Orbital Analysis for matched events on 20210929_035904.457_UK

Summary for Event
-----------------
shower ID 225 SOR
Lg 87.25° Bg -22.94° Vg 66.40km/s
mass 0.00219g, abs. mag 1.7
Path Details
------------
start -1.58° 50.37° 113.08km
end   -1.65° 50.46° 104.64km

Orbit Details
-------------
Semimajor axis 13.95A.U., eccentricity 0.93, inclination 139.88°, Period 52.10Y, LA Sun 185.94°, last Perihelion 1969-09-10

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: 2459486.666023808997
Time: 2021-09-29 03:59:04.457097 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0009 and UK000H
 Convergence angle = 48.25440 deg
 R.A. =  87.82137  Dec =  +0.87305 deg
Intersection 2 - Stations: UK0009 and UK002D
 Convergence angle = 5.51773 deg
 R.A. =  94.61931  Dec =  -0.62940 deg
Intersection 3 - Stations: UK000H and UK002D
 Convergence angle = 42.78131 deg
 R.A. =  87.33994  Dec =  +1.73038 deg

Best intersection: Stations UK0009 and UK000H with Qconv = 48.25 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1665402.78 +/- 75.74 m
 Y =   3799508.69 +/- 82.47 m
 Z =   4976219.25 +/- 18.77 m
 Vx =     2779.38 +/- 590.65 m/s
 Vy =    67250.82 +/- 731.93 m/s
 Vz =      997.41 +/- 166.06 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.080658e+03, +1.489385e+03, -1.064240e+02, +8.759916e+03, +7.996757e+03, +2.916717e+02
+1.489385e+03, +2.513493e+03, -9.407625e+01, +1.225588e+04, +1.122186e+04, +6.662540e+02
-1.064240e+02, -9.407625e+01, +3.199395e+02, +1.718950e+03, +1.977390e+03, +2.675076e+03
+8.759916e+03, +1.225588e+04, +1.718950e+03, +1.424808e+05, +1.340248e+05, +4.112119e+04
+7.996757e+03, +1.122186e+04, +1.977390e+03, +1.340248e+05, +1.272982e+05, +4.124985e+04
+2.916717e+02, +6.662540e+02, +2.675076e+03, +4.112119e+04, +4.124985e+04, +3.001059e+04

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK0009: 0.000000 s
    UK000H: -0.000296 s
    UK0022: 0.000000 s
    UK002D: -0.000182 s

Reference point on the trajectory:
  Time: 2021-09-29 03:59:04.457097 UTC
  Lon     = +-1.576248 +/- 0.0005 deg
  Lat     = +50.369263 +/- 0.0007 deg
  Lat geo = +50.183394 +/- 0.0007 deg
  Ht      =  113083.65 +/- 76.71 m

  JD dynamic   = 2459486.666824549902 
  LST apparent = 66.3311726855 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  87.63339 +/- 0.4786 deg
  Dec       =  +0.84897 +/- 0.1325 deg
  Azimuth   = 152.84010 +/- 0.5450 deg
  Elevation = +37.27237 +/- 0.2408 deg
  Vavg      =  64.58783 +/- 1.0067 km/s
  Vinit     =  67.31562 +/- 0.7053 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  87.87292 +/- 0.4786 deg
  Dec       =  +0.84758 +/- 0.1325 deg
  Azimuth   = 152.55295 +/- 0.5450 deg
  Elevation = +37.20096 +/- 0.2408 deg
  Vavg      =  64.69830 +/- 1.0067 km/s
  Vinit     =  67.42610 +/- 0.7053 km/s
Radiant (geocentric, J2000):
  R.A.   =  87.46790 +/- 0.4620 deg
  Dec    =  +0.47155 +/- 0.1384 deg
  Vg     =  66.39537 +/- 0.7149 km/s
  Vinf   =  67.31562 +/- 0.7053 km/s
  Zc     =  52.56231 +/- 0.2320 deg
  Zg     =  52.95176 +/- 0.2415 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  87.25034 +/- 0.4999 deg
  Bg     = -22.94198 +/- 0.1448 deg
  Vh     =  41.32159 +/- 0.7141 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.37957 +/- 0.7417 deg
  Bh     = -38.77562 +/- 0.5110 deg
  Vh_x   =  -6.48887 +/- 0.5739 km/s
  Vh_y   = -31.55422 +/- 0.6781 km/s
  Vh_z   =  25.87857 +/- 0.1967 km/s
Orbit:
  La Sun = 185.939170 +/- 0.0000 deg
  a      =  13.949990 +/- 67.1765 AU
  e      =   0.932304 +/- 0.0637
  i      = 139.882706 +/- 0.4114 deg
  peri   =  28.219677 +/- 0.4469 deg
  node   =   5.941865 +/- 0.0000 deg
  Pi     =  34.161542 +/- 0.4469 deg
  q      =   0.944353 +/- 0.0036 AU
  f      = 331.781223 +/- 0.4469 deg
  M      = 359.627911 +/- nan deg
  Q      =  26.955627 +/- 134.3518 AU
  n      =   0.018917 +/- 0.0142 deg/day
  T      =  52.102850 +/- 489897894.1925 years
  Last perihelion JD = 2440475.439321 (1969-09-10 22:32:37.311760) +/- 52910.3569 days
  Tj     =  -0.532586 +/- 0.3698
Shower association:
  IAU No.  =  225
  IAU code =  SOR

