Orbital Analysis for matched events on 20211103_040010.296_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 104.60° Bg -7.03° Vg 64.69km/s
mass 0.01095g, abs. mag 0.2
best visual mag 0.7
Path Details
------------
start -2.74° 50.74° 113.05km
end   -2.76° 50.83° 98.15km

Orbit Details
-------------
Semimajor axis 6.26A.U., eccentricity 0.92, inclination 164.03°, Period 15.66Y, LA Sun 220.65°, last Perihelion 2006-04-16

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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: 2459521.666785839479
Time: 2021-11-03 04:00:10.336563 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK003J
 Convergence angle = 28.67102 deg
 R.A. = 107.76341  Dec = +15.93481 deg
Intersection 2 - Stations: UK0006 and UK003Z
 Convergence angle = 42.96373 deg
 R.A. = 106.20898  Dec = +15.48751 deg
Intersection 3 - Stations: UK003J and UK003Z
 Convergence angle = 14.32087 deg
 R.A. = 103.36670  Dec = +16.80270 deg

Best intersection: Stations UK0006 and UK003Z with Qconv = 42.96 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -711452.52 +/- 43.20 m
 Y =   4056612.26 +/- 439.80 m
 Z =   5003396.18 +/- 181.96 m
 Vx =   -16702.89 +/- 432.86 m/s
 Vy =    60874.93 +/- 1494.00 m/s
 Vz =    17956.87 +/- 773.07 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.811992e+03, -3.569215e+03, -6.303217e+02, +2.168425e+03, +1.233217e+03, +2.143756e+03
-3.569215e+03, +1.380263e+05, +5.600978e+04, +1.463811e+05, +3.081113e+05, +1.927101e+05
-6.303217e+02, +5.600978e+04, +2.336909e+04, +6.180468e+04, +1.303222e+05, +8.286943e+04
+2.168425e+03, +1.463811e+05, +6.180468e+04, +2.050407e+05, +3.985382e+05, +2.476508e+05
+1.233217e+03, +3.081113e+05, +1.303222e+05, +3.985382e+05, +9.361921e+05, +5.585574e+05
+2.143756e+03, +1.927101e+05, +8.286943e+04, +2.476508e+05, +5.585574e+05, +3.442795e+05

Timing offsets (from input data):
    UK0006: 0.000035 s
    UK003E: 0.000000 s
    UK003J: 0.000000 s
    UK003Z: -0.000076 s

Reference point on the trajectory:
  Time: 2021-11-03 04:00:10.336563 UTC
  Lon     = +-2.732667 +/- 0.0013 deg
  Lat     = +50.725987 +/- 0.0020 deg
  Lat geo = +50.540620 +/- 0.0019 deg
  Ht      =  115036.66 +/- 413.21 m

