Orbital Analysis for matched events on 20211015_192936.432_UK

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Summary for Event
-----------------
shower ID 557 SFD
Lg 51.78° Bg 78.16° Vg 28.50km/s
mass 0.42716g, abs. mag -1.1
best visual mag -0.3
Path Details
------------
start -1.35° 52.43° 91.88km
end   -1.34° 52.38° 77.47km

Orbit Details
-------------
Semimajor axis 3.68A.U., eccentricity 0.74, inclination 45.95°, Period 7.05Y, LA Sun 202.37°, last Perihelion 2014-10-13

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: 2459503.312227227725
Time: 2021-10-15 19:29:36.432475 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK0035
 Convergence angle = 88.32938 deg
 R.A. = 300.64284  Dec = +73.59802 deg

Best intersection: Stations UK002H and UK0035 with Qconv = 88.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2824070.32 +/- 28.33 m
 Y =  -2766025.87 +/- 56.12 m
 Z =   5105088.10 +/- 29.49 m
 Vx =     4206.84 +/- 140.05 m/s
 Vy =    -7590.53 +/- 75.97 m/s
 Vz =    29336.57 +/- 357.91 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.618526e+02, +6.293169e+02, -7.554553e+01, +2.312398e+03, +8.769244e+02, +3.708229e+02
+6.293169e+02, +3.215661e+03, -9.280973e+02, +2.484848e+03, +7.278932e+03, +2.404490e+03
-7.554553e+01, -9.280973e+02, +9.411581e+02, -1.785330e+03, +4.951883e+02, -6.420035e+03
+2.312398e+03, +2.484848e+03, -1.785330e+03, +1.166845e+04, -1.623330e+03, +1.609398e+04
+8.769244e+02, +7.278932e+03, +4.951883e+02, -1.623330e+03, +3.967673e+04, -3.681695e+04
+3.708229e+02, +2.404490e+03, -6.420035e+03, +1.609398e+04, -3.681695e+04, +1.027570e+05

Timing offsets (from input data):
    UK002H: -0.000119 s
    UK0035: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 19:29:36.432475 UTC
  Lon     = +-1.352938 +/- 0.0007 deg
  Lat     = +52.431906 +/- 0.0002 deg
  Lat geo = +52.248411 +/- 0.0002 deg
  Ht      =   91847.66 +/- 39.99 m

