Orbital Analysis for matched events on 20211103_210032.364_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 112.98° Bg 36.64° Vg 59.72km/s
mass 0.19151g, abs. mag -2.5
best visual mag 0.2
Path Details
------------
start -3.49° 51.78° 111.62km
end   -3.69° 51.54° 96.34km

Orbit Details
-------------
Semimajor axis 23.17A.U., eccentricity 0.96, inclination 113.42°, Period 111.50Y, LA Sun 221.36°, last Perihelion 1910-06-02

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: 2459522.375374584459
Time: 2021-11-03 21:00:32.404009 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK0035
 Convergence angle = 18.23574 deg
 R.A. = 126.32653  Dec = +58.65092 deg
Intersection 2 - Stations: UK000S and UK003Y
 Convergence angle = 89.49724 deg
 R.A. = 124.88355  Dec = +57.27547 deg
Intersection 3 - Stations: UK0035 and UK003Y
 Convergence angle = 71.26864 deg
 R.A. = 125.71923  Dec = +57.02065 deg

Best intersection: Stations UK000S and UK003Y with Qconv = 89.50 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4007438.03 +/- 40.42 m
 Y =   -350561.42 +/- 103.95 m
 Z =   5077515.31 +/- 135.76 m
 Vx =   -18731.74 +/- 71.13 m/s
 Vy =    26482.73 +/- 373.24 m/s
 Vz =    51358.53 +/- 283.37 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.764516e+03, +9.478249e+02, -2.700737e+03, +3.310737e+03, +4.271162e+03, -3.826594e+02
+9.478249e+02, +1.152874e+04, -1.246539e+04, -5.141509e+03, +3.782047e+04, -7.400915e+03
-2.700737e+03, -1.246539e+04, +1.963770e+04, +7.334900e+03, -5.014132e+04, +9.590827e+03
+3.310737e+03, -5.141509e+03, +7.334900e+03, +1.858304e+04, -2.591990e+04, +6.518866e+03
+4.271162e+03, +3.782047e+04, -5.014132e+04, -2.591990e+04, +1.465403e+05, -2.851846e+04
-3.826594e+02, -7.400915e+03, +9.590827e+03, +6.518866e+03, -2.851846e+04, +6.742996e+03

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK0035: -0.000311 s
    UK003Y: -0.000578 s

Reference point on the trajectory:
  Time: 2021-11-03 21:00:32.404009 UTC
  Lon     = +-3.469821 +/- 0.0015 deg
  Lat     = +51.795336 +/- 0.0009 deg
  Lat geo = +51.611417 +/- 0.0009 deg
  Ht      =  112906.50 +/- 102.54 m

  JD dynamic   = 2459522.376175787300 
  LST apparent = 355.0006239292 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 125.27250 +/- 0.3306 deg
  Dec       = +57.72366 +/- 0.3125 deg
  Azimuth   =  27.15974 +/- 0.3306 deg
  Elevation = +26.80122 +/- 0.2047 deg
  Vavg      =  60.00318 +/- 0.0523 km/s
  Vinit     =  60.74464 +/- 0.1259 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 124.93987 +/- 0.3306 deg
  Dec       = +57.54509 +/- 0.3125 deg
  Azimuth   =  27.43487 +/- 0.3306 deg
  Elevation = +26.74411 +/- 0.2047 deg
  Vavg      =  60.12329 +/- 0.0523 km/s
  Vinit     =  60.86475 +/- 0.1259 km/s
Radiant (geocentric, J2000):
  R.A.   = 125.42605 +/- 0.3318 deg
  Dec    = +57.28464 +/- 0.3124 deg
  Vg     =  59.72312 +/- 0.1280 km/s
  Vinf   =  60.74464 +/- 0.1259 km/s
  Zc     =  63.36245 +/- 0.2044 deg
  Zg     =  63.96214 +/- 0.2044 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 112.98107 +/- 0.1476 deg
  Bg     = +36.63928 +/- 0.3402 deg
  Vh     =  41.83777 +/- 0.0416 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.16403 +/- 0.3643 deg
  Bh     = +58.41802 +/- 0.5058 deg
  Vh_x   =  -1.46586 +/- 0.1292 km/s
  Vh_y   = -21.86210 +/- 0.3094 km/s
  Vh_z   = -35.64125 +/- 0.2123 km/s
Orbit:
  La Sun = 221.363287 +/- 0.0000 deg
  a      =  23.165703 +/- 2.9796 AU
  e      =   0.963207 +/- 0.0033
  i      = 113.422135 +/- 0.5032 deg
  peri   = 224.508072 +/- 0.5762 deg
  node   = 221.362849 +/- 0.0000 deg
  Pi     =  85.870921 +/- 0.5762 deg
  q      =   0.852329 +/- 0.0033 AU
  f      = 315.492162 +/- 0.5762 deg
  M      = 359.751183 +/- 0.0323 deg
  Q      =  45.479078 +/- 5.9582 AU
  n      =   0.008840 +/- 0.0011 deg/day
  T      = 111.498462 +/- 23.7793 years
  Last perihelion JD = 2418825.001408 (1910-06-02 12:02:01.617164) +/- 8685.6818 days
  Tj     =  -0.226139 +/- 0.0175
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.180361e-05, +3.634627e-06, -3.040907e+01, -4.237114e-09, -7.597090e-04, -9.429455e-04
q   , +3.634627e-06, +1.176807e-05, -9.003909e+00, -6.499406e-09, -2.038468e-03, -1.436870e-03
Tp  , -3.040907e+01, -9.003909e+00, +8.079621e+07, +1.088202e-02, +1.893225e+03, +2.423044e+03
node, -4.237114e-09, -6.499406e-09, +1.088202e-02, +5.532409e-12, +1.151907e-06, +1.223913e-06
peri, -7.597090e-04, -2.038468e-03, +1.893225e+03, +1.151907e-06, +3.546972e-01, +2.547365e-01
i   , -9.429455e-04, -1.436870e-03, +2.423044e+03, +1.223913e-06, +2.547365e-01, +2.707810e-01

