Orbital Analysis for matched events on 20211103_033102.728_UK

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Summary for Event
-----------------
shower ID 337 NUE
Lg 118.91° Bg -11.70° Vg 65.93km/s
mass 0.01138g, abs. mag 0.1
best visual mag 0.5
Path Details
------------
start -4.14° 50.08° 108.42km
end   -4.24° 50.16° 97.52km

Orbit Details
-------------
Semimajor axis 2.73A.U., eccentricity 0.69, inclination 158.05°, Period 4.51Y, LA Sun 220.63°, last Perihelion 2017-06-03

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: 2459521.646559359971
Time: 2021-11-03 03:31:02.728702 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK0024
 Convergence angle = 9.57074 deg
 R.A. = 118.26279  Dec =  +9.32501 deg

Best intersection: Stations UK0021 and UK0024 with Qconv = 9.57 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    -90469.70 +/- 128.13 m
 Y =   4169532.80 +/- 380.03 m
 Z =   4951795.00 +/- 119.04 m
 Vx =   -31785.84 +/- 1211.96 m/s
 Vy =    57846.39 +/- 2423.03 m/s
 Vz =    10645.14 +/- 798.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.066466e+04, +2.981682e+04, +9.368121e+03, +7.534629e+04, +1.375030e+05, +5.103812e+04
+2.981682e+04, +8.776631e+04, +2.705553e+04, +2.243375e+05, +4.190215e+05, +1.497357e+05
+9.368121e+03, +2.705553e+04, +8.946936e+03, +6.536747e+04, +1.216426e+05, +4.756002e+04
+7.534629e+04, +2.243375e+05, +6.536747e+04, +9.131814e+05, +1.619359e+06, +5.196807e+05
+1.375030e+05, +4.190215e+05, +1.216426e+05, +1.619359e+06, +3.055763e+06, +9.542648e+05
+5.103812e+04, +1.497357e+05, +4.756002e+04, +5.196807e+05, +9.542648e+05, +3.364161e+05

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK0024: 0.001094 s

Reference point on the trajectory:
  Time: 2021-11-03 03:31:02.728702 UTC
  Lon     = +-4.135456 +/- 0.0019 deg
  Lat     = +50.081497 +/- 0.0019 deg
  Lat geo = +49.895156 +/- 0.0019 deg
  Ht      =  108407.57 +/- 331.97 m

  JD dynamic   = 2459521.647360100877 
  LST apparent = 91.2429974355 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 118.78822 +/- 1.9353 deg
  Dec       =  +9.16176 +/- 0.4660 deg
  Azimuth   = 141.26593 +/- 2.1508 deg
  Elevation = +43.14264 +/- 1.1858 deg
  Vavg      =  65.95427 +/- 1.6398 km/s
  Vinit     =  66.85703 +/- 1.6405 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 119.02179 +/- 1.9353 deg
  Dec       =  +9.14254 +/- 0.4660 deg
  Azimuth   = 140.98839 +/- 2.1508 deg
  Elevation = +43.03102 +/- 1.1858 deg
  Vavg      =  66.09367 +/- 1.6398 km/s
  Vinit     =  66.99642 +/- 1.6405 km/s
Radiant (geocentric, J2000):
  R.A.   = 118.63488 +/- 1.9541 deg
  Dec    =  +8.90498 +/- 0.4835 deg
  Vg     =  65.92972 +/- 1.6636 km/s
  Vinf   =  66.85703 +/- 1.6405 km/s
  Zc     =  46.71212 +/- 1.1901 deg
  Zg     =  47.05768 +/- 1.2171 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 118.91451 +/- 2.0249 deg
  Bg     = -11.70488 +/- 0.1699 deg
  Vh     =  38.25556 +/- 1.9906 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 108.42304 +/- 3.1390 deg
  Bh     = -20.46436 +/- 0.7508 deg
  Vh_x   =  11.32693 +/- 1.2218 km/s
  Vh_y   = -34.00435 +/- 2.5285 km/s
  Vh_z   =  13.37508 +/- 0.3098 km/s
Orbit:
  La Sun = 220.633093 +/- 0.0000 deg
  a      =   2.730631 +/- 4.7636 AU
  e      =   0.692783 +/- 0.1508
  i      = 158.046580 +/- 0.4168 deg
  peri   =  51.487116 +/- 1.1469 deg
  node   =  40.632430 +/- 0.0000 deg
  Pi     =  92.119546 +/- 1.1469 deg
  q      =   0.838897 +/- 0.0211 AU
  f      = 308.510321 +/- 1.1469 deg
  M      = 352.430313 +/- nan deg
  Q      =   4.622366 +/- 9.5336 AU
  n      =   0.218429 +/- 0.1343 deg/day
  T      =   4.512272 +/- nan years
  Last perihelion JD = 2457908.166476 (2017-06-03 15:59:43.544151) +/- 9309.5411 days
  Tj     =   0.936907 +/- 0.9367
Shower association:
  IAU No.  =  337
  IAU code =  NUE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.164554e-02, -1.701226e-03, -3.174318e+02, -2.532027e-06, -4.101486e-03, +2.140164e-02
q   , -1.701226e-03, +2.778538e-04, +4.366156e+01, +4.009906e-07, -4.599884e-03, -3.384444e-03
Tp  , -3.174318e+02, +4.366156e+01, +4.456030e+07, +6.615818e-02, -5.657109e+02, -5.511530e+02
node, -2.532027e-06, +4.009906e-07, +6.615818e-02, +1.691107e-09, -2.156523e-06, -1.427655e-05
peri, -4.101486e-03, -4.599884e-03, -5.657109e+02, -2.156523e-06, +1.149716e+00, +1.515601e-02
i   , +2.140164e-02, -3.384444e-03, -5.511530e+02, -1.427655e-05, +1.515601e-02, +1.205667e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.059666
 a2 = 34.192484

