Orbital Analysis for matched events on 20211103_053810.756_UK

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Summary for Event
-----------------
shower ID 847 BEL
Lg 174.09° Bg 17.24° Vg 54.92km/s
mass 0.01478g, abs. mag 0.1
best visual mag 0.5
Path Details
------------
start -2.51° 52.31° 97.59km
end   -2.64° 52.33° 90.85km

Orbit Details
-------------
Semimajor axis 4.62A.U., eccentricity 0.96, inclination 116.46°, Period 9.93Y, LA Sun 220.72°, last Perihelion 2021-09-29

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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: 2459521.734846720472
Time: 2021-11-03 05:38:10.756649 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK001Z
 Convergence angle = 51.25973 deg
 R.A. = 181.74284  Dec = +17.69412 deg
Intersection 2 - Stations: UK001L and UK003G
 Convergence angle = 25.93399 deg
 R.A. = 180.96654  Dec = +19.04621 deg
Intersection 3 - Stations: UK001L and UK003X
 Convergence angle = 23.72074 deg
 R.A. = 182.53642  Dec = +16.28737 deg
Intersection 4 - Stations: UK001Z and UK003G
 Convergence angle = 25.34223 deg
 R.A. = 181.10800  Dec = +16.24272 deg
Intersection 5 - Stations: UK001Z and UK003X
 Convergence angle = 27.55412 deg
 R.A. = 182.31228  Dec = +18.97470 deg
Intersection 6 - Stations: UK003G and UK003X
 Convergence angle = 2.57511 deg
 R.A. = 178.92041  Dec = +48.35063 deg

Best intersection: Stations UK001L and UK001Z with Qconv = 51.26 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2260964.57 +/- 35.06 m
 Y =   3260055.97 +/- 27.41 m
 Z =   5101267.34 +/- 71.30 m
 Vx =   -53123.95 +/- 121.66 m/s
 Vy =    -1434.35 +/- 157.50 m/s
 Vz =    17751.39 +/- 526.44 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.330370e+03, +2.498236e+02, +1.018201e+03, +2.043876e+03, +1.165224e+03, +9.159271e+03
+2.498236e+02, +8.061877e+02, +9.954954e+02, +1.866089e+03, +4.214630e+03, +6.742765e+03
+1.018201e+03, +9.954954e+02, +5.479754e+03, +9.557151e+03, +5.795200e+03, +3.707937e+04
+2.043876e+03, +1.866089e+03, +9.557151e+03, +2.171895e+04, +1.043142e+04, +7.717365e+04
+1.165224e+03, +4.214630e+03, +5.795200e+03, +1.043142e+04, +2.683654e+04, +3.683281e+04
+9.159271e+03, +6.742765e+03, +3.707937e+04, +7.717365e+04, +3.683281e+04, +2.888796e+05

Timing offsets (from input data):
    UK001L: -0.000212 s
    UK001Z: -0.000369 s
    UK003G: 0.000000 s
    UK003X: -0.000222 s

Reference point on the trajectory:
  Time: 2021-11-03 05:38:10.756649 UTC
  Lon     = +-2.506240 +/- 0.0005 deg
  Lat     = +52.310614 +/- 0.0004 deg
  Lat geo = +52.127080 +/- 0.0004 deg
  Ht      =   97580.71 +/- 60.47 m

