Orbital Analysis for matched events on 20210929_044140.406_UK

Summary for Event
-----------------
shower ID 337 NUE
Lg 86.92° Bg -16.80° Vg 67.44km/s
mass 0.02080g, abs. mag -0.9
Path Details
------------
start -0.72° 48.51° 111.63km
end   -0.75° 48.60° 100.11km

Orbit Details
-------------
Semimajor axis 7.40A.U., eccentricity 0.87, inclination 150.19°, Period 20.13Y, LA Sun 185.97°, last Perihelion 2001-09-02

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: 2459486.695606552530
Time: 2021-09-29 04:41:40.406139 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0009 and UK002D
 Convergence angle = 24.82907 deg
 R.A. =  87.32339  Dec =  +5.43612 deg
Intersection 2 - Stations: UK0009 and UK0038
 Convergence angle = 40.90053 deg
 R.A. =  86.76609  Dec =  +3.53021 deg
Intersection 3 - Stations: UK002D and UK0038
 Convergence angle = 16.10558 deg
 R.A. =  88.02032  Dec =  +0.79810 deg

Best intersection: Stations UK0009 and UK0038 with Qconv = 40.90 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    905112.62 +/- 59.13 m
 Y =   4211386.91 +/- 550.77 m
 Z =   4838257.15 +/- 193.65 m
 Vx =     3221.13 +/- 441.01 m/s
 Vy =    67777.29 +/- 3964.19 m/s
 Vz =     8210.84 +/- 1973.07 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.299146e+03, +5.134654e+03, +2.415846e+01, +7.540613e+03, -9.176394e+03, +2.531231e+04
+5.134654e+03, +5.295257e+04, -1.346935e+04, -5.842366e+03, -3.876973e+04, +3.580618e+04
+2.415846e+01, -1.346935e+04, +4.766498e+03, +5.945964e+03, -3.344456e+03, +2.288231e+03
+7.540613e+03, -5.842366e+03, +5.945964e+03, +4.446542e+04, +1.495159e+04, +1.235334e+05
-9.176394e+03, -3.876973e+04, -3.344456e+03, +1.495159e+04, +3.033034e+05, -1.674613e+04
+2.531231e+04, +3.580618e+04, +2.288231e+03, +1.235334e+05, -1.674613e+04, +4.507325e+05

Timing offsets (from input data):
    UK0009: -0.000064 s
    UK002D: 0.000000 s
    UK0038: 0.000173 s

Reference point on the trajectory:
  Time: 2021-09-29 04:41:40.406139 UTC
  Lon     = +-0.715883 +/- 0.0009 deg
  Lat     = +48.508747 +/- 0.0047 deg
  Lat geo = +48.320983 +/- 0.0047 deg
  Ht      =  111712.60 +/- 242.28 m

