Orbital Analysis for matched events on 20210810_021159.231_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 70.55° Bg 4.08° Vg 62.49km/s
mass 0.01009g, abs. mag -0.6
Path Details
------------
start -4.36° 49.99° 98.90km
end   -4.54° 49.96° 92.28km

Orbit Details
-------------
Semimajor axis 2.44A.U., eccentricity 0.79, inclination 170.95°, Period 3.81Y, LA Sun 137.40°, last Perihelion 2021-06-25

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: 2459436.591657774989
Time: 2021-08-10 02:11:59.240691 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK0024
 Convergence angle = 0.83635 deg
 R.A. =  68.54393  Dec = +26.33046 deg

Best intersection: Stations UK0021 and UK0024 with Qconv = 0.84 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4072488.97 +/- 2025.81 m
 Y =   -908446.16 +/- 1932.68 m
 Z =   4937659.91 +/- 350.54 m
 Vx =    21097.81 +/- 15446.98 m/s
 Vy =    52737.75 +/- 16366.45 m/s
 Vz =    28328.14 +/- 6837.90 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.277500e+06, -2.276859e+06, +3.513625e+05, +6.942056e+06, -5.947169e+06, +1.345046e+06
-2.276859e+06, +2.290420e+06, -3.471998e+05, -6.829388e+06, +5.860575e+06, -1.325205e+06
+3.513625e+05, -3.471998e+05, +5.568950e+04, +1.125947e+06, -9.628327e+05, +2.199860e+05
+6.942056e+06, -6.829388e+06, +1.125947e+06, +4.595257e+07, -4.179806e+07, +8.450640e+06
-5.947169e+06, +5.860575e+06, -9.628327e+05, -4.179806e+07, +3.850547e+07, -7.543323e+06
+1.345046e+06, -1.325205e+06, +2.199860e+05, +8.450640e+06, -7.543323e+06, +1.622787e+06

Timing offsets (from input data):
    UK001K: 0.000000 s
    UK0021: -0.000240 s
    UK0024: -0.008870 s

Reference point on the trajectory:
  Time: 2021-08-10 02:11:59.240691 UTC
  Lon     = +-4.355409 +/- 0.0199 deg
  Lat     = +49.987157 +/- 0.0143 deg
  Lat geo = +49.800434 +/- 0.0143 deg
  Ht      =   98902.01 +/- 1805.38 m

