Orbital Analysis for matched events on 20210816_210134.486_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 39.81° Bg 35.43° Vg 59.23km/s
mass 0.09203g, abs. mag -2.1
Path Details
------------
start -1.41° 54.57° 106.14km
end   -1.73° 54.41° 89.12km

Orbit Details
-------------
Semimajor axis 7.16A.U., eccentricity 0.87, inclination 116.87°, Period 19.16Y, LA Sun 143.91°, last Perihelion 2002-07-17

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: 2459443.376093598548
Time: 2021-08-16 21:01:34.486915 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK002Z
 Convergence angle = 11.56008 deg
 R.A. =  23.99350  Dec = +51.31828 deg

Best intersection: Stations UK0026 and UK002Z with Qconv = 11.56 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    618864.65 +/- 425.00 m
 Y =  -3716318.01 +/- 262.78 m
 Z =   5260138.93 +/- 786.15 m
 Vx =    37400.33 +/- 1972.46 m/s
 Vy =    14649.49 +/- 559.92 m/s
 Vz =    44927.97 +/- 1664.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.066580e+05, -5.870864e+04, -1.848526e+05, +1.497258e+05, -1.297076e+05, -3.952586e+05
-5.870864e+04, +3.362924e+04, +1.034324e+05, -8.357262e+04, +7.115017e+04, +2.132684e+05
-1.848526e+05, +1.034324e+05, +3.236198e+05, -2.634649e+05, +2.264248e+05, +6.884027e+05
+1.497258e+05, -8.357262e+04, -2.634649e+05, +2.168769e+05, -1.862616e+05, -5.711860e+05
-1.297076e+05, +7.115017e+04, +2.264248e+05, -1.862616e+05, +1.623051e+05, +5.019669e+05
-3.952586e+05, +2.132684e+05, +6.884027e+05, -5.711860e+05, +5.019669e+05, +1.571683e+06

Timing offsets (from input data):
    UK0026: 0.000000 s
    UK002Z: 0.000046 s

Reference point on the trajectory:
  Time: 2021-08-16 21:01:34.486915 UTC
  Lon     = +-1.409717 +/- 0.0057 deg
  Lat     = +54.567451 +/- 0.0064 deg
  Lat geo = +54.388446 +/- 0.0064 deg
  Ht      =  106139.22 +/- 451.75 m