  JD dynamic   = 2459521.667587043718 
  LST apparent = 99.9474225434 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 105.34324 +/- 0.7358 deg
  Dec       = +15.87925 +/- 0.3349 deg
  Azimuth   = 170.95360 +/- 1.1536 deg
  Elevation = +54.88363 +/- 0.4096 deg
  Vavg      =  64.87707 +/- 1.4360 km/s
  Vinit     =  65.62921 +/- 1.4751 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 105.61450 +/- 0.7358 deg
  Dec       = +15.87234 +/- 0.3349 deg
  Azimuth   = 170.50404 +/- 1.1536 deg
  Elevation = +54.84909 +/- 0.4096 deg
  Vavg      =  64.90491 +/- 1.4360 km/s
  Vinit     =  65.65706 +/- 1.4751 km/s
Radiant (geocentric, J2000):
  R.A.   = 105.05888 +/- 0.7418 deg
  Dec    = +15.65139 +/- 0.3467 deg
  Vg     =  64.68524 +/- 1.4964 km/s
  Vinf   =  65.62921 +/- 1.4751 km/s
  Zc     =  34.93332 +/- 0.4102 deg
  Zg     =  35.19451 +/- 0.4240 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 104.60010 +/- 0.7527 deg
  Bg     =  -7.02636 +/- 0.2718 deg
  Vh     =  40.57907 +/- 1.6472 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.64744 +/- 0.5290 deg
  Bh     = -11.24422 +/- 0.6326 deg
  Vh_x   =  -3.71272 +/- 0.4696 km/s
  Vh_y   = -39.62660 +/- 1.6703 km/s
  Vh_z   =   7.91257 +/- 0.1723 km/s
Orbit:
  La Sun = 220.653354 +/- 0.0000 deg
  a      =   6.259600 +/- 8.5124 AU
  e      =   0.923828 +/- 0.0728
  i      = 164.027923 +/- 0.7473 deg
  peri   =  94.678016 +/- 4.0568 deg
  node   =  40.651973 +/- 0.0002 deg
  Pi     = 135.329989 +/- 4.0569 deg
  q      =   0.476809 +/- 0.0148 AU
  f      = 265.318627 +/- 4.0566 deg
  M      = 357.470796 +/- nan deg
  Q      =  12.042391 +/- 17.0289 AU
  n      =   0.062934 +/- 0.0668 deg/day
  T      =  15.661037 +/- nan years
  Last perihelion JD = 2453841.562447 (2006-04-16 01:29:55.457277) +/- 15251.1819 days
  Tj     =   0.024156 +/- 0.8220
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.149742e-03, +2.674671e-04, -5.612440e+02, -5.808211e-06, -1.122336e-01, +2.857929e-02
q   , +2.674671e-04, +5.329036e-05, -7.702708e+01, -7.128022e-07, -1.627908e-02, +3.477330e-03
Tp  , -5.612440e+02, -7.702708e+01, +2.568403e+08, +1.413559e+00, +2.892265e+04, -6.729777e+03
node, -5.808211e-06, -7.128022e-07, +1.413559e+00, +1.679123e-08, +3.029830e-04, -8.295715e-05
peri, -1.122336e-01, -1.627908e-02, +2.892265e+04, +3.029830e-04, +6.151698e+00, -1.492301e+00
i   , +2.857929e-02, +3.477330e-03, -6.729777e+03, -8.295715e-05, -1.492301e+00, +4.109989e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.460607
 a2 = 16.325090

Mean time residuals from time vs. length:
  Station with reference time: UK003J
  Avg. res. = 2.457e-06 s
  Stddev    = 1.57e-03 s

