Orbital Analysis for matched events on 20210929_214737.564_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 345.62° Bg 50.79° Vg 20.57km/s
mass 0.00755g, abs. mag 2.5
Path Details
------------
start 0.35° 52.58° 94.13km
end   0.38° 52.60° 82.21km

Orbit Details
-------------
Semimajor axis 5.10A.U., eccentricity 0.83, inclination 24.86°, Period 11.50Y, LA Sun 186.67°, last Perihelion 2010-04-26

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: 2459487.408073658589
Time: 2021-09-29 21:47:37.564102 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0032 and UK0035
 Convergence angle = 73.35847 deg
 R.A. = 324.95571  Dec = +41.31728 deg

Best intersection: Stations UK0032 and UK0035 with Qconv = 73.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3604310.74 +/- 266.16 m
 Y =  -1594988.67 +/- 319.08 m
 Z =   5116713.40 +/- 214.18 m
 Vx =    14284.70 +/- 703.69 m/s
 Vy =   -10235.49 +/- 181.90 m/s
 Vz =    15421.20 +/- 868.84 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.025634e+04, -1.139368e+04, +7.142231e+03, +2.265251e+04, -2.501594e+04, +1.424674e+04
-1.139368e+04, +1.414158e+04, -9.233842e+03, -2.560747e+04, +3.245421e+04, -2.084398e+04
+7.142231e+03, -9.233842e+03, +6.751276e+03, +1.578067e+04, -2.188352e+04, +1.584688e+04
+2.265251e+04, -2.560747e+04, +1.578067e+04, +5.680532e+04, -6.197827e+04, +3.796452e+04
-2.501594e+04, +3.245421e+04, -2.188352e+04, -6.197827e+04, +8.142021e+04, -5.667644e+04
+1.424674e+04, -2.084398e+04, +1.584688e+04, +3.796452e+04, -5.667644e+04, +4.682899e+04

Timing offsets (from input data):
    UK0032: 0.003950 s
    UK0035: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 21:47:37.564102 UTC
  Lon     = ++0.352755 +/- 0.0027 deg
  Lat     = +52.575793 +/- 0.0015 deg
  Lat geo = +52.392604 +/- 0.0015 deg
  Ht      =   94039.59 +/- 395.39 m

  JD dynamic   = 2459487.408874399494 
  LST apparent = 336.1295310056 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 324.37706 +/- 0.7487 deg
  Dec       = +41.26825 +/- 0.5979 deg
  Azimuth   = 219.82888 +/- 1.0186 deg
  Elevation = +76.17099 +/- 0.7816 deg
  Vavg      =  23.17452 +/- 0.4305 km/s
  Vinit     =  23.38015 +/- 1.0374 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 325.29750 +/- 0.7487 deg
  Dec       = +41.35939 +/- 0.5979 deg
  Azimuth   = 217.49012 +/- 1.0186 deg
  Elevation = +76.59910 +/- 0.7816 deg
  Vavg      =  23.13225 +/- 0.4305 km/s
  Vinit     =  23.33787 +/- 1.0374 km/s
Radiant (geocentric, J2000):
  R.A.   = 323.55248 +/- 0.7258 deg
  Dec    = +40.42133 +/- 0.5747 deg
  Vg     =  20.57196 +/- 1.1595 km/s
  Vinf   =  23.38015 +/- 1.0374 km/s
  Zc     =  13.68882 +/- 0.7827 deg
  Zg     =  14.56760 +/- 0.7521 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 345.61562 +/- 1.1741 deg
  Bg     = +50.78683 +/- 0.3040 deg
  Vh     =  39.96679 +/- 1.0391 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 296.81065 +/- 0.5761 deg
  Bh     = +23.50714 +/- 0.6437 deg
  Vh_x   = -16.53072 +/- 0.6822 km/s
  Vh_y   =  32.71017 +/- 0.4961 km/s
  Vh_z   = -15.94129 +/- 0.8535 km/s
Orbit:
  La Sun = 186.668030 +/- 0.0000 deg
  a      =   5.096315 +/- 13.5415 AU
  e      =   0.825168 +/- 0.0869
  i      =  24.857701 +/- 0.7555 deg
  peri   = 220.905916 +/- 1.0817 deg
  node   = 186.671100 +/- 0.0001 deg
  Pi     =  47.577016 +/- 1.0818 deg
  q      =   0.890998 +/- 0.0012 AU
  f      = 319.090761 +/- 1.0818 deg
  M      = 357.602046 +/- nan deg
  Q      =   9.301632 +/- 27.0833 AU
  n      =   0.085668 +/- 0.0271 deg/day
  T      =  11.504958 +/- 399999992.5595 years
  Last perihelion JD = 2455313.140808 (2010-04-26 15:22:45.842441) +/- 3554.2130 days
  Tj     =   2.035601 +/- 0.4894
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.829546e-04, +9.174939e-06, -7.711941e+01, -2.289437e-08, -2.557887e-04, +1.722773e-04
q   , +9.174939e-06, +1.443276e-06, -8.826046e-01, -5.066603e-10, -6.909041e-06, +3.774918e-06
Tp  , -7.711941e+01, -8.826046e-01, +7.522670e+06, +1.814695e-03, +2.029747e+01, -1.374104e+01
node, -2.289437e-08, -5.066603e-10, +1.814695e-03, +6.552320e-13, +6.941972e-09, -4.912201e-09
peri, -2.557887e-04, -6.909041e-06, +2.029747e+01, +6.941972e-09, +8.169341e-05, -5.209164e-05
i   , +1.722773e-04, +3.774918e-06, -1.374104e+01, -4.912201e-09, -5.209164e-05, +3.683486e-05

