Orbital Analysis for matched events on 20210810_020556.400_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 60.93° Bg 37.48° Vg 57.97km/s
mass 0.01794g, abs. mag -0.1
Path Details
------------
start 0.12° 50.58° 106.03km
end   0.02° 50.54° 92.58km

Orbit Details
-------------
Semimajor axis 5.51A.U., eccentricity 0.83, inclination 113.49°, Period 12.92Y, LA Sun 137.39°, last Perihelion 2021-07-16

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: 2459436.587458336726
Time: 2021-08-10 02:05:56.440365 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK0038
 Convergence angle = 4.82834 deg
 R.A. =  45.73616  Dec = +55.98839 deg

Best intersection: Stations UK002B and UK0038 with Qconv = 4.83 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4068296.64 +/- 368.27 m
 Y =   -687930.88 +/- 339.70 m
 Z =   4988402.24 +/- 251.73 m
 Vx =    22718.28 +/- 1717.51 m/s
 Vy =    23131.17 +/- 1558.20 m/s
 Vz =    49316.83 +/- 2488.90 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.315861e+04, +7.701030e+04, +5.547177e+04, +2.112251e+05, +1.929981e+05, +7.376203e+04
+7.701030e+04, +7.163215e+04, +5.138340e+04, +1.940731e+05, +1.787738e+05, +6.874705e+04
+5.547177e+04, +5.138340e+04, +3.830241e+04, +1.368913e+05, +1.250786e+05, +4.882095e+04
+2.112251e+05, +1.940731e+05, +1.368913e+05, +1.067290e+06, +9.532188e+05, +2.811373e+05
+1.929981e+05, +1.787738e+05, +1.250786e+05, +9.532188e+05, +8.584664e+05, +2.572866e+05
+7.376203e+04, +6.874705e+04, +4.882095e+04, +2.811373e+05, +2.572866e+05, +1.020318e+05

Timing offsets (from input data):
    UK002B: 0.000000 s
    UK0038: 0.003356 s

Reference point on the trajectory:
  Time: 2021-08-10 02:05:56.440365 UTC
  Lon     = ++0.137760 +/- 0.0055 deg
  Lat     = +50.590614 +/- 0.0007 deg
  Lat geo = +50.404879 +/- 0.0007 deg
  Ht      =  108214.30 +/- 388.15 m

  JD dynamic   = 2459436.588259541430 
  LST apparent = 350.4023274358 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.51595 +/- 0.2596 deg
  Dec       = +56.67836 +/- 1.3982 deg
  Azimuth   =  57.44065 +/- 2.5946 deg
  Elevation = +57.68028 +/- 0.2056 deg
  Vavg      =  57.55454 +/- 1.6596 km/s
  Vinit     =  59.01967 +/- 2.0264 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.81776 +/- 0.2596 deg
  Dec       = +56.47825 +/- 1.3982 deg
  Azimuth   =  57.73232 +/- 2.5946 deg
  Elevation = +57.47238 +/- 0.2056 deg
  Vavg      =  57.69073 +/- 1.6596 km/s
  Vinit     =  59.15586 +/- 2.0264 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.63955 +/- 0.3023 deg
  Dec    = +56.52707 +/- 1.4043 deg
  Vg     =  57.96706 +/- 2.0615 km/s
  Vinf   =  59.01967 +/- 2.0264 km/s
  Zc     =  32.42001 +/- 0.1989 deg
  Zg     =  32.71976 +/- 0.1824 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.92635 +/- 0.8045 deg
  Bg     = +37.47960 +/- 1.2613 deg
  Vh     =  39.86348 +/- 1.2277 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  81.74339 +/- 4.1937 deg
  Bh     = +62.23196 +/- 2.3704 deg
  Vh_x   =  -2.66708 +/- 1.7454 km/s
  Vh_y   = -18.37962 +/- 1.7865 km/s
  Vh_z   = -35.27284 +/- 0.3526 km/s
Orbit:
  La Sun = 137.393046 +/- 0.0000 deg
  a      =   5.505828 +/- 8.2386 AU
  e      =   0.829912 +/- 0.1067
  i      = 113.494698 +/- 3.1573 deg
  peri   = 146.296446 +/- 3.0559 deg
  node   = 137.392985 +/- 0.0002 deg
  Pi     = 283.689431 +/- 3.0557 deg
  q      =   0.936473 +/- 0.0093 AU
  f      =  33.699865 +/- 3.0560 deg
  M      =   1.844023 +/- nan deg
  Q      =  10.075183 +/- 16.4839 AU
  n      =   0.076291 +/- 0.0320 deg/day
  T      =  12.919169 +/- 405080687.8996 years
  Last perihelion JD = 2459412.417175 (2021-07-16 22:00:43.886049) +/- 1.2668 days
  Tj     =   0.487698 +/- 0.6640
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.371305e-03, +1.762523e-04, +4.405273e-02, -8.082210e-08, +9.494466e-04, +1.158149e-03
q   , +1.762523e-04, +2.688527e-05, +6.304544e-03, -1.234162e-08, +1.392884e-04, +1.775339e-04
Tp  , +4.405273e-02, +6.304544e-03, +1.513125e+00, -2.897687e-06, +3.312650e-02, +4.162992e-02
node, -8.082210e-08, -1.234162e-08, -2.897687e-06, +5.837039e-12, -6.398787e-08, -8.402512e-08
peri, +9.494466e-04, +1.392884e-04, +3.312650e-02, -6.398787e-08, +7.278240e-04, +9.197487e-04
i   , +1.158149e-03, +1.775339e-04, +4.162992e-02, -8.402512e-08, +9.197487e-04, +1.209791e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000859
 a2 = 41.058969

