Orbital Analysis for matched events on 20210810_015640.163_UK

Summary for Event
-----------------
shower ID 26 NDA
Lg 350.07° Bg 8.34° Vg 40.11km/s
mass 0.00426g, abs. mag 2.5
Path Details
------------
start -1.53° 50.87° 93.53km
end   -1.54° 50.93° 87.18km

Orbit Details
-------------
Semimajor axis 1.71A.U., eccentricity 0.97, inclination 36.16°, Period 2.24Y, LA Sun 137.39°, last Perihelion 2019-06-17

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: 2459436.581020410173
Time: 2021-08-10 01:56:40.163439 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK0038
 Convergence angle = 49.26465 deg
 R.A. = 348.31154  Dec =  +4.67225 deg

Best intersection: Stations UK0001 and UK0038 with Qconv = 49.26 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3977467.51 +/- 80.46 m
 Y =   -961844.01 +/- 15.64 m
 Z =   4997240.57 +/- 36.54 m
 Vx =    40549.82 +/- 462.91 m/s
 Vy =    -8726.44 +/- 65.36 m/s
 Vz =     3450.69 +/- 245.73 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.983255e+03, -4.870550e+02, +2.627245e+03, +3.114746e+03, +3.282742e+03, +1.187909e+04
-4.870550e+02, +2.781055e+02, -7.857067e+01, +5.646969e+02, +1.761440e+03, +7.994445e+02
+2.627245e+03, -7.857067e+01, +1.481065e+03, +2.078638e+03, +1.382591e+03, +6.314003e+03
+3.114746e+03, +5.646969e+02, +2.078638e+03, +1.843730e+05, -3.299179e+04, +2.195414e+04
+3.282742e+03, +1.761440e+03, +1.382591e+03, -3.299179e+04, +3.497604e+04, +2.210854e+04
+1.187909e+04, +7.994445e+02, +6.314003e+03, +2.195414e+04, +2.210854e+04, +4.758823e+04

Timing offsets (from input data):
    UK0001: -0.000089 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:56:40.163439 UTC
  Lon     = +-1.534867 +/- 0.0003 deg
  Lat     = +50.872615 +/- 0.0004 deg
  Lat geo = +50.686825 +/- 0.0004 deg
  Ht      =   93574.63 +/- 74.96 m

  JD dynamic   = 2459436.581821151078 
  LST apparent = 346.4055340881 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 347.85501 +/- 0.2220 deg
  Dec       =  +4.75566 +/- 0.2878 deg
  Azimuth   = 177.99622 +/- 0.3176 deg
  Elevation = +43.86705 +/- 0.2829 deg
  Vavg      =  37.90493 +/- 0.2581 km/s
  Vinit     =  41.62146 +/- 0.4523 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 348.26699 +/- 0.2220 deg
  Dec       =  +4.75467 +/- 0.2878 deg
  Azimuth   = 177.42701 +/- 0.3176 deg
  Elevation = +43.85568 +/- 0.2829 deg
  Vavg      =  37.91352 +/- 0.2581 km/s
  Vinit     =  41.63005 +/- 0.4523 km/s
Radiant (geocentric, J2000):
  R.A.   = 347.59992 +/- 0.2252 deg
  Dec    =  +3.74082 +/- 0.2921 deg
  Vg     =  40.11138 +/- 0.4691 km/s
  Vinf   =  41.62146 +/- 0.4523 km/s
  Zc     =  45.94728 +/- 0.2828 deg
  Zg     =  46.84479 +/- 0.2872 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 350.06830 +/- 0.3053 deg
  Bg     =  +8.34250 +/- 0.2113 deg
  Vh     =  35.10300 +/- 0.3757 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 304.09173 +/- 0.5699 deg
  Bh     =  +9.54503 +/- 0.2747 deg
  Vh_x   = -19.40351 +/- 0.4550 km/s
  Vh_y   =  28.66778 +/- 0.2317 km/s
  Vh_z   =  -5.82087 +/- 0.1641 km/s
Orbit:
  La Sun = 137.386869 +/- 0.0000 deg
  a      =   1.712606 +/- 0.0804 AU
  e      =   0.966552 +/- 0.0025
  i      =  36.161938 +/- 1.7327 deg
  peri   = 336.867132 +/- 0.3222 deg
  node   = 137.392877 +/- 0.0003 deg
  Pi     = 114.260008 +/- 0.3221 deg
  q      =   0.057283 +/- 0.0019 AU
  f      = 203.127059 +/- 0.3221 deg
  M      = 345.174993 +/- 1.2724 deg
  Q      =   3.367930 +/- 0.1621 AU
  n      =   0.439762 +/- 0.0340 deg/day
  T      =   2.241233 +/- 0.1553 years
  Last perihelion JD = 2458651.668805 (2019-06-17 04:03:04.744871) +/- 56.9876 days
  Tj     =   3.276362 +/- 0.1582
Shower association:
  IAU No.  =   26
  IAU code =  NDA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.601422e-06, -4.121108e-06, -1.162460e-01, -7.158455e-09, +6.819918e-06, +4.760102e-05
q   , -4.121108e-06, +4.134217e-06, +6.525698e-02, +7.350366e-09, -1.081278e-05, -4.832585e-05
Tp  , -1.162460e-01, +6.525698e-02, +2.792290e+03, +1.173294e-04, -3.500539e-02, -7.916082e-01
node, -7.158455e-09, +7.350366e-09, +1.173294e-04, +2.389747e-11, -1.966739e-08, -1.581848e-07
peri, +6.819918e-06, -1.081278e-05, -3.500539e-02, -1.966739e-08, +3.877692e-05, +1.279190e-04
i   , +4.760102e-05, -4.832585e-05, -7.916082e-01, -1.581848e-07, +1.279190e-04, +1.048640e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.638111
 a2 = 23.656101

