Orbital Analysis for matched events on 20210929_044131.293_UK

Summary for Event
-----------------
shower ID 715 ACL
Lg 71.13° Bg 39.34° Vg 60.45km/s
mass 0.01891g, abs. mag -0.8
Path Details
------------
start -3.29° 52.63° 98.42km
end   -3.27° 52.61° 86.54km

Orbit Details
-------------
Semimajor axis -3.36A.U., eccentricity 1.24, inclination 108.34°, Period 1000000000.00Y, LA Sun 185.97°, 

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: 2459486.695501086768
Time: 2021-09-29 04:41:31.293897 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003F
 Convergence angle = 26.94571 deg
 R.A. =  60.02665  Dec = +60.85560 deg
Intersection 2 - Stations: UK001L and UK003R
 Convergence angle = 40.63809 deg
 R.A. =  61.36239  Dec = +60.67994 deg
Intersection 3 - Stations: UK001L and UK003X
 Convergence angle = 33.61126 deg
 R.A. =  57.65146  Dec = +61.13107 deg
Intersection 4 - Stations: UK003F and UK003R
 Convergence angle = 13.69734 deg
 R.A. =  62.78013  Dec = +59.59676 deg
Intersection 5 - Stations: UK003F and UK003X
 Convergence angle = 6.69195 deg
 R.A. =  50.26752  Dec = +64.26534 deg
Intersection 6 - Stations: UK003R and UK003X
 Convergence angle = 7.11521 deg
 R.A. =  69.13452  Dec = +53.47534 deg

Best intersection: Stations UK001L and UK003R with Qconv = 40.64 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1002495.62 +/- 46.22 m
 Y =   3810248.57 +/- 45.67 m
 Z =   5124356.55 +/- 86.77 m
 Vx =    15096.22 +/- 435.46 m/s
 Vy =    25940.66 +/- 618.35 m/s
 Vz =    53638.00 +/- 572.32 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK001L: 0.000225 s
    UK0029: 0.000000 s
    UK003F: 0.000059 s
    UK003R: 0.000000 s
    UK003X: 0.000252 s

Reference point on the trajectory:
  Time: 2021-09-29 04:41:31.293897 UTC
  Lon     = +-3.289026 +/- 0.0007 deg
  Lat     = +52.627641 +/- 0.0005 deg
  Lat geo = +52.444686 +/- 0.0005 deg
  Ht      =   99175.33 +/- 80.18 m

  JD dynamic   = 2459486.696301827673 
  LST apparent = 75.2592692486 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  59.80264 +/- 0.7636 deg
  Dec       = +60.77047 +/- 0.4222 deg
  Azimuth   = 320.10585 +/- 1.6479 deg
  Elevation = +78.29299 +/- 0.4416 deg
  Vavg      =  57.49105 +/- 0.4238 km/s
  Vinit     =  61.46421 +/- 0.4029 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  60.33260 +/- 0.7636 deg
  Dec       = +60.83175 +/- 0.4222 deg
  Azimuth   = 321.13360 +/- 1.6479 deg
  Elevation = +78.45948 +/- 0.4416 deg
  Vavg      =  57.45432 +/- 0.4238 km/s
  Vinit     =  61.42748 +/- 0.4029 km/s
Radiant (geocentric, J2000):
  R.A.   =  59.17744 +/- 0.7693 deg
  Dec    = +60.76911 +/- 0.4244 deg
  Vg     =  60.45264 +/- 0.4095 km/s
  Vinf   =  61.46421 +/- 0.4029 km/s
  Zc     =  11.84795 +/- 0.4424 deg
  Zg     =  11.94661 +/- 0.4447 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  71.12525 +/- 0.4422 deg
  Bg     = +39.33537 +/- 0.4511 deg
  Vh     =  45.10958 +/- 0.5816 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  38.22393 +/- 0.4984 deg
  Bh     = +58.15754 +/- 0.4804 deg
  Vh_x   = -18.69658 +/- 0.4054 km/s
  Vh_y   = -14.72541 +/- 0.1154 km/s
  Vh_z   = -38.32068 +/- 0.5937 km/s
Orbit:
  La Sun = 185.968116 +/- -0.0000 deg
  a      =  -3.363081 +/- 0.4284 AU
  e      =   1.244274 +/- 0.0507
  i      = 108.337210 +/- 0.3716 deg
  peri   = 227.512125 +/- 1.1200 deg
  node   = 185.969969 +/- 0.0000 deg
  Pi     =  53.482094 +/- 1.1200 deg
  q      =   0.821515 +/- 0.0063 AU
  f      = 312.487214 +/- 1.1200 deg
  M      =        nan +/- nan deg
  Q      =  -7.547676 +/- 0.8541 AU
  n      =   0.159808 +/- 0.0556 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.921983 +/- 0.3122
Shower association:
  IAU No.  =  715
  IAU code =  ACL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.204795
 a2 = 39.246818

