Orbital Analysis for matched events on 20210929_033016.733_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 63.17° Bg 13.14° Vg 60.28km/s
mass 0.00509g, abs. mag 0.5
Path Details
------------
start -2.48° 51.33° 102.04km
end   -2.48° 51.35° 92.84km

Orbit Details
-------------
Semimajor axis 5.59A.U., eccentricity 0.94, inclination 145.10°, Period 13.23Y, LA Sun 185.92°, last Perihelion 2008-08-13

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: 2459486.646027011797
Time: 2021-09-29 03:30:16.733819 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK000S
 Convergence angle = 77.17386 deg
 R.A. =  58.93950  Dec = +33.73683 deg
Intersection 2 - Stations: UK0006 and UK001Z
 Convergence angle = 48.44636 deg
 R.A. =  58.81133  Dec = +33.70039 deg
Intersection 3 - Stations: UK000S and UK001Z
 Convergence angle = 54.37987 deg
 R.A. =  58.87397  Dec = +33.82509 deg

Best intersection: Stations UK0006 and UK000S with Qconv = 77.17 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2137696.05 +/- 54.43 m
 Y =   3448674.58 +/- 63.83 m
 Z =   5035932.95 +/- 42.44 m
 Vx =    26609.13 +/- 666.04 m/s
 Vy =    43382.93 +/- 917.31 m/s
 Vz =    34151.01 +/- 866.96 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.896606e+03, +1.959600e+03, +1.045651e+03, +3.693653e+03, -8.029134e+02, -8.015170e+03
+1.959600e+03, +2.600403e+03, +1.575603e+03, +1.225973e+03, -2.921692e+02, -7.343031e+03
+1.045651e+03, +1.575603e+03, +1.949727e+03, -7.288649e+02, +3.899256e+02, +3.123449e+03
+3.693653e+03, +1.225973e+03, -7.288649e+02, +3.406640e+04, -7.789250e+03, -1.024757e+04
-8.029134e+02, -2.921692e+02, +3.899256e+02, -7.789250e+03, +1.870785e+03, +3.020690e+03
-8.015170e+03, -7.343031e+03, +3.123449e+03, -1.024757e+04, +3.020690e+03, +1.253394e+05

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK000S: -0.000545 s
    UK001Z: -0.000813 s
    UK003Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 03:30:16.733819 UTC
  Lon     = +-2.481989 +/- 0.0003 deg
  Lat     = +51.326371 +/- 0.0004 deg
  Lat geo = +51.141445 +/- 0.0004 deg
  Ht      =  101931.93 +/- 77.82 m