  JD dynamic   = 2459436.592458619270 
  LST apparent = 347.4249653162 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  68.19605 +/- 17.0074 deg
  Dec       = +26.50650 +/- 3.4669 deg
  Azimuth   =  78.66701 +/- 11.2129 deg
  Elevation = +25.72797 +/- 12.9104 deg
  Vavg      =  61.25162 +/- 6.0806 km/s
  Vinit     =  63.47339 +/- 7.4755 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  68.24501 +/- 17.0074 deg
  Dec       = +26.38601 +/- 3.4669 deg
  Azimuth   =  78.72661 +/- 11.2129 deg
  Elevation = +25.61155 +/- 12.9104 deg
  Vavg      =  61.52054 +/- 6.0806 km/s
  Vinit     =  63.74231 +/- 7.4755 km/s
Radiant (geocentric, J2000):
  R.A.   =  68.30517 +/- 17.0456 deg
  Dec    = +26.06578 +/- 3.4699 deg
  Vg     =  62.49446 +/- 7.5583 km/s
  Vinf   =  63.47339 +/- 7.4755 km/s
  Zc     =  64.30886 +/- 12.9445 deg
  Zg     =  64.86866 +/- 13.0075 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  70.55459 +/- 14.5218 deg
  Bg     =  +4.08070 +/- 6.1733 deg
  Vh     =  37.23598 +/- 10.1736 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  88.34542 +/- 23.3245 deg
  Bh     =  +6.86108 +/- 10.2379 deg
  Vh_x   =  -1.06744 +/- 13.8200 km/s
  Vh_y   = -36.95391 +/- 12.3219 km/s
  Vh_z   =  -4.44830 +/- 7.5324 km/s
Orbit:
  La Sun = 137.397074 +/- 0.0000 deg
  a      =   2.439151 +/- 1.5328 AU
  e      =   0.787585 +/- 0.5571
  i      = 170.945791 +/- 7.4352 deg
  peri   =  83.682085 +/- 59.5665 deg
  node   = 137.377094 +/- 30.6520 deg
  Pi     = 221.059179 +/- 47.9090 deg
  q      =   0.518113 +/- 0.1934 AU
  f      =  96.296317 +/- 47.9031 deg
  M      =  11.845793 +/- nan deg
  Q      =   4.360189 +/- 3.0891 AU
  n      =   0.258730 +/- 2.0899 deg/day
  T      =   3.809419 +/- 339934633.4598 years
  Last perihelion JD = 2459390.807995 (2021-06-25 07:23:30.758378) +/- 332.2580 days
  Tj     =   1.300436 +/- 6.4477
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.188847e-02, -2.776085e-02, +4.789030e+00, -1.338514e-05, -6.635788e-02, +1.578448e-02
q   , -2.776085e-02, +2.803301e-02, -1.515069e+01, +1.276025e-05, +8.347914e-02, -1.648915e-02
Tp  , +4.789030e+00, -1.515069e+01, +4.901862e+04, -7.135660e-03, -9.726378e+01, +1.319634e+01
node, -1.338514e-05, +1.276025e-05, -7.135660e-03, +6.799207e-09, +3.567786e-05, -7.911606e-06
peri, -6.635788e-02, +8.347914e-02, -9.726378e+01, +3.567786e-05, +3.277656e-01, -5.351180e-02
i   , +1.578448e-02, -1.648915e-02, +1.319634e+01, -7.911606e-06, -5.351180e-02, +1.036086e-02

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: UK0024
  Avg. res. = 5.222e-06 s
  Stddev    = 2.29e-03 s