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: UK000S
  Avg. res. = 3.808e-06 s
  Stddev    = 1.95e-03 s

Begin point on the trajectory:
  Lon =    -3.486425 +/- 0.0013 deg
  Lat =    51.775260 +/- 0.0007 deg
  Ht  = 111616.61 +/- 89.87 m
End point on the trajectory:
  Lon =    -3.685835 +/- 0.0014 deg
  Lat =    51.535471 +/- 0.0004 deg
  Ht  = 96337.25 +/- 33.04 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   111616.61,   104055.69,          0.018309,     42.14,     44.56,              64.43, 0.8136,    True,   False, {"ff_name": "FF_UK000S_20211103_210027_863_0339968.fits"}
    UK0035,   False,     1.010397,    52.949859,   25.00,   0.000000,   0.000000,   108227.10,    96337.25,          0.016979,     93.95,     50.42,             120.48, 0.7426,    True,    True, {"ff_name": "FF_UK0035_20211103_210028_316_0365056.fits"}
    UK003Y,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   105273.87,    97742.15,          0.013981,     70.84,     64.25,             129.16, 0.6012,    True,    True, {"ff_name": "FF_UK003Y_20211103_210032_276_0346624.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,     UK000S,       1,  0.000000, 2459522.375374584459, 260.35540,  52.19570,              312.13902,  34.75616,       312.15992,       34.69392,    260.35540,     +52.19570,     260.25982,      +52.16860,  4007446.42,  -350573.28,  5077492.32,      51.795145,       -3.469813,  112894.24,  194837.21,       0.00,               27.20,  -343.90,      0.00,           69318.95,    159.37,   -151.03,         232.44,  +5.27,  +3.82
  1,     UK000S,       0,  0.039924, 2459522.375375046395, 260.72903,  51.46838,              311.28367,  34.46170,       311.27455,       34.48796,    260.72903,     +51.46838,     260.76913,      +51.47967,  4008320.53,  -351809.09,  5075095.68,      51.775260,       -3.486425,  111616.61,  193624.72,    2834.63,             2861.83,    65.57,  71000.77,           69318.95,    -67.12,     63.38,          98.34,  +4.34,  +2.91
  2,     UK000S,       0,  0.079736, 2459522.375375507399, 261.30978,  50.67969,              310.27013,  34.22745,       310.26420,       34.24396,    261.30978,     +50.67969,     261.33494,      +50.68669,  4009310.67,  -353208.94,  5072380.93,      51.752722,       -3.505210,  110170.58,  192291.70,    6045.53,             6072.72,   858.09,  80651.32,           69318.95,    -42.01,     39.68,          61.98,  +3.44,  +2.02
  3,     UK000S,       0,  0.119572, 2459522.375375968404, 261.74942,  50.17631,              309.58777,  34.11303,       309.60059,       34.07806,    261.74942,     +50.17631,     261.69768,      +50.16163,  4009955.96,  -354121.24,  5070611.68,      51.738027,       -3.517505,  109228.83,  191449.62,    8138.12,             8165.32,   530.86,  52530.19,           69318.95,     88.68,    -83.94,         131.55,  +2.84,  +1.43
  4,     UK000S,       0,  0.159504, 2459522.375376430340, 262.00726,  49.67695,              309.00019,  33.91378,       308.99663,       33.92331,    262.00726,     +49.67695,     262.02207,      +49.68092,  4010540.37,  -354947.48,  5069009.34,      51.724714,       -3.528653,  108376.37,  190704.40,   10033.30,            10060.50,     0.38,  47460.15,           63637.57,    -24.13,     22.80,          35.91,  +1.73,  +0.33
  5,     UK000S,       0,  0.199372, 2459522.375376891810, 262.38300,  49.12103,              308.30112,  33.73611,       308.29947,       33.74043,    262.38300,     +49.12103,     262.39020,      +49.12282,  4011212.41,  -355897.59,  5067166.76,      51.709398,       -3.541442,  107396.64,  189866.17,   12212.62,            12239.82,  -242.06,  54663.46,           60733.69,    -10.92,     10.32,          16.33,  +1.28,  -0.11
