Orbital Analysis for matched events on 20210816_035125.844_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.94° Bg 36.87° Vg 59.44km/s
mass 0.03576g, abs. mag -0.6
Path Details
------------
start -2.83° 50.73° 106.63km
end   -2.92° 50.70° 89.40km

Orbit Details
-------------
Semimajor axis 13.27A.U., eccentricity 0.93, inclination 114.94°, Period 48.34Y, LA Sun 143.22°, last Perihelion 2021-07-23

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: 2459442.660715798382
Time: 2021-08-16 03:51:25.844980 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003C
 Convergence angle = 3.43327 deg
 R.A. =  54.68300  Dec = +57.70014 deg

Best intersection: Stations UK000H and UK003C with Qconv = 3.43 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3869593.32 +/- 794.24 m
 Y =   1392346.73 +/- 461.30 m
 Z =   4997411.28 +/- 555.77 m
 Vx =    18102.23 +/- 4232.29 m/s
 Vy =    26689.92 +/- 5117.28 m/s
 Vz =    51154.35 +/- 3655.99 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.310052e+04, -2.725726e+04, +1.928921e+04, +7.747444e+04, -1.360648e+05, -7.232158e+04
-2.725726e+04, +2.126865e+04, -9.120411e+03, -6.563293e+04, +1.048897e+05, +4.086237e+04
+1.928921e+04, -9.120411e+03, +1.250103e+04, +2.671394e+04, -6.193875e+04, -4.217330e+04
+7.747444e+04, -6.563293e+04, +2.671394e+04, +4.455795e+05, -6.797263e+05, -1.946769e+05
-1.360648e+05, +1.048897e+05, -6.193875e+04, -6.797263e+05, +1.252745e+06, +5.203971e+05
-7.232158e+04, +4.086237e+04, -4.217330e+04, -1.946769e+05, +5.203971e+05, +3.471331e+05

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK003C: 0.009097 s

Reference point on the trajectory:
  Time: 2021-08-16 03:51:25.844980 UTC
  Lon     = +-2.833474 +/- 0.0096 deg
  Lat     = +50.733972 +/- 0.0015 deg
  Lat geo = +50.548373 +/- 0.0014 deg
  Ht      =  106566.75 +/- 808.01 m

  JD dynamic   = 2459442.661516539287 
  LST apparent = 19.7896102659 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  55.85322 +/- 8.0337 deg
  Dec       = +57.77107 +/- 0.4982 deg
  Azimuth   =  57.28878 +/- 9.8311 deg
  Elevation = +68.09171 +/- 3.8350 deg
  Vavg      =  57.98466 +/- 0.9140 km/s
  Vinit     =  60.47157 +/- 3.9900 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  56.28155 +/- 8.0337 deg
  Dec       = +57.62908 +/- 0.4982 deg
  Azimuth   =  57.69575 +/- 9.8311 deg
  Elevation = +67.86975 +/- 3.8350 deg
  Vavg      =  58.07947 +/- 0.9140 km/s
  Vinit     =  60.56638 +/- 3.9900 km/s
Radiant (geocentric, J2000):
  R.A.   =  55.77539 +/- 8.0958 deg
  Dec    = +57.71482 +/- 0.5065 deg
  Vg     =  59.44440 +/- 4.0445 km/s
  Vinf   =  60.47157 +/- 3.9900 km/s
  Zc     =  22.00911 +/- 3.8201 deg
  Zg     =  22.19999 +/- 3.8588 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.94376 +/- 5.1754 deg
  Bg     = +36.86880 +/- 1.7317 deg
  Vh     =  41.05195 +/- 4.1676 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  88.53654 +/- 11.9245 deg
  Bh     = +60.31910 +/- 2.3092 deg
  Vh_x   =  -0.51916 +/- 4.7378 km/s
  Vh_y   = -20.32103 +/- 1.8120 km/s
  Vh_z   = -35.66580 +/- 3.8878 km/s
Orbit:
  La Sun = 143.224660 +/- 0.0000 deg
  a      =  13.269495 +/- 73.0725 AU
  e      =   0.930172 +/- 0.4705
  i      = 114.942692 +/- 1.1230 deg
  peri   = 145.450986 +/- 11.8773 deg
  node   = 143.225131 +/- 0.0001 deg
  Pi     = 288.676117 +/- 11.8773 deg
  q      =   0.926588 +/- 0.0342 AU
  f      =  34.545722 +/- 11.8773 deg
  M      =   0.487335 +/- nan deg
  Q      =  25.612402 +/- 146.1603 AU
  n      =   0.020390 +/- 0.6801 deg/day
  T      =  48.337282 +/- 462634332.2128 years
  Last perihelion JD = 2459418.761106 (2021-07-23 06:15:59.537745) +/- 1.1954 days
  Tj     =  -0.102235 +/- 2.5291
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.394658e-03, -5.170673e-04, -1.991430e-02, -5.123306e-08, -1.305946e-03, +8.187756e-04
q   , -5.170673e-04, +1.912467e-04, +1.611574e-02, +1.103984e-08, +5.925730e-04, -1.751697e-04
Tp  , -1.991430e-02, +1.611574e-02, +1.648189e+00, +6.847995e-07, +5.362682e-02, -1.080580e-02
node, -5.123306e-08, +1.103984e-08, +6.847995e-07, +8.944287e-13, +3.117850e-08, -1.426342e-08
peri, -1.305946e-03, +5.925730e-04, +5.362682e-02, +3.117850e-08, +1.883421e-03, -4.940236e-04
i   , +8.187756e-04, -1.751697e-04, -1.080580e-02, -1.426342e-08, -4.940236e-04, +2.274864e-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: UK000H
  Avg. res. = 1.005e-05 s
  Stddev    = 3.17e-03 s

