Orbital Analysis for matched events on 20210810_222304.627_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 46.22° Bg 38.80° Vg 60.27km/s
mass 0.06896g, abs. mag -1.6
Path Details
------------
start 1.96° 49.56° 109.27km
end   1.75° 49.44° 93.61km

Orbit Details
-------------
Semimajor axis 71.05A.U., eccentricity 0.99, inclination 114.92°, Period 598.85Y, LA Sun 138.20°, last Perihelion 1422-10-01

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: 2459437.432692445815
Time: 2021-08-10 22:23:04.627318 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002N
 Convergence angle = 7.34753 deg
 R.A. =  28.56096  Dec = +54.21188 deg

Best intersection: Stations UK002C and UK002N with Qconv = 7.35 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1936568.77 +/- 1322.84 m
 Y =  -3745245.67 +/- 527.59 m
 Z =   4914337.91 +/- 192.46 m
 Vx =    32844.03 +/- 4102.90 m/s
 Vy =    16053.25 +/- 2049.06 m/s
 Vz =    49184.06 +/- 1846.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.712932e+06, -6.815252e+05, -2.312215e+05, +4.858523e+06, -1.973945e+06, -7.093202e+05
-6.815252e+05, +2.735163e+05, +9.273177e+04, -1.921879e+06, +7.875455e+05, +2.768140e+05
-2.312215e+05, +9.273177e+04, +3.504421e+04, -6.608247e+05, +2.683883e+05, +9.820271e+04
+4.858523e+06, -1.921879e+06, -6.608247e+05, +1.497077e+07, -6.019837e+06, -2.332601e+06
-1.973945e+06, +7.875455e+05, +2.683883e+05, -6.019837e+06, +2.447813e+06, +9.255849e+05
-7.093202e+05, +2.768140e+05, +9.820271e+04, -2.332601e+06, +9.255849e+05, +3.881196e+05

Timing offsets (from input data):
    UK002C: 0.000216 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 22:23:04.627318 UTC
  Lon     = ++1.960543 +/- 0.0127 deg
  Lat     = +49.558662 +/- 0.0083 deg
  Lat geo = +49.371780 +/- 0.0083 deg
  Ht      =  109335.76 +/- 559.65 m

