Orbital Analysis for matched events on 20211103_021418.897_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 90.25° Bg 24.56° Vg 50.55km/s
mass 0.00400g, abs. mag 1.1
best visual mag 1.6
Path Details
------------
start -2.83° 51.90° 105.45km
end   -2.86° 51.90° 96.25km

Orbit Details
-------------
Semimajor axis 2.16A.U., eccentricity 0.87, inclination 103.43°, Period 3.18Y, LA Sun 220.58°, last Perihelion 2018-10-08

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: 2459521.593274278566
Time: 2021-11-03 02:14:18.901048 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK003R
 Convergence angle = 47.46452 deg
 R.A. =  92.46384  Dec = +45.73313 deg
Intersection 2 - Stations: UK0006 and UK0049
 Convergence angle = 34.15737 deg
 R.A. =  85.02055  Dec = +47.14784 deg
Intersection 3 - Stations: UK003R and UK0049
 Convergence angle = 81.51872 deg
 R.A. =  90.58255  Dec = +48.46418 deg

Best intersection: Stations UK003R and UK0049 with Qconv = 81.52 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1151348.11 +/- 55.49 m
 Y =   3839983.86 +/- 42.30 m
 Z =   5079028.46 +/- 62.14 m
 Vx =     -343.30 +/- 421.39 m/s
 Vy =    34592.40 +/- 562.22 m/s
 Vz =    38494.89 +/- 546.83 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.259632e+03, +1.737955e+01, +1.866710e+03, +1.705119e+04, -1.401385e+03, +2.059262e+04
+1.737955e+01, +2.118201e+03, -3.831741e+02, +2.394573e+03, +6.139408e+03, -7.373366e+03
+1.866710e+03, -3.831741e+02, +4.139173e+03, +5.968145e+03, -5.961675e+03, +2.202951e+04
+1.705119e+04, +2.394573e+03, +5.968145e+03, +1.964333e+05, +4.892032e+04, +1.387447e+05
-1.401385e+03, +6.139408e+03, -5.961675e+03, +4.892032e+04, +6.504227e+04, -5.742750e+04
+2.059262e+04, -7.373366e+03, +2.202951e+04, +1.387447e+05, -5.742750e+04, +2.989846e+05

Timing offsets (from input data):
    UK0006: -0.000237 s
    UK003R: 0.000000 s
    UK0049: -0.000466 s

Reference point on the trajectory:
  Time: 2021-11-03 02:14:18.901048 UTC
  Lon     = +-2.833706 +/- 0.0008 deg
  Lat     = +51.899950 +/- 0.0004 deg
  Lat geo = +51.715983 +/- 0.0004 deg
  Ht      =  105531.33 +/- 57.42 m

  JD dynamic   = 2459521.594075058587 
  LST apparent = 73.3096134599 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  90.56860 +/- 0.7113 deg
  Dec       = +48.05500 +/- 0.4911 deg
  Azimuth   = 102.33678 +/- 2.2836 deg
  Elevation = +78.28749 +/- 0.5064 deg
  Vavg      =  52.44776 +/- 0.3473 km/s
  Vinit     =  51.75528 +/- 0.3421 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  91.02980 +/- 0.7113 deg
  Dec       = +47.98274 +/- 0.4911 deg
  Azimuth   = 102.00518 +/- 2.2836 deg
  Elevation = +77.97808 +/- 0.5064 deg
  Vavg      =  52.50652 +/- 0.3473 km/s
  Vinit     =  51.81404 +/- 0.3421 km/s
Radiant (geocentric, J2000):
  R.A.   =  90.34096 +/- 0.7210 deg
  Dec    = +47.99836 +/- 0.4971 deg
  Vg     =  50.55103 +/- 0.3501 km/s
  Vinf   =  51.75528 +/- 0.3421 km/s
  Zc     =  11.67457 +/- 0.5051 deg
  Zg     =  11.81246 +/- 0.5127 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  90.25085 +/- 0.5260 deg
  Bg     = +24.56096 +/- 0.4973 deg
  Vh     =  37.12439 +/- 0.5486 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  50.01944 +/- 0.3525 deg
  Bh     = +34.47145 +/- 0.6108 deg
  Vh_x   = -19.66498 +/- 0.4243 km/s
  Vh_y   = -23.45197 +/- 0.2407 km/s
  Vh_z   = -21.01224 +/- 0.5104 km/s
Orbit:
  La Sun = 220.579718 +/- 0.0000 deg
  a      =   2.163123 +/- 0.3004 AU
  e      =   0.872123 +/- 0.0111
  i      = 103.433547 +/- 0.5238 deg
  peri   = 303.239655 +/- 2.0676 deg
  node   = 220.581251 +/- 0.0000 deg
  Pi     = 163.820906 +/- 2.0676 deg
  q      =   0.276614 +/- 0.0120 AU
  f      = 236.761228 +/- 2.0676 deg
  M      = 347.546046 +/- 1.8396 deg
  Q      =   4.049632 +/- 0.5933 AU
  n      =   0.309801 +/- 0.0440 deg/day
  T      =   3.181430 +/- 0.7276 years
  Last perihelion JD = 2458399.756283 (2018-10-08 06:09:02.888546) +/- 266.0744 days
  Tj     =   2.259338 +/- 0.2404
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.373187e-04, +6.576103e-05, -3.212116e+00, -8.140917e-08, -1.756662e-02, -5.144431e-03
q   , +6.576103e-05, +1.669114e-04, -2.452199e+00, -8.522774e-08, -2.785745e-02, -5.376291e-03
Tp  , -3.212116e+00, -2.452199e+00, +8.344378e+04, +2.274922e-03, +5.403948e+02, +1.437421e+02
node, -8.140917e-08, -8.522774e-08, +2.274922e-03, +7.524989e-11, +1.699757e-05, +4.752875e-06
peri, -1.756662e-02, -2.785745e-02, +5.403948e+02, +1.699757e-05, +5.040948e+00, +1.072704e+00
i   , -5.144431e-03, -5.376291e-03, +1.437421e+02, +4.752875e-06, +1.072704e+00, +3.002011e-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: UK003R
  Avg. res. = 3.529e-06 s
  Stddev    = 1.88e-03 s

