Orbital Analysis for matched events on 20210929_041516.327_UK

Summary for Event
-----------------
shower ID 225 SOR
Lg 86.75° Bg -23.57° Vg 66.73km/s
mass 0.01741g, abs. mag -0.7
Path Details
------------
start -4.20° 51.14° 111.84km
end   -4.31° 51.29° 97.79km

Orbit Details
-------------
Semimajor axis 62.18A.U., eccentricity 0.98, inclination 138.96°, Period 490.33Y, LA Sun 185.95°, last Perihelion 1531-06-15

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: 2459486.677272313274
Time: 2021-09-29 04:15:16.368341 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK0024
 Convergence angle = 38.35847 deg
 R.A. =  86.62948  Dec =  +1.05699 deg
Intersection 2 - Stations: UK0006 and UK003Z
 Convergence angle = 18.34569 deg
 R.A. =  81.33029  Dec =  +1.83406 deg
Intersection 3 - Stations: UK0024 and UK003Z
 Convergence angle = 20.15498 deg
 R.A. =  89.97999  Dec =  -2.50517 deg

Best intersection: Stations UK0006 and UK0024 with Qconv = 38.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1543716.85 +/- 172.84 m
 Y =   3779031.73 +/- 61.39 m
 Z =   5030441.27 +/- 171.89 m
 Vx =     3312.74 +/- 623.50 m/s
 Vy =    67567.39 +/- 218.21 m/s
 Vz =      255.93 +/- 628.00 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.120872e+04, +4.289069e+03, +3.098733e+04, +1.031816e+05, +1.436031e+04, +1.057513e+05
+4.289069e+03, +3.926571e+03, +3.862913e+03, +8.587006e+03, +8.841640e+02, +1.120329e+04
+3.098733e+04, +3.862913e+03, +3.179833e+04, +1.068498e+05, +1.519349e+04, +1.119835e+05
+1.031816e+05, +8.587006e+03, +1.068498e+05, +3.873296e+05, +4.480480e+04, +3.854642e+05
+1.436031e+04, +8.841640e+02, +1.519349e+04, +4.480480e+04, +1.366144e+04, +5.514795e+04
+1.057513e+05, +1.120329e+04, +1.119835e+05, +3.854642e+05, +5.514795e+04, +4.121264e+05

Timing offsets (from input data):
    UK0006: 0.000163 s
    UK0024: 0.000000 s
    UK003Z: -0.000612 s

Reference point on the trajectory:
  Time: 2021-09-29 04:15:16.368341 UTC
  Lon     = +-4.187924 +/- 0.0021 deg
  Lat     = +51.125760 +/- 0.0005 deg
  Lat geo = +50.940872 +/- 0.0006 deg
  Ht      =  113114.56 +/- 191.40 m

  JD dynamic   = 2459486.678073522635 
  LST apparent = 67.7802140428 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  87.19311 +/- 0.5225 deg
  Dec       =  +0.21676 +/- 0.5314 deg
  Azimuth   = 155.57577 +/- 0.4715 deg
  Elevation = +36.50358 +/- 0.6420 deg
  Vavg      =  65.94656 +/- 0.0900 km/s
  Vinit     =  67.64903 +/- 0.1715 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  87.43055 +/- 0.5225 deg
  Dec       =  +0.21644 +/- 0.5314 deg
  Azimuth   = 155.29083 +/- 0.4715 deg
  Elevation = +36.44132 +/- 0.6420 deg
  Vavg      =  66.04609 +/- 0.0900 km/s
  Vinit     =  67.74855 +/- 0.1715 km/s
Radiant (geocentric, J2000):
  R.A.   =  87.01724 +/- 0.5000 deg
  Dec    =  -0.16774 +/- 0.5368 deg
  Vg     =  66.73335 +/- 0.1738 km/s
  Vinf   =  67.64903 +/- 0.1715 km/s
  Zc     =  53.32811 +/- 0.6352 deg
  Zg     =  53.72022 +/- 0.6423 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  86.74544 +/- 0.5270 deg
  Bg     = -23.57174 +/- 0.5499 deg
  Vh     =  41.91429 +/- 0.0957 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  77.43108 +/- 0.8641 deg
  Bh     = -39.54154 +/- 0.9741 deg
  Vh_x   =  -7.03388 +/- 0.5913 km/s
  Vh_y   = -31.54814 +/- 0.3580 km/s
  Vh_z   =  26.68421 +/- 0.5343 km/s
Orbit:
  La Sun = 185.950216 +/- nan deg
  a      =  62.180856 +/- 427.9394 AU
  e      =   0.984863 +/- 0.0084
  i      = 138.955467 +/- 0.8424 deg
  peri   =  28.582089 +/- 1.6839 deg
  node   =   5.952919 +/- 0.0000 deg
  Pi     =  34.535008 +/- 1.6839 deg
  q      =   0.941222 +/- 0.0076 AU
  f      = 331.418827 +/- 1.6838 deg
  M      = 359.960595 +/- nan deg
  Q      = 123.420490 +/- 855.8760 AU
  n      =   0.002010 +/- 0.0013 deg/day
  T      = 490.326856 +/- 339933992.8396 years
  Last perihelion JD = 2280411.277571 (1531-06-15 18:39:42.143989) +/- 218715.1780 days
  Tj     =  -0.820053 +/- 0.0532
Shower association:
  IAU No.  =  225
  IAU code =  SOR

