Orbital Analysis for matched events on 20211103_232308.048_UK

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Summary for Event
-----------------
shower ID 23 EGE
Lg 111.01° Bg 5.32° Vg 66.69km/s
mass 0.01120g, abs. mag 0.5
best visual mag 0.8
Path Details
------------
start -2.37° 53.39° 112.14km
end   -2.69° 53.35° 101.37km

Orbit Details
-------------
Semimajor axis 5.67A.U., eccentricity 0.89, inclination 169.13°, Period 13.50Y, LA Sun 221.46°, last Perihelion 2008-06-14

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: 2459522.474398705177
Time: 2021-11-03 23:23:08.048127 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003T
 Convergence angle = 35.62284 deg
 R.A. = 113.52921  Dec = +27.65280 deg

Best intersection: Stations UK001L and UK003T with Qconv = 35.62 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3295254.74 +/- 56.66 m
 Y =   2046494.46 +/- 25.31 m
 Z =   5186463.07 +/- 117.42 m
 Vx =   -24046.31 +/- 345.81 m/s
 Vy =    55016.90 +/- 259.30 m/s
 Vz =    31070.67 +/- 659.60 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.450228e+03, -1.444771e+03, +7.056076e+03, +1.661126e+04, -7.894733e+03, +3.333139e+04
-1.444771e+03, +6.849369e+02, -2.966780e+03, -7.252481e+03, +3.665663e+03, -1.484722e+04
+7.056076e+03, -2.966780e+03, +1.485842e+04, +3.421099e+04, -1.684089e+04, +6.991356e+04
+1.661126e+04, -7.252481e+03, +3.421099e+04, +1.315555e+05, -6.338422e+04, +2.443208e+05
-7.894733e+03, +3.665663e+03, -1.684089e+04, -6.338422e+04, +3.202353e+04, -1.206235e+05
+3.333139e+04, -1.484722e+04, +6.991356e+04, +2.443208e+05, -1.206235e+05, +4.649497e+05

Timing offsets (from input data):
    UK001L: -0.000093 s
    UK003T: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 23:23:08.048127 UTC
  Lon     = +-2.374510 +/- 0.0007 deg
  Lat     = +53.387905 +/- 0.0004 deg
  Lat geo = +53.206687 +/- 0.0004 deg
  Ht      =  112141.15 +/- 115.23 m

  JD dynamic   = 2459522.475199446082 
  LST apparent = 31.8420536372 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 113.60876 +/- 0.2449 deg
  Dec       = +27.36063 +/- 0.6083 deg
  Azimuth   =  78.92772 +/- 0.2771 deg
  Elevation = +26.40802 +/- 0.5963 deg
  Vavg      =  65.82213 +/- 0.0398 km/s
  Vinit     =  67.60526 +/- 0.0577 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 113.64723 +/- 0.2449 deg
  Dec       = +27.25198 +/- 0.6083 deg
  Azimuth   =  78.97888 +/- 0.2771 deg
  Elevation = +26.30376 +/- 0.5963 deg
  Vavg      =  66.07090 +/- 0.0398 km/s
  Vinit     =  67.85402 +/- 0.0577 km/s
Radiant (geocentric, J2000):
  R.A.   = 113.63241 +/- 0.2475 deg
  Dec    = +27.04544 +/- 0.6138 deg
  Vg     =  66.68871 +/- 0.0585 km/s
  Vinf   =  67.60526 +/- 0.0577 km/s
  Zc     =  63.62692 +/- 0.5955 deg
  Zg     =  64.11208 +/- 0.6018 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 111.01257 +/- 0.3140 deg
  Bg     =  +5.31521 +/- 0.5720 deg
  Vh     =  40.40106 +/- 0.1968 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  95.16591 +/- 0.5085 deg
  Bh     =  +8.79550 +/- 0.9079 deg
  Vh_x   =   3.59493 +/- 0.3480 km/s
  Vh_y   = -39.76379 +/- 0.1122 km/s
  Vh_z   =  -6.17766 +/- 0.6685 km/s
Orbit:
  La Sun = 221.462520 +/- 0.0000 deg
  a      =   5.669233 +/- 0.8156 AU
  e      =   0.888800 +/- 0.0119
  i      = 169.132228 +/- 1.1952 deg
  peri   = 256.968995 +/- 0.2395 deg
  node   = 221.465644 +/- 0.0003 deg
  Pi     = 118.434639 +/- 0.2393 deg
  q      =   0.630420 +/- 0.0041 AU
  f      = 283.033889 +/- 0.2396 deg
  M      = 357.105596 +/- 0.4202 deg
  Q      =  10.708046 +/- 1.6351 AU
  n      =   0.073016 +/- 0.0104 deg/day
  T      =  13.498548 +/- 3.1951 years
  Last perihelion JD = 2454631.685250 (2008-06-14 04:26:45.634488) +/- 1167.2302 days
  Tj     =  -0.021519 +/- 0.0898
Shower association:
  IAU No.  =   23
  IAU code =  EGE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.517935e-04, -4.886721e-05, -1.473777e+01, -3.212387e-06, +2.081788e-03, -1.515085e-02
q   , -4.886721e-05, +1.783075e-05, +4.747615e+00, +1.051215e-06, -9.326717e-04, +4.980261e-03
Tp  , -1.473777e+01, +4.747615e+00, +1.458468e+06, +3.084370e-01, -2.025986e+02, +1.472189e+03
node, -3.212387e-06, +1.051215e-06, +3.084370e-01, +6.947429e-08, -4.616978e-05, +3.251850e-04
peri, +2.081788e-03, -9.326717e-04, -2.025986e+02, -4.616978e-05, +6.137865e-02, -2.205850e-01
i   , -1.515085e-02, +4.980261e-03, +1.472189e+03, +3.251850e-04, -2.205850e-01, +1.534686e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.126669
 a2 = 22.484264

