Orbital Analysis for matched events on 20210816_023228.523_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 84.40° Bg 34.83° Vg 64.15km/s
mass 0.05787g, abs. mag -1.6
Path Details
------------
start -4.98° 49.11° 108.66km
end   -5.09° 49.04° 98.19km

Orbit Details
-------------
Semimajor axis -1.58A.U., eccentricity 1.47, inclination 113.10°, Period 1000000000.00Y, LA Sun 143.17°, 

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: 2459442.605885685422
Time: 2021-08-16 02:32:28.523220 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003E
 Convergence angle = 4.74796 deg
 R.A. =  81.21702  Dec = +58.08741 deg

Best intersection: Stations UK0024 and UK003E with Qconv = 4.75 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4251180.88 +/- 1099.93 m
 Y =   -159528.78 +/- 844.32 m
 Z =   4881028.90 +/- 213.54 m
 Vx =     5276.22 +/- 7919.29 m/s
 Vy =    33822.48 +/- 6248.13 m/s
 Vz =    55381.99 +/- 2689.87 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.654049e+05, -6.071882e+05, -1.525359e+05, +3.068503e+06, -2.417094e+06, -6.047261e+05
-6.071882e+05, +4.862953e+05, +1.244311e+05, -2.395889e+06, +1.900161e+06, +4.718298e+05
-1.525359e+05, +1.244311e+05, +3.433644e+04, -6.039437e+05, +4.816800e+05, +1.179127e+05
+3.068503e+06, -2.395889e+06, -6.039437e+05, +1.878609e+07, -1.508229e+07, -4.121018e+06
-2.417094e+06, +1.900161e+06, +4.816800e+05, -1.508229e+07, +1.225143e+07, +3.402009e+06
-6.047261e+05, +4.718298e+05, +1.179127e+05, -4.121018e+06, +3.402009e+06, +1.015540e+06

Timing offsets (from input data):
    UK0024: 0.000000 s
    UK003E: 0.000775 s

Reference point on the trajectory:
  Time: 2021-08-16 02:32:28.523220 UTC
  Lon     = +-4.979259 +/- 0.0108 deg
  Lat     = +49.112806 +/- 0.0087 deg
  Lat geo = +48.925472 +/- 0.0087 deg
  Ht      =  108743.40 +/- 592.53 m

  JD dynamic   = 2459442.606686426327 
  LST apparent = 357.8509408359 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  81.13347 +/- 15.8024 deg
  Dec       = +58.27984 +/- 1.2587 deg
  Azimuth   =  45.65817 +/- 2.8089 deg
  Elevation = +43.10443 +/- 8.0687 deg
  Vavg      =  63.48223 +/- 2.0737 km/s
  Vinit     =  65.10732 +/- 2.2882 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  81.19366 +/- 15.8024 deg
  Dec       = +58.04977 +/- 1.2587 deg
  Azimuth   =  45.91830 +/- 2.8089 deg
  Elevation = +42.97105 +/- 8.0687 deg
  Vavg      =  63.64475 +/- 2.0737 km/s
  Vinit     =  65.26984 +/- 2.2882 km/s
Radiant (geocentric, J2000):
  R.A.   =  81.28536 +/- 15.8579 deg
  Dec    = +58.09439 +/- 1.2602 deg
  Vg     =  64.15483 +/- 2.3258 km/s
  Vinf   =  65.10732 +/- 2.2882 km/s
  Zc     =  47.02665 +/- 8.0753 deg
  Zg     =  47.39403 +/- 8.1294 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  84.40188 +/- 10.2591 deg
  Bg     = +34.82592 +/- 2.1680 deg
  Vh     =  48.10380 +/- 2.6643 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 113.08806 +/- 21.7629 deg
  Bh     = +49.60927 +/- 6.6755 deg
  Vh_x   =  12.22360 +/- 6.6820 km/s
  Vh_y   = -28.67440 +/- 5.8721 km/s
  Vh_z   = -36.63793 +/- 0.5599 km/s
Orbit:
  La Sun = 143.171968 +/- nan deg
  a      =  -1.578829 +/- 37.7987 AU
  e      =   1.470251 +/- 0.2076
  i      = 113.097006 +/- 1.2300 deg
  peri   = 123.479097 +/- 19.6355 deg
  node   = 143.172113 +/- 0.0001 deg
  Pi     = 266.651211 +/- 19.6356 deg
  q      =   0.742447 +/- 0.0867 AU
  f      =  56.517449 +/- 19.6355 deg
  M      =        nan +/- nan deg
  Q      =  -3.900105 +/- 75.5885 AU
  n      =   0.496823 +/- 0.1869 deg/day
  T      = 1000000000.000000 +/- 485215346.7682 years
  Last perihelion JD = NaN 
  Tj     =  -3.762040 +/- 1.4132
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.367576e-03, -1.814240e-03, -3.525036e+01, -3.804630e-08, -8.991413e-03, +6.013887e-04
q   , -1.814240e-03, +1.522641e-03, -7.809472e+01, +2.724991e-08, +9.653815e-03, -4.315730e-04
Tp  , -3.525036e+01, -7.809472e+01, +3.448246e+07, -1.992719e-03, -1.089439e+03, +3.168576e+01
node, -3.804630e-08, +2.724991e-08, -1.992719e-03, +7.201548e-13, +1.941250e-07, -1.140850e-08
peri, -8.991413e-03, +9.653815e-03, -1.089439e+03, +1.941250e-07, +7.711234e-02, -3.078947e-03
i   , +6.013887e-04, -4.315730e-04, +3.168576e+01, -1.140850e-08, -3.078947e-03, +1.807350e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.204594
 a2 = 30.671503

