Orbital Analysis for matched events on 20211111_183128.975_UK

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Summary for Event
-----------------
shower ID -1 spo (Sporadic)
Lg 37.80° Bg 33.76° Vg 21.13km/s
mass 0.03631g, abs. mag 1.0
best visual mag 1.1
Path Details
------------
start -0.50° 51.36° 80.95km
end   -0.55° 51.35° 76.12km

Orbit Details
-------------
Semimajor axis 4.11A.U., eccentricity 0.81, inclination 19.27°, Period 8.32Y, LA Sun 229.29°, last Perihelion 2013-08-22

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: 2459530.271863142028
Time: 2021-11-11 18:31:28.975471 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK002B
 Convergence angle = 22.72400 deg
 R.A. =  13.28090  Dec = +41.45826 deg

Best intersection: Stations UK000S and UK002B with Qconv = 22.72 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3445444.97 +/- 157.72 m
 Y =  -2112350.35 +/- 209.78 m
 Z =   5021959.05 +/- 394.11 m
 Vx =    15601.30 +/- 2814.98 m/s
 Vy =     5157.90 +/- 1522.26 m/s
 Vz =    17320.51 +/- 2898.30 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.699515e+04, +3.454826e+04, +6.504857e+04, +1.159041e+05, +1.752782e+05, +3.352519e+05
+3.454826e+04, +4.738747e+04, +8.792076e+04, +1.618479e+05, +2.439287e+05, +4.667469e+05
+6.504857e+04, +8.792076e+04, +1.669073e+05, +3.128648e+05, +4.759090e+05, +9.319216e+05
+1.159041e+05, +1.618479e+05, +3.128648e+05, +6.964440e+05, +1.078024e+06, +2.154970e+06
+1.752782e+05, +2.439287e+05, +4.759090e+05, +1.078024e+06, +1.680829e+06, +3.391311e+06
+3.352519e+05, +4.667469e+05, +9.319216e+05, +2.154970e+06, +3.391311e+06, +7.019311e+06

Timing offsets (from input data):
    UK000S: -0.001558 s
    UK002B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-11 18:31:28.975471 UTC
  Lon     = +-0.501279 +/- 0.0037 deg
  Lat     = +51.360083 +/- 0.0020 deg
  Lat geo = +51.174605 +/- 0.0021 deg
  Ht      =   80997.58 +/- 322.25 m

