Orbital Analysis for matched events on 20210929_015351.469_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 94.85° Bg -20.54° Vg 67.84km/s
mass 0.00480g, abs. mag 0.9
Path Details
------------
start -2.81° 52.45° 115.98km
end   -3.20° 52.55° 105.57km

Orbit Details
-------------
Semimajor axis 14.81A.U., eccentricity 0.93, inclination 144.84°, Period 57.00Y, LA Sun 185.85°, last Perihelion 1964-09-30

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: 2459486.579067934770
Time: 2021-09-29 01:53:51.469564 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0027 and UK003T
 Convergence angle = 73.03265 deg
 R.A. =  94.87933  Dec =  +3.16117 deg
Intersection 2 - Stations: UK0027 and UK003U
 Convergence angle = 73.03129 deg
 R.A. =  94.86780  Dec =  +2.86181 deg
Intersection 3 - Stations: UK003T and UK003U
 Convergence angle = 0.28654 deg
 R.A. =   4.11421  Dec = +19.15910 deg

Best intersection: Stations UK0027 and UK003T with Qconv = 73.03 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3299081.67 +/- 63.47 m
 Y =   2200836.74 +/- 19.94 m
 Z =   5125692.43 +/- 31.47 m
 Vx =    -5419.08 +/- 258.70 m/s
 Vy =    68420.01 +/- 317.93 m/s
 Vz =     3891.11 +/- 146.22 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.316642e+03, +2.341792e+02, +1.772399e+03, +1.717244e+04, +8.931131e+03, +7.917151e+03
+2.341792e+02, +4.255727e+02, +1.028423e+02, +6.038153e+02, +4.745829e+03, +7.406026e+02
+1.772399e+03, +1.028423e+02, +1.062346e+03, +6.861949e+03, +4.799436e+03, +4.274845e+03
+1.717244e+04, +6.038153e+02, +6.861949e+03, +8.079742e+04, +2.314551e+04, +3.421645e+04
+8.931131e+03, +4.745829e+03, +4.799436e+03, +2.314551e+04, +9.991567e+04, +2.212861e+04
+7.917151e+03, +7.406026e+02, +4.274845e+03, +3.421645e+04, +2.212861e+04, +1.962625e+04

Timing offsets (from input data):
    UK0027: 0.000003 s
    UK003T: 0.000000 s
    UK003U: 0.000008 s

Reference point on the trajectory:
  Time: 2021-09-29 01:53:51.469564 UTC
  Lon     = +-2.810111 +/- 0.0005 deg
  Lat     = +52.453248 +/- 0.0003 deg
  Lat geo = +52.270471 +/- 0.0003 deg
  Ht      =  115979.95 +/- 56.21 m