Mean time residuals from time vs. length:
  Station with reference time: UK003R
  Avg. res. = 2.484e-06 s
  Stddev    = 1.58e-03 s

Begin point on the trajectory:
  Lon =    -3.289044 +/- 0.0007 deg
  Lat =    52.627676 +/- 0.0005 deg
  Ht  = 98416.76 +/- 41.25 m
End point on the trajectory:
  Lon =    -3.266985 +/- 0.0009 deg
  Lat =    52.610971 +/- 0.0007 deg
  Ht  = 86540.41 +/- 64.73 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    97077.46,    87608.81,          0.009240,     29.14,      4.50,              46.93, 0.5337,    True,    True, {"ff_name": "FF_UK001L_20210929_044127_317_0905472.fits"}
    UK0029,    True,    -4.441783,    52.004778,  230.00,   0.000000,   0.000000,    59092.88,    57275.65,         30.500570,       nan,       nan,              47.09, 0.0000,    True,    True, {"ff_name": "FF_UK0029_20210929_044125_846_0416768.fits"}
    UK003F,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,    96548.27,    87736.35,          0.028271,     78.75,     56.57,              48.52, 0.5613,    True,    True, {"ff_name": "FF_UK003F_20210929_044125_242_0925440.fits"}
    UK003R,   False,    -2.379340,    51.361330,  169.00,   0.000000,   0.000000,    98416.76,    87066.08,          0.032084,     65.10,     77.16,              45.87, 0.5152,    True,    True, {"ff_name": "FF_UK003R_20210929_044125_020_0528640.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.003298,  57.862910,    95690.50,    86540.41,          0.049533,     98.51,     87.74,              39.49, 0.4044,    True,    True, {"ff_name": "FF_UK003X_20210929_044131_373_0921088.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,     UK001L,       0,  0.025723, 2459486.695501380600, 343.72692,  43.25063,              302.21522,  30.76444,       302.20885,       30.76495,    343.72692,     +43.25063,     343.73276,      +43.24706,  1002162.76,  3809676.61,  5123173.89,      52.625795,       -3.286567,   97077.46,  186834.02,       0.00,             1355.21,    -0.26,      0.00,           62716.71,     -2.75,     17.75,          19.79,  +4.85,  +3.49
  1,     UK001L,       0,  0.066151, 2459486.695501848590, 343.26962,  42.84385,              302.14892,  30.24110,       302.15045,       30.24098,    343.26962,     +42.84385,     343.26850,      +42.84471,  1001590.77,  3808693.73,  5121141.58,      52.622585,       -3.282326,   94792.20,  185261.97,    2328.85,             3684.06,  -156.29,  57604.76,           62716.71,      0.66,     -4.26,           4.79,  +2.14,  +0.80
  2,     UK001L,       0,  0.106663, 2459486.695502317511, 342.73419,  42.35082,              302.06496,  29.61410,       302.08160,       29.61277,    342.73419,     +42.35082,     342.71952,      +42.36012,  1000917.22,  3807536.34,  5118748.40,      52.618801,       -3.277299,   92102.06,  183430.44,    5071.21,             6426.42,    96.04,  67692.58,           62716.71,      7.11,    -46.08,          52.31,  +2.02,  +0.70
  3,     UK001L,       0,  0.147143, 2459486.695502785966, 342.21766,  41.91379,              302.02265,  29.03413,       302.01879,       29.03444,    342.21766,     +41.91379,     342.22179,      +41.91163,  1000308.95,  3806491.11,  5116587.17,      52.615381,       -3.272772,   89672.20,  181796.78,    7547.77,             8902.99,    84.53,  61180.00,           62716.71,     -1.65,     10.66,          12.21,  +1.36,  +0.06
  4,     UK001L,       0,  0.187555, 2459486.695503253490, 341.78353,  41.53080,              301.97970,  28.53388,       301.96482,       28.53507,    341.78353,     +41.53080,     341.79791,      +41.52251,   999792.60,  3805603.84,  5114752.55,      52.612476,       -3.268953,   87608.81,  180426.07,    9650.08,            11005.30,  -297.05,  52021.91,           60593.40,     -6.34,     40.94,          47.26,  +1.06,  -0.22
  0,     UK0029,       1, -12.690418, 2459486.695354206953, 138.15360,  31.07076,               88.34107,  39.60336,        53.77144,       28.02031,    138.15360,     +31.07076,     173.77191,      +43.74060,   992440.38,  3792970.12,  5088629.55,      52.570868,       -3.158144,   59092.88,  123337.81,       0.00,            40939.85, 821171.93,     -0.00,           12760.08, -13508.74, -61568.79,      110644.68,  +1.07,  +0.61