  JD dynamic   = 2459521.735647461377 
  LST apparent = 124.7426819258 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 181.54662 +/- 0.1678 deg
  Dec       = +18.47079 +/- 0.5507 deg
  Azimuth   = 105.30763 +/- 0.3739 deg
  Elevation = +34.62500 +/- 0.4813 deg
  Vavg      =  53.83947 +/- 0.0170 km/s
  Vinit     =  56.02967 +/- 0.0394 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 181.71661 +/- 0.1678 deg
  Dec       = +18.39261 +/- 0.5507 deg
  Azimuth   = 105.21329 +/- 0.3739 deg
  Elevation = +34.46349 +/- 0.4813 deg
  Vavg      =  54.06936 +/- 0.0170 km/s
  Vinit     =  56.25956 +/- 0.0394 km/s
Radiant (geocentric, J2000):
  R.A.   = 181.66340 +/- 0.1692 deg
  Dec    = +18.12184 +/- 0.5573 deg
  Vg     =  54.91782 +/- 0.0402 km/s
  Vinf   =  56.02967 +/- 0.0394 km/s
  Zc     =  55.32674 +/- 0.4803 deg
  Zg     =  55.92870 +/- 0.4869 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 174.08617 +/- 0.3332 deg
  Bg     = +17.23845 +/- 0.4843 deg
  Vh     =  39.95434 +/- 0.1016 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 207.89640 +/- 0.3168 deg
  Bh     = +24.03776 +/- 0.7271 deg
  Vh_x   =  32.24914 +/- 0.1380 km/s
  Vh_y   =  17.07245 +/- 0.2957 km/s
  Vh_z   = -16.27495 +/- 0.4507 km/s
Orbit:
  La Sun = 220.721532 +/- -0.0000 deg
  a      =   4.618422 +/- 0.2133 AU
  e      =   0.959485 +/- 0.0030
  i      = 116.463026 +/- 0.5160 deg
  peri   =  48.926388 +/- 1.2777 deg
  node   = 220.723954 +/- 0.0000 deg
  Pi     = 269.650341 +/- 1.2777 deg
  q      =   0.187116 +/- 0.0090 AU
  f      = 131.074473 +/- 1.2777 deg
  M      =   3.485167 +/- 0.2351 deg
  Q      =   9.049729 +/- 0.4311 AU
  n      =   0.099303 +/- 0.0062 deg/day
  T      =   9.925242 +/- 0.7033 years
  Last perihelion JD = 2459486.639451 (2021-09-29 03:20:48.532274) +/- 0.3371 days
  Tj     =   0.890290 +/- 0.0440
Shower association:
  IAU No.  =  847
  IAU code =  BEL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +9.735716e-06, -2.629370e-05, +1.046322e-03, +8.820816e-09, -3.588879e-03, +5.163912e-04
q   , -2.629370e-05, +8.713041e-05, -3.215405e-03, -5.469460e-08, +1.232321e-02, -3.217405e-03
Tp  , +1.046322e-03, -3.215405e-03, +1.218873e-01, +1.709284e-06, -4.493591e-01, +1.004410e-01
node, +8.820816e-09, -5.469460e-08, +1.709284e-06, +8.123220e-11, -8.351828e-06, +4.787455e-06
peri, -3.588879e-03, +1.232321e-02, -4.493591e-01, -8.351828e-06, +1.752600e+00, -4.914562e-01
i   , +5.163912e-04, -3.217405e-03, +1.004410e-01, +4.787455e-06, -4.914562e-01, +2.821647e-01

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: UK003G
  Avg. res. = 2.141e-06 s
  Stddev    = 1.46e-03 s

