Orbital Analysis for matched events on 20210813_225032.971_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 69.92° Bg 35.56° Vg 58.02km/s
mass 0.02733g, abs. mag -1.4
Path Details
------------
start -5.14° 53.86° 95.82km
end   -5.22° 53.79° 89.49km

Orbit Details
-------------
Semimajor axis 5.64A.U., eccentricity 0.85, inclination 114.35°, Period 13.41Y, LA Sun 141.10°, last Perihelion 2021-07-12

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: 2459440.451770499349
Time: 2021-08-13 22:50:32.971144 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK0027
 Convergence angle = 21.51626 deg
 R.A. =  59.08618  Dec = +57.49722 deg

Best intersection: Stations UK000Y and UK0027 with Qconv = 21.52 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1918261.22 +/- 116.39 m
 Y =  -3310641.45 +/- 25.53 m
 Z =   5205076.69 +/- 61.80 m
 Vx =    16364.55 +/- 1169.40 m/s
 Vy =    27301.96 +/- 414.52 m/s
 Vz =    49765.93 +/- 873.59 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.500497e+04, +1.676744e+03, -4.294613e+03, +1.217037e+05, +1.210264e+04, -3.169298e+04
+1.676744e+03, +6.776110e+02, +2.069140e+02, +1.638272e+04, +5.591293e+03, +5.161998e+02
-4.294613e+03, +2.069140e+02, +4.165260e+03, -3.287372e+04, +2.723732e+03, +3.343764e+04
+1.217037e+05, +1.638272e+04, -3.287372e+04, +1.252299e+06, +1.499712e+05, -3.523640e+05
+1.210264e+04, +5.591293e+03, +2.723732e+03, +1.499712e+05, +6.383536e+04, +3.309182e+04
-3.169298e+04, +5.161998e+02, +3.343764e+04, -3.523640e+05, +3.309182e+04, +3.971374e+05

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK0027: 0.000672 s

Reference point on the trajectory:
  Time: 2021-08-13 22:50:32.971144 UTC
  Lon     = +-5.136555 +/- 0.0016 deg
  Lat     = +53.861272 +/- 0.0006 deg
  Lat geo = +53.680516 +/- 0.0006 deg
  Ht      =   95814.97 +/- 37.14 m

  JD dynamic   = 2459440.452571240254 
  LST apparent = 300.0889814853 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  59.06190 +/- 1.4197 deg
  Dec       = +57.39665 +/- 0.7525 deg
  Azimuth   =  33.67080 +/- 1.2633 deg
  Elevation = +31.76306 +/- 0.1948 deg
  Vavg      =  57.16045 +/- 0.1946 km/s
  Vinit     =  59.07490 +/- 0.5220 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  58.82048 +/- 1.4197 deg
  Dec       = +57.19742 +/- 0.7525 deg
  Azimuth   =  33.93486 +/- 1.2633 deg
  Elevation = +31.68399 +/- 0.1948 deg
  Vavg      =  57.29248 +/- 0.1946 km/s
  Vinit     =  59.20693 +/- 0.5220 km/s
Radiant (geocentric, J2000):
  R.A.   =  59.26850 +/- 1.4187 deg
  Dec    = +56.87661 +/- 0.7528 deg
  Vg     =  58.02106 +/- 0.5318 km/s
  Vinf   =  59.07490 +/- 0.5220 km/s
  Zc     =  58.38743 +/- 0.1937 deg
  Zg     =  58.96365 +/- 0.1998 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  69.92434 +/- 1.1740 deg
  Bg     = +35.56102 +/- 0.5272 deg
  Vh     =  39.92757 +/- 0.6093 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  95.41200 +/- 2.8451 deg
  Bh     = +57.68470 +/- 0.3533 deg
  Vh_x   =   2.01314 +/- 1.0477 km/s
  Vh_y   = -21.24926 +/- 0.3672 km/s
  Vh_z   = -33.74356 +/- 0.5425 km/s
Orbit:
  La Sun = 141.102493 +/- 0.0000 deg
  a      =   5.644160 +/- 0.8181 AU
  e      =   0.847815 +/- 0.0469
  i      = 114.352673 +/- 1.1567 deg
  peri   = 131.944236 +/- 2.4255 deg
  node   = 141.100955 +/- 0.0001 deg
  Pi     = 273.045191 +/- 2.4255 deg
  q      =   0.858954 +/- 0.0132 AU
  f      =  48.051628 +/- 2.4256 deg
  M      =   2.351875 +/- 1.5245 deg
  Q      =  10.429365 +/- 1.6408 AU
  n      =   0.073503 +/- 0.0412 deg/day
  T      =  13.409098 +/- 2.5113 years
  Last perihelion JD = 2459408.455580 (2021-07-12 22:56:02.072597) +/- 1.5155 days
  Tj     =   0.466621 +/- 0.2767
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.422508e-03, -1.478382e-04, +3.858174e-02, +3.861880e-08, +3.111458e-04, -4.704958e-04
q   , -1.478382e-04, +1.920199e-04, +1.621316e-02, -2.229372e-08, +5.745239e-04, +2.725138e-04
Tp  , +3.858174e-02, +1.621316e-02, +2.502426e+00, -1.412242e-06, +6.524843e-02, +1.728727e-02
node, +3.861880e-08, -2.229372e-08, -1.412242e-06, +3.019654e-12, -5.977343e-08, -3.683699e-08
peri, +3.111458e-04, +5.745239e-04, +6.524843e-02, -5.977343e-08, +1.966220e-03, +7.309813e-04
i   , -4.704958e-04, +2.725138e-04, +1.728727e-02, -3.683699e-08, +7.309813e-04, +4.494258e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 71.677320
 a2 = -0.000001