  JD dynamic   = 2459486.696407293435 
  LST apparent = 77.8704835872 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  87.27905 +/- 0.2147 deg
  Dec       =  +6.89969 +/- 1.2675 deg
  Azimuth   = 166.06443 +/- 0.5197 deg
  Elevation = +47.63316 +/- 1.2283 deg
  Vavg      =  63.43132 +/- 2.8989 km/s
  Vinit     =  68.34878 +/- 3.8805 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  87.54052 +/- 0.2147 deg
  Dec       =  +6.89445 +/- 1.2675 deg
  Azimuth   = 165.68581 +/- 0.5197 deg
  Elevation = +47.58572 +/- 1.2283 deg
  Vavg      =  63.48300 +/- 2.8989 km/s
  Vinit     =  68.40045 +/- 3.8805 km/s
Radiant (geocentric, J2000):
  R.A.   =  87.03452 +/- 0.2174 deg
  Dec    =  +6.60265 +/- 1.2492 deg
  Vg     =  67.44253 +/- 3.9255 km/s
  Vinf   =  68.34878 +/- 3.8805 km/s
  Zc     =  42.18462 +/- 1.2279 deg
  Zg     =  42.47960 +/- 1.2091 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  86.92270 +/- 0.2480 deg
  Bg     = -16.80338 +/- 1.2461 deg
  Vh     =  40.63525 +/- 4.1537 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.61730 +/- 0.3422 deg
  Bh     = -28.66878 +/- 1.0402 deg
  Vh_x   =  -7.03666 +/- 0.4507 km/s
  Vh_y   = -34.95240 +/- 3.1995 km/s
  Vh_z   =  19.49458 +/- 2.7479 km/s
Orbit:
  La Sun = 185.968220 +/- 0.0000 deg
  a      =   7.400913 +/- 13.7314 AU
  e      =   0.874578 +/- 0.4171
  i      = 150.193678 +/- 1.0261 deg
  peri   =  32.582110 +/- 4.0071 deg
  node   =   5.971194 +/- 0.0000 deg
  Pi     =  38.553304 +/- 4.0071 deg
  q      =   0.928235 +/- 0.0098 AU
  f      = 327.418826 +/- 4.0070 deg
  M      = 358.886967 +/- nan deg
  Q      =  13.873591 +/- 27.4672 AU
  n      =   0.048953 +/- 0.4101 deg/day
  T      =  20.133932 +/- 471404481.8792 years
  Last perihelion JD = 2452155.386392 (2001-09-02 21:16:24.261408) +/- 36930.3736 days
  Tj     =  -0.300281 +/- 2.3584
Shower association:
  IAU No.  =  337
  IAU code =  NUE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.288965e-03, +1.314615e-04, -1.684503e+03, -1.852364e-10, -8.922291e-04, -4.162406e-06
q   , +1.314615e-04, +1.777640e-05, -7.036446e+01, -1.519657e-09, -9.310280e-05, -4.875691e-05
Tp  , -1.684503e+03, -7.036446e+01, +1.736722e+09, -7.518730e-03, +5.419007e+02, -2.473173e+02
node, -1.852364e-10, -1.519657e-09, -7.518730e-03, +2.591998e-13, +6.303963e-09, +8.373707e-09
peri, -8.922291e-04, -9.310280e-05, +5.419007e+02, +6.303963e-09, +5.192446e-04, +2.020489e-04
i   , -4.162406e-06, -4.875691e-05, -2.473173e+02, +8.373707e-09, +2.020489e-04, +2.705606e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.268114
 a2 = 31.101011

Mean time residuals from time vs. length:
  Station with reference time: UK002D
  Avg. res. = 4.629e-06 s
  Stddev    = 2.15e-03 s

