Orbital Analysis for matched events on 20210810_020418.019_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 45.31° Bg 50.97° Vg 50.61km/s
mass 0.01268g, abs. mag 0.0
Path Details
------------
start -0.55° 50.62° 106.53km
end   -0.57° 50.60° 98.52km

Orbit Details
-------------
Semimajor axis 4.51A.U., eccentricity 0.78, inclination 93.57°, Period 9.59Y, LA Sun 137.39°, last Perihelion 2012-01-09

Full details below
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Detailed report below graphs

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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: 2459436.586319669150
Time: 2021-08-10 02:04:18.019415 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK002B
 Convergence angle = 12.78979 deg
 R.A. =  12.44187  Dec = +63.24635 deg

Best intersection: Stations UK0001 and UK002B with Qconv = 12.79 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4051098.31 +/- 338.87 m
 Y =   -765325.46 +/- 193.28 m
 Z =   4989031.35 +/- 298.83 m
 Vx =    22948.05 +/- 2503.32 m/s
 Vy =     5248.78 +/- 1574.23 m/s
 Vz =    46152.70 +/- 3253.29 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.527129e+04, +3.642577e+04, +5.391919e+04, +2.517313e+05, +1.572249e+05, +1.605093e+05
+3.642577e+04, +2.155948e+04, +2.941981e+04, +1.403590e+05, +9.273129e+04, +9.522928e+04
+5.391919e+04, +2.941981e+04, +4.711985e+04, +1.842655e+05, +1.184590e+05, +1.117174e+05
+2.517313e+05, +1.403590e+05, +1.842655e+05, +4.026898e+06, +2.557204e+06, +2.053820e+06
+1.572249e+05, +9.273129e+04, +1.184590e+05, +2.557204e+06, +1.704969e+06, +1.278608e+06
+1.605093e+05, +9.522928e+04, +1.117174e+05, +2.053820e+06, +1.278608e+06, +1.337828e+06

Timing offsets (from input data):
    UK0001: 0.001342 s
    UK002B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:04:18.019415 UTC
  Lon     = +-0.551479 +/- 0.0035 deg
  Lat     = +50.616643 +/- 0.0005 deg
  Lat geo = +50.430895 +/- 0.0005 deg
  Ht      =  106609.55 +/- 418.43 m

  JD dynamic   = 2459436.587120410055 
  LST apparent = 349.3018778997 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  12.88334 +/- 2.3499 deg
  Dec       = +62.97567 +/- 1.9333 deg
  Azimuth   =  36.75648 +/- 7.3974 deg
  Elevation = +72.31675 +/- 0.3329 deg
  Vavg      =  49.92837 +/- 2.9611 km/s
  Vinit     =  51.80960 +/- 2.7271 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  13.55051 +/- 2.3499 deg
  Dec       = +62.85574 +/- 1.9333 deg
  Azimuth   =  37.62343 +/- 7.3974 deg
  Elevation = +72.12548 +/- 0.3329 deg
  Vavg      =  49.98386 +/- 2.9611 km/s
  Vinit     =  51.86509 +/- 2.7271 km/s
Radiant (geocentric, J2000):
  R.A.   =  12.94108 +/- 2.3234 deg
  Dec    = +62.97506 +/- 1.9696 deg
  Vg     =  50.60694 +/- 2.7882 km/s
  Vinf   =  51.80960 +/- 2.7271 km/s
  Zc     =  17.83241 +/- 0.3351 deg
  Zg     =  18.04352 +/- 0.3423 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  45.31171 +/- 0.6927 deg
  Bg     = +50.97186 +/- 2.2061 deg
  Vh     =  39.41745 +/- 1.3552 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  16.97000 +/- 35.5969 deg
  Bh     = +85.85674 +/- 3.5266 deg
  Vh_x   =  -2.72393 +/- 2.5545 km/s
  Vh_y   =  -0.83123 +/- 2.0771 km/s
  Vh_z   = -39.31443 +/- 1.0050 km/s
Orbit:
  La Sun = 137.391953 +/- 0.0000 deg
  a      =   4.514970 +/- 4.7308 AU
  e      =   0.775818 +/- 0.1252
  i      =  93.574370 +/- 4.4888 deg
  peri   = 184.804080 +/- 1.3763 deg
  node   = 137.393127 +/- 0.0003 deg
  Pi     = 322.197207 +/- 1.3762 deg
  q      =   1.012174 +/- 0.0013 AU
  f      = 355.192518 +/- 1.3764 deg
  M      = 359.616677 +/- nan deg
  Q      =   8.017765 +/- 9.4615 AU
  n      =   0.102736 +/- 0.0537 deg/day
  T      =   9.593628 +/- 253395487.2252 years
  Last perihelion JD = 2455936.184583 (2012-01-09 16:25:47.980607) +/- 6627.5342 days
  Tj     =   1.079392 +/- 0.7320
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.869428e-03, -3.874919e-05, -3.480465e+02, -2.263095e-07, +5.761693e-04, +3.791031e-03
q   , -3.874919e-05, +1.606210e-06, +2.206498e+00, +3.749789e-09, -3.044214e-05, -6.286151e-05
Tp  , -3.480465e+02, +2.206498e+00, +3.961661e+07, +1.270362e-02, -2.956488e+01, -2.119805e+02
node, -2.263095e-07, +3.749789e-09, +1.270362e-02, +1.454432e-11, -6.694860e-08, -2.438992e-07
peri, +5.761693e-04, -3.044214e-05, -2.956488e+01, -6.694860e-08, +5.996495e-04, +1.123066e-03
i   , +3.791031e-03, -6.286151e-05, -2.119805e+02, -2.438992e-07, +1.123066e-03, +4.090135e-03