Begin point on the trajectory:
  Lon =    -2.735730 +/- 0.0010 deg
  Lat =    50.738193 +/- 0.0017 deg
  Ht  = 113046.89 +/- 355.38 m
End point on the trajectory:
  Lon =    -2.760012 +/- 0.0016 deg
  Lat =    50.829883 +/- 0.0009 deg
  Ht  = 98147.99 +/- 234.40 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   111500.78,   101077.48,          0.018605,     20.93,     57.21,              37.50, 0.3705,    True,    True, {"ff_name": "FF_UK0006_20211103_040009_690_0973568.fits"}
    UK003E,    True,    -1.802002,    51.351948,  130.00, 9058.879799,   0.337676,   106245.56,   100165.31,          0.018463,       nan,       nan,              31.89, 0.0000,   False,    True, {"ff_name": "FF_UK003E_20211103_040009_380_0969472.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   113046.89,    98156.90,          0.017288,     29.59,     23.82,              16.68, 0.0824,    True,    True, {"ff_name": "FF_UK003J_20211103_040008_482_0966400.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,   111383.70,    98147.99,          0.011508,     23.85,     11.74,              42.89, 0.4632,    True,    True, {"ff_name": "FF_UK003Z_20211103_040004_090_0969728.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,     UK0006,       0,  0.068313, 2459521.666786847170,  69.87852,   2.12771,              218.88025,  33.72305,       218.88450,       33.72640,     69.87852,      +2.12771,      69.87656,       +2.13217,  -710352.26,  4052602.25,  5002213.30,      50.747684,       -2.738309,  111500.78,  196956.91,       0.00,             4323.19,  -114.50,      0.00,           67548.99,    -15.73,     -5.73,          17.53,  +2.83,  +1.36
  1,     UK0006,       0,  0.108657, 2459521.666787314229,  69.42713,   1.93931,              219.29076,  33.37385,       219.28875,       33.37226,     69.42713,      +1.93931,      69.42822,       +1.93719,  -709661.98,  4050086.49,  5001471.21,      50.761308,       -2.741899,  109282.96,  194819.20,    2712.23,             7035.43,   -50.01,  67227.68,           67548.99,      7.38,      2.69,           8.32,  +1.95,  +0.50
  2,     UK0006,       0,  0.149025, 2459521.666787781287,  68.97080,   1.72551,              219.69162,  32.99809,       219.70177,       33.00605,     68.97080,      +1.72551,      68.96644,       +1.73618,  -708966.26,  4047550.88,  5000723.25,      50.775049,       -2.745521,  107047.98,  192679.22,    5445.88,             9769.07,    34.32,  67718.15,           67548.99,    -36.82,    -13.41,          41.95,  +1.24,  -0.18
  3,     UK0006,       0,  0.189385, 2459521.666788248345,  68.49590,   1.52775,              220.11704,  32.62846,       220.11996,       32.63074,     68.49590,      +1.52775,      68.49504,       +1.53083,  -708271.43,  4045018.52,  4999976.26,      50.788782,       -2.749143,  104816.25,  190557.17,    8176.01,            12499.21,   115.65,  67644.55,           67548.99,    -10.50,     -3.83,          12.10,  +1.72,  +0.32
  4,     UK0006,       0,  0.229757, 2459521.666788715869,  68.01807,   1.31539,              220.53533,  32.24291,       220.54155,       32.24776,     68.01807,      +1.31539,      68.01585,       +1.32194,  -707580.48,  4042500.29,  4999233.43,      50.802447,       -2.752750,  102597.33,  188462.54,   10890.91,            15214.10,   180.97,  67247.03,           67503.77,    -22.12,     -8.06,          25.77,  +2.83,  +1.45
  5,     UK0006,       0,  0.269993, 2459521.666789181530,  67.66246,   1.21549,              220.87209,  32.00832,       220.83472,       31.97925,     67.66246,      +1.21549,      67.68055,       +1.17609,  -707107.15,  4040775.23,  4998724.57,      50.811814,       -2.755276,  101077.48,  187038.86,   12750.70,            17073.89,  -599.90,  46221.95,           64460.49,    131.84,     48.26,         154.83,  +5.22,  +3.86
  0,     UK003E,       1,  0.317692, 2459521.666789516341,  70.58688,  17.44263,              226.53083,  48.46711,       226.53104,       48.46734,     70.58688,     +17.44263,      70.58782,      +17.44289,  -708716.55,  4046640.81,  5000454.80,      50.779984,       -2.747388,  106245.56,  140861.13,       0.00,            10750.21, -10053.98,      0.00,           62155.60,     -0.46,     -0.47,           0.96,  +0.90,  +0.16
