Orbital Analysis for matched events on 20211111_233026.976_UK

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Summary for Event
-----------------
shower ID -1 spo (Sporadic)
Lg 45.59° Bg 9.08° Vg 18.91km/s
mass 0.02143g, abs. mag 1.8
best visual mag 1.4
Path Details
------------
start -2.44° 50.92° 82.21km
end   -2.44° 50.94° 77.01km

Orbit Details
-------------
Semimajor axis 2.03A.U., eccentricity 0.68, inclination 5.44°, Period 2.89Y, LA Sun 229.50°, last Perihelion 2019-02-06

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: 2459530.479478892870
Time: 2021-11-11 23:30:26.976344 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003M
 Convergence angle = 55.16180 deg
 R.A. =  40.89530  Dec = +27.16336 deg
Intersection 2 - Stations: UK000H and UK003Z
 Convergence angle = 18.49758 deg
 R.A. =  39.22805  Dec = +28.39274 deg
Intersection 3 - Stations: UK003M and UK003Z
 Convergence angle = 36.67825 deg
 R.A. =  42.00519  Dec = +27.42236 deg

Best intersection: Stations UK000H and UK003M with Qconv = 55.16 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3056641.82 +/- 90.64 m
 Y =   2704237.20 +/- 48.42 m
 Z =   4991525.89 +/- 51.49 m
 Vx =    14837.86 +/- 497.99 m/s
 Vy =    12711.61 +/- 572.23 m/s
 Vz =     9974.91 +/- 415.83 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.832627e+03, +3.217308e+03, +4.186575e+03, +2.531210e+04, -6.389317e+03, +8.574058e+03
+3.217308e+03, +2.305146e+03, +9.696975e+02, -3.021424e+03, -2.666856e+03, -8.202047e+03
+4.186575e+03, +9.696975e+02, +2.857147e+03, +2.021411e+04, -2.617379e+03, +1.395803e+04
+2.531210e+04, -3.021424e+03, +2.021411e+04, +2.490556e+05, -7.715131e+03, +1.907410e+05
-6.389317e+03, -2.666856e+03, -2.617379e+03, -7.715131e+03, +1.062930e+04, +6.059380e+03
+8.574058e+03, -8.202047e+03, +1.395803e+04, +1.907410e+05, +6.059380e+03, +1.783223e+05

Timing offsets (from input data):
    UK000H: 0.000137 s
    UK003M: 0.000000 s
    UK003Z: 0.000081 s

Reference point on the trajectory:
  Time: 2021-11-11 23:30:26.976344 UTC
  Lon     = +-2.436289 +/- 0.0006 deg
  Lat     = +50.915942 +/- 0.0005 deg
  Lat geo = +50.729882 +/- 0.0005 deg
  Ht      =   82236.12 +/- 92.38 m