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: UK0035
  Avg. res. = 1.064e-05 s
  Stddev    = 3.26e-03 s

Begin point on the trajectory:
  Lon =     0.352536 +/- 0.0027 deg
  Lat =    52.575633 +/- 0.0015 deg
  Ht  = 94134.97 +/- 382.05 m
End point on the trajectory:
  Lon =     0.377737 +/- 0.0008 deg
  Lat =    52.595622 +/- 0.0004 deg
  Ht  = 82214.63 +/- 101.21 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
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,    87038.58,    82582.12,          0.016858,     17.31,     23.83,              26.86, 1.0000,   False,    True, {"ff_name": "FF_UK0032_20210929_214736_270_0318464.fits"}
    UK0035,   False,     1.010397,    52.949859,   25.00,   0.000001,  35.224466,    94134.97,    82214.63,          0.024678,     32.14,     34.81,              18.96, 1.0000,    True,    True, {"ff_name": "FF_UK0035_20210929_214734_443_0323072.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,     UK0032,       0,  0.308164, 2459487.408077180386, 352.72564,  24.75425,              149.01401,  59.00865,       148.96110,       59.02311,    352.72564,     +24.75425,     352.74967,      +24.77715,  3599905.73, -1591832.32,  5111957.93,      52.587525,       +0.367551,   87038.58,  101265.23,       0.00,             7209.79,     0.72,      0.00,           23633.62,    -44.09,    -32.05,         111.02,  +1.85,  +1.82
  1,     UK0032,       0,  0.348388, 2459487.408077645581, 352.97164,  24.58482,              148.71986,  58.77290,       148.71424,       58.77443,    352.97164,     +24.58482,     352.97550,      +24.58726,  3599272.02, -1591378.25,  5111273.80,      52.589215,       +0.369698,   86031.38,  100353.81,    1037.22,             8247.01,    97.49,  25785.99,           23633.62,     -4.67,     -3.39,          11.85,  +2.08,  +2.07
  2,     UK0032,       0,  0.388576, 2459487.408078110777, 353.17447,  24.43917,              148.48321,  58.57255,       148.51082,       58.56502,    353.17447,     +24.43917,     353.16410,      +24.42713,  3598746.81, -1591001.91,  5110706.80,      52.590615,       +0.371449,   85196.60,   99599.71,    1896.84,             9106.63,    17.52,  21390.19,           23633.62,     22.87,     16.58,          58.49,  +2.27,  +2.28
  3,     UK0032,       0,  0.428792, 2459487.408078576438, 353.38934,  24.24762,              148.25913,  58.32504,       148.27562,       58.32055,    353.38934,     +24.24762,     353.38391,      +24.24041,  3598145.57, -1590571.10,  5110057.72,      52.592219,       +0.373479,   84240.98,   98739.00,    2880.91,            10090.70,    61.33,  24469.53,           23633.62,     13.61,      9.87,          35.12,  +2.08,  +2.11
  4,     UK0032,       0,  0.468992, 2459487.408079041634, 353.59418,  24.08307,              148.03531,  58.10571,       148.06511,       58.09761,    353.59418,     +24.08307,     353.58305,      +24.06998,  3597606.39, -1590184.76,  5109475.65,      52.593658,       +0.375283,   83383.99,   97968.74,    3763.39,            10973.18,     3.93,  21952.25,           23306.25,     24.52,     17.78,          63.76,  +2.62,  +2.66
  5,     UK0032,       0,  0.509176, 2459487.408079506829, 353.76299,  23.90171,              147.88232,  57.88188,       147.86826,       57.88569,    353.76299,     +23.90171,     353.77129,      +23.90790,  3597101.91, -1589823.28,  5108931.03,      52.595004,       +0.376960,   82582.12,   97249.51,    4589.09,            11798.88,  -109.88,  20548.03,           22818.90,    -11.52,     -8.37,          30.20,  +2.93,  +2.99