  JD dynamic   = 2459486.646827752702 
  LST apparent = 58.2068741426 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  58.47693 +/- 0.1946 deg
  Dec       = +33.86288 +/- 0.2998 deg
  Azimuth   = 179.25279 +/- 0.5492 deg
  Elevation = +72.53541 +/- 0.2988 deg
  Vavg      =  59.09317 +/- 0.2190 km/s
  Vinit     =  61.28961 +/- 1.0801 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  58.81001 +/- 0.1946 deg
  Dec       = +33.86171 +/- 0.2998 deg
  Azimuth   = 178.33151 +/- 0.5492 deg
  Elevation = +72.52985 +/- 0.2988 deg
  Vavg      =  59.09505 +/- 0.2190 km/s
  Vinit     =  61.29148 +/- 1.0801 km/s
Radiant (geocentric, J2000):
  R.A.   =  58.13141 +/- 0.1954 deg
  Dec    = +33.65405 +/- 0.3054 deg
  Vg     =  60.27561 +/- 1.0970 km/s
  Vinf   =  61.28961 +/- 1.0801 km/s
  Zc     =  17.27968 +/- 0.2987 deg
  Zg     =  17.42492 +/- 0.3042 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.17327 +/- 0.1941 deg
  Bg     = +13.13661 +/- 0.2896 deg
  Vh     =  40.15586 +/- 1.0038 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  37.27577 +/- 0.7433 deg
  Bh     = +19.95021 +/- 0.3774 deg
  Vh_x   = -30.03568 +/- 0.4336 km/s
  Vh_y   = -22.86099 +/- 0.9439 km/s
  Vh_z   = -13.70132 +/- 0.5099 km/s
Orbit:
  La Sun = 185.919533 +/- nan deg
  a      =   5.594925 +/- 2.7888 AU
  e      =   0.940236 +/- 0.0369
  i      = 145.100756 +/- 0.5256 deg
  peri   = 292.011168 +/- 3.9543 deg
  node   = 185.920466 +/- 0.0000 deg
  Pi     = 117.931633 +/- 3.9543 deg
  q      =   0.334374 +/- 0.0227 AU
  f      = 247.987684 +/- 3.9543 deg
  M      = 357.086026 +/- nan deg
  Q      =  10.855475 +/- 5.5971 AU
  n      =   0.074475 +/- 0.0128 deg/day
  T      =  13.234027 +/- 249443822.0454 years
  Last perihelion JD = 2454691.960867 (2008-08-13 11:03:38.879655) +/- 935.8716 days
  Tj     =   0.351025 +/- 0.5229
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.397436e-05, +2.751715e-05, -5.561263e+00, +1.304347e-09, -8.744367e-05, -3.788553e-05
q   , +2.751715e-05, +6.773972e-05, -5.667519e+00, +1.849060e-09, -1.706715e-04, -5.383453e-05
Tp  , -5.561263e+00, -5.667519e+00, +9.609333e+05, -2.324631e-04, +1.685036e+01, +6.765953e+00
node, +1.304347e-09, +1.849060e-09, -2.324631e-04, +6.420188e-14, -5.099611e-09, -1.866230e-09
peri, -8.744367e-05, -1.706715e-04, +1.685036e+01, -5.099611e-09, +4.444266e-04, +1.483882e-04
i   , -3.788553e-05, -5.383453e-05, +6.765953e+00, -1.866230e-09, +1.483882e-04, +5.425552e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000003
 a2 = 114.619774

Mean time residuals from time vs. length:
  Station with reference time: UK0006
  Avg. res. = 1.313e-06 s
  Stddev    = 1.15e-03 s