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.052689e-03, -7.746752e-05, -1.278486e+03, +3.456717e-09, +1.948612e-04, +1.436351e-04
q   , -7.746752e-05, +6.129052e-06, +9.009729e+01, -2.383697e-10, -1.628930e-05, -9.899711e-06
Tp  , -1.278486e+03, +9.009729e+01, +2.881122e+09, -3.649689e-03, -2.164092e+02, -1.510551e+02
node, +3.456717e-09, -2.383697e-10, -3.649689e-03, +1.948894e-14, +5.693086e-10, +8.099085e-10
peri, +1.948612e-04, -1.628930e-05, -2.164092e+02, +5.693086e-10, +4.495250e-05, +2.363459e-05
i   , +1.436351e-04, -9.899711e-06, -1.510551e+02, +8.099085e-10, +2.363459e-05, +3.365852e-05

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: UK0009
  Avg. res. = 1.735e-06 s
  Stddev    = 1.32e-03 s

Begin point on the trajectory:
  Lon =    -1.576312 +/- 0.0005 deg
  Lat =    50.369342 +/- 0.0007 deg
  Ht  = 113075.96 +/- 77.34 m
End point on the trajectory:
  Lon =    -1.647404 +/- 0.0002 deg
  Lat =    50.456603 +/- 0.0014 deg
  Ht  = 104644.15 +/- 159.68 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
    UK0001,    True,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   112773.32,   105107.45,          0.065279,       nan,       nan,              27.21, 0.0000,    True,    True, {"ff_name": "FF_UK0001_20210929_035902_412_0861696.fits"}
    UK0009,   False,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,   113075.96,   105519.62,          0.008036,     17.85,     13.31,              40.28, 0.4181,    True,   False, {"ff_name": "FF_UK0009_20210929_035856_158_0467968.fits"}
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   111879.87,   107115.84,          0.023850,     49.21,     10.26,              27.21, 0.2091,    True,    True, {"ff_name": "FF_UK000H_20210929_035901_006_0861184.fits"}
    UK0022,    True,    -0.848117,    51.261084,   92.00, 303.253055,  14.923404,   118745.49,   113551.81,          0.145386,       nan,       nan,              40.28, 0.0000,    True,    True, {"ff_name": "FF_UK0022_20210929_035855_303_0379904.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000001,  90.834009,   112370.55,   104644.15,          0.021209,     47.27,     26.17,              16.15, 0.0774,    True,    True, {"ff_name": "FF_UK002D_20210929_035857_303_0860672.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,     UK0001,       1,  0.004748, 2459486.666023863945,  73.39714,  24.69042,              165.20918,  63.24046,       165.26503,       63.23032,     73.39714,     +24.69042,      73.37189,      +24.67600,  1665381.62,  3798996.73,  4976211.66,      50.372468,       -1.578839,  112773.32,  126005.25,       0.00,              512.45,   876.19,      0.00,           60643.17,    -12.28,    -58.36,          97.62,  +5.47,  +4.97
  1,     UK0001,       1,  0.044448, 2459486.666024323553,  73.02383,  25.01498,              165.82872,  63.61899,       165.65928,       63.65034,     73.02383,     +25.01498,      73.09990,      +25.05877,  1665294.09,  3796878.75,  4976180.25,      50.385730,       -1.589648,  111489.73,  124127.87,    2120.02,             2632.47,   323.78,  53400.95,           60643.17,     35.64,    172.96,         293.45,  +2.05,  +1.58
  2,     UK0001,       1,  0.084180, 2459486.666024783161,  72.69479,  25.48304,              166.31643,  64.13040,       166.15366,       64.16061,     72.69479,     +25.48304,      72.76712,      +25.52464,  1665190.84,  3794380.60,  4976143.20,      50.401377,       -1.602381,  109976.28,  121924.11,    4620.58,             5133.03,   149.76,  62935.80,           60643.17,     33.13,    160.78,         277.71,  +1.44,  +1.01