  JD dynamic   = 2459486.579868675675 
  LST apparent = 33.7074855130 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  94.52855 +/- 0.2362 deg
  Dec       =  +3.24482 +/- 0.1078 deg
  Azimuth   = 111.95727 +/- 0.1510 deg
  Elevation = +19.96900 +/- 0.2165 deg
  Vavg      =  68.12005 +/- 0.0224 km/s
  Vinit     =  68.74449 +/- 0.3018 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  94.64582 +/- 0.2362 deg
  Dec       =  +3.23295 +/- 0.1078 deg
  Azimuth   = 111.86178 +/- 0.1510 deg
  Elevation = +19.89291 +/- 0.2165 deg
  Vavg      =  68.37228 +/- 0.0224 km/s
  Vinit     =  68.99673 +/- 0.3018 km/s
Radiant (geocentric, J2000):
  R.A.   =  94.54503 +/- 0.2387 deg
  Dec    =  +2.81982 +/- 0.1104 deg
  Vg     =  67.84393 +/- 0.3059 km/s
  Vinf   =  68.74449 +/- 0.3018 km/s
  Zc     =  69.96275 +/- 0.2169 deg
  Zg     =  70.49141 +/- 0.2206 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  94.84846 +/- 0.2582 deg
  Bg     = -20.54141 +/- 0.1028 deg
  Vh     =  41.36560 +/- 0.2862 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  93.14850 +/- 0.4820 deg
  Bh     = -35.12989 +/- 0.2333 deg
  Vh_x   =   1.85812 +/- 0.2735 km/s
  Vh_y   = -33.77978 +/- 0.3158 km/s
  Vh_z   =  23.80309 +/- 0.1220 km/s
Orbit:
  La Sun = 185.853782 +/- 0.0000 deg
  a      =  14.811502 +/- 3.2530 AU
  e      =   0.932466 +/- 0.0265
  i      = 144.839978 +/- 0.2269 deg
  peri   =   4.587667 +/- 0.8300 deg
  node   =   5.856445 +/- 0.0000 deg
  Pi     =  10.444112 +/- 0.8300 deg
  q      =   1.000286 +/- 0.0005 AU
  f      = 355.413870 +/- 0.8300 deg
  M      = 359.942040 +/- 0.0379 deg
  Q      =  28.622717 +/- 6.5061 AU
  n      =   0.017290 +/- 0.0120 deg/day
  T      =  57.003206 +/- 16.5670 years
  Last perihelion JD = 2438669.148472 (1964-09-30 15:33:48.020905) +/- 6051.1110 days
  Tj     =  -0.645142 +/- 0.1467
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.539551e-04, -1.613427e-06, -1.712956e+02, +3.649164e-09, +6.448580e-05, +7.909152e-05
q   , -1.613427e-06, +2.274634e-07, +4.336665e-01, -6.493299e-11, -7.108562e-06, -1.402193e-06
Tp  , -1.712956e+02, +4.336665e-01, +3.922668e+07, -8.588097e-04, -1.650908e+01, -1.861521e+01
node, +3.649164e-09, -6.493299e-11, -8.588097e-04, +3.592085e-14, +2.047325e-09, +7.767442e-10
peri, +6.448580e-05, -7.108562e-06, -1.650908e+01, +2.047325e-09, +2.247285e-04, +4.421691e-05
i   , +7.909152e-05, -1.402193e-06, -1.861521e+01, +7.767442e-10, +4.421691e-05, +1.679647e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 6.028254
 a2 = 7.496990

Mean time residuals from time vs. length:
  Station with reference time: UK003T
  Avg. res. = 3.664e-06 s
  Stddev    = 1.91e-03 s