Begin point on the trajectory:
  Lon =    -2.481983 +/- 0.0003 deg
  Lat =    51.326062 +/- 0.0004 deg
  Ht  = 102042.92 +/- 26.62 m
End point on the trajectory:
  Lon =    -2.483209 +/- 0.0003 deg
  Lat =    51.351715 +/- 0.0003 deg
  Ht  = 92838.63 +/- 49.47 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   102042.92,    92988.29,          0.017822,     42.47,      7.04,              36.88, 0.3603,    True,    True, {"ff_name": "FF_UK0006_20210929_033010_730_0820480.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,  54.153794,   0.000000,   101028.98,    93881.69,          0.010860,     13.17,     18.96,              49.00, 0.5695,    True,    True, {"ff_name": "FF_UK000S_20210929_033015_963_0812032.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   101748.31,    92838.63,          0.009845,     12.75,     14.87,              45.37, 0.5064,    True,    True, {"ff_name": "FF_UK001Z_20210929_033010_802_0811520.fits"}
    UK003Z,    True,    -1.639327,    51.011519,   64.00,  29.924581,   0.000000,   100985.73,    93827.09,          0.058939,       nan,       nan,              45.07, 0.0000,    True,    True, {"ff_name": "FF_UK003Z_20210929_033012_162_0819968.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,     UK0006,       0,  0.000000, 2459486.646027011797,  22.62232,  16.45625,              233.18403,  44.19782,       233.19724,       44.20198,     22.62232,     +16.45625,      22.61609,      +16.46470,  2137746.57,  3448756.94,  5035997.78,      51.326062,       -2.481983,  102042.92,  145055.22,       0.00,              116.35,   235.04,      0.00,           63217.69,     -4.27,    -25.84,          37.24,  +3.15,  +2.34
  1,     UK0006,       0,  0.040412, 2459486.646027479321,  22.16400,  16.16252,              233.49696,  43.71925,       233.49377,       43.71825,     22.16400,     +16.16252,      22.16568,      +16.16047,  2136789.24,  3447196.13,  5034769.12,      51.331917,       -2.482274,   99939.54,  143296.68,    2205.04,             2088.69,  -269.46,  54563.98,           63217.69,      1.02,      6.20,           9.05,  +2.47,  +1.69
  2,     UK0006,       0,  0.080944, 2459486.646027948707,  21.60505,  15.76656,              233.84813,  43.10241,       233.86086,       43.10641,     21.60505,     +15.76656,      21.59928,      +15.77479,  2135611.88,  3445276.59,  5033258.05,      51.339124,       -2.482593,   97352.80,  141149.57,    4916.89,             4800.54,   -41.80,  66906.46,           63217.69,     -4.07,    -24.60,          36.43,  +2.44,  +1.69
  3,     UK0006,       0,  0.121484, 2459486.646028418094,  21.01301,  15.38091,              234.23997,  42.47688,       234.23177,       42.47431,     21.01301,     +15.38091,      21.01749,      +15.37557,  2134434.06,  3443356.30,  5031746.41,      51.346340,       -2.482913,   94765.15,  139021.37,    7629.79,             7513.44,   186.42,  66919.05,           63217.69,      2.59,     15.72,          23.64,  +1.38,  +0.66
  4,     UK0006,       0,  0.161884, 2459486.646028885618,  20.62915,  15.06360,              234.44461,  42.01328,       234.48985,       42.02743,     20.62915,     +15.06360,      20.60773,      +15.09316,  2133625.28,  3442037.68,  5030708.39,      51.351298,       -2.483185,   92988.29,  137574.06,    9492.68,             9376.33,  -426.79,  46111.20,           60297.90,    -14.33,    -86.36,         131.25,  +2.86,  +2.17
  0,     UK000S,       0,  0.017343, 2459486.646027219016, 352.72790,  64.02904,              317.04907,  53.98737,       317.03796,       53.98555,    352.72790,     +64.02904,     352.72669,      +64.02228,  2137285.09,  3448004.55,  5035405.50,      51.328884,       -2.482116,  101028.98,  124364.57,       0.00,              946.59,     2.35,      0.00,           61820.08,    -12.10,     -8.40,          24.42,  +2.05,  +1.58
  1,     UK000S,       0,  0.058011, 2459486.646027689800, 350.88915,  64.08208,              317.40716,  53.20971,       317.39136,       53.20712,    350.88915,     +64.08208,     350.88819,      +64.07228,  2136299.21,  3446397.20,  5034140.20,      51.334916,       -2.482412,   98862.91,  122904.83,    2270.80,             3217.39,  -219.38,  55837.45,           61820.08,    -17.29,    -12.00,          35.32,  +1.92,  +1.47
  2,     UK000S,       0,  0.098835, 2459486.646028161980, 348.62242,  64.12052,              317.83795,  52.25390,       317.80996,       52.24933,    348.62242,     +64.12052,     348.62210,      +64.10280,  2135118.11,  3444471.56,  5032624.34,      51.342148,       -2.482733,   96267.99,  121187.93,    4991.26,             5937.85,    -1.01,  66638.74,           61820.08,    -30.81,    -21.39,          63.83,  +1.73,  +1.31