  3,     UK0001,       1,  0.123900, 2459486.666025243234,  72.34262,  25.98325,              166.85273,  64.67554,       166.70173,       64.70365,     72.34262,     +25.98325,      72.40900,      +26.02138,  1665084.53,  3791808.32,  4976105.05,      50.417496,       -1.615502,  108418.54,  119667.36,    7195.34,             7707.79,    50.74,  64822.73,           60643.17,     29.70,    144.03,         253.48,  +1.30,  +0.91
  4,     UK0001,       1,  0.163616, 2459486.666025702842,  71.98477,  26.45157,              167.42799,  65.18836,       167.24871,       65.22194,     71.98477,     +26.45157,      72.06264,      +26.49638,  1664986.31,  3789431.85,  4976069.80,      50.432392,       -1.627650,  106979.95,  117594.09,    9574.10,            10086.55,  -244.01,  59894.15,           60987.73,     34.04,    165.54,         296.44,  +2.47,  +2.12
  5,     UK0001,       1,  0.203288, 2459486.666026161984,  71.56843,  27.12691,              168.07096,  65.91182,       168.02120,       65.92112,     71.56843,     +27.12691,      71.59031,      +27.13910,  1664858.42,  3786337.23,  4976023.90,      50.451799,       -1.643437,  105107.45,  114912.62,   12671.70,            13184.14,   183.05,  78080.20,           63524.93,      9.11,     43.86,          80.41,  +5.10,  +4.80
  0,     UK0009,       0,  0.000000, 2459486.666023808997,  47.52485,   8.75647,              207.63228,  44.55742,       207.63574,       44.57474,     47.52485,      +8.75647,      47.52762,       +8.77375,  1665402.25,  3799495.99,  4976219.06,      50.369342,       -1.576312,  113075.96,  159565.57,       0.00,               12.71,   696.04,      0.00,           61769.26,    -29.13,    -39.07,          63.00,  +3.33,  +2.32
  1,     UK0009,       0,  0.039380, 2459486.666024264880,  47.05828,   8.83889,              208.28421,  44.49924,       208.28569,       44.50623,     47.05828,      +8.83889,      47.05955,       +8.84588,  1665321.15,  3797533.62,  4976189.96,      50.381629,       -1.586335,  111886.56,  158085.57,    1964.26,             1976.96,     9.41,  49879.55,           61769.26,    -11.66,    -15.64,          25.46,  +1.78,  +0.79
  2,     UK0009,       0,  0.078552, 2459486.666024717968,  46.42900,   8.94126,              209.15752,  44.40752,       209.15775,       44.40853,     46.42900,      +8.94126,      46.42949,       +8.94227,  1665214.14,  3794944.48,  4976151.56,      50.397845,       -1.599520,  110317.84,  156148.04,    4555.90,             4568.61,   -35.83,  66160.59,           61769.26,     -1.67,     -2.24,           3.69,  +1.46,  +0.49
  3,     UK0009,       0,  0.117680, 2459486.666025171056,  45.76680,   9.04426,              210.07136,  44.30057,       210.07092,       44.29876,     45.76680,      +9.04426,      45.76701,       +9.04244,  1665104.46,  3792290.43,  4976112.20,      50.414474,       -1.613047,  108710.45,  154181.92,    7212.51,             7225.21,   -13.15,  67895.28,           61769.26,      2.96,      3.97,           6.63,  +1.43,  +0.49
