Orbital Analysis for matched events on 20211111_234724.050_UK

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Summary for Event
-----------------
shower ID 635 ATU (A1 Taurids)
Lg 59.60° Bg 2.45° Vg 27.82km/s
mass 0.08343g, abs. mag 0.3
best visual mag 1.6
Path Details
------------
start 1.77° 52.37° 96.08km
end   1.74° 52.44° 81.72km

Orbit Details
-------------
Semimajor axis 2.31A.U., eccentricity 0.83, inclination 2.70°, Period 3.51Y, LA Sun 229.51°, last Perihelion 2018-06-19

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: 2459530.491250584833
Time: 2021-11-11 23:47:24.090843 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK003W
 Convergence angle = 81.37814 deg
 R.A. =  57.49683  Dec = +23.42004 deg

Best intersection: Stations UK002K and UK003W with Qconv = 81.38 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2549357.68 +/- 31.58 m
 Y =   3033263.16 +/- 31.00 m
 Z =   5104327.55 +/- 45.24 m
 Vx =    14957.93 +/- 129.11 m/s
 Vy =    23010.11 +/- 67.96 m/s
 Vz =    11994.86 +/- 121.13 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.067140e+03, -4.277181e+02, -9.828291e+02, +2.719554e+03, -1.808398e+03, -2.689706e+03
-4.277181e+02, +1.063655e+03, +1.073026e+03, -1.993215e+03, +1.267990e+03, +2.338660e+03
-9.828291e+02, +1.073026e+03, +2.173970e+03, -3.707897e+03, +2.081972e+03, +5.429387e+03
+2.719554e+03, -1.993215e+03, -3.707897e+03, +8.472374e+03, -5.311568e+03, -9.752380e+03
-1.808398e+03, +1.267990e+03, +2.081972e+03, -5.311568e+03, +3.536884e+03, +5.213491e+03
-2.689706e+03, +2.338660e+03, +5.429387e+03, -9.752380e+03, +5.213491e+03, +1.524589e+04

Timing offsets (from input data):
    UK002K: 0.000037 s
    UK003W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-11 23:47:24.090843 UTC
  Lon     = ++1.768723 +/- 0.0005 deg
  Lat     = +52.362526 +/- 0.0003 deg
  Lat geo = +52.179059 +/- 0.0003 deg
  Ht      =   96925.82 +/- 40.85 m

  JD dynamic   = 2459530.492051792331 
  LST apparent = 49.9540554378 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  56.97375 +/- 0.2172 deg
  Dec       = +23.60810 +/- 0.2174 deg
  Azimuth   = 166.75122 +/- 0.4586 deg
  Elevation = +60.74992 +/- 0.1906 deg
  Vavg      =  29.21753 +/- 0.0409 km/s
  Vinit     =  29.95132 +/- 0.0425 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  57.57165 +/- 0.2172 deg
  Dec       = +23.57994 +/- 0.2174 deg
  Azimuth   = 165.65523 +/- 0.4586 deg
  Elevation = +60.63503 +/- 0.1906 deg
  Vavg      =  29.25126 +/- 0.0409 km/s
  Vinit     =  29.98505 +/- 0.0425 km/s
Radiant (geocentric, J2000):
  R.A.   =  56.83474 +/- 0.2219 deg
  Dec    = +22.45644 +/- 0.2291 deg
  Vg     =  27.81569 +/- 0.0457 km/s
  Vinf   =  29.95132 +/- 0.0425 km/s
  Zc     =  29.07153 +/- 0.1903 deg
  Zg     =  30.16993 +/- 0.2009 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  59.59989 +/- 0.2412 deg
  Bg     =  +2.45052 +/- 0.1909 deg
  Vh     =  37.53017 +/- 0.0664 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   7.27314 +/- 0.1592 deg
  Bh     =  +1.81696 +/- 0.1469 deg
  Vh_x   = -37.20948 +/- 0.0812 km/s
  Vh_y   =  -4.74892 +/- 0.0944 km/s
  Vh_z   =  -1.18996 +/- 0.0945 km/s
Orbit:
  La Sun = 229.511430 +/- -0.0000 deg
  a      =   2.311593 +/- 0.0289 AU
  e      =   0.833946 +/- 0.0006
  i      =   2.702624 +/- 0.2260 deg
  peri   = 290.283345 +/- 0.5048 deg
  node   = 229.496513 +/- 0.0013 deg
  Pi     = 159.779857 +/- 0.5059 deg
  q      =   0.383849 +/- 0.0035 AU
  f      = 249.732040 +/- 0.5059 deg
  M      = 348.066646 +/- 0.2349 deg
  Q      =   4.239338 +/- 0.0543 AU
  n      =   0.280438 +/- 0.0055 deg/day
  T      =   3.514534 +/- 0.0653 years
  Last perihelion JD = 2458289.338790 (2018-06-19 20:07:51.469393) +/- 23.8614 days
  Tj     =   2.986128 +/- 0.0256
Shower association:
  IAU No.  =  635
  IAU code =  ATU

