Orbital Analysis for matched events on 20210810_235706.861_UK

Summary for Event
-----------------
shower ID 26 NDA
Lg 350.69° Bg 8.83° Vg 33.47km/s
mass 0.03405g, abs. mag 0.3
Path Details
------------
start -1.70° 51.76° 92.86km
end   -1.76° 51.80° 88.26km

Orbit Details
-------------
Semimajor axis 1.12A.U., eccentricity 0.91, inclination 23.77°, Period 1.19Y, LA Sun 138.27°, last Perihelion 2020-07-12

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: 2459437.497996080201
Time: 2021-08-10 23:57:06.861329 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK002W
 Convergence angle = 9.88230 deg
 R.A. = 348.43838  Dec =  +5.73218 deg

Best intersection: Stations UK000S and UK002W with Qconv = 9.88 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2947391.99 +/- 161.09 m
 Y =  -2724267.70 +/- 18.67 m
 Z =   5059175.05 +/- 331.83 m
 Vx =    34273.12 +/- 659.18 m/s
 Vy =    -7494.34 +/- 204.84 m/s
 Vz =     3619.08 +/- 2247.17 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.127989e+04, +1.578982e+02, +1.989108e+04, +2.573143e+04, +7.386910e+03, +1.100759e+05
+1.578982e+02, +2.450670e+02, +1.020733e+03, +2.747493e+02, +8.610852e+02, -4.602584e+02
+1.989108e+04, +1.020733e+03, +4.833880e+04, +6.358853e+04, +5.650357e+03, +2.275693e+05
+2.573143e+04, +2.747493e+02, +6.358853e+04, +1.185102e+05, -6.940012e+03, +3.221794e+05
+7.386910e+03, +8.610852e+02, +5.650357e+03, -6.940012e+03, +2.612069e+04, +7.015436e+04
+1.100759e+05, -4.602584e+02, +2.275693e+05, +3.221794e+05, +7.015436e+04, +1.513826e+06

Timing offsets (from input data):
    UK000S: 0.002129 s
    UK002W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 23:57:06.861329 UTC
  Lon     = +-1.702568 +/- 0.0016 deg
  Lat     = +51.758692 +/- 0.0011 deg
  Lat geo = +51.574145 +/- 0.0011 deg
  Ht      =   92828.30 +/- 327.32 m

  JD dynamic   = 2459437.498796821106 
  LST apparent = 317.2528663238 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 347.66555 +/- 0.4562 deg
  Dec       =  +5.88968 +/- 3.5895 deg
  Azimuth   = 140.47195 +/- 2.2807 deg
  Elevation = +37.70389 +/- 3.1312 deg
  Vavg      =  33.78040 +/- 0.5101 km/s
  Vinit     =  35.26910 +/- 0.5006 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 348.07602 +/- 0.4562 deg
  Dec       =  +5.86493 +/- 3.5895 deg
  Azimuth   = 140.01152 +/- 2.2807 deg
  Elevation = +37.51869 +/- 3.1312 deg
  Vavg      =  33.92868 +/- 0.5101 km/s
  Vinit     =  35.41738 +/- 0.5006 km/s
Radiant (geocentric, J2000):
  R.A.   = 347.97605 +/- 0.4405 deg
  Dec    =  +4.42807 +/- 3.7342 deg
  Vg     =  33.47337 +/- 0.5281 km/s
  Vinf   =  35.26910 +/- 0.5006 km/s
  Zc     =  52.15386 +/- 3.1265 deg
  Zg     =  53.61876 +/- 3.2695 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 350.69043 +/- 1.8625 deg
  Bg     =  +8.82690 +/- 3.2786 deg
  Vh     =  30.95725 +/- 0.5195 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 295.81510 +/- 1.4558 deg
  Bh     =  +9.55245 +/- 3.7843 deg
  Vh_x   = -13.29398 +/- 0.4218 km/s
  Vh_y   =  27.48143 +/- 1.0205 km/s
  Vh_z   =  -5.13737 +/- 1.9354 km/s
Orbit:
  La Sun = 138.266732 +/- nan deg
  a      =   1.119929 +/- 0.0462 AU
  e      =   0.912231 +/- 0.0040
  i      =  23.772444 +/- 9.3934 deg
  peri   = 333.234367 +/- 1.1911 deg
  node   = 138.275692 +/- 0.0175 deg
  Pi     = 111.510059 +/- 1.1758 deg
  q      =   0.098294 +/- 0.0057 AU
  f      = 206.756497 +/- 1.1761 deg
  M      = 327.958068 +/- 2.1708 deg
  Q      =   2.141564 +/- 0.0886 AU
  n      =   0.831608 +/- 0.0506 deg/day
  T      =   1.185186 +/- 0.0738 years
  Last perihelion JD = 2459043.132316 (2020-07-12 15:10:32.124352) +/- 27.1480 days
  Tj     =   4.994801 +/- 0.1640
Shower association:
  IAU No.  =   26
  IAU code =  NDA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.719134e-06, -9.096771e-06, -3.583970e-03, -1.328687e-07, +2.051886e-05, +1.459255e-04
q   , -9.096771e-06, +1.470307e-05, -2.882452e-02, +3.517107e-07, -4.495589e-05, -2.888836e-04
Tp  , -3.583970e-03, -2.882452e-02, +2.053859e+02, -1.270761e-03, +1.386872e-01, +7.726289e-01
node, -1.328687e-07, +3.517107e-07, -1.270761e-03, +1.563899e-08, -1.264032e-06, -8.723145e-06
peri, +2.051886e-05, -4.495589e-05, +1.386872e-01, -1.264032e-06, +1.547164e-04, +9.625333e-04
i   , +1.459255e-04, -2.888836e-04, +7.726289e-01, -8.723145e-06, +9.625333e-04, +9.037200e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000038
 a2 = 69.351557

