Orbital Analysis for matched events on 20210929_030612.296_UK

Summary for Event
-----------------
shower ID 337 NUE
Lg 84.73° Bg -15.00° Vg 68.41km/s
mass 0.01192g, abs. mag -0.2
Path Details
------------
start 0.89° 50.73° 113.70km
end   0.77° 50.82° 102.47km

Orbit Details
-------------
Semimajor axis 18.13A.U., eccentricity 0.95, inclination 153.24°, Period 77.18Y, LA Sun 185.90°, last Perihelion 1944-08-18

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: 2459486.629308981821
Time: 2021-09-29 03:06:12.296029 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002N
 Convergence angle = 25.11404 deg
 R.A. =  84.14809  Dec =  +8.25294 deg

Best intersection: Stations UK002C and UK002N with Qconv = 25.11 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2329624.14 +/- 69.10 m
 Y =   3394789.98 +/- 501.32 m
 Z =   5002601.27 +/- 135.93 m
 Vx =     5961.52 +/- 896.53 m/s
 Vy =    68256.68 +/- 1984.85 m/s
 Vz =    10439.27 +/- 644.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.058264e+03, -3.062262e+04, -8.838233e+03, +2.692869e+04, -8.495856e+04, -3.395099e+04
-3.062262e+04, +2.422994e+05, +6.777540e+04, -1.706813e+05, +6.655707e+05, +2.574609e+05
-8.838233e+03, +6.777540e+04, +2.026176e+04, -4.401915e+04, +1.601986e+05, +7.426032e+04
+2.692869e+04, -1.706813e+05, -4.401915e+04, +2.099298e+05, -7.417961e+05, -2.158998e+05
-8.495856e+04, +6.655707e+05, +1.601986e+05, -7.417961e+05, +3.360193e+06, +8.684068e+05
-3.395099e+04, +2.574609e+05, +7.426032e+04, -2.158998e+05, +8.684068e+05, +3.224348e+05

Timing offsets (from input data):
    UK002C: 0.002742 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 03:06:12.296029 UTC
  Lon     = ++0.886823 +/- 0.0047 deg
  Lat     = +50.730276 +/- 0.0019 deg
  Lat geo = +50.544874 +/- 0.0019 deg
  Ht      =  113617.80 +/- 342.59 m

  JD dynamic   = 2459486.630109722726 
  LST apparent = 55.5407176855 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  85.00847 +/- 0.6086 deg
  Dec       =  +8.66303 +/- 0.2925 deg
  Azimuth   = 139.57853 +/- 0.8402 deg
  Elevation = +41.40730 +/- 0.2129 deg
  Vavg      =  70.64797 +/- 1.8793 km/s
  Vinit     =  69.30723 +/- 1.9568 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  85.22659 +/- 0.6086 deg
  Dec       =  +8.64462 +/- 0.2925 deg
  Azimuth   = 139.32754 +/- 0.8402 deg
  Elevation = +41.30080 +/- 0.2129 deg
  Vavg      =  70.79448 +/- 1.8793 km/s
  Vinit     =  69.45374 +/- 1.9568 km/s
Radiant (geocentric, J2000):
  R.A.   =  84.85338 +/- 0.6026 deg
  Dec    =  +8.34856 +/- 0.3077 deg
  Vg     =  68.41383 +/- 1.9846 km/s
  Vinf   =  69.30723 +/- 1.9568 km/s
  Zc     =  48.45167 +/- 0.2131 deg
  Zg     =  48.78615 +/- 0.2092 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  84.72806 +/- 0.6285 deg
  Bg     = -14.99500 +/- 0.2911 deg
  Vh     =  41.49825 +/- 1.7618 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  75.16694 +/- 1.7244 deg
  Bh     = -25.24528 +/- 0.8387 deg
  Vh_x   =  -9.60903 +/- 0.4946 km/s
  Vh_y   = -36.28395 +/- 2.0279 km/s
  Vh_z   =  17.69877 +/- 0.4208 km/s
Orbit:
  La Sun = 185.903116 +/- 0.0000 deg
  a      =  18.127899 +/- 10.4475 AU
  e      =   0.950553 +/- 0.1235
  i      = 153.242684 +/- 1.1660 deg
  peri   =  38.370798 +/- 8.3051 deg
  node   =   5.906258 +/- 0.0001 deg
  Pi     =  44.277056 +/- 8.3050 deg
  q      =   0.896374 +/- 0.0334 AU
  f      = 321.630657 +/- 8.3051 deg
  M      = 359.674123 +/- nan deg
  Q      =  35.359424 +/- 20.8994 AU
  n      =   0.012770 +/- 0.1147 deg/day
  T      =  77.183032 +/- 249443822.0542 years
  Last perihelion JD = 2431320.555863 (1944-08-18 01:20:26.603191) +/- 6928.6380 days
  Tj     =  -0.748025 +/- 0.8685
Shower association:
  IAU No.  =  337
  IAU code =  NUE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.287783e-02, +3.443827e-03, -7.074176e+02, +1.038501e-07, -1.513459e-02, +2.101773e-03
q   , +3.443827e-03, +1.002044e-03, -1.661839e+02, +2.815459e-08, -4.345070e-03, +5.738969e-04
Tp  , -7.074176e+02, -1.661839e+02, +7.215621e+07, -6.720091e-03, +7.333737e+02, -1.314825e+02
node, +1.038501e-07, +2.815459e-08, -6.720091e-03, +1.020330e-12, -1.229115e-07, +2.044952e-08
peri, -1.513459e-02, -4.345070e-03, +7.333737e+02, -1.229115e-07, +1.889091e-02, -2.504393e-03
i   , +2.101773e-03, +5.738969e-04, -1.314825e+02, +2.044952e-08, -2.504393e-03, +4.105871e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 45.484481
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002N
  Avg. res. = 7.724e-06 s
  Stddev    = 2.78e-03 s