  1,     UK0029,       1, -12.650642, 2459486.695354667492, 137.77160,  31.03730,               88.66825,  39.81516,        53.75765,       28.06113,    137.77160,     +31.03730,     173.74546,      +43.77861,   992464.08,  3793010.84,  5088713.76,      52.571002,       -3.158495,   59187.33,  123374.10,      96.49,            40843.36, 818630.63,   2425.88,           12760.08, -13252.23, -62168.69,      111645.05,  +2.16,  +1.70
  2,     UK0029,       1, -12.609362, 2459486.695355145261, 139.56064,  30.69029,               87.60816,  38.47246,        53.93192,       27.39292,    139.56064,     +30.69029,     174.22164,      +43.18614,   992056.30,  3792310.12,  5087264.87,      52.568684,       -3.155493,   57562.00,  122609.55,    1563.80,            42503.65, 817753.69,  35545.32,           12760.08, -14163.76, -59932.61,      108541.87,  +3.54,  +3.10
  3,     UK0029,       1, -12.529206, 2459486.695356072858, 139.75671,  30.61062,               87.53037,  38.29617,        53.95632,       27.27812,    139.75671,     +30.61062,     174.30753,      +43.08740,   991984.47,  3792186.71,  5087009.68,      52.568276,       -3.155269,   57275.65,  122461.66,    1856.23,            42796.07, 813119.38,   3648.17,           12760.08, -14239.15, -59732.35,      108340.95,  +5.54,  +5.10
  0,     UK003F,       0,  0.030862, 2459486.695501442999, 318.87077,  54.95676,              324.85491,  28.14800,       324.84959,       28.14792,    318.87077,     +54.95676,     318.87719,      +54.95376,  1002030.18,  3809448.79,  5122702.82,      52.625051,       -3.285567,   96548.27,  200517.22,       0.00,             1895.02,   223.66,      0.00,           59410.77,     -9.60,     13.37,          16.90,  +3.42,  +1.91
  1,     UK003F,       0,  0.071338, 2459486.695501911454, 318.27981,  54.56064,              324.87756,  27.62571,       324.85645,       27.62539,    318.27981,     +54.56064,     318.30508,      +54.54880,  1001436.06,  3808427.88,  5120591.86,      52.621716,       -3.281155,   94174.76,  198935.66,    2418.97,             4313.99,   154.81,  59763.00,           59410.77,    -37.95,     52.86,          67.34,  +2.05,  +0.56
  2,     UK003F,       0,  0.111802, 2459486.695502379909, 317.71139,  54.17173,              324.90113,  27.11534,       324.86297,       27.11476,    317.71139,     +54.17173,     317.75706,      +54.15043,  1000864.45,  3807445.66,  5118560.90,      52.618505,       -3.276914,   91891.05,  197430.27,    4746.26,             6641.28,    -4.99,  57515.05,           59410.77,    -68.43,     95.25,         122.30,  +1.97,  +0.49
  3,     UK003F,       0,  0.152310, 2459486.695502848830, 317.13327,  53.73190,              324.90238,  26.55930,       324.87023,       26.55882,    317.13327,     +53.73190,     317.17202,      +53.71406,  1000251.75,  3806392.82,  5116383.93,      52.615060,       -3.272353,   89443.52,  195834.31,    7240.87,             9135.89,    -0.17,  61583.16,           59410.77,    -57.44,     79.99,         103.53,  +0.74,  -0.72
  4,     UK003F,       0,  0.192670, 2459486.695503315888, 316.71243,  53.42829,              324.91956,  26.16641,       324.87440,       26.16572,    316.71243,     +53.42829,     316.76682,      +53.40333,   999824.75,  3805659.09,  5114866.78,      52.612657,       -3.269224,   87736.35,  194734.43,    8979.38,            10874.40,  -742.36,  43075.16,           56307.59,    -80.53,    112.10,         145.93,  +1.03,  -0.42
  0,     UK003R,       0,  0.000000, 2459486.695501086768, 306.80565,  63.90275,              336.40572,  31.82031,       336.44280,       31.82272,    306.80565,     +63.90275,     306.74978,      +63.92263,  1002497.92,  3810252.53,  5124364.73,      52.627676,       -3.289044,   98416.76,  183784.60,       0.00,                9.37,   234.93,      0.00,           57350.63,     77.66,    -65.49,         113.75,  +3.32,  +2.00