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 5.941e-06 s
  Stddev    = 2.44e-03 s

Begin point on the trajectory:
  Lon =    -1.534887 +/- 0.0003 deg
  Lat =    50.872984 +/- 0.0002 deg
  Ht  = 93534.56 +/- 52.98 m
End point on the trajectory:
  Lon =    -1.539137 +/- 0.0004 deg
  Lat =    50.931646 +/- 0.0002 deg
  Ht  = 87175.17 +/- 59.89 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   3.988869,  20.550944,    92956.93,    87734.71,          0.014619,     19.42,     12.67,              47.15, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210810_015637_310_0509696.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    93534.56,    87175.17,          0.013247,     26.91,      6.92,              30.05, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_015635_906_0502528.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,     UK0001,       0,  0.024402, 2459436.581020693295,   3.16378,  51.07812,               82.20548,  79.31465,        82.18744,       79.32689,      3.16378,     +51.07812,       3.14498,      +51.08261,  3976599.07,  -961657.12,  4997166.66,      50.878305,       -1.535284,   92956.93,   94544.38,       0.00,              891.40,   283.09,      0.00,           39070.63,     11.43,     17.55,          45.69,  +2.17,  +2.29
  1,     UK0001,       0,  0.064550, 2459436.581021158025,   3.47325,  51.64088,               79.12561,  79.16166,        79.12497,       79.16202,      3.47325,     +51.64088,       3.47295,      +51.64102,  3975323.60,  -961382.63,  4997058.12,      50.886665,       -1.535914,   92049.83,   93672.21,    1309.17,             2200.57,   -78.76,  32608.71,           39070.63,      0.34,      0.52,           1.37,  +1.85,  +1.99
  2,     UK0001,       0,  0.104790, 2459436.581021624152,   3.98701,  52.46852,               74.76299,  78.85606,        74.75550,       78.85955,      3.98701,     +52.46852,       3.98168,      +52.46989,  3973467.24,  -960983.14,  4996900.15,      50.898835,       -1.536756,   90729.84,   92422.27,    3214.59,             4105.99,   151.82,  47351.35,           39070.63,      3.32,      5.10,          13.59,  +1.75,  +1.92
  3,     UK0001,       0,  0.144978, 2459436.581022088882,   4.39889,  53.07845,               71.70464,  78.57994,        71.66245,       78.59738,      4.39889,     +53.07845,       4.36959,      +53.08559,  3972117.74,  -960692.72,  4996785.31,      50.907686,       -1.537414,   89770.41,   91527.18,    4599.76,             5491.16,  -135.70,  34467.26,           39070.63,     16.86,     25.88,          69.60,  +2.06,  +2.25
  4,     UK0001,       0,  0.185186, 2459436.581022554543,   4.87199,  53.87048,               67.91846,  78.22293,        67.93450,       78.21708,      4.87199,     +53.87048,       4.88331,      +53.86796,  3970434.87,  -960330.57,  4996642.11,      50.918726,       -1.538193,   88574.20,   90428.86,    6327.10,             7218.50,   -81.88,  42960.03,           39664.63,     -5.78,     -8.86,          24.14,  +2.12,  +2.34
  5,     UK0001,       0,  0.225330, 2459436.581023019273,   5.21698,  54.43762,               65.34275,  77.94079,        65.40869,       77.91847,      5.21698,     +54.43762,       5.25965,      +54.42766,  3969253.71,  -960076.38,  4996541.59,      50.926478,       -1.538791,   87734.71,   89669.13,    7539.48,             8430.88,  -540.35,  30200.80,           38484.27,    -22.45,    -34.37,          94.44,  +2.44,  +2.68
