Orbital Analysis for matched events on 20211103_020620.394_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 137.31° Bg 28.18° Vg 65.95km/s
mass 0.00380g, abs. mag 1.3
best visual mag 1.7
Path Details
------------
start 1.46° 50.74° 111.63km
end   1.32° 50.70° 102.50km

Orbit Details
-------------
Semimajor axis 84.30A.U., eccentricity 0.99, inclination 131.65°, Period 773.96Y, LA Sun 220.57°, last Perihelion 2021-10-21

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: 2459521.587736049667
Time: 2021-11-03 02:06:20.394691 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0004 and UK0045
 Convergence angle = 28.86984 deg
 R.A. = 150.92963  Dec = +42.08370 deg

Best intersection: Stations UK0004 and UK0045 with Qconv = 28.87 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1022889.87 +/- 66.83 m
 Y =   3986174.40 +/- 82.94 m
 Z =   5001652.86 +/- 67.60 m
 Vx =   -43216.23 +/- 173.43 m/s
 Vy =    24116.28 +/- 471.22 m/s
 Vz =    44975.73 +/- 409.91 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.987548e+03, -1.638765e+03, -1.352300e+03, +4.032680e+03, -3.308642e+02, +1.876907e+03
-1.638765e+03, +1.644890e+03, +1.319826e+03, -3.411665e+03, +2.052742e+03, -3.509020e+02
-1.352300e+03, +1.319826e+03, +1.062941e+03, -2.804215e+03, +1.466478e+03, -4.424645e+02
+4.032680e+03, -3.411665e+03, -2.804215e+03, +8.207762e+03, -1.196486e+03, +3.455124e+03
-3.308642e+02, +2.052742e+03, +1.466478e+03, -1.196486e+03, +1.084214e+04, +6.939602e+03
+1.876907e+03, -3.509020e+02, -4.424645e+02, +3.455124e+03, +6.939602e+03, +6.647913e+03

Timing offsets (from input data):
    UK0004: 0.000000 s
    UK0045: 0.000004 s

Reference point on the trajectory:
  Time: 2021-11-03 02:06:20.394691 UTC
  Lon     = ++1.463815 +/- 0.0012 deg
  Lat     = +50.738147 +/- 0.0001 deg
  Lat geo = +50.552699 +/- 0.0001 deg
  Ht      =  111664.49 +/- 92.47 m

  JD dynamic   = 2459521.588536790572 
  LST apparent = 75.6078990876 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 150.83684 +/- 0.3638 deg
  Dec       = +42.26420 +/- 0.1369 deg
  Azimuth   =  68.66205 +/- 0.3333 deg
  Elevation = +39.80226 +/- 0.1635 deg
  Vavg      =  64.82677 +/- 0.6498 km/s
  Vinit     =  66.87342 +/- 0.4333 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 150.92490 +/- 0.3638 deg
  Dec       = +42.09749 +/- 0.1369 deg
  Azimuth   =  68.78316 +/- 0.3333 deg
  Elevation = +39.64938 +/- 0.1635 deg
  Vavg      =  65.04184 +/- 0.6498 km/s
  Vinit     =  67.08849 +/- 0.4333 km/s
Radiant (geocentric, J2000):
  R.A.   = 150.90733 +/- 0.3711 deg
  Dec    = +42.14432 +/- 0.1343 deg
  Vg     =  65.94678 +/- 0.4393 km/s
  Vinf   =  66.87342 +/- 0.4333 km/s
  Zc     =  50.26544 +/- 0.1643 deg
  Zg     =  50.64049 +/- 0.1698 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 137.31024 +/- 0.2465 deg
  Bg     = +28.18002 +/- 0.2157 deg
  Vh     =  42.16407 +/- 0.3177 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 143.55021 +/- 0.5872 deg
  Bh     = +47.61367 +/- 0.4847 deg
  Vh_x   =  22.86356 +/- 0.2197 km/s
  Vh_y   = -16.88715 +/- 0.5192 km/s
  Vh_z   = -31.14306 +/- 0.0467 km/s
Orbit:
  La Sun = 220.574171 +/- 0.0000 deg
  a      =  84.297056 +/- 6107.5273 AU
  e      =   0.988502 +/- 0.0298
  i      = 131.649558 +/- 0.5405 deg
  peri   = 162.486893 +/- 0.8677 deg
  node   = 220.576370 +/- 0.0000 deg
  Pi     =  23.063263 +/- 0.8677 deg
  q      =   0.969265 +/- 0.0018 AU
  f      =  17.514324 +/- 0.8677 deg
  M      =   0.015555 +/- nan deg
  Q      = 167.624846 +/- 12215.0552 AU
  n      =   0.001273 +/- 0.0078 deg/day
  T      = 773.961299 +/- nan years
  Last perihelion JD = 2459509.374141 (2021-10-21 20:58:45.760250) +/- 0.2041 days
  Tj     =  -0.747130 +/- 0.1743
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.414784e-05, +3.772237e-06, +1.260792e-03, +1.798607e-08, +1.675291e-03, +6.308317e-04
q   , +3.772237e-06, +7.112393e-07, +2.098942e-04, +2.397076e-10, +2.952990e-04, +8.584088e-06
Tp  , +1.260792e-03, +2.098942e-04, +6.284401e-02, +1.729118e-07, +8.781272e-02, +6.111022e-03
node, +1.798607e-08, +2.397076e-10, +1.729118e-07, +1.165378e-11, +1.750623e-07, +4.081477e-07
peri, +1.675291e-03, +2.952990e-04, +8.781272e-02, +1.750623e-07, +1.230980e-01, +6.209166e-03
i   , +6.308317e-04, +8.584088e-06, +6.111022e-03, +4.081477e-07, +6.209166e-03, +1.429452e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.001607
 a2 = 59.155436

