Orbital Analysis for matched events on 20211103_023530.074_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 123.03° Bg 30.88° Vg 63.86km/s
mass 0.03886g, abs. mag -1.3
best visual mag 0.1
Path Details
------------
start -0.24° 49.51° 107.65km
end   -0.43° 49.46° 87.07km

Orbit Details
-------------
Semimajor axis 13.64A.U., eccentricity 0.93, inclination 126.55°, Period 50.37Y, LA Sun 220.59°, last Perihelion 1971-07-06

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: 2459521.607986978721
Time: 2021-11-03 02:35:30.074961 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002N and UK0038
 Convergence angle = 23.18402 deg
 R.A. = 136.70964  Dec = +49.50596 deg

Best intersection: Stations UK002N and UK0038 with Qconv = 23.18 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    644623.90 +/- 45.40 m
 Y =   4169967.50 +/- 189.57 m
 Z =   4909436.50 +/- 54.78 m
 Vx =   -30311.98 +/- 19.43 m/s
 Vy =    29551.09 +/- 686.24 m/s
 Vz =    49082.20 +/- 486.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.212301e+03, -5.171486e+03, -1.421439e+03, +2.066341e+03, -9.518410e+03, +3.202733e+03
-5.171486e+03, +3.709391e+04, +1.375668e+03, -6.254409e+03, +1.047647e+05, -1.469557e+04
-1.421439e+03, +1.375668e+03, +3.145282e+03, +7.537917e+02, -3.911683e+03, +1.511489e+03
+2.066341e+03, -6.254409e+03, +7.537917e+02, +8.747857e+03, -3.455626e+04, +5.868937e+03
-9.518410e+03, +1.047647e+05, -3.911683e+03, -3.455626e+04, +4.836358e+05, -6.777498e+04
+3.202733e+03, -1.469557e+04, +1.511489e+03, +5.868937e+03, -6.777498e+04, +2.375697e+04

Timing offsets (from input data):
    UK002D: 0.000000 s
    UK002N: -0.000099 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:35:30.074961 UTC
  Lon     = +-0.242017 +/- 0.0009 deg
  Lat     = +49.509009 +/- 0.0012 deg
  Lat geo = +49.322029 +/- 0.0012 deg
  Ht      =  107682.94 +/- 129.97 m

  JD dynamic   = 2459521.608787719626 
  LST apparent = 81.2123612857 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 135.72822 +/- 0.6375 deg
  Dec       = +49.22249 +/- 0.3954 deg
  Azimuth   =  69.07226 +/- 0.8900 deg
  Elevation = +55.29270 +/- 0.2476 deg
  Vavg      =  60.74573 +/- 0.2024 km/s
  Vinit     =  64.81624 +/- 0.2619 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 135.96854 +/- 0.6375 deg
  Dec       = +49.05495 +/- 0.3954 deg
  Azimuth   =  69.24157 +/- 0.8900 deg
  Elevation = +55.08427 +/- 0.2476 deg
  Vavg      =  60.90989 +/- 0.2024 km/s
  Vinit     =  64.98040 +/- 0.2619 km/s
Radiant (geocentric, J2000):
  R.A.   = 135.73001 +/- 0.6470 deg
  Dec    = +49.21150 +/- 0.3960 deg
  Vg     =  63.85923 +/- 0.2659 km/s
  Vinf   =  64.81624 +/- 0.2619 km/s
  Zc     =  34.77447 +/- 0.2501 deg
  Zg     =  35.04134 +/- 0.2542 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 123.02849 +/- 0.3105 deg
  Bg     = +30.88258 +/- 0.5102 deg
  Vh     =  41.51266 +/- 0.1186 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 113.11349 +/- 0.4875 deg
  Bh     = +52.14684 +/- 0.8921 deg
  Vh_x   =   9.99984 +/- 0.0883 km/s
  Vh_y   = -23.42902 +/- 0.5813 km/s
  Vh_z   = -32.77782 +/- 0.3605 km/s
Orbit:
  La Sun = 220.594455 +/- -0.0000 deg
  a      =  13.639153 +/- 2.0444 AU
  e      =   0.929824 +/- 0.0108
  i      = 126.548259 +/- 0.8180 deg
  peri   = 202.057786 +/- 0.9479 deg
  node   = 220.596699 +/- 0.0000 deg
  Pi     =  62.654485 +/- 0.9479 deg
  q      =   0.957137 +/- 0.0028 AU
  f      = 337.943423 +/- 0.9479 deg
  M      = 359.697636 +/- 0.0616 deg
  Q      =  26.321169 +/- 4.0897 AU
  n      =   0.019567 +/- 0.0045 deg/day
  T      =  50.371137 +/- 11.4130 years
  Last perihelion JD = 2441138.683151 (1971-07-06 04:23:44.271119) +/- 4168.5196 days
  Tj     =  -0.327973 +/- 0.0652
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.226238e-04, -1.116039e-05, -4.720033e+01, +8.271544e-08, +3.226871e-03, +3.286017e-03
q   , -1.116039e-05, +8.331987e-06, +4.167218e+00, -6.016814e-08, -2.823939e-03, -2.372546e-03
Tp  , -4.720033e+01, +4.167218e+00, +1.850895e+07, -2.969506e-02, -1.205984e+03, -1.182580e+03
node, +8.271544e-08, -6.016814e-08, -2.969506e-02, +4.664933e-10, +2.034143e-05, +1.837930e-05
peri, +3.226871e-03, -2.823939e-03, -1.205984e+03, +2.034143e-05, +9.604504e-01, +8.021313e-01
i   , +3.286017e-03, -2.372546e-03, -1.182580e+03, +1.837930e-05, +8.021313e-01, +7.241938e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.163608
 a2 = 22.123473

