Orbital Analysis for matched events on 20211111_185345.397_UK

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Summary for Event
-----------------
shower ID -1 spo (Sporadic)
Lg 55.15° Bg 18.41° Vg 25.50km/s
mass 0.13271g, abs. mag 0.0
best visual mag 1.0
Path Details
------------
start 0.32° 52.14° 87.88km
end   0.16° 52.11° 78.41km

Orbit Details
-------------
Semimajor axis 2.43A.U., eccentricity 0.79, inclination 16.26°, Period 3.79Y, LA Sun 229.31°, last Perihelion 2018-03-14

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: 2459530.287330986932
Time: 2021-11-11 18:53:45.397271 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK000S
 Convergence angle = 28.68438 deg
 R.A. =  45.54124  Dec = +37.96593 deg

Best intersection: Stations UK000C and UK000S with Qconv = 28.68 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3601188.61 +/- 38.71 m
 Y =  -1687296.50 +/- 91.84 m
 Z =   5081604.95 +/- 125.32 m
 Vx =    15272.98 +/- 418.75 m/s
 Vy =    15551.49 +/- 294.90 m/s
 Vz =    17283.93 +/- 386.80 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.602599e+03, +2.286626e+03, +3.075533e+03, +4.629086e+02, +1.777395e+03, +3.690614e+03
+2.286626e+03, +9.067071e+03, +1.168785e+04, +9.721432e+02, +2.233658e+04, +3.005915e+04
+3.075533e+03, +1.168785e+04, +1.693428e+04, +2.446979e+03, +3.049447e+04, +4.560424e+04
+4.629086e+02, +9.721432e+02, +2.446979e+03, +1.049918e+03, +2.606298e+03, +7.178782e+03
+1.777395e+03, +2.233658e+04, +3.049447e+04, +2.606298e+03, +7.833931e+04, +1.049072e+05
+3.690614e+03, +3.005915e+04, +4.560424e+04, +7.178782e+03, +1.049072e+05, +1.550001e+05

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK000S: 0.000523 s

Reference point on the trajectory:
  Time: 2021-11-11 18:53:45.397271 UTC
  Lon     = ++0.321972 +/- 0.0014 deg
  Lat     = +52.137289 +/- 0.0008 deg
  Lat geo = +51.953195 +/- 0.0008 deg
  Ht      =   87873.76 +/- 90.87 m

  JD dynamic   = 2459530.288131727837 
  LST apparent = 334.8950879857 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.51767 +/- 0.4951 deg
  Dec       = +38.41256 +/- 0.3829 deg
  Azimuth   =  76.59956 +/- 0.6886 deg
  Elevation = +40.54820 +/- 0.1591 deg
  Vavg      =  26.57895 +/- 0.3613 km/s
  Vinit     =  27.81810 +/- 0.3865 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.76746 +/- 0.4951 deg
  Dec       = +38.06488 +/- 0.3829 deg
  Azimuth   =  76.77934 +/- 0.6886 deg
  Elevation = +40.17323 +/- 0.1591 deg
  Vavg      =  26.79399 +/- 0.3613 km/s
  Vinit     =  28.03314 +/- 0.3865 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.36499 +/- 0.4476 deg
  Dec    = +36.83068 +/- 0.4368 deg
  Vg     =  25.50111 +/- 0.4233 km/s
  Vinf   =  27.81810 +/- 0.3865 km/s
  Zc     =  49.49471 +/- 0.1596 deg
  Zg     =  51.78975 +/- 0.1676 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  55.15391 +/- 0.4778 deg
  Bg     = +18.40778 +/- 0.3382 deg
  Vh     =  37.77546 +/- 0.1110 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   0.86290 +/- 0.6330 deg
  Bh     = +12.30926 +/- 0.3777 deg
  Vh_x   = -36.90286 +/- 0.0600 km/s
  Vh_y   =  -0.55581 +/- 0.4070 km/s
  Vh_z   =  -8.05329 +/- 0.2654 km/s
Orbit:
  La Sun = 229.306365 +/- 0.0000 deg
  a      =   2.428858 +/- 0.0528 AU
  e      =   0.789678 +/- 0.0079
  i      =  16.256904 +/- 0.6175 deg
  peri   = 275.559010 +/- 0.7120 deg
  node   = 229.305419 +/- -0.0000 deg
  Pi     = 144.864429 +/- 0.7120 deg
  q      =   0.510841 +/- 0.0078 AU
  f      = 264.441003 +/- 0.7120 deg
  M      = 348.524191 +/- 0.4591 deg
  Q      =   4.346874 +/- 0.1123 AU
  n      =   0.260376 +/- 0.0091 deg/day
  T      =   3.785330 +/- 0.1220 years
  Last perihelion JD = 2458191.746269 (2018-03-14 05:54:37.679358) +/- 44.7708 days
  Tj     =   2.947427 +/- 0.0549
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.744820e-05, -6.265699e-05, -3.726728e-01, +5.765235e-09, +5.293484e-03, +5.267069e-03
q   , -6.265699e-05, +6.573028e-05, +3.194709e-01, -5.282686e-09, -5.910676e-03, -4.883641e-03
Tp  , -3.726728e-01, +3.194709e-01, +2.158421e+03, -3.203176e-05, -2.571586e+01, -2.913956e+01
node, +5.765235e-09, -5.282686e-09, -3.203176e-05, +4.966910e-13, +4.429078e-07, +4.497582e-07
peri, +5.293484e-03, -5.910676e-03, -2.571586e+01, +4.429078e-07, +5.465621e-01, +4.121270e-01
i   , +5.267069e-03, -4.883641e-03, -2.913956e+01, +4.497582e-07, +4.121270e-01, +4.116320e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.086024
 a2 = 16.178735

