Orbital Analysis for matched events on 20211103_045436.421_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 112.89° Bg 57.04° Vg 43.35km/s
mass 0.00925g, abs. mag 0.5
best visual mag 0.9
Path Details
------------
start -0.60° 52.69° 105.37km
end   -0.62° 52.66° 97.13km

Orbit Details
-------------
Semimajor axis 2.54A.U., eccentricity 0.63, inclination 78.23°, Period 4.04Y, LA Sun 220.69°, last Perihelion 2017-11-12

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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459521.704588215798
Time: 2021-11-03 04:54:36.425909 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK0035
 Convergence angle = 22.01740 deg
 R.A. = 154.65180  Dec = +75.06059 deg
Intersection 2 - Stations: UK002F and UK003X
 Convergence angle = 27.05470 deg
 R.A. = 170.26419  Dec = +75.60047 deg
Intersection 3 - Stations: UK0035 and UK003X
 Convergence angle = 5.29866 deg
 R.A. = 205.02676  Dec = +63.85783 deg

Best intersection: Stations UK002F and UK003X with Qconv = 27.05 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1709240.67 +/- 470.64 m
 Y =   3547702.66 +/- 249.00 m
 Z =   5133625.26 +/- 1051.45 m
 Vx =    -9641.57 +/- 1049.55 m/s
 Vy =     5920.99 +/- 2507.89 m/s
 Vz =    43290.15 +/- 1870.50 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.272662e+04, +1.051283e+04, -4.569652e+04, +1.272233e+05, +1.024419e+05, -1.820667e+05
+1.051283e+04, +1.023109e+04, -1.124856e+04, +6.414162e+04, +7.009742e+04, -4.485339e+04
-4.569652e+04, -1.124856e+04, +1.122373e+05, -2.466991e+05, -1.710691e+05, +4.388049e+05
+1.272233e+05, +6.414162e+04, -2.466991e+05, +7.580326e+05, +6.229779e+05, -1.065657e+06
+1.024419e+05, +7.009742e+04, -1.710691e+05, +6.229779e+05, +6.123745e+05, -6.755703e+05
-1.820667e+05, -4.485339e+04, +4.388049e+05, -1.065657e+06, -6.755703e+05, +2.008156e+06

Timing offsets (from input data):
    UK002F: -0.052429 s
    UK0035: -2.245712 s
    UK003X: -2.215474 s

Reference point on the trajectory:
  Time: 2021-11-03 04:54:36.425909 UTC
  Lon     = +-0.601843 +/- 0.0077 deg
  Lat     = +52.691015 +/- 0.0056 deg
  Lat geo = +52.508345 +/- 0.0057 deg
  Ht      =  105372.77 +/- 840.87 m