Mean time residuals from time vs. length:
  Station with reference time: UK003T
  Avg. res. = 4.282e-06 s
  Stddev    = 2.07e-03 s

Begin point on the trajectory:
  Lon =    -2.374469 +/- 0.0007 deg
  Lat =    53.387910 +/- 0.0004 deg
  Ht  = 112142.56 +/- 117.57 m
End point on the trajectory:
  Lon =    -2.691707 +/- 0.0014 deg
  Lat =    53.350529 +/- 0.0004 deg
  Ht  = 101371.68 +/- 148.12 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,   1.293131,  18.769315,   111282.79,   104204.08,          0.027122,     65.87,     77.71,              85.65, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20211103_232301_651_0561408.fits"}
    UK003T,   False,    -1.740490,    53.069201,  240.00,   0.000936,  35.877642,   112142.56,   101371.68,          0.005684,     11.95,      3.01,              81.05, 1.0000,    True,    True, {"ff_name": "FF_UK003T_20211103_232259_395_0559872.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,  0.026676, 2459522.474399010185, 260.78199,  62.35897,              336.50927,  30.32253,       336.54147,       30.27263,    260.78199,     +62.35897,     260.67435,      +62.33138,  3295941.35,  2044923.54,  5185575.90,      53.384970,       -2.399684,  111282.79,  215311.64,       0.00,             1930.36,   292.57,      0.00,           68459.29,    163.71,   -138.81,         205.62,  +4.75,  +3.08
  1,     UK001L,       0,  0.067024, 2459522.474399477243, 261.29801,  61.76954,              335.91025,  29.95173,       335.90252,       29.96361,    261.29801,     +61.76954,     261.32366,      +61.77603,  3296785.10,  2042993.07,  5184485.67,      53.381356,       -2.430657,  110228.58,  215184.29,    2372.18,             4302.54,   -62.99,  58793.06,           68459.29,    -39.11,     33.08,          49.10,  +3.74,  +2.08
  2,     UK001L,       0,  0.107320, 2459522.474399943370, 262.03864,  61.17889,              335.20185,  29.64184,       335.21325,       29.62453,    262.03864,     +61.17889,     262.00247,      +61.16961,  3297700.62,  2040898.40,  5183302.71,      53.377423,       -2.464255,  109085.48,  215075.51,    4946.13,             6876.49,  -213.27,  63875.95,           68459.29,     57.13,    -48.38,          71.80,  +2.68,  +1.02
  3,     UK001L,       0,  0.147736, 2459522.474400411360, 262.91769,  60.37744,              334.29069,  29.19845,       334.30928,       29.17061,    262.91769,     +60.37744,     262.86022,      +60.36281,  3298910.93,  2038129.26,  5181738.84,      53.372208,       -2.508627,  107575.56,  214977.90,    8348.87,            10279.23,   457.14,  84192.96,           68459.29,     92.25,    -78.16,         116.00,  +2.91,  +1.25
  4,     UK001L,       0,  0.188036, 2459522.474400877953, 263.42356,  59.82460,              333.70522,  28.87107,       333.70980,       28.86427,    263.42356,     +59.82460,     263.41031,      +59.82108,  3299717.69,  2036283.43,  5180696.41,      53.368721,       -2.538265,  106569.85,  214944.38,   10617.05,            12547.41,     0.83,  56282.30,           67449.75,     22.57,    -19.11,          28.38,  +2.34,  +0.68
  5,     UK001L,       0,  0.228332, 2459522.474401344080, 263.95986,  59.26322,              333.09642,  28.54870,       333.09769,       28.54683,    263.95986,     +59.26322,     263.95698,      +59.26227,  3300546.35,  2034387.48,  5179625.68,      53.365130,       -2.568708,  105537.48,  214934.97,   12946.80,            14877.16,  -393.64,  57816.07,           65786.70,      6.24,     -5.28,           7.85,  +2.98,  +1.32
  6,     UK001L,       0,  0.268696, 2459522.474401811138, 264.65962,  58.54340,              332.30464,  28.14474,       332.31290,       28.13271,    264.65962,     +58.54340,     264.63642,      +58.53735,  3301617.45,  2031936.85,  5178241.69,      53.360477,       -2.608015,  104204.08,  214959.16,   15958.16,            17888.52,  -111.10,  74604.96,           66137.85,     40.26,    -34.10,          50.63,  +3.06,  +1.40
