Orbital Analysis for matched events on 20211103_005853.784_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 106.77° Bg -5.20° Vg 68.43km/s
mass 0.02474g, abs. mag -0.8
best visual mag 0.9
Path Details
------------
start -0.36° 49.16° 110.26km
end   -0.54° 49.20° 99.21km

Orbit Details
-------------
Semimajor axis -11.91A.U., eccentricity 1.05, inclination 169.14°, Period nanY, LA Sun 220.53°, 

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: 2459521.540900282096
Time: 2021-11-03 00:58:53.784373 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK002N
 Convergence angle = 12.11940 deg
 R.A. = 108.82853  Dec = +17.19338 deg
Intersection 2 - Stations: UK002D and UK0038
 Convergence angle = 8.56459 deg
 R.A. = 102.92398  Dec = +11.44519 deg
Intersection 3 - Stations: UK002D and UK003N
 Convergence angle = 17.15505 deg
 R.A. = 110.71912  Dec = +18.93377 deg
Intersection 4 - Stations: UK002N and UK0038
 Convergence angle = 20.63323 deg
 R.A. = 105.83197  Dec = +15.34853 deg
Intersection 5 - Stations: UK002N and UK003N
 Convergence angle = 5.07404 deg
 R.A. = 116.43342  Dec = +21.50937 deg
Intersection 6 - Stations: UK0038 and UK003N
 Convergence angle = 25.62032 deg
 R.A. = 107.31572  Dec = +17.27400 deg

Best intersection: Stations UK0038 and UK003N with Qconv = 25.62 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2323142.96 +/- 78.88 m
 Y =   3560084.97 +/- 219.01 m
 Z =   4885650.91 +/- 104.43 m
 Vx =   -19970.78 +/- 533.53 m/s
 Vy =    63045.25 +/- 1543.97 m/s
 Vz =    20800.16 +/- 1271.74 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK002D: 0.000000 s
    UK002N: 0.000302 s
    UK0038: -0.000199 s
    UK003N: 0.000412 s

Reference point on the trajectory:
  Time: 2021-11-03 00:58:53.784373 UTC
  Lon     = +-0.363610 +/- 0.0015 deg
  Lat     = +49.160595 +/- 0.0018 deg
  Lat geo = +48.973348 +/- 0.0018 deg
  Ht      =  110182.30 +/- 100.04 m

  JD dynamic   = 2459521.541701023001 
  LST apparent = 56.8734352176 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 107.57659 +/- 0.8355 deg
  Dec       = +17.45948 +/- 0.8112 deg
  Azimuth   = 109.46231 +/- 1.4338 deg
  Elevation = +38.46763 +/- 0.1782 deg
  Vavg      =  64.78761 +/- 1.1365 km/s
  Vinit     =  69.32664 +/- 1.1025 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 107.74606 +/- 0.8355 deg
  Dec       = +17.40012 +/- 0.8112 deg
  Azimuth   = 109.35387 +/- 1.4338 deg
  Elevation = +38.31781 +/- 0.1782 deg
  Vavg      =  65.01677 +/- 1.1365 km/s
  Vinit     =  69.55579 +/- 1.1025 km/s
Radiant (geocentric, J2000):
  R.A.   = 107.50441 +/- 0.8447 deg
  Dec    = +17.22376 +/- 0.8078 deg
  Vg     =  68.43309 +/- 1.1165 km/s
  Vinf   =  69.32664 +/- 1.1025 km/s
  Zc     =  51.47020 +/- 0.1755 deg
  Zg     =  51.82847 +/- 0.1698 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 106.76690 +/- 0.7207 deg
  Bg     =  -5.20092 +/- 0.8927 deg
  Vh     =  43.15998 +/- 1.3807 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.75158 +/- 0.7284 deg
  Bh     =  -8.26352 +/- 1.2590 deg
  Vh_x   =  -0.18519 +/- 0.5796 km/s
  Vh_y   = -42.71147 +/- 1.1888 km/s
  Vh_z   =   6.20322 +/- 1.1991 km/s
Orbit:
  La Sun = 220.527258 +/- 0.0000 deg
  a      = -11.910766 +/- 11.5258 AU
  e      =   1.049305 +/- 0.0837
  i      = 169.143900 +/- 1.7751 deg
  peri   =  78.282907 +/- 2.1491 deg
  node   =  40.523593 +/- 0.0006 deg
  Pi     = 118.806500 +/- 2.1486 deg
  q      =   0.587262 +/- 0.0065 AU
  f      = 281.712408 +/- 2.1497 deg
  M      =        nan +/- nan deg
  Q      = -24.408795 +/- 23.0469 AU
  n      =   0.023977 +/- 0.0984 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -1.381492 +/- 0.7399
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.968279
 a2 = 24.719457

