Orbital Analysis for matched events on 20210810_004813.877_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 75.81° Bg 58.09° Vg 42.53km/s
mass 0.00434g, abs. mag 1.4
Path Details
------------
start -1.32° 50.52° 96.62km
end   -1.34° 50.49° 91.44km

Orbit Details
-------------
Semimajor axis 3.62A.U., eccentricity 0.74, inclination 75.07°, Period 6.89Y, LA Sun 137.34°, last Perihelion 2021-07-14

Full details below
Click here to download a zip of the raw and processed data.

Detailed report below graphs

Click on an image to see a larger view


Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459436.533493951429
Time: 2021-08-10 00:48:13.877403 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0022 and UK0038
 Convergence angle = 43.99835 deg
 R.A. =  44.03914  Dec = +79.14546 deg

Best intersection: Stations UK0022 and UK0038 with Qconv = 44.00 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3552755.73 +/- 36.53 m
 Y =  -2095686.95 +/- 31.99 m
 Z =   4974405.47 +/- 35.72 m
 Vx =     5936.33 +/- 418.55 m/s
 Vy =     5512.59 +/- 379.14 m/s
 Vz =    43206.76 +/- 100.89 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.423471e+03, -9.662181e+02, +3.174378e-01, +1.280496e+04, -8.954760e+03, +1.660891e+03
-9.662181e+02, +1.097652e+03, -1.490597e+02, -1.024177e+04, +1.041870e+04, -2.029593e+03
+3.174378e-01, -1.490597e+02, +1.366278e+03, -2.642164e+03, -1.201694e+03, +4.165557e+02
+1.280496e+04, -1.024177e+04, -2.642164e+03, +1.865639e+05, -1.384987e+05, +2.304652e+04
-8.954760e+03, +1.041870e+04, -1.201694e+03, -1.384987e+05, +1.405705e+05, -2.532106e+04
+1.660891e+03, -2.029593e+03, +4.165557e+02, +2.304652e+04, -2.532106e+04, +4.717544e+03

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK0022: 0.000034 s
    UK002D: 0.000000 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 00:48:13.877403 UTC
  Lon     = +-1.319386 +/- 0.0002 deg
  Lat     = +50.520475 +/- 0.0004 deg
  Lat geo = +50.334319 +/- 0.0004 deg
  Ht      =   96610.03 +/- 40.65 m

  JD dynamic   = 2459436.534294692334 
  LST apparent = 329.4646462390 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  42.88034 +/- 3.9293 deg
  Dec       = +79.38050 +/- 0.2084 deg
  Azimuth   =  16.81844 +/- 0.3200 deg
  Elevation = +52.37987 +/- 0.6923 deg
  Vavg      =  41.89272 +/- 0.0796 km/s
  Vinit     =  43.95967 +/- 0.0739 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  43.46665 +/- 3.9293 deg
  Dec       = +79.01109 +/- 0.2084 deg
  Azimuth   =  17.43119 +/- 0.3200 deg
  Elevation = +52.28855 +/- 0.6923 deg
  Vavg      =  41.94684 +/- 0.0796 km/s
  Vinit     =  44.01379 +/- 0.0739 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.65536 +/- 4.0219 deg
  Dec    = +79.31679 +/- 0.1982 deg
  Vg     =  42.53340 +/- 0.0763 km/s
  Vinf   =  43.95967 +/- 0.0739 km/s
  Zc     =  37.79835 +/- 0.6923 deg
  Zg     =  38.44527 +/- 0.7072 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  75.81112 +/- 1.2068 deg
  Bg     = +58.08780 +/- 0.3843 deg
  Vh     =  38.79614 +/- 0.1079 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 180.03494 +/- 1.2484 deg
  Bh     = +68.53784 +/- 0.6479 deg
  Vh_x   =  14.19499 +/- 0.4125 km/s
  Vh_y   =   0.00866 +/- 0.2998 km/s
  Vh_z   = -36.10599 +/- 0.2090 km/s
Orbit:
  La Sun = 137.341272 +/- -0.0000 deg
  a      =   3.620031 +/- 0.1466 AU
  e      =   0.743751 +/- 0.0082
  i      =  75.073453 +/- 0.2344 deg
  peri   = 143.206766 +/- 1.8266 deg
  node   = 137.343149 +/- 0.0000 deg
  Pi     = 280.549915 +/- 1.8265 deg
  q      =   0.927630 +/- 0.0079 AU
  f      =  36.789518 +/- 1.8266 deg
  M      =   3.838783 +/- 0.2884 deg
  Q      =   6.312432 +/- 0.2895 AU
  n      =   0.143099 +/- 0.0071 deg/day
  T      =   6.887618 +/- 0.4364 years
  Last perihelion JD = 2459409.708169 (2021-07-14 04:59:45.762955) +/- 1.1756 days
  Tj     =   1.724836 +/- 0.0467
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.199009e-05, +1.769538e-05, +3.879794e-03, +1.357881e-09, +8.909660e-05, -2.016948e-05
q   , +1.769538e-05, +6.704108e-05, +9.869905e-03, -1.521155e-09, +2.691895e-04, +2.256049e-05
Tp  , +3.879794e-03, +9.869905e-03, +1.478500e+00, -1.911382e-07, +3.999619e-02, +2.834343e-03
node, +1.357881e-09, -1.521155e-09, -1.911382e-07, +8.132020e-14, -5.645655e-09, -1.206932e-09
peri, +8.909660e-05, +2.691895e-04, +3.999619e-02, -5.645655e-09, +1.086153e-03, +8.372565e-05
i   , -2.016948e-05, +2.256049e-05, +2.834343e-03, -1.206932e-09, +8.372565e-05, +1.791297e-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: UK0038
  Avg. res. = 1.111e-05 s
  Stddev    = 3.33e-03 s

