Orbital Analysis for matched events on 20210810_013216.705_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.94° Bg 38.26° Vg 57.62km/s
mass 0.00308g, abs. mag 1.9
Path Details
------------
start -2.07° 50.46° 107.97km
end   -2.18° 50.41° 95.23km

Orbit Details
-------------
Semimajor axis 6.07A.U., eccentricity 0.85, inclination 111.98°, Period 14.94Y, LA Sun 137.37°, last Perihelion 2021-07-16

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: 2459436.564082236961
Time: 2021-08-10 01:32:16.705273 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0038
 Convergence angle = 29.91647 deg
 R.A. =  46.05672  Dec = +57.47113 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 29.92 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3881518.44 +/- 45.48 m
 Y =  -1431157.61 +/- 19.81 m
 Z =   4979131.43 +/- 15.77 m
 Vx =    21643.49 +/- 268.13 m/s
 Vy =    22644.30 +/- 202.28 m/s
 Vz =    49623.37 +/- 145.23 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.221038e+03, -7.603000e+02, +3.875105e+02, +1.039921e+04, -2.405379e+03, +1.738763e+03
-7.603000e+02, +4.228764e+02, -1.358688e+02, -3.922302e+03, +1.533188e+03, -1.076887e+03
+3.875105e+02, -1.358688e+02, +2.656214e+02, +1.498502e+03, -5.811865e+02, +4.517870e+02
+1.039921e+04, -3.922302e+03, +1.498502e+03, +7.789300e+04, -2.870685e+04, +1.700832e+04
-2.405379e+03, +1.533188e+03, -5.811865e+02, -2.870685e+04, +1.555518e+04, -9.018778e+03
+1.738763e+03, -1.076887e+03, +4.517870e+02, +1.700832e+04, -9.018778e+03, +5.410410e+03

Timing offsets (from input data):
    UK000H: 0.000098 s
    UK0025: 0.000000 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:32:16.705273 UTC
  Lon     = +-2.065437 +/- 0.0002 deg
  Lat     = +50.464104 +/- 0.0003 deg
  Lat geo = +50.278205 +/- 0.0003 deg
  Ht      =  107987.38 +/- 38.33 m

  JD dynamic   = 2459436.564882977866 
  LST apparent = 339.7605268064 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.29453 +/- 0.4839 deg
  Dec       = +57.73830 +/- 0.0895 deg
  Azimuth   =  52.59998 +/- 0.2437 deg
  Elevation = +51.94956 +/- 0.2296 deg
  Vavg      =  57.80766 +/- 0.1118 km/s
  Vinit     =  58.68291 +/- 0.1138 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.51234 +/- 0.4839 deg
  Dec       = +57.51021 +/- 0.0895 deg
  Azimuth   =  52.88832 +/- 0.2437 deg
  Elevation = +51.76542 +/- 0.2296 deg
  Vavg      =  57.95596 +/- 0.1118 km/s
  Vinit     =  58.83121 +/- 0.1138 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.51911 +/- 0.4891 deg
  Dec    = +57.54013 +/- 0.0888 deg
  Vg     =  57.62412 +/- 0.1159 km/s
  Vinf   =  58.68291 +/- 0.1138 km/s
  Zc     =  38.16359 +/- 0.2301 deg
  Zg     =  38.52445 +/- 0.2338 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.94293 +/- 0.3392 deg
  Bg     = +38.26149 +/- 0.0795 deg
  Vh     =  40.04950 +/- 0.0790 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.99369 +/- 0.8692 deg
  Bh     = +63.00177 +/- 0.1449 deg
  Vh_x   =  -1.58657 +/- 0.2687 km/s
  Vh_y   = -18.11163 +/- 0.0813 km/s
  Vh_z   = -35.68493 +/- 0.1147 km/s
Orbit:
  La Sun = 137.370618 +/- nan deg
  a      =   6.065868 +/- 0.3259 AU
  e      =   0.846877 +/- 0.0061
  i      = 111.975773 +/- 0.1524 deg
  peri   = 144.814390 +/- 0.9747 deg
  node   = 137.370381 +/- 0.0000 deg
  Pi     = 282.184771 +/- 0.9747 deg
  q      =   0.928823 +/- 0.0041 AU
  f      =  35.181845 +/- 0.9747 deg
  M      =   1.646126 +/- 0.1327 deg
  Q      =  11.202912 +/- 0.6479 AU
  n      =   0.065973 +/- 0.0041 deg/day
  T      =  14.939637 +/- 1.2729 years
  Last perihelion JD = 2459411.613286 (2021-07-16 02:43:07.870266) +/- 0.6466 days
  Tj     =   0.428268 +/- 0.0405
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.022558e-05, +2.526636e-05, +4.050874e-03, -6.104988e-10, +1.057787e-04, +8.597732e-06
