Orbital Analysis for matched events on 20210810_025121.965_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 59.76° Bg 37.44° Vg 62.48km/s
mass 0.00164g, abs. mag 2.2
Path Details
------------
start -1.63° 50.82° 107.02km
end   -1.70° 50.79° 97.01km

Orbit Details
-------------
Semimajor axis -5.44A.U., eccentricity 1.18, inclination 116.66°, Period 1000000000.00Y, LA Sun 137.42°, 

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: 2459436.619004234672
Time: 2021-08-10 02:51:21.965876 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK0038
 Convergence angle = 54.32560 deg
 R.A. =  45.09663  Dec = +56.15108 deg

Best intersection: Stations UK0001 and UK0038 with Qconv = 54.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4105546.11 +/- 90.71 m
 Y =      1244.49 +/- 20.45 m
 Z =   5003532.49 +/- 112.18 m
 Vx =    25287.48 +/- 744.29 m/s
 Vy =    24534.94 +/- 726.72 m/s
 Vz =    52780.11 +/- 912.88 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.649425e+03, +5.820894e+02, +8.905112e+02, +5.433978e+03, +6.010122e+03, -2.432187e+03
+5.820894e+02, +7.576394e+02, +9.597212e+02, -3.769289e+03, -1.372532e+01, -3.110404e+03
+8.905112e+02, +9.597212e+02, +1.235217e+03, -3.713411e+03, +7.496577e+02, -3.945441e+03
+5.433978e+03, -3.769289e+03, -3.713411e+03, +7.646876e+04, +4.178441e+04, +1.518003e+04
+6.010122e+03, -1.372532e+01, +7.496577e+02, +4.178441e+04, +3.015175e+04, -1.564135e+02
-2.432187e+03, -3.110404e+03, -3.945441e+03, +1.518003e+04, -1.564135e+02, +1.277092e+04

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK0038: -0.001255 s

Reference point on the trajectory:
  Time: 2021-08-10 02:51:21.965876 UTC
  Lon     = +-1.634648 +/- 0.0003 deg
  Lat     = +50.815592 +/- 0.0002 deg
  Lat geo = +50.630110 +/- 0.0002 deg
  Ht      =  106935.39 +/- 142.94 m