Mean time residuals from time vs. length:
  Station with reference time: UK0024
  Avg. res. = 1.176e-05 s
  Stddev    = 3.43e-03 s

Begin point on the trajectory:
  Lon =    -4.980071 +/- 0.0107 deg
  Lat =    49.112285 +/- 0.0087 deg
  Ht  = 108664.54 +/- 594.64 m
End point on the trajectory:
  Lon =    -5.089047 +/- 0.0084 deg
  Lat =    49.042874 +/- 0.0068 deg
  Ht  = 98185.87 +/- 406.44 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
    UK0024,   False,    -2.949770,    50.877440,   82.00,   2.927467,  18.817325,   108664.54,    98185.87,          0.023702,    111.06,     23.21,              94.93, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210816_023221_149_0574976.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   107249.37,    98489.88,          0.011497,     72.02,      8.82,             101.01, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210816_023227_555_0579328.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,     UK0024,       0,  0.000000, 2459442.605885685422, 325.30572,  -9.42170,              217.35352,  22.67695,       217.33657,       22.67482,    325.30572,      -9.42170,     325.31939,       -9.42972,  4251171.53,  -159588.73,  4880930.73,      49.112285,       -4.980071,  108664.54,  269320.40,       0.00,              115.40,   165.21,      0.00,           62759.60,     15.12,     72.64,          56.82,  +3.75,  +1.60
  1,     UK0024,       0,  0.040420, 2459442.605886152945, 325.03445,  -9.86332,              217.43439,  22.16609,       217.41377,       22.16351,    325.03445,      -9.86332,     325.05134,       -9.87313,  4250959.91,  -160945.32,  4878709.41,      49.100499,       -4.998605,  106880.38,  270291.74,    2611.39,             2726.80,   144.97,  64606.45,           62759.60,     18.52,     89.01,          69.38,  +1.51,  -0.65
  2,     UK0024,       0,  0.080792, 2459442.605886620469, 324.80443, -10.26680,              217.48969,  21.70625,       217.48268,       21.70537,    324.80443,     -10.26680,     324.81040,      -10.27016,  4250769.01,  -162169.03,  4876705.67,      49.089859,       -5.015341,  105271.43,  271187.29,    4967.00,             5082.41,  -127.93,  58347.65,           62759.60,      6.35,     30.47,          23.67,  +1.01,  -1.16
  3,     UK0024,       0,  0.121212, 2459442.605887088459, 324.53459, -10.72123,              217.56124,  21.18426,       217.56023,       21.18413,    324.53459,     -10.72123,     324.53581,      -10.72172,  4250550.24,  -163571.41,  4874409.37,      49.077655,       -5.034498,  103428.13,  272234.17,    7666.54,             7781.95,   -60.03,  66787.19,           62759.60,      0.92,      4.43,           3.43,  +0.90,  -1.27
  4,     UK0024,       0,  0.161640, 2459442.605887555983, 324.25044, -11.16118,              217.65127,  20.67015,       217.63644,       20.66829,    324.25044,     -11.16118,     324.26327,      -11.16834,  4250332.07,  -164970.00,  4872119.28,      49.065475,       -5.053605,  101590.39,  273300.92,   10358.78,            10474.19,     0.05,  66593.50,           63782.83,     13.61,     65.40,          50.42,  +0.84,  -1.34