Mean time residuals from time vs. length:
  Station with reference time: UK002W
  Avg. res. = 8.770e-07 s
  Stddev    = 9.36e-04 s

Begin point on the trajectory:
  Lon =    -1.702238 +/- 0.0015 deg
  Lat =    51.758443 +/- 0.0011 deg
  Ht  = 92856.42 +/- 320.08 m
End point on the trajectory:
  Lon =    -1.757257 +/- 0.0002 deg
  Lat =    51.799096 +/- 0.0016 deg
  Ht  = 88261.50 +/- 149.80 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    92438.40,    88261.50,          0.009273,     17.20,     14.10,              93.25, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_235702_011_0329984.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,    92856.42,    88734.84,          0.032435,     55.44,     31.32,              63.62, 1.0000,    True,    True, {"ff_name": "FF_UK002W_20210810_235705_975_0327168.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,     UK000S,       0,  0.026301, 2459437.497996228281, 124.04068,  80.80004,                2.79650,  41.86037,         2.78922,       41.86379,    124.04068,     +80.80004,     124.06982,      +80.80443,  2946772.47, -2724132.23,  5059109.63,      51.762138,       -1.707205,   92438.40,  137267.53,       0.00,              637.53,     3.82,      0.00,           34915.40,      9.72,     11.87,          23.05,  +2.11,  +1.42
  1,     UK000S,       0,  0.066745, 2459437.497996696271, 126.46534,  80.36832,                2.37487,  41.36615,         2.36785,       41.36943,    126.46534,     +80.36832,     126.49355,      +80.37239,  2945413.21, -2723835.01,  5058966.10,      51.769701,       -1.717435,   91583.09,  137293.61,    1398.76,             2036.28,   -23.85,  34584.98,           34915.40,      9.43,     11.51,          22.35,  +1.22,  +0.53
  2,     UK000S,       0,  0.107201, 2459437.497997164726, 128.82487,  79.91404,                1.92755,  40.86028,         1.93801,       40.85540,    128.82487,     +79.91404,     128.78374,      +79.90823,  2944003.54, -2723526.77,  5058817.24,      51.777546,       -1.728044,   90696.23,  137335.84,    2849.39,             3486.92,    -0.06,  35857.13,           34915.40,    -14.13,    -17.24,          33.48,  +1.17,  +0.48
  3,     UK000S,       0,  0.147637, 2459437.497997632716, 130.83330,  79.46465,                1.51967,  40.37526,         1.53683,       40.36728,    130.83330,     +79.46465,     130.76663,      +79.45550,  2942667.95, -2723234.72,  5058676.21,      51.784979,       -1.738111,   89856.16,  137390.07,    4223.79,             4861.32,   -51.80,  33989.52,           34915.40,    -23.30,    -28.42,          55.16,  +1.43,  +0.74
  4,     UK000S,       0,  0.188125, 2459437.497998101171, 132.76965,  78.94698,                1.09936,  39.83114,         1.10330,       39.82932,    132.76965,     +78.94698,     132.75518,      +78.94496,  2941198.96, -2722913.50,  5058521.09,      51.793156,       -1.749173,   88932.37,  137465.70,    5735.47,             6373.00,    31.91,  37336.56,           35338.96,     -5.37,     -6.56,          12.72,  +2.48,  +1.79
