Orbital Analysis for matched events on 20211103_035500.171_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 104.10° Bg -3.14° Vg 53.44km/s
mass 0.00528g, abs. mag 0.9
best visual mag 1.9
Path Details
------------
start -3.06° 49.42° 108.49km
end   -3.07° 49.46° 100.73km

Orbit Details
-------------
Semimajor axis 1.01A.U., eccentricity 0.80, inclination 170.61°, Period 1.02Y, LA Sun 220.65°, last Perihelion 2020-12-10

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: 2459521.663196433801
Time: 2021-11-03 03:55:00.171880 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003C
 Convergence angle = 66.03558 deg
 R.A. = 104.77485  Dec = +19.81983 deg

Best intersection: Stations UK0021 and UK003C with Qconv = 66.04 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -612345.59 +/- 100.56 m
 Y =   4182872.23 +/- 313.37 m
 Z =   4903288.04 +/- 70.01 m
 Vx =   -13482.28 +/- 251.08 m/s
 Vy =    49538.09 +/- 1633.10 m/s
 Vz =    18538.69 +/- 1612.31 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.643788e+04, -3.867341e+04, -5.367164e+03, +8.592360e+04, -1.176039e+05, +7.411463e+04
-3.867341e+04, +1.114868e+05, +1.412856e+04, -1.751751e+05, +2.459649e+05, -2.447545e+05
-5.367164e+03, +1.412856e+04, +5.266135e+03, -8.409183e+02, +4.086592e+03, -8.894540e+03
+8.592360e+04, -1.751751e+05, -8.409183e+02, +1.126946e+06, -1.741981e+06, +3.720700e+05
-1.176039e+05, +2.459649e+05, +4.086592e+03, -1.741981e+06, +3.395729e+06, -4.086168e+05
+7.411463e+04, -2.447545e+05, -8.894540e+03, +3.720700e+05, -4.086168e+05, +8.348396e+05

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK003C: -0.000023 s

Reference point on the trajectory:
  Time: 2021-11-03 03:55:00.171880 UTC
  Lon     = +-3.055625 +/- 0.0009 deg
  Lat     = +49.420206 +/- 0.0021 deg
  Lat geo = +49.233151 +/- 0.0021 deg
  Ht      =  108177.97 +/- 225.06 m

  JD dynamic   = 2459521.663997174706 
  LST apparent = 98.3285730775 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 105.22485 +/- 0.6446 deg
  Dec       = +19.85448 +/- 1.2157 deg
  Azimuth   = 166.97628 +/- 0.9838 deg
  Elevation = +59.92425 +/- 1.2548 deg
  Vavg      =  52.72005 +/- 2.1398 km/s
  Vinit     =  54.58459 +/- 1.4931 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 105.56615 +/- 0.6446 deg
  Dec       = +19.84096 +/- 1.2157 deg
  Azimuth   = 166.34882 +/- 0.9838 deg
  Elevation = +59.85970 +/- 1.2548 deg
  Vavg      =  52.75573 +/- 2.1398 km/s
  Vinit     =  54.62026 +/- 1.4931 km/s
Radiant (geocentric, J2000):
  R.A.   = 104.95722 +/- 0.6495 deg
  Dec    = +19.56744 +/- 1.2247 deg
  Vg     =  53.44477 +/- 1.5217 km/s
  Vinf   =  54.58459 +/- 1.4931 km/s
  Zc     =  29.89353 +/- 1.2550 deg
  Zg     =  30.21629 +/- 1.2645 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 104.09664 +/- 0.7000 deg
  Bg     =  -3.14134 +/- 1.1823 deg
  Vh     =  30.20072 +/- 1.2870 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  76.73556 +/- 1.8620 deg
  Bh     =  -5.56482 +/- 2.0925 deg
  Vh_x   =  -6.89677 +/- 0.8872 km/s
  Vh_y   = -29.25647 +/- 1.3932 km/s
  Vh_z   =   2.92862 +/- 1.1689 km/s
Orbit:
  La Sun = 220.649758 +/- 0.0000 deg
  a      =   1.012360 +/- 0.1472 AU
  e      =   0.804436 +/- 0.0163
  i      = 170.608167 +/- 2.9829 deg
  peri   = 142.694462 +/- 6.6071 deg
  node   =  40.645686 +/- 0.0008 deg
  Pi     = 183.340148 +/- 6.6069 deg
  q      =   0.197982 +/- 0.0432 AU
  f      = 217.299542 +/- 6.6073 deg
  M      = 317.501895 +/- 5.7048 deg
  Q      =   1.826738 +/- 0.2555 AU
  n      =   0.967614 +/- 0.1261 deg/day
  T      =   1.018598 +/- 0.2480 years
  Last perihelion JD = 2459193.535007 (2020-12-10 00:50:24.618839) +/- 90.5116 days
  Tj     =   4.623750 +/- 0.5344
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.845895e-04, -8.821220e-04, +1.208097e+00, -1.575262e-05, +1.238527e-01, +4.115784e-02
q   , -8.821220e-04, +2.955474e-03, -5.243629e+00, +3.435607e-05, -4.445888e-01, -8.181432e-02
Tp  , +1.208097e+00, -5.243629e+00, +1.037025e+04, -4.512326e-02, +8.154774e+02, +9.559243e+01
node, -1.575262e-05, +3.435607e-05, -4.512326e-02, +9.474843e-07, -4.819772e-03, -2.580885e-03
peri, +1.238527e-01, -4.445888e-01, +8.154774e+02, -4.819772e-03, +6.762387e+01, +1.111862e+01
i   , +4.115784e-02, -8.181432e-02, +9.559243e+01, -2.580885e-03, +1.111862e+01, +7.497624e+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: UK0021
  Avg. res. = 7.222e-06 s
  Stddev    = 2.69e-03 s

