Orbital Analysis for matched events on 20211103_030633.057_UK

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Summary for Event
-----------------
shower ID 337 NUE
Lg 109.46° Bg -2.62° Vg 66.26km/s
mass 0.00623g, abs. mag 0.7
best visual mag 1.8
Path Details
------------
start -2.74° 52.91° 109.46km
end   -2.81° 52.96° 99.40km

Orbit Details
-------------
Semimajor axis 4.86A.U., eccentricity 0.88, inclination 174.54°, Period 10.72Y, LA Sun 220.62°, last Perihelion 2011-03-27

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: 2459521.629549279809
Time: 2021-11-03 03:06:33.057775 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003X
 Convergence angle = 23.33161 deg
 R.A. = 111.13421  Dec = +20.23562 deg

Best intersection: Stations UK001L and UK003X with Qconv = 23.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    239449.81 +/- 69.40 m
 Y =   3913524.71 +/- 64.17 m
 Z =   5151733.30 +/- 169.03 m
 Vx =   -22540.94 +/- 552.07 m/s
 Vy =    59126.07 +/- 682.30 m/s
 Vz =    22580.87 +/- 1805.16 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.895803e+03, -3.582550e+03, +1.028740e+04, +5.788855e+04, -4.428586e+04, +9.558533e+04
-3.582550e+03, +4.254425e+03, -7.955240e+03, -2.363066e+04, +3.268311e+04, -4.735133e+04
+1.028740e+04, -7.955240e+03, +2.576363e+04, +9.813625e+04, -8.788032e+04, +2.224682e+05
+5.788855e+04, -2.363066e+04, +9.813625e+04, +7.790811e+05, -4.763670e+05, +1.318016e+06
-4.428586e+04, +3.268311e+04, -8.788032e+04, -4.763670e+05, +4.415680e+05, -9.069670e+05
+9.558533e+04, -4.735133e+04, +2.224682e+05, +1.318016e+06, -9.069670e+05, +2.880512e+06

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK003R: 0.000000 s
    UK003X: -0.000232 s

Reference point on the trajectory:
  Time: 2021-11-03 03:06:33.057775 UTC
  Lon     = +-2.739349 +/- 0.0011 deg
  Lat     = +52.908403 +/- 0.0013 deg
  Lat geo = +52.726230 +/- 0.0013 deg
  Ht      =  109429.91 +/- 110.41 m

  JD dynamic   = 2459521.630350020714 
  LST apparent = 86.4987108605 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 110.86861 +/- 0.4943 deg
  Dec       = +19.63930 +/- 1.5025 deg
  Azimuth   = 141.10055 +/- 0.5752 deg
  Elevation = +51.76641 +/- 1.5281 deg
  Vavg      =  64.58417 +/- 0.1081 km/s
  Vinit     =  67.18543 +/- 0.3708 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 111.10399 +/- 0.4943 deg
  Dec       = +19.60539 +/- 1.5025 deg
  Azimuth   = 140.79525 +/- 0.5752 deg
  Elevation = +51.64594 +/- 1.5281 deg
  Vavg      =  64.69580 +/- 0.1081 km/s
  Vinit     =  67.29706 +/- 0.3708 km/s
Radiant (geocentric, J2000):
  R.A.   = 110.66620 +/- 0.4626 deg
  Dec    = +19.43241 +/- 1.5085 deg
  Vg     =  66.26272 +/- 0.3759 km/s
  Vinf   =  67.18543 +/- 0.3708 km/s
  Zc     =  38.09196 +/- 1.5135 deg
  Zg     =  38.36549 +/- 1.5234 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 109.46110 +/- 0.6263 deg
  Bg     =  -2.62002 +/- 1.4425 deg
  Vh     =  40.07300 +/- 0.3275 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  93.11701 +/- 1.0367 deg
  Bh     =  -4.33478 +/- 2.3923 deg
  Vh_x   =   2.17274 +/- 0.7174 km/s
  Vh_y   = -39.89925 +/- 0.3659 km/s
  Vh_z   =   3.02888 +/- 1.7030 km/s
Orbit:
  La Sun = 220.616054 +/- 0.0000 deg
  a      =   4.860622 +/- 1.4062 AU
  e      =   0.876647 +/- 0.0176
  i      = 174.542844 +/- 2.8062 deg
  peri   =  81.190118 +/- 2.9774 deg
  node   =  40.608773 +/- 0.0023 deg
  Pi     = 121.798891 +/- 2.9756 deg
  q      =   0.599572 +/- 0.0221 AU
  f      = 278.800976 +/- 2.9791 deg
  M      = 356.271080 +/- 0.7204 deg
  Q      =   9.121671 +/- 2.8032 AU
  n      =   0.091974 +/- 0.0173 deg/day
  T      =  10.716139 +/- 5.6541 years
  Last perihelion JD = 2455648.035433 (2011-03-27 12:51:01.404839) +/- 2065.7882 days
  Tj     =   0.144959 +/- 0.1665
Shower association:
  IAU No.  =  337
  IAU code =  NUE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.611559e-04, +2.697249e-04, -5.123233e+01, +7.386247e-06, -4.590380e-02, -1.530083e-02
q   , +2.697249e-04, +6.778219e-04, -3.313092e+01, +5.233431e-05, -9.268313e-02, -6.744133e-02
Tp  , -5.123233e+01, -3.313092e+01, +5.844103e+06, -1.383817e+00, +5.493867e+03, +2.350793e+03
node, +7.386247e-06, +5.233431e-05, -1.383817e+00, +6.278397e-06, -6.780851e-03, -6.638861e-03
peri, -4.590380e-02, -9.268313e-02, +5.493867e+03, -6.780851e-03, +1.290409e+01, +8.911631e+00
i   , -1.530083e-02, -6.744133e-02, +2.350793e+03, -6.638861e-03, +8.911631e+00, +8.402127e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000038
 a2 = 83.235120