  6,     UK000S,       0,  0.239220, 2459522.375377353281, 262.83013,  48.40367,              307.41822,  33.48944,       307.41350,       33.50147,    262.83013,     +48.40367,     262.84871,      +48.40858,  4012062.89,  -357099.99,  5064834.92,      51.690008,       -3.557576,  106157.61,  188834.21,   14970.61,            14997.81,    95.38,  69212.90,           60604.93,    -30.32,     28.64,          45.56,  +0.77,  -0.61
  7,     UK000S,       0,  0.279072, 2459522.375377814285, 263.23610,  47.77332,              306.63551,  33.28029,       306.63375,       33.28469,    263.23610,     +47.77332,     263.24363,      +47.77510,  4012807.51,  -358152.73,  5062793.33,      51.673023,       -3.571717,  105073.54,  187960.34,   17385.32,            17412.52,    89.30,  60591.91,           60550.20,    -11.05,     10.44,          16.68,  +0.55,  -0.82
  8,     UK000S,       0,  0.318932, 2459522.375378275756, 263.60986,  47.17381,              305.89753,  33.07602,       305.89810,       33.07463,    263.60986,     +47.17381,     263.60920,      +47.17325,  4013507.08,  -359141.77,  5060875.26,      51.657059,       -3.585006,  104055.69,  187164.61,   19653.94,            19681.14,   -63.37,  56914.58,           60282.33,      3.49,     -3.30,           5.29,  +0.40,  -0.96
  0,     UK0035,       1,  0.087861, 2459522.375375604723, 296.45969,   0.89771,              248.41156,  16.60725,       248.43346,       16.58992,    296.45969,      +0.89771,     296.43297,       +0.89512,  4009161.50,  -352998.05,  5072789.92,      51.756118,       -3.502441,  110388.34,  355299.88,       0.00,             5589.00,  -119.18,      0.00,           62744.47,     79.64,   -148.81,          97.98,  +4.87,  +2.12
  1,     UK0035,       0,  0.168337, 2459522.375376536045, 296.45256,   0.23450,              248.03103,  16.05358,       247.99780,       16.07989,    296.45256,      +0.23450,     296.49444,       +0.23848,  4010642.74,  -355092.20,  5068728.68,      51.722381,       -3.530614,  108227.10,  357814.54,    4803.46,            10392.45,  -204.20,  59688.09,           62744.47,   -122.24,    227.64,         148.95,  +3.68,  +0.91
  2,     UK0035,       0,  0.208545, 2459522.375377001707, 296.53510,  -0.10254,              247.76414,  15.82002,       247.77178,       15.81398,    296.53510,      -0.10254,     296.52650,       -0.10345,  4011422.45,  -356194.54,  5066590.88,      51.704611,       -3.545426,  107090.56,  359156.53,    7331.95,            12920.94,  -118.13,  62885.23,           62744.47,     28.17,    -52.59,          34.26,  +3.13,  +0.35
  3,     UK0035,       0,  0.248825, 2459522.375377467833, 296.52693,  -0.48716,              247.54858,  15.49611,       247.52094,       15.51795,    296.52693,      -0.48716,     296.56225,       -0.48385,  4012296.80,  -357430.69,  5064193.59,      51.684673,       -3.562008,  105817.00,  360675.44,   10167.36,            15756.36,   270.49,  70392.65,           62744.47,   -102.55,    191.03,         123.99,  +1.80,  -0.99
  4,     UK0035,       0,  0.288997, 2459522.375377932563, 296.60177,  -0.77212,              247.31962,  15.30098,       247.33066,       15.29228,    296.60177,      -0.77212,     296.58929,       -0.77343,  4012967.42,  -358378.81,  5062354.88,      51.669375,       -3.574759,  104840.82,  361853.52,   12342.10,            17931.10,     4.99,  54135.69,           62103.78,     41.00,    -76.55,          49.50,  +1.50,  -1.29