Begin point on the trajectory:
  Lon =    -4.355532 +/- 0.0217 deg
  Lat =    49.987141 +/- 0.0140 deg
  Ht  = 98897.61 +/- 1608.22 m
End point on the trajectory:
  Lon =    -4.541943 +/- 0.0177 deg
  Lat =    49.963022 +/- 0.0130 deg
  Ht  = 92279.32 +/- 1657.11 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
    UK001K,    True,    -3.557111,    51.483925,   37.50, 6501.569258,   3.145490,   100423.44,    97742.03,          0.063391,       nan,       nan,              96.83, 0.0000,    True,    True, {"ff_name": "FF_UK001K_20210810_021154_258_0511744.fits"}
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,    97633.18,    92279.32,          0.008914,     22.06,      1.92,              96.38, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210810_021151_968_0522240.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,    98897.61,    93458.09,          0.014112,     42.96,      3.17,             107.48, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210810_021151_797_0525056.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,     UK001K,       1,  0.312921, 2459436.591661396902, 332.20240,  -7.88703,              198.22243,  29.04656,       198.14945,       28.96206,    332.20240,      -7.88703,     332.25015,       -7.98242,  4073653.66,  -905534.81,  4939223.75,      49.992639,       -4.314184,  100423.44,  202314.68,       0.00,             3504.01, -16159.11,      0.00,           52889.28,     96.52,    361.27,         381.25,  +2.49,  +0.96
  1,     UK001K,       1,  0.353361, 2459436.591661864892, 331.67539,  -8.23026,              198.72802,  28.60623,       198.71331,       28.58929,    331.67539,      -8.23026,     331.68617,       -8.24945,  4072920.60,  -907367.22,  4938239.46,      49.989190,       -4.341098,   99465.25,  202668.79,    2205.43,             1298.58, -20931.41,  54535.97,           52889.28,     19.54,     72.74,          76.66,  +1.49,  -0.04
  2,     UK001K,       1,  0.393897, 2459436.591662333813, 330.98380,  -8.63676,              199.39371,  28.06776,       199.42912,       28.10829,    330.98380,      -8.63676,     330.96311,       -8.59059,  4071977.13,  -909725.59,  4936972.67,      49.984741,       -4.375695,   98232.95,  203158.23,    5043.88,             1539.87, -23263.07,  70022.91,           52889.28,    -47.28,   -175.17,         184.21,  +0.63,  -0.91
  3,     UK001K,       1,  0.434089, 2459436.591662799008, 330.69031,  -8.76376,              199.68453,  27.88248,       199.71382,       27.91590,    330.69031,      -8.76376,     330.67370,       -8.72561,  4071601.14,  -910665.43,  4936467.83,      49.982965,       -4.389585,   97742.03,  203366.11,    6175.05,             2671.04, -24683.03,  28144.12,           52889.28,    -39.07,   -144.86,         152.17,  +3.80,  +2.26
  0,     UK0021,       1,  0.003618, 2459436.591657819692, 321.64121,  10.36705,              217.89132,  44.13210,       217.92990,       44.15312,    321.64121,     +10.36705,     321.62382,      +10.39731,  4072210.90,  -909141.23,  4937286.55,      49.985845,       -4.365535,   98538.90,  140314.86,       0.00,              836.56,   805.92,      0.00,           56900.05,      7.32,    -84.81,         125.14,  +5.74,  +5.00
  1,     UK0021,       0,  0.044194, 2459436.591658289544, 320.88031,   9.98115,              218.62998,  43.47968,       218.63324,       43.48145,    320.88031,      +9.98115,     320.87900,       +9.98371,  4071517.05,  -910875.65,  4936354.91,      49.982567,       -4.391027,   97633.18,  140691.25,    2087.49,             2924.05,   317.91,  51446.39,           56900.05,      0.63,     -7.22,          10.63,  +1.91,  +1.17
  2,     UK0021,       0,  0.084838, 2459436.591658759862, 320.08412,   9.52678,              219.36129,  42.74675,       219.37329,       42.75320,    320.08412,      +9.52678,     320.07896,       +9.53626,  4070765.08,  -912755.32,  4935345.24,      49.979008,       -4.418644,   96652.21,  141132.78,    4349.80,             5186.35,     0.41,  55661.56,           56900.05,      2.33,    -26.81,          39.33,  +1.20,  +0.45
  3,     UK0021,       0,  0.125562, 2459436.591659231111, 319.16217,   9.03032,              220.20768,  41.92037,       220.19771,       41.91506,    319.16217,      +9.03032,     319.16729,       +9.02241,  4069899.11,  -914919.96,  4934182.50,      49.974900,       -4.450427,   95523.30,  141683.85,    6955.09,             7791.65,    20.81,  63974.33,           56900.05,     -1.96,     22.47,          32.84,  +0.67,  -0.09