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 3.407e-07 s
  Stddev    = 5.84e-04 s

Begin point on the trajectory:
  Lon =    -2.739156 +/- 0.0010 deg
  Lat =    52.908259 +/- 0.0012 deg
  Ht  = 109456.58 +/- 109.13 m
End point on the trajectory:
  Lon =    -2.812944 +/- 0.0015 deg
  Lat =    52.962816 +/- 0.0016 deg
  Ht  = 99400.57 +/- 125.43 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,   0.000000,   0.000000,   109456.58,    99400.57,          0.017029,     54.96,      8.94,              93.69, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20211103_030629_141_0893696.fits"}
    UK003R,    True,    -2.379340,    51.361330,  169.00,  54.049519,   0.000000,   107900.94,   100856.82,          0.039009,       nan,       nan,              93.10, 0.0000,    True,    True, {"ff_name": "FF_UK003R_20211103_030628_604_0249856.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.001992,  64.024952,   109363.61,   100923.94,          0.021155,     55.11,     35.21,              88.12, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20211103_030624_806_0885760.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,  0.000000, 2459521.629549279809, 343.26971,  57.13967,              320.04399,  35.17621,       320.03321,       35.17600,    343.26971,     +57.13967,     343.28052,      +57.13308,   239438.42,  3913554.58,  5151744.71,      52.908259,       -2.739156,  109456.58,  186751.90,       0.00,               33.95,    65.33,      0.00,           67353.04,     -4.62,     28.37,          31.74,  +4.24,  +2.88
  1,     UK001L,       0,  0.040696, 2459521.629549751058, 342.21242,  56.58240,              320.03642,  34.37337,       320.05303,       34.37369,    342.21242,     +56.58240,     342.19573,      +56.59249,   240315.33,  3911254.39,  5150866.25,      52.919383,       -2.754177,  107403.65,  186853.41,    2613.73,             2579.78,  -123.02,  64225.62,           67353.04,      7.17,    -44.13,          49.35,  +2.17,  +0.81
  2,     UK001L,       0,  0.081468, 2459521.629550222773, 341.01750,  55.99759,              320.09275,  33.49044,       320.07476,       33.49009,    341.01750,     +55.99759,     341.03633,      +55.98672,   241282.56,  3908717.30,  5149897.31,      52.931658,       -2.770749,  105139.75,  187007.17,    5496.64,             5462.69,    20.61,  70708.24,           67353.04,     -7.87,     48.35,          54.03,  +1.76,  +0.40
  3,     UK001L,       0,  0.122188, 2459521.629550694022, 339.98337,  55.41696,              320.10032,  32.66791,       320.09438,       32.66780,    339.98337,     +55.41696,     339.99006,      +55.41338,   242184.20,  3906352.24,  5148994.06,      52.943106,       -2.786226,  103029.79,  187190.91,    8184.08,             8150.13,   -27.74,  65997.98,           67353.04,     -2.63,     16.15,          18.03,  +1.77,  +0.41
  4,     UK001L,       0,  0.162928, 2459521.629551165737, 338.97000,  54.79820,              320.08842,  31.82011,       320.11432,       31.82062,    338.97000,     +54.79820,     338.94354,      +54.81369,   243115.23,  3903910.12,  5148061.39,      52.954934,       -2.802222,  100851.51,  187420.82,   10959.08,            10925.13,    10.13,  68114.88,           67481.85,     11.52,    -71.08,          79.25,  +2.11,  +0.75
  5,     UK001L,       0,  0.203420, 2459521.629551634192, 338.23131,  54.42823,              320.15815,  31.25768,       320.12635,       31.25706,    338.23131,     +54.42823,     338.26570,      +54.40929,   243735.47,  3902283.20,  5147440.05,      52.962816,       -2.812944,   99400.57,  187598.76,   12807.76,            12773.81,  -861.66,  45655.51,           64420.05,    -14.32,     87.86,          97.88,  +4.06,  +2.69
  0,     UK003R,       1,  0.032932, 2459521.629549661186, 286.18838,  68.38721,              351.85635,  30.60782,       351.79241,       30.62601,    286.18838,     +68.38721,     286.34540,      +68.39159,   240102.90,  3911811.61,  5151079.06,      52.916687,       -2.750546,  107900.94,  206690.56,       0.00,             1946.60,  -234.55,      0.00,           72872.32,   -124.18,    168.16,         208.61,  +3.44,  +1.86