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.010463e-05, -9.396496e-06, -1.313385e+03, +7.875358e-10, +3.032800e-05, +3.008730e-05
q   , -9.396496e-06, +5.812870e-05, +5.521222e+02, -2.718898e-09, -2.286012e-04, -1.073095e-04
Tp  , -1.313385e+03, +5.521222e+02, +4.966401e+10, -4.276975e-02, -1.961342e+03, -1.651965e+03
node, +7.875358e-10, -2.718898e-09, -4.276975e-02, +1.422731e-13, +1.062855e-08, +5.597624e-09
peri, +3.032800e-05, -2.286012e-04, -1.961342e+03, +1.062855e-08, +9.003046e-04, +4.196967e-04
i   , +3.008730e-05, -1.073095e-04, -1.651965e+03, +5.597624e-09, +4.196967e-04, +2.202808e-04

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: UK0024
  Avg. res. = 1.297e-06 s
  Stddev    = 1.14e-03 s

Begin point on the trajectory:
  Lon =    -4.197909 +/- 0.0019 deg
  Lat =    51.139590 +/- 0.0004 deg
  Ht  = 111842.18 +/- 165.05 m
End point on the trajectory:
  Lon =    -4.310554 +/- 0.0011 deg
  Lat =    51.292915 +/- 0.0002 deg
  Ht  = 97794.05 +/- 87.17 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,   110412.59,    97794.05,          0.042855,    133.30,    125.14,              72.62, 0.9108,    True,    True, {"ff_name": "FF_UK0006_20210929_041507_370_0887808.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   111842.18,    97807.63,          0.021142,     53.22,      4.69,              80.68, 0.9738,    True,    True, {"ff_name": "FF_UK0024_20210929_041513_798_0879616.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,  14.915218,   0.000000,   110764.18,   104328.24,          0.048424,    163.27,     76.54,              87.68, 0.9984,    True,   False, {"ff_name": "FF_UK003Z_20210929_041507_337_0887296.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,       1,  0.040149, 2459486.677272778004,  12.76059,   8.42023,              248.91114,  26.08311,       248.84784,       25.99712,     12.76059,      +8.42023,      12.75691,       +8.31719,  1543587.03,  3776383.99,  5030431.25,      51.142899,       -4.200297,  111537.92,  245730.53,       0.00,             2650.94,   773.86,      0.00,           60953.29,    302.44,    322.60,         371.18,  +5.83,  +3.88
  1,     UK0006,       0,  0.080289, 2459486.677273242734,  12.32816,   8.43112,              249.30477,  25.84259,       249.24380,       25.76014,     12.32816,      +8.43112,      12.32491,       +8.33214,  1543494.34,  3774493.46,  5030424.08,      51.155140,       -4.209310,  110412.59,  245243.48,    1892.82,             4543.75,   -48.76,  47155.33,           60953.29,    289.99,    309.27,         356.58,  +2.36,  +0.41
  2,     UK0006,       0,  0.120525, 2459486.677273708396,  11.71356,   8.39899,              249.83107,  25.46102,       249.80244,       25.42256,     11.71356,      +8.39899,      11.71247,       +8.35268,  1543363.44,  3771823.54,  5030413.97,      51.172435,       -4.221982,  108823.92,  244575.01,    4565.96,             7216.90,   -97.54,  66436.65,           60953.29,    135.44,    144.17,         166.82,  +1.90,  -0.04
  3,     UK0006,       0,  0.160721, 2459486.677274173591,  11.08918,   8.41985,              250.39777,  25.11548,       250.36850,       25.07640,     11.08918,      +8.41985,      11.08830,       +8.37265,  1543230.76,  3769117.33,  5030403.72,      51.189972,       -4.234840,  107214.37,  243925.40,    7275.45,             9926.38,  -107.28,  67406.83,           60953.29,    137.66,    146.53,         170.01,  +1.60,  -0.34
