Orbital Analysis for matched events on 20210813_230430.018_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.28° Bg 38.76° Vg 58.23km/s
mass 0.00816g, abs. mag 0.4
Path Details
------------
start 0.25° 52.96° 106.90km
end   0.19° 52.92° 101.77km

Orbit Details
-------------
Semimajor axis 16.02A.U., eccentricity 0.94, inclination 110.99°, Period 64.12Y, LA Sun 141.11°, last Perihelion 2021-07-19

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: 2459440.461458552629
Time: 2021-08-13 23:04:30.018947 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002K
 Convergence angle = 33.92447 deg
 R.A. =  53.61617  Dec = +59.78732 deg

Best intersection: Stations UK000Z and UK002K with Qconv = 33.92 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2461766.46 +/- 66.78 m
 Y =  -3043167.05 +/- 28.43 m
 Z =   5153534.88 +/- 65.36 m
 Vx =    17017.56 +/- 632.66 m/s
 Vy =    24250.56 +/- 642.75 m/s
 Vz =    51349.76 +/- 534.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.057809e+03, +4.826076e+02, +2.037964e+03, +6.601443e+03, +3.076356e+03, +2.526888e+03
+4.826076e+02, +3.020707e+02, +6.379528e+02, +1.424959e+03, +1.263356e+03, +1.532303e+02
+2.037964e+03, +6.379528e+02, +2.550262e+03, +9.446250e+03, +3.847583e+01, +5.887812e+03
+6.601443e+03, +1.424959e+03, +9.446250e+03, +1.179923e+05, -5.269496e+04, +1.000574e+05
+3.076356e+03, +1.263356e+03, +3.847583e+01, -5.269496e+04, +5.422105e+04, -6.121749e+04
+2.526888e+03, +1.532303e+02, +5.887812e+03, +1.000574e+05, -6.121749e+04, +9.382827e+04

Timing offsets (from input data):
    UK000Z: 0.000000 s
    UK002K: -0.000191 s

Reference point on the trajectory:
  Time: 2021-08-13 23:04:30.018947 UTC
  Lon     = ++0.248303 +/- 0.0007 deg
  Lat     = +52.964660 +/- 0.0003 deg
  Lat geo = +52.782515 +/- 0.0003 deg
  Ht      =  106884.95 +/- 77.01 m

  JD dynamic   = 2459440.462259293534 
  LST apparent = 308.9710870907 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  54.94118 +/- 1.2047 deg
  Dec       = +60.01759 +/- 0.1121 deg
  Azimuth   =  37.26560 +/- 0.4766 deg
  Elevation = +37.49018 +/- 0.4863 deg
  Vavg      =  53.77627 +/- 0.3381 km/s
  Vinit     =  59.28309 +/- 0.5504 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.79070 +/- 1.2047 deg
  Dec       = +59.78831 +/- 0.1121 deg
  Azimuth   =  37.54128 +/- 0.4766 deg
  Elevation = +37.38843 +/- 0.4863 deg
  Vavg      =  53.91393 +/- 0.3381 km/s
  Vinit     =  59.42075 +/- 0.5504 km/s
Radiant (geocentric, J2000):
  R.A.   =  55.22762 +/- 1.2135 deg
  Dec    = +59.60241 +/- 0.1182 deg
  Vg     =  58.23488 +/- 0.5600 km/s
  Vinf   =  59.28309 +/- 0.5504 km/s
  Zc     =  52.65486 +/- 0.4872 deg
  Zg     =  53.16062 +/- 0.5012 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.27969 +/- 0.7307 deg
  Bg     = +38.75923 +/- 0.2645 deg
  Vh     =  41.18264 +/- 0.4946 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  94.20949 +/- 1.9318 deg
  Bh     = +62.28598 +/- 0.3509 deg
  Vh_x   =   1.40585 +/- 0.6497 km/s
  Vh_y   = -19.10068 +/- 0.0826 km/s
  Vh_z   = -36.45816 +/- 0.5510 km/s
Orbit:
  La Sun = 141.111798 +/- 0.0000 deg
  a      =  16.019741 +/- 87.8973 AU
  e      =   0.943337 +/- 0.0435
  i      = 110.985793 +/- 0.3150 deg
  peri   = 141.792470 +/- 2.5431 deg
  node   = 141.110737 +/- 0.0000 deg
  Pi     = 282.903207 +/- 2.5431 deg
  q      =   0.907732 +/- 0.0108 AU
  f      =  38.203555 +/- 2.5431 deg
  M      =   0.398370 +/- nan deg
  Q      =  31.131751 +/- 175.7973 AU
  n      =   0.015372 +/- 0.0091 deg/day
  T      =  64.118578 +/- 489897558.0961 years
  Last perihelion JD = 2459414.546397 (2021-07-19 01:06:48.670793) +/- 0.9977 days
  Tj     =  -0.092149 +/- 0.2564
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.075941e-04, +1.743778e-04, +2.699721e-02, -9.123558e-10, +6.937316e-04, +1.236380e-05
q   , +1.743778e-04, +5.010851e-05, +7.754668e-03, -3.147733e-10, +1.993020e-04, +4.258231e-06
Tp  , +2.699721e-02, +7.754668e-03, +1.200253e+00, -4.588918e-08, +3.084584e-02, +6.211180e-04
node, -9.123558e-10, -3.147733e-10, -4.588918e-08, +9.064745e-14, -1.209628e-09, -1.215887e-09
peri, +6.937316e-04, +1.993020e-04, +3.084584e-02, -1.209628e-09, +7.927404e-04, +1.636875e-05
i   , +1.236380e-05, +4.258231e-06, +6.211180e-04, -1.215887e-09, +1.636875e-05, +1.630915e-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: UK000Z
  Avg. res. = 1.349e-05 s
  Stddev    = 3.67e-03 s

