967.51,     -9.66,     21.82,          35.68,  +3.63,  +2.93
  1,     UK0001,       0,  0.053795, 2459529.514075946528, 104.51170,  23.08804,              105.87598,  42.12515,       105.87495,       42.12514,    104.51170,     +23.08804,     104.51250,      +23.08854,  2359176.94,  3371295.76,  4977108.92,      50.604293,       -0.422830,   92328.77,  136433.30,    1778.88,             2378.49,   -63.98,  44141.01,           45967.51,      0.73,     -1.66,           2.74,  +2.86,  +2.19
  2,     UK0001,       0,  0.094143, 2459529.514076413587, 104.83795,  22.72677,              105.89227,  41.65538,       105.88658,       41.65531,    104.83795,     +22.72677,     104.84180,      +22.72952,  2358774.39,  3369969.79,  4975683.56,      50.605296,       -0.428994,   90391.28,  134782.34,    3766.82,             4366.42,    68.51,  49269.72,           45967.51,      4.05,     -9.14,          15.29,  +1.28,  +0.63
  3,     UK0001,       0,  0.134459, 2459529.514076880179, 105.13711,  22.40686,              105.89517,  41.23270,       105.89715,       41.23272,    105.13711,     +22.40686,     105.13639,      +22.40590,  2358420.19,  3368803.09,  4974429.41,      50.606180,       -0.434440,   88686.51,  133336.33,    5515.97,             6115.58,   -36.30,  43386.16,           45967.51,     -1.40,      3.17,           5.36,  +1.14,  +0.52
  4,     UK0001,       0,  0.174795, 2459529.514077346772, 105.45329,  22.04871,              105.91364,  40.77038,       105.90841,       40.77032,    105.45329,     +22.04871,     105.45723,      +22.05126,  2358041.41,  3367555.40,  4973088.20,      50.607125,       -0.440257,   86863.42,  131798.74,    7386.55,             7986.16,   -20.61,  46374.91,           45901.03,      3.70,     -8.34,          14.28,  +1.36,  +0.76
  5,     UK0001,       0,  0.215163, 2459529.514077813830, 105.80556,  21.69119,              105.89603,  40.28611,       105.91997,       40.28638,    105.80556,     +21.69119,     105.79133,      +21.67945,  2357654.24,  3366280.12,  4971717.33,      50.608091,       -0.446202,   85000.03,  130236.42,    9298.49,             9898.09,    34.97,  47362.74,           46091.09,    -16.80,     37.97,          65.76,  +2.70,  +2.13
  0,     UK002B,       0,  0.000000, 2459529.514075176325,  95.39818,  29.31772,              108.99136,  52.48906,       109.00202,       52.48937,     95.39818,     +29.31772,      95.39241,      +29.31350,  2359654.11,  3372867.51,  4978798.48,      50.603103,       -0.415450,   94625.40,  118752.28,       0.00,               22.07,    53.43,      0.00,           45775.68,     -6.39,     11.84,          23.38,  +2.43,  +2.06
  1,     UK002B,       0,  0.040244, 2459529.514075641986,  95.64087,  29.03400,              109.05604,  52.13716,       109.03314,       52.13649,     95.64087,     +29.03400,      95.65319,      +29.04311,  2359290.24,  3371668.98,  4977510.11,      50.604010,       -0.421033,   92874.11,  117106.29,    1796.87,             1818.95,    -0.35,  44649.50,           45775.68,     13.68,    -25.30,          50.66,  +2.10,  +1.76
  2,     UK002B,       0,  0.080512, 2459529.514076108113,  95.92459,  28.76510,              109.05895,  51.77110,       109.06481,       51.77127,     95.92459,     +28.76510,      95.92166,      +28.76276,  2358924.15,  3370463.09,  4976213.83,      50.604923,       -0.426652,   91112.07,  115454.84,    3604.79,             3626.86,   -44.20,  44897.00,           45775.68,     -3.47,      6.43,          13.06,  +1.43,  +1.12
  3,     UK002B,       0,  0.120780, 2459529.514076574240,  96.18725,  28.43155,              109.15182,  51.36972,       109.09892,       51.36814,     96.18725,     +28.43155,      96.21644,      +28.45282,  2358532.16,  3369171.90,  4974825.87,      50.605901,       -0.432661,   89225.41,  113692.45,    5540.57,             5562.64,    39.83,  48072.49,           45775.68,     31.27,    -57.68,         119.04,  +0.62,  +0.34
  4,     UK002B,       0,  0.161068, 2459529.514077040367,  96.48072,  28.14013,              109.16377,  50.98029,       109.13148,       50.97933,     96.48072,     +28.14013,      96.49899,      +28.15319,  2358164.99,  3367962.48,  4973525.79,      50.606817,       -0.438303,   87458.23,  112046.47,    7353.78,             7375.85,     0.35,  45006.10,           45822.08,     18.96,    -35.01,          73.29,  +0.70,  +0.45
  5,     UK002B,       0,  0.201356, 2459529.514077506494,  96.77164,  27.83001,              109.19572,  50.57809,       109.16456,       50.57717,     96.77164,     +27.83001,      96.78959,      +27.84268,  2357796.24,  3366747.85,  4972220.12,      50.607737,       -0.443972,   85683.46,  110398.79,    9174.79,             9196.86,   -31.32,  45199.84,           45746.38,     18.17,    -33.55,          71.29,  +1.02,  +0.81
  6,     UK002B,       0,  0.241628, 2459529.514077972621,  97.05481,  27.57101,              109.17899,  50.21778,       109.19411,       50.21822,     97.05481,     +27.57101,      97.04730,      +27.56483,  2357475.62,  3365691.76,  4971084.87,      50.608537,       -0.448925,   84140.33,  108969.77,   10758.11,            10780.19,  -299.93,  39315.79,           45030.35,     -8.75,     16.20,          34.86,  +1.84,  +1.65

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.