  JD dynamic   = 2459443.376894339453 
  LST apparent = 279.4544963707 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  21.38999 +/- 1.2447 deg
  Dec       = +48.20226 +/- 1.4080 deg
  Azimuth   =  50.13741 +/- 1.8154 deg
  Elevation = +31.83821 +/- 0.5276 deg
  Vavg      =  56.99160 +/- 0.6833 km/s
  Vinit     =  60.26537 +/- 0.9655 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  21.30948 +/- 1.2447 deg
  Dec       = +48.01229 +/- 1.4080 deg
  Azimuth   =  50.33366 +/- 1.8154 deg
  Elevation = +31.73261 +/- 0.5276 deg
  Vavg      =  57.17111 +/- 0.6833 km/s
  Vinit     =  60.44488 +/- 0.9655 km/s
Radiant (geocentric, J2000):
  R.A.   =  21.61323 +/- 1.2323 deg
  Dec    = +47.67987 +/- 1.4254 deg
  Vg     =  59.23433 +/- 0.9816 km/s
  Vinf   =  60.26537 +/- 0.9655 km/s
  Zc     =  58.27663 +/- 0.5235 deg
  Zg     =  58.82778 +/- 0.5452 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  39.80632 +/- 1.6913 deg
  Bg     = +35.43296 +/- 0.9111 deg
  Vh     =  40.35398 +/- 1.0630 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  19.09577 +/- 3.9269 deg
  Bh     = +58.32046 +/- 1.2027 deg
  Vh_x   = -20.02645 +/- 0.8206 km/s
  Vh_y   =  -6.93312 +/- 1.2007 km/s
  Vh_z   = -34.34118 +/- 1.3590 km/s
Orbit:
  La Sun = 143.912207 +/- -0.0000 deg
  a      =   7.159308 +/- 179.1809 AU
  e      =   0.872235 +/- 0.0961
  i      = 116.869497 +/- 0.2733 deg
  peri   = 217.557539 +/- 5.8942 deg
  node   = 143.909995 +/- 0.0000 deg
  Pi     =   1.467534 +/- 5.8941 deg
  q      =   0.914712 +/- 0.0221 AU
  f      = 322.438159 +/- 5.8942 deg
  M      = 358.656534 +/- nan deg
  Q      =  13.403905 +/- 358.3613 AU
  n      =   0.051451 +/- 0.0319 deg/day
  T      =  19.156106 +/- 377738794.8761 years
  Last perihelion JD = 2452472.598619 (2002-07-17 02:22:00.655292) +/- 291627.8334 days
  Tj     =   0.208395 +/- 0.5397
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.415311e-03, +1.303540e-03, -1.827139e+04, +7.650633e-09, -5.477501e-03, -9.153647e-05
q   , +1.303540e-03, +3.936426e-04, -5.302654e+03, +2.288452e-09, -1.646435e-03, -2.738039e-05
Tp  , -1.827139e+04, -5.302654e+03, +1.058437e+11, -4.002467e-02, +2.250123e+04, +4.782223e+02
node, +7.650633e-09, +2.288452e-09, -4.002467e-02, +1.592961e-14, -9.631458e-09, -1.903997e-10
peri, -5.477501e-03, -1.646435e-03, +2.250123e+04, -9.631458e-09, +6.893507e-03, +1.152331e-04
i   , -9.153647e-05, -2.738039e-05, +4.782223e+02, -1.903997e-10, +1.152331e-04, +2.275781e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 66.252052

Mean time residuals from time vs. length:
  Station with reference time: UK0026
  Avg. res. = 5.728e-06 s
  Stddev    = 2.39e-03 s

