Orbital Analysis for matched events on 20210929_042209.624_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 92.52° Bg -27.53° Vg 66.06km/s
mass 0.01722g, abs. mag -0.5
Path Details
------------
start -6.50° 51.17° 109.50km
end   -6.60° 51.28° 101.12km

Orbit Details
-------------
Semimajor axis -259.93A.U., eccentricity 1.00, inclination 133.28°, Period 1000000000.00Y, LA Sun 185.95°, 

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: 2459486.682055840734
Time: 2021-09-29 04:22:09.624639 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK0024
 Convergence angle = 6.97617 deg
 R.A. =  93.45512  Dec =  -4.23159 deg

Best intersection: Stations UK0020 and UK0024 with Qconv = 6.98 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1579851.51 +/- 711.98 m
 Y =   3756952.40 +/- 181.38 m
 Z =   5031093.83 +/- 387.21 m
 Vx =    -2764.36 +/- 3875.17 m/s
 Vy =    66790.87 +/- 1104.52 m/s
 Vz =    -4309.29 +/- 1982.37 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.288073e+05, -1.009390e+05, +2.315488e+05, +1.557071e+06, -2.120142e+05, +8.527619e+05
-1.009390e+05, +2.673197e+04, -5.430454e+04, -3.373590e+05, +4.837312e+04, -1.844943e+05
+2.315488e+05, -5.430454e+04, +1.281198e+05, +8.353048e+05, -1.081242e+05, +4.743046e+05
+1.557071e+06, -3.373590e+05, +8.353048e+05, +9.272019e+06, -1.522322e+06, +4.956403e+06
-2.120142e+05, +4.837312e+04, -1.081242e+05, -1.522322e+06, +4.923902e+05, -7.860188e+05
+8.527619e+05, -1.844943e+05, +4.743046e+05, +4.956403e+06, -7.860188e+05, +2.795790e+06

Timing offsets (from input data):
    UK0020: 0.000000 s
    UK0024: 0.000923 s

Reference point on the trajectory:
  Time: 2021-09-29 04:22:09.624639 UTC
  Lon     = +-6.502195 +/- 0.0102 deg
  Lat     = +51.174514 +/- 0.0014 deg
  Lat geo = +50.989591 +/- 0.0014 deg
  Ht      =  109506.03 +/- 374.90 m

  JD dynamic   = 2459486.682856581639 
  LST apparent = 67.1925593526 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  92.37002 +/- 3.3598 deg
  Dec       =  -3.68841 +/- 1.7468 deg
  Azimuth   = 150.28722 +/- 3.2446 deg
  Elevation = +31.07062 +/- 2.6180 deg
  Vavg      =  64.72247 +/- 1.0757 km/s
  Vinit     =  66.98680 +/- 0.8792 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  92.60011 +/- 3.3598 deg
  Dec       =  -3.68143 +/- 1.7468 deg
  Azimuth   = 150.03012 +/- 3.2446 deg
  Elevation = +31.00547 +/- 2.6180 deg
  Vavg      =  64.84918 +/- 1.0757 km/s
  Vinit     =  67.11352 +/- 0.8792 km/s
Radiant (geocentric, J2000):
  R.A.   =  92.24103 +/- 3.3819 deg
  Dec    =  -4.10961 +/- 1.7498 deg
  Vg     =  66.06142 +/- 0.8916 km/s
  Vinf   =  66.98680 +/- 0.8792 km/s
  Zc     =  58.76881 +/- 2.6226 deg
  Zg     =  59.21762 +/- 2.6373 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  92.52081 +/- 3.7695 deg
  Bg     = -27.52769 +/- 1.7584 deg
  Vh     =  42.12469 +/- 1.0773 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  88.05075 +/- 7.3781 deg
  Bh     = -46.44796 +/- 2.8032 deg
  Vh_x   =  -0.98724 +/- 3.8502 km/s
  Vh_y   = -29.00767 +/- 0.5934 km/s
  Vh_z   =  30.52982 +/- 2.1276 km/s
Orbit:
  La Sun = 185.954913 +/- 0.0000 deg
  a      = -259.927125 +/- 82.0314 AU
  e      =   1.003820 +/- 0.0971
  i      = 133.278809 +/- 1.9598 deg
  peri   =  10.855879 +/- 12.3784 deg
  node   =   5.957486 +/- 0.0000 deg
  Pi     =  16.813365 +/- 12.3785 deg
  q      =   0.992815 +/- 0.0391 AU
  f      = 349.144952 +/- 12.3784 deg
  M      =        nan +/- nan deg
  Q      = -520.847066 +/- 164.0647 AU
  n      =   0.000235 +/- 0.0281 deg/day
  T      = 1000000000.000000 +/- 427919643.3744 years
  Last perihelion JD = NaN 
  Tj     =  -0.867742 +/- 0.5412
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.890001e-03, +1.755079e-03, -6.155283e+03, -2.389742e-08, -7.886921e-03, -1.091027e-03
q   , +1.755079e-03, +1.626176e-03, -2.913764e+03, -2.362775e-08, -7.256762e-03, -1.093810e-03
Tp  , -6.155283e+03, -2.913764e+03, +3.085505e+10, +4.123626e-02, +1.455607e+04, +1.910680e+03
node, -2.389742e-08, -2.362775e-08, +4.123626e-02, +4.040272e-13, +1.091980e-07, +1.894643e-08
peri, -7.886921e-03, -7.256762e-03, +1.455607e+04, +1.091980e-07, +3.310376e-02, +5.084277e-03
i   , -1.091027e-03, -1.093810e-03, +1.910680e+03, +1.894643e-08, +5.084277e-03, +8.899583e-04

