Orbital Analysis for matched events on 20210810_231524.705_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.32° Bg 37.15° Vg 63.97km/s
mass 0.01884g, abs. mag -0.2
Path Details
------------
start -2.23° 52.16° 110.29km
end   -2.37° 52.06° 99.59km

Orbit Details
-------------
Semimajor axis -2.92A.U., eccentricity 1.32, inclination 117.18°, Period 1000000000.00Y, LA Sun 138.24°, 

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: 2459437.469035947230
Time: 2021-08-10 23:15:24.705841 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK0027
 Convergence angle = 24.60829 deg
 R.A. =  48.68915  Dec = +56.26148 deg

Best intersection: Stations UK000S and UK0027 with Qconv = 24.61 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2359654.90 +/- 49.85 m
 Y =  -3215427.95 +/- 59.24 m
 Z =   5101120.91 +/- 259.42 m
 Vx =    23084.99 +/- 1192.35 m/s
 Vy =    26495.81 +/- 867.23 m/s
 Vz =    54596.73 +/- 1545.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.465264e+03, +4.427710e+02, +1.476245e+03, +2.474227e+03, -3.093782e+03, -5.283792e+03
+4.427710e+02, +2.623734e+03, +5.009437e+03, -6.715066e+03, +5.292916e+03, +1.271203e+04
+1.476245e+03, +5.009437e+03, +1.264423e+04, -1.301557e+04, +8.382019e+03, +4.302780e+04
+2.474227e+03, -6.715066e+03, -1.301557e+04, +3.085639e+04, -2.355680e+04, -7.740307e+04
-3.093782e+03, +5.292916e+03, +8.382019e+03, -2.355680e+04, +2.249285e+04, +4.801887e+04
-5.283792e+03, +1.271203e+04, +4.302780e+04, -7.740307e+04, +4.801887e+04, +3.478802e+05

Timing offsets (from input data):
    UK000S: -0.000637 s
    UK0027: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 23:15:24.705841 UTC
  Lon     = +-2.228008 +/- 0.0007 deg
  Lat     = +52.163060 +/- 0.0018 deg
  Lat geo = +51.979646 +/- 0.0018 deg
  Ht      =  110322.65 +/- 174.89 m

  JD dynamic   = 2459437.469836688135 
  LST apparent = 306.2732350976 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.93535 +/- 0.5726 deg
  Dec       = +57.23220 +/- 0.8064 deg
  Azimuth   =  40.90573 +/- 0.9760 deg
  Elevation = +36.25006 +/- 0.3512 deg
  Vavg      =  63.06129 +/- 1.1420 km/s
  Vinit     =  64.92879 +/- 1.2280 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.83225 +/- 0.5726 deg
  Dec       = +57.02210 +/- 0.8064 deg
  Azimuth   =  41.14538 +/- 0.9760 deg
  Elevation = +36.15068 +/- 0.3512 deg
  Vavg      =  63.21534 +/- 1.1420 km/s
  Vinit     =  65.08284 +/- 1.2280 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.10707 +/- 0.5553 deg
  Dec    = +56.86397 +/- 0.8228 deg
  Vg     =  63.97371 +/- 1.2477 km/s
  Vinf   =  64.92879 +/- 1.2280 km/s
  Zc     =  53.88865 +/- 0.3493 deg
  Zg     =  54.32022 +/- 0.3706 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.32215 +/- 0.6780 deg
  Bg     = +37.15180 +/- 0.6892 deg
  Vh     =  45.32907 +/- 1.5088 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  81.42445 +/- 1.0251 deg
  Bh     = +58.46876 +/- 0.1875 deg
  Vh_x   =  -3.53480 +/- 0.2828 km/s
  Vh_y   = -23.44042 +/- 0.7805 km/s
  Vh_z   = -38.63646 +/- 1.3282 km/s
Orbit:
  La Sun = 138.238940 +/- -0.0000 deg
  a      =  -2.915774 +/- 30.8793 AU
  e      =   1.322590 +/- 0.1360
  i      = 117.179282 +/- 0.3758 deg
  peri   = 150.869305 +/- 1.3433 deg
  node   = 138.237334 +/- 0.0000 deg
  Pi     = 289.106640 +/- 1.3434 deg
  q      =   0.940600 +/- 0.0024 AU
  f      =  29.126455 +/- 1.3433 deg
  M      =        nan +/- nan deg
  Q      =  -6.772148 +/- 61.7582 AU
  n      =   0.197958 +/- 0.0582 deg/day
  T      = 1000000000.000000 +/- 498887600.0084 years
  Last perihelion JD = NaN 
  Tj     =  -2.376758 +/- 0.7679
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.530697e-03, +1.572086e-05, +3.586217e-02, +1.165611e-08, +5.079272e-04, -1.378573e-04
q   , +1.572086e-05, +4.753483e-06, +8.081158e-04, +2.008077e-10, +2.032701e-05, -2.382651e-06
Tp  , +3.586217e-02, +8.081158e-04, +5.833825e-01, +1.785701e-07, +9.381097e-03, -2.112725e-03
node, +1.165611e-08, +2.008077e-10, +1.785701e-07, +6.548147e-14, +2.771064e-09, -7.750977e-10
peri, +5.079272e-04, +2.032701e-05, +9.381097e-03, +2.771064e-09, +1.656530e-04, -3.279885e-05
i   , -1.378573e-04, -2.382651e-06, -2.112725e-03, -7.750977e-10, -3.279885e-05, +9.174801e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 6.548077
 a2 = 13.481771