Begin point on the trajectory:
  Lon =    -2.833174 +/- 0.0096 deg
  Lat =    50.734095 +/- 0.0015 deg
  Ht  = 106630.47 +/- 804.94 m
End point on the trajectory:
  Lon =    -2.915928 +/- 0.0091 deg
  Lat =    50.700869 +/- 0.0013 deg
  Ht  = 89402.20 +/- 730.34 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,   0.000000,   0.000000,   106630.47,    89402.20,          0.009165,     19.65,      4.98,              51.95, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210816_035121_113_0699904.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,   0.000000,  65.396055,   105618.91,    90154.43,          0.014074,     43.71,     14.26,              38.76, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20210816_035121_555_0685824.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,  0.000000, 2459442.660715798382, 336.49543,  34.28809,              259.92598,  54.08424,       259.95370,       54.08148,    336.49543,     +34.28809,     336.47995,      +34.29850,  3869613.88,  1392377.04,  4997469.38,      50.734095,       -2.833174,  106630.47,  131078.30,       0.00,               68.68,   456.39,      0.00,           57891.14,      9.25,    -36.58,          59.37,  +2.19,  +1.60
  1,     UK000H,       0,  0.040608, 2459442.660716268234, 335.87296,  33.69376,              259.75084,  53.30396,       259.73628,       53.30541,    335.87296,     +33.69376,     335.88138,      +33.68823,  3868973.87,  1391433.41,  4995660.81,      50.730282,       -2.842697,  104646.90,  129904.59,    2137.99,             2069.31,     1.39,  52649.43,           57891.14,     -4.91,     19.38,          31.75,  +0.40,  -0.17
  2,     UK000H,       0,  0.081312, 2459442.660716739483, 335.21270,  32.99678,              259.50381,  52.42775,       259.49967,       52.42816,    335.21270,     +32.99678,     335.21543,      +32.99519,  3868263.93,  1390386.68,  4993654.62,      50.726049,       -2.853247,  102446.70,  128631.06,    4509.58,             4440.90,   -88.46,  58264.26,           57891.14,     -1.41,      5.57,           9.22,  -0.02,  -0.57
  3,     UK000H,       0,  0.122088, 2459442.660717211664, 334.50151,  32.22614,              259.24027,  51.46527,       259.25023,       51.46428,    334.50151,     +32.22614,     334.49617,      +32.23002,  3867499.72,  1389259.92,  4991495.07,      50.721488,       -2.864597,  100078.41,  127294.91,    7062.47,             6993.79,    -1.35,  62607.77,           57891.14,      3.43,    -13.54,          22.63,  -0.09,  -0.61
  4,     UK000H,       0,  0.162908, 2459442.660717683844, 333.75067,  31.40915,              258.98679,  50.44105,       258.99650,       50.44009,    333.75067,     +31.40915,     333.74555,      +31.41298,  3866704.95,  1388088.11,  4989249.15,      50.716739,       -2.876401,   97615.55,  125945.04,    9717.45,             9648.77,   185.18,  65041.23,           59810.16,      3.38,    -13.34,          22.54,  -0.18,  -0.68
  5,     UK000H,       0,  0.203644, 2459442.660718155559, 333.08156,  30.67812,              258.78080,  49.52154,       258.77861,       49.52175,    333.08156,     +30.67812,     333.08374,      +30.67725,  3866007.04,  1387059.12,  4987276.97,      50.712566,       -2.886792,   95452.98,  124795.27,   12048.84,            11980.17,    53.20,  57231.71,           59988.73,     -0.77,      3.04,           5.18,  -0.31,  -0.79
  6,     UK000H,       0,  0.244448, 2459442.660718627740, 332.37103,  29.87433,              258.55483,  48.52122,       258.55036,       48.52167,    332.37103,     +29.87433,     332.37481,      +29.87253,  3865261.26,  1385959.54,  4985169.50,      50.708102,       -2.897889,   93142.16,  123603.04,   14540.17,            14471.49,    77.05,  61055.97,           60167.01,     -1.59,      6.27,          10.79,  -0.35,  -0.81
  7,     UK000H,       0,  0.285292, 2459442.660719100386, 331.62775,  29.02810,              258.33747,  47.46583,       258.31936,       47.46763,    331.62775,     +29.02810,     331.64030,      +29.02071,  3864490.51,  1384823.15,  4982991.46,      50.703485,       -2.909359,   90754.10,  122411.87,   17114.92,            17046.24,   181.89,  63038.47,           60481.16,     -6.50,     25.63,          44.55,  -0.39,  -0.83