  5,     UK0035,       0,  0.329197, 2459522.375378398225, 296.61872,  -1.06419,              247.13687,  15.06756,       247.13978,       15.06526,    296.61872,      -1.06419,     296.61648,       -1.06454,  4013646.01,  -359338.19,  5060494.33,      51.653888,       -3.587656,  103853.62,  363054.92,   14542.68,            20131.68,  -236.36,  54740.73,           61029.93,     10.88,    -20.31,          13.09,  +1.34,  -1.46
  6,     UK0035,       0,  0.369461, 2459522.375378863886, 296.65387,  -1.45842,              246.88027,  14.75906,       246.88174,       14.75790,    296.65387,      -1.45842,     296.65359,       -1.45860,  4014571.82,  -360647.09,  5057955.95,      51.632749,       -3.605182,  102507.75,  364705.49,   17544.97,            23133.96,   320.10,  74565.01,           61803.46,      5.52,    -10.30,           6.61,  +0.94,  -1.87
  7,     UK0035,       0,  0.409645, 2459522.375379329082, 296.68970,  -1.73845,              246.68911,  14.54576,       246.69844,       14.53842,    296.68970,      -1.73845,     296.67983,       -1.73957,  4015237.15,  -361587.72,  5056131.78,      51.617551,       -3.617819,  101541.19,  365905.12,   19702.53,            25291.52,    36.70,  53692.03,           61572.28,     35.08,    -65.49,          41.88,  +0.92,  -1.90
  8,     UK0035,       0,  0.449853, 2459522.375379794277, 296.71449,  -2.04881,              246.49052,  14.30093,       246.49655,       14.29619,    296.71449,      -2.04881,     296.70888,       -2.04953,  4015976.22,  -362632.62,  5054105.38,      51.600662,       -3.631832,  100468.16,  367246.96,   22099.26,            27688.25,    -8.99,  59608.35,           61339.02,     22.78,    -42.52,          27.09,  +0.54,  -2.28
  9,     UK0035,       0,  0.490061, 2459522.375380259939, 296.74349,  -2.36175,              246.28728,  14.05609,       246.29316,       14.05147,    296.74349,      -2.36175,     296.73823,       -2.36246,  4016727.91,  -363695.35,  5052044.40,      51.583476,       -3.646076,   99377.53,  368622.58,   24536.90,            30125.89,   -13.77,  60625.72,           61178.29,     22.29,    -41.60,          26.41,  +0.57,  -2.26
 10,     UK0035,       0,  0.530265, 2459522.375380725134, 296.76486,  -2.66131,              246.09863,  13.81804,       246.09930,       13.81752,    296.76486,      -2.66131,     296.76625,       -2.66139,  4017451.30,  -364718.08,  5050061.01,      51.566931,       -3.659784,   98328.63,  369957.16,   26882.76,            32471.76,  -110.09,  58349.00,           60967.98,      2.52,     -4.71,           2.98,  +0.92,  -1.92
 11,     UK0035,       0,  0.570485, 2459522.375381190795, 296.79648,  -2.99295,              245.88341,  13.55870,       245.88455,       13.55781,    296.79648,      -2.99295,     296.79745,       -2.99309,  4018260.13,  -365861.59,  5047843.37,      51.548423,       -3.675085,   97156.65,  371460.14,   29505.69,            35094.68,    69.69,  65214.49,           60995.95,      4.37,     -8.15,           5.13,  +1.23,  -1.62
 12,     UK0035,       0,  0.610633, 2459522.375381655525, 296.82042,  -3.22311,              245.73263,  13.37970,       245.73590,       13.37713,    296.82042,      -3.22311,     296.81890,       -3.22350,  4018825.93,  -366661.51,  5046292.07,      51.535471,       -3.685835,   96337.25,  372521.90,   31340.51,            36929.50,  -534.27,  45701.42,           60537.33,     12.56,    -23.44,          14.72,  +2.94,  +0.08