  JD dynamic   = 2459521.705389003735 
  LST apparent = 115.7242105206 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 148.44544 +/- 12.6281 deg
  Dec       = +75.35259 +/- 0.8977 deg
  Azimuth   =  18.14046 +/- 4.5501 deg
  Elevation = +63.95829 +/- 2.6734 deg
  Vavg      =  46.21236 +/- 4.7381 km/s
  Vinit     =  44.74433 +/- 1.7369 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 149.65211 +/- 12.6281 deg
  Dec       = +75.15730 +/- 0.8977 deg
  Azimuth   =  18.93275 +/- 4.5501 deg
  Elevation = +63.85335 +/- 2.6734 deg
  Vavg      =  46.25252 +/- 4.7381 km/s
  Vinit     =  44.78448 +/- 1.7369 km/s
Radiant (geocentric, J2000):
  R.A.   = 149.19513 +/- 12.8988 deg
  Dec    = +75.73662 +/- 0.9850 deg
  Vg     =  43.34564 +/- 1.7864 km/s
  Vinf   =  44.74433 +/- 1.7369 km/s
  Zc     =  26.21535 +/- 2.6680 deg
  Zg     =  26.63901 +/- 2.6866 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 112.88847 +/- 5.7959 deg
  Bg     = +57.03717 +/- 1.8198 deg
  Vh     =  37.92781 +/- 1.7502 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 355.95311 +/- 13.8742 deg
  Bh     = +73.51172 +/- 2.6832 deg
  Vh_x   = -10.73780 +/- 1.8277 km/s
  Vh_y   =   0.75969 +/- 1.7768 km/s
  Vh_z   = -36.36813 +/- 2.1279 km/s
Orbit:
  La Sun = 220.691221 +/- 0.0000 deg
  a      =   2.535416 +/- 32.8887 AU
  e      =   0.629370 +/- 0.1512
  i      =  78.231067 +/- 1.2750 deg
  peri   = 210.311381 +/- 10.0442 deg
  node   = 220.693033 +/- 0.0000 deg
  Pi     =  71.004413 +/- 10.0442 deg
  q      =   0.939700 +/- 0.0227 AU
  f      = 329.689438 +/- 10.0442 deg
  M      = 354.442158 +/- nan deg
  Q      =   4.131132 +/- 65.7833 AU
  n      =   0.244135 +/- 0.0817 deg/day
  T      =   4.037147 +/- nan years
  Last perihelion JD = 2458069.877288 (2017-11-12 09:03:17.664951) +/- 11573.6623 days
  Tj     =   2.273892 +/- 0.8431
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.079427e-02, +1.228769e-03, -2.984254e+02, +1.946110e-06, -5.119943e-01, +1.340418e-01
q   , +1.228769e-03, +1.890843e-04, -3.583694e+01, +2.042114e-07, -7.246342e-02, +1.407135e-02
Tp  , -2.984254e+02, -3.583694e+01, +2.394667e+07, -4.669180e-02, +1.492897e+04, -3.221351e+03
node, +1.946110e-06, +2.042114e-07, -4.669180e-02, +3.757136e-10, -8.555158e-05, +2.588219e-05
peri, -5.119943e-01, -7.246342e-02, +1.492897e+04, -8.555158e-05, +2.859386e+01, -5.893089e+00
i   , +1.340418e-01, +1.407135e-02, -3.221351e+03, +2.588219e-05, -5.893089e+00, +1.782987e+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: UK002F
  Avg. res. = 1.050e-06 s
  Stddev    = 1.02e-03 s