Begin point on the trajectory:
  Lon =    -2.506004 +/- 0.0005 deg
  Lat =    52.310575 +/- 0.0004 deg
  Ht  = 97592.42 +/- 53.35 m
End point on the trajectory:
  Lon =    -2.643292 +/- 0.0004 deg
  Lat =    52.333364 +/- 0.0004 deg
  Ht  = 90848.73 +/- 28.79 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,    97005.90,    90848.73,          0.029666,     69.93,     12.51,              99.84, 0.9708,    True,    True, {"ff_name": "FF_UK001L_20211103_053810_767_1120768.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,    97115.45,    91152.09,          0.015892,     41.75,     31.95,              77.12, 0.9503,    True,    True, {"ff_name": "FF_UK001Z_20211103_053802_086_1107968.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,   0.221083,  31.181578,    97592.42,    91168.90,          0.016583,     43.01,     10.81,              93.81, 0.9956,    True,    True, {"ff_name": "FF_UK003G_20211103_053802_114_1115392.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000000,   0.000000,    97015.99,    90873.61,          0.016074,     32.76,      7.07,              75.82, 0.9400,   False,    True, {"ff_name": "FF_UK003X_20211103_053804_823_1113088.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,  0.012259, 2459521.734846863430,  49.81528,  50.81257,              300.35463,  44.69339,       300.39712,       44.68712,     49.81528,     +50.81257,      49.78124,      +50.83467, -2260005.38,  3260081.87,  5100946.83,      52.312559,       -2.517889,   97005.90,  136795.57,       0.00,             1011.65,   229.59,      0.00,           56370.43,    -12.95,    -72.51,         111.07,  +3.17,  +2.49
  1,     UK001L,       0,  0.052879, 2459521.734847333282,  48.90034,  50.20674,              300.08737,  43.87549,       300.15777,       43.86512,     48.90034,     +50.20674,      48.84333,      +50.24339, -2258085.24,  3260133.71,  5100305.21,      52.316450,       -2.541285,   95855.53,  137128.03,    2025.17,             3036.83,   -21.16,  49856.53,           56370.43,    -21.84,   -122.05,         186.50,  +1.77,  +1.08
  2,     UK001L,       0,  0.093559, 2459521.734847804066,  47.91108,  49.57680,              299.85672,  42.99519,       299.90971,       42.98740,     47.91108,     +49.57680,      47.86781,      +49.60440, -2256024.87,  3260189.34,  5099616.74,      52.320622,       -2.566390,   94621.62,  137516.81,    4198.23,             5209.89,  -127.39,  53418.40,           56370.43,    -16.70,    -93.40,         142.32,  +0.89,  +0.20
  3,     UK001L,       0,  0.134415, 2459521.734848277178,  46.69361,  48.79349,              299.60309,  41.89441,       299.61100,       41.89324,     46.69361,     +48.79349,      46.68754,      +48.79761, -2253439.22,  3260259.15,  5098752.74,      52.325852,       -2.597873,   93073.81,  138050.07,    6925.31,             7936.97,   310.54,  66748.56,           56370.43,     -2.54,    -14.23,          21.60,  +0.76,  +0.06
  4,     UK001L,       0,  0.175027, 2459521.734848747030,  45.86331,  48.21335,              299.40490,  41.10882,       299.40267,       41.10915,     45.86331,     +48.21335,      45.86594,      +48.21219, -2251576.39,  3260309.45,  5098130.28,      52.329616,       -2.620616,   91959.14,  138468.59,    8890.03,             9901.69,    -0.22,  48377.80,           55718.17,      0.73,      4.09,           6.19,  +0.83,  +0.12
  5,     UK001L,       0,  0.215631, 2459521.734849217348,  45.06254,  47.63116,              299.20962,  40.33100,       299.20118,       40.33224,     45.06254,     +47.63116,      45.07065,      +47.62676, -2249720.01,  3260359.57,  5097509.97,      52.333364,       -2.643292,   90848.73,  138912.34,   10847.95,            11859.60,  -317.33,  48219.77,           54463.40,      2.79,     15.64,          23.59,  +2.31,  +1.60
