Orbital Analysis for matched events on 20210810_024622.752_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.73° Bg 38.34° Vg 58.09km/s
mass 0.00706g, abs. mag 0.6
Path Details
------------
start -1.39° 52.19° 105.96km
end   -1.45° 52.17° 97.24km

Orbit Details
-------------
Semimajor axis 9.93A.U., eccentricity 0.91, inclination 111.70°, Period 31.31Y, LA Sun 137.42°, last Perihelion 2021-07-15

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: 2459436.615541117266
Time: 2021-08-10 02:46:22.752532 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 37.13432 deg
 R.A. =  48.14707  Dec = +57.78713 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 37.13 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3982722.74 +/- 26.76 m
 Y =    -68557.66 +/- 39.91 m
 Z =   5099476.77 +/- 64.67 m
 Vx =    20487.45 +/- 651.79 m/s
 Vy =    23468.11 +/- 367.76 m/s
 Vz =    50274.25 +/- 604.08 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.073124e+02, -1.079193e+03, -1.779896e+03, +6.933123e+03, -3.624015e+03, -7.099960e+03
-1.079193e+03, +1.787661e+03, +2.530746e+03, -1.154602e+04, +7.891710e+03, +1.122129e+04
-1.779896e+03, +2.530746e+03, +4.712555e+03, -1.776998e+04, +1.070679e+04, +2.414402e+04
+6.933123e+03, -1.154602e+04, -1.776998e+04, +1.305189e+05, -7.917335e+04, -1.379071e+05
-3.624015e+03, +7.891710e+03, +1.070679e+04, -7.917335e+04, +9.393767e+04, +1.530781e+05
-7.099960e+03, +1.122129e+04, +2.414402e+04, -1.379071e+05, +1.530781e+05, +3.616464e+05

Timing offsets (from input data):
    UK000S: 0.000085 s
    UK001Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:46:22.752532 UTC
  Lon     = +-1.388059 +/- 0.0006 deg
  Lat     = +52.189323 +/- 0.0005 deg
  Lat geo = +52.005827 +/- 0.0005 deg
  Ht      =  105935.33 +/- 36.53 m

  JD dynamic   = 2459436.616341858171 
  LST apparent = 359.0138212904 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.87933 +/- 0.7753 deg
  Dec       = +58.21540 +/- 0.3059 deg
  Azimuth   =  57.87257 +/- 0.7692 deg
  Elevation = +61.60691 +/- 0.3652 deg
  Vavg      =  58.93071 +/- 0.6067 km/s
  Vinit     =  59.14380 +/- 0.5135 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.22124 +/- 0.7753 deg
  Dec       = +58.03243 +/- 0.3059 deg
  Azimuth   =  58.18453 +/- 0.7692 deg
  Elevation = +61.39733 +/- 0.3652 deg
  Vavg      =  59.04827 +/- 0.6067 km/s
  Vinit     =  59.26136 +/- 0.5135 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.94397 +/- 0.7759 deg
  Dec    = +58.09326 +/- 0.3076 deg
  Vg     =  58.09296 +/- 0.5227 km/s
  Vinf   =  59.14380 +/- 0.5135 km/s
  Zc     =  28.49106 +/- 0.3669 deg
  Zg     =  28.75183 +/- 0.3673 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.73031 +/- 0.6097 deg
  Bg     = +38.34122 +/- 0.1901 deg
  Vh     =  40.75451 +/- 0.5950 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  88.52275 +/- 1.1037 deg
  Bh     = +62.16390 +/- 0.3496 deg
  Vh_x   =  -0.49060 +/- 0.3386 km/s
  Vh_y   = -19.02375 +/- 0.4840 km/s
  Vh_z   = -36.03869 +/- 0.4429 km/s
Orbit:
  La Sun = 137.419988 +/- 0.0000 deg
  a      =   9.933686 +/- 36.8326 AU
  e      =   0.908053 +/- 0.0506
  i      = 111.697637 +/- 0.2306 deg
  peri   = 142.368609 +/- 0.7905 deg
  node   = 137.420222 +/- 0.0000 deg
  Pi     = 279.788831 +/- 0.7905 deg
  q      =   0.913374 +/- 0.0043 AU
  f      =  37.627809 +/- 0.7905 deg
  M      =   0.815379 +/- 0.6503 deg
  Q      =  18.953998 +/- 73.6663 AU
  n      =   0.031480 +/- 0.0253 deg/day
  T      =  31.308789 +/- 451.5214 years
  Last perihelion JD = 2459410.715082 (2021-07-15 05:09:43.093049) +/- 0.6586 days
  Tj     =   0.096014 +/- 0.2901
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.764124e-03, -9.861551e-05, +2.674676e-02, -1.866724e-09, +1.653170e-04, +2.774075e-05
q   , -9.861551e-05, +2.046935e-05, +1.016778e-03, -4.572920e-10, +5.333578e-05, +6.797545e-06
Tp  , +2.674676e-02, +1.016778e-03, +4.888111e-01, -7.491089e-08, +8.499847e-03, +1.113697e-03
node, -1.866724e-09, -4.572920e-10, -7.491089e-08, +8.497946e-14, -1.877401e-09, -1.259790e-09
peri, +1.653170e-04, +5.333578e-05, +8.499847e-03, -1.877401e-09, +2.170709e-04, +2.791012e-05
i   , +2.774075e-05, +6.797545e-06, +1.113697e-03, -1.259790e-09, +2.791012e-05, +1.867601e-05