Begin point on the trajectory:
  Lon =     0.887664 +/- 0.0042 deg
  Lat =    50.729650 +/- 0.0015 deg
  Ht  = 113699.91 +/- 296.64 m
End point on the trajectory:
  Lon =     0.771257 +/- 0.0028 deg
  Lat =    50.815432 +/- 0.0009 deg
  Ht  = 102472.79 +/- 148.75 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
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   110891.76,   103419.38,          0.015470,     42.52,     44.21,              26.53, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210929_030606_563_0781824.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.029327,  36.373028,   113699.91,   102472.79,          0.012608,     11.67,     33.01,              17.07, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210929_030606_875_0788736.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,     UK002C,       0,  0.051830, 2459486.629309549462, 111.22092,  11.00868,              108.69384,  28.07620,       108.67522,       28.10034,    111.22092,     +11.00868,     111.21966,      +11.03785,  2329269.53,  3390729.83,  5001980.31,      50.751072,       +0.858694,  110891.76,  228510.48,       0.00,             4122.64,   126.71,      0.00,           67416.87,    -83.92,    -80.75,         105.12,  +3.49,  +1.70
  1,     UK002C,       0,  0.091978, 2459486.629310014192, 111.51943,  11.03899,              108.40846,  27.92363,       108.39947,       27.93525,    111.51943,     +11.03899,     111.51911,      +11.05305,  2329039.85,  3388100.15,  5001578.12,      50.764546,       +0.840414,  109126.92,  226102.23,    2670.16,             6792.80,    14.32,  66507.88,           67416.87,    -40.05,    -38.48,          50.67,  +2.13,  +0.36
  2,     UK002C,       0,  0.132122, 2459486.629310478922, 111.81595,  11.06801,              108.12638,  27.77090,       108.12647,       27.77078,    111.81595,     +11.06801,     111.81650,      +11.06787,  2328816.48,  3385542.68,  5001186.98,      50.777655,       +0.822612,  107411.13,  223765.68,    5266.99,             9389.63,  -171.12,  64687.90,           67416.87,      0.39,      0.37,           0.49,  +2.06,  +0.31
  3,     UK002C,       0,  0.172310, 2459486.629310943652, 112.15511,  11.07294,              107.82385,  27.57335,       107.81654,       27.58273,    112.15511,     +11.07294,     112.15527,      +11.08434,  2328567.74,  3382694.65,  5000751.40,      50.792258,       +0.802784,  105501.07,  221171.79,    8158.85,            12281.49,   -64.58,  71958.32,           67416.87,    -31.75,    -30.50,          41.05,  +1.56,  -0.16
  4,     UK002C,       0,  0.212494, 2459486.629311408848, 112.53292,  11.10621,              107.46885,  27.37494,       107.47140,       27.37168,    112.53292,     +11.10621,     112.53398,      +11.10224,  2328296.53,  3379589.47,  5000276.49,      50.808186,       +0.781154,  103419.38,  218353.29,   11311.82,            15434.46,   303.35,  78463.39,           69991.06,     10.92,     10.48,          14.30,  +2.09,  +0.39
  5,     UK002C,       1,  0.252638, 2459486.629311873578, 112.86489,  11.17006,              107.13408,  27.22770,       107.16769,       27.18468,    112.86489,     +11.17006,     112.86842,      +11.11773,  2328062.57,  3376910.78,  4999866.81,      50.821931,       +0.762449,  101624.27,  215928.12,   14031.74,            18154.38,   241.00,  67754.00,           70406.72,    142.69,    136.42,         188.57,  +5.43,  +3.76