  JD dynamic   = 2459436.619804975577 
  LST apparent = 0.0173676929 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  44.13465 +/- 0.7669 deg
  Dec       = +56.27459 +/- 0.1425 deg
  Azimuth   =  60.74110 +/- 0.3380 deg
  Elevation = +63.70322 +/- 0.4219 deg
  Vavg      =  56.39414 +/- 0.5677 km/s
  Vinit     =  63.45991 +/- 0.9923 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.48210 +/- 0.7669 deg
  Dec       = +56.11789 +/- 0.1425 deg
  Azimuth   =  61.03656 +/- 0.3380 deg
  Elevation = +63.49189 +/- 0.4219 deg
  Vavg      =  56.51045 +/- 0.5677 km/s
  Vinit     =  63.57622 +/- 0.9923 km/s
Radiant (geocentric, J2000):
  R.A.   =  44.10533 +/- 0.7841 deg
  Dec    = +56.16426 +/- 0.1435 deg
  Vg     =  62.48194 +/- 1.0085 km/s
  Vinf   =  63.45991 +/- 0.9923 km/s
  Zc     =  26.38790 +/- 0.4222 deg
  Zg     =  26.59651 +/- 0.4330 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  59.76273 +/- 0.5169 deg
  Bg     = +37.44236 +/- 0.2041 deg
  Vh     =  43.74045 +/- 0.9112 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  75.83189 +/- 1.7350 deg
  Bh     = +60.28275 +/- 0.2133 deg
  Vh_x   =  -5.30730 +/- 0.7295 km/s
  Vh_y   = -21.02346 +/- 0.4062 km/s
  Vh_z   = -37.98780 +/- 0.7482 km/s
Orbit:
  La Sun = 137.423310 +/- nan deg
  a      =  -5.442801 +/- 108.2367 AU
  e      =   1.176670 +/- 0.0834
  i      = 116.659068 +/- 0.5687 deg
  peri   = 154.799612 +/- 2.4605 deg
  node   = 137.423258 +/- 0.0000 deg
  Pi     = 292.222870 +/- 2.4605 deg
  q      =   0.961582 +/- 0.0083 AU
  f      =  25.196712 +/- 2.4605 deg
  M      =        nan +/- nan deg
  Q      = -11.847185 +/- 216.4718 AU
  n      =   0.077619 +/- 0.0289 deg/day
  T      = 1000000000.000000 +/- 399999970.8418 years
  Last perihelion JD = NaN 
  Tj     =  -1.525259 +/- 0.4776
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.274168e-04, +2.438438e-05, +4.770864e-03, -2.985480e-09, +1.128716e-04, +4.246849e-05
q   , +2.438438e-05, +5.057532e-06, +9.649515e-04, -8.456893e-10, +2.309500e-05, +1.204250e-05
Tp  , +4.770864e-03, +9.649515e-04, +1.855322e-01, -1.482226e-07, +4.424703e-03, +2.110137e-03
node, -2.985480e-09, -8.456893e-10, -1.482226e-07, +2.624577e-13, -3.693149e-09, -3.742278e-09
peri, +1.128716e-04, +2.309500e-05, +4.424703e-03, -3.693149e-09, +1.056972e-04, +5.258310e-05
i   , +4.246849e-05, +1.204250e-05, +2.110137e-03, -3.742278e-09, +5.258310e-05, +5.335974e-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: UK0001
  Avg. res. = 1.301e-05 s
  Stddev    = 3.61e-03 s

