Orbital Analysis for matched events on 20210813_232323.119_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.74° Bg 39.36° Vg 58.48km/s
mass 0.03520g, abs. mag -1.2
Path Details
------------
start -4.62° 48.26° 107.36km
end   -4.81° 48.10° 90.52km

Orbit Details
-------------
Semimajor axis 13.07A.U., eccentricity 0.93, inclination 111.65°, Period 47.25Y, LA Sun 141.12°, last Perihelion 2021-07-25

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: 2459440.474573145621
Time: 2021-08-13 23:23:23.119782 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK002D
 Convergence angle = 13.49171 deg
 R.A. =  54.80685  Dec = +57.31979 deg

Best intersection: Stations UK0021 and UK002D with Qconv = 13.49 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2712955.73 +/- 168.31 m
 Y =  -3369531.19 +/- 701.42 m
 Z =   4816125.34 +/- 320.19 m
 Vx =    20292.35 +/- 1494.58 m/s
 Vy =    22461.30 +/- 2057.34 m/s
 Vz =    51253.03 +/- 1743.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.277909e+04, -2.903163e+04, -6.783267e+03, +3.680644e+04, -8.876604e+04, -1.518667e+04
-2.903163e+04, +7.713775e+04, +9.638894e+03, -7.574703e+04, +2.301620e+05, +2.790756e+04
-6.783267e+03, +9.638894e+03, +8.289823e+03, -2.592325e+04, +2.645300e+04, +5.842725e+03
+3.680644e+04, -7.574703e+04, -2.592325e+04, +1.162704e+05, -2.453566e+05, -5.165688e+04
-8.876604e+04, +2.301620e+05, +2.645300e+04, -2.453566e+05, +9.136059e+05, +2.328189e+05
-1.518667e+04, +2.790756e+04, +5.842725e+03, -5.165688e+04, +2.328189e+05, +1.165997e+05

Timing offsets (from input data):
    UK0021: 0.000046 s
    UK002D: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:23:23.119782 UTC
  Lon     = +-4.617915 +/- 0.0044 deg
  Lat     = +48.257178 +/- 0.0060 deg
  Lat geo = +48.069099 +/- 0.0060 deg
  Ht      =  107384.22 +/- 230.46 m

  JD dynamic   = 2459440.475373886526 
  LST apparent = 308.8390493672 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.90420 +/- 2.9746 deg
  Dec       = +59.43370 +/- 0.7144 deg
  Azimuth   =  38.42392 +/- 0.6056 deg
  Elevation = +36.09407 +/- 1.6474 deg
  Vavg      =  58.41323 +/- 1.4511 km/s
  Vinit     =  59.52447 +/- 1.5665 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.81108 +/- 2.9746 deg
  Dec       = +59.17617 +/- 0.7144 deg
  Azimuth   =  38.71712 +/- 0.6056 deg
  Elevation = +35.98284 +/- 1.6474 deg
  Vavg      =  58.57227 +/- 1.4511 km/s
  Vinit     =  59.68351 +/- 1.5665 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.29787 +/- 2.9247 deg
  Dec    = +59.05194 +/- 0.7191 deg
  Vg     =  58.48095 +/- 1.5920 km/s
  Vinf   =  59.52447 +/- 1.5665 km/s
  Zc     =  54.05336 +/- 1.6485 deg
  Zg     =  54.57027 +/- 1.6407 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.73877 +/- 1.6247 deg
  Bg     = +39.35733 +/- 1.1368 deg
  Vh     =  41.03063 +/- 1.2024 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.11043 +/- 1.7222 deg
  Bh     = +64.67114 +/- 2.6939 deg
  Vh_x   =  -1.80119 +/- 0.5232 km/s
  Vh_y   = -17.46079 +/- 2.3628 km/s
  Vh_z   = -37.08625 +/- 0.2551 km/s
Orbit:
  La Sun = 141.124394 +/- nan deg
  a      =  13.070398 +/- 62.3971 AU
  e      =   0.926861 +/- 0.1062
  i      = 111.653686 +/- 1.9693 deg
  peri   = 151.980335 +/- 2.5988 deg
  node   = 141.123241 +/- 0.0002 deg
  Pi     = 293.103576 +/- 2.5990 deg
  q      =   0.955955 +/- 0.0165 AU
  f      =  28.015745 +/- 2.5988 deg
  M      =   0.415144 +/- nan deg
  Q      =  25.184841 +/- 124.7902 AU
  n      =   0.020858 +/- 0.0524 deg/day
  T      =  47.253488 +/- 377739229.1879 years
  Last perihelion JD = 2459420.571926 (2021-07-25 01:43:34.365891) +/- 0.9922 days
  Tj     =  -0.040879 +/- 0.6520
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.136236e-03, -1.820643e-04, -1.528003e-02, -3.022502e-08, -6.050802e-04, +4.034036e-04
q   , -1.820643e-04, +7.446570e-05, +9.160880e-03, +8.858310e-09, +2.833983e-04, -1.185341e-04
Tp  , -1.528003e-02, +9.160880e-03, +1.200788e+00, +9.945001e-07, +3.577793e-02, -1.331814e-02
node, -3.022502e-08, +8.858310e-09, +9.945001e-07, +1.357026e-12, +3.249003e-08, -1.816302e-08
peri, -6.050802e-04, +2.833983e-04, +3.577793e-02, +3.249003e-08, +1.089883e-03, -4.348833e-04
i   , +4.034036e-04, -1.185341e-04, -1.331814e-02, -1.816302e-08, -4.348833e-04, +2.431056e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.551375
 a2 = 8.657487