Begin point on the trajectory:
  Lon =    -2.833935 +/- 0.0007 deg
  Lat =    51.899981 +/- 0.0004 deg
  Ht  = 105452.36 +/- 80.30 m
End point on the trajectory:
  Lon =    -2.861340 +/- 0.0007 deg
  Lat =    51.903588 +/- 0.0005 deg
  Ht  = 96247.44 +/- 63.97 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105452.36,    99297.55,          0.037979,     93.70,     28.08,              56.18, 0.6903,    True,    True, {"ff_name": "FF_UK0006_20211103_021411_737_0815104.fits"}
    UK003R,   False,    -2.379340,    51.361330,  169.00,   0.000000,   0.000000,   105428.89,    97539.24,          0.022553,     41.09,     25.79,              40.40, 0.4201,    True,    True, {"ff_name": "FF_UK003R_20211103_021412_792_0171520.fits"}
    UK0049,   False,    -1.967550,    52.349810,  132.00,   0.000000,   0.000000,   105089.23,    96247.44,          0.030916,     44.52,     51.61,              44.65, 0.4939,    True,    True, {"ff_name": "FF_UK0049_20211103_021412_650_0813056.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,     UK0006,       0,  0.004676, 2459521.593274317682,  14.99297,  34.23103,              271.64000,  44.34241,       271.62414,       44.34184,     14.99297,     +34.23103,      15.00154,      +34.22218,  1151348.65,  3839929.95,  5078968.47,      51.899981,       -2.833935,  105452.36,  149506.37,       0.00,               80.65,    49.58,      0.00,           51343.23,      8.53,     28.39,          40.89,  +5.33,  +4.46
  1,     UK0006,       0,  0.045180, 2459521.593274786137,  14.33125,  33.83448,              271.73850,  43.66940,       271.67097,       43.66695,     14.33125,     +33.83448,      14.36856,      +33.79656,  1151362.55,  3838529.65,  5077410.20,      51.900784,       -2.840044,  103400.92,  148360.02,    2095.05,             2175.70,    48.34,  51724.51,           51343.23,     36.34,    121.32,         176.08,  +2.27,  +1.41
  2,     UK0006,       0,  0.085672, 2459521.593275255058,  13.74144,  33.42768,              271.77744,  43.03234,       271.71419,       43.03005,     13.74144,     +33.42768,      13.77701,      +33.39196,  1151375.46,  3837228.05,  5075961.75,      51.901532,       -2.845738,  101494.07,  147313.84,    4042.44,             4123.10,   -99.94,  48093.28,           51343.23,     34.16,    114.01,         166.65,  +1.88,  +1.04
  3,     UK0006,       0,  0.126248, 2459521.593275724445,  13.06669,  32.94110,              271.80851,  42.28728,       271.76362,       42.28565,     13.06669,     +32.94110,      13.09256,      +32.91559,  1151390.34,  3835728.70,  5074293.26,      51.902392,       -2.852277,   99297.55,  146130.36,    6285.69,             6366.34,    43.28,  55285.01,           51343.23,     24.36,     81.23,         119.70,  +2.69,  +1.87
  0,     UK003R,       0,  0.000000, 2459521.593274278566,  13.03082,  73.12754,              332.51521,  56.72786,       332.46709,       56.73426,     13.03082,     +73.12754,      13.04183,      +73.10057,  1151348.81,  3839913.93,  5078950.64,      51.899990,       -2.833988,  105428.89,  125454.00,       0.00,              104.62,   315.58,      0.00,           48501.23,    -31.67,     50.34,          97.78,  +5.26,  +4.77
  1,     UK003R,       0,  0.040336, 2459521.593274745159,  11.26998,  73.00631,              332.20182,  56.23012,       332.23735,       56.22540,     11.26998,     +73.00631,      11.25975,      +73.02639,  1151360.21,  3838765.36,  5077672.50,      51.900649,       -2.839029,  103746.23,  124167.10,    1718.43,             1823.05,   -53.60,  42602.85,           48501.23,     23.39,    -37.28,          73.11,  +2.12,  +1.65