  JD dynamic   = 2459437.433493186720 
  LST apparent = 297.3423045684 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  26.04809 +/- 6.3424 deg
  Dec       = +53.37747 +/- 2.1363 deg
  Azimuth   =  49.44490 +/- 4.6890 deg
  Elevation = +38.28417 +/- 1.4161 deg
  Vavg      =  60.59596 +/- 0.7579 km/s
  Vinit     =  61.28220 +/- 0.7427 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  26.05889 +/- 6.3424 deg
  Dec       = +53.14751 +/- 2.1363 deg
  Azimuth   =  49.68185 +/- 4.6890 deg
  Elevation = +38.14902 +/- 1.4161 deg
  Vavg      =  60.77982 +/- 0.7579 km/s
  Vinit     =  61.46606 +/- 0.7427 km/s
Radiant (geocentric, J2000):
  R.A.   =  26.33991 +/- 6.3713 deg
  Dec    = +53.00787 +/- 2.1090 deg
  Vg     =  60.26936 +/- 0.7558 km/s
  Vinf   =  61.28220 +/- 0.7427 km/s
  Zc     =  51.83747 +/- 1.4262 deg
  Zg     =  52.30151 +/- 1.4541 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  46.21676 +/- 5.2560 deg
  Bg     = +38.80187 +/- 0.5053 deg
  Vh     =  41.68903 +/- 0.3174 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  41.95377 +/- 14.4975 deg
  Bh     = +64.94915 +/- 0.6247 deg
  Vh_x   = -13.12757 +/- 3.8991 km/s
  Vh_y   = -11.80095 +/- 1.6967 km/s
  Vh_z   = -37.76744 +/- 0.2076 km/s
Orbit:
  La Sun = 138.204064 +/- -0.0000 deg
  a      =  71.046696 +/- 13.3665 AU
  e      =   0.985764 +/- 0.0291
  i      = 114.920143 +/- 1.7128 deg
  peri   = 185.325397 +/- 11.8282 deg
  node   = 138.202371 +/- 0.0001 deg
  Pi     = 323.527769 +/- 11.8281 deg
  q      =   1.011418 +/- 0.0257 AU
  f      = 354.670427 +/- 11.8283 deg
  M      = 359.993567 +/- 0.2230 deg
  Q      = 141.081975 +/- 26.7306 AU
  n      =   0.001646 +/- 0.0115 deg/day
  T      = 598.847813 +/- 116.7500 years
  Last perihelion JD = 2240708.368099 (1422-10-01 20:50:03.713152) +/- 44247.8419 days
  Tj     =  -0.450261 +/- 0.1712
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.004742e-04, +9.642953e-05, -1.028489e+03, -2.650762e-08, +2.724205e-03, +3.358879e-04
q   , +9.642953e-05, +5.634390e-04, -3.410659e+02, -5.020209e-08, +4.490210e-03, +6.505024e-04
Tp  , -1.028489e+03, -3.410659e+02, +2.613386e+09, +4.971109e-02, -5.024271e+03, -6.366677e+02
node, -2.650762e-08, -5.020209e-08, +4.971109e-02, +5.156860e-12, -4.567240e-07, -6.656700e-08
peri, +2.724205e-03, +4.490210e-03, -5.024271e+03, -4.567240e-07, +4.121061e-02, +5.894918e-03
i   , +3.358879e-04, +6.505024e-04, -6.366677e+02, -6.656700e-08, +5.894918e-03, +8.593768e-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: UK002N
  Avg. res. = 4.329e-06 s
  Stddev    = 2.08e-03 s