q   , +2.526636e-05, +1.803992e-05, +2.839565e-03, -6.159955e-10, +7.478845e-05, +8.674099e-06
Tp  , +4.050874e-03, +2.839565e-03, +4.481562e-01, -9.327145e-08, +1.178919e-02, +1.313407e-03
node, -6.104988e-10, -6.159955e-10, -9.327145e-08, +3.834568e-14, -2.503236e-09, -5.398790e-10
peri, +1.057787e-04, +7.478845e-05, +1.178919e-02, -2.503236e-09, +3.103007e-04, +3.524928e-05
i   , +8.597732e-06, +8.674099e-06, +1.313407e-03, -5.398790e-10, +3.524928e-05, +7.601106e-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: UK0038
  Avg. res. = 9.826e-06 s
  Stddev    = 3.13e-03 s

Begin point on the trajectory:
  Lon =    -2.065557 +/- 0.0001 deg
  Lat =    50.464046 +/- 0.0003 deg
  Ht  = 107973.51 +/- 39.00 m
End point on the trajectory:
  Lon =    -2.176660 +/- 0.0002 deg
  Lat =    50.410293 +/- 0.0003 deg
  Ht  = 95227.29 +/- 41.09 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,  17.587789,   0.000000,   106805.30,    95501.03,          0.010997,     20.79,      7.36,              59.80, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_013208_468_0470016.fits"}
    UK0025,    True,    -2.949750,    50.877380,   82.00, 11596.504787,   1.051480,   122880.27,   110049.30,          5.518842,       nan,       nan,              41.85, 0.0000,    True,    True, {"ff_name": "FF_UK0025_20210810_013209_099_0465408.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   107973.51,    95227.29,          0.009199,     23.05,      4.21,              66.23, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_013213_997_0466688.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,     UK000H,       0,  0.033252, 2459436.564082620665, 328.18296,  27.45058,              205.49812,  64.92299,       205.51210,       64.92502,    328.18296,     +27.45058,     328.17744,      +27.45432,  3880964.78, -1431736.87,  4977862.02,      50.459135,       -2.075756,  106805.30,  117681.10,       0.00,             1501.16,    17.55,      0.00,           59065.87,      4.29,    -12.12,          22.54,  +2.03,  +1.68
  1,     UK000H,       0,  0.074068, 2459436.564083093312, 327.54688,  26.67076,              206.18889,  64.00630,       206.23411,       64.01284,    327.54688,     +26.67076,     327.52841,      +26.68316,  3880139.74, -1432600.05,  4975970.41,      50.451725,       -2.091101,  105044.05,  116609.47,    2236.96,             3738.12,  -140.69,  54805.92,           59065.87,     14.15,    -40.04,          75.11,  +1.85,  +1.52
  2,     UK000H,       0,  0.114944, 2459436.564083566424, 326.83693,  25.84545,              206.96119,  63.02248,       206.96286,       63.02272,    326.83693,     +25.84545,     326.83670,      +25.84592,  3879263.96, -1433516.34,  4973962.44,      50.443853,       -2.107383,  103174.77,  115508.55,    4611.51,             6112.67,  -164.86,  58091.57,           59065.87,      0.53,     -1.51,           2.86,  +1.70,  +1.39
  3,     UK000H,       0,  0.155948, 2459436.564084040932, 326.06256,  24.88895,              207.73056,  61.89201,       207.73263,       61.89231,    326.06256,     +24.88895,     326.06230,      +24.88955,  3878287.10, -1434538.36,  4971722.74,      50.435064,       -2.125529,  101090.14,  114326.24,    7260.11,             8761.27,    77.50,  64593.65,           59065.87,      0.68,     -1.92,           3.67,  +1.41,  +1.12
  4,     UK000H,       0,  0.196852, 2459436.564084514044, 325.38706,  24.02555,              208.35652,  60.87531,       208.37546,       60.87802,    325.38706,     +24.02555,     325.37932,      +24.03113,  3877430.24, -1435434.84,  4969758.17,      50.427348,       -2.141470,   99261.91,  113330.53,    9583.34,            11084.50,     0.37,  56797.19,           59133.44,      6.34,    -17.92,          34.60,  +1.52,  +1.25