Begin point on the trajectory:
  Lon =    -0.716129 +/- 0.0009 deg
  Lat =    48.509405 +/- 0.0044 deg
  Ht  = 111628.49 +/- 181.02 m
End point on the trajectory:
  Lon =    -0.750985 +/- 0.0008 deg
  Lat =    48.599718 +/- 0.0039 deg
  Ht  = 100112.89 +/- 143.83 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
    UK0009,   False,    -0.848117,    51.261084,   92.00,   2.412454,  22.565321,   111378.25,   100112.89,          0.012578,     32.06,     63.23,              25.14, 0.1804,    True,    True, {"ff_name": "FF_UK0009_20210929_044132_942_0529920.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   111628.49,   100531.27,          0.017337,     78.87,     65.61,              24.30, 0.1694,    True,    True, {"ff_name": "FF_UK002D_20210929_044133_984_0923392.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.443873,  29.230572,   108093.76,   100476.53,          0.021202,    116.05,     58.82,              25.56, 0.1861,    True,    True, {"ff_name": "FF_UK0038_20210929_044139_952_0922368.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,     UK0009,       0,  0.014331, 2459486.695606733207,  79.59350, -20.27829,              178.16553,  18.44204,       178.18407,       18.44760,     79.59350,     -20.27829,      79.57470,      -20.27311,   905091.29,  4210938.16,  4838202.78,      48.511363,       -0.716925,  111378.25,  328077.15,       0.00,              452.54,   383.04,      0.00,           64787.11,    -94.15,    -47.80,          66.39,  +3.20,  +0.62
  1,     UK0009,       0,  0.054263, 2459486.695607195608,  79.52893, -20.48066,              178.23376,  18.24099,       178.25330,       18.24685,     79.52893,     -20.48066,      79.50922,      -20.47518,   904971.89,  4208425.82,  4837898.43,      48.526013,       -0.722566,  109506.65,  325846.40,    2533.52,             2986.06,   187.25,  63445.92,           64787.11,    -98.71,    -50.11,          70.07,  +2.45,  -0.12
  2,     UK0009,       0,  0.094163, 2459486.695607657079,  79.44024, -20.69167,              178.32556,  18.03168,       178.32703,       18.03212,     79.44024,     -20.69167,      79.43914,      -20.69126,   904845.98,  4205776.47,  4837577.47,      48.541470,       -0.728511,  107533.46,  323498.88,    5205.21,             5657.74,   131.83,  66959.57,           64787.11,     -7.40,     -3.75,           5.29,  +1.57,  -0.98
  3,     UK0009,       0,  0.134083, 2459486.695608119480,  79.36577, -20.89682,              178.40285,  17.82790,       178.39765,       17.82634,     79.36577,     -20.89682,      79.37166,      -20.89829,   904727.02,  4203273.28,  4837274.23,      48.556084,       -0.734144,  105669.58,  321285.52,    7729.50,             8182.04,   -72.36,  63233.84,           64787.11,     25.96,     13.14,          18.68,  +1.41,  -1.12
  4,     UK0009,       0,  0.174019, 2459486.695608581416,  79.30466, -21.11519,              178.46693,  17.61061,       178.47100,       17.61183,     79.30466,     -21.11519,      79.30120,      -21.11404,   904604.74,  4200700.47,  4836962.54,      48.571112,       -0.739936,  103754.29,  319015.44,   10324.01,            10776.55,  -207.43,  64966.67,           64740.10,    -20.25,    -10.26,          14.68,  +1.26,  -1.26
  5,     UK0009,       0,  0.213939, 2459486.695609043352,  79.23104, -21.33604,              178.54292,  17.39100,       178.54599,       17.39192,     79.23104,     -21.33604,      79.22878,      -21.33517,   904481.18,  4198100.54,  4836647.58,      48.586307,       -0.745793,  101819.29,  316726.54,   12945.87,            13398.40,  -314.06,  65677.65,           64860.61,    -15.14,     -7.67,          11.05,  +1.34,  -1.16
  6,     UK0009,       0,  0.253843, 2459486.695609505288,  79.14369, -21.52766,              178.63139,  17.20075,       178.61316,       17.19527,     79.14369,     -21.52766,      79.16357,      -21.53286,   904372.19,  4195807.25,  4836369.76,      48.599718,       -0.750985,  100112.89,  314711.89,   15258.49,            15711.02,  -728.83,  57954.69,           64164.05,     89.50,     45.25,          65.73,  +3.05,  +0.56
  0,     UK002D,       0,  0.000000, 2459486.695606552530,  91.33069, -20.23586,              165.71170,  17.28154,       165.73129,       17.28176,     91.33069,     -20.23586,      91.31098,      -20.23871,   905107.25,  4211274.03,  4838243.47,      48.509405,       -0.716129,  111628.49,  346848.42,       0.00,              113.84,  1023.83,      0.00,           60494.30,    -72.43,     87.08,          67.36,  +4.25,  +1.55