  4,     UK0006,       0,  0.200957, 2459486.677274639253,  10.41457,   8.40511,              250.98291,  24.71058,       250.97545,       24.70068,     10.41457,      +8.40511,      10.41504,       +8.39311,  1543088.40,  3766213.80,  5030392.72,      51.208796,       -4.248641,  105488.28,  243259.43,   10182.48,            12833.42,    77.83,  72249.52,           64042.82,     34.91,     37.11,          43.21,  +2.15,  +0.22
  5,     UK0006,       0,  0.241149, 2459486.677275104448,   9.77868,   8.42754,              251.55530,  24.35696,       251.54521,       24.34364,      9.77868,      +8.42754,       9.77921,       +8.41137,  1542954.69,  3763486.57,  5030382.39,      51.226484,       -4.261631,  103867.73,  242664.61,   12913.01,            15563.95,    89.41,  67937.20,           65481.09,     46.95,     49.92,          58.25,  +1.51,  -0.42
  6,     UK0006,       0,  0.281353, 2459486.677275569644,   9.18229,   8.41695,              252.06922,  23.99869,       252.07583,       24.00736,      9.18229,      +8.41695,       9.18376,       +8.42751,  1542830.07,  3760944.86,  5030372.77,      51.242976,       -4.273763,  102358.07,  242137.40,   15457.79,            18108.73,   -85.57,  63296.62,           65760.67,    -30.62,    -32.52,          38.05,  +1.71,  -0.21
  7,     UK0006,       0,  0.321545, 2459486.677276034839,   8.53500,   8.44005,              252.64695,  23.63650,       252.64947,       23.63979,      8.53500,      +8.44005,       8.53645,       +8.44407,  1542695.19,  3758193.77,  5030362.35,      51.260834,       -4.286897,  100724.77,  241594.92,   18212.20,            20863.14,   -50.10,  68531.51,           66107.98,    -11.62,    -12.35,          14.48,  +1.43,  -0.49
  8,     UK0006,       0,  0.361773, 2459486.677276500501,   7.87049,   8.41765,              253.20738,  23.22642,       253.23401,       23.26094,      7.87049,      +8.41765,       7.87302,       +8.45995,  1542557.56,  3755386.70,  5030351.71,      51.279062,       -4.300312,   99059.01,  241072.46,   21022.67,            23673.61,    38.97,  69863.31,           66520.59,   -122.11,   -129.55,         152.33,  +1.85,  -0.06
  9,     UK0006,       0,  0.401897, 2459486.677276964765,   7.36505,   8.46719,              253.67518,  22.96706,       253.67772,       22.97035,      7.36505,      +8.46719,       7.36682,       +8.47122,  1542453.01,  3753254.24,  5030343.64,      51.292915,       -4.310554,   97794.05,  240699.20,   23157.71,            25808.64,  -540.34,  53211.03,           66006.21,    -11.61,    -12.33,          14.52,  +3.25,  +1.34
  0,     UK0024,       1,  0.000000, 2459486.677272313274,   7.79616,  46.35567,              288.19482,  50.44821,       288.14687,       50.42494,      7.79616,     +46.35567,       7.78884,      +46.31761,  1543712.81,  3778949.42,  5030440.96,      51.126292,       -4.188140,  113065.53,  145725.08,       0.00,               82.41,   921.37,      0.00,           60369.41,      8.52,     97.28,         138.21,  +5.54,  +4.72
  1,     UK0024,       0,  0.040468, 2459486.677272781730,   6.63314,  46.43057,              288.91891,  49.78982,       288.89870,       49.78008,      6.63314,     +46.43057,       6.63055,      +46.41441,  1543612.09,  3776895.04,  5030433.18,      51.139590,       -4.197909,  111842.18,  145479.80,    2056.86,             2139.27,   240.60,  50826.81,           60369.41,      3.62,     41.17,          58.60,  +1.92,  +1.11
