Orbital Analysis for matched events on 20210810_015531.542_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 105.71° Bg 67.36° Vg 35.21km/s
mass 0.01386g, abs. mag 0.7
Path Details
------------
start 1.36° 52.55° 98.41km
end   1.36° 52.49° 90.84km

Orbit Details
-------------
Semimajor axis 12.41A.U., eccentricity 0.92, inclination 55.57°, Period 43.71Y, LA Sun 137.39°, last Perihelion 2021-07-17

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: 2459436.580226191785
Time: 2021-08-10 01:55:31.542970 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 4.77269 deg
 R.A. = 199.91129  Dec = +80.42090 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 4.77 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3874336.32 +/- 327.58 m
 Y =   -752249.08 +/- 169.40 m
 Z =   5118220.59 +/- 136.10 m
 Vx =    -3251.73 +/- 2640.17 m/s
 Vy =    -1117.78 +/- 1366.61 m/s
 Vz =    36757.10 +/- 916.25 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.974726e+04, +1.614693e+04, +1.158988e+04, +1.582893e+05, +8.678978e+04, +2.657920e+04
+1.614693e+04, +8.910690e+03, +6.390672e+03, +9.014219e+04, +5.011096e+04, +1.504986e+04
+1.158988e+04, +6.390672e+03, +6.252844e+03, +7.145829e+04, +3.933306e+04, +1.170782e+04
+1.582893e+05, +9.014219e+04, +7.145829e+04, +1.596473e+06, +8.758491e+05, +2.437060e+05
+8.678978e+04, +5.011096e+04, +3.933306e+04, +8.758491e+05, +4.848611e+05, +1.340130e+05
+2.657920e+04, +1.504986e+04, +1.170782e+04, +2.437060e+05, +1.340130e+05, +3.764184e+04

Timing offsets (from input data):
    UK002K: -0.000534 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:55:31.542970 UTC
  Lon     = ++1.358351 +/- 0.0033 deg
  Lat     = +52.547088 +/- 0.0013 deg
  Lat geo = +52.363973 +/- 0.0013 deg
  Ht      =   98421.47 +/- 281.55 m

  JD dynamic   = 2459436.581026932690 
  LST apparent = 349.0120506085 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 198.97034 +/- 8.6771 deg
  Dec       = +84.65575 +/- 4.7163 deg
  Azimuth   = 356.02612 +/- 3.4960 deg
  Elevation = +47.84493 +/- 4.0350 deg
  Vavg      =  36.06741 +/- 0.2313 km/s
  Vinit     =  36.91758 +/- 0.2841 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 194.64251 +/- 8.6771 deg
  Dec       = +84.86334 +/- 4.7163 deg
  Azimuth   = 356.69055 +/- 3.4960 deg
  Elevation = +47.86596 +/- 4.0350 deg
  Vavg      =  36.05515 +/- 0.2313 km/s
  Vinit     =  36.90531 +/- 0.2841 km/s
Radiant (geocentric, J2000):
  R.A.   = 194.62641 +/- 8.0621 deg
  Dec    = +83.81604 +/- 4.8076 deg
  Vg     =  35.20747 +/- 0.2978 km/s
  Vinf   =  36.91758 +/- 0.2841 km/s
  Zc     =  42.33775 +/- 4.0335 deg
  Zg     =  43.38988 +/- 4.1439 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 105.71330 +/- 12.3253 deg
  Bg     = +67.36477 +/- 0.7906 deg
  Vh     =  40.97230 +/- 1.9610 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 200.59771 +/- 0.8469 deg
  Bh     = +52.47971 +/- 3.0001 deg
  Vh_x   =  23.35865 +/- 2.6379 km/s
  Vh_y   =   8.77887 +/- 1.4651 km/s
  Vh_z   = -32.49667 +/- 0.1951 km/s
Orbit:
  La Sun = 137.386107 +/- -0.0000 deg
  a      =  12.408713 +/- 25.1742 AU
  e      =   0.924710 +/- 0.1808
  i      =  55.571111 +/- 3.1325 deg
  peri   = 146.800257 +/- 1.4208 deg
  node   = 137.389822 +/- 0.0003 deg
  Pi     = 284.190079 +/- 1.4211 deg
  q      =   0.934251 +/- 0.0012 AU
  f      =  33.195574 +/- 1.4210 deg
  M      =   0.522447 +/- nan deg
  Q      =  23.883175 +/- 50.3486 AU
  n      =   0.022548 +/- 0.1211 deg/day
  T      =  43.710998 +/- 446947551.5576 years
  Last perihelion JD = 2459413.410912 (2021-07-17 21:51:42.766715) +/- 1.0982 days
  Tj     =   1.084076 +/- 0.9217
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.790585e-03, +6.875955e-05, +8.907638e-02, +1.835614e-07, +1.326885e-03, -2.127550e-03
q   , +6.875955e-05, +1.475563e-06, +1.180672e-03, +2.202801e-09, +1.879926e-05, -2.579767e-05
Tp  , +8.907638e-02, +1.180672e-03, +1.394201e+00, +2.829560e-06, +2.099461e-02, -3.285193e-02
node, +1.835614e-07, +2.202801e-09, +2.829560e-06, +5.826826e-12, +4.219251e-08, -6.755273e-08
peri, +1.326885e-03, +1.879926e-05, +2.099461e-02, +4.219251e-08, +3.183399e-04, -4.903578e-04
i   , -2.127550e-03, -2.579767e-05, -3.285193e-02, -6.755273e-08, -4.903578e-04, +7.833179e-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: UK0032
  Avg. res. = 1.916e-05 s
  Stddev    = 4.38e-03 s