Begin point on the trajectory:
  Lon =    -0.601843 +/- 0.0074 deg
  Lat =    52.691015 +/- 0.0053 deg
  Ht  = 105372.77 +/- 765.41 m
End point on the trajectory:
  Lon =    -0.620922 +/- 0.0072 deg
  Lat =    52.657131 +/- 0.0053 deg
  Ht  = 97130.19 +/- 759.47 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105276.65,    97130.19,          0.024896,     40.00,     49.51,              13.31, 0.0530,    True,    True, {"ff_name": "FF_UK002F_20211103_045426_665_1028352.fits"}
    UK0035,   False,     1.010397,    52.949859,   25.00,   0.000007,   0.000000,   105372.77,    98297.37,          0.004371,      4.78,     10.65,              68.52, 0.8660,    True,    True, {"ff_name": "FF_UK0035_20211103_045432_442_1071872.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000000,   0.000000,   103366.11,    98488.53,          0.023810,     30.53,     73.20,              30.50, 0.2576,    True,    True, {"ff_name": "FF_UK003X_20211103_045431_638_1047808.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,     UK002F,       0,  0.000000, 2459521.704588215798, 213.84483,  70.49627,               27.93638,  45.23426,        27.85562,       45.21979,    213.84483,     +70.49627,     213.96770,      +70.53828, -1709217.62,  3547688.50,  5133521.76,      52.690620,       -0.602039,  105276.65,  147037.27,       0.00,              106.98,   -61.91,      0.00,           44800.74,   -117.18,     94.63,         211.29,  +3.87,  +3.03
  1,     UK002F,       0,  0.040188, 2459521.704588680994, 214.46353,  70.38610,               27.92324,  44.99984,        27.92846,       45.00077,    214.46353,     +70.38610,     214.45575,      +70.38340, -1708830.18,  3547450.57,  5131782.15,      52.683987,       -0.605783,  103661.20,  145331.60,    1798.04,             1905.02,   -25.29,  44740.71,           44800.74,      7.49,     -6.08,          13.69,  +3.48,  +2.67
  2,     UK002F,       0,  0.080376, 2459521.704589146189, 214.91924,  70.23305,               27.99784,  44.78959,        27.99785,       44.78959,    214.91924,     +70.23305,     214.91955,      +70.23305, -1708464.95,  3547226.28,  5130142.30,      52.677731,       -0.609323,  102138.45,  143725.61,    3492.97,             3599.96,   -91.77,  42175.13,           44800.74,      0.02,     -0.02,           0.04,  +2.38,  +1.59
  3,     UK002F,       0,  0.120596, 2459521.704589611385, 215.44029,  70.04919,               28.08934,  44.54281,        28.07962,       44.54109,    215.44029,     +70.04919,     215.45572,      +70.05419, -1708045.85,  3546968.90,  5128260.55,      52.670548,       -0.613361,  100391.18,  141885.88,    5437.93,             5544.92,    90.38,  48358.04,           44800.74,    -13.71,     11.14,          25.68,  +2.46,  +1.70
  4,     UK002F,       0,  0.160812, 2459521.704590077046, 215.97538,  69.87625,               28.15943,  44.29580,        28.15943,       44.29580,    215.97538,     +69.87625,     215.97606,      +69.87625, -1707642.54,  3546721.23,  5126449.71,      52.663632,       -0.617254,   98709.83,  140118.03,    7309.60,             7416.59,   199.40,  46540.38,           45417.22,     -0.00,      0.00,           0.00,  +1.81,  +1.08
  5,     UK002F,       0,  0.201024, 2459521.704590542242, 216.43785,  69.69383,               28.25482,  44.06313,        28.23530,       44.05968,    216.43785,     +69.69383,     216.46890,      +69.70378, -1707263.61,  3546488.52,  5124748.33,      52.657131,       -0.620922,   97130.19,  138459.32,    9068.14,             9175.13,   195.48,  43731.69,           45352.44,    -27.11,     22.02,          52.02,  +2.40,  +1.69
  6,     UK002F,       1,  0.241176, 2459521.704591006972, 216.71050,  69.54128,               28.36150,  43.90066,        28.28865,       43.88768,    216.71050,     +69.54128,     216.82454,      +69.57823, -1706992.51,  3546322.04,  5123531.14,      52.652478,       -0.623595,   96000.12,  137273.08,   10326.22,            10433.20,  -306.29,  31332.80,           43829.35,   -100.68,     81.53,         194.67,  +5.74,  +5.05