  2,     UK0024,       0,  0.081056, 2459486.677273251582,   5.11785,  46.54189,              289.87224,  48.94394,       289.84994,       48.93330,      5.11785,     +46.54189,       5.11561,      +46.52388,  1543481.24,  3774226.32,  5030423.07,      51.156871,       -4.210563,  110253.60,  145202.04,    4728.80,             4811.21,   166.81,  65830.82,           60369.41,      4.02,     45.70,          65.17,  +1.64,  +0.83
  3,     UK0024,       0,  0.121624, 2459486.677273720969,   3.66726,  46.62832,              290.75043,  48.12953,       290.72726,       48.11856,      3.66726,     +46.62832,       3.66557,      +46.60942,  1543356.89,  3771689.99,  5030413.47,      51.173300,       -4.222613,  108744.47,  144983.69,    7268.20,             7350.61,   -38.18,  62596.09,           60369.41,      4.21,     47.79,          68.26,  +1.42,  +0.61
  4,     UK0024,       0,  0.162252, 2459486.677274191286,   2.06460,  46.70208,              291.68580,  47.22485,       291.66228,       47.21380,      2.06460,     +46.70208,       2.06360,      +46.68270,  1543220.28,  3768903.55,  5030402.91,      51.191358,       -4.235850,  107087.26,  144794.19,   10058.01,            10140.42,     3.19,  68667.19,           62437.00,      4.31,     48.89,          69.91,  +1.29,  +0.49
  5,     UK0024,       0,  0.202868, 2459486.677274661139,   0.48096,  46.75905,              292.58472,  46.32902,       292.55338,       46.31442,      0.48096,     +46.75905,       0.48032,      +46.73295,  1543085.87,  3766162.08,  5030392.53,      51.209131,       -4.248892,  105457.53,  144660.27,   12802.78,            12885.20,     0.33,  67578.67,           63762.43,      5.78,     65.68,          94.01,  +1.19,  +0.39
  6,     UK0024,       0,  0.243496, 2459486.677275131457, 358.92227,  46.76552,              293.40569,  45.42711,       293.40027,       45.42459,    358.92227,     +46.76552,     358.92316,      +46.76096,  1542954.06,  3763473.83,  5030382.35,      51.226567,       -4.261701,  103860.16,  144579.73,   15494.28,            15576.70,   -56.62,  66247.42,           64501.99,      1.02,     11.47,          16.43,  +0.99,  +0.19
  7,     UK0024,       0,  0.284132, 2459486.677275601774, 357.29603,  46.77540,              294.26503,  44.49382,       294.25606,       44.48970,    357.29603,     +46.77540,     357.29723,      +46.76779,  1542816.63,  3760670.68,  5030371.73,      51.244755,       -4.275066,  102195.26,  144548.89,   18300.82,            18383.24,     0.94,  69065.36,           65190.73,      1.69,     19.13,          27.41,  +1.12,  +0.32
  8,     UK0024,       0,  0.324728, 2459486.677276071627, 355.77313,  46.77290,              295.05566,  43.61918,       295.03253,       43.60861,    355.77313,     +46.77290,     355.77508,      +46.75310,  1542687.97,  3758046.42,  5030361.79,      51.261790,       -4.287605,  100637.31,  144570.01,   20928.25,            21010.67,  -117.92,  64721.34,           65480.63,      4.40,     49.77,          71.28,  +1.21,  +0.41