  0,     UK003Y,       0,  0.267018, 2459522.375377680641, 349.74401, -20.79710,              185.46042,  14.05388,       185.45804,       14.05273,    349.74401,     -20.79710,     349.74752,      -20.79838,  4012669.88,  -357958.14,  5063170.69,      51.676163,       -3.569086,  105273.87,  388358.95,       0.00,            16966.19,   375.19,      0.00,           58517.31,     11.72,     12.94,           9.27,  +3.17,  +0.22
  1,     UK003Y,       0,  0.307178, 2459522.375378145371, 349.63647, -20.95835,              185.55399,  13.88699,       185.54636,       13.88332,    349.63647,     -20.95835,     349.64545,      -20.96245,  4013195.15,  -358700.78,  5061730.49,      51.664178,       -3.579108,  104509.43,  389480.21,    1703.41,            18669.61,  -360.90,  42415.63,           58517.31,     37.75,     41.68,          29.78,  +2.16,  -0.79
  2,     UK003Y,       0,  0.347458, 2459522.375378611963, 349.50411, -21.25390,              185.66260,  13.58456,       185.69296,       13.59918,    349.50411,     -21.25390,     349.47491,      -21.23750,  4014082.91,  -359955.87,  5059296.45,      51.643914,       -3.595926,  103218.36,  391384.15,    4582.28,            21548.48,    71.17,  71471.45,           58517.31,   -151.21,   -166.64,         118.59,  +1.57,  -1.39
  3,     UK003Y,       0,  0.387670, 2459522.375379077159, 349.32365, -21.44827,              185.82279,  13.38020,       185.80935,       13.37374,    349.32365,     -21.44827,     349.33886,      -21.45553,  4014793.27,  -360960.18,  5057348.78,      51.627692,       -3.609410,  102185.96,  392916.44,    6885.90,            23852.09,   -67.87,  57286.84,           58517.31,     67.13,     74.15,          52.51,  +1.32,  -1.65
  4,     UK003Y,       0,  0.427906, 2459522.375379542820, 349.20166, -21.69762,              185.92293,  13.12418,       185.93480,       13.12989,    349.20166,     -21.69762,     349.19143,      -21.69118,  4015567.74,  -362055.11,  5055225.36,      51.609997,       -3.624090,  101061.13,  394595.51,    9397.40,            26363.59,    -0.50,  62419.11,           59606.81,    -59.64,    -65.79,          46.42,  +0.46,  -2.52
  5,     UK003Y,       0,  0.468126, 2459522.375380008481, 349.05149, -21.91218,              186.05154,  12.90108,       186.05220,       12.90140,    349.05149,     -21.91218,     349.05278,      -21.91182,  4016299.31,  -363089.40,  5053219.53,      51.593276,       -3.637960,   99999.29,  396189.78,   11769.80,            28735.99,   -71.25,  58985.67,           59829.31,     -3.30,     -3.65,           2.56,  +0.22,  -2.77
  6,     UK003Y,       0,  0.508374, 2459522.375380474143, 348.89774, -22.16244,              186.18044,  12.64197,       186.18407,       12.64371,    348.89774,     -22.16244,     348.89617,      -22.16046,  4017131.31,  -364265.67,  5050938.38,      51.574251,       -3.653705,   98792.55,  398012.23,   14467.85,            31434.05,   181.96,  67035.69,           60681.32,    -18.43,    -20.34,          14.22,  +0.72,  -2.28
  7,     UK003Y,       0,  0.548590, 2459522.375380939804, 348.75526, -22.37360,              186.30062,  12.42240,       186.29796,       12.42113,    348.75526,     -22.37360,     348.76027,      -22.37505,  4017855.99,  -365290.22,  5048951.45,      51.557672,       -3.667434,   97742.15,  399607.87,   16817.91,            33784.10,    89.11,  58435.85,           60849.19,     13.56,     14.97,          10.43,  +1.60,  -1.41

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.