  4,     UK0009,       0,  0.156736, 2459486.666025623213,  45.05049,   9.14474,              211.05108,  44.16777,       211.05223,       44.17224,     45.05049,      +9.14474,      45.05183,       +9.14923,  1664989.11,  3789499.58,  4976070.80,      50.431968,       -1.627279,  107020.95,  152137.01,   10006.04,            10018.75,   151.31,  71526.46,           64470.88,     -7.21,     -9.68,          16.37,  +1.90,  +0.99
  5,     UK0009,       0,  0.195880, 2459486.666026076302,  44.39778,   9.24291,              211.94306,  44.04700,       211.94372,       44.04942,     44.39778,      +9.24291,      44.39897,       +9.24534,  1664886.58,  3787018.54,  4976034.01,      50.447526,       -1.639965,  105519.62,  150339.94,   12489.47,            12502.18,    -0.27,  63443.34,           65098.62,     -3.86,     -5.18,           8.87,  +3.09,  +2.20
  0,     UK000H,       0,  0.036547, 2459486.666024235543,  73.17218,  24.93518,              165.56197,  63.51725,       165.53830,       63.52158,     73.17218,     +24.93518,      73.18296,      +24.94128,  1665320.69,  3797522.58,  4976189.79,      50.381698,       -1.586380,  111879.87,  124697.58,       0.00,             1988.01,   211.18,      0.00,           66428.04,      5.07,     24.31,          41.07,  +2.62,  +2.14
  1,     UK000H,       0,  0.076371, 2459486.666024696548,  72.84671,  25.35434,              166.05627,  63.98060,       165.99038,       63.99274,     72.84671,     +25.35434,      72.87629,      +25.37117,  1665224.47,  3795194.34,  4976155.26,      50.396280,       -1.598255,  110469.20,  122640.51,    2330.49,             4318.50,  -139.11,  58519.62,           66428.04,     13.65,     65.68,         112.83,  +1.80,  +1.36
  2,     UK000H,       0,  0.116123, 2459486.666025156621,  72.47273,  25.89369,              166.61693,  64.56830,       166.57188,       64.57662,     72.47273,     +25.89369,      72.49293,      +25.90505,  1665109.09,  3792402.58,  4976113.86,      50.413771,       -1.612476,  108778.36,  120187.53,    5124.94,             7112.95,   -20.59,  70297.15,           66428.04,      9.00,     43.25,          75.82,  +1.68,  +1.28
  3,     UK000H,       0,  0.155847, 2459486.666025616229,  72.12115,  26.46530,              167.13551,  65.18296,       167.19401,       65.17217,     72.12115,     +26.46530,      72.09660,      +26.45080,  1664995.59,  3789656.37,  4976073.13,      50.430985,       -1.626486,  107115.84,  117789.58,    7873.79,             9861.81,    54.22,  69198.87,           66428.04,    -11.32,    -53.97,          96.56,  +4.50,  +4.14
  0,     UK0022,       1,  0.151674, 2459486.666025564540,  49.63235,   8.59694,              204.75153,  44.98635,       204.72856,       44.82751,     49.63235,      +8.59694,      49.60631,       +8.43946,  1665788.50,  3808841.80,  4976357.67,      50.310878,       -1.530111,  118745.49,  166781.97,       0.00,             9342.10,  -184.61,      0.00,           72178.95,    276.02,    373.95,         574.82,  +2.94,  +1.83
  1,     UK0022,       1,  0.191914, 2459486.666026030201,  49.01573,   8.66882,              205.60829,  44.89141,       205.58704,       44.75896,     49.01573,      +8.66882,      48.99456,       +8.53730,  1665672.75,  3806041.12,  4976316.13,      50.328390,       -1.544293,  117045.50,  164604.61,    2803.37,             6538.73, -5696.76,  69666.32,           72178.95,    227.68,    307.94,         479.89,  +3.08,  +2.00