  JD dynamic   = 2459530.480279633775 
  LST apparent = 41.4994633222 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  40.58669 +/- 0.9014 deg
  Dec       = +27.04567 +/- 0.5483 deg
  Azimuth   = 182.00847 +/- 2.0643 deg
  Elevation = +66.11964 +/- 0.5113 deg
  Vavg      =  20.98294 +/- 0.4692 km/s
  Vinit     =  21.93731 +/- 0.5044 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  41.45944 +/- 0.9014 deg
  Dec       = +27.04861 +/- 0.5483 deg
  Azimuth   = 180.08809 +/- 2.0643 deg
  Elevation = +66.13265 +/- 0.5113 deg
  Vavg      =  20.98073 +/- 0.4692 km/s
  Vinit     =  21.93511 +/- 0.5044 km/s
Radiant (geocentric, J2000):
  R.A.   =  40.22001 +/- 0.9417 deg
  Dec    = +25.17241 +/- 0.6601 deg
  Vg     =  18.91047 +/- 0.5791 km/s
  Vinf   =  21.93731 +/- 0.5044 km/s
  Zc     =  23.69442 +/- 0.5109 deg
  Zg     =  25.47550 +/- 0.6191 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  45.58710 +/- 0.6947 deg
  Bg     =  +9.07942 +/- 0.8289 deg
  Vh     =  36.80740 +/- 0.5050 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 350.76675 +/- 0.4883 deg
  Bh     =  +4.65134 +/- 0.5132 deg
  Vh_x   = -36.21084 +/- 0.5114 km/s
  Vh_y   =   5.88644 +/- 0.2562 km/s
  Vh_z   =  -2.98479 +/- 0.3789 km/s
Orbit:
  La Sun = 229.499591 +/- 0.0000 deg
  a      =   2.027737 +/- 0.2479 AU
  e      =   0.677831 +/- 0.0277
  i      =   5.437733 +/- 0.6324 deg
  peri   = 260.906363 +/- 1.3468 deg
  node   = 229.492308 +/- 0.0007 deg
  Pi     = 130.398671 +/- 1.3463 deg
  q      =   0.653274 +/- 0.0042 AU
  f      = 279.101169 +/- 1.3463 deg
  M      = 344.493967 +/- 2.0750 deg
  Q      =   3.402200 +/- 0.4944 AU
  n      =   0.341340 +/- 0.0412 deg/day
  T      =   2.887473 +/- 0.5810 years
  Last perihelion JD = 2458521.239251 (2019-02-06 17:44:31.303327) +/- 213.2016 days
  Tj     =   3.480260 +/- 0.2156
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +8.510634e-04, +4.244348e-05, -6.464771e+00, +1.926248e-05, -3.811394e-02, +1.792722e-02
q   , +4.244348e-05, +1.895668e-05, -3.382964e-01, +2.003222e-07, -4.342913e-03, +2.348380e-04
Tp  , -6.464771e+00, -3.382964e-01, +5.010780e+04, -1.419872e-01, +2.903917e+02, -1.339247e+02
node, +1.926248e-05, +2.003222e-07, -1.419872e-01, +5.170644e-07, -7.567403e-04, +4.667134e-04
peri, -3.811394e-02, -4.342913e-03, +2.903917e+02, -7.567403e-04, +2.063273e+00, -7.089391e-01
i   , +1.792722e-02, +2.348380e-04, -1.339247e+02, +4.667134e-04, -7.089391e-01, +4.262564e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.447074
 a2 = 16.318156

Mean time residuals from time vs. length:
  Station with reference time: UK003M
  Avg. res. = 3.682e-06 s
  Stddev    = 1.92e-03 s

