Orbital Analysis for matched events on 20210816_023632.412_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 71.57° Bg 35.58° Vg 55.94km/s
mass 0.01225g, abs. mag -0.1
Path Details
------------
start -3.09° 50.78° 107.99km
end   -3.16° 50.75° 98.62km

Orbit Details
-------------
Semimajor axis 2.89A.U., eccentricity 0.71, inclination 112.92°, Period 4.92Y, LA Sun 143.17°, last Perihelion 2021-07-10

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: 2459442.608708481770
Time: 2021-08-16 02:36:32.412825 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK003E
 Convergence angle = 46.37788 deg
 R.A. =  61.93517  Dec = +57.21313 deg

Best intersection: Stations UK000T and UK003E with Qconv = 46.38 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4109034.13 +/- 16.50 m
 Y =     54792.65 +/- 8.61 m
 Z =   5001763.15 +/- 8.59 m
 Vx =    14691.47 +/- 127.81 m/s
 Vy =    27014.29 +/- 75.50 m/s
 Vz =    48027.04 +/- 81.60 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.844025e+02, -1.766630e+01, +9.673163e+01, +2.147490e+03, +1.185735e+01, +7.138106e+02
-1.766630e+01, +7.970058e+01, +3.977524e+01, -3.717948e+01, +2.035980e+02, -1.289947e+02
+9.673163e+01, +3.977524e+01, +7.828105e+01, +7.366227e+02, +5.122474e+01, +2.134882e+02
+2.147490e+03, -3.717948e+01, +7.366227e+02, +1.744206e+04, +3.244900e+02, +5.604943e+03
+1.185735e+01, +2.035980e+02, +5.122474e+01, +3.244900e+02, +1.054470e+03, -4.486926e+02
+7.138106e+02, -1.289947e+02, +2.134882e+02, +5.604943e+03, -4.486926e+02, +2.097933e+03

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK003E: -0.000098 s

Reference point on the trajectory:
  Time: 2021-08-16 02:36:32.412825 UTC
  Lon     = +-3.085213 +/- 0.0001 deg
  Lat     = +50.779310 +/- 0.0001 deg
  Lat geo = +50.593811 +/- 0.0001 deg
  Ht      =  107996.05 +/- 15.64 m