  JD dynamic   = 2459503.313027968630 
  LST apparent = 315.5949061014 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 298.99619 +/- 0.8459 deg
  Dec       = +73.52072 +/- 0.2560 deg
  Azimuth   = 347.62009 +/- 0.8012 deg
  Elevation = +67.79182 +/- 0.1850 deg
  Vavg      =  28.15611 +/- 0.0318 km/s
  Vinit     =  30.59327 +/- 0.3322 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 300.83684 +/- 0.8459 deg
  Dec       = +73.66074 +/- 0.2560 deg
  Azimuth   = 349.02239 +/- 0.8012 deg
  Elevation = +67.89307 +/- 0.1850 deg
  Vavg      =  28.13410 +/- 0.0318 km/s
  Vinit     =  30.57126 +/- 0.3322 km/s
Radiant (geocentric, J2000):
  R.A.   = 297.74212 +/- 0.8969 deg
  Dec    = +74.17231 +/- 0.2737 deg
  Vg     =  28.50406 +/- 0.3573 km/s
  Vinf   =  30.59327 +/- 0.3322 km/s
  Zc     =  22.38745 +/- 0.1853 deg
  Zg     =  23.18910 +/- 0.1989 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  51.77507 +/- 1.0398 deg
  Bg     = +78.15942 +/- 0.3038 deg
  Vh     =  39.21945 +/- 0.2861 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 304.07789 +/- 0.2810 deg
  Bh     = +45.34468 +/- 0.3599 deg
  Vh_x   = -15.44521 +/- 0.1047 km/s
  Vh_y   =  22.83145 +/- 0.1450 km/s
  Vh_z   = -27.89867 +/- 0.3582 km/s
Orbit:
  La Sun = 202.366668 +/- -0.0000 deg
  a      =   3.675154 +/- 0.2954 AU
  e      =   0.735234 +/- 0.0243
  i      =  45.947121 +/- 0.3728 deg
  peri   = 199.391649 +/- 0.6045 deg
  node   = 202.367177 +/- 0.0000 deg
  Pi     =  41.758826 +/- 0.6045 deg
  q      =   0.973056 +/- 0.0012 AU
  f      = 340.606768 +/- 0.6045 deg
  M      = 357.961323 +/- 0.3631 deg
  Q      =   6.377253 +/- 0.5902 AU
  n      =   0.139891 +/- 0.0201 deg/day
  T      =   7.045535 +/- 0.8231 years
  Last perihelion JD = 2456944.459727 (2014-10-13 23:02:00.439593) +/- 301.0810 days
  Tj     =   2.208175 +/- 0.1292
Shower association:
  IAU No.  =  557
  IAU code =  SFD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.292405e-04, +1.318878e-05, -7.723437e+00, -3.107674e-07, -1.054839e-02, +7.928449e-03
q   , +1.318878e-05, +1.407680e-06, -1.808339e-01, -1.738493e-09, -6.859797e-04, +4.489149e-05
Tp  , -7.723437e+00, -1.808339e-01, +9.562232e+04, +3.818634e-03, +1.371300e+02, -9.742403e+01
node, -3.107674e-07, -1.738493e-09, +3.818634e-03, +2.304275e-10, +3.210726e-06, -5.877848e-06
peri, -1.054839e-02, -6.859797e-04, +1.371300e+02, +3.210726e-06, +3.679407e-01, -8.213175e-02
i   , +7.928449e-03, +4.489149e-05, -9.742403e+01, -5.877848e-06, -8.213175e-02, +1.499381e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.077284
 a2 = 10.998761

Mean time residuals from time vs. length:
  Station with reference time: UK0035
  Avg. res. = 2.891e-06 s
  Stddev    = 1.70e-03 s