  0,     UK001Z,       0,  0.002245, 2459521.734846747015, 279.77087,  67.62105,               10.50757,  29.92165,        10.50168,       29.92973,    279.77087,     +67.62105,     279.77725,      +67.63029, -2260188.21,  3260076.93,  5101007.92,      52.312189,       -2.515637,   97115.45,  190270.11,       0.00,              818.83,   597.83,      0.00,           52759.03,    -19.30,    -25.21,          34.42,  +4.32,  +2.92
  1,     UK001Z,       0,  0.042477, 2459521.734847212676, 280.98952,  67.47359,               10.04523,  29.64356,        10.02572,       29.67015,    280.98952,     +67.47359,     281.01217,      +67.50392, -2258617.63,  3260119.34,  5100483.11,      52.315372,       -2.534800,   96174.45,  189875.40,    1656.49,             2475.31,     0.13,  41173.35,           52759.03,    -63.53,    -82.96,         113.51,  +2.64,  +1.25
  2,     UK001Z,       0,  0.082749, 2459521.734847678803, 282.67570,  67.31728,                9.37961,  29.31387,         9.38061,       29.31251,    282.67570,     +67.31728,     282.67480,      +67.31574, -2256481.34,  3260177.02,  5099769.27,      52.319698,       -2.560819,   94894.95,  189361.33,    3909.62,             4728.45,    -3.16,  55948.01,           52759.03,      3.24,      4.23,           5.80,  +1.88,  +0.49
  3,     UK001Z,       0,  0.123057, 2459521.734848145396, 284.45152,  67.10674,                8.68009,  28.93445,         8.68893,       28.92260,    284.45152,     +67.10674,     284.44019,      +67.09336, -2254185.66,  3260239.00,  5099002.16,      52.324343,       -2.588784,   93520.56,  188837.68,    6330.87,             7149.70,   159.65,  60068.72,           52759.03,     28.33,     37.06,          50.95,  +1.80,  +0.42
  4,     UK001Z,       0,  0.163321, 2459521.734848611522, 285.91757,  66.90444,                8.09957,  28.60286,         8.10862,       28.59084,    285.91757,     +66.90444,     285.90548,      +66.89093, -2252257.83,  3260291.05,  5098357.98,      52.328239,       -2.612308,   92366.85,  188420.79,    8364.15,             9182.98,   -63.05,  50498.63,           53144.67,     28.78,     37.65,          51.87,  +1.60,  +0.22
  5,     UK001Z,       0,  0.203609, 2459521.734849077649, 287.43144,  66.66631,                7.49609,  28.24081,         7.49885,       28.23716,    287.43144,     +66.66631,     287.42819,      +66.66224, -2250227.23,  3260345.88,  5097679.45,      52.332341,       -2.637091,   91152.09,  188004.75,   10505.82,            11324.65,  -178.71,  53158.99,           53256.89,      8.74,     11.43,          15.79,  +3.58,  +2.21
  0,     UK003G,       0,  0.000000, 2459521.734846720472,   8.78825,  69.10841,              335.77916,  39.03003,       335.81136,       39.00972,      8.78825,     +69.10841,       8.69851,      +69.11224, -2260984.12,  3260055.44,  5101273.87,      52.310575,       -2.506004,   97592.42,  153104.98,       0.00,               20.62,   -74.58,      0.00,           57008.39,     20.97,     83.52,         116.01,  +2.40,  +1.48
  1,     UK003G,       0,  0.040428, 2459521.734847188462,   8.39076,  68.18083,              335.06153,  38.27685,       335.05568,       38.28052,      8.39076,     +68.18083,       8.40666,      +68.18017, -2258612.31,  3260119.48,  5100481.33,      52.315382,       -2.534856,   96171.26,  153228.17,    2501.54,             2480.92,   120.56,  61876.40,           57008.39,     -3.84,    -15.26,          21.18,  +1.12,  +0.19
  2,     UK003G,       0,  0.080804, 2459521.734847655520,   8.11251,  67.34341,              334.40831,  37.60827,       334.38854,       37.62060,      8.11251,     +67.34341,       8.16428,      +67.34124, -2256475.69,  3260177.17,  5099767.38,      52.319709,       -2.560879,   94891.57,  153374.64,    4755.02,             4734.41,   111.79,  55812.49,           57008.39,    -13.03,    -51.74,          71.75,  +0.76,  -0.17