Begin point on the trajectory:
  Lon =    -2.436284 +/- 0.0006 deg
  Lat =    50.916042 +/- 0.0004 deg
  Ht  = 82210.59 +/- 76.61 m
End point on the trajectory:
  Lon =    -2.436255 +/- 0.0007 deg
  Lat =    50.936479 +/- 0.0001 deg
  Ht  = 77009.95 +/- 74.56 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.007817,  42.794668,    81662.34,    77891.42,          0.025960,     34.13,     24.08,              38.41, 0.3860,    True,    True, {"ff_name": "FF_UK000H_20211111_233022_285_0584192.fits"}
    UK003M,   False,    -1.801740,    51.352050,  131.00,   0.000000,   0.000000,    82210.59,    77717.52,          0.019759,     35.28,      8.13,              23.90, 0.1641,    True,    True, {"ff_name": "FF_UK003M_20211111_233024_310_0583936.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   1.541290,  12.618040,    81840.88,    77009.95,          0.020660,     30.58,     18.16,              35.56, 0.3382,    True,    True, {"ff_name": "FF_UK003Z_20211111_233026_618_0585728.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,     UK000H,       0,  0.029880, 2459530.479479223024, 356.59831,  45.86179,              278.56203,  59.81395,       278.55573,       59.81135,    356.59831,     +45.86179,     356.59710,      +45.85779,  3056217.40,  2703873.60,  4991240.56,      50.918195,       -2.436283,   81662.34,   94249.05,       0.00,              627.49,   116.23,      0.00,           20765.51,     -3.89,     -5.51,          14.75,  +3.16,  +3.29
  1,     UK000H,       0,  0.069916, 2459530.479479686823, 356.16215,  45.88922,              278.87764,  59.55398,       278.92681,       59.57416,    356.16215,     +45.88922,     356.17255,      +45.92050,  3055698.51,  2703429.07,  4990891.74,      50.920950,       -2.436298,   80960.86,   93663.51,     767.16,             1394.65,     5.11,  19161.80,           20765.51,     30.20,     42.82,         115.40,  +2.16,  +2.30
  2,     UK000H,       0,  0.109896, 2459530.479480149224, 355.65080,  45.99544,              279.37473,  59.28239,       279.37583,       59.28284,    355.65080,     +45.99544,     355.65148,      +45.99615,  3055070.09,  2702890.70,  4990469.27,      50.924288,       -2.436280,   80111.30,   92956.62,    1696.27,             2323.76,    57.16,  23239.31,           20765.51,      0.68,      0.96,           2.61,  +1.64,  +1.80
  3,     UK000H,       0,  0.149876, 2459530.479480612092, 355.22384,  46.08567,              279.78857,  59.05656,       279.74324,       59.03813,    355.22384,     +46.08567,     355.21551,      +46.05661,  3054554.31,  2702448.83,  4990122.54,      50.927028,       -2.436295,   79414.02,   92380.44,    2458.83,             3086.32,   -57.33,  19073.43,           20765.51,    -27.63,    -39.15,         106.99,  +1.45,  +1.62
  4,     UK000H,       0,  0.189884, 2459530.479481074959, 354.68974,  46.15847,              280.23205,  58.75674,       280.18661,       58.73836,    354.68974,     +46.15847,     354.68180,      +46.12919,  3053931.28,  2701915.08,  4989703.70,      50.930338,       -2.436278,   78571.76,   91686.81,    3379.95,             4007.45,   -13.87,  23023.60,           21130.56,    -27.58,    -39.09,         107.62,  +1.80,  +1.99
  5,     UK000H,       0,  0.229884, 2459530.479481538292, 354.25135,  46.22028,              280.59649,  58.51191,       280.54352,       58.49056,    354.25135,     +46.22028,     354.24236,      +46.18601,  3053428.03,  2701483.95,  4989365.38,      50.933013,       -2.436297,   77891.42,   91130.62,    4123.99,             4751.49,  -147.33,  18601.02,           20873.47,    -32.05,    -45.42,         125.83,  +3.24,  +3.44
  0,     UK003M,       0,  0.000000, 2459530.479478892870,  15.25998,  18.43621,              222.78183,  50.84887,       222.72536,       50.82043,     15.25998,     +18.43621,      15.28021,      +18.39483,  3056622.94,  2704221.03,  4991513.19,      50.916042,       -2.436284,   82210.59,  105444.66,       0.00,               27.91,   172.14,      0.00,           20520.81,    -18.87,     81.80,         164.21,  +3.72,  +3.60
  1,     UK003M,       0,  0.040084, 2459530.479479356669,  15.12391,  18.31628,              222.87959,  50.68384,       222.89211,       50.69012,     15.12391,     +18.31628,      15.11957,      +18.32545,  3056145.83,  2703812.29,  4991192.45,      50.918575,       -2.436310,   81565.59,  104809.95,     705.39,              733.31,    -1.81,  17597.82,           20520.81,      4.14,    -18.05,          36.44,  +2.85,  +2.75
  2,     UK003M,       0,  0.080108, 2459530.479479820002,  14.91703,  18.24839,              223.10827,  50.53506,       223.09599,       50.52891,     14.91703,     +18.24839,      14.92180,      +18.23940,  3055561.83,  2703311.97,  4990799.85,      50.921676,       -2.436306,   80776.07,  104033.11,    1568.82,             1596.74,   -16.40,  21572.85,           20520.81,     -4.04,     17.58,          35.76,  +2.16,  +2.07