  5,     UK000H,       0,  0.237844, 2459436.564084988553, 324.62093,  23.09012,              209.06991,  59.76021,       209.03805,       59.75568,    324.62093,     +23.09012,     324.63672,      +23.08050,  3876501.54, -1436406.49,  4967628.88,      50.418978,       -2.158739,   97280.73,  112295.68,   12101.37,            13602.53,   112.87,  61427.37,           59481.15,    -10.92,     30.79,          60.01,  +1.32,  +1.07
  6,     UK000H,       0,  0.278760, 2459436.564085462131, 323.96503,  22.20882,              209.60755,  58.72701,       209.60685,       58.72691,    323.96503,     +22.20882,     323.96653,      +22.20860,  3875667.14, -1437279.47,  4965715.80,      50.411451,       -2.174275,   95501.03,  111406.77,   14363.71,            15864.87,   -25.86,  55292.21,           59156.42,     -0.24,      0.69,           1.35,  +1.53,  +1.30
  0,     UK0025,       1,  2.084295, 2459436.564106360544,  18.29580,  26.28420,              114.37273,  51.31447,       118.43973,       55.99529,     18.29580,     +26.28420,      12.86209,      +28.36419,  3888498.30, -1423854.99,  4995134.60,      50.526518,       -1.945933,  122880.27,  147503.40,       0.00,            18924.81, -102919.99,      0.00,           67414.46,  -7239.08, -11431.88,       18946.03,  +4.84,  +4.00
  1,     UK0025,       1,  2.124823, 2459436.564106829930,  17.95430,  25.57832,              115.46622,  50.96534,       119.71604,       55.70262,     17.95430,     +25.57832,      12.43559,      +27.68806,  3887312.30, -1425095.83,  4992415.39,      50.515943,       -1.967871,  120343.93,  144957.82,    3215.66,            15709.15, -108513.95,  79344.04,           67414.46,  -7265.30, -11464.19,       19338.63,  +3.59,  +2.78
  2,     UK0025,       1,  2.165255, 2459436.564107297920,  17.66888,  24.99340,              116.36535,  50.67198,       120.76088,       55.45062,     17.66888,     +24.99340,      12.08494,      +27.12648,  3886359.02, -1426093.19,  4990229.73,      50.507434,       -1.985541,  118305.54,  142930.27,    5800.33,            13124.47, -113471.29,  63926.57,           67414.46,  -7279.53, -11482.70,       19647.37,  +3.11,  +2.33
  3,     UK0025,       1,  2.205659, 2459436.564107765444,  17.36388,  24.43710,              117.25008,  50.40724,       121.75706,       55.19920,     17.36388,     +24.43710,      11.74948,      +26.58357,  3885463.54, -1427030.08,  4988176.62,      50.499434,       -2.002155,  116391.04,  141042.09,    8228.27,            10696.53, -118270.25,  60091.49,           67414.46,  -7243.99, -11444.06,       19835.19,  +3.09,  +2.34
  4,     UK0025,       1,  2.246139, 2459436.564108233899,  17.04271,  23.78649,              118.23501,  50.07198,       122.89025,       54.89871,     17.04271,     +23.78649,      11.36686,      +25.95598,  3884459.01, -1428081.06,  4985873.47,      50.490451,       -2.020776,  114243.88,  138944.93,   10951.90,             7972.90, -123369.37,  67283.43,           66540.08,  -7245.43, -11447.90,       20141.38,  +2.90,  +2.19
  5,     UK0025,       1,  2.286615, 2459436.564108702354,  16.71666,  23.13739,              119.21331,  49.73467,       124.00638,       54.58797,     16.71666,     +23.13739,      10.98820,      +25.32748,  3883483.85, -1429101.31,  4983637.66,      50.481723,       -2.038863,  112159.88,  136930.25,   13595.89,             5328.91, -128388.61,  65322.42,           66116.20,  -7234.89, -11437.95,       20417.29,  +2.86,  +2.18