  5,     UK000S,       0,  0.228469, 2459437.497998568229, 134.13568,  78.57266,                0.77999,  39.44320,         0.79124,       39.43800,    134.13568,     +78.57266,     134.09387,      +78.56708,  2940131.97, -2722680.19,  5058408.43,      51.799096,       -1.757257,   88261.50,  137531.06,    6833.47,             7471.00,  -292.99,  27215.78,           34302.73,    -15.42,    -18.80,          36.46,  +2.99,  +2.30
  0,     UK002W,       0,  0.000000, 2459437.497996080201,  20.24603,  62.12470,               47.06930,  55.08927,        47.01322,       55.15626,     20.24603,     +62.12470,      20.12010,      +62.17006,  2947436.67, -2724277.47,  5059179.77,      51.758443,       -1.702238,   92856.42,  112691.41,       0.00,               45.98,   339.87,      0.00,           33454.71,     71.83,    127.20,         267.39,  +2.38,  +2.12
  1,     UK002W,       0,  0.039908, 2459437.497996542137,  20.82573,  62.57577,               46.20217,  54.92036,        46.19117,       54.93319,     20.82573,     +62.57577,      20.80142,      +62.58461,  2946309.63, -2724031.03,  5059060.76,      51.764713,       -1.710744,   92147.14,  112131.47,    1159.79,             1113.81,     0.18,  29061.66,           33454.71,     13.80,     24.36,          51.50,  +1.14,  +0.89
  2,     UK002W,       0,  0.079856, 2459437.497997004539,  21.69567,  63.08492,               45.19608,  54.63693,        45.18617,       54.64816,     21.69567,     +63.08492,      21.67427,      +63.09285,  2944927.35, -2723728.77,  5058914.79,      51.772405,       -1.721144,   91277.40,  111458.60,    2582.24,             2536.26,    13.70,  35607.49,           33454.71,     12.09,     21.35,          45.40,  +1.05,  +0.81
  3,     UK002W,       0,  0.119796, 2459437.497997466475,  22.56540,  63.59474,               44.19860,  54.36006,        44.20149,       54.35687,     22.56540,     +63.59474,      22.57209,      +63.59243,  2943570.01, -2723431.97,  5058771.47,      51.779958,       -1.731365,   90423.53,  110811.72,    3979.03,             3933.05,     1.84,  34972.22,           33454.71,     -3.44,     -6.07,          12.99,  +1.01,  +0.79
  4,     UK002W,       0,  0.159772, 2459437.497997929342,  23.48922,  64.04949,               43.29392,  54.05519,        43.27764,       54.07272,     23.48922,     +64.04949,      23.45515,      +64.06247,  2942293.56, -2723152.85,  5058636.68,      51.787063,       -1.740993,   89620.70,  110215.91,    5292.57,             5246.59,   -94.54,  32858.18,           33558.78,     18.94,     33.42,          71.89,  +1.73,  +1.52
  5,     UK002W,       0,  0.199712, 2459437.497998391744,  24.48394,  64.57705,               42.26601,  53.74311,        42.26231,       53.74699,     24.48394,     +64.57705,      24.47693,      +64.58000,  2940884.82, -2722844.81,  5058487.92,      51.794905,       -1.751608,   88734.84,  109573.52,    6742.25,             6696.27,   -53.50,  36296.45,           33979.57,      4.21,      7.42,          16.06,  +2.35,  +2.15

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.