  8,     UK000H,       0,  0.325792, 2459442.660719569307, 331.23202,  28.52110,              258.17344,  46.86174,       258.19156,       46.85994,    331.23202,     +28.52110,     331.22191,      +28.52853,  3864054.18,  1384179.82,  4981758.46,      50.700869,       -2.915928,   89402.20,  121759.96,   18572.50,            18503.82,  -809.63,  35989.67,           59005.91,      6.53,    -25.79,          45.07,  +2.36,  +1.93
  0,     UK003C,       0,  0.016912, 2459442.660715849604,  99.95000,  37.55638,               68.58534,  32.45450,        68.55898,       32.45123,     99.95000,     +37.55638,      99.97165,      +37.57093,  3869287.50,  1391895.82,  4996547.07,      50.732151,       -2.837961,  105618.91,  192925.35,       0.00,             1021.62,   386.65,      0.00,           56111.00,     23.54,    -71.95,          80.94,  +1.78,  +0.35
  1,     UK003C,       0,  0.057268, 2459442.660716316663, 100.31129,  37.27763,               68.60811,  32.05492,        68.62617,       32.05715,    100.31129,     +37.27763,     100.29662,      +37.26765,  3868590.99,  1390868.90,  4994578.86,      50.727999,       -2.848312,  103460.31,  191014.35,    2326.70,             3348.32,   272.96,  57654.44,           56111.00,    -15.98,     49.04,          55.70,  +1.26,  -0.15
  2,     UK003C,       0,  0.097604, 2459442.660716783721, 100.58715,  36.98166,               68.69653,  31.69391,        68.68766,       31.69281,    100.58715,     +36.98166,     100.59482,      +36.98656,  3867958.92,  1389936.97,  4992792.71,      50.724229,       -2.857724,  101501.47,  189287.38,    4438.18,             5459.79,   -54.75,  52347.13,           56111.00,      7.82,    -23.95,          27.46,  +0.71,  -0.68
  3,     UK003C,       0,  0.137992, 2459442.660717251245, 100.94031,  36.66013,               68.75610,  31.26879,        68.75872,       31.26911,    100.94031,     +36.66013,     100.93867,      +36.65868,  3867238.59,  1388874.92,  4990757.16,      50.719928,       -2.868433,   99269.20,  187330.30,    6844.49,             7866.10,   -90.76,  59579.83,           56111.00,     -2.30,      7.04,           8.16,  +0.46,  -0.90
  4,     UK003C,       0,  0.178412, 2459442.660717718769, 101.30747,  36.30437,               68.83307,  30.81122,        68.83482,       30.81144,    101.30747,     +36.30437,     101.30671,      +36.30340,  3866477.25,  1387752.40,  4988605.72,      50.715378,       -2.879747,   96909.99,  185273.96,    9387.79,            10409.40,     8.28,  62921.80,           57696.97,     -1.52,      4.67,           5.47,  +0.28,  -1.06
  5,     UK003C,       0,  0.218800, 2459442.660718186293, 101.66194,  35.98054,               68.88699,  30.38151,        68.90517,       30.38376,    101.66194,     +35.98054,     101.64767,      +35.97049,  3865780.52,  1386725.14,  4986636.85,      50.711211,       -2.890121,   94751.07,  183402.09,   11715.26,            12736.88,  -106.57,  57627.86,           58139.75,    -15.71,     48.23,          57.04,  +0.22,  -1.10
  6,     UK003C,       0,  0.259212, 2459442.660718654282, 102.02653,  35.62909,               68.95470,  29.92597,        68.97935,       29.92901,    102.02653,     +35.62909,     102.00698,      +35.61546,  3865055.12,  1385655.60,  4984586.97,      50.706868,       -2.900920,   92503.43,  181464.89,   14138.51,            15160.13,  -127.10,  59963.66,           58493.42,    -21.15,     64.98,          77.68,  +0.04,  -1.25
  7,     UK003C,       0,  0.299656, 2459442.660719122272, 102.39331,  35.23973,               69.04928,  29.44207,        69.05790,       29.44314,    102.39331,     +35.23973,     102.38729,      +35.23497,  3864296.96,  1384537.78,  4982444.52,      50.702324,       -2.912205,   90154.43,  179453.40,   16671.18,            17692.80,   -40.15,  62621.54,           58985.30,     -7.36,     22.57,          27.29,  -0.14,  -1.41
  8,     UK003C,       1,  0.339952, 2459442.660719588399, 102.61711,  34.97007,               69.13179,  29.12417,        69.10909,       29.12136,    102.61711,     +34.97007,     102.63754,      +34.98261,  3863803.07,  1383809.59,  4981048.87,      50.699362,       -2.919618,   88624.24,  178146.85,   18321.03,            19342.65,  -827.05,  40943.38,           58014.85,     19.33,    -59.17,          72.08,  +4.25,  +3.00

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.