  0,     UK003T,       0,  0.000000, 2459522.474398705177, 344.05614,  62.67725,              310.21563,  63.28000,       310.20956,       63.28269,    344.05614,     +62.67725,     344.06216,      +62.67460,  3295253.62,  2046497.04,  5186464.52,      53.387910,       -2.374469,  112142.56,  125007.06,       0.00,                3.16,   168.79,      0.00,           66211.26,     -2.04,      8.10,          13.78,  +1.89,  +1.41
  1,     UK003T,       0,  0.041052, 2459522.474399180152, 342.28979,  61.78406,              308.36305,  62.40814,       308.37017,       62.40507,    342.28979,     +61.78406,     342.28290,      +61.78710,  3296199.87,  2044332.05,  5185241.85,      53.383864,       -2.409183,  110959.71,  124643.33,    2660.35,             2657.19,    47.48,  64804.48,           66211.26,      2.39,     -9.51,          16.23,  +1.34,  +0.86
  2,     UK003T,       0,  0.082136, 2459522.474399656057, 340.53227,  60.85707,              306.60375,  61.46700,       306.58332,       61.47559,    340.53227,     +60.85707,     340.55284,      +60.84859,  3297171.04,  2042110.06,  5183986.99,      53.379699,       -2.444813,  109746.61,  124328.45,    5390.75,             5387.59,     0.38,  66458.95,           66211.26,     -6.90,     27.35,          46.80,  +0.99,  +0.52
  3,     UK003T,       0,  0.123248, 2459522.474400131498, 338.89825,  59.87016,              304.86794,  60.50879,       304.87228,       60.50701,    338.89825,     +59.87016,     338.89448,      +59.87192,  3298154.95,  2039858.91,  5182715.66,      53.375467,       -2.480915,  108518.51,  124070.29,    8156.99,             8153.82,   -12.77,  67285.36,           66211.26,      1.47,     -5.84,          10.01,  +0.94,  +0.47
  4,     UK003T,       0,  0.164420, 2459522.474400608335, 337.23314,  58.82164,              303.18184,  59.45586,       303.17139,       59.46006,    337.23314,     +58.82164,     337.24414,      +58.81748,  3299192.02,  2037486.14,  5181375.64,      53.370994,       -2.518965,  107225.08,  123864.72,   11072.67,            11069.50,   119.47,  70817.06,           67250.13,     -3.58,     14.19,          24.37,  +0.92,  +0.46
  5,     UK003T,       0,  0.205432, 2459522.474401082844, 335.90681,  57.89222,              301.78573,  58.54428,       301.79059,       58.54235,    335.90681,     +57.89222,     335.90287,      +57.89412,  3300081.67,  2035450.65,  5180226.10,      53.367145,       -2.551636,  106116.31,  123743.92,   13573.90,            13570.73,  -151.93,  60987.70,           66653.90,      1.68,     -6.67,          11.46,  +0.85,  +0.39
  6,     UK003T,       0,  0.246608, 2459522.474401559215, 334.43003,  56.79899,              300.26473,  57.45779,       300.27084,       57.45541,    334.43003,     +56.79899,     334.42503,      +56.80135,  3301117.20,  2033081.41,  5178888.08,      53.362652,       -2.589643,  104826.71,  123666.55,   16485.25,            16482.08,   -24.29,  70705.01,           66875.74,      2.14,     -8.49,          14.61,  +0.92,  +0.46
  7,     UK003T,       0,  0.287756, 2459522.474402035587, 333.06844,  55.72291,              298.87761,  56.38231,       298.87813,       56.38210,    333.06844,     +55.72291,     333.06912,      +55.72311,  3302123.19,  2030779.76,  5177588.23,      53.358274,       -2.626578,  103574.89,  123657.60,   19313.53,            19310.37,    22.17,  68734.41,           67123.23,      0.19,     -0.74,           1.28,  +1.33,  +0.87
  8,     UK003T,       0,  0.328816, 2459522.474402511027, 331.88880,  54.71045,              297.65020,  55.38032,       297.65933,       55.37686,    331.88880,     +54.71045,     331.88116,      +54.71388,  3303053.10,  2028652.16,  5176386.67,      53.354216,       -2.660738,  102418.58,  123707.68,   21927.94,            21924.78,  -139.29,  63672.98,           67008.91,      3.29,    -13.06,          22.45,  +1.67,  +1.21
  9,     UK003T,       0,  0.369772, 2459522.474402985070, 330.85437,  53.79070,              296.60848,  54.45689,       296.60852,       54.45687,    330.85437,     +53.79070,     330.85588,      +53.79071,  3303895.59,  2026724.57,  5175298.07,      53.350529,       -2.691707,  101371.68,  123801.60,   24296.58,            24293.41,  -539.50,  57833.68,           66452.29,      0.01,     -0.06,           0.10,  +2.49,  +2.03

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.