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 6.728e-06 s
  Stddev    = 2.59e-03 s

Begin point on the trajectory:
  Lon =    -0.242298 +/- 0.0007 deg
  Lat =    49.508939 +/- 0.0013 deg
  Ht  = 107650.95 +/- 105.71 m
End point on the trajectory:
  Lon =    -0.425294 +/- 0.0006 deg
  Lat =    49.463606 +/- 0.0012 deg
  Ht  = 87072.27 +/- 79.66 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
    UK002D,    True,    -1.801980,    51.351940,  129.00,   1.330502,  17.434576,    92655.17,    87478.36,          0.023778,       nan,       nan,              66.63, 0.8427,    True,    True, {"ff_name": "FF_UK002D_20211103_023522_350_0834048.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.099981,  23.814115,   107171.12,    87489.77,          0.013720,     21.02,     49.18,              73.58, 0.9201,    True,    True, {"ff_name": "FF_UK002N_20211103_023524_982_0847616.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.775946,  17.444046,   107650.95,    87072.27,          0.018486,     64.21,     61.07,              63.63, 0.8028,    True,    True, {"ff_name": "FF_UK0038_20211103_023525_739_0839424.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,     UK002D,       1,  0.288035, 2459521.607990312390, 105.18763, -14.43820,              153.52440,  20.54865,       153.53519,       20.55640,    105.18763,     -14.43820,     105.17652,      -14.43367,   653177.27,  4161628.84,  4895586.60,      49.475968,       -0.375517,   92655.17,  251316.31,       0.00,            18289.71,  -160.19,      0.00,           53171.12,    -43.41,     35.15,          45.84,  +1.54,  -0.46
  1,     UK002D,       1,  0.328399, 2459521.607990779448, 105.01595, -14.87575,              153.82775,  20.17695,       153.84077,       20.18630,    105.01595,     -14.87575,     105.00242,      -14.87027,   654198.81,  4160632.94,  4893932.48,      49.472001,       -0.391516,   90861.43,  250542.21,    2184.37,            20474.07,  -592.06,  54116.73,           53171.12,    -52.28,     42.33,          55.38,  +0.72,  -1.27
  2,     UK002D,       1,  0.368819, 2459521.607991247438, 104.80170, -15.38261,              154.19166,  19.74952,       154.19597,       19.75262,    104.80170,     -15.38261,     104.79827,      -15.38079,   655385.94,  4159475.61,  4892010.23,      49.467386,       -0.410088,   88777.22,  249664.53,    4722.82,            23012.53,  -673.48,  62801.97,           53171.12,    -17.29,     14.00,          18.38,  +1.07,  -0.92
  3,     UK002D,       1,  0.409063, 2459521.607991713099, 104.62560, -15.68545,              154.45484,  19.50653,       154.41864,       19.48060,    104.62560,     -15.68545,     104.66886,      -15.70078,   656125.81,  4158754.31,  4890812.21,      49.464507,       -0.421730,   87478.36,  249127.31,    6304.89,            24594.60, -1699.87,  39311.89,           53171.12,    144.96,   -117.10,         154.29,  +3.90,  +1.92
  0,     UK002N,       0,  0.004667, 2459521.607987041585,  89.88502, -10.93978,              169.87234,  27.29103,       169.87555,       27.29309,     89.88502,     -10.93978,      89.88191,      -10.93806,   644915.06,  4169683.65,  4908965.05,      49.507889,       -0.246536,  107171.12,  226763.97,       0.00,              622.59,   539.51,      0.00,           63895.74,    -12.78,      5.47,          12.64,  +2.48,  +0.70
  1,     UK002N,       0,  0.044975, 2459521.607987508178,  89.60373, -11.39129,              170.23628,  26.87268,       170.22547,       26.86574,     89.60373,     -11.39129,      89.61444,      -11.39714,   645936.12,  4168688.22,  4907311.71,      49.503960,       -0.262477,  105376.40,  226110.19,    2183.34,             2805.93,   110.23,  54166.45,           63895.74,     43.09,    -18.43,          42.75,  +4.15,  +2.38