Mean time residuals from time vs. length:
  Station with reference time: UK000Y
  Avg. res. = 4.186e-05 s
  Stddev    = 6.47e-03 s

Begin point on the trajectory:
  Lon =    -5.136438 +/- 0.0015 deg
  Lat =    53.861376 +/- 0.0006 deg
  Ht  = 95823.71 +/- 17.99 m
End point on the trajectory:
  Lon =    -5.222292 +/- 0.0017 deg
  Lat =    53.785774 +/- 0.0006 deg
  Ht  = 89486.26 +/- 16.33 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,  56.122169,   0.000000,    95823.71,    89486.26,          0.017452,     33.39,     72.50,              90.81, 1.0000,    True,    True, {"ff_name": "FF_UK000Y_20210813_225026_237_0230400.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.004164,  60.897177,    93551.53,    90131.13,          0.002399,     10.43,     10.02,              65.07, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210813_225025_794_0236032.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,     UK000Y,       0,  0.000000, 2459440.451770499349, 208.17186,  29.67809,              292.69624,  20.33113,       292.71053,       20.31149,    208.17186,     +29.67809,     208.14556,      +29.67151,  1918265.81, -3310633.78,  5205090.68,      53.861376,       -5.136438,   95823.71,  261990.23,       0.00,               16.60,     0.72,      0.00,           59437.92,     98.78,     45.42,          85.60,  +2.81,  +0.72
  1,     UK000Y,       0,  0.040100, 2459440.451770963613, 208.28500,  29.24700,              292.32254,  20.06181,       292.32233,       20.06210,    208.28500,     +29.24700,     208.28555,      +29.24710,  1917708.02, -3311564.39,  5203394.36,      53.848761,       -5.150817,   94763.94,  261976.78,    2013.62,             1997.01,  -387.77,  50214.90,           59437.92,     -1.43,     -0.66,           1.24,  +0.70,  -1.39
  2,     UK000Y,       0,  0.080212, 2459440.451771427877, 208.43062,  28.73175,              291.86928,  19.74546,       291.85759,       19.76143,    208.43062,     +28.73175,     208.45222,      +28.73707,  1917037.65, -3312682.80,  5201355.74,      53.833593,       -5.168059,   93490.90,  261979.21,    4433.57,             4416.97,  -337.43,  60329.97,           59437.92,    -80.52,    -37.10,          69.80,  +0.37,  -1.72
  3,     UK000Y,       0,  0.120304, 2459440.451771891676, 208.62986,  28.16535,              291.34374,  19.41937,       291.34030,       19.42405,    208.62986,     +28.16535,     208.63657,      +28.16690,  1916288.29, -3313933.00,  5199076.88,      53.816627,       -5.187306,   92068.60,  262007.33,    7138.71,             7122.11,    -0.72,  67473.27,           59437.92,    -23.63,    -10.88,          20.48,  +0.08,  -2.01
  4,     UK000Y,       0,  0.160396, 2459440.451772355940, 208.79275,  27.65581,              290.88348,  19.11676,       290.88005,       19.12141,    208.79275,     +27.65581,     208.79958,      +27.65735,  1915618.84, -3315049.89,  5197041.01,      53.801462,       -5.204513,   90798.63,  262057.23,    9555.40,             9538.80,    47.54,  60278.67,           60439.12,    -23.53,    -10.84,          20.39,  -0.10,  -2.19
  5,     UK000Y,       0,  0.200512, 2459440.451772820204, 208.93460,  27.12285,              290.42359,  18.78402,       290.40620,       18.80748,    208.93460,     +27.12285,     208.96644,      +27.13060,  1914926.67, -3316204.67,  5194936.08,      53.785774,       -5.222292,   89486.26,  262132.00,   12054.07,            12037.47,   176.36,  62286.06,           60989.20,   -119.09,    -54.89,         103.18,  +0.67,  -1.42
  0,     UK0027,       0,  0.070229, 2459440.451771228574, 170.98932,  44.01709,              326.48427,  14.07866,       326.48389,       14.07936,    170.98932,     +44.01709,     170.99050,      +44.01753,  1917069.59, -3312629.52,  5201452.86,      53.834316,       -5.167174,   93551.53,  348162.03,       0.00,             4301.69,   137.02,      0.00,           54225.10,     -3.34,     -3.47,           2.85,  +1.78,  -0.93
  1,     UK0027,       0,  0.110249, 2459440.451771691907, 171.25950,  43.72680,              326.16454,  13.91754,       326.16431,       13.91798,    171.25950,     +43.72680,     171.26050,      +43.72707,  1916418.76, -3313715.34,  5199473.63,      53.819582,       -5.183913,   92316.17,  347139.38,    2349.45,             6651.14,   122.29,  58706.87,           54225.10,     -2.08,     -2.16,           1.78,  +1.59,  -1.11
  2,     UK0027,       0,  0.150269, 2459440.451772154775, 171.50894,  43.45552,              325.86689,  13.76687,       325.86672,       13.76717,    171.50894,     +43.45552,     171.50993,      +43.45571,  1915815.55, -3314721.70,  5197639.23,      53.805919,       -5.199434,   91171.73,  346203.62,    4526.98,             8828.67,   -64.35,  54411.04,           54225.10,     -1.44,     -1.49,           1.23,  +0.70,  -2.00
  3,     UK0027,       0,  0.190289, 2459440.451772618107, 171.73006,  43.20445,              325.59707,  13.62478,       325.59483,       13.62893,    171.73006,     +43.20445,     171.73620,      +43.20703,  1915266.84, -3315637.15,  5195970.56,      53.793485,       -5.213565,   90131.13,  345362.76,    6507.78,            10809.48,  -447.73,  49495.39,           54225.10,    -19.60,    -20.39,          16.89,  +4.25,  +1.56

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.