Orbital Analysis for matched events on 20211103_033453.918_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 124.87° Bg 3.74° Vg 68.68km/s
mass 0.00361g, abs. mag 0.6
best visual mag 1.2
Path Details
------------
start -0.14° 52.46° 108.95km
end   -0.22° 52.49° 100.96km

Orbit Details
-------------
Semimajor axis 3.42A.U., eccentricity 0.72, inclination 173.31°, Period 6.33Y, LA Sun 220.64°, last Perihelion 2015-07-25

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: 2459521.649235173129
Time: 2021-11-03 03:34:53.918958 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK0041
 Convergence angle = 83.96018 deg
 R.A. = 128.06701  Dec = +22.09135 deg

Best intersection: Stations UK002F and UK0041 with Qconv = 83.96 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -427937.80 +/- 94.49 m
 Y =   3937864.26 +/- 22.88 m
 Z =   5120448.67 +/- 126.80 m
 Vx =   -39799.39 +/- 247.68 m/s
 Vy =    50277.68 +/- 1597.28 m/s
 Vz =    26973.67 +/- 1468.36 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.630762e+03, -4.571198e+02, -1.205445e+04, +8.056296e+04, +1.049701e+04, -1.184841e+05
-4.571198e+02, +5.318118e+02, +5.633083e+02, +1.455234e+03, +3.593193e+02, -1.961912e+03
-1.205445e+04, +5.633083e+02, +1.673509e+04, -1.061049e+05, -1.387065e+04, +1.664758e+05
+8.056296e+04, +1.455234e+03, -1.061049e+05, +8.800142e+05, +1.099849e+05, -1.349663e+06
+1.049701e+04, +3.593193e+02, -1.387065e+04, +1.099849e+05, +2.325768e+04, -1.488754e+05
-1.184841e+05, -1.961912e+03, +1.664758e+05, -1.349663e+06, -1.488754e+05, +2.228595e+06

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK0041: -0.001063 s

Reference point on the trajectory:
  Time: 2021-11-03 03:34:53.918958 UTC
  Lon     = +-0.142244 +/- 0.0014 deg
  Lat     = +52.458345 +/- 0.0006 deg
  Lat geo = +52.275378 +/- 0.0006 deg
  Ht      =  108928.02 +/- 109.49 m

  JD dynamic   = 2459521.650035914034 
  LST apparent = 96.2021403655 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 128.36484 +/- 0.7097 deg
  Dec       = +22.81411 +/- 0.9548 deg
  Azimuth   = 127.93401 +/- 1.6783 deg
  Elevation = +51.52868 +/- 0.4903 deg
  Vavg      =  63.22165 +/- 0.5420 km/s
  Vinit     =  69.56590 +/- 1.0406 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 128.58280 +/- 0.7097 deg
  Dec       = +22.76496 +/- 0.9548 deg
  Azimuth   = 127.70016 +/- 1.6783 deg
  Elevation = +51.38185 +/- 0.4903 deg
  Vavg      =  63.36383 +/- 0.5420 km/s
  Vinit     =  69.70809 +/- 1.0406 km/s
Radiant (geocentric, J2000):
  R.A.   = 128.19127 +/- 0.7074 deg
  Dec    = +22.67087 +/- 0.9675 deg
  Vg     =  68.67513 +/- 1.0538 km/s
  Vinf   =  69.56590 +/- 1.0406 km/s
  Zc     =  38.35907 +/- 0.4863 deg
  Zg     =  38.61590 +/- 0.4969 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 124.87107 +/- 0.4068 deg
  Bg     =  +3.73701 +/- 1.0928 deg
  Vh     =  39.10412 +/- 1.0906 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 119.77573 +/- 0.8095 deg
  Bh     =  +6.57291 +/- 1.8224 deg
  Vh_x   =  19.29171 +/- 0.9319 km/s
  Vh_y   = -33.71833 +/- 0.5241 km/s
  Vh_z   =  -4.47615 +/- 1.4019 km/s
Orbit:
  La Sun = 220.635773 +/- -0.0000 deg
  a      =   3.422013 +/- 10.4147 AU
  e      =   0.722212 +/- 0.0926
  i      = 173.308097 +/- 1.8305 deg
  peri   = 205.819707 +/- 3.3731 deg
  node   = 220.644889 +/- 0.0019 deg
  Pi     =  66.464596 +/- 3.3748 deg
  q      =   0.950595 +/- 0.0074 AU
  f      = 334.187702 +/- 3.3713 deg
  M      = 357.036195 +/- 1.4721 deg
  Q      =   5.893430 +/- 20.8248 AU
  n      =   0.155698 +/- 0.0670 deg/day
  T      =   6.330282 +/- 74.9195 years
  Last perihelion JD = 2457228.510025 (2015-07-25 00:14:26.178444) +/- 27366.4165 days
  Tj     =   0.406725 +/- 0.5389
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +8.645553e-03, +6.721582e-04, -1.429944e+03, -1.694716e-04, -3.104338e-01, -1.707758e-01
q   , +6.721582e-04, +5.740038e-05, -1.014719e+02, -1.344966e-05, -2.591978e-02, -1.312819e-02
Tp  , -1.429944e+03, -1.014719e+02, +6.430637e+08, +1.984131e+01, +4.770060e+04, +2.718082e+04
node, -1.694716e-04, -1.344966e-05, +1.984131e+01, +3.737829e-06, +6.210813e-03, +3.380118e-03
peri, -3.104338e-01, -2.591978e-02, +4.770060e+04, +6.210813e-03, +1.177016e+01, +6.082363e+00
i   , -1.707758e-01, -1.312819e-02, +2.718082e+04, +3.380118e-03, +6.082363e+00, +3.388756e+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. = 2.013e-05 s
  Stddev    = 4.49e-03 s