Mean time residuals from time vs. length:
  Station with reference time: UK002D
  Avg. res. = 1.537e-05 s
  Stddev    = 3.92e-03 s

Begin point on the trajectory:
  Lon =    -4.618202 +/- 0.0043 deg
  Lat =    48.256937 +/- 0.0059 deg
  Ht  = 107358.83 +/- 213.39 m
End point on the trajectory:
  Lon =    -4.810666 +/- 0.0035 deg
  Lat =    48.095959 +/- 0.0055 deg
  Ht  = 90521.98 +/- 152.68 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.011694,  22.272324,    99019.04,    90866.04,          0.013835,     73.22,     21.76,             121.91, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210813_232320_655_0282112.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,  22.618448,   2.715762,   107358.83,    90521.98,          0.019947,    128.88,     72.65,             130.39, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_232315_692_0289536.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,     UK0021,       0,  0.238131, 2459440.474575904198, 291.89953, -20.32532,              197.70148,  17.22194,       197.71289,       17.22595,    291.89953,     -20.32532,     291.89003,      -20.31916,  2708109.19, -3374895.76,  4803884.27,      48.177441,       -4.713444,   99019.04,  311243.89,       0.00,            14216.58,    -0.56,      0.00,           59549.69,     17.93,    -60.50,          41.82,  +2.95,  +0.48
  1,     UK0021,       0,  0.278455, 2459440.474576371256, 291.68572, -20.65084,              197.83619,  16.86210,       197.85269,       16.86789,    291.68572,     -20.65084,     291.67166,      -20.64189,  2707286.28, -3375806.62,  4801805.83,      48.163874,       -4.729658,   97600.66,  312480.89,    2413.87,            16630.45,    13.04,  59861.88,           59549.69,     26.07,    -87.97,          60.56,  +1.26,  -1.21
  2,     UK0021,       0,  0.318751, 2459440.474576837383, 291.47083, -20.94006,              197.97841,  16.53737,       197.98104,       16.53829,    291.47083,     -20.94006,     291.46973,      -20.93863,  2706523.17, -3376651.30,  4799878.41,      48.151285,       -4.744705,   96285.86,  313640.58,    4652.35,            18868.93,  -147.08,  55550.80,           59549.69,      4.18,    -14.10,           9.67,  +0.93,  -1.55
  3,     UK0021,       0,  0.359095, 2459440.474577304441, 291.22846, -21.27734,              198.13479,  16.16006,       198.12828,       16.15777,    291.22846,     -21.27734,     291.23600,      -21.28089,  2705635.21, -3377634.17,  4797635.67,      48.136628,       -4.762185,   94756.59,  315004.18,    7257.03,            21473.61,    56.15,  64561.93,           59549.69,    -10.41,     35.07,          23.96,  +0.89,  -1.60
  4,     UK0021,       0,  0.399395, 2459440.474577771034, 291.03390, -21.58092,              198.25178,  15.82492,       198.25624,       15.82649,    291.03390,     -21.58092,     291.03143,      -21.57848,  2704856.05, -3378496.61,  4795667.72,      48.123759,       -4.777543,   93415.23,  316214.04,    9542.57,            23759.16,   -57.15,  56713.17,           59350.90,      7.17,    -24.16,          16.44,  +0.76,  -1.74