Begin point on the trajectory:
  Lon =     0.248485 +/- 0.0006 deg
  Lat =    52.964805 +/- 0.0001 deg
  Ht  = 106900.78 +/- 70.03 m
End point on the trajectory:
  Lon =     0.188505 +/- 0.0003 deg
  Lat =    52.917674 +/- 0.0001 deg
  Ht  = 101769.57 +/- 52.87 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   106900.78,   101769.57,          0.012887,     35.60,     13.69,              44.06, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210813_230424_164_0251392.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   105952.70,   101917.36,          0.005516,     12.26,      2.76,              68.87, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_230429_665_0256512.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,     UK000Z,       0,  0.000000, 2459440.461458552629,   9.32934,  27.00690,               94.18127,  37.69386,        94.17960,       37.68967,      9.32934,     +27.00690,       9.33361,      +27.00469,  2461773.93, -3043156.41,  5153557.41,      52.964805,       +0.248485,  106900.78,  172132.09,       0.00,               26.01,   857.91,      0.00,           53336.19,      4.75,     12.33,          15.83,  +3.53,  +2.35
  1,     UK000Z,       0,  0.040044, 2459440.461459015962,   9.10067,  26.69498,               94.63673,  37.59971,        94.62840,       37.57911,      9.10067,     +26.69498,       9.12177,      +26.68412,  2461323.95, -3043797.64,  5152199.63,      52.956055,       +0.237295,  105946.82,  171022.07,    1567.54,             1541.53,    -0.50,  39145.53,           53336.19,     23.15,     60.26,          77.86,  +2.41,  +1.24
  2,     UK000Z,       0,  0.080156, 2459440.461459480226,   8.79385,  26.18188,               95.32663,  37.40176,        95.32661,       37.40171,      8.79385,     +26.18188,       8.79425,      +26.18185,  2460632.37, -3044783.17,  5150112.81,      52.942600,       +0.220187,  104481.09,  169335.06,    3976.77,             3950.76,    30.77,  60062.49,           53336.19,      0.06,      0.16,           0.21,  +1.70,  +0.56
  3,     UK000Z,       0,  0.120264, 2459440.461459944490,   8.48695,  25.67387,               96.01043,  37.20579,        96.01706,       37.22145,      8.48695,     +25.67387,       8.47154,      +25.68209,  2459958.52, -3045743.43,  5148079.49,      52.929482,       +0.203516,  103053.47,  167708.19,    6324.23,             6298.22,     0.50,  58528.41,           53336.19,    -17.39,    -45.15,          59.51,  +1.61,  +0.49
  4,     UK000Z,       0,  0.160340, 2459440.461460408289,   8.18539,  25.21956,               96.64344,  37.04511,        96.64686,       37.05302,      8.18539,     +25.21956,       8.17802,      +25.22371,  2459352.30, -3046607.31,  5146250.25,      52.917674,       +0.188505,  101769.57,  166258.54,    8436.08,             8410.07,  -263.47,  52696.29,           53951.71,     -8.72,    -22.66,          30.12,  +2.55,  +1.45
  0,     UK002K,       0,  0.035440, 2459440.461458967999, 328.50014,  20.42677,              147.14412,  53.46493,       147.14944,       53.46899,    328.50014,     +20.42677,     328.49563,      +20.42949,  2461326.73, -3043793.69,  5152208.00,      52.956109,       +0.237380,  105952.70,  131230.03,       0.00,             1531.87,   262.75,      0.00,           56414.53,      2.59,    -11.50,          18.53,  +2.25,  +1.66
  1,     UK002K,       0,  0.075648, 2459440.461459433194, 328.07656,  19.78970,              148.12991,  53.00027,       148.13792,       53.00627,    328.07656,     +19.78970,     328.06993,      +19.79375,  2460807.14, -3044534.12,  5150640.16,      52.946001,       +0.224485,  104851.43,  130637.83,    1810.06,             3341.94,  -310.84,  45017.50,           56414.53,      3.85,    -17.11,          27.70,  +1.60,  +1.02
  2,     UK002K,       0,  0.115976, 2459440.461459899787, 327.41621,  18.79066,              149.63652,  52.25838,       149.64277,       52.26295,    327.41621,     +18.79066,     327.41134,      +18.79378,  2460000.87, -3045683.08,  5148207.28,      52.930307,       +0.204570,  103143.18,  129765.71,    4618.82,             6150.69,   107.15,  69647.69,           56414.53,      2.96,    -13.17,          21.45,  +1.63,  +1.06
  3,     UK002K,       0,  0.156212, 2459440.461460365448, 326.93545,  18.06691,              150.70644,  51.71277,       150.70568,       51.71222,    326.93545,     +18.06691,     326.93675,      +18.06653,  2459422.09, -3046507.85,  5146460.84,      52.919034,       +0.190229,  101917.36,  129172.86,    6635.07,             8166.94,  -261.91,  50110.73,           56414.53,     -0.36,      1.58,           2.59,  +2.66,  +2.10

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.