  1,     UK002D,       0,  0.040100, 2459486.695607016794,  91.33651, -20.35258,              165.72613,  17.16551,       165.73496,       17.16562,     91.33651,     -20.35258,      91.32778,      -20.35386,   905035.49,  4209763.95,  4838060.53,      48.518209,       -0.719585,  110503.45,  345494.73,    1522.81,             1636.65,  -194.15,  37975.33,           60494.30,    -32.55,     39.10,          30.37,  +5.25,  +2.56
  2,     UK002D,       0,  0.080276, 2459486.695607481524,  91.35061, -20.55831,              165.74784,  16.96041,       165.73983,       16.96031,     91.35061,     -20.55831,      91.35903,      -20.55715,   904910.06,  4207124.76,  4837740.81,      48.533603,       -0.725506,  108537.58,  343134.36,    4184.25,             4298.09,  -278.69,  66244.55,           60494.30,     29.36,    -35.22,          27.56,  +2.04,  -0.64
  3,     UK002D,       0,  0.120476, 2459486.695607946720,  91.39625, -20.79150,              165.74388,  16.72336,       165.74514,       16.72338,     91.39625,     -20.79150,      91.39547,      -20.79169,   904767.44,  4204123.87,  4837377.27,      48.551117,       -0.732223,  106302.88,  340456.31,    7210.45,             7324.28,    -0.11,  75278.53,           60494.30,     -4.62,      5.54,           4.37,  +2.63,  -0.03
  4,     UK002D,       0,  0.160668, 2459486.695608411916,  91.46142, -21.01114,              165.71898,  16.49669,       165.75033,       16.49705,     91.46142,     -21.01114,      91.43027,      -21.01574,   904633.26,  4201300.54,  4837035.24,      48.567606,       -0.738562,  104200.97,  337941.96,   10057.58,            10171.42,    99.94,  70838.24,           64235.53,   -113.38,    136.34,         108.23,  +2.15,  -0.49
  5,     UK002D,       0,  0.200848, 2459486.695608877111,  91.49061, -21.22290,              165.72743,  16.28334,       165.75536,       16.28367,     91.49061,     -21.22290,      91.46302,      -21.22701,   904508.55,  4198676.37,  4836717.34,      48.582941,       -0.744472,  102247.83,  335609.57,   12703.87,            12817.71,    -0.02,  65860.93,           65535.89,   -100.44,    120.73,          96.52,  +1.75,  -0.88
  6,     UK002D,       0,  0.241012, 2459486.695609341841,  91.49084, -21.41521,              165.76027,  16.09365,       165.76009,       16.09364,     91.49084,     -21.41521,      91.49203,      -21.41518,   904398.91,  4196369.56,  4836437.88,      48.596429,       -0.749694,  100531.27,  333562.81,   15030.13,            15143.97,  -418.92,  57919.08,           65184.28,      0.63,     -0.75,           0.61,  +3.36,  +0.74
  0,     UK0038,       0,  0.083449, 2459486.695607546251,  97.98026, -19.96326,              158.71619,  16.16100,       158.68205,       16.16590,     97.98026,     -19.96326,      98.01321,      -19.95059,   904881.74,  4206528.83,  4837668.62,      48.537080,       -0.726829,  108093.76,  355344.42,       0.00,             4899.04,   105.39,      0.00,           66966.17,     93.08,   -183.31,         119.34,  +4.53,  +1.78
  1,     UK0038,       0,  0.123601, 2459486.695608010981,  98.09260, -20.12020,              158.64907,  15.98322,       158.65528,       15.98232,     98.09260,     -20.12020,      98.08719,      -20.12251,   904769.81,  4204173.75,  4837383.31,      48.550826,       -0.732138,  106340.01,  353262.06,    2374.94,             7273.98,  -264.01,  59148.77,           66966.17,    -16.81,     33.21,          21.73,  +2.19,  -0.55
  2,     UK0038,       0,  0.163801, 2459486.695608476177,  98.16585, -20.35595,              158.63915,  15.73784,       158.61953,       15.74066,     98.16585,     -20.35595,      98.18535,      -20.34863,   904624.50,  4201116.27,  4837012.92,      48.568682,       -0.738988,  104063.80,  350565.45,    5458.20,            10357.24,    71.63,  76698.07,           66966.17,     52.86,   -104.20,          68.75,  +1.94,  -0.78
  3,     UK0038,       0,  0.203961, 2459486.695608940907,  98.25833, -20.53554,              158.59717,  15.54257,       158.59081,       15.54349,     98.25833,     -20.53554,      98.26531,      -20.53316,   904507.55,  4198655.50,  4836714.81,      48.583063,       -0.744541,  102232.29,  348399.01,    7939.72,            12838.76,  -191.74,  61790.76,           66966.17,     17.04,    -33.63,          22.32,  +1.65,  -1.06
  4,     UK0038,       0,  0.244121, 2459486.695609406102,  98.36825, -20.70197,              158.53576,  15.35608,       158.56306,       15.35212,     98.36825,     -20.70197,      98.34301,      -20.71224,   904395.42,  4196295.99,  4836428.97,      48.596859,       -0.749878,  100476.53,  346325.54,   10319.13,            15218.17,  -557.22,  59248.15,           65230.21,    -72.61,    143.67,          95.87,  +3.83,  +1.13

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.