Orbital Analysis for matched events on 20210816_012509.396_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 74.39° Bg 39.68° Vg 55.01km/s
mass 0.01651g, abs. mag -0.3
Path Details
------------
start 1.07° 52.25° 106.46km
end   1.00° 52.21° 98.54km

Orbit Details
-------------
Semimajor axis 4.62A.U., eccentricity 0.82, inclination 105.96°, Period 9.94Y, LA Sun 143.13°, last Perihelion 2021-07-13

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: 2459442.559136529919
Time: 2021-08-16 01:25:09.396185 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK0032
 Convergence angle = 59.49826 deg
 R.A. =  62.10654  Dec = +61.32773 deg

Best intersection: Stations UK002F and UK0032 with Qconv = 59.50 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3876144.08 +/- 118.63 m
 Y =   -893306.44 +/- 184.37 m
 Z =   5104272.65 +/- 163.93 m
 Vx =    11683.03 +/- 787.55 m/s
 Vy =    23675.56 +/- 1000.50 m/s
 Vz =    49518.74 +/- 1174.69 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.459052e+04, +1.627099e+04, +1.524508e+04, +7.245322e+04, +7.562210e+04, +3.661676e+04
+1.627099e+04, +3.131094e+04, +2.544803e+04, +7.724645e+04, +1.402116e+05, +4.722289e+04
+1.524508e+04, +2.544803e+04, +2.511505e+04, +7.076988e+04, +1.097497e+05, +3.684297e+04
+7.245322e+04, +7.724645e+04, +7.076988e+04, +5.584674e+05, +5.101584e+05, +2.646277e+05
+7.562210e+04, +1.402116e+05, +1.097497e+05, +5.101584e+05, +8.210338e+05, +2.925266e+05
+3.661676e+04, +4.722289e+04, +3.684297e+04, +2.646277e+05, +2.925266e+05, +1.750592e+05

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK0032: 0.001146 s

Reference point on the trajectory:
  Time: 2021-08-16 01:25:09.396185 UTC
  Lon     = ++1.067637 +/- 0.0029 deg
  Lat     = +52.254166 +/- 0.0007 deg
  Lat geo = +52.070786 +/- 0.0007 deg
  Ht      =  106320.71 +/- 169.36 m

  JD dynamic   = 2459442.559937270824 
  LST apparent = 347.0220618573 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  63.73533 +/- 0.9630 deg
  Dec       = +61.93540 +/- 0.8644 deg
  Azimuth   =  45.20032 +/- 1.3630 deg
  Elevation = +49.81344 +/- 0.4249 deg
  Vavg      =  56.38991 +/- 0.9446 km/s
  Vinit     =  56.11712 +/- 0.8842 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  63.87848 +/- 0.9630 deg
  Dec       = +61.68159 +/- 0.8644 deg
  Azimuth   =  45.52189 +/- 1.3630 deg
  Elevation = +49.65283 +/- 0.4249 deg
  Vavg      =  56.52331 +/- 0.9446 km/s
  Vinit     =  56.25052 +/- 0.8842 km/s
Radiant (geocentric, J2000):
  R.A.   =  64.07680 +/- 0.9849 deg
  Dec    = +61.72095 +/- 0.8657 deg
  Vg     =  55.00856 +/- 0.9019 km/s
  Vinf   =  56.11712 +/- 0.8842 km/s
  Zc     =  40.31595 +/- 0.4242 deg
  Zg     =  40.73559 +/- 0.4259 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  74.38839 +/- 0.7296 deg
  Bg     = +39.68084 +/- 0.8076 deg
  Vh     =  39.49900 +/- 0.3930 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 109.34874 +/- 3.2377 deg
  Bh     = +62.77639 +/- 1.0289 deg
  Vh_x   =   5.98670 +/- 0.7648 km/s
  Vh_y   = -17.04882 +/- 1.0263 km/s
  Vh_z   = -35.12362 +/- 0.2521 km/s
Orbit:
  La Sun = 143.127043 +/- -0.0000 deg
  a      =   4.622905 +/- 0.9753 AU
  e      =   0.816251 +/- 0.0289
  i      = 105.961967 +/- 1.8372 deg
  peri   = 129.891403 +/- 1.8385 deg
  node   = 143.127320 +/- 0.0001 deg
  Pi     = 273.018723 +/- 1.8384 deg
  q      =   0.849453 +/- 0.0095 AU
  f      =  50.105098 +/- 1.8385 deg
  M      =   3.307346 +/- 0.8561 deg
  Q      =   8.396357 +/- 1.9463 AU
  n      =   0.099159 +/- 0.0231 deg/day
  T      =   9.939696 +/- 3.4168 years
  Last perihelion JD = 2459409.205934 (2021-07-13 16:56:32.690738) +/- 1.1429 days
  Tj     =   0.826297 +/- 0.2145
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.298381e-04, +1.348654e-04, +2.551563e-02, -4.252747e-08, +6.062677e-04, +6.676163e-04
q   , +1.348654e-04, +9.632537e-05, +1.026692e-02, -8.608995e-09, +3.160516e-04, +1.348259e-04
Tp  , +2.551563e-02, +1.026692e-02, +1.324161e+00, -1.553568e-06, +3.706549e-02, +2.436611e-02
node, -4.252747e-08, -8.608995e-09, -1.553568e-06, +3.741466e-12, -3.759185e-08, -5.903909e-08
peri, +6.062677e-04, +3.160516e-04, +3.706549e-02, -3.759185e-08, +1.086668e-03, +5.892568e-04
i   , +6.676163e-04, +1.348259e-04, +2.436611e-02, -5.903909e-08, +5.892568e-04, +9.316963e-04