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 5.967e-06 s
  Stddev    = 2.44e-03 s

Begin point on the trajectory:
  Lon =     0.121559 +/- 0.0044 deg
  Lat =    50.584027 +/- 0.0006 deg
  Ht  = 106026.83 +/- 302.44 m
End point on the trajectory:
  Lon =     0.020638 +/- 0.0049 deg
  Lat =    50.543381 +/- 0.0009 deg
  Ht  = 92584.21 +/- 313.96 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000010,  54.829762,   106026.83,    92584.21,          0.010104,     12.12,     22.73,              30.08, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210810_020548_905_0526592.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000001,  72.494489,   105135.39,    95162.47,          0.003723,      5.70,     13.12,              48.43, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_020549_275_0516352.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,     UK002B,       1,  0.000000, 2459436.587458336726,  40.31344,  26.02293,              102.61441,  43.96021,       102.65811,       43.99623,     40.31344,     +26.02293,      40.26048,      +26.02756,  4068301.24,  -687926.21,  4988412.21,      50.590645,       +0.138002,  108224.39,  154404.91,       0.00,               11.93,    -4.32,      0.00,           57472.09,   -113.82,    -60.40,         172.13,  +5.42,  +4.48
  1,     UK002B,       0,  0.040084, 2459436.587458800524,  40.20043,  25.52909,              103.18538,  43.66952,       103.18355,       43.66802,     40.20043,     +25.52909,      40.20280,      +25.52889,  4067300.21,  -688945.43,  4986239.17,      50.584027,       +0.121559,  106026.83,  152170.60,    2600.56,             2588.63,   206.64,  64877.87,           57472.09,      4.69,      2.50,           7.21,  +2.16,  +1.25
  2,     UK002B,       0,  0.080192, 2459436.587459264789,  40.15319,  25.10275,              103.62836,  43.38592,       103.62851,       43.38603,     40.15319,     +25.10275,      40.15335,      +25.10276,  4066466.98,  -689793.80,  4984430.41,      50.578514,       +0.107839,  104197.87,  150318.55,    4765.19,             4753.26,     4.11,  53969.97,           57472.09,     -0.37,     -0.20,           0.57,  +1.30,  +0.41
  3,     UK002B,       0,  0.120320, 2459436.587459729519,  40.12153,  24.65769,              104.07046,  43.07746,       104.08698,       43.09083,     40.12153,     +24.65769,      40.10231,      +24.65943,  4065621.39,  -690654.75,  4982594.81,      50.572914,       +0.093913,  102341.96,  148447.93,    6961.94,             6950.01,  -167.49,  54743.50,           57472.09,    -41.20,    -21.94,          64.86,  +0.83,  -0.03
  4,     UK002B,       0,  0.160420, 2459436.587460193317,  40.02484,  24.14952,              104.62592,  42.76039,       104.61013,       42.74768,     40.02484,     +24.14952,      40.04428,      +24.14785,  4064671.72,  -691621.69,  4980533.25,      50.566618,       +0.078288,  100257.85,  146359.09,    9429.09,             9417.16,   -67.02,  61525.07,           57892.90,     38.77,     20.70,          61.95,  +0.55,  -0.28
  5,     UK002B,       0,  0.200564, 2459436.587460658047,  39.97565,  23.61669,              105.15460,  42.39381,       105.14785,       42.38841,     39.97565,     +23.61669,      39.98447,      +23.61598,  4063712.29,  -692598.55,  4978450.53,      50.560253,       +0.062498,   98152.59,  144261.18,   11921.58,            11909.65,    56.18,  62088.70,           58613.10,     16.32,      8.71,          26.46,  +0.35,  -0.45
  6,     UK002B,       0,  0.240692, 2459436.587461122312,  39.91819,  23.10506,              105.66627,  42.04602,       105.65948,       42.04063,     39.91819,     +23.10506,      39.92718,      +23.10435,  4062814.80,  -693512.36,  4976502.25,      50.554292,       +0.047712,   96183.45,  142309.84,   14253.18,            14241.25,    19.44,  58104.07,           58815.65,     16.16,      8.63,          26.55,  +0.43,  -0.34