Begin point on the trajectory:
  Lon =     1.959708 +/- 0.0126 deg
  Lat =    49.558197 +/- 0.0083 deg
  Ht  = 109271.91 +/- 551.93 m
End point on the trajectory:
  Lon =     1.752651 +/- 0.0053 deg
  Lat =    49.443461 +/- 0.0033 deg
  Ht  = 93608.16 +/- 202.38 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
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   101027.93,    93608.16,          0.015455,     93.46,      1.45,              75.32, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210810_222300_944_0189440.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.403926,  13.530651,   109271.91,    93999.33,          0.013414,     67.44,      7.69,              79.19, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210810_222301_049_0196352.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,     UK002C,       1,  0.139131, 2459437.432694053277, 345.19673,  -8.30707,              126.31456,  15.71652,       126.35911,       15.77770,    345.19673,      -8.30707,     345.12857,       -8.27618,  1932173.22, -3747394.09,  4907755.57,      49.521615,       +1.893493,  104257.57,  350653.49,       0.00,             8201.45,  -523.40,      0.00,           63126.10,     -7.84,   -457.17,         268.96,  +4.35,  +1.63
  1,     UK002C,       1,  0.179259, 2459437.432694517542, 344.87640,  -8.79464,              126.85470,  15.45693,       126.84844,       15.44834,    344.87640,      -8.79464,     344.88682,       -8.79900,  1930184.63, -3748366.06,  4904777.64,      49.504823,       +1.863253,  101962.22,  349435.56,    3710.43,            11911.87,   727.90,  92464.83,           63126.10,      1.00,     64.00,          37.78,  +5.28,  +2.56
  2,     UK002C,       0,  0.219359, 2459437.432694981806, 344.80046,  -9.01949,              127.03967,  15.30080,       127.04900,       15.31356,    344.80046,      -9.01949,     344.78698,       -9.01301,  1929374.91, -3748761.82,  4903565.09,      49.497980,       +1.850840,  101027.93,  348944.43,    5221.24,            13422.69,  -218.70,  37676.19,           63126.10,     -1.52,    -95.09,          56.22,  +1.18,  -1.53
  3,     UK002C,       0,  0.259487, 2459437.432695446070, 344.60074,  -9.39650,              127.41294,  15.07444,       127.40928,       15.06944,    344.60074,      -9.39650,     344.60746,       -9.39904,  1927919.07, -3749473.40,  4901384.96,      49.485668,       +1.828656,   99348.69,  348083.45,    7937.63,            16139.07,    38.55,  67692.98,           63126.10,      0.58,     37.18,          22.03,  +0.69,  -2.02
  4,     UK002C,       0,  0.299631, 2459437.432695910800, 344.45030,  -9.75648,              127.73278,  14.83756,       127.73857,       14.84545,    344.45030,      -9.75648,     344.44262,       -9.75246,  1926592.22, -3750121.93,  4899397.99,      49.474438,       +1.808422,   97818.82,  347314.70,   10413.35,            18614.79,    54.15,  61670.97,           62443.52,     -0.93,    -58.64,          34.83,  +1.20,  -1.50
  5,     UK002C,       0,  0.339759, 2459437.432696375065, 344.29046, -10.10408,              128.05355,  14.61539,       128.06088,       14.62534,    344.29046,     -10.10408,     344.28059,      -10.09899,  1925296.60, -3750755.19,  4897457.79,      49.463463,       +1.788660,   96325.51,  346579.35,   12830.79,            21032.23,    12.46,  60243.26,           61934.21,     -1.18,    -73.91,          44.00,  +0.70,  -2.00
  6,     UK002C,       0,  0.379859, 2459437.432696839329, 344.08854, -10.44269,              128.40586,  14.42092,       128.39012,       14.39956,    344.08854,     -10.44269,     344.11439,      -10.45363,  1923975.91, -3751400.70,  4895480.07,      49.452268,       +1.768519,   94803.87,  345845.82,   15294.99,            23496.44,    19.25,  61451.46,           61700.67,      2.41,    158.44,          94.51,  +0.79,  -1.90
  7,     UK002C,       0,  0.419971, 2459437.432697303593, 343.96725, -10.72726,              128.65861,  14.23324,       128.64971,       14.22119,    343.96725,     -10.72726,     343.98272,      -10.73345,  1922937.80, -3751908.10,  4893925.49,      49.443461,       +1.752651,   93608.16,  345278.66,   17231.95,            25433.40,  -501.94,  48288.85,           60486.06,      1.37,     89.31,          53.36,  +1.38,  -1.31
  0,     UK002N,       0,  0.000000, 2459437.432692445815, 337.62442,  -7.42137,              133.73912,  20.68773,       133.75263,       20.70572,    337.62442,      -7.42137,     337.60480,       -7.41112,  1936513.54, -3745272.66,  4914255.20,      49.558197,       +1.959708,  109271.91,  292567.84,       0.00,              103.05,   -95.55,      0.00,           62938.89,     12.70,   -111.55,          79.15,  +3.03,  +0.70