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 4.184e-06 s
  Stddev    = 2.05e-03 s

Begin point on the trajectory:
  Lon =    -2.228370 +/- 0.0002 deg
  Lat =    52.162803 +/- 0.0018 deg
  Ht  = 110294.43 +/- 182.63 m
End point on the trajectory:
  Lon =    -2.367007 +/- 0.0006 deg
  Lat =    52.064951 +/- 0.0012 deg
  Ht  = 99591.20 +/- 114.17 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.001557,  41.842716,   110084.49,    99591.20,          0.014847,     28.70,     37.41,              43.97, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_231525_097_0269056.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   3.083725,  17.429508,   110294.43,    99947.24,          0.026568,     13.50,     60.14,              30.41, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210810_231522_771_0262656.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,     UK000S,       0,  0.003649, 2459437.469035996590, 161.05041,  72.49186,              347.94945,  35.64902,       347.94486,       35.66223,    161.05041,     +72.49186,     161.08082,      +72.50210,  2359511.69, -3215592.31,  5100782.22,      52.160891,       -2.231081,  110084.49,  185772.10,       0.00,              402.78,   329.43,      0.00,           62148.68,    -35.31,    -27.09,          49.41,  +2.21,  +0.87
  1,     UK000S,       0,  0.043729, 2459437.469036460388, 162.08634,  72.18456,              347.43553,  35.51298,       347.42510,       35.54244,    162.08634,     +72.18456,     162.15460,      +72.20706,  2358770.33, -3216443.21,  5099028.88,      52.149659,       -2.247066,  108851.79,  184235.22,    2085.14,             2487.92,  -187.78,  52024.46,           62148.68,    -78.18,    -60.03,         110.36,  +2.62,  +1.29
  2,     UK000S,       0,  0.083805, 2459437.469036924187, 163.56686,  71.77673,              346.70693,  35.35922,       346.70252,       35.37138,    163.56686,     +71.77673,     163.59548,      +71.78583,  2357753.88, -3217609.84,  5096624.95,      52.134249,       -2.268916,  107162.38,  182145.17,    4944.01,             5346.79,    69.00,  71336.17,           62148.68,    -32.00,    -24.55,          45.67,  +1.73,  +0.43
  3,     UK000S,       0,  0.123869, 2459437.469037387986, 164.78262,  71.41522,              346.08367,  35.22069,       346.08358,       35.22093,    164.78262,     +71.41522,     164.78370,      +71.41540,  2356898.88, -3218591.17,  5094602.83,      52.121278,       -2.287319,  105741.92,  180403.94,    7348.79,             7751.58,  -127.52,  60023.62,           62148.68,     -0.63,     -0.48,           0.90,  +1.42,  +0.14
  4,     UK000S,       0,  0.163961, 2459437.469037852250, 166.13746,  70.96520,              345.35025,  35.03761,       345.35020,       35.03775,    166.13746,     +70.96520,     166.13846,      +70.96529,  2355901.58, -3219735.82,  5092244.20,      52.106137,       -2.308755,  104085.79,  178392.23,   10153.79,            10556.57,    74.35,  69963.86,           63806.26,     -0.34,     -0.26,           0.50,  +1.58,  +0.32
  5,     UK000S,       0,  0.204025, 2459437.469038315583, 167.31513,  70.56922,              344.69977,  34.88567,       344.70494,       34.87230,    167.31513,     +70.56922,     167.28485,      +70.55977,  2355039.40, -3220725.39,  5090205.10,      52.093037,       -2.327305,  102654.64,  176670.97,   12578.76,            12981.54,  -101.98,  60527.58,           63811.52,     34.33,     26.29,          50.48,  +1.64,  +0.40
  6,     UK000S,       0,  0.244101, 2459437.469038779847, 168.42298,  70.15782,              344.05525,  34.71910,       344.06150,       34.70325,    168.42298,     +70.15782,     168.38716,      +70.14682,  2354192.68, -3221697.21,  5088202.59,      52.080165,       -2.345524,  101249.72,  174997.04,   14960.24,            15363.02,  -322.59,  59423.95,           63343.30,     40.39,     30.93,          59.97,  +1.73,  +0.51
  7,     UK000S,       0,  0.284209, 2459437.469039243646, 169.65670,  69.64092,              343.28985,  34.49535,       343.28997,       34.49506,    169.65670,     +69.64092,     169.65721,      +69.64072,  2353192.68, -3222844.96,  5085837.56,      52.064951,       -2.367007,   99591.20,  173041.15,   17772.84,            18175.62,  -114.16,  70125.68,           63713.88,      0.75,      0.57,           1.12,  +1.97,  +0.78