  6,     UK0025,       1,  2.327111, 2459436.564109171275,  16.37720,  22.46009,              120.22187,  49.37605,       125.15239,       54.25298,     16.37720,     +22.46009,      10.59740,      +24.67079,  3882496.06, -1430134.78,  4981372.89,      50.472872,       -2.057187,  110049.30,  134911.95,   16274.13,             2650.68, -133443.27,  66135.80,           65966.94,  -7220.29, -11423.32,       20692.63,  +2.86,  +2.21
  0,     UK0038,       0,  0.000000, 2459436.564082236961, 348.25728,   7.78621,              167.42253,  45.82141,       167.41594,       45.81789,    348.25728,      +7.78621,     348.26236,       +7.78336,  3881511.94, -1431164.40,  4979116.54,      50.464046,       -2.065557,  107973.51,  149164.02,       0.00,               17.61,   485.30,      0.00,           53911.68,      2.70,     14.81,          20.82,  +3.98,  +3.11
  1,     UK0038,       1,  0.040580, 2459436.564082706813, 347.76663,   6.93869,              168.26994,  45.04586,       168.26092,       45.04109,    347.76663,      +6.93869,     347.77378,       +6.93478,  3880500.39, -1432222.73,  4976797.30,      50.454965,       -2.084328,  105813.92,  148101.70,    2742.66,             2760.27,   846.61,  67586.53,           53911.68,      3.69,     20.24,          28.66,  +5.87,  +5.02
  2,     UK0038,       0,  0.080908, 2459436.564083173405, 347.49028,   6.46387,              168.73776,  44.60917,       168.72713,       44.60357,    347.49028,      +6.46387,     347.49887,       +6.45924,  3879939.94, -1432809.10,  4975512.31,      50.449930,       -2.094805,  104617.56,  147531.14,    4262.25,             4279.86,    -0.37,  37680.67,           53911.68,      4.35,     23.85,          33.89,  +2.19,  +1.35
  3,     UK0038,       0,  0.121448, 2459436.564083642792, 347.03486,   5.67355,              169.49627,  43.87811,       169.48314,       43.87124,    347.03486,      +5.67355,     347.04561,       +5.66782,  3879016.95, -1433774.76,  4973396.12,      50.441631,       -2.111955,  102647.62,  146622.25,    6764.78,             6782.39,   123.16,  61729.96,           53911.68,      5.37,     29.44,          42.10,  +2.23,  +1.40
  4,     UK0038,       0,  0.161908, 2459436.564084110782, 346.66151,   5.00967,              170.10788,  43.25961,       170.10130,       43.25618,    346.66151,      +5.00967,     346.66734,       +5.00679,  3878254.85, -1434572.10,  4971648.81,      50.434774,       -2.126147,  101021.33,  145899.76,    8831.08,             8848.69,  -184.85,  51070.23,           53586.47,      2.69,     14.75,          21.20,  +2.43,  +1.61
  5,     UK0038,       0,  0.202460, 2459436.564084580168, 346.23594,   4.22006,              170.79571,  42.51834,       170.81279,       42.52717,    346.23594,      +4.22006,     346.22334,       +4.22759,  3877366.24, -1435501.80,  4969611.43,      50.426772,       -2.142672,   99125.36,  145090.38,   11240.42,            11258.03,  -155.22,  59413.53,           54327.80,     -6.99,    -38.30,          55.35,  +2.22,  +1.41
  6,     UK0038,       0,  0.243056, 2459436.564085050020, 345.72202,   3.35180,              171.59588,  41.70318,       171.59299,       41.70169,    345.72202,      +3.35180,     345.72532,       +3.35052,  3876377.79, -1436535.96,  4967345.15,      50.417862,       -2.161040,   97016.77,  144232.39,   13920.45,            13938.06,   142.52,  66017.06,           55848.69,      1.18,      6.48,           9.42,  +2.58,  +1.78
  7,     UK0038,       0,  0.283584, 2459436.564085519407, 345.30338,   2.59418,              172.23932,  40.98524,       172.24749,       40.98942,    345.30338,      +2.59418,     345.29805,       +2.59782,  3875538.79, -1437413.76,  4965421.52,      50.410293,       -2.176660,   95227.29,  143539.34,   16195.27,            16212.88,    39.04,  56129.64,           56505.02,     -3.35,    -18.38,          26.84,  +2.38,  +1.60

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.