  2,     UK002N,       0,  0.085307, 2459521.607987974770,  89.32826, -11.87500,              170.59401,  26.42040,       170.58901,       26.41721,     89.32826,     -11.87500,      89.33348,      -11.87772,   646999.39,  4167651.64,  4905590.02,      49.499863,       -0.279076,  103507.73,  225450.05,    4456.94,             5079.53,  -230.34,  56372.07,           63895.74,     19.90,     -8.51,          19.80,  +3.07,  +1.30
  3,     UK002N,       0,  0.166139, 2459521.607988910284,  88.57853, -13.10142,              171.53893,  25.27292,       171.51210,       25.25582,     88.57853,     -13.10142,      88.60567,      -13.11614,   649714.86,  4165004.33,  4901193.04,      49.489380,       -0.321405,   98736.50,  223861.52,   10263.44,            10886.03,   336.93,  71834.14,           63895.74,    106.65,    -45.55,         106.86,  +4.66,  +2.91
  4,     UK002N,       0,  0.287283, 2459521.607990312390,  87.63863, -14.75303,              172.69789,  23.70839,       172.70592,       23.71348,     87.63863,     -14.75303,      87.63180,      -14.74856,   653246.15,  4161561.69,  4895475.06,      49.475701,       -0.376585,   92534.22,  222006.40,   17814.41,            18437.00,    35.81,  62330.54,           64037.18,    -31.86,     13.63,          32.20,  +0.93,  -0.80
  5,     UK002N,       0,  0.327619, 2459521.607990779448,  87.33912, -15.24389,              173.05527,  23.24235,       173.06110,       23.24603,     87.33912,     -15.24389,      87.33464,      -15.24064,   654301.23,  4160533.09,  4893766.63,      49.471603,       -0.393103,   90681.60,  221499.16,   20070.50,            20693.09,  -322.53,  55932.48,           63398.54,    -23.10,      9.88,          23.39,  +0.12,  -1.61
  6,     UK002N,       0,  0.367967, 2459521.607991246507,  87.04528, -15.74987,              173.40407,  22.75953,       173.41993,       22.76954,     87.04528,     -15.74987,      87.03086,      -15.74098,   655370.06,  4159491.09,  4892035.94,      49.467448,       -0.409841,   88805.10,  221007.76,   22355.98,            22978.57,  -652.25,  56644.26,           62779.01,    -62.86,     26.90,          63.81,  +0.07,  -1.65
  7,     UK002N,       0,  0.408195, 2459521.607991712168,  86.81160, -16.09168,              173.67392,  22.43510,       173.67193,       22.43384,     86.81160,     -16.09168,      86.81529,      -16.09280,   656119.32,  4158760.64,  4890822.72,      49.464532,       -0.421629,   87489.77,  220676.44,   23958.12,            24580.71, -1657.54,  39826.40,           61428.39,      7.89,     -3.37,           8.02,  +5.07,  +3.35
  0,     UK0038,       0,  0.000000, 2459521.607986978721, 113.96026, -10.20232,              142.78599,  21.45378,       142.79028,       21.45694,    113.96026,     -10.20232,     113.95525,      -10.20093,   644642.09,  4169949.77,  4909407.04,      49.508939,       -0.242298,  107650.95,  279550.21,       0.00,               38.91,   258.33,      0.00,           60776.92,    -17.13,     18.02,          18.35,  +4.47,  +2.24
  1,     UK0038,       0,  0.040356, 2459521.607987445779, 113.84848, -10.68181,              143.09183,  21.05285,       143.11914,       21.07297,    113.84848,     -10.68181,     113.81684,      -10.67293,   645898.93,  4168724.48,  4907371.93,      49.504103,       -0.261880,  105441.78,  278309.96,    2687.49,             2726.40,   330.10,  66594.68,           60776.92,   -108.64,    114.36,         116.90,  +4.14,  +1.92