Begin point on the trajectory:
  Lon =    -0.142044 +/- 0.0014 deg
  Lat =    52.458250 +/- 0.0006 deg
  Ht  = 108950.02 +/- 111.48 m
End point on the trajectory:
  Lon =    -0.215311 +/- 0.0011 deg
  Lat =    52.492762 +/- 0.0006 deg
  Ht  = 100961.37 +/- 109.69 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,   108950.02,   100961.37,          0.015703,     19.75,     35.03,              47.70, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20211103_033450_508_0911104.fits"}
    UK0041,   False,     1.214343,    52.647541,   45.00,   1.658792,  33.937983,   107667.38,   101673.55,          0.045645,     92.31,     66.50,              70.80, 1.0000,    True,    True, {"ff_name": "FF_UK0041_20211103_033451_133_0947968.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, 2459521.649235173129, 174.51507,  56.88370,               50.77381,  46.09960,        50.75709,       46.11605,    174.51507,     +56.88370,     174.49896,      +56.90180,  -427953.87,  3937884.56,  5120459.56,      52.458250,       -0.142044,  108950.02,  149896.88,       0.00,               28.10,   505.91,      0.00,           66639.70,    -45.87,     25.83,          72.44,  +2.97,  +2.09
  1,     UK002F,       0,  0.040304, 2459521.649235639721, 175.62562,  57.17960,               49.97977,  45.71553,        49.96591,       45.72899,    175.62562,     +57.17960,     175.61286,      +57.19462,  -426607.25,  3936183.41,  5119546.90,      52.466205,       -0.158926,  107107.33,  148315.29,    2353.78,             2325.68,    -0.29,  58400.64,           66639.70,    -37.39,     21.06,          59.69,  +1.90,  +1.04
  2,     UK002F,       0,  0.080684, 2459521.649236106779, 177.07828,  57.56169,               48.95517,  45.22239,        48.95865,       45.21907,    177.07828,     +57.56169,     177.08172,      +57.55792,  -424904.63,  3934032.53,  5118392.97,      52.476266,       -0.180249,  104777.96,  146347.19,    5329.81,             5301.71,   166.67,  73700.61,           66639.70,      9.18,     -5.18,          14.85,  +1.59,  +0.76
  3,     UK002F,       0,  0.121060, 2459521.649236574303, 178.45046,  57.86537,               48.06472,  44.74000,        48.05675,       44.74748,    178.45046,     +57.86537,     178.44417,      +57.87403,  -423392.88,  3932122.77,  5117368.39,      52.485202,       -0.199222,  102710.14,  144628.10,    7972.21,             7944.12,     0.29,  65444.94,           66639.70,    -20.63,     11.63,          33.78,  +1.53,  +0.73
  4,     UK002F,       0,  0.161352, 2459521.649237040430, 179.62539,  58.15562,               47.27025,  44.35132,        47.28830,       44.33455,    179.62539,     +58.15562,     179.64086,      +58.13595,  -422114.16,  3930507.39,  5116501.75,      52.492762,       -0.215311,  100961.37,  143195.19,   10207.31,            10179.21,  -567.57,  55472.49,           64525.58,     46.06,    -26.01,          76.19,  +3.03,  +2.25
  0,     UK0041,       0,  0.022079, 2459521.649235335644,  48.02221,  30.43598,              258.16693,  47.91609,       258.11562,       47.89562,     48.02221,     +30.43598,      48.03484,      +30.39746,  -427016.55,  3936700.47,  5119824.30,      52.463787,       -0.153735,  107667.38,  144092.56,       0.00,             1610.25,   552.15,      0.00,           64916.97,     58.87,     81.64,         144.08,  +3.51,  +2.72
  1,     UK0041,       0,  0.062395, 2459521.649235802237,  47.25796,  30.19708,              258.63262,  47.28861,       258.64239,       47.29250,     47.25796,     +30.19708,      47.25572,      +30.20445,  -425959.44,  3935365.04,  5119107.85,      52.470032,       -0.167031,  106220.99,  143501.45,    1847.75,             3458.00,  -404.72,  45831.61,           64916.97,    -11.27,    -15.59,          27.65,  +3.99,  +3.21
  2,     UK0041,       0,  0.102835, 2459521.649236270692,  45.85112,  29.92784,              259.65138,  46.25507,       259.55028,       46.21519,     45.85112,     +29.92784,      45.87836,      +29.85077,  -424097.61,  3933013.04,  5117846.02,      52.481036,       -0.190344,  103674.04,  142507.13,    5102.06,             6712.32,    36.35,  80472.72,           64916.97,    117.01,    162.48,         289.81,  +1.21,  +0.44
  3,     UK0041,       0,  0.143295, 2459521.649236738682,  44.78420,  29.57224,              260.26458,  45.35965,       260.24735,       45.35289,     44.78420,     +29.57224,      44.78952,      +29.55900,  -422634.94,  3931165.27,  5116854.70,      52.489683,       -0.208716,  101673.55,  141775.34,    7658.69,             9268.94,  -221.66,  63188.94,           64916.97,     20.09,     27.82,          49.93,  +4.94,  +4.18

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.