  JD dynamic   = 2459442.609509222675 
  LST apparent = 0.7639755235 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  61.46086 +/- 0.2094 deg
  Dec       = +57.36934 +/- 0.0451 deg
  Azimuth   =  55.09846 +/- 0.1154 deg
  Elevation = +55.01593 +/- 0.1015 deg
  Vavg      =  56.73743 +/- 0.0410 km/s
  Vinit     =  57.02813 +/- 0.0682 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  61.73182 +/- 0.2094 deg
  Dec       = +57.14849 +/- 0.0451 deg
  Azimuth   =  55.39666 +/- 0.1154 deg
  Elevation = +54.81376 +/- 0.1015 deg
  Vavg      =  56.87895 +/- 0.0410 km/s
  Vinit     =  57.16965 +/- 0.0682 km/s
Radiant (geocentric, J2000):
  R.A.   =  61.64156 +/- 0.2125 deg
  Dec    = +57.21678 +/- 0.0449 deg
  Vg     =  55.93801 +/- 0.0696 km/s
  Vinf   =  57.02813 +/- 0.0682 km/s
  Zc     =  35.09049 +/- 0.1018 deg
  Zg     =  35.44011 +/- 0.1037 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  71.56525 +/- 0.1451 deg
  Bg     = +35.57991 +/- 0.0359 deg
  Vh     =  38.01717 +/- 0.0343 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  98.70451 +/- 0.3759 deg
  Bh     = +58.88268 +/- 0.0586 deg
  Vh_x   =   2.97335 +/- 0.1273 km/s
  Vh_y   = -19.42068 +/- 0.0295 km/s
  Vh_z   = -32.54692 +/- 0.0470 km/s
Orbit:
  La Sun = 143.174681 +/- nan deg
  a      =   2.891701 +/- 0.0240 AU
  e      =   0.707675 +/- 0.0015
  i      = 112.922616 +/- 0.1222 deg
  peri   = 126.956360 +/- 0.5027 deg
  node   = 143.174875 +/- 0.0000 deg
  Pi     = 270.131235 +/- 0.5027 deg
  q      =   0.845317 +/- 0.0028 AU
  f      =  53.040180 +/- 0.5027 deg
  M      =   7.272900 +/- 0.1477 deg
  Q      =   4.938085 +/- 0.0454 AU
  n      =   0.200435 +/- 0.0026 deg/day
  T      =   4.917346 +/- 0.0610 years
  Last perihelion JD = 2459406.323966 (2021-07-10 19:46:30.664954) +/- 0.2662 days
  Tj     =   1.389468 +/- 0.0177
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.502796e-06, +4.331208e-06, +4.235707e-04, -1.511885e-10, +1.387670e-05, +2.312858e-06
q   , +4.331208e-06, +8.154326e-06, +7.872246e-04, -3.476948e-10, +2.596724e-05, +5.319569e-06
Tp  , +4.235707e-04, +7.872246e-04, +7.614734e-02, -3.265484e-08, +2.509181e-03, +4.995953e-04
node, -1.511885e-10, -3.476948e-10, -3.265484e-08, +2.068854e-14, -1.093152e-09, -3.165790e-10
peri, +1.387670e-05, +2.596724e-05, +2.509181e-03, -1.093152e-09, +8.272729e-05, +1.672459e-05
i   , +2.312858e-06, +5.319569e-06, +4.995953e-04, -3.165790e-10, +1.672459e-05, +4.844340e-06

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: UK000T
  Avg. res. = 9.243e-07 s
  Stddev    = 9.61e-04 s