  5,     UK0021,       0,  0.439683, 2459440.474578237161, 290.82860, -21.86172,              198.38276,  15.50977,       198.37876,       15.50837,    290.82860,     -21.86172,     290.83417,      -21.86392,  2704102.36, -3379330.85,  4793764.11,      48.111303,       -4.792402,   92118.20,  317395.81,   11753.40,            25969.99,  -244.44,  54875.66,           58655.26,     -6.46,     21.76,          14.75,  +0.77,  -1.74
  6,     UK0021,       0,  0.479955, 2459440.474578703288, 290.61596, -22.12184,              198.52406,  15.21317,       198.49595,       15.20333,    290.61596,     -22.12184,     290.64425,      -22.13734,  2703374.48, -3380136.53,  4791925.69,      48.099268,       -4.806757,   90866.04,  318547.72,   13888.51,            28105.10,  -506.50,  53017.23,           57803.33,    -45.75,    153.77,         103.88,  +1.34,  -1.18
  0,     UK002D,       0,  0.000000, 2459440.474573145621, 278.77895, -19.93156,              211.59887,  13.11203,       211.57732,       13.10869,    278.77895,     -19.93156,     278.79864,      -19.94200,  2712941.04, -3369547.45,  4816088.23,      48.256937,       -4.618202,  107358.83,  416752.70,       0.00,               43.10,     0.57,      0.00,           62371.04,    -76.01,    134.58,          76.50,  +2.47,  -0.63
  1,     UK002D,       0,  0.040196, 2459440.474573610816, 278.67657, -20.15158,              211.61272,  12.87229,       211.61735,       12.87301,    278.67657,     -20.15158,     278.67250,      -20.14933,  2712203.10, -3370364.27,  4814224.40,      48.244814,       -4.632766,  106083.87,  418050.68,    2164.63,             2207.72,  -227.45,  53851.76,           62371.04,     16.40,    -29.07,          16.47,  +2.47,  -0.64
  2,     UK002D,       0,  0.080424, 2459440.474574076477, 278.49900, -20.40735,              211.68112,  12.57445,       211.66788,       12.57239,    278.49900,     -20.40735,     278.51149,      -20.41380,  2711254.93, -3371413.78,  4811829.58,      48.229229,       -4.651431,  104446.37,  419727.32,    4945.92,             4989.02,   159.30,  69138.36,           62371.04,    -47.16,     83.52,          47.14,  +2.48,  -0.63
  3,     UK002D,       0,  0.120652, 2459440.474574542139, 278.39902, -20.66526,              211.67842,  12.30008,       211.71280,       12.30543,    278.39902,     -20.66526,     278.36792,      -20.64847,  2710406.60, -3372352.79,  4809686.92,      48.215274,       -4.668147,  102981.93,  421238.03,    7434.38,             7477.48,   253.20,  61858.79,           62371.04,    122.71,   -217.86,         122.44,  +2.73,  -0.39
  4,     UK002D,       0,  0.160808, 2459440.474575006869, 278.25085, -20.83866,              211.74887,  12.08907,       211.74940,       12.08915,    278.25085,     -20.83866,     278.25103,      -20.83841,  2709714.96, -3373118.35,  4807940.03,      48.203891,       -4.681804,  101788.42,  422477.69,    9463.19,             9506.29,  -108.25,  50523.26,           60179.47,      1.90,     -3.36,           1.88,  +2.61,  -0.52
  5,     UK002D,       0,  0.201000, 2459440.474575472064, 278.09958, -21.05318,              211.80681,  11.83854,       211.79186,       11.83623,    278.09958,     -21.05318,     278.11421,      -21.06050,  2708900.86, -3374019.47,  4805883.82,      48.190485,       -4.697849,  100384.11,  423943.66,   11851.24,            11894.34,  -112.61,  59416.09,           59443.81,    -53.88,     95.41,          53.31,  +1.28,  -1.86
