Orbital Analysis for matched events on 20210904_033922.706_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 51.49° Bg -9.81° Vg 66.90km/s
mass 0.01000g, abs. mag 0.0
Path Details
------------
start -4.11° 51.22° 108.29km
end   -4.17° 51.31° 97.15km

Orbit Details
-------------
Semimajor axis 17.48A.U., eccentricity 0.96, inclination 160.62°, Period 73.07Y, LA Sun 161.55°, last Perihelion 1948-09-14

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: 2459461.652346140239
Time: 2021-09-04 03:39:22.706517 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK0024
 Convergence angle = 18.97987 deg
 R.A. =  51.90362  Dec =  +9.52496 deg

Best intersection: Stations UK0020 and UK0024 with Qconv = 18.98 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3366054.36 +/- 64.87 m
 Y =   2289609.61 +/- 34.84 m
 Z =   5033286.65 +/- 178.67 m
 Vx =    41376.20 +/- 400.34 m/s
 Vy =    52658.94 +/- 679.29 m/s
 Vz =    10646.29 +/- 1247.71 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.503805e+03, -2.359455e+03, +1.228856e+04, +2.681878e+04, -2.065383e+04, +8.288190e+04
-2.359455e+03, +1.300436e+03, -6.542831e+03, -1.399689e+04, +1.065535e+04, -4.302662e+04
+1.228856e+04, -6.542831e+03, +3.417565e+04, +7.297018e+04, -5.597623e+04, +2.278999e+05
+2.681878e+04, -1.399689e+04, +7.297018e+04, +1.716316e+05, -1.368668e+05, +5.365902e+05
-2.065383e+04, +1.065535e+04, -5.597623e+04, -1.368668e+05, +1.110863e+05, -4.311878e+05
+8.288190e+04, -4.302662e+04, +2.278999e+05, +5.365902e+05, -4.311878e+05, +1.702812e+06

Timing offsets (from input data):
    UK0020: 0.000000 s
    UK0024: -0.000031 s

Reference point on the trajectory:
  Time: 2021-09-04 03:39:22.706517 UTC
  Lon     = +-4.105301 +/- 0.0009 deg
  Lat     = +51.218773 +/- 0.0008 deg
  Lat geo = +51.033877 +/- 0.0008 deg
  Ht      =  108294.29 +/- 160.59 m

  JD dynamic   = 2459461.653146881144 
  LST apparent = 34.2237634243 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.84189 +/- 0.4383 deg
  Dec       =  +9.03281 +/- 1.0409 deg
  Azimuth   = 154.80678 +/- 0.2053 deg
  Elevation = +45.39417 +/- 1.1169 deg
  Vavg      =  63.45683 +/- 0.2311 km/s
  Vinit     =  67.81074 +/- 0.2362 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  52.08362 +/- 0.4383 deg
  Dec       =  +9.02083 +/- 1.0409 deg
  Azimuth   = 154.48443 +/- 0.2053 deg
  Elevation = +45.31780 +/- 1.1169 deg
  Vavg      =  63.54615 +/- 0.2311 km/s
  Vinit     =  67.90007 +/- 0.2362 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.63704 +/- 0.4430 deg
  Dec    =  +8.65245 +/- 1.0504 deg
  Vg     =  66.89658 +/- 0.2394 km/s
  Vinf   =  67.81074 +/- 0.2362 km/s
  Zc     =  44.43858 +/- 1.1172 deg
  Zg     =  44.75624 +/- 1.1279 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  51.48840 +/- 0.1617 deg
  Bg     =  -9.80511 +/- 1.1259 deg
  Vh     =  41.33357 +/- 0.1582 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  36.13032 +/- 0.1154 deg
  Bh     = -15.99621 +/- 1.8540 deg
  Vh_x   = -32.09157 +/- 0.4060 km/s
  Vh_y   = -23.42760 +/- 0.2179 km/s
  Vh_z   =  11.39045 +/- 1.2760 km/s
Orbit:
  La Sun = 161.545051 +/- -0.0000 deg
  a      =  17.478623 +/- 286.6256 AU
  e      =   0.960576 +/- 0.0103
  i      = 160.618711 +/- 2.2005 deg
  peri   =  69.305015 +/- 0.4299 deg
  node   = 341.552455 +/- 0.0011 deg
  Pi     =  50.857471 +/- 0.4308 deg
  q      =   0.689085 +/- 0.0049 AU
  f      = 290.700845 +/- 0.4291 deg
  M      = 359.490357 +/- 0.1423 deg
  Q      =  34.268162 +/- 573.2535 AU
  n      =   0.013488 +/- 0.0038 deg/day
  T      =  73.073763 +/- 10051.6599 years
  Last perihelion JD = 2432808.781706 (1948-09-14 06:45:39.390935) +/- 173618.1014 days
  Tj     =  -0.663513 +/- 0.0868
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.124189e-04, -4.725311e-05, -1.451985e+03, +1.964119e-07, +6.073773e-05, +4.010101e-04
q   , -4.725311e-05, +2.585686e-05, +5.067542e+02, -8.878546e-08, -3.843335e-05, -1.943122e-04
Tp  , -1.451985e+03, +5.067542e+02, +3.195607e+10, -2.599399e+00, -5.609223e+02, -4.629519e+03
node, +1.964119e-07, -8.878546e-08, -2.599399e+00, +3.606345e-10, +1.195261e-07, +7.425566e-07
peri, +6.073773e-05, -3.843335e-05, -5.609223e+02, +1.195261e-07, +6.058949e-05, +2.721672e-04
i   , +4.010101e-04, -1.943122e-04, -4.629519e+03, +7.425566e-07, +2.721672e-04, +1.580600e-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: UK0020
  Avg. res. = 5.431e-06 s
  Stddev    = 2.33e-03 s