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.590880e-07, +2.200166e-06, -1.604123e-02, -4.177197e-07, -3.244850e-04, -7.463789e-05
q   , +2.200166e-06, +1.319509e-05, -8.987866e-02, -3.950053e-06, -1.914963e-03, -6.821049e-04
Tp  , -1.604123e-02, -8.987866e-02, +6.242995e+02, +2.416651e-02, +1.310290e+01, +4.201520e+00
node, -4.177197e-07, -3.950053e-06, +2.416651e-02, +1.850180e-06, +5.595667e-04, +3.110612e-04
peri, -3.244850e-04, -1.914963e-03, +1.310290e+01, +5.595667e-04, +2.782050e-01, +9.677388e-02
i   , -7.463789e-05, -6.821049e-04, +4.201520e+00, +3.110612e-04, +9.677388e-02, +5.254653e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.260003
 a2 = 8.017430

Mean time residuals from time vs. length:
  Station with reference time: UK003W
  Avg. res. = 1.867e-06 s
  Stddev    = 1.37e-03 s

Begin point on the trajectory:
  Lon =     1.767157 +/- 0.0005 deg
  Lat =    52.366596 +/- 0.0003 deg
  Ht  = 96082.67 +/- 26.53 m
End point on the trajectory:
  Lon =     1.738027 +/- 0.0004 deg
  Lat =    52.436069 +/- 0.0002 deg
  Ht  = 81724.23 +/- 19.73 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.381918,  12.073096,    93615.07,    82312.90,          0.011081,     37.43,     17.29,              39.92, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20211111_234719_433_0627200.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,   1.887991,   9.051841,    96082.67,    81724.23,          0.008892,     23.93,     13.99,              73.68, 1.0000,    True,    True, {"ff_name": "FF_UK003W_20211111_234724_177_0623104.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,     UK002K,       0,  0.135906, 2459530.491252156906,  91.10135,  -0.93504,              130.94555,  24.79260,       130.96818,       24.78321,     91.10135,      -0.93504,      91.08777,       -0.95266,  2547462.54,  3030347.82,  5102807.82,      52.378511,       +1.762173,   93615.07,  216148.63,       0.00,             3794.78,   -34.27,      0.00,           29548.07,    -35.73,    -77.38,          81.33,  +4.34,  +2.67
  1,     UK002K,       0,  0.176110, 2459530.491252622101,  91.26206,  -1.11729,              130.87765,  24.55760,       130.86032,       24.56477,     91.26206,      -1.11729,      91.27365,       -1.10379,  2546776.60,  3029292.63,  5102257.76,      52.384301,       +1.759777,   92416.86,  215110.16,    1373.50,             5168.28,   135.07,  34163.21,           29548.07,     27.29,     59.00,          62.33,  +4.97,  +3.31
  2,     UK002K,       0,  0.216230, 2459530.491253086831,  91.39339,  -1.19837,              130.78885,  24.42613,       130.79207,       24.42479,     91.39339,      -1.19837,      91.39228,       -1.20088,  2546339.48,  3028620.19,  5101907.23,      52.387991,       +1.758188,   91653.29,  214447.57,    2248.78,             6043.56,  -191.30,  21816.53,           29548.07,     -5.06,    -10.95,          11.61,  +3.38,  +1.72
  3,     UK002K,       0,  0.256430, 2459530.491253552027,  91.58675,  -1.35818,              130.67846,  24.19637,       130.67969,       24.19586,     91.58675,      -1.35818,      91.58705,       -1.35914,  2545632.46,  3027532.56,  5101340.26,      52.393963,       +1.755721,   90418.33,  213383.88,    3664.51,             7459.29,    20.39,  35217.19,           29548.07,     -1.93,     -4.18,           4.45,  +2.64,  +0.99