Mean time residuals from time vs. length:
  Station with reference time: UK0004
  Avg. res. = 2.441e-05 s
  Stddev    = 4.94e-03 s

Begin point on the trajectory:
  Lon =     1.463311 +/- 0.0011 deg
  Lat =    50.738022 +/- 0.0001 deg
  Ht  = 111632.14 +/- 93.37 m
End point on the trajectory:
  Lon =     1.320026 +/- 0.0006 deg
  Lat =    50.702621 +/- 0.0002 deg
  Ht  = 102500.93 +/- 55.66 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
    UK0004,   False,     0.265784,    50.757315,   55.00,   0.000000,   0.000000,   111632.14,   104570.68,          0.006139,      2.27,     14.18,              20.34, 1.0000,    True,   False, {"ff_name": "FF_UK0004_20211103_020617_950_0810496.fits"}
    UK0045,   False,    -0.162580,    51.236418,  112.00,   0.096012,  40.921699,   110233.36,   102500.93,          0.007945,      7.59,     20.96,              35.54, 1.0000,    True,    True, {"ff_name": "FF_UK0045_20211103_020617_408_0808704.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,     UK0004,       0,  0.000000, 2459521.587736049667, 124.72121,  37.26306,               90.99151,  52.22736,        90.99097,       52.22792,    124.72121,     +37.26306,     124.72090,      +37.26366,  1022922.53,  3986156.18,  5001618.87,      50.738022,       +1.463311,  111632.14,  140435.68,       0.00,               50.54,  -202.66,      0.00,           69477.74,     -1.58,     -0.25,           2.35,  +4.25,  +3.51
  1,     UK0004,       0,  0.039788, 2459521.587736510206, 124.25073,  37.11638,               91.55500,  52.43572,        91.55730,       52.43330,    124.25073,     +37.11638,     124.25224,      +37.11380,  1024691.65,  3985168.94,  4999777.72,      50.731256,       +1.435867,  109880.06,  137869.36,    2737.56,             2788.10,  -125.86,  68803.60,           69477.74,      6.65,      1.06,          10.08,  +2.54,  +1.84
  2,     UK0004,       0,  0.079556, 2459521.587736970279, 123.73995,  36.95908,               92.16919,  52.66266,        92.17819,       52.65303,    123.73995,     +36.95908,     123.74563,      +36.94888,  1026540.96,  3984136.96,  4997853.12,      50.724173,       +1.407180,  108049.27,  135194.58,    5599.21,             5649.75,    76.37,  71958.68,           69477.74,     25.78,      4.13,          39.84,  +2.33,  +1.68
  3,     UK0004,       0,  0.119348, 2459521.587737430818, 123.25978,  36.78394,               92.78701,  52.85875,        92.78366,       52.86239,    123.25978,     +36.78394,     123.25825,      +36.78776,  1028259.92,  3983177.71,  4996064.17,      50.717579,       +1.380496,  106348.18,  132715.13,    8259.16,             8309.69,    75.28,  66846.23,           69477.74,     -9.51,     -1.52,          14.97,  +1.72,  +1.11