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: UK001Z
  Avg. res. = 6.125e-06 s
  Stddev    = 2.47e-03 s

Begin point on the trajectory:
  Lon =    -1.387884 +/- 0.0007 deg
  Lat =    52.189391 +/- 0.0006 deg
  Ht  = 105961.94 +/- 47.40 m
End point on the trajectory:
  Lon =    -1.446048 +/- 0.0005 deg
  Lat =    52.167183 +/- 0.0007 deg
  Ht  = 97241.79 +/- 36.73 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   105530.46,    97241.79,          0.014575,     30.71,     35.04,              39.86, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_024622_559_0580608.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   105961.94,    97518.17,          0.008876,     31.57,      6.24,              34.18, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210810_024620_246_0577280.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,     UK000S,       0,  0.002981, 2459436.615541155450, 150.95129,  71.73148,               10.13080,  34.14174,        10.14295,       34.13509,    150.95129,     +71.73148,     150.92882,      +71.72169,  3982563.32,   -68740.28,  5099085.55,      52.188294,       -1.390739,  105530.46,  184803.79,       0.00,              460.24,   253.58,      0.00,           58475.92,     29.25,     25.65,          43.42,  +3.50,  +2.17
  1,     UK000S,       0,  0.043297, 2459436.615541622043, 152.03037,  71.50648,                9.84018,  33.81262,         9.86927,       33.79671,    152.03037,     +71.50648,     151.97601,      +71.48329,  3981855.24,   -69551.37,  5097348.00,      52.183722,       -1.402750,  103732.34,  183227.29,    2044.10,             2504.34,   -86.76,  50701.92,           58475.92,     69.62,     60.98,         104.18,  +1.95,  +0.64
  2,     UK000S,       0,  0.083685, 2459436.615542089567, 153.18995,  71.19425,                9.54490,  33.39489,         9.54739,       33.39354,    153.18995,     +71.19425,     153.18558,      +71.19229,  3981028.85,   -70497.99,  5095320.12,      52.178381,       -1.416746,  101633.95,  181399.60,    4429.74,             4889.97,   -89.82,  59068.02,           58475.92,      5.91,      5.18,           8.94,  +0.98,  -0.31
  3,     UK000S,       0,  0.124121, 2459436.615542557556, 154.49440,  70.84683,                9.19529,  32.93120,         9.18684,       32.93580,    154.49440,     +70.84683,     154.51117,      +70.85338,  3980112.36,   -71547.82,  5093071.13,      52.172451,       -1.432257,   99306.98,  179388.25,    7075.51,             7535.74,   164.41,  65431.01,           58475.92,    -19.87,    -17.44,          30.40,  +0.91,  -0.36
  4,     UK000S,       0,  0.164509, 2459436.615543025080, 155.67183,  70.53738,                8.86404,  32.51931,         8.86274,       32.52002,    155.67183,     +70.53738,     155.67504,      +70.53837,  3979298.90,   -72479.63,  5091074.97,      52.167183,       -1.446048,   97241.79,  177616.90,    9423.83,             9884.07,   124.04,  58144.14,           59125.39,     -3.04,     -2.66,           4.69,  +1.90,  +0.65
  0,     UK001Z,       0,  0.000000, 2459436.615541117266, 112.55840,  55.50668,               35.97514,  29.19555,        35.98281,       29.19342,    112.55840,     +55.50668,     112.55194,      +55.50069,  3982733.22,   -68545.65,  5099502.49,      52.189391,       -1.387884,  105961.94,  211672.56,       0.00,               30.26,    -0.08,      0.00,           59712.71,      5.02,     25.44,          25.27,  +3.91,  +2.28
  1,     UK001Z,       0,  0.040320, 2459436.615541583858, 113.11921,  55.31719,               35.84034,  28.84433,        35.85164,       28.84119,    113.11921,     +55.31719,     113.10973,      +55.30838,  3981884.63,   -69517.71,  5097420.11,      52.183912,       -1.402245,  103806.97,  209630.58,    2449.75,             2419.50,     4.48,  60757.79,           59712.71,      7.37,     37.27,          37.39,  +2.41,  +0.80
  2,     UK001Z,       0,  0.080652, 2459436.615542050917, 113.68941,  55.11169,               35.70895,  28.47723,        35.71638,       28.47516,    113.68941,     +55.11169,     113.68334,      +55.10591,  3981020.31,   -70507.78,  5095299.15,      52.178325,       -1.416876,  101612.25,  207560.04,    4944.91,             4914.65,   114.25,  61865.35,           59712.71,      4.81,     24.33,          24.64,  +1.91,  +0.32
  3,     UK001Z,       0,  0.120960, 2459436.615542517044, 114.21781,  54.92937,               35.57780,  28.14306,        35.59268,       28.13893,    114.21781,     +54.92937,     114.20535,      +54.91781,  3980241.26,   -71400.17,  5093387.43,      52.173286,       -1.430084,   99634.23,  205701.36,    7193.89,             7163.63,   -20.74,  55794.96,           59712.71,      9.59,     48.43,          49.51,  +1.92,  +0.35
  4,     UK001Z,       0,  0.161292, 2459436.615542984102, 114.76707,  54.70932,               35.45992,  27.77195,        35.45892,       27.77222,    114.76707,     +54.70932,     114.76862,      +54.71009,  3979407.76,   -72354.92,  5091342.13,      52.167889,       -1.444210,   97518.17,  203722.03,    9600.04,             9569.78,     0.02,  59658.55,           59381.98,     -0.64,     -3.23,           3.34,  +2.35,  +0.80

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.