Mean time residuals from time vs. length:
  Station with reference time: UK002D
  Avg. res. = 2.935e-06 s
  Stddev    = 1.71e-03 s

Begin point on the trajectory:
  Lon =    -0.362442 +/- 0.0013 deg
  Lat =    49.160325 +/- 0.0020 deg
  Ht  = 110255.34 +/- 96.27 m
End point on the trajectory:
  Lon =    -0.540866 +/- 0.0018 deg
  Lat =    49.201253 +/- 0.0027 deg
  Ht  = 99210.11 +/- 174.03 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,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   110255.34,   100337.60,          0.021039,     11.08,    104.45,              41.57, 0.4403,    True,    True, {"ff_name": "FF_UK002D_20211103_005852_334_0689408.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   108912.72,   100686.63,          0.023993,     12.38,    106.19,              52.98, 0.6375,    True,    True, {"ff_name": "FF_UK002N_20211103_005843_873_0702720.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   2.597133,  19.465868,   108923.33,    99210.11,          0.012993,     15.40,     64.86,              36.60, 0.3555,    True,    True, {"ff_name": "FF_UK0038_20211103_005845_486_0694528.fits"}
    UK003N,   False,    -0.162561,    51.236425,  112.00,   0.000007,  76.332214,   108315.48,   100532.92,          0.013802,     12.93,     59.96,              60.31, 0.7547,    True,    True, {"ff_name": "FF_UK003N_20211103_005852_797_0707584.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,       0,  0.000000, 2459521.540900282096,  77.90904, -14.55467,              156.61138,  21.24253,       156.60860,       21.23834,     77.90904,     -14.55467,      77.91258,      -14.55806,  2323109.14,  3560191.74,  4885686.13,      49.160325,       -0.362442,  110255.34,  288602.43,       0.00,              117.41,   653.88,      0.00,           67389.93,     24.67,     -2.59,          17.73,  +4.63,  +2.33
  1,     UK002D,       0,  0.040220, 2459521.540900747292,  77.71765, -14.82938,              156.87837,  21.02409,       156.90732,       21.06752,     77.71765,     -14.82938,      77.67925,      -14.79422,  2323791.77,  3558036.77,  4884975.15,      49.165788,       -0.386195,  108781.43,  286880.29,    2369.68,             2252.27,     0.43,  58918.00,           67389.93,   -254.66,     27.07,         184.13,  +3.79,  +1.50
  2,     UK002D,       0,  0.080404, 2459521.540901212487,  77.42776, -15.06838,              157.23308,  20.86338,       157.24109,       20.87538,     77.42776,     -15.06838,      77.41733,      -15.05864,  2324547.39,  3555651.38,  4884188.16,      49.171832,       -0.412488,  107150.54,  284985.47,    4992.73,             4875.32,  -162.34,  65275.89,           67389.93,    -69.95,      7.37,          50.91,  +2.43,  +0.16
  3,     UK002D,       0,  0.120652, 2459521.540901678149,  77.09491, -15.38129,              157.64886,  20.64002,       157.64823,       20.63908,     77.09491,     -15.38129,      77.09609,      -15.38206,  2325459.47,  3552772.06,  4883238.20,      49.179124,       -0.444217,  105182.80,  282714.87,    8158.93,             8041.52,   213.60,  78667.32,           67389.93,      5.45,     -0.57,           4.00,  +1.99,  -0.27
  4,     UK002D,       0,  0.160860, 2459521.540902143810,  76.83625, -15.64486,              157.97582,  20.44547,       157.97708,       20.44735,     76.83625,     -15.64486,      76.83511,      -15.64332,  2326186.55,  3550476.74,  4882480.92,      49.184934,       -0.469565,  103614.83,  280916.53,   10682.94,            10565.53,   -49.88,  62773.74,           67524.96,    -10.83,      1.14,           8.00,  +1.81,  -0.43
  5,     UK002D,       0,  0.201104, 2459521.540902609471,  76.54231, -15.95065,              158.34726,  20.21701,       158.35352,       20.22628,     76.54231,     -15.95065,      76.53476,      -15.94306,  2327010.56,  3547875.45,  4881622.69,      49.191515,       -0.498292,  101838.56,  278892.79,   13543.41,            13426.00,    20.61,  71078.14,           68071.52,    -53.11,      5.58,          39.50,  +1.70,  -0.53
  6,     UK002D,       0,  0.241288, 2459521.540903074667,  76.26691, -16.19158,              158.68210,  20.04600,       158.67554,       20.03631,     76.26691,     -16.19158,      76.27639,      -16.19954,  2327707.12,  3545676.49,  4880897.20,      49.197076,       -0.522619,  100337.60,  277193.07,   15961.45,            15844.04,  -347.17,  60174.21,           67421.28,     55.25,     -5.78,          41.34,  +2.02,  -0.19
