Orbital Analysis for matched events on 20210810_002547.872_UK

Summary for Event
-----------------
shower ID 547 KAP
Lg 49.36° Bg 14.93° Vg 65.75km/s
mass 0.13820g, abs. mag -2.7
Path Details
------------
start -4.15° 54.25° 110.13km
end   -4.47° 54.20° 97.12km

Orbit Details
-------------
Semimajor axis 2.99A.U., eccentricity 0.66, inclination 153.59°, Period 5.17Y, LA Sun 137.33°, last Perihelion 2021-08-04

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: 2459436.517915192526
Time: 2021-08-10 00:25:47.872634 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003F
 Convergence angle = 6.59979 deg
 R.A. =  42.45851  Dec = +32.39913 deg

Best intersection: Stations UK001L and UK003F with Qconv = 6.60 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2952789.46 +/- 410.14 m
 Y =  -2390058.82 +/- 89.64 m
 Z =   5242573.79 +/- 417.22 m
 Vx =    41785.43 +/- 1921.72 m/s
 Vy =    37820.73 +/- 347.68 m/s
 Vz =    35627.08 +/- 2286.34 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.602858e+05, +3.240959e+04, -1.563633e+05, +6.188939e+05, +7.569969e+04, -6.829415e+05
+3.240959e+04, +8.298073e+03, -2.970808e+04, +1.177782e+05, +1.617943e+04, -1.336767e+05
-1.563633e+05, -2.970808e+04, +1.617464e+05, -5.908223e+05, -8.600026e+04, +6.390408e+05
+6.188939e+05, +1.177782e+05, -5.908223e+05, +3.272391e+06, +2.473520e+05, -3.742551e+06
+7.569969e+04, +1.617943e+04, -8.600026e+04, +2.473520e+05, +8.885626e+04, -1.999734e+05
-6.829415e+05, -1.336767e+05, +6.390408e+05, -3.742551e+06, -1.999734e+05, +4.443407e+06

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK003F: -0.001369 s

Reference point on the trajectory:
  Time: 2021-08-10 00:25:47.872634 UTC
  Lon     = +-4.147866 +/- 0.0049 deg
  Lat     = +54.251814 +/- 0.0041 deg
  Lat geo = +54.072252 +/- 0.0041 deg
  Ht      =  110105.88 +/- 186.76 m

  JD dynamic   = 2459436.518715933431 
  LST apparent = 321.0124588577 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  42.14880 +/- 1.0995 deg
  Dec       = +32.29846 +/- 2.1195 deg
  Azimuth   =  76.11441 +/- 2.4470 deg
  Elevation = +30.64712 +/- 0.9583 deg
  Vavg      =  65.38048 +/- 0.3784 km/s
  Vinit     =  66.67622 +/- 0.3666 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  42.19198 +/- 1.0995 deg
  Dec       = +32.17321 +/- 2.1195 deg
  Azimuth   =  76.18050 +/- 2.4470 deg
  Elevation = +30.52972 +/- 0.9583 deg
  Vavg      =  65.61201 +/- 0.3784 km/s
  Vinit     =  66.90775 +/- 0.3666 km/s
Radiant (geocentric, J2000):
  R.A.   =  42.18583 +/- 1.1016 deg
  Dec    = +31.86985 +/- 2.1300 deg
  Vg     =  65.74639 +/- 0.3719 km/s
  Vinf   =  66.67622 +/- 0.3666 km/s
  Zc     =  59.39613 +/- 0.9509 deg
  Zg     =  59.85504 +/- 0.9580 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  49.36441 +/- 1.5921 deg
  Bg     = +14.92710 +/- 1.7451 deg
  Vh     =  38.12323 +/- 0.4724 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  50.64061 +/- 3.0011 deg
  Bh     = +26.37616 +/- 2.9840 deg
  Vh_x   = -21.66018 +/- 1.7378 km/s
  Vh_y   = -26.40767 +/- 0.7333 km/s
  Vh_z   = -16.93672 +/- 1.8908 km/s
Orbit:
  La Sun = 137.326326 +/- nan deg
  a      =   2.988777 +/- 0.2878 AU
  e      =   0.661957 +/- 0.0420
  i      = 153.585492 +/- 3.0533 deg
  peri   = 172.540821 +/- 6.6706 deg
  node   = 137.319543 +/- 0.0011 deg
  Pi     = 309.860364 +/- 6.6695 deg
  q      =   1.010335 +/- 0.0059 AU
  f      =   7.450799 +/- 6.6715 deg
  M      =   1.138484 +/- 1.1499 deg
  Q      =   4.967218 +/- 0.5801 AU
  n      =   0.190750 +/- 0.0363 deg/day
  T      =   5.167028 +/- 0.7099 years
  Last perihelion JD = 2459430.550244 (2021-08-04 01:12:21.066818) +/- 523.5032 days
  Tj     =   0.723835 +/- 0.2037
Shower association:
  IAU No.  =  547
  IAU code =  KAP