  2,     UK003R,       0,  0.080772, 2459521.593275213148,   9.11823,  72.89150,              331.92362,  55.60809,       331.96601,       55.60246,      9.11823,     +72.89150,       9.10309,      +72.91568,  1151373.84,  3837391.16,  5076143.27,      51.901438,       -2.845031,  101733.03,  122640.76,    3774.44,             3879.06,   -90.36,  50846.04,           48501.23,     27.97,    -44.61,          88.56,  +1.66,  +1.22
  3,     UK003R,       0,  0.121228, 2459521.593275681604,   6.92506,  72.75024,              331.64685,  54.96414,       331.69447,       54.95781,      6.92506,     +72.75024,       6.90465,      +72.77761,  1151387.60,  3836005.28,  5074601.05,      51.902233,       -2.851086,   99702.74,  121117.37,    5847.91,             5952.53,  -110.70,  51252.47,           48501.23,     31.50,    -50.26,         101.02,  +1.88,  +1.46
  4,     UK003R,       0,  0.161740, 2459521.593276150525,   4.54320,  72.59953,              331.40689,  54.25250,       331.40789,       54.25236,      4.54320,     +72.59953,       4.54330,      +72.60011,  1151402.25,  3834528.47,  5072957.63,      51.903082,       -2.857532,   97539.24,  119512.10,    8057.44,             8162.06,     2.12,  54540.10,           50065.38,      0.67,     -1.06,           2.16,  +3.37,  +2.98
  0,     UK0049,       0,  0.009236, 2459521.593274438754,  43.86389,  23.33549,              230.23414,  52.92261,       230.23729,       52.92306,     43.86389,     +23.33549,      43.86236,      +23.33685,  1151351.11,  3839682.08,  5078692.64,      51.900123,       -2.835029,  105089.23,  130953.92,       0.00,              451.50,   184.43,      0.00,           48632.80,     -3.37,     -2.91,           7.02,  +4.34,  +3.75
  1,     UK0049,       0,  0.049560, 2459521.593274905346,  43.38179,  22.94039,              230.52866,  52.35631,       230.46572,       52.34728,     43.38179,     +22.94039,      43.41280,      +22.91297,  1151363.74,  3838408.86,  5077275.78,      51.900854,       -2.840600,  103223.95,  129603.17,    1904.93,             2356.43,     2.38,  47240.59,           48632.80,     67.55,     58.44,         142.15,  +1.86,  +1.30
  2,     UK0049,       0,  0.089996, 2459521.593275373336,  42.88957,  22.40781,              230.71982,  51.66632,       230.72707,       51.66736,     42.88957,     +22.40781,      42.88630,      +22.41100,  1151378.33,  3836938.70,  5075639.76,      51.901698,       -2.847010,  101070.18,  128060.25,    4104.50,             4556.00,   109.17,  54396.40,           48632.80,     -7.81,     -6.74,          16.61,  +1.63,  +1.09
  3,     UK0049,       0,  0.130324, 2459521.593275840394,  42.47114,  22.01090,              230.92798,  51.12712,       230.92988,       51.12740,     42.47114,     +22.01090,      42.47069,      +22.01175,  1151389.65,  3835798.09,  5074370.47,      51.902352,       -2.852024,   99399.19,  126877.82,    5811.03,             6262.53,  -271.49,  42316.09,           48632.80,     -2.05,     -1.77,           4.41,  +4.16,  +3.64
  4,     UK0049,       0,  0.170996, 2459521.593276311178,  41.71973,  21.19747,              231.21898,  50.07090,       231.30494,       50.08316,     41.71973,     +21.19747,      41.67627,      +21.23621,  1151411.01,  3833646.66,  5071976.34,      51.903588,       -2.861340,   96247.44,  124675.70,    9029.87,             9481.37,   842.36,  79141.51,           54341.42,    -93.17,    -80.25,         203.43,  +5.67,  +5.19

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.