Begin point on the trajectory:
  Lon =    -2.810160 +/- 0.0005 deg
  Lat =    52.453260 +/- 0.0003 deg
  Ht  = 115978.64 +/- 55.96 m
End point on the trajectory:
  Lon =    -3.199588 +/- 0.0007 deg
  Lat =    52.547873 +/- 0.0002 deg
  Ht  = 105570.20 +/- 55.30 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
    UK0027,   False,    -2.374601,    51.371449,   48.00,   5.879282,   8.998558,   115103.09,   106705.72,          0.025459,     61.52,     47.14,             100.11, 0.9692,    True,    True, {"ff_name": "FF_UK0027_20210929_015347_849_0668416.fits"}
    UK003T,   False,    -1.740490,    53.069201,  240.00,   6.046300,   9.242431,   115978.64,   105570.20,          0.008848,     19.37,     13.78,              89.95, 1.0000,    True,   False, {"ff_name": "FF_UK003T_20210929_015348_285_0668672.fits"}
    UK003U,   False,    -1.740490,    53.069201,  240.00,   0.000000,   0.000000,   115817.83,   110342.97,          0.021387,     46.77,     33.24,              89.95, 1.0000,    True,   False, {"ff_name": "FF_UK003U_20210929_015348_360_0669696.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,     UK0027,       0,  0.035312, 2459486.579068159685, 265.98938,  76.06615,              345.30644,  41.70959,       345.31333,       41.70351,    265.98938,     +76.06615,     265.95672,      +76.06495,  3299284.14,  2198280.30,  5125547.05,      52.461211,       -2.842551,  115103.09,  171058.85,       0.00,             2568.56,   174.47,      0.00,           67366.30,     14.47,    -18.88,          28.68,  +4.57,  +3.40
  1,     UK0027,       0,  0.075716, 2459486.579068627208, 266.30487,  75.21429,              344.48255,  41.11796,       344.44547,       41.15036,    266.30487,     +75.21429,     266.47099,      +75.22046,  3299488.37,  2195701.74,  5125400.40,      52.469237,       -2.875378,  114219.53,  171553.75,    2590.79,             5159.35,   -12.29,  64122.14,           67366.30,    -78.01,    101.59,         154.00,  +3.69,  +2.52
  2,     UK0027,       0,  0.116084, 2459486.579069094267, 266.99362,  74.28621,              343.49875,  40.53490,       343.50309,       40.53116,    266.99362,     +74.28621,     266.97576,      +74.28554,  3299715.71,  2192831.46,  5125237.17,      52.478163,       -2.911925,  113237.07,  172148.89,    5474.68,             8043.25,    96.52,  71440.07,           67366.30,      9.12,    -11.90,          17.96,  +2.41,  +1.23
  3,     UK0027,       0,  0.156476, 2459486.579069561791, 267.28635,  73.43300,              342.68806,  39.94194,       342.66322,       39.96314,    267.28635,     +73.43300,     267.38605,      +73.43666,  3299923.26,  2190210.99,  5125088.14,      52.486305,       -2.945328,  112341.09,  172733.02,    8107.58,            10676.15,   -47.31,  65183.68,           67366.30,    -52.31,     68.17,         102.60,  +2.61,  +1.42
  4,     UK0027,       0,  0.196836, 2459486.579070028849, 267.86132,  72.51099,              341.74241,  39.35180,       341.76165,       39.33558,    267.86132,     +72.51099,     267.78934,      +72.50835,  3300151.78,  2187325.77,  5124924.05,      52.495260,       -2.982114,  111355.66,  173420.19,   11006.48,            13575.05,    77.07,  71826.06,           68175.15,     40.51,    -52.90,          79.24,  +2.98,  +1.78
  5,     UK0027,       0,  0.237188, 2459486.579070495907, 268.13929,  71.71066,              340.98929,  38.79863,       340.99896,       38.79055,    268.13929,     +71.71066,     268.10522,      +71.70939,  3300349.71,  2184826.68,  5124781.93,      52.503011,       -3.014020,  110503.02,  174052.89,   13517.42,            16085.99,  -185.97,  62225.92,           67557.09,     20.41,    -26.64,          39.77,  +2.71,  +1.51
  6,     UK0027,       0,  0.277616, 2459486.579070963897, 268.53530,  70.70568,              340.03526,  38.11442,       340.05597,       38.09730,    268.53530,     +70.70568,     268.46527,      +70.70310,  3300601.17,  2181651.81,  5124601.37,      52.512847,       -3.054537,  109421.05,  174904.95,   16707.35,            19275.92,   224.76,  78903.94,           68553.63,     43.86,    -57.28,          85.08,  +2.83,  +1.62
  7,     UK0027,       0,  0.317920, 2459486.579071430489, 268.71613,  70.02455,              339.42090,  37.63228,       339.42906,       37.62558,    268.71613,     +70.02455,     268.69029,      +70.02356,  3300772.08,  2179493.90,  5124478.65,      52.519527,       -3.082147,  108686.41,  175516.04,   18875.50,            21444.06,  -377.78,  53794.77,           67741.19,     17.33,    -22.62,          33.48,  +4.41,  +3.19