  4,     UK0004,       0,  0.159108, 2459521.587737891357, 122.72767,  36.61629,               93.44271,  53.09161,        93.44777,       53.08603,    122.72767,     +36.61629,     122.73147,      +36.61045,  1030056.77,  3982175.00,  4994194.16,      50.710676,       +1.352604,  104570.68,  130131.63,   11039.63,            11090.17,   196.87,  69931.43,           69387.89,     14.26,      2.29,          22.89,  +2.07,  +1.50
  0,     UK0045,       0,  0.023963, 2459521.587736320682, 119.88337,  17.29921,              115.82856,  40.38021,       115.83074,       40.38697,    119.88337,     +17.29921,     119.87788,      +17.30368,  1024334.86,  3985368.04,  5000149.04,      50.732621,       +1.441438,  110233.36,  168007.95,       0.00,             2236.00,   380.28,      0.00,           63273.40,    -19.18,      6.95,          25.05,  +3.89,  +2.76
  1,     UK0045,       0,  0.064071, 2459521.587736784481, 119.55616,  16.94641,              116.43250,  40.27882,       116.43147,       40.27572,    119.55616,     +16.94641,     119.55899,      +16.94436,  1025822.68,  3984537.78,  4998600.64,      50.726925,       +1.418326,  108760.27,  166150.05,    2302.27,             4538.27,     0.40,  57401.80,           63273.40,      8.71,     -3.15,          11.50,  +3.98,  +2.88
  2,     UK0045,       0,  0.104191, 2459521.587737249210, 119.21720,  16.56834,              117.06669,  40.16140,       117.06439,       40.15466,    119.21720,     +16.56834,     119.22322,      +16.56388,  1027360.55,  3983679.59,  4997000.16,      50.721030,       +1.394437,  107238.11,  164241.97,    4682.00,             6918.00,  -302.84,  59315.18,           63273.40,     18.79,     -6.79,          25.09,  +2.61,  +1.53
  3,     UK0045,       0,  0.144359, 2459521.587737713940, 118.79482,  16.07053,              117.87525,  39.99010,       117.87623,       39.99290,    118.79482,     +16.07053,     118.79310,      +16.07238,  1029291.91,  3982601.82,  4994990.16,      50.713615,       +1.364471,  105327.21,  161865.74,    7670.61,             9906.62,    -0.40,  74402.94,           63273.40,     -7.71,      2.79,          10.45,  +2.53,  +1.48
  4,     UK0045,       0,  0.184499, 2459521.587738178670, 118.42437,  15.64362,              118.57509,  39.84473,       118.57652,       39.84865,    118.42437,     +15.64362,     118.42188,      +15.64621,  1030919.92,  3981693.33,  4993295.88,      50.707356,       +1.339179,  103717.06,  159877.71,   10189.81,            12425.81,  -165.50,  62760.23,           64152.59,    -10.68,      3.87,          14.66,  +2.32,  +1.30
  5,     UK0045,       0,  0.224615, 2459521.587738642935, 118.14716,  15.30693,              119.11027,  39.71991,       119.11587,       39.73501,    118.14716,     +15.30693,     118.13555,      +15.31693,  1032149.90,  3981006.96,  4992015.82,      50.702621,       +1.320026,  102500.93,  158383.98,   12093.10,            14329.10,  -944.90,  47444.71,           62018.07,    -40.81,     14.77,          56.52,  +3.96,  +2.96

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.