  2,     UK0022,       1,  0.232170, 2459486.666026496328,  48.26869,   8.80341,              206.66147,  44.81474,       206.63505,       44.66648,     48.26869,      +8.80341,      48.24528,       +8.65593,  1665534.96,  3802706.92,  4976266.68,      50.349247,       -1.561169,  115022.65,  162037.02,    6140.79,             3201.31, -11744.04,  82904.85,           72178.95,    251.13,    339.91,         537.97,  +3.78,  +2.73
  3,     UK0022,       1,  0.272382, 2459486.666026961524,  47.70489,   8.87949,              207.44381,  44.72713,       207.41761,       44.59073,     47.70489,      +8.87949,      47.68380,       +8.74359,  1665434.72,  3800281.51,  4976230.71,      50.364425,       -1.573506,  113551.81,  160188.24,    8568.53,              773.57, -16878.68,  60373.64,           72178.95,    228.83,    309.48,         495.60,  +6.56,  +5.54
  0,     UK002D,       0,  0.026911, 2459486.666024121922,  71.93485,   6.54343,              171.80569,  44.93122,       171.80142,       44.93786,     71.93485,      +6.54343,      71.93739,       +6.55031,  1665354.15,  3798332.22,  4976201.80,      50.376628,       -1.582270,  112370.55,  157547.22,       0.00,             1177.59,    49.37,      0.00,           68497.94,     -9.67,    -17.56,          26.24,  +2.75,  +1.76
  1,     UK002D,       0,  0.066815, 2459486.666024583858,  71.66103,   6.64298,              172.17651,  45.05422,       172.17530,       45.05611,     71.66103,      +6.64298,      71.66200,       +6.64494,  1665242.99,  3795642.46,  4976161.91,      50.393473,       -1.595960,  110740.67,  154968.71,    2692.35,             3869.95,    55.56,  67470.80,           68497.94,     -2.71,     -4.92,           7.47,  +2.47,  +1.52
  2,     UK002D,       0,  0.106711, 2459486.666025045328,  71.37063,   6.75256,              172.57087,  45.18748,       172.57513,       45.18073,     71.37063,      +6.75256,      71.36861,       +6.74559,  1665128.49,  3792871.88,  4976120.82,      50.410830,       -1.610072,  109062.54,  152317.02,    5465.60,             6643.20,   143.19,  69511.98,           68497.94,      9.46,     17.21,          26.60,  +2.09,  +1.18
  3,     UK002D,       0,  0.146619, 2459486.666025507264,  71.06929,   6.84596,              172.98404,  45.30425,       172.98304,       45.30586,     71.06929,      +6.84596,      71.07049,       +6.84762,  1665016.15,  3790153.84,  4976080.51,      50.427866,       -1.623938,  107416.95,  149720.02,    8186.27,             9363.86,   177.42,  68173.38,           68497.94,     -2.20,     -4.00,           6.30,  +2.42,  +1.54
  4,     UK002D,       0,  0.186539, 2459486.666025969200,  70.78254,   6.92854,              173.37927,  45.40786,       173.37019,       45.42263,     70.78254,      +6.92854,      70.78864,       +6.94373,  1664913.60,  3787672.43,  4976043.71,      50.443425,       -1.636625,  105915.24,  147353.06,   10670.06,            11847.66,   -26.03,  62219.27,           67242.98,    -19.98,    -36.23,          57.91,  +3.35,  +2.51
  5,     UK002D,       0,  0.226483, 2459486.666026431601,  70.52522,   6.98185,              173.73704,  45.47907,       173.71019,       45.52346,     70.52522,      +6.98185,      70.54201,       +7.02743,  1664826.77,  3785571.37,  4976012.54,      50.456603,       -1.647404,  104644.15,  145351.90,   12773.15,            13950.75,  -611.79,  52650.93,           64797.83,    -59.29,   -107.00,         173.59,  +5.13,  +4.32

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.