Begin point on the trajectory:
  Lon =     1.358366 +/- 0.0033 deg
  Lat =    52.546959 +/- 0.0013 deg
  Ht  = 98405.42 +/- 279.92 m
End point on the trajectory:
  Lon =     1.364078 +/- 0.0045 deg
  Lat =    52.486407 +/- 0.0020 deg
  Ht  = 90841.58 +/- 352.73 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,    96436.14,    92142.36,          0.002459,      4.45,      6.81,              96.81, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_015523_107_0498176.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,    98405.42,    90841.58,          0.018996,     25.62,     39.94,              80.55, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_015530_620_0504576.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,     UK002K,       0,  0.070089, 2459436.580227009486,  26.63599,   2.76865,              133.07641,  29.85263,       133.07807,       29.85335,     26.63599,      +2.76865,      26.63467,       +2.76867,  3874572.23,  -752167.98,  5115553.87,      52.531213,       +1.359864,   96436.14,  189474.35,       0.00,             2678.36,   156.80,      0.00,           36661.91,     -4.46,      2.91,           5.80,  +3.01,  +1.62
  1,     UK002K,       0,  0.110353, 2459436.580227475613,  26.63153,   2.38986,              133.27019,  29.51327,       133.27497,       29.51534,     26.63153,      +2.38986,      26.62734,       +2.38991,  3874682.73,  -752130.00,  5114304.79,      52.523774,       +1.360543,   95506.37,  189526.74,    1254.53,             3932.89,   -75.11,  31157.66,           36661.91,    -12.87,      8.40,          16.73,  +3.49,  +2.10
  2,     UK002K,       0,  0.150657, 2459436.580227941740,  26.61852,   1.95107,              133.50114,  29.12321,       133.50101,       29.12315,     26.61852,      +1.95107,      26.61928,       +1.95107,  3874810.84,  -752085.96,  5112856.65,      52.515147,       +1.361357,   94428.54,  189598.97,    2709.00,             5387.36,  -108.57,  36087.38,           36661.91,      0.35,     -0.23,           0.46,  +2.23,  +0.84
  3,     UK002K,       0,  0.191017, 2459436.580228408799,  26.60703,   1.42898,              133.76958,  28.65687,       133.76717,       28.65583,     26.60703,      +1.42898,      26.61018,       +1.42895,  3874963.39,  -752033.52,  5111132.20,      52.504869,       +1.362357,   93145.25,  189700.81,    4440.98,             7119.34,   133.41,  42913.34,           36661.91,      6.51,     -4.25,           8.46,  +2.59,  +1.20
  4,     UK002K,       0,  0.231301, 2459436.580228875391,  26.60225,   1.02128,              133.97324,  28.29055,       133.97396,       28.29086,     26.60225,      +1.02128,      26.60251,       +1.02129,  3875082.63,  -751992.53,  5109784.38,      52.496834,       +1.363102,   92142.36,  189789.81,    5794.68,             8473.05,    -0.07,  33603.97,           36657.25,     -1.96,      1.28,           2.54,  +2.80,  +1.41
  0,     UK0032,       0,  0.000000, 2459436.580226191785,  31.98435,  19.66739,              116.97067,  42.38382,       116.98868,       42.39348,     31.98435,     +19.66739,      31.96691,      +19.66775,  3874338.22,  -752248.42,  5118199.03,      52.546959,       +1.358366,   98405.42,  144639.14,       0.00,               21.66,    87.63,      0.00,           36761.30,    -34.92,     22.40,          59.16,  +5.15,  +4.35