  4,     UK0021,       0,  0.166294, 2459436.591659702361, 318.25779,   8.51437,              221.00486,  41.07857,       220.99743,       41.07463,    318.25779,      +8.51437,     318.26193,       +8.50844,  4069029.65,  -917093.35,  4933015.07,      49.970765,       -4.482345,   94390.67,  142283.36,    9570.91,            10407.46,    51.23,  64220.21,           59034.21,     -1.48,     16.95,          24.66,  +0.45,  -0.32
  5,     UK0021,       0,  0.207010, 2459436.591660173610, 317.39863,   8.00545,              221.73670,  40.25772,       221.74621,       40.26273,    317.39863,      +8.00545,     317.39500,       +8.01307,  4068187.80,  -919197.70,  4931884.71,      49.966752,       -4.513259,   93294.82,  142907.61,   12103.63,            12940.19,    -0.43,  62204.71,           60096.41,      1.90,    -21.90,          31.72,  +0.41,  -0.37
  6,     UK0021,       0,  0.247662, 2459436.591660644393, 316.60463,   7.54581,              222.40643,  39.50536,       222.41916,       39.51204,    316.60463,      +7.54581,     316.59961,       +7.55607,  4067407.14,  -921149.10,  4930836.51,      49.963022,       -4.541943,   92279.32,  143524.77,   14452.27,            15288.83,  -232.10,  57774.31,           60226.77,      2.57,    -29.63,          42.74,  +1.27,  +0.49
  7,     UK0021,       1,  0.288406, 2459436.591661115643, 315.76449,   6.99139,              223.06440,  38.64453,       223.14045,       38.68426,    315.76449,      +6.99139,     315.72929,       +7.05303,  4066542.57,  -923310.24,  4929675.66,      49.958882,       -4.573697,   91155.47,  144249.54,   17053.34,            17889.90,  -217.19,  63839.37,           60582.60,     15.39,   -179.21,         257.20,  +4.58,  +3.78
  0,     UK0024,       0,  0.000000, 2459436.591657878365, 312.38128,   4.19177,              225.79775,  34.25657,       225.78606,       34.25040,    312.38128,      +4.19177,     312.38713,       +4.18189,  4072485.59,  -908454.60,  4937655.38,      49.987141,       -4.355532,   98897.61,  172782.64,       0.00,               10.15,   209.17,      0.00,           61855.10,     -2.54,     34.49,          41.28,  +4.63,  +3.44
  1,     UK0024,       0,  0.040624, 2459436.591658348683, 311.75787,   3.84130,              226.27293,  33.66140,       226.24940,       33.64901,    311.75787,      +3.84130,     311.76985,       +3.82133,  4071719.53,  -910369.52,  4936626.78,      49.983525,       -4.383658,   97897.43,  173623.72,    2304.73,             2314.88,   -64.64,  56733.30,           61855.10,     -5.17,     70.04,          83.43,  +2.08,  +0.88
  2,     UK0024,       0,  0.081336, 2459436.591658819932, 311.06447,   3.42150,              226.77824,  32.97090,       226.76680,       32.96489,    311.06447,      +3.42150,     311.07060,       +3.41175,  4070841.16,  -912565.16,  4935447.39,      49.979369,       -4.415888,   96751.42,  174619.83,    4947.33,             4957.49,    -6.17,  64909.63,           61855.10,     -2.54,     34.42,          40.76,  +1.31,  +0.10
  3,     UK0024,       0,  0.122016, 2459436.591659290716, 310.39745,   3.02564,              227.26214,  32.31198,       227.25467,       32.30806,    310.39745,      +3.02564,     310.40177,       +3.01924,  4069990.76,  -914690.86,  4934305.56,      49.975335,       -4.447103,   95642.74,  175617.24,    7505.76,             7515.91,   -29.84,  62891.52,           61855.10,     -1.67,     22.72,          26.75,  +0.99,  -0.23
  4,     UK0024,       0,  0.162780, 2459436.591659762431, 309.65343,   2.57464,              227.78934,  31.56666,       227.79348,       31.56882,    309.65343,      +2.57464,     309.65202,       +2.57820,  4069024.40,  -917106.47,  4933008.02,      49.970740,       -4.482558,   94383.84,  176788.15,   10413.11,            10423.26,   290.08,  71321.40,           63957.89,      0.93,    -12.73,          14.89,  +1.08,  -0.16
  5,     UK0024,       0,  0.203336, 2459436.591660231818, 309.09619,   2.27263,              228.19886,  31.03870,       228.18086,       31.02933,    309.09619,      +2.27263,     309.10627,       +2.25711,  4068313.27,  -918884.06,  4932053.18,      49.967351,       -4.508697,   93458.09,  177677.44,   12552.55,            12562.71,  -144.70,  52752.92,           62962.73,     -4.12,     55.81,          64.96,  +3.10,  +1.85

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.