  3,     UK003M,       0,  0.120140, 2459530.479480283335,  14.70714,  18.16871,              223.33153,  50.37414,       223.30592,       50.36133,     14.70714,     +18.16871,      14.71692,      +18.14991,  3054964.89,  2702800.57,  4990398.55,      50.924846,       -2.436297,   79969.07,  103240.37,    2451.38,             2479.30,   -12.03,  22046.34,           20520.81,     -8.39,     36.46,          74.74,  +2.13,  +2.06
  4,     UK003M,       0,  0.160204, 2459530.479480747133,  14.49383,  18.05382,              223.53335,  50.18006,       223.53164,       50.17921,     14.49383,     +18.05382,      14.49512,      +18.05257,  3054326.99,  2702254.09,  4989969.72,      50.928235,       -2.436276,   79106.72,  102394.49,    3394.49,             3422.40,    52.18,  23540.04,           21312.57,     -0.55,      2.41,           4.99,  +1.81,  +1.76
  5,     UK003M,       0,  0.200240, 2459530.479481210466,  14.29585,  17.97012,              223.73587,  50.02013,       223.73059,       50.01750,     14.29585,     +17.97012,      14.29861,      +17.96625,  3053772.12,  2701778.73,  4989596.70,      50.931184,       -2.436280,   78356.59,  101660.75,    4214.85,             4242.77,    -5.74,  20490.65,           21421.36,     -1.70,      7.42,          15.44,  +2.31,  +2.27
  6,     UK003M,       0,  0.240280, 2459530.479481673799,  14.12720,  17.89141,              223.90240,  49.87708,       223.90241,       49.87709,     14.12720,     +17.89141,      14.12820,      +17.89142,  3053299.40,  2701373.75,  4989278.91,      50.933697,       -2.436308,   77717.52,  101037.45,    4913.75,             4941.67,  -185.21,  17455.00,           21035.32,      0.00,     -0.01,           0.02,  +3.66,  +3.64
  0,     UK003Z,       0,  0.024054, 2459530.479479160160, 358.54329,  34.73337,              259.73437,  54.72004,       259.72697,       54.71627,    358.54329,     +34.73337,     358.54335,      +34.72767,  3056349.46,  2703986.74,  4991329.35,      50.917494,       -2.436300,   81840.88,   99867.10,       0.00,              432.24,    48.77,      0.00,           22296.16,     -5.08,     -8.54,          20.52,  +3.72,  +3.72
  1,     UK003Z,       0,  0.064286, 2459530.479479625821, 358.20330,  34.68495,              259.98864,  54.47763,       260.04180,       54.50459,    358.20330,     +34.68495,     358.20360,      +34.72594,  3055810.70,  2703525.18,  4990967.16,      50.920354,       -2.436309,   81112.52,   99235.63,     796.55,             1228.79,   -37.26,  19798.89,           22296.16,     36.25,     61.04,         147.56,  +3.44,  +3.46
  2,     UK003Z,       0,  0.104562, 2459530.479480091948, 357.75704,  34.69721,              260.41796,  54.20901,       260.45138,       54.22588,    357.75704,     +34.69721,     357.75737,      +34.72303,  3055110.52,  2702925.33,  4990496.45,      50.924073,       -2.436271,   80165.96,   98416.50,    1831.75,             2263.99,   114.39,  25702.59,           22296.16,     22.65,     38.13,          92.95,  +2.08,  +2.11
  3,     UK003Z,       0,  0.144786, 2459530.479480557609, 357.39942,  34.69948,              260.74970,  53.98852,       260.77487,       54.00118,    357.39942,     +34.69948,     357.39986,      +34.71895,  3054559.71,  2702453.46,  4990126.17,      50.926999,       -2.436277,   79421.33,   97776.44,    2646.09,             3078.33,    46.33,  20245.26,           22296.16,     16.97,     28.57,          70.11,  +2.04,  +2.09
  4,     UK003Z,       0,  0.185006, 2459530.479481023271, 357.02717,  34.72124,              261.11751,  53.77149,       261.10775,       53.76660,    357.02717,     +34.72124,     357.02803,      +34.71367,  3053994.08,  2701968.88,  4989745.92,      50.930004,       -2.436278,   78656.66,   97121.67,    3482.36,             3914.60,     0.28,  20792.34,           21904.21,     -6.55,    -11.02,          27.23,  +2.07,  +2.13
  5,     UK003Z,       0,  0.225202, 2459530.479481488466, 356.72513,  34.70850,              261.37535,  53.57534,       261.37471,       53.57503,    356.72513,     +34.70850,     356.72607,      +34.70801,  3053542.00,  2701581.58,  4989442.00,      50.932407,       -2.436312,   78045.48,   96601.71,    4150.75,             4582.99,  -213.12,  16628.37,           21039.37,     -0.42,     -0.71,           1.77,  +2.94,  +3.02
  6,     UK003Z,       0,  0.265530, 2459530.479481955059, 356.21038,  34.68543,              261.80993,  53.23989,       261.82677,       53.24826,    356.21038,     +34.68543,     356.21119,      +34.69853,  3052775.98,  2700925.33,  4988927.03,      50.936479,       -2.436255,   77009.95,   95720.09,    5283.29,             5715.53,    34.73,  28083.08,           21486.82,     11.18,     18.82,          47.17,  +5.62,  +5.71

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.