  6,     UK0001,       1,  0.265594, 2459436.581023484934,   5.80415,  55.01610,               62.95412,  77.50295,        62.76486,       77.56298,      5.80415,     +55.01610,       5.68845,      +55.04423,  3967971.89,  -959800.52,  4996432.51,      50.934892,       -1.539425,   86823.81,   88856.21,    8855.18,             9746.57,  -900.50,  32676.73,           37439.04,     61.41,     94.40,         261.42,  +6.33,  +6.59
  0,     UK0038,       0,  0.000000, 2459436.581020410173,  16.45084,  18.09175,              132.24942,  48.75608,       132.25329,       48.73551,     16.45084,     +18.09175,      16.45901,      +18.07254,  3977411.19,  -961831.89,  4997235.77,      50.872984,       -1.534887,   93534.56,  123525.53,       0.00,               57.82,   465.16,      0.00,           38924.73,     11.11,    -43.27,          74.60,  +3.59,  +3.13
  1,     UK0038,       0,  0.039992, 2459436.581020873040,  16.73778,  18.17548,              131.82666,  48.69609,       131.82546,       48.70216,     16.73778,     +18.17548,      16.73555,      +18.18116,  3976243.81,  -961580.67,  4997136.43,      50.880634,       -1.535477,   92704.26,  122493.89,    1198.23,             1256.04,    -1.14,  29961.72,           38924.73,     -3.26,     12.67,          22.03,  +2.45,  +2.01
  2,     UK0038,       0,  0.079960, 2459436.581021335442,  17.14985,  18.32453,              131.19981,  48.63316,       131.19648,       48.64898,     17.14985,     +18.32453,      17.14395,      +18.33936,  3974566.30,  -961219.66,  4996993.68,      50.891629,       -1.536253,   91511.31,  121019.36,    2920.07,             2977.88,    57.17,  43080.38,           38924.73,     -8.42,     32.66,          57.49,  +2.31,  +1.90
  3,     UK0038,       0,  0.119904, 2459436.581021797843,  17.55394,  18.50078,              130.56412,  48.59528,       130.56483,       48.59205,     17.55394,     +18.50078,      17.55571,      +18.49774,  3972917.97,  -960864.93,  4996853.41,      50.902437,       -1.537018,   90339.32,  119576.81,    4611.97,             4669.78,    86.54,  42356.80,           38924.73,      1.70,     -6.60,          11.75,  +3.20,  +2.81
  4,     UK0038,       0,  0.159872, 2459436.581022260711,  17.95021,  18.64412,              129.96456,  48.53039,       129.96355,       48.53471,     17.95021,     +18.64412,      17.94919,      +18.64818,  3971380.48,  -960534.06,  4996722.57,      50.912522,       -1.537744,   89246.33,  118236.82,    6190.09,             6247.90,     1.14,  39484.58,           39518.35,     -2.24,      8.72,          15.71,  +2.56,  +2.20
  5,     UK0038,       0,  0.199816, 2459436.581022722647,  18.29706,  18.79970,              129.41808,  48.49781,       129.42228,       48.48061,     18.29706,     +18.79970,      18.30462,      +18.78348,  3970020.98,  -960241.50,  4996606.88,      50.921442,       -1.538404,   88280.02,  117056.23,    7585.51,             7643.32,  -265.97,  34934.51,           39033.52,      8.85,    -34.49,          62.74,  +2.61,  +2.27
  6,     UK0038,       0,  0.239804, 2459436.581023185514,  18.72544,  18.92832,              128.79382,  48.40072,       128.79048,       48.41369,     18.72544,     +18.92832,      18.72140,      +18.94058,  3968466.31,  -959906.92,  4996474.59,      50.931646,       -1.539137,   87175.17,  115712.86,    9181.27,             9239.09,  -334.56,  39906.02,           38953.85,     -6.62,     25.73,          47.36,  +2.90,  +2.58

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.