Begin point on the trajectory:
  Lon =    -1.352975 +/- 0.0007 deg
  Lat =    52.432009 +/- 0.0002 deg
  Ht  = 91876.60 +/- 28.14 m
End point on the trajectory:
  Lon =    -1.337028 +/- 0.0006 deg
  Lat =    52.380985 +/- 0.0003 deg
  Ht  = 77467.12 +/- 23.63 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   3.240729,  10.898058,    91012.43,    78149.86,          0.022287,     50.01,     34.93,              74.59, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20211015_192932_625_0152064.fits"}
    UK0035,   False,     1.010397,    52.949859,   25.00,   2.971983,  11.062088,    91876.60,    77467.12,          0.012335,     40.89,      1.48,              66.72, 1.0000,    True,    True, {"ff_name": "FF_UK0035_20211015_192936_032_0172800.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,     UK002H,       0,  0.032394, 2459503.312227521557, 342.14495,   2.85477,              145.78381,  34.59858,       145.75583,       34.59532,    342.14495,      +2.85477,     342.16788,       +2.85944,  2823946.26, -2765802.03,  5104222.99,      52.428955,       -1.351985,   91012.43,  157955.31,       0.00,              902.17,    83.51,      0.00,           29768.56,     36.73,    -52.58,          83.75,  +2.07,  +1.08
  1,     UK002H,       0,  0.072770, 2459503.312227989081, 342.19684,   2.42740,              145.89826,  34.17857,       145.83294,       34.17096,    342.19684,      +2.42740,     342.25062,       +2.43834,  2823778.07, -2765498.55,  5103050.06,      52.424953,       -1.350716,   89880.02,  157643.27,    1223.18,             2125.35,    71.46,  30294.68,           29768.56,     85.98,   -123.08,         196.44,  +0.67,  -0.32
  2,     UK002H,       0,  0.113110, 2459503.312228456140, 342.32530,   2.03969,              145.90883,  33.77025,       145.90538,       33.76985,    342.32530,      +2.03969,     342.32858,       +2.04027,  2823619.67, -2765212.75,  5101945.47,      52.421183,       -1.349532,   88813.61,  157357.22,    2375.09,             3277.26,   -10.77,  28555.06,           29768.56,      4.56,     -6.52,          10.43,  +0.18,  -0.80
  3,     UK002H,       0,  0.153486, 2459503.312228923198, 342.42738,   1.61105,              145.96534,  33.33216,       145.98290,       33.33421,    342.42738,      +1.61105,     342.41347,       +1.60808,  2823448.34, -2764903.61,  5100750.70,      52.417103,       -1.348236,   87660.15,  157057.14,    3621.04,             4523.21,    -0.05,  30858.74,           29768.56,    -23.26,     33.29,          53.33,  +0.05,  -0.93
  4,     UK002H,       0,  0.193854, 2459503.312229390256, 342.50415,   1.19270,              146.04557,  32.91217,       146.05719,       32.91352,    342.50415,      +1.19270,     342.49528,       +1.19073,  2823283.50, -2764606.19,  5099601.18,      52.413177,       -1.346996,   86550.39,  156777.02,    4819.80,             5721.97,   -36.28,  29695.71,           29822.60,    -15.44,     22.09,          35.46,  -0.29,  -1.27
  5,     UK002H,       0,  0.234254, 2459503.312229858246, 342.60085,   0.73416,              146.11859,  32.44760,       146.13783,       32.44984,    342.60085,      +0.73416,     342.58574,       +0.73088,  2823102.55, -2764279.69,  5098339.30,      52.408865,       -1.345618,   85332.19,  156480.00,    6135.74,             7037.90,    43.69,  32572.76,           30231.30,    -25.64,     36.70,          59.01,  -0.28,  -1.25
  6,     UK002H,       0,  0.274626, 2459503.312230325304, 342.69382,   0.31232,              146.18061,  32.01883,       146.21176,       32.02246,    342.69382,      +0.31232,     342.66882,       +0.30698,  2822936.34, -2763979.79,  5097180.22,      52.404903,       -1.344365,   84213.24,  156216.00,    7344.46,             8246.63,    17.31,  29939.70,           30345.95,    -41.63,     59.59,          95.98,  -0.29,  -1.26
  7,     UK002H,       0,  0.314990, 2459503.312230792362, 342.74239,  -0.10535,              146.28962,  31.60868,       146.28296,       31.60791,    342.74239,      -0.10535,     342.74928,       -0.10420,  2822775.64, -2763689.84,  5096059.60,      52.401071,       -1.343159,   83131.44,  155969.05,    8513.09,             9415.25,   -48.94,  28952.15,           30277.58,      8.92,    -12.76,          20.59,  -0.28,  -1.25