  5,     UK0024,       0,  0.202020, 2459442.605888023507, 324.00154, -11.56319,              217.72188,  20.20455,       217.70501,       20.20244,    324.00154,     -11.56319,     324.01628,      -11.57137,  4250133.58,  -166242.36,  4870035.88,      49.054386,       -5.071005,   99919.00,  274291.46,   12808.04,            12923.45,  -179.72,  60655.25,           63628.55,     15.57,     74.88,          57.52,  +0.92,  -1.27
  6,     UK0024,       0,  0.242384, 2459442.605888490565, 323.80699, -12.01333,              217.71921,  19.71579,       217.77509,       19.72281,    323.80699,     -12.01333,     323.76132,      -11.98611,  4249927.70,  -167562.12,  4867874.86,      49.042874,       -5.089047,   98185.87,  275338.01,   15348.55,            15463.95,  -267.21,  62939.81,           63499.73,    -52.24,   -249.62,         191.05,  +2.50,  +0.30
  0,     UK003E,       0,  0.036101, 2459442.605886006262, 318.22576, -12.77853,              223.55417,  15.91009,       223.55929,       15.91041,    318.22576,     -12.77853,     318.22137,      -12.77607,  4251003.68,  -160664.72,  4879168.87,      49.102937,       -4.994753,  107249.37,  357518.09,       0.00,             2186.65,  -113.97,      0.00,           64671.27,     -3.76,    -30.56,          17.76,  +1.73,  -1.04
  1,     UK003E,       0,  0.076457, 2459442.605886473320, 318.02233, -13.11172,              223.58607,  15.52359,       223.58714,       15.52366,    318.02233,     -13.11172,     318.02157,      -13.11120,  4250781.52,  -162088.84,  4876836.98,      49.090556,       -5.014202,  105376.86,  358813.52,    2741.39,             4928.04,    -0.05,  67930.19,           64671.27,     -0.79,     -6.44,           3.73,  +0.94,  -1.83
  2,     UK003E,       0,  0.116813, 2459442.605886940379, 317.81521, -13.45131,              223.61767,  15.12986,       223.61538,       15.12971,    317.81521,     -13.45131,     317.81753,      -13.45242,  4250553.55,  -163550.21,  4874444.09,      49.077840,       -5.034158,  103456.00,  360159.58,    5554.48,             7741.13,   185.57,  69706.89,           64671.27,      1.70,     13.88,           8.01,  +0.53,  -2.25
  3,     UK003E,       0,  0.157097, 2459442.605887406506, 317.63706, -13.70606,              223.66142,  14.82473,       223.63759,       14.82324,    317.63706,     -13.70606,     317.65813,      -13.71763,  4250375.06,  -164694.41,  4872570.54,      49.067876,       -5.049820,  101952.47,  361227.02,    7757.03,             9943.68,  -234.67,  54675.41,           64671.27,     17.68,    144.46,          83.11,  +0.64,  -2.15
  4,     UK003E,       0,  0.197465, 2459442.605887874030, 317.43168, -14.06596,              223.68079,  14.41373,       223.66672,       14.41285,    317.43168,     -14.06596,     317.44453,      -14.07281,  4250134.30,  -166237.78,  4870043.38,      49.054426,       -5.070889,   99925.03,  362680.48,   10727.98,            12914.63,   108.03,  73596.69,           65627.20,     10.52,     85.80,          49.16,  +0.95,  -1.85
  5,     UK003E,       0,  0.237725, 2459442.605888339691, 317.28682, -14.31906,              223.69436,  14.12457,       223.68759,       14.12414,    317.28682,     -14.31906,     317.29354,      -14.32237,  4249963.82,  -167330.58,  4868253.99,      49.044895,       -5.085856,   98489.88,  363723.10,   12831.59,            15018.24,  -409.58,  52250.76,           63993.13,      5.09,     41.47,          23.69,  +1.58,  -1.22

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.