  3,     UK003G,       0,  0.121152, 2459521.734848122578,   7.91663,  66.53677,              333.77099,  36.97622,       333.75906,       36.98362,      7.91663,     +66.53677,       7.94728,      +66.53549, -2254420.47,  3260232.66,  5099080.63,      52.323868,       -2.585932,   93661.10,  153547.01,    6922.66,             6902.05,    18.74,  53723.59,           57008.39,     -7.90,    -31.37,          43.45,  +0.76,  -0.17
  4,     UK003G,       0,  0.161496, 2459521.734848589636,   7.73851,  65.73632,              333.14764,  36.34703,       333.14506,       36.34862,      7.73851,     +65.73632,       7.74555,      +65.73605, -2252377.11,  3260287.83,  5098397.84,      52.327998,       -2.610855,   92438.22,  153748.77,    9077.79,             9057.17,   -86.59,  53418.73,           55922.97,     -1.72,     -6.84,           9.46,  +0.48,  -0.45
  5,     UK003G,       0,  0.201860, 2459521.734849056695,   7.56060,  64.90767,              332.51490,  35.69108,       332.52000,       35.68795,      7.56060,     +64.90767,       7.54925,      +64.90819, -2250255.34,  3260345.12,  5097688.85,      52.332284,       -2.636743,   91168.90,  153990.02,   11315.61,            11295.00,  -110.35,  55441.11,           55543.77,      3.41,     13.55,          18.71,  +2.58,  +1.64
  0,     UK003X,       0,  0.017682, 2459521.734846925829,  55.93919,  84.52015,              351.41364,  53.34979,       351.38149,       53.37363,     55.93919,     +84.52015,      56.13100,      +84.49567, -2260022.24,  3260081.41,  5100952.46,      52.312525,       -2.517708,   97015.99,  120227.60,       0.00,              993.88,   -92.05,      0.00,           56867.26,    -13.57,    -62.75,         110.15,  +2.55,  +2.15
  1,     UK003X,       0,  0.057946, 2459521.734847391956,  47.14628,  83.69493,              349.82492,  52.59149,       349.81308,       52.60004,     47.14628,     +83.69493,      47.21926,      +83.68712, -2257529.26,  3260148.72,  5100119.43,      52.317576,       -2.548033,   95522.52,  119565.19,    2629.34,             3623.22,   281.30,  65302.39,           56867.26,     -4.92,    -22.80,          40.23,  +1.55,  +1.16
  2,     UK003X,       0,  0.098134, 2459521.734847857151,  42.44638,  83.06489,              348.77248,  52.06609,       348.77680,       52.06302,     42.44638,     +83.06489,      42.42093,      +83.06748, -2255851.67,  3260194.02,  5099558.86,      52.320972,       -2.568506,   94517.91,  119150.70,    4398.69,             5392.57,  -201.06,  44026.86,           56867.26,      1.78,      8.24,          14.59,  +1.69,  +1.31
  3,     UK003X,       0,  0.138442, 2459521.734848323744,  36.62816,  82.06907,              347.27561,  51.23379,       347.26833,       51.23884,     36.62816,     +82.06907,      36.66963,      +82.06528, -2253348.26,  3260261.61,  5098722.35,      52.326036,       -2.598992,   93019.37,  118578.31,    7039.02,             8032.90,   180.82,  65503.94,           56867.26,     -2.97,    -13.75,          24.47,  +1.04,  +0.67
  4,     UK003X,       0,  0.178702, 2459521.734848789871,  32.89565,  81.18509,              346.05644,  50.53781,       346.05411,       50.53939,     32.89565,     +81.18509,      32.90864,      +81.18400, -2251285.15,  3260317.31,  5098032.96,      52.330204,       -2.624162,   91784.91,  118149.47,    9214.98,            10208.86,   101.03,  54047.72,           56740.41,     -0.94,     -4.38,           7.82,  +0.79,  +0.43
  5,     UK003X,       0,  0.218878, 2459521.734849254601,  30.68009,  80.49791,              345.15098,  50.02632,       345.17307,       50.01148,     30.68009,     +80.49791,      30.57104,      +80.50753, -2249761.64,  3260358.45,  5097523.88,      52.333280,       -2.642801,   90873.61,  117858.27,   10821.82,            11815.70,  -543.18,  39994.94,           54316.77,      8.88,     41.30,          73.93,  +3.96,  +3.60

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.