Begin point on the trajectory:
  Lon =    -1.319327 +/- 0.0003 deg
  Lat =    50.520600 +/- 0.0003 deg
  Ht  = 96623.41 +/- 34.10 m
End point on the trajectory:
  Lon =    -1.336053 +/- 0.0002 deg
  Lat =    50.486685 +/- 0.0003 deg
  Ht  = 91435.51 +/- 35.20 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
    UK0001,    True,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    99178.16,    94777.47,          1.396519,       nan,       nan,              56.34, 0.0000,    True,    True, {"ff_name": "FF_UK0001_20210810_004811_103_0407040.fits"}
    UK0022,   False,    -0.848117,    51.261084,   92.00,   4.328746,  13.085939,    95639.43,    91435.51,          0.014565,     32.17,      8.77,              79.90, 1.0000,    True,    True, {"ff_name": "FF_UK0022_20210810_004806_211_0211968.fits"}
    UK002D,    True,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,    96037.83,    91881.68,          1.174850,       nan,       nan,              78.05, 0.0000,    True,    True, {"ff_name": "FF_UK002D_20210810_004804_620_0403712.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    96623.41,    91463.86,          0.016901,     24.68,     37.93,              76.91, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_004810_068_0400640.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,     UK0001,       1, -0.993293, 2459436.533482455183, 347.98017,  29.46829,              139.20513,  64.32452,       136.77136,       63.42528,    347.98017,     +29.46829,     349.55102,      +29.20106,  3553193.52, -2095280.41,  4977591.87,      50.537243,       -1.307283,   99178.16,  110654.54,       0.00,             3241.93, 47304.49,     -0.00,           47213.32,   1856.99,   1961.67,        5035.68,  +1.82,  +1.60
  1,     UK0001,       1, -0.953321, 2459436.533482917584, 347.84102,  28.75383,              140.21319,  63.74963,       137.80453,       62.87140,    347.84102,     +28.75383,     349.39555,      +28.48976,  3552964.58, -2095493.00,  4975925.60,      50.528476,       -1.311609,   97835.06,  109683.86,    1695.30,             1546.62, 43852.03,  42412.28,           47213.32,   1833.93,   1936.38,        5015.88,  +0.75,  +0.55
  2,     UK0001,       1, -0.913365, 2459436.533483379986, 347.64325,  27.80854,              141.51385,  62.98540,       139.11317,       62.12421,    347.64325,     +27.80854,     349.19442,      +27.54539,  3552666.88, -2095769.46,  4973758.80,      50.517071,       -1.317184,   96088.76,  108449.42,    3899.87,              657.94, 41206.90,  55174.75,           47213.32,   1824.63,   1926.45,        5047.10,  +0.78,  +0.60
  3,     UK0001,       1, -0.873381, 2459436.533483842853, 347.51043,  27.08138,              142.43909,  62.38340,       140.07493,       61.54482,    347.51043,     +27.08138,     349.04106,      +26.82213,  3552443.31, -2095977.07,  4972131.57,      50.508501,       -1.321413,   94777.47,  107541.91,    5555.45,             2313.52, 41104.80,  41406.15,           47213.32,   1797.06,   1896.16,        5011.13,  +1.89,  +1.73
  0,     UK0022,       0,  0.035630, 2459436.533494363539, 314.65039,   9.34334,              202.09351,  46.24147,       202.07177,       46.24227,    314.65039,      +9.34334,     314.66553,       +9.34053,  3552591.28, -2095839.66,  4973208.54,      50.514173,       -1.322523,   95639.43,  131408.26,       0.00,             1217.78,    49.21,      0.00,           43258.46,      9.09,     33.30,          54.19,  +2.90,  +2.31
  1,     UK0022,       0,  0.076246, 2459436.533494833391, 314.49410,   8.60070,              202.05493,  45.48344,       202.02190,       45.48465,    314.49410,      +8.60070,     314.51746,       +8.59638,  3552353.98, -2096060.02,  4971481.45,      50.505076,       -1.327004,   94247.36,  131132.30,    1757.19,             2974.97,    20.93,  43263.50,           43258.46,     13.96,     51.21,          83.48,  +1.61,  +1.02
  2,     UK0022,       0,  0.116810, 2459436.533495302778, 314.38476,   7.89534,              201.96700,  44.77252,       201.97664,       44.77217,    314.38476,      +7.89534,     314.37845,       +7.89661,  3552131.73, -2096266.40,  4969863.84,      50.496552,       -1.331211,   92943.66,  130894.91,    3402.99,             4620.77,  -116.45,  40572.98,           43258.46,     -4.12,    -15.10,          24.67,  +1.63,  +1.05