  JD dynamic   = 2459530.272663882934 
  LST apparent = 328.4881664563 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  18.29425 +/- 3.9130 deg
  Dec       = +46.50824 +/- 3.4998 deg
  Azimuth   =  78.59434 +/- 8.5252 deg
  Elevation = +57.56642 +/- 0.7960 deg
  Vavg      =  23.52442 +/- 2.4948 km/s
  Vinit     =  23.87477 +/- 2.4793 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  18.94845 +/- 3.9130 deg
  Dec       = +46.11697 +/- 3.4998 deg
  Azimuth   =  78.84936 +/- 8.5252 deg
  Elevation = +56.98482 +/- 0.7960 deg
  Vavg      =  23.68066 +/- 2.4948 km/s
  Vinit     =  24.03101 +/- 2.4793 km/s
Radiant (geocentric, J2000):
  R.A.   =  20.56634 +/- 3.3680 deg
  Dec    = +45.44380 +/- 4.2303 deg
  Vg     =  21.12670 +/- 2.9798 km/s
  Vinf   =  23.87477 +/- 2.4793 km/s
  Zc     =  32.47071 +/- 0.8108 deg
  Zg     =  34.50819 +/- 0.8224 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  37.80103 +/- 4.7841 deg
  Bg     = +33.76155 +/- 2.7203 deg
  Vh     =  39.70111 +/- 0.9839 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 346.98225 +/- 3.7764 deg
  Bh     = +17.20237 +/- 2.9457 deg
  Vh_x   = -36.95046 +/- 1.2642 km/s
  Vh_y   =   8.54275 +/- 2.1740 km/s
  Vh_z   = -11.74151 +/- 2.1377 km/s
Orbit:
  La Sun = 229.290811 +/- -0.0000 deg
  a      =   4.106106 +/- 0.7876 AU
  e      =   0.812101 +/- 0.0831
  i      =  19.272028 +/- 3.5338 deg
  peri   = 239.492784 +/- 4.4880 deg
  node   = 229.289935 +/- 0.0000 deg
  Pi     = 108.782719 +/- 4.4880 deg
  q      =   0.771533 +/- 0.0370 AU
  f      = 300.507093 +/- 4.4880 deg
  M      = 355.710190 +/- 2.4337 deg
  Q      =   7.440679 +/- 1.6108 AU
  n      =   0.118457 +/- 0.0747 deg/day
  T      =   8.320432 +/- 2.1320 years
  Last perihelion JD = 2456527.396043 (2013-08-22 21:30:18.114419) +/- 778.0411 days
  Tj     =   2.245974 +/- 0.4571
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +7.450642e-03, -3.318414e-03, -6.556007e+01, -4.231789e-06, +4.014546e-01, +3.143492e-01
q   , -3.318414e-03, +1.479723e-03, +2.911639e+01, +1.895077e-06, -1.792303e-01, -1.404826e-01
Tp  , -6.556007e+01, +2.911639e+01, +6.445970e+05, +3.444664e-02, -3.437050e+03, -2.749029e+03
node, -4.231789e-06, +1.895077e-06, +3.444664e-02, +2.588796e-09, -2.337742e-04, -1.823319e-04
peri, +4.014546e-01, -1.792303e-01, -3.437050e+03, -2.337742e-04, +2.184813e+01, +1.702504e+01
i   , +3.143492e-01, -1.404826e-01, -2.749029e+03, -1.823319e-04, +1.702504e+01, +1.352312e+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. = 8.263e-06 s
  Stddev    = 2.87e-03 s