  0,     UK002N,       0,  0.000000, 2459486.629308981821,  98.84186,  17.11242,              116.99773,  40.77001,       116.99697,       40.77618,     98.84186,     +17.11242,      98.83858,      +17.11777,  2329634.82,  3394912.24,  5002619.97,      50.729650,       +0.887664,  113699.91,  172003.64,       0.00,              124.14,  -279.60,      0.00,           74910.91,    -17.54,     -6.21,          22.32,  +3.43,  +2.25
  1,     UK002N,       0,  0.039952, 2459486.629309444223,  99.07374,  17.24534,              116.65785,  40.74837,       116.65713,       40.75401,     99.07374,     +17.24534,      99.07092,      +17.25023,  2329393.18,  3392145.58,  5002196.84,      50.743819,       +0.868474,  111842.15,  169295.73,    2809.25,             2685.10,  -487.60,  70315.52,           74910.91,    -15.77,     -5.58,          20.38,  +2.34,  +1.20
  2,     UK002N,       0,  0.079888, 2459486.629309906624,  99.34629,  17.41227,              116.25051,  40.73085,       116.25118,       40.72585,     99.34629,     +17.41227,      99.34928,      +17.40793,  2329114.37,  3388953.36,  5001708.61,      50.760174,       +0.846332,  109699.47,  166176.94,    6050.60,             5926.45,   -14.11,  81163.62,           74910.91,     13.74,      4.85,          18.09,  +1.97,  +0.87
  3,     UK002N,       0,  0.119832, 2459486.629310368560,  99.59581,  17.56065,              115.88145,  40.71047,       115.88299,       40.69933,     99.59581,     +17.56065,      99.60222,      +17.55097,  2328869.83,  3386153.54,  5001280.41,      50.774524,       +0.826866,  107820.90,  163444.66,    8893.51,             8769.36,    60.40,  71172.41,           74910.91,     30.13,     10.63,          40.32,  +1.65,  +0.58
  4,     UK002N,       0,  0.159776, 2459486.629310830962,  99.84972,  17.70822,              115.50898,  40.68627,       115.51111,       40.67139,     99.84972,     +17.70822,      99.85828,      +17.69528,  2328630.64,  3383414.92,  5000861.56,      50.788564,       +0.807799,  105984.06,  160775.83,   11674.28,            11550.14,    72.76,  69616.82,           73686.63,     39.61,     13.95,          53.88,  +1.63,  +0.60
  5,     UK002N,       0,  0.199732, 2459486.629311293364, 100.09520,  17.84131,              115.15681,  40.65450,       115.15838,       40.64395,    100.09520,     +17.84131,     100.10163,      +17.83212,  2328410.57,  3380895.21,  5000476.19,      50.801487,       +0.790224,  104294.63,  158323.27,   14232.77,            14108.62,  -137.99,  64032.58,           71957.21,     27.69,      9.76,          38.25,  +1.44,  +0.44
  6,     UK002N,       0,  0.239708, 2459486.629311756231, 100.38474,  17.96371,              114.76923,  40.58852,       114.76557,       40.61191,    100.38474,     +17.96371,     100.37340,      +17.98413,  2328173.17,  3378177.10,  5000060.48,      50.815432,       +0.771257,  102472.79,  155682.26,   16992.72,            16868.57,  -148.66,  69040.21,           71026.82,    -60.33,    -21.37,          84.79,  +2.04,  +1.08
  7,     UK002N,       1,  0.279644, 2459486.629312218633, 100.58925,  18.10669,              114.45142,  40.58674,       114.45156,       40.58585,    100.58925,     +18.10669,     100.59088,      +18.10591,  2327988.53,  3376063.02,  4999737.15,      50.826282,       +0.756453,  101056.24,  153629.38,   19139.33,            19015.19,  -769.91,  53751.28,           69200.11,      2.25,      0.79,           3.21,  +6.20,  +5.27

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.