  8,     UK0027,       0,  0.358320, 2459486.579071898013, 268.91716,  69.13465,              338.63663,  36.99372,       338.62327,       37.00459,    268.91716,     +69.13465,     268.96113,      +69.13621,  3300997.25,  2176651.01,  5124316.97,      52.528320,       -3.118491,  107719.56,  176357.88,   21731.86,            24300.43,  -298.69,  70702.17,           67559.40,    -28.54,     37.23,          54.86,  +4.10,  +2.87
  9,     UK0027,       0,  0.398668, 2459486.579072365072, 269.34608,  68.21824,              337.75808,  36.38722,       337.79988,       36.35354,    269.34608,     +68.21824,     269.21994,      +68.21367,  3301233.64,  2173666.45,  5124147.23,      52.537542,       -3.156664,  106705.72,  177287.08,   24730.58,            27299.14,   -73.68,  74321.22,           67835.42,     89.50,   -117.03,         171.41,  +5.07,  +3.83
  0,     UK003T,       0,  0.000000, 2459486.579067934770,   4.02153,  19.15377,              226.91770,  48.59336,       226.91795,       48.59363,      4.02153,     +19.15377,       4.02148,      +19.15408,  3299081.97,  2200832.90,  5125692.22,      52.453260,       -2.810160,  115978.64,  153258.79,       0.00,                3.85,    37.27,      0.00,           67575.44,     -0.48,     -0.68,           1.12,  +3.60,  +2.67
  1,     UK003T,       0,  0.040736, 2459486.579068406485,   2.92682,  19.09071,              228.24663,  48.05209,       228.24760,       48.05314,      2.92682,     +19.09071,       2.92688,      +19.09193,  3299299.65,  2198084.48,  5125535.91,      52.461821,       -2.845119,  115035.96,  153261.11,    2761.46,             2765.31,    -1.65,  67789.18,           67575.44,     -1.91,     -2.68,           4.43,  +2.49,  +1.56
  2,     UK003T,       0,  0.081504, 2459486.579068878200,   1.77518,  19.02300,              229.61960,  47.47096,       229.61684,       47.46808,      1.77518,     +19.02300,       1.77574,      +19.01957,  3299528.89,  2195190.14,  5125371.31,      52.470829,       -2.881951,  114044.33,  153317.40,    5669.53,             5673.38,   103.85,  71332.15,           67575.44,      5.33,      7.49,          12.37,  +1.88,  +0.95
  3,     UK003T,       0,  0.122164, 2459486.579069348983,   0.77195,  18.96824,              230.79902,  46.96000,       230.78466,       46.94535,      0.77195,     +18.96824,       0.77383,      +18.95067,  3299728.69,  2192667.52,  5125227.84,      52.478673,       -2.914096,  113180.99,  153412.47,    8204.11,             8207.96,  -156.73,  62335.93,           67575.44,     27.35,     38.45,          63.44,  +2.16,  +1.23
  4,     UK003T,       0,  0.162904, 2459486.579069820233, 359.65795,  18.88144,              232.06892,  46.36130,       232.05756,       46.34999,    359.65795,     +18.88144,     359.65978,      +18.86772,  3299951.50,  2189854.41,  5125067.86,      52.487412,       -2.949946,  112219.24,  153567.42,   11030.56,            11034.41,  -130.92,  69377.85,           67538.14,     21.39,     30.07,          49.56,  +2.18,  +1.25
  5,     UK003T,       0,  0.203656, 2459486.579070291948, 358.53545,  18.77360,              233.31178,  45.73177,       233.31483,       45.73475,    358.53545,     +18.77360,     358.53593,      +18.77725,  3300177.04,  2187006.75,  5124905.91,      52.496250,       -2.986259,  111246.77,  153777.33,   13891.72,            13895.58,   -71.24,  70209.10,           67909.32,     -5.70,     -8.00,          13.17,  +2.03,  +1.10
  6,     UK003T,       0,  0.244436, 2459486.579070764128, 357.35512,  18.66361,              234.59810,  45.06392,       234.60762,       45.07300,    357.35512,     +18.66361,     357.35499,      +18.67485,  3300415.11,  2184000.98,  5124734.97,      52.505570,       -3.024607,  110221.50,  154056.27,   16911.75,            16915.60,   145.39,  74056.53,           68701.43,    -17.62,    -24.74,          40.66,  +2.05,  +1.11
  7,     UK003T,       0,  0.285104, 2459486.579071234912, 356.32810,  18.57358,              235.70290,  44.48063,       235.70812,       44.48551,    356.32810,     +18.57358,     356.32862,      +18.57969,  3300622.94,  2181376.95,  5124585.74,      52.513699,       -3.058129,  109327.44,  154348.82,   19548.22,            19552.08,   -13.84,  64829.27,           68709.11,     -9.59,    -13.47,          22.10,  +2.44,  +1.50
  8,     UK003T,       0,  0.325856, 2459486.579071706161, 355.17161,  18.45639,              236.91536,  43.80288,       236.92338,       43.81026,    355.17161,     +18.45639,     355.17189,      +18.46572,  3300858.58,  2178401.85,  5124416.54,      52.522906,       -3.096140,  108314.90,  154733.68,   22537.43,            22541.28,   173.89,  73351.14,           69022.32,    -14.69,    -20.63,          33.75,  +2.77,  +1.82