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 6.510e-07 s
  Stddev    = 8.07e-04 s

Begin point on the trajectory:
  Lon =    -4.135379 +/- 0.0019 deg
  Lat =    50.081435 +/- 0.0019 deg
  Ht  = 108415.97 +/- 331.74 m
End point on the trajectory:
  Lon =    -4.236777 +/- 0.0023 deg
  Lat =    50.161786 +/- 0.0018 deg
  Ht  = 97518.05 +/- 299.98 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.015329,  39.819174,   108415.97,    97518.05,          0.011009,     17.11,     18.50,              46.32, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20211103_033055_282_0911616.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.402292,  25.580878,   107748.70,    98594.89,          0.017015,     26.10,     39.86,              57.49, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20211103_033053_507_0917248.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,     UK0021,       0,  0.000000, 2459521.646559359971,  71.51744,  17.06346,              213.21332,  52.64247,       213.21614,       52.64781,     71.51744,     +17.06346,      71.51780,      +17.06905,   -90475.54,  4169543.43,  4951796.96,      50.081435,       -4.135379,  108415.97,  135707.59,       0.00,               12.28,     6.95,      0.00,           67056.85,     -9.75,     -9.01,          20.18,  +1.78,  +1.12
  1,     UK0021,       0,  0.040256, 2459521.646559826098,  70.63382,  17.14043,              214.54989,  52.40194,       214.53809,       52.38080,     70.63382,     +17.14043,      70.63266,      +17.11814,   -89187.18,  4167198.78,  4951365.49,      50.095072,       -4.152554,  106563.19,  133864.20,    2709.87,             2697.59,     0.86,  67315.92,           67056.85,     38.30,     35.44,          80.40,  +1.24,  +0.61
  2,     UK0021,       0,  0.080560, 2459521.646560292225,  69.71717,  17.16686,              215.88828,  52.09147,       215.88715,       52.08955,     69.71717,     +17.16686,      69.71740,      +17.16482,   -87891.62,  4164841.00,  4950931.60,      50.108791,       -4.169844,  104700.62,  132040.80,    5434.91,             5422.63,    31.29,  67612.19,           67056.85,      3.45,      3.19,           7.35,  +0.94,  +0.34
  3,     UK0021,       0,  0.120860, 2459521.646560758818,  68.79754,  17.20478,              217.22174,  51.77932,       217.22332,       51.78188,     68.79754,     +17.20478,      68.79818,      +17.20752,   -86625.96,  4162537.67,  4950507.73,      50.122198,       -4.186757,  102881.64,  130290.22,    8097.04,             8084.75,    -0.92,  66057.67,           67056.85,     -4.57,     -4.23,           9.86,  +0.62,  +0.05
  4,     UK0021,       0,  0.161168, 2459521.646561225411,  67.83531,  17.25388,              218.60557,  51.44959,       218.60188,       51.44391,     67.83531,     +17.25388,      67.83571,      +17.24775,   -85336.36,  4160190.75,  4950075.84,      50.135864,       -4.204006,  101028.82,  128538.83,   10809.53,            10797.25,    16.70,  67294.22,           67022.92,     10.10,      9.34,          22.07,  +0.47,  -0.08
  5,     UK0021,       0,  0.201496, 2459521.646561692003,  66.87890,  17.27385,              219.94374,  51.08417,       219.94954,       51.09272,     66.87890,     +17.27385,      66.88011,      +17.28313,   -84090.22,  4157922.92,  4949658.50,      50.149075,       -4.220699,   99238.99,  126878.95,   13430.62,            13418.34,   -58.42,  64994.26,           66723.16,    -15.11,    -13.96,          33.43,  +0.83,  +0.31