  0,     UK0035,       0,  0.000000, 2459487.408073658589, 310.05792,  26.20372,              227.21332,  56.64110,       227.10102,       56.63565,    310.05792,     +26.20372,     310.11483,      +26.16857,  3604370.75, -1595031.67,  5116778.19,      52.575633,       +0.352536,   94134.97,  112329.43,       0.00,               98.23,    94.08,      0.00,           26571.58,     89.37,    -82.38,         223.18,  +2.83,  +2.58
  1,     UK0035,       0,  0.040136, 2459487.408074123319, 309.97317,  26.05018,              227.19629,  56.47000,       227.13409,       56.46701,    309.97317,     +26.05018,     310.00501,      +26.03068,  3603770.88, -1594601.84,  5116130.59,      52.577230,       +0.354554,   93181.60,  111406.93,     981.83,              883.60,   -58.93,  24462.64,           26571.58,     49.26,    -45.51,         124.17,  +3.05,  +2.82
  2,     UK0035,       0,  0.080304, 2459487.408074588049, 309.84251,  25.88777,              227.23672,  56.27081,       227.17169,       56.26768,    309.84251,     +25.88777,     309.87610,      +25.86730,  3603072.36, -1594101.32,  5115376.49,      52.579089,       +0.356932,   92071.45,  110333.22,    2125.12,             2026.89,   145.22,  28462.57,           26571.58,     51.28,    -47.36,         130.49,  +2.52,  +2.31
  3,     UK0035,       0,  0.120456, 2459487.408075052779, 309.74368,  25.72101,              227.22876,  56.08185,       227.20713,       56.08082,    309.74368,     +25.72101,     309.75530,      +25.71419,  3602430.68, -1593641.54,  5114683.76,      52.580797,       +0.359104,   91051.62,  109348.46,    3175.37,             3077.14,   256.72,  26157.01,           26571.58,     16.96,    -15.70,          43.60,  +3.52,  +3.33
  4,     UK0035,       0,  0.160544, 2459487.408075516578, 309.69405,  25.62463,              227.21389,  55.97592,       227.22982,       55.97667,    309.69405,     +25.62463,     309.68651,      +25.62966,  3602083.67, -1593392.89,  5114309.14,      52.581722,       +0.360202,   90500.09,  108818.50,    3743.33,             3645.10,  -112.59,  14167.73,           24116.45,    -12.46,     11.55,          32.21,  +3.85,  +3.67
  5,     UK0035,       0,  0.200684, 2459487.408075981308, 309.57053,  25.49503,              227.27373,  55.80833,       227.26222,       55.80778,    309.57053,     +25.49503,     309.57731,      +25.49138,  3601520.55, -1592989.40,  5113701.22,      52.583222,       +0.362089,   89605.11,  107956.42,    4665.00,             4566.77,  -129.40,  22961.39,           23249.33,      8.98,     -8.31,          23.37,  +2.67,  +2.50
  6,     UK0035,       0,  0.240840, 2459487.408076446038, 309.43623,  25.35111,              227.33613,  55.62342,       227.29704,       55.62155,    309.43623,     +25.35111,     309.45751,      +25.33866,  3600908.86, -1592551.10,  5113040.86,      52.584851,       +0.364153,   88632.91,  107020.65,    5666.18,             5567.95,   -67.08,  24932.18,           23119.94,     30.40,    -28.07,          79.75,  +2.54,  +2.39
  7,     UK0035,       0,  0.280988, 2459487.408076910768, 309.33578,  25.19354,              227.33963,  55.44156,       227.33077,       55.44114,    309.33578,     +25.19354,     309.34157,      +25.19071,  3600326.93, -1592134.12,  5112412.63,      52.586402,       +0.366110,   87708.01,  106131.70,    6618.64,             6520.41,   -53.28,  23723.83,           23116.37,      6.86,     -6.34,          18.16,  +2.41,  +2.28
