Orbital Analysis for matched events on 20210813_232906.267_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.42° Bg 38.13° Vg 59.75km/s
mass 0.02030g, abs. mag -0.3
Path Details
------------
start 1.10° 52.43° 109.65km
end   0.99° 52.36° 100.26km

Orbit Details
-------------
Semimajor axis 65.58A.U., eccentricity 0.99, inclination 113.88°, Period 531.11Y, LA Sun 141.13°, last Perihelion 2021-07-24

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: 2459440.478544765152
Time: 2021-08-13 23:29:06.267709 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 44.58055 deg
 R.A. =  49.56791  Dec = +58.14822 deg

Best intersection: Stations UK002F and UK002K with Qconv = 44.58 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2850992.06 +/- 112.94 m
 Y =  -2754514.83 +/- 91.96 m
 Z =   5118742.77 +/- 134.27 m
 Vx =    20549.64 +/- 725.05 m/s
 Vy =    24302.71 +/- 603.32 m/s
 Vz =    51767.57 +/- 1140.26 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.059554e+03, +3.752272e+03, +4.906683e+03, +1.644152e+04, +2.741918e+03, -1.234591e+04
+3.752272e+03, +3.246363e+03, +3.843181e+03, +7.307861e+03, +6.093880e+03, -1.629461e+03
+4.906683e+03, +3.843181e+03, +5.085683e+03, +1.148806e+04, +3.212688e+03, -6.632675e+03
+1.644152e+04, +7.307861e+03, +1.148806e+04, +9.170684e+04, +2.229400e+02, -2.167525e+04
+2.741918e+03, +6.093880e+03, +3.212688e+03, +2.229400e+02, +5.700086e+04, +7.667736e+04
-1.234591e+04, -1.629461e+03, -6.632675e+03, -2.167525e+04, +7.667736e+04, +1.923248e+05

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK002K: -0.001657 s

Reference point on the trajectory:
  Time: 2021-08-13 23:29:06.267709 UTC
  Lon     = ++1.095367 +/- 0.0021 deg
  Lat     = +52.426532 +/- 0.0006 deg
  Lat geo = +52.243529 +/- 0.0006 deg
  Ht      =  109546.13 +/- 116.90 m

  JD dynamic   = 2459440.479345506057 
  LST apparent = 315.9860289973 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.78315 +/- 0.4137 deg
  Dec       = +58.41717 +/- 0.3382 deg
  Azimuth   =  43.69479 +/- 0.4997 deg
  Elevation = +40.84616 +/- 0.1408 deg
  Vavg      =  59.00407 +/- 0.5149 km/s
  Vinit     =  60.76834 +/- 1.1145 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.74899 +/- 0.4137 deg
  Dec       = +58.18606 +/- 0.3382 deg
  Azimuth   =  43.95417 +/- 0.4997 deg
  Elevation = +40.72303 +/- 0.1408 deg
  Vavg      =  59.15563 +/- 0.5149 km/s
  Vinit     =  60.91991 +/- 1.1145 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.03821 +/- 0.4233 deg
  Dec    = +58.07464 +/- 0.3341 deg
  Vg     =  59.74665 +/- 1.1333 km/s
  Vinf   =  60.76834 +/- 1.1145 km/s
  Zc     =  49.28628 +/- 0.1405 deg
  Zg     =  49.73194 +/- 0.1356 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.41803 +/- 0.3856 deg
  Bg     = +38.13334 +/- 0.2647 deg
  Vh     =  41.68770 +/- 0.9380 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.82415 +/- 1.5423 deg
  Bh     = +62.25103 +/- 0.7485 deg
  Vh_x   =  -2.08811 +/- 0.6425 km/s
  Vh_y   = -19.29709 +/- 0.8303 km/s
  Vh_z   = -36.89345 +/- 0.6018 km/s
Orbit:
  La Sun = 141.128208 +/- -0.0000 deg
  a      =  65.582639 +/- 22.5069 AU
  e      =   0.985537 +/- 0.0845
  i      = 113.880677 +/- 0.9985 deg
  peri   = 150.651105 +/- 1.6779 deg
  node   = 141.127117 +/- 0.0001 deg
  Pi     = 291.778222 +/- 1.6778 deg
  q      =   0.948534 +/- 0.0048 AU
  f      =  29.344897 +/- 1.6779 deg
  M      =   0.037870 +/- nan deg
  Q      = 130.216744 +/- 45.0171 AU
  n      =   0.001856 +/- 0.0133 deg/day
  T      = 531.109374 +/- 489897882.4603 years
  Last perihelion JD = 2459420.072504 (2021-07-24 13:44:24.316736) +/- 0.6009 days
  Tj     =  -0.407716 +/- 0.4891
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.589787e-03, -6.772823e-06, +1.696640e-02, -6.975043e-09, +2.043165e-04, +9.168387e-05
q   , -6.772823e-06, +9.039342e-06, +1.329335e-03, -7.374976e-10, +3.742180e-05, +9.669770e-06
Tp  , +1.696640e-02, +1.329335e-03, +3.991992e-01, -1.925615e-07, +8.138799e-03, +2.527245e-03
node, -6.975043e-09, -7.374976e-10, -1.925615e-07, +2.222255e-13, -4.141932e-09, -2.919747e-09
peri, +2.043165e-04, +3.742180e-05, +8.138799e-03, -4.141932e-09, +1.890219e-04, +5.433862e-05
i   , +9.168387e-05, +9.669770e-06, +2.527245e-03, -2.919747e-09, +5.433862e-05, +3.836197e-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: UK002F
  Avg. res. = 1.172e-05 s
  Stddev    = 3.42e-03 s