  7,     UK002B,       0,  0.280832, 2459436.587461587042,  39.87274,  22.58722,              106.16701,  41.68429,       106.17062,       41.68714,     39.87274,     +22.58722,      39.86970,      +22.58760,  4061932.53,  -694410.66,  4974587.03,      50.548427,       +0.033168,   94247.96,  140402.95,   16545.21,            16533.28,   -57.58,  57100.82,           58757.03,     -8.47,     -4.52,          14.10,  +0.69,  -0.05
  8,     UK002B,       0,  0.320940, 2459436.587462051306,  39.80869,  22.13301,              106.62446,  41.38006,       106.61685,       41.37408,     39.80869,     +22.13301,      39.81891,      +22.13222,  4061174.07,  -695182.91,  4972940.56,      50.543381,       +0.020638,   92584.21,  138771.88,   18515.62,            18503.68,  -454.34,  49127.49,           58087.89,     17.66,      9.43,          29.76,  +2.66,  +1.95
  0,     UK0038,       0,  0.061460, 2459436.587459009141,  41.94344,   6.80067,              115.37568,  27.15625,       115.37830,       27.15801,     41.94344,      +6.80067,      41.94074,       +6.80080,  4066894.10,  -689358.91,  4985357.61,      50.581340,       +0.114879,  105135.39,  223294.20,       0.00,             3643.65,     0.03,      0.00,           60292.53,    -10.46,     -4.54,          10.53,  +1.92,  +0.18
  1,     UK0038,       0,  0.101828, 2459436.587459476665,  41.92542,   6.36460,              115.66979,  26.80726,       115.67561,       26.81118,     41.92542,      +6.36460,      41.91929,       +6.36489,  4066043.95,  -690224.52,  4983512.09,      50.575713,       +0.100880,  103269.37,  221870.24,    2208.61,             5852.25,  -173.87,  54711.83,           60292.53,    -23.12,    -10.04,          23.43,  +1.22,  -0.51
  2,     UK0038,       0,  0.142296, 2459436.587459945120,  41.89153,   5.81124,              116.05054,  26.36976,       116.05015,       26.36950,     41.89153,      +5.81124,      41.89255,       +5.81122,  4064979.70,  -691308.11,  4981201.83,      50.568661,       +0.083391,  100933.72,  220108.45,    4973.41,             8617.05,   202.52,  68320.67,           60292.53,      1.53,      0.67,           1.56,  +0.88,  -0.83
  3,     UK0038,       0,  0.182676, 2459436.587460412178,  41.86889,   5.35897,              116.35501,  26.00864,       116.35434,       26.00819,     41.86889,      +5.35897,      41.87039,       +5.35894,  4064122.64,  -692180.74,  4979341.32,      50.562976,       +0.069269,   99052.99,  218703.01,    7199.96,            10843.60,    45.85,  55139.88,           60292.53,      2.63,      1.14,           2.70,  +0.78,  -0.92
  4,     UK0038,       0,  0.223080, 2459436.587460880168,  41.85141,   4.88000,              116.66950,  25.62189,       116.67419,       25.62503,     41.85141,      +4.88000,      41.84705,       +4.88023,  4063227.31,  -693092.35,  4977397.74,      50.557032,       +0.054519,   97088.50,  217249.99,    9525.93,            13169.58,   -12.80,  57567.96,           59500.63,    -18.29,     -7.95,          18.94,  +0.94,  -0.74
  5,     UK0038,       0,  0.263480, 2459436.587461347692,  41.82474,   4.40453,              116.98823,  25.24253,       116.98997,       25.24369,     41.82474,      +4.40453,      41.82387,       +4.40462,  4062349.41,  -693986.20,  4975491.99,      50.551199,       +0.040048,   95162.47,  215840.03,   11806.62,            15450.27,  -116.50,  56452.77,           58839.02,     -6.75,     -2.94,           7.04,  +1.42,  -0.25

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.