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: UK0020
  Avg. res. = 1.205e-05 s
  Stddev    = 3.47e-03 s

Begin point on the trajectory:
  Lon =    -6.502212 +/- 0.0102 deg
  Lat =    51.174533 +/- 0.0014 deg
  Ht  = 109504.53 +/- 372.10 m
End point on the trajectory:
  Lon =    -6.600723 +/- 0.0095 deg
  Lat =    51.281596 +/- 0.0013 deg
  Ht  = 101121.58 +/- 324.35 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
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   109504.53,   102785.11,          0.024859,     92.13,     53.36,             104.81, 1.0000,    True,   False, {"ff_name": "FF_UK0020_20210929_042159_628_0883968.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   109213.62,   101121.58,          0.034746,    135.33,    101.50,             102.74, 1.0000,    True,   False, {"ff_name": "FF_UK0024_20210929_042203_727_0889856.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,     UK0020,       0,  0.000000, 2459486.682055840734, 345.94671,  29.12406,              285.46069,  25.60728,       285.49954,       25.63752,    345.94671,     +29.12406,     345.94224,      +29.17017,  1579851.63,  3756949.50,  5031094.02,      51.174533,       -6.502212,  109504.53,  244417.81,       0.00,                2.91,   423.46,      0.00,           65307.67,    -98.96,   -170.82,         166.60,  +3.06,  +1.12
  1,     UK0020,       0,  0.040412, 2459486.682056308258, 345.37167,  29.11206,              285.84962,  25.24791,       285.86066,       25.25649,    345.37167,     +29.11206,     345.37049,      +29.12516,  1579943.67,  3754725.58,  5031237.50,      51.189197,       -6.515699,  108353.69,  245057.13,    2230.45,             2233.36,   -53.15,  55192.82,           65307.67,    -28.19,    -48.72,          47.38,  +2.81,  +0.86
  2,     UK0020,       0,  0.080964, 2459486.682056777645, 344.61035,  29.05734,              286.33432,  24.74526,       286.33819,       24.74825,    344.61035,     +29.05734,     344.61018,      +29.06193,  1580066.98,  3751746.31,  5031429.72,      51.208848,       -6.533732,  106812.84,  245939.33,    5218.45,             5221.36,   218.40,  73683.23,           65307.67,     -9.93,    -17.17,          16.63,  +1.31,  -0.64
  3,     UK0020,       0,  0.121444, 2459486.682057246566, 343.95738,  28.97056,              286.71966,  24.28626,       286.74753,       24.30779,    343.95738,     +28.97056,     343.95403,      +29.00369,  1580174.24,  3749154.66,  5031596.93,      51.225947,       -6.549459,  105473.26,  246735.04,    7817.71,             7820.62,   106.03,  64210.85,           65307.67,    -71.86,   -124.09,         119.87,  +0.85,  -1.11
  4,     UK0020,       0,  0.161892, 2459486.682057714555, 343.33371,  28.93029,              287.12027,  23.87923,       287.13303,       23.88906,    343.33371,     +28.93029,     343.33253,      +28.94545,  1580276.61,  3746681.35,  5031756.51,      51.242271,       -6.564492,  104195.55,  247518.03,   10298.27,            10301.18,  -122.89,  61327.26,           64681.98,    -33.01,    -57.04,          54.92,  +0.69,  -1.28
  5,     UK0020,       0,  0.202384, 2459486.682058183011, 342.65140,  28.87296,              287.54858,  23.42518,       287.55318,       23.42870,    342.65140,     +28.87296,     342.65154,      +28.87842,  1580389.67,  3743949.56,  5031932.76,      51.260305,       -6.581098,  102785.11,  248407.78,   13038.08,            13040.99,   -95.51,  67662.93,           64929.08,    -11.94,    -20.63,          19.79,  +0.89,  -1.09