Mean time residuals from time vs. length:
  Station with reference time: UK000C
  Avg. res. = 1.756e-05 s
  Stddev    = 4.19e-03 s

Begin point on the trajectory:
  Lon =     0.322077 +/- 0.0011 deg
  Lat =    52.137304 +/- 0.0008 deg
  Ht  = 87880.15 +/- 76.46 m
End point on the trajectory:
  Lon =     0.164387 +/- 0.0009 deg
  Lat =    52.114417 +/- 0.0007 deg
  Ht  = 78413.86 +/- 55.43 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.070898,  16.496774,    87880.15,    78413.86,          0.015831,     38.58,      8.96,              31.50, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20211111_185344_748_0175872.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,  44.056015,    84514.10,    79560.33,          0.010280,     37.76,      7.30,              30.48, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20211111_185337_766_0168448.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,     UK000C,       0,  0.000000, 2459530.287330986932,  81.41580,  59.49518,               36.30536,  35.18196,        36.31475,       35.16101,     81.41580,     +59.49518,      81.43556,      +59.47525,  3601194.00, -1687291.01,  5081611.06,      52.137304,       +0.322077,   87880.15,  150472.02,       0.00,                9.82,   324.59,      0.00,           26454.51,     13.28,     57.07,          80.32,  +4.73,  +3.84
  1,     UK000C,       0,  0.080072, 2459530.287331913598,  82.09521,  59.65955,               35.87071,  35.04425,        35.87541,       35.03390,     82.09521,     +59.65955,      82.10518,      +59.64963,  3600152.62, -1688351.38,  5080432.56,      52.134341,       +0.301541,   86647.20,  148837.50,    1896.76,             1886.93,   -25.75,  23688.15,           26454.51,      6.50,     27.95,          39.77,  +2.82,  +1.96
  2,     UK000C,       0,  0.120132, 2459530.287332377397,  82.52822,  59.74294,               35.61315,  34.94346,        35.60789,       34.95494,     82.52822,     +59.74294,      82.51815,      +59.75399,  3599525.88, -1688989.55,  5079723.30,      52.132555,       +0.289212,   85905.30,  147858.13,    3038.30,             3028.48,     1.40,  28495.87,           26454.51,     -7.15,    -30.84,          44.16,  +2.10,  +1.25
  3,     UK000C,       0,  0.160160, 2459530.287332840730,  82.96847,  59.86771,               35.31648,  34.86997,        35.31733,       34.86812,     82.96847,     +59.86771,      82.97082,      +59.86593,  3598852.28, -1689675.43,  5078961.01,      52.130634,       +0.275973,   85108.05,  146808.72,    4265.19,             4255.36,   114.79,  30650.70,           26454.51,      1.14,      4.92,           7.10,  +1.76,  +0.93
  4,     UK000C,       0,  0.200204, 2459530.287333304062,  83.36390,  59.95728,               35.07023,  34.78957,        35.06841,       34.79350,     83.36390,     +59.95728,      83.36119,      +59.96109,  3598283.25, -1690254.84,  5078317.05,      52.129010,       +0.264762,   84434.64,  145923.62,    5301.62,             5291.80,    37.27,  25882.41,           26783.34,     -2.42,    -10.43,          15.14,  +1.86,  +1.04
  5,     UK000C,       0,  0.240232, 2459530.287333767395,  83.76098,  60.06394,               34.80875,  34.72163,        34.81150,       34.71575,     83.76098,     +60.06394,      83.76726,      +60.05822,  3597701.81, -1690846.89,  5077659.05,      52.127349,       +0.253308,   83746.63,  145021.52,    6360.66,             6350.84,   -17.19,  26457.41,           26865.67,      3.61,     15.53,          22.68,  +1.54,  +0.73