  1,     UK003E,       1,  0.357972, 2459521.666789982468,  70.02149,  17.41506,              227.22374,  48.18516,       227.22588,       48.18750,     70.02149,     +17.41506,      70.02247,      +17.41779,  -708114.31,  4044445.90,  4999807.35,      50.791889,       -2.750550,  104311.23,  138894.78,    2366.34,            13116.55, -10331.19,  58747.15,           62155.60,     -4.64,     -4.75,           9.86,  +1.65,  +0.94
  2,     UK003E,       1,  0.398312, 2459521.666790449526,  69.34775,  17.37699,              228.03750,  47.84097,       228.04451,       47.84850,     69.34775,     +17.37699,      69.34856,      +17.38586,  -707417.04,  4041904.64,  4999057.73,      50.805681,       -2.754189,  102072.05,  136633.13,    5106.06,            15856.27, -10238.95,  67915.84,           62155.60,    -14.81,    -15.13,          31.97,  +2.24,  +1.56
  3,     UK003E,       1,  0.438628, 2459521.666790916119,  68.75698,  17.32016,              228.72669,  47.51558,       228.75520,       47.54569,     68.75698,     +17.32016,      68.75640,      +17.35585,  -706823.21,  4039740.38,  4998419.31,      50.817435,       -2.757317,  100165.31,  134721.88,    7439.35,            18189.56, -10551.57,  57874.93,           62155.60,    -58.84,    -60.00,         128.66,  +4.37,  +3.72
  0,     UK003J,       1,  0.000000, 2459521.666785839479,  89.03199,  18.87729,              199.47732,  56.32024,       199.47723,       56.31958,     89.03199,     +18.87729,      89.03151,      +18.87664,  -711420.91,  4056497.05,  5003362.19,      50.726610,       -2.732656,  114935.06,  137379.50,       0.00,              124.21,   169.85,      0.00,           65030.59,      1.00,      1.25,           2.40,  +5.59,  +4.90
  1,     UK003J,       0,  0.040044, 2459521.666786302812,  88.74941,  18.92959,              199.96825,  56.31168,       199.96607,       56.29700,     88.74941,     +18.92959,      88.74694,      +18.91502,  -710833.40,  4054355.81,  5002730.57,      50.738193,       -2.735730,  113046.89,  135162.42,    2308.48,             2432.68,  -149.73,  57648.48,           65030.59,     21.77,     27.09,          53.03,  +2.11,  +1.46
  2,     UK003J,       0,  0.080112, 2459521.666786766611,  88.39453,  18.98325,              200.57923,  56.28713,       200.57583,       56.26632,     88.39453,     +18.98325,      88.39132,      +18.96257,  -710123.54,  4051768.69,  5001967.42,      50.752197,       -2.739413,  110765.90,  132487.41,    5097.65,             5221.85,     9.81,  69610.91,           65030.59,     30.25,     37.68,          75.23,  +1.73,  +1.12
  3,     UK003J,       0,  0.120192, 2459521.666787230410,  88.04011,  19.02080,              201.18163,  56.24475,       201.17949,       56.23289,     88.04011,     +19.02080,      88.03846,      +19.00900,  -709447.26,  4049303.91,  5001240.36,      50.765548,       -2.742934,  108593.12,  129943.49,    7754.92,             7879.13,    36.67,  66299.36,           65030.59,     16.94,     21.07,          42.91,  +1.39,  +0.82
  4,     UK003J,       0,  0.160256, 2459521.666787694208,  87.66914,  19.08149,              201.82014,  56.21873,       201.81539,       56.19444,     87.66914,     +19.08149,      87.66584,      +19.05729,  -708760.94,  4046802.58,  5000502.52,      50.779106,       -2.746509,  106388.48,  127366.58,   10451.61,            10575.82,   103.99,  67309.39,           65765.89,     34.00,     42.35,          87.96,  +1.24,  +0.71
  5,     UK003J,       0,  0.200360, 2459521.666788158473,  87.28857,  19.10189,              202.45513,  56.14895,       202.45585,       56.15231,     87.28857,     +19.10189,      87.28952,      +19.10524,  -708095.56,  4044377.54,  4999787.18,      50.792259,       -2.749985,  104251.42,  124873.21,   13066.03,            13190.24,    86.42,  65191.17,           65893.78,     -4.62,     -5.74,          12.17,  +1.70,  +1.22
  6,     UK003J,       0,  0.240432, 2459521.666788622271,  86.93267,  19.14835,              203.05973,  56.10790,       203.06006,       56.10933,     86.93267,     +19.14835,      86.93350,      +19.14978,  -707490.77,  4042173.35,  4999136.99,      50.804222,       -2.753163,  102309.26,  122611.54,   15442.37,            15566.58,  -167.14,  59301.68,           65233.11,     -1.94,     -2.40,           5.19,  +2.13,  +1.69