Begin point on the trajectory:
  Lon =     1.096529 +/- 0.0017 deg
  Lat =    52.427275 +/- 0.0004 deg
  Ht  = 109646.70 +/- 87.65 m
End point on the trajectory:
  Lon =     0.987040 +/- 0.0016 deg
  Lat =    52.357712 +/- 0.0003 deg
  Ht  = 100260.01 +/- 83.04 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   109646.70,   100260.01,          0.010909,     23.51,     29.89,              22.70, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_232901_247_0251648.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   109325.09,   101660.64,          0.008328,     27.79,      3.56,              72.88, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_232905_347_0293376.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,     UK002F,       0,  0.000000, 2459440.478544765152,  38.24672,  36.60743,               68.84173,  31.01477,        68.83852,       31.00974,     38.24672,     +36.60743,      38.25360,      +36.60590,  2851044.05, -2754453.33,  5118873.76,      52.427275,       +1.096529,  109646.70,  207926.61,       0.00,              153.77,   347.36,      0.00,           59969.31,     16.34,     12.87,          20.64,  +3.07,  +1.48
  1,     UK002F,       0,  0.040088, 2459440.478545228951,  38.15247,  36.33795,               69.12852,  30.88111,        69.12512,       30.87581,     38.15247,     +36.33795,      38.15989,      +36.33634,  2850172.58, -2755483.97,  5116678.38,      52.414817,       +1.076897,  107961.43,  205549.11,    2577.09,             2423.32,   180.83,  64285.74,           59969.31,     17.07,     13.45,          21.81,  +2.17,  +0.61
  2,     UK002F,       0,  0.080180, 2459440.478545693215,  38.08378,  36.08284,               69.38612,  30.74253,        69.39132,       30.75059,     38.08378,     +36.08284,      38.07311,      +36.08528,  2849378.32, -2756423.29,  5114677.52,      52.403455,       +1.058991,  106425.97,  203385.79,    4925.84,             4772.07,    93.26,  58584.03,           59969.31,    -25.73,    -20.24,          33.20,  +1.88,  +0.34
  3,     UK002F,       0,  0.120268, 2459440.478546157014,  38.00869,  35.82864,               69.64671,  30.60806,        69.65742,       30.62458,     38.00869,     +35.82864,      37.98669,      +35.83363,  2848598.83, -2757345.14,  5112713.87,      52.392297,       +1.041415,  104919.53,  201266.71,    7230.90,             7077.13,   -37.76,  57500.14,           59969.31,    -52.24,    -41.07,          68.10,  +2.06,  +0.54
  4,     UK002F,       0,  0.160328, 2459440.478546620812,  37.89840,  35.59428,               69.91373,  30.50770,        69.91112,       30.50368,     37.89840,     +35.59428,      37.90454,      +35.59306,  2847868.52, -2758208.82,  5110874.13,      52.381835,       +1.024939,  103508.56,  199284.62,    9390.51,             9236.74,  -312.53,  53909.39,           58465.14,     12.58,      9.91,          16.58,  +1.75,  +0.25
  5,     UK002F,       0,  0.200428, 2459440.478547085077,  37.78596,  35.27682,               70.25055,  30.35014,        70.24570,       30.34271,     37.78596,     +35.27682,      37.79687,      +35.27458,  2846925.39, -2759324.21,  5108498.23,      52.368315,       +1.003710,  101687.00,  196733.33,   12179.52,            12025.75,    39.66,  69551.20,           59619.56,     22.99,     18.12,          30.69,  +1.49,  +0.02