  1,     UK002N,       0,  0.040268, 2459437.432692911942, 337.37072,  -7.83488,              134.17904,  20.43366,       134.17536,       20.42877,    337.37072,      -7.83488,     337.37623,       -7.83767,  1935139.17, -3745944.41,  4912197.09,      49.546624,       +1.938757,  107683.47,  291829.45,    2564.36,             2667.41,     1.10,  63682.38,           62938.89,     -3.46,     30.28,          21.54,  +2.20,  -0.13
  2,     UK002N,       0,  0.080520, 2459437.432693377603, 337.17029,  -8.21354,              134.55025,  20.18550,       134.54833,       20.18297,    337.17029,      -8.21354,     337.17341,       -8.21499,  1933928.87, -3746535.98,  4910384.65,      49.536424,       +1.920286,  106285.13,  291195.51,    4822.62,             4925.67,  -207.37,  56103.10,           62938.89,     -1.80,     15.70,          11.19,  +1.50,  -0.82
  3,     UK002N,       0,  0.120844, 2459437.432693844661, 336.91888,  -8.70035,              135.01940,  19.86219,       135.02322,       19.86722,    336.91888,      -8.70035,     336.91385,       -8.69746,  1932388.15, -3747289.04,  4908077.43,      49.523429,       +1.896819,  104505.75,  290414.18,    7697.37,             7800.42,   196.23,  71291.11,           62938.89,      3.55,    -31.13,          22.25,  +1.42,  -0.90
  4,     UK002N,       0,  0.161112, 2459437.432694310322, 336.72158,  -9.09871,              135.39357,  19.59267,       135.40713,       19.61047,    336.72158,      -9.09871,     336.70264,       -9.08845,  1931145.24, -3747896.54,  4906216.15,      49.512937,       +1.877855,  103070.85,  289801.72,   10016.47,            10119.52,    47.62,  57591.74,           62478.02,     12.55,   -110.11,          78.88,  +1.68,  -0.63
  5,     UK002N,       0,  0.201400, 2459437.432694776915, 336.49232,  -9.53040,              135.81169,  19.30615,       135.82773,       19.32713,    336.49232,      -9.53040,     336.46999,       -9.51828,  1929784.31, -3748561.72,  4904178.17,      49.501440,       +1.857105,  101500.29,  289151.81,   12555.76,            12658.80,   117.97,  63028.32,           62424.99,     14.77,   -129.70,          93.12,  +1.62,  -0.69
  6,     UK002N,       0,  0.241636, 2459437.432695242576, 336.26472,  -9.89870,              136.19685,  19.07453,       136.19814,       19.07621,    336.26472,      -9.89870,     336.26387,       -9.89772,  1928587.59, -3749146.64,  4902386.08,      49.491323,       +1.838839,  100119.71,  288596.75,   14788.66,            14891.71,  -114.88,  55495.22,           61664.47,      1.19,    -10.38,           7.47,  +1.61,  -0.69
  7,     UK002N,       0,  0.281920, 2459437.432695708703, 336.02079, -10.33701,              136.62811,  18.78579,       136.62658,       18.78380,    336.02079,     -10.33701,     336.02417,      -10.33816,  1927203.53, -3749823.14,  4900313.43,      49.479613,       +1.817740,   98523.59,  287976.37,   17371.13,            17474.18,    -1.10,  64106.58,           61551.01,     -1.41,     12.29,           8.86,  +1.14,  -1.16
  8,     UK002N,       0,  0.322200, 2459437.432696174830, 335.80354, -10.75769,              137.02437,  18.50010,       137.02967,       18.50698,    335.80354,     -10.75769,     335.79724,      -10.75368,  1925902.66, -3750458.96,  4898365.38,      49.468598,       +1.797898,   97023.97,  287412.87,   19798.36,            19901.41,   -42.32,  60258.86,           61411.90,      4.85,    -42.45,          30.66,  +0.73,  -1.56
  9,     UK002N,       0,  0.362472, 2459437.432696640957, 335.57270, -11.17459,              137.42975,  18.22237,       137.43384,       18.22765,    335.57270,     -11.17459,     335.56832,      -11.17150,  1924599.11, -3751096.10,  4896413.31,      49.457552,       +1.778015,   95521.81,  286867.83,   22230.60,            22333.64,   -78.04,  60395.27,           61285.64,      3.73,    -32.60,          23.59,  +0.84,  -1.45
 10,     UK002N,       0,  0.402740, 2459437.432697107084, 335.32248, -11.59101,              137.85112,  17.95193,       137.84381,       17.94250,    335.32248,     -11.59101,     335.33470,      -11.59655,  1923277.43, -3751742.10,  4894434.09,      49.446343,       +1.757859,   93999.33,  286335.47,   24696.65,            24799.70,   -79.69,  61241.05,           61214.74,     -6.67,     58.17,          42.18,  +0.95,  -1.33

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.