  8,     UK000S,       1,  0.324209, 2459437.469039706979, 170.44448,  69.40033,              342.85210,  34.43544,       342.87441,       34.38073,    170.44448,     +69.40033,     170.31938,      +69.36360,  2352663.87, -3223451.90,  5084586.91,      52.056901,       -2.378444,   98714.41,  172017.84,   19260.17,            19662.95, -1223.98,  37183.22,           62121.71,    137.70,    105.22,         207.80,  +4.86,  +3.68
  0,     UK0027,       0,  0.000000, 2459437.469035947230,  44.97926,  85.84115,                6.47540,  50.55052,         6.48282,       50.56473,     44.97926,     +85.84115,      44.77360,      +85.83995,  2359637.93, -3215447.42,  5101080.78,      52.162803,       -2.228370,  110294.43,  141932.16,       0.00,               47.72,   211.28,      0.00,           63395.20,    -36.17,     -8.12,          53.87,  +4.39,  +3.63
  1,     UK0027,       0,  0.039844, 2459437.469036408234,  43.58889,  86.30534,                5.79553,  50.74717,         5.77660,       50.71012,     43.58889,     +86.30534,      44.19068,      +86.30917,  2358793.13, -3216417.05,  5099082.79,      52.150005,       -2.246561,  108889.68,  139850.27,    2376.10,             2423.82,     0.36,  59635.02,           63395.20,     92.77,     20.65,         140.17,  +2.01,  +1.28
  2,     UK0027,       0,  0.079760, 2459437.469036870170,  43.43797,  86.84940,                4.95495,  50.86512,         4.95845,       50.87227,     43.43797,     +86.84940,      43.30304,      +86.84861,  2357849.93, -3217499.60,  5096852.11,      52.135706,       -2.266848,  107321.99,  137537.51,    5028.92,             5076.64,    61.48,  66460.02,           63395.20,    -17.51,     -3.93,          26.92,  +1.81,  +1.12
  3,     UK0027,       0,  0.119628, 2459437.469037331641,  41.92430,  87.37508,                4.15479,  51.03241,         4.15150,       51.02547,     41.92430,     +87.37508,      42.08157,      +87.37602,  2356956.07, -3218525.53,  5094738.08,      52.122146,       -2.286079,  105836.91,  135357.39,    7543.01,             7590.73,   -13.01,  63060.40,           63395.20,     16.69,      3.74,          26.06,  +1.13,  +0.47
  4,     UK0027,       0,  0.159520, 2459437.469037793577,  40.59457,  87.94095,                3.27467,  51.16525,         3.28278,       51.18314,     40.59457,     +87.94095,      40.08449,      +87.93801,  2356030.66, -3219587.67,  5092549.47,      52.108097,       -2.305981,  104300.09,  133113.00,   10145.80,            10193.52,    -0.36,  65245.94,           63834.17,    -42.16,     -9.48,          66.95,  +1.33,  +0.71
  5,     UK0027,       0,  0.199416, 2459437.469038255513,  38.30066,  88.47669,                2.43442,  51.28841,         2.45116,       51.32699,     38.30066,     +88.47669,      36.83358,      +88.46850,  2355179.17, -3220564.97,  5090535.66,      52.095161,       -2.324304,  102886.60,  131059.76,   12540.71,            12588.43,  -195.85,  60028.86,           63415.76,    -89.20,    -20.12,         143.91,  +1.37,  +0.78
  6,     UK0027,       0,  0.239264, 2459437.469038716517,  29.97023,  89.05406,                1.50967,  51.46321,         1.51690,       51.48064,     29.97023,     +89.05406,      28.94966,      +89.04791,  2354258.50, -3221621.67,  5088358.26,      52.081166,       -2.344098,  101358.91,  128853.26,   15130.17,            15177.90,  -193.67,  64983.52,           63434.18,    -39.50,     -8.88,          64.81,  +1.33,  +0.78
  7,     UK0027,       0,  0.279156, 2459437.469039177988,   6.56503,  89.56921,                0.60303,  51.58244,         0.61799,       51.62045,      6.56503,     +89.56921,       2.97632,      +89.54171,  2353407.40, -3222598.52,  5086345.38,      52.068219,       -2.362406,   99947.24,  126826.58,   17523.98,            17571.70,  -390.00,  60007.05,           63156.19,    -84.48,    -19.06,         140.85,  +1.98,  +1.46

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.