  6,     UK002F,       0,  0.240528, 2459440.478547548875,  37.72779,  35.01560,               70.50435,  30.20028,        70.51295,       30.21337,     37.72779,     +35.01560,      37.71105,      +35.01953,  2846186.31, -2760198.27,  5106636.39,      52.357712,       +0.987040,  100260.01,  194736.69,   14365.07,            14211.30,  -211.59,  54502.58,           59483.36,    -40.22,    -31.63,          54.20,  +3.90,  +2.45
  0,     UK002K,       0,  0.003180, 2459440.478545013350, 346.36882,   3.57049,              140.74661,  33.63204,       140.74126,       33.62646,    346.36882,      +3.57049,     346.37515,       +3.56700,  2850877.77, -2754649.99,  5118454.86,      52.424898,       +1.092725,  109325.09,  193734.03,       0.00,              337.97,   338.29,      0.00,           60647.54,      3.07,     23.94,          25.70,  +2.32,  +0.88
  1,     UK002K,       0,  0.043412, 2459440.478545479011, 346.09435,   3.04315,              141.28773,  33.24569,       141.29840,       33.25674,    346.09435,      +3.04315,     346.08220,       +3.05009,  2850172.57, -2755483.98,  5116678.36,      52.414817,       +1.076807,  107961.41,  193140.05,    2085.38,             2423.35,   -21.16,  51833.85,           60647.54,     -6.10,    -47.50,          51.15,  +1.28,  -0.15
  2,     UK002K,       0,  0.083664, 2459440.478545944672, 345.73844,   2.42477,              141.95419,  32.80236,       141.96079,       32.80914,    345.73844,      +2.42477,     345.73121,       +2.42904,  2849331.04, -2756479.20,  5114558.42,      52.402779,       +1.057844,  106334.59,  192459.69,    4573.91,             4911.87,    21.31,  61823.67,           60647.54,     -3.74,    -29.19,          31.54,  +1.56,  +0.14
  3,     UK002K,       0,  0.123944, 2459440.478546410799, 345.34918,   1.73806,              142.68030,  32.30405,       142.68579,       32.30964,    345.34918,      +1.73806,     345.34342,       +1.74161,  2848406.42, -2757572.69,  5112229.18,      52.389541,       +1.037027,  104547.77,  191747.35,    7308.13,             7646.10,   307.79,  67880.47,           60647.54,     -3.09,    -24.13,          26.17,  +1.38,  -0.03
  4,     UK002K,       0,  0.164140, 2459440.478546875995, 345.07452,   1.25831,              143.18598,  31.95454,       143.18939,       31.95799,    345.07452,      +1.25831,     345.07135,       +1.26051,  2847763.36, -2758333.19,  5110609.21,      52.380328,       +1.022499,  103305.42,  191271.77,    9209.76,             9547.73,  -233.23,  47308.88,           58746.47,     -1.91,    -14.91,          16.21,  +1.66,  +0.25
  5,     UK002K,       0,  0.204400, 2459440.478547342122, 344.70596,   0.62151,              143.85581,  31.48904,       143.85304,       31.48624,    344.70596,      +0.62151,     344.71009,       +0.61972,  2846911.74, -2759340.35,  5108463.86,      52.368119,       +1.003313,  101660.64,  190671.30,   11728.12,            12066.09,  -161.40,  62552.46,           58746.85,      1.55,     12.09,          13.18,  +1.53,  +0.13

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.