  6,     UK000C,       0,  0.280300, 2459530.287334231194,  84.19418,  60.12593,               34.57114,  34.61073,        34.55809,       34.63845,     84.19418,     +60.12593,      84.17078,      +60.15303,  3597134.48, -1691424.56,  5077017.03,      52.125726,       +0.242126,   83075.41,  144143.37,    7393.98,             7384.16,   -98.49,  25789.14,           26802.88,    -16.89,    -72.87,         107.04,  +1.51,  +0.72
  7,     UK000C,       0,  0.320332, 2459530.287334694527,  84.65369,  60.24676,               34.27177,  34.53311,        34.26484,       34.54773,     84.65369,     +60.24676,      84.64221,      +60.26111,  3596483.66, -1692087.25,  5076280.52,      52.123864,       +0.229322,   82305.51,  143139.48,    8579.38,             8569.56,   -26.70,  29611.36,           26977.92,     -8.87,    -38.19,          56.50,  +1.35,  +0.57
  8,     UK000C,       0,  0.360372, 2459530.287335157860,  85.10362,  60.34771,               33.99413,  34.44636,        33.98707,       34.46115,     85.10362,     +60.34771,      85.09230,      +60.36228,  3595874.85, -1692707.16,  5075591.55,      52.122120,       +0.217332,   81585.40,  142202.70,    9688.27,             9678.44,   -31.65,  27694.42,           27108.56,     -8.93,    -38.42,          57.22,  +1.14,  +0.38
  9,     UK000C,       0,  0.400412, 2459530.287335621193,  85.58967,  60.46168,               33.69051,  34.35774,        33.68639,       34.36630,     85.58967,     +60.46168,      85.58401,      +60.47015,  3595222.62, -1693371.29,  5074853.44,      52.120250,       +0.204496,   80814.05,  141202.40,   10876.24,            10866.42,    42.48,  29669.66,           27306.19,     -5.14,    -22.11,          33.16,  +1.43,  +0.68
 10,     UK000C,       0,  0.440448, 2459530.287336084526,  86.01542,  60.55608,               33.42964,  34.27763,        33.42655,       34.28402,     86.01542,     +60.55608,      86.01185,      +60.56243,  3594666.61, -1693937.43,  5074224.23,      52.118654,       +0.193528,   80156.56,  140351.31,   11888.94,            11879.12,   -58.54,  25294.74,           27333.67,     -3.82,    -16.41,          24.76,  +1.56,  +0.82
 11,     UK000C,       0,  0.480488, 2459530.287336548325,  86.42906,  60.63801,               33.18484,  34.19402,        33.17936,       34.20527,     86.42906,     +60.63801,      86.42164,      +60.64922,  3594143.49, -1694470.10,  5073632.22,      52.117151,       +0.183198,   79538.02,  139552.29,   12841.76,            12831.94,  -219.56,  23796.69,           27222.54,     -6.70,    -28.77,          43.66,  +1.94,  +1.22
 12,     UK000C,       0,  0.520536, 2459530.287337011658,  86.83783,  60.70304,               32.95659,  34.10107,        32.94270,       34.12942,     86.83783,     +60.70304,      86.81655,      +60.73140,  3593647.78, -1694974.84,  5073071.25,      52.115727,       +0.173399,   78951.94,  138796.79,   13744.63,            13734.81,  -430.75,  22544.70,           27007.90,    -16.77,    -72.20,         110.15,  +2.79,  +2.08
 13,     UK000C,       0,  0.560552, 2459530.287337474991,  87.18946,  60.79870,               32.72715,  34.05056,        32.72311,       34.05877,     87.18946,     +60.79870,      87.18507,      +60.80693,  3593192.65, -1695438.28,  5072556.18,      52.114417,       +0.164387,   78413.86,  138104.32,   14573.62,            14563.79,  -714.93,  20716.41,           26699.30,     -4.85,    -20.81,          31.91,  +3.67,  +2.97
  0,     UK000S,       1,  0.162336, 2459530.287332859822,  85.97809,  45.09306,               44.40240,  21.95459,        44.43187,       21.92266,     85.97809,     +45.09306,      85.97685,      +45.05105,  3598997.64, -1689527.43,  5079125.50,      52.131049,       +0.278787,   85280.06,  219741.79,       0.00,             3990.62,  -210.51,      0.00,           30618.27,    -30.39,    158.31,         151.32,  +3.31,  +1.60