Begin point on the trajectory:
  Lon =    -4.105304 +/- 0.0009 deg
  Lat =    51.218778 +/- 0.0008 deg
  Ht  = 108293.65 +/- 160.88 m
End point on the trajectory:
  Lon =    -4.172489 +/- 0.0008 deg
  Lat =    51.306906 +/- 0.0007 deg
  Ht  = 97147.48 +/- 113.11 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
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   108293.65,    97147.48,          0.003704,      7.32,      4.03,              75.98, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210904_033915_564_0735232.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   1.726867,  22.836098,   106460.66,    97322.16,          0.024253,     56.49,     16.87,              76.40, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210904_033913_563_0738304.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,     UK0020,       0,  0.000000, 2459461.652346140239, 332.61524,  68.67128,              324.96227,  55.91676,       324.97312,       55.91755,    332.61524,     +68.67128,     332.61722,      +68.67737,  3366053.82,  2289608.92,  5033286.51,      51.218778,       -4.105304,  108293.65,  130238.09,       0.00,                0.89,   456.58,      0.00,           63613.14,      6.72,     12.21,          22.07,  +2.16,  +1.59
  1,     UK0020,       0,  0.041004, 2459461.652346614748, 329.39039,  68.78329,              325.23168,  54.75158,       325.22654,       54.75121,    329.39039,     +68.78329,     329.39003,      +68.78031,  3364395.43,  2287498.30,  5032859.79,      51.234046,       -4.116917,  106358.88,  129689.27,    2717.92,             2718.80,   393.99,  66284.21,           63613.14,     -3.26,     -5.92,          10.75,  +1.35,  +0.79
  2,     UK0020,       0,  0.081892, 2459461.652347087860, 326.53443,  68.81650,              325.43208,  53.72501,       325.43660,       53.72534,    326.53443,     +68.81650,     326.53491,      +68.81920,  3362948.76,  2285657.15,  5032487.56,      51.247371,       -4.127081,  104671.57,  129255.92,    5088.83,             5089.72,    -7.75,  57985.54,           63613.14,      2.93,      5.32,           9.70,  +0.34,  -0.22
  3,     UK0020,       0,  0.122948, 2459461.652347563300, 323.12515,  68.80567,              325.67885,  52.50179,       325.67548,       52.50154,    323.12515,     +68.80567,     323.12587,      +68.80360,  3361234.92,  2283475.97,  5032046.58,      51.263165,       -4.139105,  102673.18,  128796.54,    7897.61,             7898.50,    17.00,  68413.46,           63613.14,     -2.24,     -4.07,           7.45,  +0.27,  -0.28
  4,     UK0020,       0,  0.163976, 2459461.652348038275, 319.82953,  68.72525,              325.89818,  51.31327,       325.89474,       51.31302,    319.82953,     +68.72525,     319.83075,      +68.72310,  3359582.08,  2281372.42,  5031621.30,      51.278405,       -4.150721,  100746.47,  128410.45,   10606.43,            10607.31,   -56.33,  66023.53,           64389.43,     -2.34,     -4.25,           7.79,  +0.20,  -0.34
  5,     UK0020,       0,  0.205064, 2459461.652348513715, 316.37994,  68.56411,              326.10762,  50.05395,       326.11518,       50.05450,    316.37994,     +68.56411,     316.37885,      +68.56894,  3357842.26,  2279158.18,  5031173.63,      51.294456,       -4.162956,   98718.96,  128064.63,   13457.79,            13458.67,     8.83,  69396.41,           65328.11,      5.27,      9.57,          17.60,  +0.18,  -0.36