  4,     UK002K,       0,  0.296598, 2459530.491254016757,  91.74668,  -1.48732,              130.58597,  24.00899,       130.58817,       24.00808,     91.74668,      -1.48732,      91.74654,       -1.48904,  2545057.35,  3026647.86,  5100879.08,      52.398821,       +1.753681,   89413.82,  212520.26,    4816.08,             8610.86,   -31.12,  28669.00,           29682.03,     -3.44,     -7.44,           7.95,  +2.48,  +0.84
  5,     UK002K,       0,  0.336778, 2459530.491254481953,  91.91497,  -1.63347,              130.49404,  23.80260,       130.48920,       23.80460,     91.91497,      -1.63347,      91.91942,       -1.62969,  2544439.78,  3025697.84,  5100383.85,      52.404040,       +1.751502,   88335.20,  211596.52,    6052.68,             9847.46,     2.04,  30776.47,           29876.69,      7.53,     16.28,          17.49,  +2.42,  +0.79
  6,     UK002K,       0,  0.376954, 2459530.491254946683,  92.10901,  -1.75689,              130.36615,  23.60477,       130.38794,       23.59575,     92.10901,      -1.75689,      92.09686,       -1.77397,  2543811.72,  3024731.67,  5099880.20,      52.409350,       +1.749288,   87238.28,  210660.51,    7310.30,            11105.08,    56.33,  31302.76,           30099.02,    -33.78,    -73.14,          78.88,  +2.62,  +1.00
  7,     UK002K,       0,  0.417090, 2459530.491255411413,  92.21825,  -1.88032,              130.32101,  23.44526,       130.31661,       23.44708,     92.21825,      -1.88032,      92.22277,       -1.87686,  2543367.27,  3024047.96,  5099523.79,      52.413108,       +1.747672,   86462.02,  209997.90,    8200.26,            11995.04,  -255.84,  22173.52,           29531.83,      6.82,     14.74,          15.95,  +2.46,  +0.85
  8,     UK002K,       0,  0.457266, 2459530.491255876608,  92.39206,  -2.01629,              130.21959,  23.24528,       130.21945,       23.24534,     92.39206,      -2.01629,      92.39406,       -2.01618,  2542769.74,  3023128.77,  5099044.63,      52.418163,       +1.745555,   85418.49,  209112.44,    9396.73,            13191.51,  -262.69,  29780.79,           29283.68,      0.22,      0.47,           0.51,  +1.74,  +0.14
  9,     UK002K,       0,  0.497470, 2459530.491256341804,  92.59112,  -2.17651,              130.10609,  23.01215,       130.10710,       23.01174,     92.59112,      -2.17651,      92.59256,       -2.17730,  2542084.76,  3022075.06,  5098495.34,      52.423958,       +1.743152,   84222.32,  208102.40,   10768.31,            14563.09,   -95.28,  34115.43,           29421.12,     -1.55,     -3.34,           3.65,  +2.15,  +0.56
 10,     UK002K,       0,  0.537638, 2459530.491256806534,  92.74873,  -2.31525,              130.02241,  22.81694,       130.01544,       22.81982,     92.74873,      -2.31525,      92.75538,       -2.30976,  2541526.57,  3021216.39,  5098047.73,      52.428683,       +1.741162,   83247.56,  207280.94,   11886.01,            15680.79,  -180.66,  27825.65,           29423.56,     10.69,     23.12,          25.34,  +2.33,  +0.75
 11,     UK002K,       0,  0.577798, 2459530.491257271264,  92.91558,  -2.43110,              129.91879,  22.63783,       129.92721,       22.63435,     92.91558,      -2.43110,      92.91266,       -2.43774,  2540991.34,  3020393.02,  5097618.52,      52.433215,       +1.739246,   82312.90,  206495.56,   12957.75,            16752.53,  -311.76,  26686.77,           29319.74,    -12.87,    -27.85,          30.64,  +3.01,  +1.44
 12,     UK002K,       1,  0.617902, 2459530.491257735528,  93.06577,  -2.48192,              129.79934,  22.52410,       129.86290,       22.49779,     93.06577,      -2.48192,      93.02810,       -2.53215,  2540599.16,  3019789.72,  5097304.03,      52.436536,       +1.737796,   81628.01,  205919.62,   13743.04,            17537.82,  -727.64,  19581.29,           28936.54,    -96.85,   -209.99,         231.64,  +4.75,  +3.18