  8,     UK002H,       0,  0.355326, 2459503.312231259421, 342.83962,  -0.48578,              146.32958,  31.21750,       146.34934,       31.21979,    342.83962,      -0.48578,     342.82437,       -0.48920,  2822625.63, -2763419.17,  5095013.48,      52.397492,       -1.342045,   82121.55,  155745.69,    9604.02,            10506.19,  -192.01,  27046.17,           30030.46,    -26.55,     38.00,          61.39,  -0.30,  -1.26
  9,     UK002H,       0,  0.395710, 2459503.312231726944, 342.91240,  -0.92604,              146.41910,  30.77791,       146.42357,       30.77843,    342.91240,      -0.92604,     342.91022,       -0.92682,  2822455.62, -2763112.43,  5093827.96,      52.393436,       -1.340759,   80977.12,  155502.14,   10840.33,            11742.50,  -191.18,  30613.86,           29936.46,     -6.03,      8.63,          13.96,  +0.04,  -0.92
 10,     UK002H,       0,  0.436018, 2459503.312232193071, 342.97641,  -1.27360,              146.48202,  30.42868,       146.48280,       30.42878,    342.97641,      -1.27360,     342.97754,       -1.27373,  2822321.23, -2762869.93,  5092890.74,      52.390228,       -1.339778,   80072.37,  155315.15,   11817.70,            12719.87,  -446.97,  24247.45,           29627.03,     -1.05,      1.51,           2.44,  +0.13,  -0.83
 11,     UK002H,       0,  0.476334, 2459503.312232659664, 343.01644,  -1.63697,              146.57669,  30.07238,       146.54326,       30.06850,    343.01644,      -1.63697,     343.04701,       -1.63113,  2822183.10, -2762620.71,  5091927.53,      52.386930,       -1.338764,   79142.54,  155129.29,   12822.17,            13724.34,  -675.90,  24914.92,           29267.52,     45.26,    -64.79,         105.09,  +0.48,  -0.47
 12,     UK002H,       0,  0.516670, 2459503.312233126722, 343.09887,  -2.01782,              146.63121,  29.68560,       146.60720,       29.68281,    343.09887,      -2.01782,     343.12163,       -2.01361,  2822035.64, -2762354.64,  5090899.19,      52.383408,       -1.337671,   78149.86,  154938.15,   13894.56,            14796.72,  -837.52,  26586.35,           28961.85,     32.59,    -46.65,          75.75,  +1.09,  +0.14
  0,     UK0035,       0,  0.000000, 2459503.312227227725, 259.09698,  11.24859,              251.10998,  27.46883,       251.11190,       27.46806,    259.09698,     +11.24859,     259.09511,      +11.24896,  2824074.62, -2766033.63,  5105118.08,      52.432009,       -1.352975,   91876.60,  194177.48,       0.00,               31.26,   203.65,      0.00,           29072.56,      0.23,     -6.33,           6.73,  +2.77,  +1.33
  1,     UK0035,       0,  0.040264, 2459503.312227693852, 259.02916,  10.93445,              250.96565,  27.17443,       250.96641,       27.17413,    259.02916,     +10.93445,     259.02859,      +10.93460,  2823912.17, -2765740.51,  5103985.21,      52.428144,       -1.351756,   90782.86,  193716.87,    1181.40,             1150.14,    90.72,  29341.25,           29072.56,      0.09,     -2.50,           2.66,  +2.05,  +0.61
  2,     UK0035,       0,  0.080536, 2459503.312228159979, 258.95176,  10.61349,              250.82640,  26.86880,       250.81779,       26.87221,    258.95176,     +10.61349,     258.96048,      +10.61182,  2823746.16, -2765440.99,  5102827.59,      52.424194,       -1.350506,   89665.24,  193252.30,    2388.60,             2357.34,    65.87,  29976.29,           29072.56,     -1.03,     28.34,          30.26,  +1.40,  -0.03
  3,     UK0035,       0,  0.120784, 2459503.312228625640, 258.89821,  10.31318,              250.67999,  26.59337,       250.68123,       26.59288,    258.89821,     +10.31318,     258.89751,      +10.31341,  2823593.43, -2765165.40,  5101762.46,      52.420558,       -1.349369,   88636.92,  192831.26,    3499.36,             3468.10,   -54.68,  27597.88,           29072.56,      0.15,     -4.06,           4.35,  +0.95,  -0.48
  4,     UK0035,       0,  0.161072, 2459503.312229091767, 258.82165,   9.96742,              250.52579,  26.26754,       250.52325,       26.26855,    258.82165,      +9.96742,     258.82480,       +9.96692,  2823416.87, -2764846.83,  5100531.24,      52.416354,       -1.348028,   87448.29,  192349.91,    4783.32,             4752.06,    -3.27,  31869.52,           29515.01,     -0.30,      8.33,           8.94,  +0.78,  -0.64