Begin point on the trajectory:
  Lon =    -3.085256 +/- 0.0001 deg
  Lat =    50.779291 +/- 0.0001 deg
  Ht  = 107990.69 +/- 16.36 m
End point on the trajectory:
  Lon =    -3.161153 +/- 0.0000 deg
  Lat =    50.746054 +/- 0.0001 deg
  Ht  = 98622.99 +/- 9.60 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,   0.000281,  60.838792,   107990.69,    98622.99,          0.003605,      6.89,      4.86,              55.45, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20210816_023633_496_0573440.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,  27.189747,   0.000000,   104559.54,    98775.77,          0.002473,      6.50,      1.30,              80.70, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210816_023623_250_0585216.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,     UK000T,       0,  0.000000, 2459442.608708481770,  14.97807,  14.46217,              156.96599,  51.14240,       156.96931,       51.14434,     14.97807,     +14.46217,      14.97514,      +14.46352,  4109032.44,    54789.55,  5001757.63,      50.779291,       -3.085256,  107990.69,  137884.70,       0.00,                6.55,   194.62,      0.00,           55203.23,     -3.95,     -5.60,          10.25,  +3.03,  +2.33
  1,     UK000T,       0,  0.041004, 2459442.608708956279,  14.58769,  13.78097,              157.81361,  50.57575,       157.81120,       50.57436,     14.58769,     +13.78097,      14.58939,      +13.77999,  4108451.55,    53721.42,  4999858.67,      50.772750,       -3.100213,  106143.33,  136609.48,    2254.87,             2261.41,   111.11,  54991.43,           55203.23,      2.84,      4.03,           7.44,  +1.56,  +0.88
  2,     UK000T,       0,  0.081992, 2459442.608709430788,  14.21184,  13.10937,              158.61921,  50.01023,       158.61781,       50.00943,     14.21184,     +13.10937,      14.21292,      +13.10880,  4107891.87,    52692.29,  4998029.05,      50.766442,       -3.114634,  104363.67,  135405.05,    4427.38,             4433.93,   -53.85,  53003.72,           55203.23,      1.64,      2.32,           4.33,  +0.84,  +0.18
  3,     UK000T,       0,  0.123100, 2459442.608709906694,  13.78724,  12.35608,              159.50818,  49.37128,       159.50158,       49.36754,     13.78724,     +12.35608,      13.79256,      +12.35339,  4107274.08,    51556.31,  4996009.46,      50.759473,       -3.130539,  102399.49,  134104.35,    6825.48,             6832.02,    -0.07,  58336.39,           55203.23,      7.68,     10.90,          20.51,  +0.70,  +0.06
  4,     UK000T,       0,  0.164208, 2459442.608710382599,  13.37978,  11.59798,              160.35426,  48.71855,       160.35951,       48.72150,     13.37978,     +11.59798,      13.37602,      +11.60012,  4106670.11,    50445.74,  4994035.05,      50.752654,       -3.146097,  100479.51,  132862.41,    9169.92,             9176.47,     0.07,  57031.41,           55810.14,     -6.08,     -8.63,          16.39,  +0.64,  +0.02
  5,     UK000T,       0,  0.205292, 2459442.608710858040,  12.96435,  10.85928,              161.18709,  48.08138,       161.18328,       48.07925,     12.96435,     +10.85928,      12.96784,      +10.85772,  4106086.02,    49371.74,  4992125.64,      50.746054,       -3.161153,   98622.99,  131690.01,   11437.20,            11443.74,   -75.60,  55186.23,           55894.06,      4.39,      6.23,          11.94,  +0.86,  +0.26
  6,     UK000T,       1,  0.246028, 2459442.608711329289,  12.68790,  10.35780,              161.73437,  47.64492,       161.73040,       47.64272,     12.68790,     +10.35780,      12.69169,      +10.35618,  4105697.36,    48657.08,  4990855.10,      50.741659,       -3.171230,   97387.74,  130925.08,   12945.86,            12952.40,  -890.04,  37035.15,           53920.46,      4.55,      6.46,          12.45,  +3.88,  +3.29
  0,     UK003E,       0,  0.079129, 2459442.608709432650, 322.92607,  15.02938,              235.21926,  42.10336,       235.21837,       42.10336,    322.92607,     +15.02938,     322.92666,      +15.02902,  4107953.47,    52805.57,  4998230.44,      50.767137,       -3.113066,  104559.54,  154254.92,       0.00,             4194.80,  -129.70,      0.00,           57752.48,     -0.35,      1.76,           2.40,  +1.20,  +0.26
  1,     UK003E,       0,  0.119909, 2459442.608709904831, 322.41700,  14.25963,              235.23191,  41.18957,       235.23268,       41.18958,    322.41700,     +14.25963,     322.41667,      +14.25994,  4107316.40,    51634.13,  4996147.81,      50.759951,       -3.129460,  102534.03,  153932.78,    2472.95,             6667.75,    17.64,  60641.15,           57752.48,      0.31,     -1.53,           2.09,  +0.61,  -0.33
  2,     UK003E,       0,  0.160665, 2459442.608710376546, 321.93331,  13.52510,              235.24560,  40.31786,       235.24614,       40.31786,    321.93331,     +13.52510,     321.93329,      +13.52533,  4106711.06,    50521.05,  4994168.94,      50.753117,       -3.145052,  100609.70,  153663.46,    4822.69,             9017.50,    43.15,  57654.02,           57752.48,      0.22,     -1.09,           1.50,  +0.68,  -0.25
  3,     UK003E,       0,  0.201393, 2459442.608710847795, 321.47741,  12.81941,              235.25257,  39.48417,       235.25885,       39.48422,    321.47741,     +12.81941,     321.47371,      +12.82200,  4106134.09,    49460.13,  4992282.79,      50.746597,       -3.159924,   98775.77,  153440.31,    7062.34,            11257.14,   -39.85,  54990.30,           57752.48,      2.55,    -12.73,          17.46,  +1.10,  +0.17

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.