  2,     UK0038,       0,  0.080628, 2459521.607987911906, 113.68976, -11.07460,              143.40608,  20.74889,       143.39949,       20.74403,    113.68976,     -11.07460,     113.69777,      -11.07675,   646965.49,  4167684.68,  4905644.91,      49.499994,       -0.278529,  103567.30,  277272.67,    4968.14,             5007.05,     0.47,  56631.08,           60776.92,     26.19,    -27.52,          28.26,  +2.82,  +0.61
  3,     UK0038,       0,  0.120960, 2459521.607988378499, 113.59464, -11.51911,              143.67793,  20.37271,       143.70010,       20.38900,    113.59464,     -11.51911,     113.56922,      -11.51187,   648106.12,  4166572.69,  4903797.97,      49.495594,       -0.296330,  101562.95,  276180.44,    7407.14,             7446.05,  -174.70,  60473.01,           60776.92,    -87.66,     92.24,          95.04,  +3.53,  +1.32
  4,     UK0038,       0,  0.161296, 2459521.607988845557, 113.40483, -12.00215,              144.05493,  19.99503,       144.04024,       19.98425,    113.40483,     -12.00215,     113.42270,      -12.00697,   649393.44,  4165317.69,  4901713.50,      49.490622,       -0.316409,   99301.17,  274969.47,   10159.82,            10198.73,   -36.45,  68243.85,           62102.51,     57.96,    -60.89,          63.06,  +4.71,  +2.51
  5,     UK0038,       0,  0.242020, 2459521.607989779674, 113.12692, -13.00641,              144.71916,  19.16406,       144.72131,       19.16563,    113.12692,     -13.00641,     113.12537,      -13.00570,   651957.34,  4162818.14,  4897561.93,      49.480699,       -0.356430,   94797.53,  272624.74,   15642.24,            15681.14,   213.74,  67915.54,           64143.57,     -8.43,      8.86,           9.26,  +3.28,  +1.10
  6,     UK0038,       0,  0.282324, 2459521.607990246266, 112.97139, -13.44220,              145.03805,  18.81489,       145.02099,       18.80242,    112.97139,     -13.44220,     112.99270,      -13.44785,   653078.86,  4161724.78,  4895745.94,      49.476350,       -0.373969,   92827.97,  271626.88,   18040.38,            18079.29,    -0.47,  59501.39,           64186.83,     66.70,    -70.04,          73.44,  +1.67,  -0.50
  7,     UK0038,       0,  0.322636, 2459521.607990712859, 112.84707, -13.87386,              145.32378,  18.45766,       145.31138,       18.44861,    112.84707,     -13.87386,     112.86309,      -13.87798,   654162.22,  4160668.61,  4893991.73,      49.472144,       -0.390924,   90925.68,  270679.54,   20356.93,            20395.84,  -296.79,  57465.51,           63732.49,     48.35,    -50.78,          53.43,  +1.00,  -1.16
  8,     UK0038,       0,  0.362944, 2459521.607991179451, 112.70543, -14.31118,              145.62653,  18.10061,       145.60702,       18.08639,    112.70543,     -14.31118,     112.73009,      -14.31768,   655262.18,  4159596.27,  4892210.64,      49.467868,       -0.408144,   88994.50,  269734.85,   22708.98,            22747.88,  -557.36,  58351.82,           63224.02,     75.88,    -79.66,          84.12,  +1.01,  -1.14
  9,     UK0038,       0,  0.403260, 2459521.607991646044, 112.58558, -14.75585,              145.90973,  17.72835,       145.90217,       17.72285,    112.58558,     -14.75585,     112.59625,      -14.75837,   656357.19,  4158528.74,  4890437.56,      49.463606,       -0.425294,   87072.27,  268811.63,   25050.44,            25089.35,  -829.03,  58077.80,           62724.66,     29.33,    -30.81,          32.64,  +3.01,  +0.86

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.