  6,     UK002D,       0,  0.241220, 2459440.474575937726, 278.00628, -21.30237,              211.80010,  11.57468,       211.83476,       11.58007,    278.00628,     -21.30237,     277.97525,      -21.28533,  2708070.55, -3374938.53,  4803786.68,      48.176804,       -4.714209,   98952.42,  425447.37,   14286.82,            14329.92,   -71.10,  60556.44,           59300.22,    125.29,   -222.42,         123.76,  +1.65,  -1.49
  7,     UK002D,       0,  0.281424, 2459440.474576402921, 277.83824, -21.52792,              211.86796,  11.30837,       211.87978,       11.31020,    277.83824,     -21.52792,     277.82847,      -21.52210,  2707189.35, -3375913.90,  4801561.03,      48.162275,       -4.731560,   97433.65,  427052.32,   16871.67,            16914.76,   120.62,  64293.17,           59656.49,     42.97,    -76.19,          42.25,  +1.66,  -1.49
  8,     UK002D,       0,  0.321592, 2459440.474576867651, 277.73812, -21.71873,              211.88766,  11.09695,       211.91491,       11.10118,    277.73812,     -21.71873,     277.71418,      -21.70528,  2706502.42, -3376674.26,  4799826.02,      48.150943,       -4.745121,   96250.12,  428311.48,   18886.67,            18929.77,  -255.35,  50164.45,           59190.52,     99.36,   -176.29,          97.45,  +1.73,  -1.43
  9,     UK002D,       0,  0.361776, 2459440.474577332847, 277.60914, -21.92820,              211.92579,  10.85859,       211.95465,       10.86308,    277.60914,     -21.92820,     277.58382,      -21.91392,  2705714.87, -3377545.99,  4797836.87,      48.137943,       -4.760643,   94893.73,  429761.35,   21196.84,            21239.94,  -337.12,  57489.79,           58860.53,    105.69,   -187.53,         103.32,  +0.85,  -2.32
 10,     UK002D,       0,  0.401976, 2459440.474577798042, 277.41569, -22.14811,              212.01644,  10.58919,       212.00046,       10.58672,    277.41569,     -22.14811,     277.43225,      -22.15603,  2704793.95, -3378565.34,  4795510.89,      48.122733,       -4.778763,   93308.36,  431465.30,   23898.20,            23941.30,   -28.64,  67197.97,           59059.49,    -58.89,    104.23,          57.23,  +0.97,  -2.20
 11,     UK002D,       0,  0.442180, 2459440.474578263238, 277.29046, -22.37887,              212.04249,  10.33224,       212.04266,       10.33226,    277.29046,     -22.37887,     277.29215,      -22.37878,  2703939.60, -3379511.01,  4793353.02,      48.108613,       -4.795584,   91838.20,  433055.67,   26404.31,            26447.41,    84.35,  62334.96,           59300.28,      0.64,     -1.14,           0.62,  +0.97,  -2.21
 12,     UK002D,       0,  0.482352, 2459440.474578728434, 277.16045, -22.57434,              212.08517,  10.10668,       212.08030,       10.10592,    277.16045,     -22.57434,     277.16702,      -22.57676,  2703174.41, -3380357.99,  4791420.36,      48.095959,       -4.810666,   90521.98,  434488.08,   28648.88,            28691.98,   -62.30,  55873.89,           59332.93,    -18.09,     32.03,          17.47,  +2.87,  -0.32

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.