  1,     UK003R,       1,  0.073508, 2459521.629550130572, 286.37853,  67.63749,              351.56770,  29.89720,       351.51688,       29.91164,    286.37853,     +67.63749,     286.50035,      +67.64086,   241013.67,  3909422.61,  5150166.67,      52.928245,       -2.766154,  105769.06,  206800.20,    2714.64,             4661.25,  -246.02,  66902.72,           72872.32,    -99.35,    134.61,         166.87,  +2.38,  +0.80
  2,     UK003R,       1,  0.114076, 2459521.629550599959, 286.59672,  66.89672,              351.26832,  29.19862,       351.24814,       29.20435,    286.59672,     +66.89672,     286.64431,      +66.89802,   241915.81,  3907056.25,  5149262.93,      52.939698,       -2.781634,  103657.82,  206943.98,    5403.55,             7350.16,  -282.69,  66281.49,           72872.32,    -39.72,     53.87,          66.71,  +2.73,  +1.15
  3,     UK003R,       1,  0.154836, 2459521.629551071674, 286.78134,  65.91318,              350.91561,  28.26206,       350.89897,       28.26677,    286.78134,     +65.91318,     286.81961,      +65.91421,   243112.96,  3903916.07,  5148063.66,      52.954905,       -2.802149,  100856.82,  207188.16,    8971.77,            10918.38,   547.05,  87542.21,           72872.32,    -33.02,     44.80,          55.41,  +3.26,  +1.68
  0,     UK003X,       0,  0.000365, 2459521.629549286794, 298.45251,  73.87601,              349.45527,  37.37725,       349.44479,       37.37979,    298.45251,     +73.87601,     298.48364,      +73.87492,   239478.13,  3913450.43,  5151704.94,      52.908763,       -2.739830,  109363.61,  177405.23,       0.00,               84.40,    91.25,      0.00,           66864.29,    -14.54,     22.72,          31.37,  +4.32,  +3.08
  1,     UK003X,       0,  0.040921, 2459521.629549756180, 298.09045,  73.06782,              349.16407,  36.59643,       349.14485,       36.60108,    298.09045,     +73.06782,     298.14556,      +73.06590,   240323.93,  3911231.84,  5150857.63,      52.919492,       -2.754325,  107383.52,  177264.51,    2521.00,             2605.41,  -112.52,  62161.08,           66864.29,    -26.88,     41.99,          58.02,  +2.19,  +0.95
  2,     UK003X,       0,  0.081553, 2459521.629550226498, 297.73872,  72.14414,              348.83071,  35.70661,       348.81047,       35.71150,    297.73872,     +72.14414,     297.79464,      +72.14220,   241287.84,  3908703.45,  5149892.01,      52.931725,       -2.770840,  105127.39,  177147.64,    5394.03,             5478.44,    30.63,  70708.49,           66864.29,    -28.59,     44.67,          61.75,  +2.14,  +0.90
  3,     UK003X,       0,  0.122141, 2459521.629550696351, 297.49093,  71.27396,              348.50459,  34.87450,       348.50281,       34.87493,    297.49093,     +71.27396,     297.49616,      +71.27379,   242192.46,  3906330.59,  5148985.80,      52.943211,       -2.786367,  103010.47,  177080.54,    8090.33,             8174.73,     0.01,  66430.83,           66864.29,     -2.54,      3.97,           5.49,  +1.82,  +0.58
  4,     UK003X,       0,  0.162713, 2459521.629551165737, 297.34512,  70.41257,              348.15892,  34.06021,       348.20536,       34.04902,    297.34512,     +70.41257,     297.22693,      +70.41679,   243084.26,  3903991.34,  5148092.41,      52.954540,       -2.801695,  100923.94,  177054.71,   10748.44,            10832.85,   -67.73,  65515.99,           66679.62,     66.63,   -104.37,         144.25,  +2.11,  +0.87
  5,     UK003X,       1,  0.203157, 2459521.629551633727, 297.05302,  69.80421,              347.99415,  33.45920,       347.99534,       33.45892,    297.05302,     +69.80421,     297.05090,      +69.80432,   243720.79,  3902321.70,  5147454.76,      52.962630,       -2.812694,   99434.91,  177061.32,   12645.66,            12730.06,  -887.76,  46909.72,           63813.36,      1.72,     -2.68,           3.71,  +5.68,  +4.44

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.