  5,     UK0035,       0,  0.201372, 2459503.312229558360, 258.73091,   9.61813,              250.38306,  25.93054,       250.36337,       25.93833,    258.73091,      +9.61813,     258.75098,       +9.61430,  2823238.09, -2764524.26,  5099284.52,      52.412095,       -1.346668,   86244.70,  191869.90,    6083.45,             6052.19,    63.96,  32261.30,           30034.07,     -2.35,     64.75,          69.65,  +0.81,  -0.61
  6,     UK0035,       0,  0.241628, 2459503.312230024487, 258.67558,   9.30541,              250.23292,  25.64332,       250.22343,       25.64708,    258.67558,      +9.30541,     258.68586,       +9.30357,  2823081.32, -2764241.38,  5098191.25,      52.408359,       -1.345496,   85189.26,  191456.40,    7223.56,             7192.30,   -27.50,  28321.37,           30035.93,     -1.13,     31.19,          33.63,  +0.57,  -0.84
  7,     UK0035,       0,  0.281912, 2459503.312230490614, 258.62984,   8.94722,              250.04614,  25.32408,       250.06523,       25.31654,    258.62984,      +8.94722,     258.61232,       +8.95093,  2822904.19, -2763921.79,  5096956.04,      52.404136,       -1.344150,   83996.83,  190995.06,    8511.67,             8480.42,    28.20,  31975.96,           30198.42,      2.26,    -62.76,          67.82,  +0.60,  -0.81
  8,     UK0035,       0,  0.322176, 2459503.312230956741, 258.54179,   8.64413,              249.93309,  25.02581,       249.92809,       25.02779,    258.54179,      +8.64413,     258.54804,       +8.64316,  2822750.32, -2763644.16,  5095883.05,      52.400467,       -1.343002,   82961.00,  190601.71,    9630.63,             9599.37,   -84.66,  27790.39,           30113.75,     -0.60,     16.43,          17.80,  +0.65,  -0.75
  9,     UK0035,       0,  0.362428, 2459503.312231422402, 258.49356,   8.33093,              249.77877,  24.74161,       249.79064,       24.73692,    258.49356,      +8.33093,     258.48342,       +8.33325,  2822596.03, -2763365.76,  5094807.05,      52.396786,       -1.341851,   81922.28,  190212.99,   10752.72,            10721.46,  -194.01,  27876.66,           29948.69,      1.41,    -39.00,          42.32,  +0.50,  -0.90
 10,     UK0035,       0,  0.402688, 2459503.312231888529, 258.41922,   8.02098,              249.65058,  24.44513,       249.65301,       24.44417,    258.41922,      +8.02098,     258.41852,       +8.02145,  2822441.42, -2763086.81,  5093728.94,      52.393097,       -1.340696,   80881.52,  189829.34,   11877.02,            11845.76,  -301.39,  27926.01,           29766.75,      0.29,     -7.96,           8.65,  +0.84,  -0.55
 11,     UK0035,       0,  0.442952, 2459503.312232354656, 258.33958,   7.70851,              249.52627,  24.14343,       249.51449,       24.14808,    258.33958,      +7.70851,     258.35302,       +7.70621,  2822285.75, -2762805.91,  5092643.31,      52.389381,       -1.339532,   79833.53,  189448.89,   13009.15,            12977.89,  -401.07,  28117.70,           29598.36,     -1.41,     38.68,          42.15,  +1.18,  -0.21
 12,     UK0035,       0,  0.483160, 2459503.312232819851, 258.29102,   7.45381,              249.41087,  23.90662,       249.40377,       23.90942,    258.29102,      +7.45381,     258.30003,       +7.45242,  2822160.91, -2762580.66,  5091772.74,      52.386400,       -1.338632,   78993.11,  189150.01,   13917.02,            13885.76,  -723.29,  22579.28,           29265.59,     -0.85,     23.31,          25.44,  +1.06,  -0.32
 13,     UK0035,       0,  0.523420, 2459503.312233285978, 258.20666,   7.15473,              249.30034,  23.61300,       249.27168,       23.62430,    258.20666,      +7.15473,     258.23710,       +7.14912,  2822012.19, -2762312.33,  5090735.66,      52.382848,       -1.337528,   77992.00,  188797.22,   14998.52,            14967.26,  -873.47,  26863.00,           28987.75,     -3.44,     94.15,         102.93,  +1.99,  +0.61
 14,     UK0035,       0,  0.563540, 2459503.312233750243, 258.21521,   6.98665,              249.18863,  23.47945,       249.20316,       23.47372,    258.21521,      +6.98665,     258.20323,       +6.98950,  2821934.23, -2762171.67,  5090192.03,      52.380985,       -1.337028,   77467.12,  188619.03,   15565.44,            15534.18, -1533.96,  14130.59,           28437.24,      1.72,    -47.75,          52.25,  +3.28,  +1.90

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.