  3,     UK0022,       0,  0.157478, 2459436.533495773561, 314.22377,   7.08279,              201.91592,  43.94526,       201.92440,       43.94495,    314.22377,      +7.08279,     314.21837,       +7.08393,  3551874.59, -2096505.19,  4967992.25,      50.486685,       -1.336053,   91435.51,  130645.23,    5307.19,             6524.97,     0.00,  46823.00,           43258.46,     -3.67,    -13.45,          22.01,  +2.95,  +2.37
  0,     UK002D,       1, -1.092259, 2459436.533481309656, 342.52916,   6.61315,              161.16876,  43.87304,       159.64717,       43.43603,    342.52916,      +6.61315,     343.70044,       +6.41801,  3552658.17, -2095777.55,  4973695.40,      50.516737,       -1.316595,   96037.83,  138358.38,       0.00,              722.44, 49135.50,     -0.00,           43015.45,   1922.61,   2117.32,        4263.96,  +2.64,  +1.93
  1,     UK002D,       1, -1.051691, 2459436.533481779043, 342.41737,   5.94118,              161.50538,  43.23713,       159.99993,       42.80563,    342.41737,      +5.94118,     343.58515,       +5.74681,  3552432.13, -2095987.45,  4972050.24,      50.508073,       -1.320871,   94712.16,  138024.19,    1673.83,             2396.27, 49025.98,  41259.92,           43015.45,   1914.33,   2108.16,        4255.84,  +1.85,  +1.15
  2,     UK002D,       1, -1.011107, 2459436.533482248895, 342.30959,   5.24741,              161.83587,  42.57817,       160.35588,       42.15478,    342.30959,      +5.24741,     343.46674,       +5.05501,  3552200.28, -2096202.75,  4970362.72,      50.499181,       -1.325253,   93352.52,  137701.82,    3390.76,             4113.20, 48958.85,  42305.43,           43015.45,   1894.62,   2085.91,        4221.26,  +1.17,  +0.48
  3,     UK002D,       1, -0.970471, 2459436.533482719213, 342.19496,   4.49294,              162.18439,  41.86008,       160.73407,       41.44599,    342.19496,      +4.49294,     343.33870,       +4.30298,  3551949.43, -2096435.69,  4968536.97,      50.489557,       -1.329981,   91881.68,  137376.64,    5248.32,             5970.76, 49030.06,  45712.22,           43015.45,   1870.35,   2058.45,        4176.23,  +2.55,  +1.86
  0,     UK0038,       0,  0.000000, 2459436.533493951429, 358.19303,   5.77022,              141.05938,  38.14746,       141.05085,       38.14344,    358.19303,      +5.77022,     358.20083,       +5.76917,  3552758.98, -2095683.93,  4974429.12,      50.520600,       -1.319327,   96623.41,  154327.66,       0.00,               24.07,   421.80,      0.00,           41014.35,     17.67,     11.50,          28.17,  +5.12,  +4.18
  1,     UK0038,       0,  0.040448, 2459436.533494419418, 358.10626,   5.20711,              141.44028,  37.66348,       141.42446,       37.65606,    358.10626,      +5.20711,     358.12091,       +5.20517,  3552546.74, -2095881.02,  4972884.39,      50.512466,       -1.323352,   95378.17,  153969.04,    1571.65,             1547.59,   167.24,  38856.13,           41014.35,     32.79,     21.35,          52.41,  +2.21,  +1.27
  2,     UK0038,       0,  0.080908, 2459436.533494887874, 358.01778,   4.63490,              141.82279,  37.17064,       141.79910,       37.15955,    358.01778,      +4.63490,     358.03989,       +4.63199,  3552332.04, -2096080.40,  4971321.72,      50.504235,       -1.327422,   94118.62,  153621.87,    3161.55,             3137.48,   -21.48,  39295.50,           41014.35,     49.19,     32.03,          78.81,  +1.61,  +0.68
  3,     UK0038,       0,  0.121452, 2459436.533495357260, 357.94012,   3.96520,              142.23467,  36.58246,       142.22853,       36.57959,    357.94012,      +3.96520,     357.94630,       +3.96444,  3552083.19, -2096311.48,  4969510.50,      50.494690,       -1.332113,   92658.95,  153240.15,    5004.34,             4980.27,    39.01,  45451.56,           41014.35,     12.79,      8.32,          20.53,  +1.99,  +1.06
  4,     UK0038,       0,  0.161900, 2459436.533495825250, 357.89326,   3.41209,              142.55050,  36.08912,       142.57769,       36.10179,    357.89326,      +3.41209,     357.86876,       +3.41546,  3551879.43, -2096500.69,  4968027.50,      50.486871,       -1.335984,   91463.86,  152942.38,    6513.17,             6489.11,  -230.23,  37303.12,           40659.71,    -56.76,    -36.91,          91.31,  +3.52,  +2.60

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.