  9,     UK0024,       0,  0.365388, 2459486.677276542410, 354.09891,  46.73818,              295.88935,  42.64618,       295.86132,       42.63346,    354.09891,     +46.73818,     354.10191,      +46.71397,  1542546.29,  3755156.68,  5030350.84,      51.280556,       -4.301413,   98922.55,  144647.85,   23821.48,            23903.90,    24.70,  71156.66,           65938.31,      5.38,     60.93,          87.23,  +1.63,  +0.83
 10,     UK0024,       0,  0.405812, 2459486.677277010400, 353.01120,  46.71172,              296.42800,  42.01525,       296.38498,       41.99579,    353.01120,     +46.71172,     353.01594,      +46.67435,  1542454.13,  3753277.15,  5030343.72,      51.292767,       -4.310463,   97807.63,  144732.29,   25703.29,            25785.70,  -828.13,  46551.72,           65310.70,      8.30,     94.18,         134.74,  +2.85,  +2.05
  0,     UK003Z,       1,  0.029129, 2459486.677272654604, 357.48819,  26.70582,              275.21422,  31.00661,       275.27046,       31.05546,    357.48819,     +26.70582,     357.48823,      +26.77444,  1543670.85,  3778093.61,  5030437.72,      51.131831,       -4.192261,  112555.86,  213107.02,       0.00,              939.25,  -192.32,      0.00,           68530.73,   -108.38,   -231.08,         247.04,  +5.15,  +3.51
  1,     UK003Z,       0,  0.069593, 2459486.677273123059, 356.57993,  26.73282,              275.90929,  30.45711,       275.93921,       30.48294,    356.57993,     +26.73282,     356.57988,      +26.76932,  1543523.30,  3775084.19,  5030426.32,      51.151315,       -4.206502,  110764.18,  213119.50,    3013.06,             3952.31,    83.38,  74462.62,           68530.73,    -57.59,   -122.96,         131.41,  +2.38,  +0.74
  2,     UK003Z,       0,  0.109993, 2459486.677273590583, 355.82773,  26.72311,              276.45639,  29.97968,       276.48702,       30.00598,    355.82773,     +26.72311,     355.82760,      +26.76045,  1543401.09,  3772591.40,  5030416.88,      51.167461,       -4.218342,  109280.74,  213163.88,    5508.86,             6448.11,  -153.83,  61777.39,           68530.73,    -58.94,   -125.84,         134.46,  +2.13,  +0.49
  3,     UK003Z,       0,  0.150457, 2459486.677274059039, 354.95561,  26.70746,              277.08477,  29.42362,       277.11590,       29.45021,    354.95561,     +26.70746,     354.95535,      +26.74542,  1543259.24,  3769698.21,  5030405.92,      51.186207,       -4.232073,  107559.80,  213250.48,    8405.55,             9344.80,     5.50,  71586.70,           68530.73,    -59.96,   -127.99,         136.71,  +1.70,  +0.06
  4,     UK003Z,       0,  0.190929, 2459486.677274527494, 354.07750,  26.66687,              277.69525,  28.84668,       277.74280,       28.88711,    354.07750,     +26.66687,     354.07649,      +26.72488,  1543116.12,  3766779.23,  5030394.87,      51.205129,       -4.245945,  105824.35,  213377.66,   11328.06,            12267.31,   190.12,  72210.67,           69348.11,    -91.75,   -195.68,         208.92,  +1.37,  -0.28
  5,     UK003Z,       0,  0.231329, 2459486.677274995018, 353.32111,  26.63799,              278.22431,  28.35468,       278.27731,       28.39954,    353.32111,     +26.63799,     353.31964,      +26.70267,  1542992.69,  3764261.70,  5030385.33,      51.221456,       -4.257946,  104328.24,  213520.89,   13848.63,            14787.88,   -22.33,  62390.39,           68588.71,   -102.41,   -218.32,         232.95,  +1.26,  -0.39

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.