  0,     UK003W,       1,  0.000000, 2459530.491250584833, 150.76215,  51.16967,               46.01263,  31.66839,        46.03903,       31.65731,    150.76215,     +51.16967,     150.74976,      +51.14586,  2549341.26,  3033237.90,  5104314.38,      52.362665,       +1.768838,   96897.13,  181003.73,       0.00,               32.88,   274.39,      0.00,           28654.24,     39.95,     68.32,          90.19,  +5.48,  +4.19
  1,     UK003W,       0,  0.040328, 2459530.491251051426, 151.17628,  51.05004,               45.89921,  31.39901,        45.88859,       31.40347,    151.17628,     +51.05004,     151.18152,      +51.05963,  2548875.07,  3032520.74,  5103940.53,      52.366596,       +1.767157,   96082.67,  180742.98,     933.50,              966.38,     0.02,  23147.65,           28654.24,    -16.08,    -27.52,          36.38,  +4.72,  +3.43
  2,     UK003W,       1,  0.080804, 2459530.491251519881, 151.76966,  50.87524,               45.73659,  31.01057,        45.67443,       31.03663,    151.76966,     +50.87524,     151.80043,      +50.93134,  2548205.40,  3031490.57,  5103403.52,      52.372244,       +1.764815,   94912.77,  180379.36,    2274.42,             2307.30,   128.63,  33128.88,           28654.24,    -94.11,   -161.23,         213.47,  +5.26,  +3.98
  3,     UK003W,       0,  0.121120, 2459530.491251986474, 152.32665,  50.82578,               45.48701,  30.72735,        45.49324,       30.72474,    152.32665,     +50.82578,     152.32404,      +50.82015,  2547638.24,  3030618.10,  5102948.71,      52.377029,       +1.762806,   93921.99,  180077.56,    3410.09,             3442.97,    56.78,  28169.06,           28654.24,      9.46,     16.17,          21.46,  +3.54,  +2.26
  4,     UK003W,       0,  0.161536, 2459530.491252454463, 152.88731,  50.68543,               45.30795,  30.37846,        45.29666,       30.38319,    152.88731,     +50.68543,     152.89375,      +50.69562,  2547020.02,  3029667.08,  5102452.96,      52.382246,       +1.760628,   92842.07,  179756.84,    4647.98,             4680.86,    84.16,  30628.79,           29150.35,    -17.14,    -29.33,          38.98,  +2.98,  +1.71
  5,     UK003W,       0,  0.201868, 2459530.491252921056, 153.36767,  50.58956,               45.13281,  30.09720,        45.13266,       30.09726,    153.36767,     +50.58956,     153.36859,      +50.58970,  2546504.16,  3028873.52,  5102039.29,      52.386601,       +1.758783,   91940.95,  179494.15,    5680.93,             5713.80,   -90.89,  25611.05,           28787.15,     -0.23,     -0.39,           0.52,  +2.96,  +1.69
  6,     UK003W,       0,  0.242308, 2459530.491253389511, 153.95505,  50.43800,               44.94380,  29.72891,        44.92771,       29.73562,    153.95505,     +50.43800,     153.96461,      +50.45252,  2545854.99,  3027874.89,  5101518.72,      52.392083,       +1.756503,   90807.03,  179173.34,    6980.81,             7013.69,    -2.24,  32143.49,           29017.53,    -24.46,    -41.84,          55.80,  +2.35,  +1.08
  7,     UK003W,       0,  0.282680, 2459530.491253856570, 154.48995,  50.32301,               44.75094,  29.41042,        44.74565,       29.41262,    154.48995,     +50.32301,     154.49399,      +50.32778,  2545277.32,  3026986.24,  5101055.47,      52.396963,       +1.754455,   89798.02,  178894.56,    8137.53,             8170.41,   -54.72,  28651.57,           29083.00,     -8.05,    -13.77,          18.39,  +1.93,  +0.67