  8,     UK0035,       0,  0.321148, 2459487.408077375498, 309.21832,  25.03745,              227.36838,  55.25339,       227.36541,       55.25325,    309.21832,     +25.03745,     309.22121,      +25.03650,  3599730.77, -1591706.95,  5111769.04,      52.587991,       +0.368119,   86760.49,  105222.01,    7594.39,             7496.16,   -16.48,  24296.54,           23193.42,      2.29,     -2.12,           6.11,  +2.53,  +2.42
  9,     UK0035,       0,  0.361308, 2459487.408077840228, 309.10738,  24.87097,              227.37946,  55.05898,       227.40062,       55.05999,    309.10738,     +24.87097,     309.09778,      +24.87777,  3599128.05, -1591275.08,  5111118.37,      52.589599,       +0.370154,   85802.54,  104303.43,    8580.88,             8482.65,    31.07,  24564.07,           23307.45,    -16.25,     15.04,          43.78,  +2.52,  +2.43
 10,     UK0035,       0,  0.401456, 2459487.408078304958, 309.00353,  24.71510,              227.39016,  54.87692,       227.43384,       54.87899,    309.00353,     +24.71510,     308.98217,      +24.72917,  3598573.97, -1590878.06,  5110520.20,      52.591076,       +0.372011,   84921.88,  103460.42,    9487.76,             9389.53,    -0.72,  22588.32,           23336.95,    -33.40,     30.94,          90.78,  +2.30,  +2.23
 11,     UK0035,       0,  0.441620, 2459487.408078770153, 308.87937,  24.55719,              227.42736,  54.68402,       227.46860,       54.68597,    308.87937,     +24.55719,     308.85938,      +24.57053,  3597992.36, -1590461.32,  5109892.33,      52.592628,       +0.373969,   83997.47,  102576.44,   10439.69,            10341.46,    12.17,  23701.02,           23367.97,    -31.42,     29.09,          86.11,  +2.52,  +2.46
 12,     UK0035,       0,  0.481800, 2459487.408079234883, 308.71788,  24.39923,              227.51574,  54.47443,       227.50582,       54.47395,    308.71788,     +24.39923,     308.72516,      +24.39600,  3597363.92, -1590011.03,  5109213.89,      52.594305,       +0.376100,   82998.62,  101622.22,   11468.27,            11370.04,   101.34,  25599.38,           23460.36,      7.53,     -6.95,          20.81,  +2.51,  +2.48
 13,     UK0035,       0,  0.521940, 2459487.408079699613, 308.61611,  24.25556,              227.53445,  54.30377,       227.53690,       54.30389,    308.61611,     +24.25556,     308.61698,      +24.25636,  3596870.69, -1589657.61,  5108681.42,      52.595622,       +0.377737,   82214.63,  100875.30,   12275.55,            12177.32,   -29.86,  20111.71,           23422.75,     -1.86,      1.72,           5.17,  +2.94,  +2.92
 14,     UK0035,       1,  0.562068, 2459487.408080163877, 308.53583,  24.12133,              227.53196,  54.15087,       227.56522,       54.15245,    308.53583,     +24.12133,     308.52038,      +24.13219,  3596438.92, -1589348.23,  5108215.29,      52.596774,       +0.379149,   81528.30,  100222.77,   12982.24,            12884.01,  -261.37,  17610.89,           23253.09,    -25.09,     23.20,          70.33,  +6.39,  +6.39
 15,     UK0035,       1,  0.602124, 2459487.408080627676, 308.43239,  24.11085,              227.66392,  54.09571,       227.58080,       54.09164,    308.43239,     +24.11085,     308.47936,      +24.08354,  3596273.96, -1589230.03,  5108037.21,      52.597215,       +0.379586,   81265.94,   99976.55,   13252.24,            13154.01,  -927.89,   6740.37,           22776.24,     62.86,    -57.75,         176.10,  +7.14,  +7.14

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.