Orbital Analysis for matched events on 20211103_035054.753_UK

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Summary for Event
-----------------
shower ID 13 LEO
Lg 138.97° Bg 12.16° Vg 69.82km/s
mass 0.00633g, abs. mag 0.0
best visual mag 1.4
Path Details
------------
start 2.30° 52.58° 112.52km
end   2.18° 52.61° 101.98km

Orbit Details
-------------
Semimajor axis 11.63A.U., eccentricity 0.92, inclination 158.58°, Period 39.65Y, LA Sun 220.65°, last Perihelion 2021-10-15

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: 2459521.660355945583
Time: 2021-11-03 03:50:54.776953 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0032 and UK003W
 Convergence angle = 76.65591 deg
 R.A. = 146.19987  Dec = +26.60735 deg

Best intersection: Stations UK0032 and UK003W with Qconv = 76.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -865825.18 +/- 212.44 m
 Y =   3855970.59 +/- 109.68 m
 Z =   5131516.02 +/- 117.52 m
 Vx =   -52162.72 +/- 241.55 m/s
 Vy =    35550.98 +/- 654.43 m/s
 Vz =    31829.58 +/- 452.63 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK0032: 0.000000 s
    UK003W: -0.001681 s

Reference point on the trajectory:
  Time: 2021-11-03 03:50:54.776953 UTC
  Lon     = ++2.296453 +/- 0.0027 deg
  Lat     = +52.581385 +/- 0.0005 deg
  Lat geo = +52.398719 +/- 0.0005 deg
  Ht      =  112196.40 +/- 183.10 m

  JD dynamic   = 2459521.661156955641 
  LST apparent = 102.6553733586 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 145.72400 +/- 0.3592 deg
  Dec       = +26.75849 +/- 0.1651 deg
  Azimuth   = 111.84980 +/- 0.4589 deg
  Elevation = +48.93315 +/- 0.1919 deg
  Vavg      =  69.65624 +/- 0.6954 km/s
  Vinit     =  70.69614 +/- 0.6015 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 145.91450 +/- 0.3592 deg
  Dec       = +26.68674 +/- 0.1651 deg
  Azimuth   = 111.71824 +/- 0.4589 deg
  Elevation = +48.77004 +/- 0.1919 deg
  Vavg      =  69.83233 +/- 0.6954 km/s
  Vinit     =  70.87223 +/- 0.6015 km/s
Radiant (geocentric, J2000):
  R.A.   = 145.59953 +/- 0.3584 deg
  Dec    = +26.65259 +/- 0.1676 deg
  Vg     =  69.82023 +/- 0.6088 km/s
  Vinf   =  70.69614 +/- 0.6015 km/s
  Zc     =  40.99916 +/- 0.1927 deg
  Zg     =  41.26622 +/- 0.1916 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 138.97077 +/- 0.2900 deg
  Bg     = +12.16499 +/- 0.2242 deg
  Vh     =  41.37743 +/- 0.6564 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 144.78284 +/- 0.4412 deg
  Bh     = +20.82927 +/- 0.2850 deg
  Vh_x   =  31.59491 +/- 0.6116 km/s
  Vh_y   = -22.30193 +/- 0.2379 km/s
  Vh_z   = -14.71317 +/- 0.3796 km/s
Orbit:
  La Sun = 220.646913 +/- 0.0000 deg
  a      =  11.628133 +/- 5.8503 AU
  e      =   0.919321 +/- 0.0593
  i      = 158.578823 +/- 0.3108 deg
  peri   = 152.433943 +/- 0.6077 deg
  node   = 220.650922 +/- 0.0000 deg
  Pi     =  13.084865 +/- 0.6077 deg
  q      =   0.938146 +/- 0.0023 AU
  f      =  27.568379 +/- 0.6077 deg
  M      =   0.473539 +/- nan deg
  Q      =  22.318120 +/- 11.7015 AU
  n      =   0.024856 +/- 0.0177 deg/day
  T      =  39.652048 +/- nan years
  Last perihelion JD = 2459502.610209 (2021-10-15 02:38:42.039440) +/- 0.0000 days
  Tj     =  -0.647588 +/- 0.3442
Shower association:
  IAU No.  =   13
  IAU code =  LEO

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +nan, +nan, +nan, +nan, +nan, +nan
q   , +nan, +nan, +nan, +nan, +nan, +nan
Tp  , +nan, +nan, +nan, +nan, +nan, +nan
node, +nan, +nan, +nan, +nan, +nan, +nan
peri, +nan, +nan, +nan, +nan, +nan, +nan
i   , +nan, +nan, +nan, +nan, +nan, +nan

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: UK0032
  Avg. res. = 4.246e-05 s
  Stddev    = 6.52e-03 s