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. = 3.241e-06 s
  Stddev    = 1.80e-03 s

Begin point on the trajectory:
  Lon =     1.068869 +/- 0.0028 deg
  Lat =    52.254916 +/- 0.0005 deg
  Ht  = 106463.43 +/- 143.06 m
End point on the trajectory:
  Lon =     0.999570 +/- 0.0012 deg
  Lat =    52.213123 +/- 0.0005 deg
  Ht  = 98535.57 +/- 49.08 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,  27.708578,   0.000000,   106463.43,    99160.89,          0.013144,      6.61,     44.04,              27.21, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210816_012504_923_0475392.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000443,  74.925154,   105062.49,    98535.57,          0.018735,     37.64,     32.17,              56.26, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210816_012502_834_0480000.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, 2459442.559136529919,  64.63047,  33.20441,               74.82243,  31.37866,        74.81140,       31.36940,     64.63047,     +33.20441,      64.64625,      +33.20461,  3876182.97,  -893227.63,  5104437.50,      52.254916,       +1.068869,  106463.43,  200047.18,       0.00,              186.82,  -123.66,      0.00,           59075.80,     45.61,     -6.86,          47.56,  +5.32,  +3.81
  1,     UK002F,       0,  0.040204, 2459442.559136995114,  64.66396,  32.82484,               75.11493,  31.09177,        75.12300,       31.09852,     64.66396,     +32.82484,      64.65263,      +32.82469,  3875612.73,  -894383.22,  5102020.51,      52.243903,       +1.050635,  104371.12,  197640.28,    2739.06,             2552.24,   -14.36,  68129.04,           59075.80,    -32.97,      4.98,          34.80,  +3.78,  +2.30
  2,     UK002F,       0,  0.080360, 2459442.559137459844,  64.65797,  32.49115,               75.39503,  30.86004,        75.39518,       30.86017,     64.65797,     +32.49115,      64.65809,      +32.49115,  3875122.91,  -895375.85,  5099944.38,      52.234436,       +1.034947,  102574.26,  195578.57,    5091.83,             4905.01,    84.97,  58590.74,           59075.80,     -0.62,      0.09,           0.66,  +2.42,  +0.96
  3,     UK002F,       0,  0.120512, 2459442.559137924574,  64.66829,  32.19743,               75.62963,  30.64626,        75.63389,       30.64981,     64.66829,     +32.19743,      64.66277,      +32.19735,  3874699.48,  -896233.92,  5098149.67,      52.226245,       +1.021361,  101021.22,  193800.46,    7125.68,             6938.86,  -134.40,  50653.80,           59075.80,    -17.06,      2.58,          18.37,  +2.38,  +0.94
  4,     UK002F,       0,  0.160668, 2459442.559138389304,  64.63983,  31.83749,               75.94438,  30.40827,        75.92447,       30.39170,     64.63983,     +31.83749,      64.66859,      +31.83784,  3874192.17,  -897261.97,  5095999.44,      52.216425,       +1.005115,   99160.89,  191678.87,    9562.43,             9375.61,    48.91,  60682.04,           58538.75,     78.97,    -11.84,          85.93,  +1.92,  +0.51
  0,     UK0032,       0,  0.023056, 2459442.559136918280,  16.16064,  12.59560,              137.80583,  42.98208,       137.81441,       42.98909,     16.16064,     +12.59560,      16.15195,      +12.59938,  3875801.17,  -894001.35,  5102819.21,      52.247544,       +1.056633,  105062.49,  152662.52,       0.00,             1647.11,    42.78,      0.00,           55998.84,    -16.31,    -19.05,          33.89,  +5.45,  +4.53
  1,     UK0032,       0,  0.063132, 2459442.559137382079,  15.83473,  11.99349,              138.53838,  42.56400,       138.50452,       42.53659,     15.83473,     +11.99349,      15.86975,      +11.97863,  3875369.11,  -894876.92,  5100987.91,      52.239195,       +1.042776,  103477.37,  151625.45,    2075.33,             3722.43,  -130.84,  51784.84,           55998.84,     63.72,     74.56,         133.42,  +2.02,  +1.12
  2,     UK0032,       0,  0.103284, 2459442.559137846809,  15.52607,  11.25706,              139.31427,  42.01238,       139.29985,       42.00083,     15.52607,     +11.25706,      15.54127,      +11.25077,  3874870.11,  -895888.13,  5098872.90,      52.229547,       +1.026797,  101647.04,  150455.45,    4472.16,             6119.26,    12.77,  59693.83,           55998.84,     26.88,     31.44,          56.71,  +1.15,  +0.26
  3,     UK0032,       0,  0.143424, 2459442.559138311539,  15.23466,  10.56602,              140.03386,  41.49159,       140.03526,       41.49270,     15.23466,     +10.56602,      15.23389,      +10.56663,  3874408.18,  -896824.23,  5096915.01,      52.220608,       +1.011990,   99952.97,  149398.22,    6690.94,             8338.05,   -20.99,  55276.17,           55998.84,     -2.58,     -3.01,           5.48,  +1.11,  +0.24
  4,     UK0032,       0,  0.183536, 2459442.559138775803,  14.97905,   9.98396,              140.64438,  41.05397,       140.65035,       41.05867,     14.97905,      +9.98396,      14.97379,       +9.98656,  3874021.63,  -897607.57,  5095276.60,      52.213123,       +0.999570,   98535.57,  148532.42,    8547.67,            10194.77,  -415.23,  46288.51,           54108.30,    -10.98,    -12.83,          23.45,  +1.77,  +0.91

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.