Begin point on the trajectory:
  Lon =    -1.409745 +/- 0.0058 deg
  Lat =    54.567438 +/- 0.0063 deg
  Ht  = 106137.71 +/- 445.84 m
End point on the trajectory:
  Lon =    -1.732698 +/- 0.0020 deg
  Lat =    54.410846 +/- 0.0014 deg
  Ht  = 89117.22 +/- 117.39 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
    UK0026,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   106137.71,    89721.78,          0.013284,     49.08,     16.38,              63.54, 1.0000,    True,   False, {"ff_name": "FF_UK0026_20210816_210134_189_0088576.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,  49.738236,    93712.89,    89117.22,          0.015754,     43.78,      6.21,              61.82, 1.0000,   False,    True, {"ff_name": "FF_UK002Z_20210816_210130_112_0082688.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,     UK0026,       0,  0.000000, 2459443.376093598548, 148.98274,  57.30233,              333.14044,  27.05979,       333.14958,       27.04187,    148.98274,     +57.30233,     148.95302,      +57.29094,   618862.88, -3716318.70,  5260136.81,      54.567438,       -1.409745,  106137.71,  226542.13,       0.00,                2.85,    76.63,      0.00,           59452.63,    -24.65,     73.83,          70.87,  +3.36,  +1.58
  1,     UK0026,       0,  0.040060, 2459443.376094062347, 149.54083,  56.82512,              332.57634,  26.80122,       332.57315,       26.80742,    149.54083,     +56.82512,     149.55123,      +56.82902,   617358.10, -3716908.11,  5258329.16,      54.555766,       -1.433957,  104858.86,  225569.01,    2424.74,             2427.58,    87.14,  60527.65,           59452.63,      8.52,    -25.48,          24.57,  +1.95,  +0.18
  2,     UK0026,       0,  0.080092, 2459443.376094525680, 150.10310,  56.37742,              332.02330,  26.57305,       332.02002,       26.57935,    150.10310,     +56.37742,     150.11380,      +56.38135,   615920.62, -3717471.17,  5256602.35,      54.544608,       -1.457089,  103637.78,  224660.25,    4741.04,             4743.89,    -9.10,  57861.29,           59452.63,      8.65,    -25.85,          25.03,  +1.76,  +0.00
  3,     UK0026,       0,  0.120084, 2459443.376094988547, 150.74633,  55.92795,              331.42241,  26.37042,       331.44002,       26.33689,    150.74633,     +55.92795,     150.69195,      +55.90729,   614419.09, -3718059.31,  5254798.60,      54.532944,       -1.481240,  102362.93,  223732.61,    7160.55,             7163.39,     0.27,  60499.74,           59452.63,    -45.78,    137.26,         133.40,  +1.10,  -0.65
  4,     UK0026,       0,  0.160152, 2459443.376095452346, 151.23038,  55.44885,              330.88651,  26.10041,       330.88565,       26.10202,    151.23038,     +55.44885,     151.23368,      +55.44984,   612989.82, -3718619.14,  5253081.67,      54.521832,       -1.504233,  101150.02,  222870.82,    9463.61,             9466.45,  -111.38,  57478.83,           59109.05,      2.21,     -6.61,           6.45,  +1.09,  -0.65
  5,     UK0026,       0,  0.200172, 2459443.376095915213, 151.80507,  54.97567,              330.30181,  25.86556,       330.30799,       25.85400,    151.80507,     +54.97567,     151.78716,      +54.96869,   611505.66, -3719200.48,  5251298.79,      54.510284,       -1.528098,   99891.13,  221997.63,   11855.12,            11857.97,  -131.69,  59758.04,           59103.60,    -15.75,     47.16,          46.20,  +0.79,  -0.94
  6,     UK0026,       0,  0.240212, 2459443.376096379012, 152.40658,  54.43408,              329.65921,  25.58454,       329.66495,       25.57391,    152.40658,     +54.43408,     152.39045,      +54.42772,   609858.90, -3719845.51,  5249320.58,      54.497461,       -1.554555,   98495.07,  221054.65,   14508.65,            14511.50,   108.82,  66271.90,           59869.84,    -14.45,     43.27,          42.56,  +0.43,  -1.29
  7,     UK0026,       0,  0.280260, 2459443.376096842345, 152.93894,  53.91806,              329.06581,  25.30842,       329.06545,       25.30909,    152.93894,     +53.91806,     152.94119,      +53.91846,   608329.56, -3720444.54,  5247483.42,      54.485542,       -1.579132,   97199.23,  220204.46,   16972.97,            16975.81,   159.63,  61534.07,           60327.85,      0.92,     -2.74,           2.71,  +0.26,  -1.45
  8,     UK0026,       0,  0.320288, 2459443.376097305678, 153.46267,  53.42846,              328.48940,  25.05570,       328.49136,       25.05215,    153.46267,     +53.42846,     153.45834,      +53.42638,   606869.95, -3721016.26,  5245730.03,      54.474157,       -1.602593,   95963.08,  219416.16,   19324.93,            19327.78,    99.29,  58757.93,           60436.91,     -4.81,     14.41,          14.28,  +0.28,  -1.43