  1,     UK000S,       0,  0.202480, 2459530.287333324552,  86.19971,  45.04249,               44.30475,  21.81731,        44.30117,       21.82118,     86.19971,     +45.04249,      86.20081,      +45.04759,  3598350.41, -1690186.46,  5078393.05,      52.129202,       +0.266058,   84514.10,  218720.02,    1178.86,             5169.48,  -148.37,  29365.84,           30618.27,      3.70,    -19.13,          18.38,  +2.15,  +0.45
  2,     UK000S,       0,  0.242636, 2459530.287333789282,  86.46913,  45.03882,               44.14690,  21.69581,        44.14434,       21.69857,     86.46913,     +45.03882,      86.47035,      +45.04246,  3597578.34, -1690972.60,  5077519.34,      52.126996,       +0.250903,   83600.57,  217504.85,    2585.09,             6575.71,   140.79,  35019.24,           30618.27,      2.62,    -13.56,          13.10,  +1.40,  -0.29
  3,     UK000S,       0,  0.282752, 2459530.287334253546,  86.67092,  45.03009,               44.03254,  21.60034,        44.02648,       21.60688,     86.67092,     +45.03009,      86.67262,      +45.03871,  3597005.77, -1691555.62,  5076871.37,      52.125358,       +0.239619,   82923.15,  216603.26,    3627.98,             7618.60,    67.73,  25996.74,           30618.27,      6.19,    -32.03,          31.06,  +1.86,  +0.18
  4,     UK000S,       0,  0.322872, 2459530.287334717810,  86.87530,  45.01886,               43.91818,  21.50195,        43.90715,       21.51383,     86.87530,     +45.01886,      86.87764,      +45.03455,  3596430.10, -1692141.79,  5076219.90,      52.123710,       +0.228273,   82242.16,  215698.20,    4676.50,             8667.12,     0.19,  26134.60,           29406.82,     11.22,    -58.03,          56.52,  +1.20,  -0.47
  5,     UK000S,       0,  0.362984, 2459530.287335182074,  87.08260,  45.03582,               43.78324,  21.42462,        43.78734,       21.42020,     87.08260,     +45.03582,      87.08373,      +45.02999,  3595856.21, -1692726.14,  5075570.45,      52.122066,       +0.216961,   81563.35,  214797.29,    5721.78,             9712.40,   -70.37,  26059.03,           28582.59,     -4.14,     21.48,          21.01,  +1.38,  -0.28
  6,     UK000S,       0,  0.403124, 2459530.287335646804,  87.32418,  45.02511,               43.64609,  21.31080,        43.64700,       21.30983,     87.32418,     +45.02511,      87.32578,      +45.02383,  3595187.31, -1693407.24,  5074813.48,      52.120148,       +0.203801,   80772.29,  213750.25,    6940.11,            10930.73,    31.34,  30351.97,           28477.72,     -0.91,      4.70,           4.62,  +0.98,  -0.67
  7,     UK000S,       0,  0.443248, 2459530.287336111069,  87.52699,  44.99798,               43.54279,  21.20115,        43.52830,       21.21670,     87.52699,     +44.99798,      87.53038,      +45.01855,  3594627.66, -1693977.09,  5074180.15,      52.118542,       +0.192762,   80110.51,  212874.47,    7959.44,            11950.06,   -65.51,  25404.56,           28177.97,     14.53,    -75.16,          74.18,  +2.05,  +0.41
  8,     UK000S,       0,  0.483344, 2459530.287336575333,  87.69965,  45.00921,               43.43210,  21.13500,        43.42858,       21.13877,     87.69965,     +45.00921,      87.70206,      +45.01420,  3594162.38, -1694450.86,  5073653.60,      52.117206,       +0.183555,   79560.33,  212146.10,    8806.91,            12797.52,  -333.43,  21135.91,           27569.03,      3.50,    -18.17,          17.99,  +3.43,  +1.80

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.