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

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 6.482e-06 s
  Stddev    = 2.55e-03 s

Begin point on the trajectory:
  Lon =    -0.551696 +/- 0.0033 deg
  Lat =    50.616458 +/- 0.0005 deg
  Ht  = 106527.85 +/- 364.79 m
End point on the trajectory:
  Lon =    -0.573684 +/- 0.0034 deg
  Lat =    50.598340 +/- 0.0009 deg
  Ht  = 98516.54 +/- 296.64 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,   0.000000,   0.000000,   106185.78,    98516.54,          0.014880,      9.30,     33.69,              37.36, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210810_020418_102_0521216.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   106527.85,    98893.37,          0.032515,      4.55,     69.34,              29.66, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210810_020416_673_0524288.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,  0.009423, 2459436.586319820024,  33.36790,  27.66294,              106.81017,  48.88512,       106.79503,       48.87983,     33.36790,     +27.66294,      33.38020,      +27.66586,  4050901.30,  -765370.52,  4988635.13,      50.615686,       -0.552658,  106185.78,  140053.69,       0.00,              444.79,   201.37,      0.00,           50605.97,     26.57,     -7.32,          40.59,  +3.81,  +3.08
  1,     UK0001,       0,  0.049663, 2459436.586320285685,  33.51127,  27.20567,              107.13999,  48.46340,       107.13475,       48.46157,     33.51127,     +27.20567,      33.51570,      +27.20669,  4050066.76,  -765561.40,  4986956.72,      50.611630,       -0.557587,  104390.69,  138561.46,    1884.13,             2328.92,     0.69,  46822.29,           50605.97,      9.16,     -2.52,          14.14,  +1.63,  +0.92
  2,     UK0001,       0,  0.089955, 2459436.586320752278,  33.68119,  26.63757,              107.54846,  47.94227,       107.54705,       47.94178,     33.68119,     +26.63757,      33.68268,      +26.63785,  4049058.05,  -765792.11,  4984928.03,      50.606724,       -0.563512,  102221.03,  136772.36,    4161.47,             4606.26,   190.52,  56521.02,           50605.97,      2.46,     -0.68,           3.84,  +1.41,  +0.73
  3,     UK0001,       0,  0.130203, 2459436.586321217939,  33.82423,  26.16021,              107.88369,  47.50245,       107.88800,       47.50395,     33.82423,     +26.16021,      33.82120,      +26.15937,  4048229.24,  -765981.68,  4983261.13,      50.602691,       -0.568412,  100438.34,  135312.00,    6032.68,             6477.47,   -23.50,  46492.00,           50605.97,     -7.46,      2.05,          11.79,  +1.44,  +0.78
  4,     UK0001,       0,  0.170491, 2459436.586321684066,  34.00533,  25.63950,              108.21676,  47.00589,       108.25714,       47.01984,     34.00533,     +25.63950,      33.97290,      +25.63161,  4047335.73,  -766186.05,  4981464.13,      50.598340,       -0.573684,   98516.54,  133749.78,    8049.94,             8494.74,   -93.55,  50071.02,           50284.90,    -69.45,     19.18,         111.11,  +4.59,  +3.96
  0,     UK002B,       0,  0.000000, 2459436.586319669150,  23.24373,  33.61045,              110.82692,  59.47021,       110.72018,       59.43105,     23.24373,     +33.61045,      23.32295,      +33.62133,  4051060.33,  -765334.14,  4988954.96,      50.616458,       -0.551696,  106527.85,  123344.71,       0.00,               85.75,   330.52,      0.00,           48728.71,    143.73,     -9.41,         240.87,  +4.91,  +4.45
  1,     UK002B,       0,  0.040192, 2459436.586320134345,  23.40592,  33.17592,              111.23996,  59.06696,       111.23941,       59.06676,     23.40592,     +33.17592,      23.40644,      +33.17597,  4050209.63,  -765528.72,  4987244.05,      50.612324,       -0.556717,  104698.00,  121680.85,    1920.61,             2006.37,   168.81,  47785.98,           48728.71,      0.73,     -0.05,           1.25,  +2.18,  +1.75
  2,     UK002B,       0,  0.080328, 2459436.586320599075,  23.48170,  32.73805,              111.74589,  58.70999,       111.73867,       58.70737,     23.48170,     +32.73805,      23.48735,      +32.73880,  4049396.50,  -765714.70,  4985608.71,      50.608371,       -0.561525,  102949.01,  120097.46,    3756.40,             3842.15,   -74.84,  45739.07,           48728.71,      9.56,     -0.64,          16.46,  +0.94,  +0.54
  3,     UK002B,       0,  0.120488, 2459436.586321063805,  23.56148,  32.20719,              112.35835,  58.28113,       112.32735,       58.26995,     23.56148,     +32.20719,      23.58498,      +32.21037,  4048442.06,  -765933.00,  4983689.16,      50.603727,       -0.567141,  100896.10,  118249.27,    5911.23,             5996.98,    -0.68,  53656.11,           48728.71,     40.70,     -2.69,          71.14,  +0.66,  +0.30
  4,     UK002B,       0,  0.160660, 2459436.586321528535,  23.65818,  31.67551,              112.93626,  57.83846,       112.90517,       57.82733,     23.65818,     +31.67551,      23.68193,      +31.67870,  4047510.93,  -766145.98,  4981816.49,      50.599193,       -0.572627,   98893.37,  116456.30,    8013.43,             8099.18,    20.22,  52330.07,           49842.35,     40.45,     -2.67,          71.80,  +2.36,  +2.03

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.