  0,     UK002N,       0,  0.037518, 2459521.540900702588,  62.32863, -14.90910,              173.86092,  23.63278,       173.86955,       23.64629,     62.32863,     -14.90910,      62.31949,      -14.89618,  2323730.96,  3558228.76,  4885038.50,      49.165301,       -0.384077,  108912.72,  260454.03,       0.00,             2041.16,   -23.39,      0.00,           68752.99,    -70.68,     -8.16,          56.35,  +3.45,  +1.37
  1,     UK002N,       0,  0.077634, 2459521.540901166853,  61.83199, -15.19417,              174.40336,  23.38011,       174.39382,       23.36526,     61.83199,     -15.19417,      61.84219,      -15.20843,  2324610.24,  3555452.98,  4884122.70,      49.172334,       -0.414646,  107014.93,  258719.76,    3052.34,             5093.49,   247.83,  76087.74,           68752.99,     77.33,      8.98,          62.06,  +1.93,  -0.13
  2,     UK002N,       0,  0.117750, 2459521.540901631117,  61.45429, -15.44297,              174.81566,  23.15398,       174.80772,       23.14169,     61.45429,     -15.44297,      61.46294,      -15.45481,  2325297.76,  3553282.54,  4883406.62,      49.177831,       -0.438603,  105531.59,  257380.70,    5439.03,             7480.18,  -146.58,  59494.75,           68752.99,     63.79,      7.41,          51.46,  +1.45,  -0.60
  3,     UK002N,       0,  0.157886, 2459521.540902095847,  60.97432, -15.74648,              175.33555,  22.87672,       175.32442,       22.85960,     60.97432,     -15.74648,      60.98641,      -15.76304,  2326150.57,  3550590.35,  4882518.40,      49.184647,       -0.468301,  103692.42,  255741.38,    8399.45,            10440.60,    31.35,  73759.73,           68752.99,     88.51,     10.29,          71.87,  +1.16,  -0.88
  4,     UK002N,       0,  0.198006, 2459521.540902560111,  60.46508, -16.04114,              175.88186,  22.60683,       175.85557,       22.56660,     60.46508,     -16.04114,      60.49295,      -16.08018,  2327019.81,  3547846.25,  4881613.06,      49.191589,       -0.498595,  101818.63,  254095.29,   11416.94,            13458.10,   267.46,  75211.73,           70236.94,    206.96,     24.19,         169.14,  +0.92,  -1.10
  5,     UK002N,       0,  0.238126, 2459521.540903024375,  60.18312, -16.26492,              176.18563,  22.39548,       176.17998,       22.38687,     60.18312,     -16.26492,      60.18979,      -16.27329,  2327545.11,  3546187.93,  4881065.94,      49.195783,       -0.516981,  100686.63,  253112.57,   13240.49,            15281.64,  -690.39,  45452.24,           67120.48,     44.18,      5.13,          36.24,  +2.87,  +0.85
  0,     UK0038,       0,  0.028093, 2459521.540900513530,  84.84900, -14.01102,              149.01240,  19.60907,       149.01129,       19.60755,     84.84900,     -14.01102,      84.85046,      -14.01211,  2323726.04,  3558244.26,  4885043.61,      49.165262,       -0.383839,  108923.33,  305096.09,       0.00,             2024.11,   612.97,      0.00,           63044.19,      9.53,     -2.26,           6.62,  +2.51,  +0.09
  1,     UK0038,       0,  0.068229, 2459521.540900978260,  84.68981, -14.23398,              149.24517,  19.44963,       149.24921,       19.45516,     84.68981,     -14.23398,      84.68431,      -14.23002,  2324384.55,  3556165.43,  4884357.76,      49.170530,       -0.406772,  107501.95,  303308.39,    2285.95,             4310.06,   116.42,  56955.03,           63044.19,    -34.60,      8.20,          24.18,  +2.97,  +0.56
  2,     UK0038,       0,  0.108373, 2459521.540901442524,  84.50498, -14.47159,              149.50713,  19.28398,       149.50969,       19.28747,     84.50498,     -14.47159,      84.50171,      -14.46909,  2325098.66,  3553911.09,  4883613.99,      49.176240,       -0.431644,  105961.10,  301377.99,    4764.89,             6789.00,  -187.68,  61751.38,           63044.19,    -21.71,      5.14,          15.27,  +2.15,  -0.25