  1,     UK0032,       0,  0.040268, 2459436.580226657912,  31.93784,  19.11394,              117.44327,  41.95308,       117.43007,       41.94603,     31.93784,     +19.11394,      31.95080,      +19.11368,  3874465.40,  -752204.70,  5116761.42,      52.538402,       +1.359172,   97335.09,  144278.00,    1443.88,             1465.54,    44.91,  35856.84,           36761.30,     25.63,    -16.44,          43.53,  +3.13,  +2.33
  2,     UK0032,       0,  0.080568, 2459436.580227124505,  31.94005,  18.55714,              117.86129,  41.49190,       117.86714,       41.49501,     31.94005,     +18.55714,      31.93472,      +18.55726,  3874592.50,  -752161.01,  5115324.76,      52.529848,       +1.359978,   96265.58,  143930.62,    2886.82,             2908.48,     0.07,  35804.87,           36761.30,    -11.36,      7.28,          19.34,  +2.74,  +1.95
  3,     UK0032,       0,  0.120880, 2459436.580227590632,  31.91669,  17.94887,              118.33816,  41.00003,       118.33777,       40.99983,     31.91669,     +17.94887,      31.91757,      +17.94886,  3874730.76,  -752113.49,  5113761.87,      52.520540,       +1.360870,   95102.27,  143568.88,    4456.53,             4478.19,    81.56,  38939.15,           36761.30,      0.75,     -0.48,           1.28,  +2.14,  +1.35
  4,     UK0032,       0,  0.161172, 2459436.580228057224,  31.86704,  17.35292,              118.82667,  40.53046,       118.79256,       40.51245,     31.86704,     +17.35292,      31.90078,      +17.35225,  3874865.69,  -752067.10,  5112236.64,      52.511452,       +1.361735,   93967.13,  143231.36,    5988.42,             6010.08,   125.97,  38019.70,           37198.94,     66.43,    -42.60,         113.65,  +2.06,  +1.28
  5,     UK0032,       0,  0.201444, 2459436.580228523351,  31.87674,  16.85381,              119.17715,  40.10881,       119.16821,       40.10410,     31.87674,     +16.85381,      31.88626,      +16.85363,  3874978.01,  -752028.49,  5110966.93,      52.503884,       +1.362428,   93022.26,  142961.02,    7263.67,             7285.33,   -85.52,  31665.93,           36534.01,     17.44,    -11.19,          29.90,  +2.20,  +1.42
  6,     UK0032,       0,  0.241780, 2459436.580228989944,  31.82860,  16.17566,              119.71043,  39.56627,       119.67105,       39.54564,     31.82860,     +16.17566,      31.86783,      +16.17488,  3875130.19,  -751976.18,  5109246.80,      52.493628,       +1.363426,   91742.40,  142614.81,    8991.32,             9012.97,   153.01,  42831.28,           36971.94,     76.91,    -49.33,         132.15,  +2.43,  +1.66
  7,     UK0032,       0,  0.282048, 2459436.580229456071,  31.84714,  15.69554,              120.02821,  39.15340,       120.02249,       39.15041,     31.84714,     +15.69554,      31.85387,      +15.69543,  3875237.30,  -751939.36,  5108035.99,      52.486407,       +1.364078,   90841.58,  142380.91,   10207.41,            10229.07,  -117.49,  30200.05,           36590.43,     11.19,     -7.18,          19.25,  +2.83,  +2.06
  8,     UK0032,       1,  0.322420, 2459436.580229923595,  31.87498,  15.04021,              120.45321,  38.58710,       120.49452,       38.60863,     31.87498,     +15.04021,      31.83615,      +15.04103,  3875382.89,  -751889.32,  5106390.33,      52.476588,       +1.365025,   89617.44,  142081.79,   11860.25,            11881.91,    44.91,  40940.19,           36702.93,    -81.01,     51.95,         139.71,  +5.75,  +4.99

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.