  7,     UK003J,       0,  0.280544, 2459521.666789086536,  86.47412,  19.18062,              203.82353,  56.02513,       203.82993,       56.05041,     86.47412,     +19.18062,      86.47842,      +19.20593,  -706747.20,  4039463.34,  4998337.59,      50.818940,       -2.757036,   99921.82,  119836.39,   18364.03,            18488.24,   122.00,  72837.59,           65592.22,    -33.55,    -41.53,          91.89,  +2.34,  +1.95
  8,     UK003J,       0,  0.320612, 2459521.666789550334,  86.12302,  19.23016,              204.41841,  55.98324,       204.42324,       56.00129,     86.12302,     +19.23016,      86.12646,      +19.24826,  -706197.43,  4037459.69,  4997746.56,      50.829828,       -2.759946,   98156.90,  117789.84,   20524.16,            20648.37,  -347.50,  53911.64,           64981.21,    -23.57,    -29.19,          65.70,  +4.91,  +4.55
  9,     UK003J,       1,  0.360716, 2459521.666790014133,  85.54241,  19.32169,              205.40406,  55.91844,       205.40288,       55.91438,     85.54241,     +19.32169,      85.54299,      +19.31761,  -705321.67,  4034267.89,  4996805.04,      50.847185,       -2.764489,   95345.95,  114536.79,   23965.24,            24089.45,   461.58,  85803.76,           65806.73,      5.15,      6.40,          14.80,  +6.36,  +6.07
  0,     UK003Z,       0,  0.065626, 2459521.666786876041,  60.53791,  29.15531,              249.71721,  52.79309,       249.70065,       52.77860,     60.53791,     +29.15531,      60.53515,      +29.13787,  -710315.82,  4052469.45,  5002174.13,      50.748403,       -2.738500,  111383.70,  139114.69,       0.00,             4466.36,   205.01,      0.00,           63107.68,     18.87,     38.37,          63.40,  +1.80,  +1.08
  1,     UK003Z,       0,  0.106158, 2459521.666787344962,  59.70290,  29.23515,              250.68784,  52.35746,       250.68595,       52.35583,     59.70290,     +29.23515,      59.70278,      +29.23317,  -709665.84,  4050100.56,  5001475.36,      50.761232,       -2.741891,  109295.36,  137270.16,    2553.90,             7020.26,    98.82,  63009.45,           63107.68,      2.11,      4.29,           7.18,  +1.08,  +0.39
  2,     UK003Z,       0,  0.146678, 2459521.666787814349,  58.86850,  29.32297,              251.65208,  51.92475,       251.65235,       51.92498,     58.86850,     +29.32297,      58.86888,      +29.32325,  -709032.85,  4047793.58,  5000794.84,      50.773734,       -2.745202,  107261.89,  135496.18,    5041.05,             9507.42,   -73.32,  61380.94,           63107.68,     -0.30,     -0.61,           1.03,  +0.74,  +0.08
  3,     UK003Z,       0,  0.187250, 2459521.666788283736,  57.95226,  29.42082,              252.69607,  51.44704,       252.69165,       51.44338,     57.95226,     +29.42082,      57.95217,      +29.41627,  -708356.47,  4045328.45,  5000067.68,      50.787101,       -2.748733,  105089.37,  133625.28,    7698.70,            12165.07,   -78.38,  65504.46,           63107.68,      4.72,      9.58,          16.48,  +0.96,  +0.33
  4,     UK003Z,       0,  0.227854, 2459521.666788753588,  56.97826,  29.51856,              253.78077,  50.93083,       253.77059,       50.92259,     56.97826,     +29.51856,      56.97766,      +29.50817,  -707658.65,  4042785.20,  4999317.47,      50.800901,       -2.752374,  102848.35,  131723.23,   10440.58,            14906.95,    -1.31,  67527.42,           64175.34,     10.61,     21.55,          37.61,  +1.63,  +1.03
  5,     UK003Z,       0,  0.268446, 2459521.666789223440,  56.03460,  29.59302,              254.79231,  50.41276,       254.78935,       50.41040,     56.03460,     +29.59302,      56.03511,      +29.59001,  -707003.50,  4040397.47,  4998613.14,      50.813865,       -2.755807,  100744.71,  129965.29,   13014.79,            17481.16,   -91.12,  63416.62,           64371.57,      3.03,      6.15,          10.88,  +2.56,  +1.99
  6,     UK003Z,       0,  0.309186, 2459521.666789695155,  54.83604,  29.70661,              256.07472,  49.76396,       256.05324,       49.74720,     54.83604,     +29.70661,      54.83485,      +29.68494,  -706194.65,  4037449.54,  4997743.56,      50.829883,       -2.760012,   98147.99,  127831.40,   16192.95,            20659.32,   413.31,  78010.83,           65909.82,     21.44,     43.56,          78.34,  +4.10,  +3.57

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.