Begin point on the trajectory:
  Lon =    -0.501699 +/- 0.0035 deg
  Lat =    51.360029 +/- 0.0020 deg
  Ht  = 80949.99 +/- 306.63 m
End point on the trajectory:
  Lon =    -0.545381 +/- 0.0027 deg
  Lat =    51.354631 +/- 0.0019 deg
  Ht  = 76120.87 +/- 278.09 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    80425.39,    77273.17,          0.036207,     36.93,     73.64,              28.91, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20211111_183125_554_0135168.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,    80949.99,    76120.87,          0.024255,     37.34,     31.72,              31.13, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20211111_183121_566_0138240.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,     UK000S,       0,  0.021885, 2459530.271863317117,  53.53787,  47.39856,               57.45940,  36.74565,        57.41901,       36.76224,     53.53787,     +47.39856,      53.54815,      +47.43426,  3445001.97, -2112496.81,  5021467.23,      51.359444,       -0.506396,   80425.39,  132872.80,       0.00,              677.94,    82.49,      0.00,           23592.59,     75.49,    -37.63,         130.94,  +2.46,  +1.84
  1,     UK000S,       0,  0.062029, 2459530.271863781847,  53.78051,  47.42595,               57.30590,  36.63358,        57.32617,       36.62522,     53.78051,     +47.42595,      53.77549,      +47.40800,  3444417.44, -2112690.05,  5020818.29,      51.358602,       -0.513232,   79670.45,  132047.30,     894.50,             1572.43,    18.56,  22282.17,           23592.59,    -37.70,     18.87,          65.85,  +2.18,  +1.58
  2,     UK000S,       0,  0.102165, 2459530.271864246111,  54.00899,  47.36246,               57.24851,  36.47287,        57.22900,       36.48089,     54.00899,     +47.36246,      54.01442,      +47.37973,  3443810.32, -2112890.77,  5020144.27,      51.357726,       -0.520328,   78886.34,  131191.24,    1823.58,             2501.51,   -10.60,  23148.35,           23592.59,     36.08,    -18.02,          63.41,  +1.42,  +0.83
  3,     UK000S,       0,  0.142329, 2459530.271864711307,  54.28303,  47.35529,               57.11206,  36.32303,        57.12120,       36.31927,     54.28303,     +47.35529,      54.28111,      +47.34718,  3443141.22, -2113111.98,  5019401.43,      51.356759,       -0.528132,   78022.21,  130249.84,    2847.52,             3525.45,    54.43,  25493.95,           23592.59,    -16.82,      8.42,          29.78,  +1.13,  +0.56
  4,     UK000S,       0,  0.182477, 2459530.271865176037,  54.53418,  47.38446,               56.95228,  36.20820,        57.02641,       36.17754,     54.53418,     +47.38446,      54.51510,      +47.31858,  3442561.22, -2113303.73,  5018757.52,      51.355921,       -0.534921,   77273.17,  129433.84,    3735.09,             4413.02,   -16.52,  22107.45,           23470.95,   -135.68,     68.21,         242.00,  +1.56,  +1.00
  0,     UK002B,       0,  0.000000, 2459530.271863142028,  54.87635,  58.86521,               44.71589,  42.77446,        44.69286,       42.79086,     54.87635,     +58.86521,      54.86570,      +58.88813,  3445408.12, -2112362.53,  5021918.14,      51.360029,       -0.501699,   80949.99,  118271.52,       0.00,               56.39,   -16.56,      0.00,           23424.29,     31.57,    -36.99,          84.81,  +4.71,  +4.35
  1,     UK002B,       0,  0.040072, 2459530.271863605827,  55.29173,  58.96259,               44.45262,  42.64010,        44.46921,       42.62829,     55.29173,     +58.96259,      55.29933,      +58.94606,  3444677.77, -2112603.99,  5021107.31,      51.358977,       -0.510198,   80006.68,  117252.96,    1117.66,             1174.05,   144.39,  27891.38,           23424.29,    -22.51,     26.47,          61.13,  +2.86,  +2.51
  2,     UK002B,       0,  0.080136, 2459530.271864069626,  55.57619,  59.00620,               44.29942,  42.53683,        44.32047,       42.52187,     55.57619,     +59.00620,      55.58583,      +58.98519,  3444203.16, -2112760.90,  5020580.40,      51.358292,       -0.515781,   79393.70,  116589.97,    1843.96,             1900.35,   -85.83,  18128.43,           23424.29,    -28.40,     33.42,          77.58,  +2.27,  +1.94
  3,     UK002B,       0,  0.120220, 2459530.271864533424,  55.98777,  59.07558,               44.07055,  42.39145,        44.10728,       42.36536,     55.98777,     +59.07558,      56.00422,      +59.03885,  3443521.72, -2112986.19,  5019823.86,      51.357309,       -0.523725,   78513.61,  115642.15,    2886.78,             2943.17,    -0.00,  26015.82,           23424.29,    -49.15,     57.93,         135.50,  +1.80,  +1.48
  4,     UK002B,       0,  0.160324, 2459530.271864997689,  56.40043,  59.11175,               43.87970,  42.22923,        43.90169,       42.21366,     56.40043,     +59.11175,      56.41035,      +59.08973,  3442872.67, -2113200.77,  5019103.29,      51.356372,       -0.531301,   77675.39,  114740.72,    3880.02,             3936.41,    35.77,  24766.68,           23775.70,    -29.21,     34.39,          81.11,  +1.81,  +1.51
  5,     UK002B,       0,  0.200408, 2459530.271865461487,  56.78114,  59.16578,               43.67975,  42.09107,        43.70859,       42.07067,     56.78114,     +59.16578,      56.79386,      +59.13685,  3442270.68, -2113399.79,  5018434.96,      51.355501,       -0.538341,   76897.96,  113905.67,    4801.25,             4857.64,    -0.00,  22982.51,           23762.72,    -38.03,     44.83,         106.45,  +2.00,  +1.72
  6,     UK002B,       0,  0.240520, 2459530.271865925752,  57.18433,  59.18016,               43.51692,  41.92298,        43.51360,       41.92531,     57.18433,     +59.18016,      57.18394,      +59.18349,  3441668.93, -2113598.73,  5017766.90,      51.354631,       -0.545381,   76120.87,  113072.37,    5722.12,             5778.50,   -36.80,  22957.30,           23671.72,      4.34,     -5.11,          12.23,  +4.19,  +3.92

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.