  9,     UK003T,       0,  0.366452, 2459486.579072176013, 354.23487,  18.37471,              237.89209,  43.25961,       237.88652,       43.25457,    354.23487,     +18.37471,     354.23713,      +18.36828,  3301050.02,  2175984.71,  5124279.07,      52.530380,       -3.127073,  107493.12,  155089.64,   24966.04,            24969.89,  -188.25,  59823.88,           68681.81,     10.15,     14.27,          23.29,  +3.60,  +2.65
 10,     UK003T,       1,  0.406972, 2459486.579072645400, 353.42563,  18.29272,              238.71696,  42.77682,       238.70605,       42.76707,    353.42563,     +18.29272,     353.42884,      +18.28019,  3301216.40,  2173884.02,  5124159.61,      52.536870,       -3.153993,  106779.55,  155430.32,   27076.69,            27080.54,  -863.13,  52088.99,           67746.09,     19.84,     27.89,          45.42,  +5.72,  +4.76
 11,     UK003T,       0,  0.447848, 2459486.579073118512, 352.06896,  18.11835,              240.05148,  41.92902,       240.05693,       41.93381,    352.06896,     +18.11835,     352.06999,      +18.12458,  3301498.73,  2170319.48,  5123956.89,      52.547873,       -3.199588,  105570.20,  156067.64,   30658.13,            30661.99,   -91.68,  87617.39,           67972.74,     -9.91,    -13.92,          22.59,  +3.54,  +2.57
  0,     UK003U,       0,  0.006712, 2459486.579068017658,   3.83529,  19.13540,              227.14001,  48.49522,       227.14668,       48.50255,      3.83529,     +19.13540,       3.83477,      +19.14394,  3299119.09,  2200364.28,  5125665.56,      52.454720,       -2.816120,  115817.83,  153255.67,       0.00,              474.70,    46.68,      0.00,           65934.29,    -13.28,    -18.65,          30.81,  +3.48,  +2.55
  1,     UK003U,       0,  0.046120, 2459486.579068473540,   2.59268,  19.08424,              228.65689,  47.89615,       228.64698,       47.88560,      2.59268,     +19.08424,       2.59370,      +19.07180,  3299366.08,  2197245.78,  5125488.21,      52.464432,       -2.855764,  114748.50,  153270.87,    3133.29,             3607.99,   470.89,  79509.00,           65934.29,     19.32,     27.16,          44.85,  +2.78,  +1.85
  2,     UK003U,       0,  0.085716, 2459486.579068932217,   1.70093,  19.01740,              229.70641,  47.43206,       229.70417,       47.42973,      1.70093,     +19.01740,       1.70146,      +19.01463,  3299543.66,  2195003.67,  5125360.70,      52.471409,       -2.884333,  113980.49,  153323.23,    5386.03,             5860.73,     1.62,  56893.20,           65934.29,      4.31,      6.06,          10.01,  +2.60,  +1.67
  3,     UK003U,       0,  0.125244, 2459486.579069389496,   0.69269,  18.95594,              230.88568,  46.91237,       230.87669,       46.90321,      0.69269,     +18.95594,       0.69407,      +18.94495,  3299744.61,  2192466.53,  5125216.41,      52.479297,       -2.916659,  113112.23,  153421.89,    7935.21,             8409.91,  -166.53,  64490.41,           65934.29,     17.12,     24.06,          39.70,  +3.04,  +2.11
  4,     UK003U,       0,  0.164704, 2459486.579069846310, 359.52015,  18.86734,              232.22204,  46.28373,       232.21347,       46.27522,    359.52015,     +18.86734,     359.52171,      +18.85701,  3299979.21,  2189504.50,  5125047.96,      52.488498,       -2.954395,  112099.69,  153589.92,   10911.29,            11385.99,    96.89,  75420.11,           67382.94,     16.11,     22.64,          37.32,  +2.06,  +1.13
  5,     UK003U,       0,  0.204248, 2459486.579070304055, 358.58498,  18.83250,              233.29689,  45.80634,       233.25439,       45.76491,    358.58498,     +18.83250,     358.59050,      +18.78176,  3300166.02,  2187145.96,  5124913.83,      52.495818,       -2.984496,  111294.28,  153766.30,   13281.01,            13755.71,  -251.82,  59926.18,           66730.95,     79.17,    111.45,         183.38,  +2.68,  +1.75
  6,     UK003U,       0,  0.243776, 2459486.579070761334, 357.49211,  18.69912,              234.46664,  45.16137,       234.45661,       45.15178,    357.49211,     +18.69912,     357.49427,      +18.68726,  3300386.89,  2184357.29,  5124755.23,      52.504466,       -3.020079,  110342.97,  154020.85,   16082.90,            16557.60,  -167.27,  70883.68,           66943.25,     18.56,     26.09,          42.88,  +2.54,  +1.60

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.