  3,     UK0038,       0,  0.148533, 2459521.540901907720,  84.28727, -14.74614,              149.81276,  19.09309,       149.81181,       19.09180,     84.28727,     -14.74614,      84.28902,      -14.74707,  2325918.32,  3551323.51,  4882760.29,      49.182791,       -0.460189,  104193.20,  299173.19,    7610.29,             9634.39,  -126.44,  70851.37,           63044.19,      8.02,     -1.90,           5.68,  +1.58,  -0.80
  4,     UK0038,       0,  0.188701, 2459521.540902372450,  84.05393, -15.03524,              150.13729,  18.89242,       150.13104,       18.88392,     84.05393,     -15.03524,      84.06316,      -15.04138,  2326773.85,  3548622.72,  4881869.23,      49.189625,       -0.490000,  102348.75,  296883.98,   10580.17,            12604.27,    58.72,  73936.46,           65961.64,     52.20,    -12.34,          37.26,  +1.80,  -0.56
  5,     UK0038,       0,  0.228849, 2459521.540902837180,  83.88239, -15.28128,              150.38636,  18.71252,       150.38872,       18.71573,     83.88239,     -15.28128,      83.87989,      -15.27896,  2327455.28,  3546471.54,  4881159.51,      49.195066,       -0.513797,  100880.21,  295068.31,   12945.67,            14969.78,  -359.10,  58919.63,           65788.94,    -19.61,      4.64,          14.08,  +1.98,  -0.37
  6,     UK0038,       0,  0.269029, 2459521.540903302375,  83.69374, -15.57129,              150.66575,  18.49560,       150.68481,       18.52136,     83.69374,     -15.57129,      83.66840,      -15.55259,  2328230.53,  3544024.16,  4880352.06,      49.201253,       -0.540866,   99210.11,  293013.08,   15636.89,            17661.00,  -453.42,  66979.11,           65854.88,   -156.57,     37.19,         113.29,  +3.55,  +1.22
  0,     UK003N,       0,  0.043224, 2459521.540900758468,  53.12043, -14.78432,              184.18191,  23.88892,       184.18965,       23.90034,     53.12043,     -14.78432,      53.11370,      -14.77258,  2324007.62,  3557355.35,  4884750.34,      49.167514,       -0.393660,  108315.48,  256595.68,       0.00,             3001.59,   541.52,      0.00,           66065.37,    -58.80,    -12.67,          48.36,  +2.82,  +0.77
  1,     UK003N,       0,  0.083520, 2459521.540901224595,  52.74097, -14.99758,              184.57061,  23.65779,       184.58413,       23.67765,     52.74097,     -14.99758,      52.72942,      -14.97710,  2324617.90,  3555428.77,  4884114.71,      49.172396,       -0.414932,  106998.37,  255629.73,    2118.53,             5120.12,  -133.54,  52574.15,           66065.37,   -102.08,    -21.98,          84.26,  +3.27,  +1.23
  2,     UK003N,       0,  0.123944, 2459521.540901692584,  52.16146, -15.28271,              185.16257,  23.34231,       185.16496,       23.34580,     52.16146,     -15.28271,      52.15976,      -15.27909,  2325514.14,  3552599.45,  4883181.25,      49.179561,       -0.446116,  105064.87,  254236.32,    5229.74,             8231.33,   175.22,  76964.49,           66065.37,    -17.89,     -3.86,          14.84,  +1.41,  -0.62
  3,     UK003N,       0,  0.164300, 2459521.540902159642,  51.66641, -15.52408,              185.66479,  23.07215,       185.65755,       23.06163,     51.66641,     -15.52408,      51.67314,      -15.53500,  2326269.45,  3550215.05,  4882394.58,      49.185596,       -0.472443,  103436.10,  253086.09,    7851.71,            10853.29,    -0.56,  64970.92,           66065.37,     53.75,     11.62,          44.82,  +1.44,  -0.58
  4,     UK003N,       0,  0.204688, 2459521.540902627166,  51.14732, -15.79212,              186.18670,  22.77116,       186.17787,       22.75840,     51.14732,     -15.79212,      51.15553,      -15.80542,  2327063.64,  3547707.88,  4881567.41,      49.191939,       -0.500139,  101724.16,  251900.55,   10608.67,            13610.25,   -43.57,  68261.85,           66758.88,     65.04,     14.06,          54.48,  +1.17,  -0.84
  5,     UK003N,       0,  0.244968, 2459521.540903093293,  50.79169, -15.99764,              186.54030,  22.54150,       186.54247,       22.54461,     50.79169,     -15.99764,      50.79072,      -15.99438,  2327616.46,  3545962.72,  4880991.63,      49.196352,       -0.519480,  100532.92,  251090.36,   12527.71,            15529.30,  -917.00,  47642.53,           64232.41,    -15.85,     -3.42,          13.32,  +2.41,  +0.41

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.