  1,     UK003R,       0,  0.040480, 2459486.695501555223, 306.02854,  63.45413,              336.44329,  31.25555,       336.48944,       31.25854,    306.02854,     +63.45413,     305.95917,      +63.47863,  1001879.33,  3809189.57,  5122166.84,      52.624205,       -3.284445,   95945.70,  182038.85,    2518.58,             2509.21,   246.70,  62217.89,           57350.63,     96.28,    -81.24,         142.42,  +2.25,  +0.95
  2,     UK003R,       0,  0.080888, 2459486.695502022747, 305.35517,  63.07897,              336.49489,  30.77540,       336.52812,       30.77756,    305.35517,     +63.07897,     305.30543,      +63.09647,  1001361.28,  3808299.39,  5120326.18,      52.621296,       -3.280618,   93875.50,  180591.18,    4627.80,             4618.43,  -127.73,  52198.18,           57350.63,     69.14,    -58.32,         103.08,  +1.93,  +0.65
  3,     UK003R,       0,  0.121364, 2459486.695502491668, 304.61038,  62.63588,              336.54496,  30.21871,       336.57298,       30.22053,    304.61038,     +62.63588,     304.56871,      +62.65049,  1000771.37,  3807285.71,  5118230.18,      52.617981,       -3.276236,   91518.82,  178958.59,    7029.62,             7020.25,  -213.74,  59339.25,           57350.63,     58.09,    -49.00,          87.39,  +2.27,  +1.01
  4,     UK003R,       0,  0.161920, 2459486.695502961054, 303.78583,  62.10314,              336.58842,  29.56403,       336.62561,       29.56643,    303.78583,     +62.10314,     303.73059,      +62.12232,  1000091.96,  3806118.25,  5115816.20,      52.614161,       -3.271160,   88805.36,  177099.88,    9795.83,             9786.45,    59.73,  68207.10,           59554.93,     76.80,    -64.81,         116.78,  +1.19,  -0.05
  5,     UK003R,       0,  0.202284, 2459486.695503428113, 303.25954,  61.75491,              336.61939,  29.13757,       336.65813,       29.14008,    303.25954,     +61.75491,     303.20221,      +61.77476,   999656.91,  3805370.68,  5114270.43,      52.611712,       -3.267967,   87066.08,  175922.83,   11567.13,            11557.76,  -649.91,  43883.30,           57951.00,     79.80,    -67.36,         122.16,  +1.99,  +0.76
  0,     UK003X,       0,  0.049718, 2459486.695501651149, 325.05545,  64.19944,              329.20959,  37.52601,       329.24704,       37.52738,    325.05545,     +64.19944,     325.01122,      +64.22203,  1001815.60,  3809080.06,  5121940.39,      52.623847,       -3.283988,   95690.50,  155725.65,       0.00,             2768.69,   -61.60,      0.00,           62183.11,     53.98,    -60.47,         107.03,  +1.97,  +1.01
  1,     UK003X,       0,  0.090122, 2459486.695502119139, 324.17090,  63.79596,              329.17835,  36.96694,       329.27469,       36.97040,    324.17090,     +63.79596,     324.05566,      +63.85371,  1001240.67,  3808092.14,  5119897.65,      52.620619,       -3.279723,   93393.55,  153942.74,    2340.79,             5109.49,  -204.21,  57934.71,           62183.11,    138.06,   -155.11,         277.37,  +1.52,  +0.58
  2,     UK003X,       0,  0.130674, 2459486.695502588525, 322.91417,  63.35968,              329.27945,  36.26235,       329.31031,       36.26348,    322.91417,     +63.35968,     322.87719,      +63.37805,  1000529.22,  3806869.61,  5117369.81,      52.616620,       -3.274402,   90552.33,  151757.11,    5237.47,             8006.16,   199.97,  71431.08,           62183.11,     44.07,    -49.38,          89.67,  +1.60,  +0.69
  3,     UK003X,       0,  0.171082, 2459486.695503056049, 322.05497,  62.97307,              329.28576,  35.71476,       329.33628,       35.71659,    322.05497,     +62.97307,     321.99370,      +63.00297,   999992.81,  3805947.86,  5115463.88,      52.613603,       -3.270428,   88408.93,  150125.66,    7421.49,            10190.18,   -99.66,  54049.16,           62183.11,     71.82,    -80.55,         147.81,  +0.47,  -0.41
  4,     UK003X,       0,  0.211446, 2459486.695503523108, 321.31136,  62.62410,              329.28994,  35.22762,       329.35849,       35.23009,    321.31136,     +62.62410,     321.22755,      +62.66444,   999525.33,  3805144.58,  5113802.92,      52.610971,       -3.266985,   86540.41,  148715.78,    9324.79,            12093.49,  -677.29,  47153.59,           58680.97,     97.06,   -108.98,         201.77,  +3.26,  +2.40

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.