  6,     UK0020,       0,  0.245912, 2459461.652348986361, 313.72969,  68.39647,              326.27284,  49.07335,       326.27749,       49.07369,    313.72969,     +68.39647,     313.72915,      +68.39948,  3356493.43,  2277441.53,  5030826.57,      51.306906,       -4.172489,   97147.48,  127840.71,   15668.37,            15669.26,  -550.52,  54117.34,           64466.52,      3.30,      5.99,          11.03,  +0.53,  -0.00
  0,     UK0024,       0,  0.036448, 2459461.652346561663, 328.27523,  50.18253,              296.28676,  48.85776,       296.27878,       48.85509,    328.27523,     +50.18253,     328.27553,      +50.17664,  3364482.67,  2287609.34,  5032882.24,      51.233242,       -4.116296,  106460.66,  140395.21,       0.00,             2575.81,   559.94,      0.00,           63503.48,     -4.13,    -13.83,          21.21,  +3.89,  +3.15
  1,     UK0024,       0,  0.076996, 2459461.652347031049, 326.84408,  50.18631,              296.94553,  48.05222,       296.89682,       48.03595,    326.84408,     +50.18631,     326.84639,      +50.14993,  3363094.60,  2285842.76,  5032525.09,      51.246028,       -4.126052,  104841.65,  139984.58,    2274.89,             4850.70,    85.23,  56103.55,           63503.48,    -25.49,    -85.21,         131.05,  +1.97,  +1.24
  2,     UK0024,       0,  0.117648, 2459461.652347501833, 325.23080,  50.12111,              297.60196,  47.11591,       297.57281,       47.10621,    325.23080,     +50.12111,     325.23324,      +50.09906,  3361534.27,  2283856.95,  5032123.61,      51.260406,       -4.137011,  103022.19,  139565.08,    4832.09,             7407.90,  -114.21,  62904.69,           63503.48,    -15.40,    -51.54,          79.50,  +1.53,  +0.81
  3,     UK0024,       0,  0.158400, 2459461.652347973082, 323.38383,  50.02313,              298.33362,  46.03801,       298.32120,       46.03390,    323.38383,     +50.02313,     323.38570,      +50.01362,  3359752.65,  2281589.50,  5031665.18,      51.276832,       -4.149516,  100945.28,  139141.14,    7751.96,            10327.78,    42.24,  71649.83,           63503.48,     -6.64,    -22.22,          34.38,  +0.89,  +0.17
  4,     UK0024,       0,  0.199032, 2459461.652348443400, 321.85555,  49.90838,              298.90663,  45.13317,       298.92121,       45.13799,    321.85555,     +49.90838,     321.85459,      +49.91968,  3358278.68,  2279713.60,  5031285.93,      51.290429,       -4.159903,   99227.48,  138837.20,   10167.62,            12743.44,  -297.38,  59452.19,           63489.65,      7.87,     26.38,          40.90,  +0.58,  -0.13
  5,     UK0024,       0,  0.239740, 2459461.652348914649, 320.16297,  49.75383,              299.51985,  44.12056,       299.56825,       44.13651,    320.16297,     +49.75383,     320.15662,      +49.79177,  3356643.37,  2277632.36,  5030865.15,      51.305521,       -4.171422,   97322.16,  138547.83,   12847.71,            15423.52,  -377.74,  65836.78,           63821.45,     26.40,     88.60,         137.63,  +0.85,  +0.14

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.