Begin point on the trajectory:
  Lon =    -1.634157 +/- 0.0002 deg
  Lat =    50.815766 +/- 0.0001 deg
  Ht  = 107017.00 +/- 140.39 m
End point on the trajectory:
  Lon =    -1.695286 +/- 0.0002 deg
  Lat =    50.794340 +/- 0.0001 deg
  Ht  = 97006.60 +/- 98.94 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   107017.00,    97006.60,          0.010938,     18.91,      4.68,              24.27, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210810_025114_082_0591616.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   105952.59,    97766.95,          0.022723,     39.41,     33.76,              40.09, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_025115_186_0584448.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,     UK0001,       0,  0.000000, 2459436.619004234672,   8.11525,  48.05213,              114.46103,  83.95737,       114.51122,       83.94605,      8.11525,     +48.05213,       8.12576,      +48.04179,  4105582.38,     1279.68,  5003608.20,      50.815766,       -1.634157,  107017.00,  107582.72,       0.00,               91.03,   808.71,      0.00,           56222.78,     -5.63,     22.78,          44.99,  +4.27,  +4.11
  1,     UK0001,       0,  0.039632, 2459436.619004693348,   7.48933,  47.75250,              119.08668,  84.14795,       119.08266,       84.14905,      7.48933,     +47.75250,       7.48850,      +47.75347,  4104634.33,      359.84,  5001629.42,      50.811210,       -1.647158,  104884.09,  105399.95,    2379.17,             2288.15,   490.79,  60031.62,           56222.78,      0.52,     -2.10,           4.22,  +2.43,  +2.32
  2,     UK0001,       0,  0.079304, 2459436.619005152490,   6.93943,  47.48484,              123.41814,  84.28438,       123.38219,       84.29675,      6.93943,     +47.48484,       6.92880,      +47.49537,  4103826.46,     -423.98,  4999943.24,      50.807323,       -1.658266,  103066.68,  103546.78,    4406.55,             4315.52,     0.58,  51103.35,           56222.78,      5.57,    -22.59,          46.34,  +1.78,  +1.70
  3,     UK0001,       0,  0.118900, 2459436.619005610701,   6.25994,  47.18510,              128.80025,  84.43362,       128.80928,       84.42903,      6.25994,     +47.18510,       6.26444,      +47.18130,  4102891.59,    -1331.04,  4997991.97,      50.802822,       -1.671100,  100963.70,  101410.94,    6752.65,             6661.62,  -166.08,  59251.05,           56222.78,     -1.99,      8.03,          16.83,  +1.49,  +1.46
  4,     UK0001,       0,  0.158424, 2459436.619006068446,   5.46651,  46.81727,              135.52680,  84.53739,       135.54139,       84.51817,      5.46651,     +46.81727,       5.48376,      +46.80170,  4101825.72,    -2365.19,  4995767.28,      50.797685,       -1.685715,   98566.24,   98987.81,    9427.49,             9336.46,     0.58,  67676.40,           58638.76,     -8.02,     32.31,          69.36,  +1.70,  +1.72
  5,     UK0001,       0,  0.198112, 2459436.619006527588,   4.95597,  46.54276,              140.20289,  84.53763,       140.20277,       84.53644,      4.95597,     +46.54276,       4.95783,      +46.54180,  4101132.29,    -3037.97,  4994319.96,      50.794340,       -1.695286,   97006.60,   97418.31,   11167.67,            11076.64,  -777.85,  43846.33,           57213.05,     -0.49,      1.97,           4.30,  +3.42,  +3.48
  0,     UK0038,       0,  0.015799, 2459436.619004259817,  24.22936,  19.17282,              139.32981,  52.30074,       139.37646,       52.32697,     24.22936,     +19.17282,      24.19015,      +19.18421,  4105109.27,      820.65,  5002620.72,      50.813493,       -1.640571,  105952.59,  133001.48,       0.00,             1096.26,   811.34,      0.00,           58103.36,    -58.58,    -68.26,         139.50,  +3.76,  +3.14
  1,     UK0038,       0,  0.056107, 2459436.619004726410,  24.03542,  18.74078,              139.90113,  51.98869,       139.89565,       51.98562,     24.03542,     +18.74078,      24.04019,      +18.73944,  4104444.72,      175.88,  5001233.68,      50.810298,       -1.649738,  104457.53,  131723.31,    1667.71,             2763.97,   -78.89,  41374.17,           58103.36,      6.81,      7.96,          16.40,  +2.88,  +2.28
  2,     UK0038,       0,  0.096647, 2459436.619005195331,  23.78557,  18.01059,              140.74337,  51.42565,       140.72879,       51.41758,     23.78557,     +18.01059,      23.79814,      +18.00703,  4103378.61,     -858.51,  4999008.47,      50.805168,       -1.664350,  102059.22,  129694.29,    4343.18,             5439.43,    23.91,  65995.68,           58103.36,     17.89,     20.91,          43.77,  +2.31,  +1.75
  3,     UK0038,       0,  0.137183, 2459436.619005664717,  23.52994,  17.28011,              141.57583,  50.85979,       141.54380,       50.84223,     23.52994,     +17.28011,      23.55728,      +17.27228,  4102341.79,    -1864.47,  4996844.43,      50.800173,       -1.678572,   99727.02,  127743.93,    6945.09,             8041.35,    53.42,  64187.86,           58103.36,     38.79,     45.40,          96.42,  +2.29,  +1.76
  4,     UK0038,       0,  0.177663, 2459436.619006133173,  23.33525,  16.64117,              142.24982,  50.34993,       142.23320,       50.34089,     23.33525,     +16.64117,      23.34985,      +16.63711,  4101470.35,    -2709.98,  4995025.56,      50.795971,       -1.690558,   97766.95,  126122.23,    9132.01,            10228.27,  -328.52,  54024.69,           58159.08,     19.93,     23.32,          50.17,  +3.56,  +3.06

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.