  0,     UK0035,       0,  0.008122, 2459521.704588262830,  64.91129,  25.40207,              255.79896,  42.39615,       255.79941,       42.39600,     64.91129,     +25.40207,      64.91091,      +25.40218, -1709240.67,  3547702.66,  5133625.26,      52.691015,       -0.601843,  105372.77,  154756.67,       0.00,                0.00,  -203.55,      0.00,           47949.51,     -0.91,      0.41,           1.33,  +3.55,  +2.60
  1,     UK0035,       0,  0.048762, 2459521.704588733148,  64.67297,  24.66843,              255.38506,  41.69587,       255.38505,       41.69587,     64.67297,     +24.66843,      64.67316,      +24.66843, -1708749.37,  3547400.94,  5131419.31,      52.682603,       -0.606548,  103324.27,  153773.60,    2280.05,             2280.05,   177.58,  56103.62,           47949.51,      0.01,     -0.00,           0.01,  +2.27,  +1.34
  2,     UK0035,       0,  0.089270, 2459521.704589202069,  64.47515,  24.08791,              255.07460,  41.13438,       255.06274,       41.13827,     64.47515,     +24.08791,      64.48576,      +24.08521, -1708363.59,  3547164.04,  5129687.22,      52.675994,       -0.610279,  101715.89,  153022.86,    4070.33,             4070.33,    75.10,  44195.59,           47949.51,     23.73,    -10.64,          35.06,  +1.92,  +1.00
  3,     UK0035,       0,  0.129790, 2459521.704589670990,  64.29451,  23.48845,              254.73944,  40.56658,       254.73856,       40.56687,     64.29451,     +23.48845,      64.29580,      +23.48825, -1707972.71,  3546923.99,  5127932.18,      52.669294,       -0.614058,  100086.28,  152279.79,    5884.32,             5884.32,    -4.22,  44767.90,           47949.51,      1.77,     -0.79,           2.63,  +1.89,  +0.98
  4,     UK0035,       0,  0.170366, 2459521.704590140842,  64.08693,  22.82604,              254.38507,  39.93251,       254.38531,       39.93242,     64.08693,     +22.82604,      64.08741,      +22.82610, -1707543.60,  3546660.46,  5126005.47,      52.661935,       -0.618191,   98297.37,  151484.08,    7875.76,             7875.76,    91.28,  49079.17,           47732.31,     -0.50,      0.22,           0.74,  +2.00,  +1.10
  5,     UK0035,       1,  0.210838, 2459521.704590609297,  63.99660,  22.24501,              253.99561,  39.42781,       254.09273,       39.39610,     63.99660,     +22.24501,      63.91279,      +22.26725, -1707185.12,  3546440.32,  5124395.94,      52.655784,       -0.621672,   96803.02,  150837.69,    9539.35,             9539.35,  -136.19,  41104.88,           46725.43,   -195.61,     87.91,         293.26,  +5.39,  +4.50
  0,     UK003X,       0,  0.048081, 2459521.704588722438, 216.59312,  50.54256,               46.53732,  31.30870,        46.55252,       31.31386,    216.59312,     +50.54256,     216.57313,      +50.53701, -1708759.40,  3547407.11,  5131464.38,      52.682775,       -0.606452,  103366.11,  194531.44,       0.00,             2233.47,   -37.26,      0.00,           44744.33,     43.76,    -18.28,          50.29,  +3.66,  +2.22
  1,     UK003X,       0,  0.088321, 2459521.704589188099, 216.77830,  50.23209,               46.69610,  31.00560,        46.69381,       31.00482,    216.77830,     +50.23209,     216.78169,      +50.23293, -1708349.11,  3547155.14,  5129622.20,      52.675746,       -0.610408,  101655.51,  192991.22,    1904.06,             4137.54,    66.29,  47317.64,           44744.33,     -6.56,      2.74,           7.60,  +3.24,  +1.81
  2,     UK003X,       0,  0.128541, 2459521.704589653295, 216.93806,  49.94660,               46.84549,  30.73070,        46.82176,       30.72263,    216.93806,     +49.94660,     216.96994,      +49.95520, -1707980.09,  3546928.52,  5127965.29,      52.669421,       -0.613984,  100117.02,  191610.78,    3616.63,             5850.10,   -20.77,  42579.91,           44744.33,    -67.69,     28.24,          78.96,  +2.60,  +1.19
  3,     UK003X,       0,  0.168777, 2459521.704590118956, 217.11235,  49.64082,               47.00153,  30.43386,        46.95855,       30.41925,    217.11235,     +49.64082,     217.16970,      +49.65633, -1707589.45,  3546688.63,  5126211.36,      52.662722,       -0.617760,   98488.53,  190155.85,    5429.47,             7662.94,    -8.26,  45055.26,           44744.33,   -122.03,     50.88,         143.41,  +0.86,  -0.54

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.