  3,     UK000S,       0,  0.139615, 2459486.646028634161, 346.47851,  64.09494,              318.18257,  51.34196,       318.18859,       51.34295,    346.47851,     +64.09494,     346.47896,      +64.09883,  2134031.94,  3442700.69,  5031230.30,      51.348805,       -2.483042,   93881.69,  119642.27,    7493.08,             8439.67,     1.43,  61349.31,           61820.08,      6.67,      4.64,          14.01,  +1.15,  +0.76
  0,     UK001Z,       0,  0.002011, 2459486.646027044393, 111.27310,  69.60266,               33.05436,  59.07712,        33.05056,       59.07759,    111.27310,     +69.60266,     111.27089,      +69.60451,  2137612.48,  3448538.32,  5035825.69,      51.326882,       -2.482012,  101748.31,  118178.22,       0.00,              192.50,   187.95,      0.00,           60576.89,     -3.15,     -2.70,           7.23,  +2.61,  +2.25
  1,     UK001Z,       0,  0.042667, 2459486.646027515177, 113.38247,  69.91193,               32.66717,  58.31047,        32.68587,       58.30815,    113.38247,     +69.91193,     113.39304,      +69.90248,  2136633.75,  3446942.63,  5034569.56,      51.332869,       -2.482306,   99597.92,  116614.15,    2254.33,             2446.83,   -49.51,  55448.91,           60576.89,     15.59,     13.37,          36.34,  +2.17,  +1.84
  2,     UK001Z,       0,  0.083367, 2459486.646027985960, 115.71493,  70.20193,               32.29441,  57.48725,        32.31375,       57.48485,    115.71493,     +70.20193,     115.72529,      +70.19182,  2135616.08,  3445283.44,  5033263.45,      51.339099,       -2.482606,   97362.03,  115012.29,    4598.37,             4790.86,  -199.96,  57593.01,           60576.89,     16.26,     13.94,          38.41,  +1.83,  +1.53
  3,     UK001Z,       0,  0.124251, 2459486.646028459538, 118.72570,  70.51956,               31.85350,  56.45437,        31.87279,       56.45198,    118.72570,     +70.51956,     118.73508,      +70.50904,  2134380.28,  3443268.62,  5031677.38,      51.346669,       -2.482935,   94646.99,  113102.64,    7444.81,             7637.31,   140.73,  69622.53,           60576.89,     16.38,     14.04,          39.33,  +1.42,  +1.15
  4,     UK001Z,       0,  0.164859, 2459486.646028929390, 120.85293,  70.68684,               31.60230,  55.74205,        31.58137,       55.74464,    120.85293,     +70.68684,     120.84499,      +70.69857,  2133557.16,  3441926.62,  5030620.96,      51.351715,       -2.483209,   92838.63,  111851.60,    9340.74,             9533.24,  -452.20,  46688.51,           58615.99,    -17.87,    -15.33,          43.43,  +2.40,  +2.16
  0,     UK003Z,       1,  0.018253, 2459486.646027223207, 359.52641,  55.61464,              301.35561,  55.25205,       301.25936,       55.23087,    359.52641,     +55.61464,     359.52083,      +55.55591,  2137265.40,  3447972.46,  5035380.24,      51.329004,       -2.482120,  100985.73,  122402.65,       0.00,              991.93,    -8.08,      0.00,           62499.24,    -92.96,     84.57,         211.77,  +2.76,  +2.32
  1,     UK003Z,       1,  0.058753, 2459486.646027691662, 358.18588,  55.65898,              301.84201,  54.54760,       301.72247,       54.52136,    358.18588,     +55.65898,     358.18150,      +55.58487,  2136294.83,  3446390.05,  5034134.57,      51.334943,       -2.482413,   98853.27,  120850.27,    2235.56,             3227.49,  -254.75,  55198.95,           62499.24,   -115.71,    105.23,         266.96,  +1.72,  +1.31
  2,     UK003Z,       1,  0.099433, 2459486.646028162446, 356.41895,  55.65500,              302.39324,  53.60473,       302.30922,       53.58634,    356.41895,     +55.65500,     356.41848,      +55.60186,  2135054.40,  3444367.70,  5032542.57,      51.342539,       -2.482741,   96128.02,  118896.32,    5092.66,             6084.59,   109.09,  70233.57,           62499.24,    -81.55,     74.23,         191.31,  +1.64,  +1.26
  3,     UK003Z,       1,  0.140017, 2459486.646028632298, 354.88183,  55.64134,              302.86964,  52.78558,       302.79818,       52.76998,    354.88183,     +55.64134,     354.88347,      +55.59539,  2134007.08,  3442660.17,  5031198.41,      51.348957,       -2.483045,   93827.09,  117276.32,    7504.98,             8496.91,    34.04,  59440.26,           62499.24,    -69.55,     63.34,         165.45,  +1.21,  +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.