  9,     UK0026,       0,  0.360316, 2459443.376097769011, 153.95450,  52.95820,              327.93921,  24.81268,       327.94397,       24.80411,    153.95450,     +52.95820,     153.94238,      +52.95322,   605482.41, -3721559.75,  5244063.23,      54.463326,       -1.624899,   94788.53,  218688.01,   21560.74,            21563.59,   -77.21,  55856.16,           60242.61,    -11.61,     34.76,          34.56,  +0.37,  -1.33
 10,     UK0026,       0,  0.400360, 2459443.376098232344, 154.45265,  52.43794,              327.35346,  24.53252,       327.35320,       24.53300,    154.45265,     +52.43794,     154.45508,      +52.43821,   603988.34, -3722144.97,  5242268.44,      54.451655,       -1.648901,   93524.42,  217926.62,   23968.23,            23971.07,   -82.98,  60121.07,           60131.10,      0.65,     -1.94,           1.94,  +0.14,  -1.55
 11,     UK0026,       0,  0.440404, 2459443.376098695677, 154.95006,  51.91129,              326.76155,  24.25004,       326.75800,       24.25634,    154.95006,     +51.91129,     154.96180,      +51.91488,   602486.84, -3722733.10,  5240464.73,      54.439916,       -1.673018,   92254.66,  217185.79,   26387.69,            26390.53,   -76.79,  60419.98,           60077.88,      8.51,    -25.46,          25.49,  +0.56,  -1.12
 12,     UK0026,       0,  0.480436, 2459443.376099159010, 155.50808,  51.33449,              326.10240,  23.94892,       326.10306,       23.94777,    155.50808,     +51.33449,     155.50829,      +51.33384,   600837.99, -3723378.94,  5238484.01,      54.427014,       -1.699479,   90861.04,  216400.12,   29044.57,            29047.42,   167.55,  66369.08,           60253.11,     -1.55,      4.65,           4.67,  +0.54,  -1.14
 13,     UK0026,       0,  0.520480, 2459443.376099622808, 155.92950,  50.84732,              325.57195,  23.68081,       325.56580,       23.69154,    155.92950,     +50.84732,     155.94835,      +50.85332,   599489.44, -3723907.17,  5236864.03,      54.416454,       -1.721149,   89721.78,  215780.92,   31217.58,            31220.42,   -72.71,  54265.44,           60192.13,     14.46,    -43.27,          43.61,  +1.39,  -0.28
  0,     UK002Z,       0,  0.393008, 2459443.376098127570, 171.27420,  57.12565,              321.42777,  34.70384,       321.41844,       34.71933,    171.27420,     +57.12565,     171.30565,      +57.13174,   604211.14, -3722057.70,  5242536.08,      54.453396,       -1.645310,   93712.89,  162078.20,       0.00,            23612.07,     1.08,      0.00,           58863.21,      6.89,    -48.42,          62.24,  -0.34,  -1.39
  1,     UK002Z,       0,  0.433648, 2459443.376098597888, 171.87714,  56.32306,              320.46951,  34.34291,       320.47687,       34.33091,    171.87714,     +56.32306,     171.85617,      +56.31843,   602621.48, -3722680.36,  5240626.46,      54.440969,       -1.670835,   92368.50,  161300.18,    2561.52,            26173.59,   113.41,  63029.43,           58863.21,     -5.31,     37.49,          48.42,  -0.31,  -1.35
  2,     UK002Z,       0,  0.474228, 2459443.376099067740, 172.36315,  55.59512,              319.62916,  33.99580,       319.64092,       33.97693,    172.36315,     +55.59512,     172.32975,      +55.58795,   601210.87, -3723232.89,  5238931.94,      54.429933,       -1.693501,   91176.12,  160641.69,    4834.51,            28446.58,   -59.16,  56012.75,           58863.21,     -8.35,     58.96,          76.46,  -0.09,  -1.12
  3,     UK002Z,       0,  0.514852, 2459443.376099538058, 172.80356,  54.81540,              318.76906,  33.59550,       318.76758,       33.59784,    172.80356,     +54.81540,     172.81005,      +54.81628,   599736.26, -3723810.49,  5237160.53,      54.418388,       -1.717183,   89930.25,  159984.91,    7210.64,            30822.71,  -131.25,  58490.74,           58863.21,      1.04,     -7.33,           9.55,  -0.03,  -1.05
  4,     UK002Z,       0,  0.555248, 2459443.376100005582, 173.14237,  54.31281,              318.18685,  33.36023,       318.19667,       33.34488,    173.14237,     +54.31281,     173.11649,      +54.30712,   598773.66, -3724187.53,  5236004.19,      54.410846,       -1.732698,   89117.22,  159576.02,    8761.73,            32373.80, -1014.64,  38397.11,           54659.44,     -6.80,     48.00,          62.66,  +3.75,  +2.74

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.