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.172157e-03, -2.348219e-04, +7.426299e+00, +5.640814e-07, -3.884457e-03, -1.752426e-03
q   , -2.348219e-04, +4.198283e-05, -1.290574e+00, -9.943767e-08, +6.735366e-04, +3.137471e-04
Tp  , +7.426299e+00, -1.290574e+00, +2.486551e+05, +7.049764e-03, -4.295749e+01, -1.900610e+01
node, +5.640814e-07, -9.943767e-08, +7.049764e-03, +3.523412e-10, -2.220200e-06, -1.017468e-06
peri, -3.884457e-03, +6.735366e-04, -4.295749e+01, -2.220200e-06, +1.425929e-02, +6.491073e-03
i   , -1.752426e-03, +3.137471e-04, -1.900610e+01, -1.017468e-06, +6.491073e-03, +2.992667e-03

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: UK001L
  Avg. res. = 1.843e-05 s
  Stddev    = 4.29e-03 s

Begin point on the trajectory:
  Lon =    -4.147248 +/- 0.0048 deg
  Lat =    54.251904 +/- 0.0040 deg
  Ht  = 110130.89 +/- 178.72 m
End point on the trajectory:
  Lon =    -4.471492 +/- 0.0048 deg
  Lat =    54.204720 +/- 0.0047 deg
  Ht  = 97122.45 +/- 186.71 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   110130.89,    98252.80,          0.012984,     71.61,     33.10,              98.77, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_002544_030_0354048.fits"}
    UK003F,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   103883.40,    97122.45,          0.004283,     26.53,     10.07,              91.94, 1.0000,    True,    True, {"ff_name": "FF_UK003F_20210810_002542_031_0370176.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,     UK001L,       0,  0.000000, 2459436.517915192526, 195.09789,  45.73370,              325.29097,  17.07818,       325.28409,       17.08692,    195.09789,     +45.73370,     195.11154,      +45.73795,  2952820.21, -2390030.99,  5242600.01,      54.251904,       -4.147248,  110130.89,  345894.94,       0.00,               49.06,   345.06,      0.00,           64302.15,    -27.70,    -59.95,          39.38,  +1.79,  -0.90
  1,     UK001L,       0,  0.040196, 2459436.517915658187, 195.37236,  45.33655,              324.90805,  16.83214,       324.91570,       16.82243,    195.37236,     +45.33655,     195.35579,      +45.33187,  2951139.44, -2391552.29,  5241166.95,      54.247008,       -4.181202,  108764.08,  346294.51,    2681.97,             2632.91,   248.78,  66722.28,           64302.15,     30.84,     66.70,          43.77,  +1.72,  -0.98
  2,     UK001L,       0,  0.080404, 2459436.517916123383, 195.58047,  44.94787,              324.57077,  16.57086,       324.56942,       16.57258,    195.58047,     +44.94787,     195.58284,      +44.94869,  2949552.02, -2392989.09,  5239813.49,      54.242373,       -4.213286,  107473.92,  346690.99,    5214.98,             5165.92,   100.88,  62997.69,           64302.15,     -5.47,    -11.83,           7.76,  +1.17,  -1.53
  3,     UK001L,       0,  0.120612, 2459436.517916588578, 195.79687,  44.55869,              324.22725,  16.31295,       324.22145,       16.32027,    195.79687,     +44.55869,     195.80854,      +44.56219,  2947948.87, -2394440.13,  5238446.61,      54.237683,       -4.245691,  106171.70,  347109.78,    7773.10,             7724.04,   -21.92,  63622.21,           64302.15,    -23.39,    -50.60,          33.12,  +0.67,  -2.03
  4,     UK001L,       0,  0.160824, 2459436.517917054240, 196.02238,  44.15222,              323.86801,  16.04428,       323.85876,       16.05594,    196.02238,     +44.15222,     196.04120,      +44.15776,  2946268.86, -2395960.74,  5237014.20,      54.232756,       -4.279648,  104807.84,  347568.15,   10453.86,            10404.80,   -22.34,  66665.73,           64663.48,    -37.33,    -80.77,          52.80,  +0.49,  -2.22
  5,     UK001L,       0,  0.201036, 2459436.517917519435, 196.24720,  43.74305,              323.50699,  15.77395,       323.49476,       15.78933,    196.24720,     +43.74305,     196.27211,      +43.75032,  2944573.66, -2397495.09,  5235568.84,      54.227772,       -4.313917,  103432.46,  348051.06,   13158.86,            13109.80,     1.47,  67268.42,           65138.89,    -49.36,   -106.82,          69.74,  +0.48,  -2.23