  0,     UK0024,       0,  0.009648, 2459486.682055941783, 348.52848,  22.62638,              279.05648,  22.16914,       279.02052,       22.13509,    348.52848,     +22.62638,     348.53024,      +22.57877,  1579874.89,  3756387.43,  5031130.28,      51.178239,       -6.505613,  109213.62,  276269.90,       0.00,              566.63,   340.90,      0.00,           61845.79,    137.81,    183.74,         171.48,  +3.92,  +1.71
  1,     UK0024,       0,  0.049960, 2459486.682056408376, 347.93300,  22.56382,              279.44859,  21.75211,       279.44450,       21.74824,    347.93300,     +22.56382,     347.93342,      +22.55840,  1579988.29,  3753647.54,  5031307.06,      51.196307,       -6.522196,  107796.02,  276967.13,    2747.93,             3314.56,   388.46,  68166.56,           61845.79,     15.74,     20.95,          19.52,  +3.15,  +0.94
  2,     UK0024,       0,  0.090180, 2459486.682056873571, 347.43677,  22.56949,              279.81693,  21.44761,       279.79441,       21.42638,    347.43677,     +22.56949,     347.43846,      +22.53968,  1580082.79,  3751364.15,  5031454.38,      51.211369,       -6.536059,  106615.26,  277569.48,    5038.02,             5604.65,   -15.66,  56938.97,           61845.79,     86.77,    115.60,         107.41,  +1.88,  -0.34
  3,     UK0024,       0,  0.130440, 2459486.682057339698, 346.89973,  22.53704,              280.18723,  21.08989,       280.17263,       21.07616,    346.89973,     +22.53704,     346.90120,      +22.51772,  1580185.88,  3748873.34,  5031615.08,      51.227804,       -6.551183,  105327.89,  278245.67,    7536.14,             8102.77,  -214.43,  62049.69,           61845.79,     56.38,     75.08,          69.61,  +1.73,  -0.49
  4,     UK0024,       0,  0.170740, 2459486.682057806291, 346.27372,  22.49893,              280.61827,  20.67315,       280.61154,       20.66684,    346.27372,     +22.49893,     346.27490,      +22.49002,  1580306.76,  3745952.84,  5031803.51,      51.247080,       -6.568907,  103819.33,  279063.12,   10465.20,            11031.83,    15.07,  72681.53,           63871.95,     26.09,     34.72,          32.10,  +1.44,  -0.79
  5,     UK0024,       0,  0.210968, 2459486.682058271952, 345.77091,  22.48507,              280.97620,  20.35122,       280.96169,       20.33765,    345.77091,     +22.48507,     345.77286,      +22.46588,  1580404.20,  3743598.49,  5031955.41,      51.262623,       -6.583244,  102603.90,  279744.85,   12826.45,            13393.08,  -318.43,  58696.67,           63711.94,     56.32,     74.99,          69.15,  +1.46,  -0.77
  6,     UK0024,       0,  0.251224, 2459486.682058737613, 345.15878,  22.50124,              281.43506,  19.98435,       281.38473,       19.93742,    345.15878,     +22.50124,     345.16387,      +22.43471,  1580523.11,  3740725.51,  5032140.77,      51.281596,       -6.600723,  101121.58,  280599.13,   15707.86,            16274.49,  -133.64,  71577.13,           64497.31,    195.74,    261.11,         239.88,  +1.61,  -0.63

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.