  6,     UK0021,       0,  0.241792, 2459521.646562158596,  65.93627,  17.32708,              221.26771,  50.74353,       221.25899,       50.73119,     65.93627,     +17.32708,      65.93682,      +17.31357,   -82891.67,  4155741.70,  4949257.11,      50.161786,       -4.236777,   97518.05,  125313.85,   15951.60,            15939.32,  -231.51,  62561.52,           66170.31,     21.70,     20.07,          48.66,  +2.44,  +1.95
  0,     UK0024,       0,  0.012959, 2459521.646559490357,  59.91619,   9.36202,              224.33111,  40.63240,       224.32720,       40.62757,     59.91619,      +9.36202,      59.91674,       +9.35636,   -90011.59,  4168699.10,  4951641.58,      50.086345,       -4.141548,  107748.70,  163531.21,       0.00,              963.56,    91.80,      0.00,           66569.61,     13.55,      8.88,          20.44,  +2.30,  +1.23
  1,     UK0024,       0,  0.053567, 2459521.646559960209,  59.13725,   9.25814,              225.17119,  40.19362,       225.19190,       40.21880,     59.13725,      +9.25814,      59.13476,       +9.28776,   -88788.31,  4166472.87,  4951231.90,      50.099296,       -4.157872,  105989.68,  162190.05,    2573.01,             3536.57,   -50.12,  63362.09,           66569.61,    -70.43,    -46.11,         107.05,  +2.13,  +1.08
  2,     UK0024,       0,  0.094203, 2459521.646560430527,  58.28219,   9.19809,              226.11496,  39.75444,       226.12402,       39.76528,     58.28219,      +9.19809,      58.28137,       +9.21092,   -87474.80,  4164082.45,  4950792.00,      50.113206,       -4.175406,  104101.51,  160783.06,    5335.79,             6299.35,    -4.14,  67988.51,           66569.61,    -30.24,    -19.81,          46.38,  +1.53,  +0.50
  3,     UK0024,       0,  0.134855, 2459521.646560900845,  57.41410,   9.12934,              227.05764,  39.29567,       227.05866,       39.29687,     57.41410,      +9.12934,      57.41452,       +9.13077,   -86162.84,  4161694.83,  4950352.63,      50.127106,       -4.192940,  102216.18,  159413.32,    8095.31,             9058.87,    37.51,  67881.68,           66569.61,     -3.34,     -2.19,           5.17,  +1.10,  +0.09
  4,     UK0024,       0,  0.175499, 2459521.646561371628,  56.58266,   9.03012,              227.93012,  38.82139,       227.94568,       38.83944,     56.58266,      +9.03012,      56.58126,       +9.05176,   -84922.09,  4159436.82,  4949937.10,      50.140256,       -4.209550,  100433.74,  158151.86,   10705.05,            11668.61,   -70.09,  64209.65,           66276.01,    -50.21,    -32.88,          78.28,  +1.38,  +0.38
  5,     UK0024,       0,  0.216159, 2459521.646561841946,  55.70846,   8.95356,              228.85376,  38.34169,       228.86343,       38.35274,     55.70846,      +8.95356,      55.70801,       +8.96690,   -83641.67,  4157106.62,  4949508.28,      50.153831,       -4.226705,   98594.89,  156884.89,   13398.23,            14361.79,   -95.32,  66236.44,           66186.49,    -30.71,    -20.12,          48.28,  +2.98,  +2.00

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.