  8,     UK003W,       0,  0.323120, 2459530.491254324559, 155.08473,  50.17106,               44.55284,  29.03912,        44.54018,       29.04440,    155.08473,     +50.17106,     155.09307,      +50.18248,  2544621.77,  3025977.80,  5100529.79,      52.402502,       +1.752152,   88653.06,  178587.74,    9450.17,             9483.05,    46.69,  32458.97,           29338.96,    -19.29,    -32.99,          44.14,  +2.17,  +0.91
  9,     UK003W,       0,  0.363484, 2459530.491254791617, 155.59800,  50.05601,               44.36707,  28.73071,        44.36609,       28.73112,    155.59800,     +50.05601,     155.60006,      +50.05688,  2544065.87,  3025122.65,  5100084.01,      52.407201,       +1.750172,   87682.15,  178333.63,   10563.28,            10596.16,   -49.15,  27576.89,           29373.15,     -1.49,     -2.54,           3.41,  +1.99,  +0.73
 10,     UK003W,       0,  0.403852, 2459530.491255259141, 156.10745,  49.92926,               44.19036,  28.41567,        44.19169,       28.41512,    156.10745,     +49.92926,     156.10837,      +49.92806,  2543507.13,  3024263.12,  5099635.95,      52.411926,       +1.748183,   86706.31,  178084.91,   11682.10,            11714.98,  -139.41,  27715.34,           29316.49,      2.04,      3.49,           4.68,  +1.84,  +0.59
 11,     UK003W,       0,  0.444228, 2459530.491255726200, 156.63028,  49.80241,               44.00436,  28.09502,        44.01408,       28.09097,    156.63028,     +49.80241,     156.62649,      +49.79366,  2542936.04,  3023384.59,  5099177.99,      52.416756,       +1.746152,   85708.92,  177837.79,   12825.64,            12858.52,  -205.18,  28322.37,           29245.58,     14.86,     25.40,          34.13,  +1.70,  +0.45
 12,     UK003W,       0,  0.484656, 2459530.491256194189, 157.19067,  49.64614,               43.81791,  27.73652,        43.82090,       27.73528,    157.19067,     +49.64614,     157.19093,      +49.64345,  2542311.82,  3022424.35,  5098677.42,      52.422037,       +1.743946,   84618.83,  177576.39,   14075.55,            14108.43,  -166.15,  30916.86,           29257.86,      4.57,      7.82,          10.52,  +1.60,  +0.35
 13,     UK003W,       0,  0.525060, 2459530.491256661713, 157.74660,  49.50238,               43.62181,  27.38953,        43.63210,       27.38525,    157.74660,     +49.50238,     157.74262,      +49.49313,  2541699.73,  3021482.75,  5098186.58,      52.427217,       +1.741780,   83549.93,  177328.14,   15301.19,            15334.07,  -150.65,  30334.74,           29296.37,     15.77,     26.95,          36.33,  +2.00,  +0.76
 14,     UK003W,       0,  0.565416, 2459530.491257128771, 158.23004,  49.37369,               43.45193,  27.08527,        43.46744,       27.07883,    158.23004,     +49.37369,     158.22296,      +49.35975,  2541165.34,  3020660.70,  5097758.06,      52.431741,       +1.739866,   82616.76,  177117.15,   16371.22,            16404.10,  -289.34,  26514.73,           29251.91,     23.80,     40.67,          54.88,  +2.27,  +1.03
 15,     UK003W,       0,  0.605776, 2459530.491257596295, 158.67875,  49.23044,               43.30998,  26.78508,        43.31031,       26.78495,    158.67875,     +49.23044,     158.68107,      +49.23015,  2540654.23,  3019874.44,  5097348.19,      52.436069,       +1.738027,   81724.23,  176920.86,   17394.66,            17427.54,  -474.74,  25357.76,           29136.33,      0.50,      0.86,           1.16,  +3.64,  +2.40

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.