  6,     UK001L,       0,  0.241236, 2459436.517917984631, 196.46542,  43.35517,              323.16072,  15.52042,       323.14912,       15.53498,    196.46542,     +43.35517,     196.48908,      +43.36202,  2942955.62, -2398959.60,  5234189.27,      54.223005,       -4.346639,  102120.45,  348531.38,   15740.73,            15691.67,   -97.04,  64225.66,           65210.84,    -46.86,   -101.40,          66.11,  +0.13,  -2.58
  7,     UK001L,       0,  0.281436, 2459436.517918450292, 196.71201,  42.94332,              322.78251,  15.25770,       322.77941,       15.26158,    196.71201,     +42.94332,     196.71862,      +42.94514,  2941214.93, -2400535.14,  5232705.12,      54.217864,       -4.381836,  100709.83,  349068.35,   18518.33,            18469.27,     0.17,  69094.40,           65564.38,    -12.53,    -27.10,          17.64,  +0.20,  -2.51
  8,     UK001L,       0,  0.321656, 2459436.517918915488, 196.92619,  42.52015,              322.41865,  14.97409,       322.40892,       14.98625,    196.92619,     +42.52015,     196.94614,      +42.52580,  2939460.36, -2402123.23,  5231209.14,      54.212670,       -4.417318,   99288.84,  349631.19,   21318.06,            21268.99,   118.18,  69610.34,           65999.20,    -39.36,    -85.15,          55.34,  +1.11,  -1.61
  9,     UK001L,       0,  0.361792, 2459436.517919380218, 197.12435,  42.22457,              322.13210,  14.79490,       322.13964,       14.78551,    197.12435,     +42.22457,     197.11014,      +42.22023,  2938180.47, -2403281.68,  5230117.88,      54.208873,       -4.443251,   98252.80,  350057.25,   23360.35,            23311.29,  -515.64,  50884.43,           65397.66,     30.49,     65.91,          42.79,  +3.84,  +1.12
  0,     UK003F,       0,  0.187304, 2459436.517917362507, 183.28870,  47.10250,              333.20715,  14.24952,       333.20894,       14.24691,    183.28870,     +47.10250,     183.28481,      +47.10083,  2945129.57, -2396991.93,  5236042.82,      54.229408,       -4.302677,  103883.40,  379238.09,       0.00,            12222.74,    29.99,      0.00,           70993.79,      7.35,     19.37,          11.27,  +0.93,  -1.96
  1,     UK003F,       0,  0.227500, 2459436.517917827703, 183.53781,  46.82593,              332.92936,  14.06830,       332.92946,       14.06816,    183.53781,     +46.82593,     183.53778,      +46.82584,  2943786.01, -2398208.01,  5234897.27,      54.225453,       -4.329875,  102793.68,  379370.61,    2143.89,            14366.63,  -506.23,  53335.94,           70993.79,      0.38,      1.00,           0.58,  +0.00,  -2.90
  2,     UK003F,       0,  0.267800, 2459436.517918294296, 183.90611,  46.40278,              332.51075,  13.78906,       332.50609,       13.79585,    183.90611,     +46.40278,     183.91653,      +46.40706,  2941741.04, -2400058.95,  5233153.69,      54.219419,       -4.371192,  101136.09,  379592.95,    5407.02,            17629.76,    69.84,  80970.87,           70993.79,    -19.19,    -50.56,          29.38,  +0.14,  -2.76
  3,     UK003F,       0,  0.308068, 2459436.517918760423, 184.26105,  46.01663,              332.11463,  13.54150,       332.11396,       13.54247,    184.26105,     +46.01663,     184.26299,      +46.01723,  2939840.88, -2401778.81,  5231533.58,      54.213797,       -4.409603,   99596.96,  379825.07,    8439.05,            20661.80,   416.96,  75296.44,           70993.79,     -2.74,     -7.23,           4.20,  +0.07,  -2.83
  4,     UK003F,       0,  0.348300, 2459436.517919226084, 184.57079,  45.67568,              331.76565,  13.32335,       331.76890,       13.31863,    184.57079,     +45.67568,     184.56451,      +45.67274,  2938164.30, -2403296.32,  5230104.09,      54.208825,       -4.443520,   98239.76,  380050.60,   11114.35,            23337.09,   409.74,  66496.72,           70857.74,     13.37,     35.21,          20.44,  +1.25,  -1.65
  5,     UK003F,       0,  0.388504, 2459436.517919691280, 184.80918,  45.38852,              331.48528,  13.13399,       331.48522,       13.13407,    184.80918,     +45.38852,     184.81015,      +45.38857,  2936783.33, -2404546.25,  5228926.65,      54.204720,       -4.471492,   97122.45,  380251.45,   13317.93,            25540.67,   -67.33,  54809.96,           68529.44,     -0.24,     -0.64,           0.37,  +1.62,  -1.28

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.