Begin point on the trajectory:
  Lon =    -3.055070 +/- 0.0009 deg
  Lat =    49.418640 +/- 0.0022 deg
  Ht  = 108492.09 +/- 187.56 m
End point on the trajectory:
  Lon =    -3.069507 +/- 0.0018 deg
  Lat =    49.457431 +/- 0.0023 deg
  Ht  = 100725.38 +/- 201.06 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   108492.09,   100725.38,          0.021317,     55.99,     34.62,              20.72, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20211103_035451_425_0947456.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,   0.000000,   0.000000,   107267.75,   102074.11,          0.028132,     77.12,     54.23,              36.82, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20211103_035453_673_0940032.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,     UK0021,       0,  0.000000, 2459521.663196433801, 108.61685,  -2.68764,              166.71600,  35.83185,       166.71235,       35.83184,    108.61685,      -2.68764,     108.61971,       -2.68721,  -612435.25,  4183201.66,  4903411.32,      49.418640,       -3.055070,  108492.09,  182413.61,       0.00,              362.99,   604.39,      0.00,           56377.42,      4.95,     -8.01,          10.65,  +4.36,  +3.05
  1,     UK0021,       0,  0.040204, 2459521.663196898997, 108.66141,  -2.95773,              166.71027,  35.55816,       166.71773,       35.55817,    108.66141,      -2.95773,     108.65548,       -2.95860,  -611884.78,  4181179.06,  4902654.40,      49.428262,       -3.058650,  106563.56,  180358.75,    2228.64,             1865.65,   -87.46,  55433.26,           56377.42,    -10.05,     16.26,          21.86,  +2.71,  +1.43
  2,     UK0021,       0,  0.080436, 2459521.663197364658, 108.73338,  -3.27187,              166.67932,  35.23688,       166.72331,       35.23692,    108.73338,      -3.27187,     108.69804,       -3.27708,  -611254.37,  4178862.74,  4901787.56,      49.439289,       -3.062730,  104355.19,  178010.98,    4780.93,             4417.94,   268.78,  63439.26,           56377.42,    -58.59,     95.00,         129.34,  +2.51,  +1.26
  3,     UK0021,       0,  0.120652, 2459521.663197829854, 108.70776,  -3.52622,              166.75558,  34.98898,       166.72875,       34.98892,    108.70776,      -3.52622,     108.72999,       -3.52309,  -610778.55,  4177114.44,  4901133.30,      49.447616,       -3.065854,  102688.52,  176242.18,    6707.32,             6344.34,     0.00,  47901.27,           56377.42,     35.65,    -57.45,          79.13,  +2.06,  +0.83
  4,     UK0021,       0,  0.160880, 2459521.663198295515, 108.74747,  -3.82230,              166.76027,  34.69029,       166.73440,       34.69022,    108.74747,      -3.82230,     108.76917,       -3.81927,  -610218.05,  4175054.97,  4900362.58,      49.457431,       -3.069507,  100725.38,  174163.28,    8976.59,             8613.61,    73.44,  56410.18,           55771.86,     34.10,    -54.94,          76.59,  +3.94,  +2.74
  0,     UK003C,       0,  0.016311, 2459521.663196636364, 142.29770,   7.03639,              122.44462,  32.43319,       122.44032,       32.43561,    142.29770,      +7.03639,     142.29944,       +7.04040,  -612085.78,  4181917.62,  4902930.80,      49.424748,       -3.057309,  107267.75,  195959.79,       0.00,             1051.86,   402.96,      0.00,           50862.35,     -8.57,    -12.22,          15.71,  +4.02,  +2.56
  1,     UK003C,       0,  0.056591, 2459521.663197102491, 142.58874,   6.88781,              122.25367,  32.15127,       122.22879,       32.16522,    142.58874,      +6.88781,     142.59903,       +6.91099,  -611642.25,  4180287.93,  4902320.91,      49.432503,       -3.060228,  105713.93,  194542.21,    1795.71,             2847.57,    -0.00,  44580.71,           50862.35,    -49.24,    -70.24,          90.95,  +2.13,  +0.68
  2,     UK003C,       0,  0.096967, 2459521.663197570015, 143.02816,   6.73955,              121.91816,  31.78886,       121.93094,       31.78169,    143.02816,      +6.73955,     143.02328,       +6.72760,  -611025.98,  4178023.56,  4901473.52,      49.443285,       -3.064223,  103555.18,  192586.42,    4290.75,             5342.61,   291.13,  61795.06,           50862.35,     25.16,     35.82,          46.88,  +1.90,  +0.48
  3,     UK003C,       0,  0.137227, 2459521.663198035676, 143.33727,   6.64385,              121.67787,  31.54070,       121.72527,       31.51412,    143.33727,      +6.64385,     143.31841,       +6.59948,  -610603.14,  4176469.91,  4900892.10,      49.450687,       -3.067018,  102074.11,  191249.07,    6002.67,             7054.52,  -194.53,  42521.57,           50862.35,     92.92,    132.00,         174.10,  +5.27,  +3.86

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.