Begin point on the trajectory:
  Lon =     2.300289 +/- 0.0018 deg
  Lat =    52.580448 +/- 0.0003 deg
  Ht  = 112523.59 +/- 90.07 m
End point on the trajectory:
  Lon =     2.175435 +/- 0.0018 deg
  Lat =    52.610658 +/- 0.0004 deg
  Ht  = 101975.48 +/- 86.22 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
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.008250,  57.344792,   112523.59,   101975.48,          0.017499,     49.48,     31.49,              13.73, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20211103_035055_509_0971520.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,   0.000000,   0.000000,   111520.73,   103046.82,          0.008294,     10.03,     30.12,              49.07, 1.0000,    True,    True, {"ff_name": "FF_UK003W_20211103_035052_661_0967936.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,     UK0032,       0,  0.000000, 2459521.660356214736, 158.15744,  18.19686,              105.03332,  33.63688,       105.05720,       33.63217,    158.15744,     +18.19686,     158.14396,      +18.18097,  -866145.38,  3856188.82,  5131711.40,      52.580448,       +2.300289,  112523.59,  199323.72,       0.00,              433.96,   245.98,      0.00,           79598.87,     38.30,     59.87,          73.55,  +3.24,  +1.74
  1,     UK0032,       0,  0.040196, 2459521.660356679931, 158.32159,  18.02893,              105.00852,  33.40860,       104.99553,       33.41114,    158.32159,     +18.02893,     158.32919,      +18.03757,  -863804.65,  3854593.52,  5130283.09,      52.587298,       +2.272066,  110132.00,  196242.27,    3172.38,             2738.42,  -291.26,  78922.90,           79598.87,    -20.48,    -32.18,          40.09,  +2.05,  +0.59
  2,     UK0032,       0,  0.080404, 2459521.660357145127, 158.52183,  17.88157,              104.93596,  33.17553,       104.93043,       33.17661,    158.52183,     +17.88157,     158.52536,      +17.88526,  -861399.80,  3852954.51,  5128815.66,      52.594333,       +2.243044,  107675.56,  193079.95,    6431.69,             5997.72,   125.49,  81061.00,           79598.87,     -8.61,    -13.51,          17.11,  +1.80,  +0.37
  3,     UK0032,       0,  0.120608, 2459521.660357610788, 158.70107,  17.71094,              104.89916,  32.93617,       104.86586,       32.94264,    158.70107,     +17.71094,     158.72069,      +17.73313,  -859076.34,  3851370.99,  5127397.89,      52.601128,       +2.214969,  105302.93,  190027.69,    9580.66,             9146.70,   432.20,  78324.95,           79598.87,    -50.99,    -80.31,         103.26,  +2.96,  +1.57
  4,     UK0032,       0,  0.160760, 2459521.660358075518, 158.84839,  17.60712,              104.84229,  32.76824,       104.81938,       32.77270,    158.84839,     +17.60712,     158.86225,      +17.62242,  -857429.24,  3850248.42,  5126392.83,      52.605944,       +2.195001,  103621.34,  187863.35,   11812.98,            11379.02,  -174.08,  55596.66,           74725.89,    -34.79,    -54.73,          71.20,  +4.18,  +2.81
  5,     UK0032,       0,  0.200908, 2459521.660358540248, 158.99781,  17.50551,              104.78193,  32.60079,       104.77302,       32.60253,    158.99781,     +17.50551,     159.00381,      +17.51147,  -855816.83,  3849149.50,  5125408.94,      52.610658,       +2.175435,  101975.48,  185746.12,   13998.28,            13564.32,  -827.09,  54431.12,           70436.91,    -13.42,    -21.07,          27.74,  +4.82,  +3.48
  0,     UK003W,       0,  0.005353, 2459521.660356108565, 204.49461,  48.03146,               47.73270,  28.72586,        47.73344,       28.72510,    204.49461,     +48.03146,     204.49469,      +48.03046,  -865163.92,  3855519.92,  5131112.52,      52.583320,       +2.288568,  111520.73,  225627.26,       0.00,              896.20,   329.80,      0.00,           65168.92,      3.74,     -1.24,           3.60,  +2.43,  +0.66
  1,     UK003W,       0,  0.045693, 2459521.660356575623, 205.23298,  48.05162,               47.30890,  28.40094,        47.30412,       28.40585,    205.23298,     +48.05162,     205.23270,      +48.05808,  -863303.12,  3854251.70,  5129977.06,      52.588765,       +2.266089,  109619.65,  224003.00,    2521.95,             3418.15,    -0.13,  62517.41,           65168.92,    -23.98,      7.97,          23.27,  +1.79,  +0.04
  2,     UK003W,       0,  0.086065, 2459521.660357042681, 206.08081,  48.08289,               46.81506,  28.03678,        46.81448,       28.03737,    206.08081,     +48.08289,     206.08110,      +48.08367,  -861198.39,  3852817.25,  5128692.76,      52.594922,       +2.240663,  107469.87,  222187.20,    5374.49,             6270.69,    -1.74,  70656.37,           65168.92,     -2.86,      0.95,           2.79,  +1.38,  -0.35
  3,     UK003W,       0,  0.126397, 2459521.660357509740, 206.81821,  48.09819,               46.39389,  27.71393,        46.39170,       27.71615,    206.81821,     +48.09819,     206.81860,      +48.10114,  -859398.11,  3851590.28,  5127594.23,      52.600187,       +2.218872,  105631.46,  220650.51,    7814.41,             8710.61,  -413.13,  60495.94,           65168.92,    -10.78,      3.59,          10.62,  +3.58,  +1.86
  4,     UK003W,       0,  0.166841, 2459521.660357977729, 207.87231,  48.13411,               45.77973,  27.26703,        45.79241,       27.25419,    207.87231,     +48.13411,     207.87331,      +48.11703,  -856866.42,  3849864.84,  5126049.40,      52.607590,       +2.188267,  103046.82,  218520.64,   11245.61,            12141.81,   158.82,  84838.13,           68827.76,     61.82,    -20.59,          61.50,  +6.22,  +4.52

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.