Orbital Analysis for matched events on 20210816_013224.972_UK

Summary for Event
-----------------
shower ID 5 SDA
Lg 358.39° Bg -7.73° Vg 34.39km/s
mass 0.21745g, abs. mag -1.3
Path Details
------------
start 2.26° 52.84° 93.63km
end   2.20° 52.97° 85.10km

Orbit Details
-------------
Semimajor axis 1.05A.U., eccentricity 0.93, inclination 25.39°, Period 1.08Y, LA Sun 143.13°, last Perihelion 2020-08-24

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: 2459442.564177928027
Time: 2021-08-16 01:32:24.972982 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 13.09501 deg
 R.A. =   1.83559  Dec =  -6.30529 deg
Intersection 2 - Stations: UK002F and UK0032
 Convergence angle = 0.98772 deg
 R.A. =   6.90861  Dec =  -3.33218 deg
Intersection 3 - Stations: UK002K and UK0032
 Convergence angle = 12.11287 deg
 R.A. =   1.37312  Dec =  -6.44676 deg

Best intersection: Stations UK002F and UK002K with Qconv = 13.10 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3858192.02 +/- 436.76 m
 Y =   -678251.27 +/- 600.21 m
 Z =   5134510.54 +/- 283.25 m
 Vx =    35922.69 +/- 1616.50 m/s
 Vy =     1038.18 +/- 2514.49 m/s
 Vz =    -3775.60 +/- 1230.11 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.673823e+04, +1.188430e+05, +5.344443e+04, +2.246559e+05, +3.732379e+05, +1.816283e+05
+1.188430e+05, +1.677033e+05, +7.524178e+04, +3.175693e+05, +5.268500e+05, +2.536585e+05
+5.344443e+04, +7.524178e+04, +3.571596e+04, +1.546511e+05, +2.551253e+05, +1.279785e+05
+2.246559e+05, +3.175693e+05, +1.546511e+05, +7.959095e+05, +1.293981e+06, +6.498050e+05
+3.732379e+05, +5.268500e+05, +2.551253e+05, +1.293981e+06, +2.165596e+06, +1.085791e+06
+1.816283e+05, +2.536585e+05, +1.279785e+05, +6.498050e+05, +1.085791e+06, +5.621421e+05

Timing offsets (from input data):
    UK002F: -0.005618 s
    UK002K: 0.003857 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 01:32:24.972982 UTC
  Lon     = ++2.255260 +/- 0.0097 deg
  Lat     = +52.841059 +/- 0.0009 deg
  Lat geo = +52.658319 +/- 0.0009 deg
  Ht      =   93600.61 +/- 420.89 m

  JD dynamic   = 2459442.564978668932 
  LST apparent = 350.0295579926 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   1.65542 +/- 4.0145 deg
  Dec       =  -5.99748 +/- 2.1840 deg
  Azimuth   = 166.57214 +/- 4.7176 deg
  Elevation = +30.33981 +/- 1.8058 deg
  Vavg      =  34.93021 +/- 1.1238 km/s
  Vinit     =  36.13548 +/- 1.2636 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   2.10078 +/- 4.0145 deg
  Dec       =  -5.98778 +/- 2.1840 deg
  Azimuth   = 166.06278 +/- 4.7176 deg
  Elevation = +30.28578 +/- 1.8058 deg
  Vavg      =  34.98854 +/- 1.1238 km/s
  Vinit     =  36.19381 +/- 1.2636 km/s
Radiant (geocentric, J2000):
  R.A.   =   1.61144 +/- 4.0871 deg
  Dec    =  -7.72622 +/- 2.3807 deg
  Vg     =  34.38512 +/- 1.3290 km/s
  Vinf   =  36.13548 +/- 1.2636 km/s
  Zc     =  59.48245 +/- 1.8035 deg
  Zg     =  61.10737 +/- 1.9943 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 358.38620 +/- 4.6783 deg
  Bg     =  -7.72573 +/- 0.5976 deg
  Vh     =  30.15017 +/- 1.4079 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 304.04944 +/- 4.9955 deg
  Bh     =  -8.81887 +/- 0.2302 deg
  Vh_x   = -16.68175 +/- 1.6103 km/s
  Vh_y   =  24.68574 +/- 2.5861 km/s
  Vh_z   =   4.62236 +/- 0.1827 km/s
Orbit:
  La Sun = 143.131888 +/- 0.0000 deg
  a      =   1.052296 +/- 0.1774 AU
  e      =   0.933958 +/- 0.0246
  i      =  25.393329 +/- 6.0117 deg
  peri   = 158.226192 +/- 7.9663 deg
  node   = 323.126145 +/- 0.0019 deg
  Pi     = 121.352337 +/- 7.9681 deg
  q      =   0.069496 +/- 0.0472 AU
  f      = 201.781602 +/- 7.9680 deg
  M      = 325.779590 +/- 4.3070 deg
  Q      =   2.035096 +/- 0.3082 AU
  n      =   0.913056 +/- 0.1347 deg/day
  T      =   1.079463 +/- 0.3165 years
  Last perihelion JD = 2459085.763436 (2020-08-24 06:19:20.908207) +/- 114.4676 days
  Tj     =   5.235984 +/- 0.4392
Shower association:
  IAU No.  =    5
  IAU code =  SDA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.647341e-04, -3.728769e-04, +6.431212e-01, +3.177574e-07, +1.216793e-03, +1.142433e-03
q   , -3.728769e-04, +5.575557e-04, -1.034980e+00, -4.497440e-07, -1.787232e-03, -1.543227e-03
Tp  , +6.431212e-01, -1.034980e+00, +2.089715e+03, +7.834844e-04, +3.257912e+00, +2.533906e+00
node, +3.177574e-07, -4.497440e-07, +7.834844e-04, +3.991538e-10, +1.469405e-06, +1.447000e-06
peri, +1.216793e-03, -1.787232e-03, +3.257912e+00, +1.469405e-06, +5.766657e-03, +5.131104e-03
i   , +1.142433e-03, -1.543227e-03, +2.533906e+00, +1.447000e-06, +5.131104e-03, +5.509820e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.388366
 a2 = 12.793040

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 1.957e-06 s
  Stddev    = 1.40e-03 s

Begin point on the trajectory:
  Lon =     2.255405 +/- 0.0097 deg
  Lat =    52.840693 +/- 0.0007 deg
  Ht  = 93625.48 +/- 415.37 m
End point on the trajectory:
  Lon =     2.203622 +/- 0.0096 deg
  Lat =    52.966545 +/- 0.0002 deg
  Ht  = 85099.99 +/- 377.61 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,  60.178803,    92359.07,    87414.25,          0.024469,    111.95,     44.88,              86.93, 0.9971,    True,    True, {"ff_name": "FF_UK002F_20210816_013215_366_0486144.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,    91036.86,    87526.90,          0.016026,     48.89,     32.42,              44.89, 0.4982,    True,    True, {"ff_name": "FF_UK002K_20210816_013216_703_0485120.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.554134,  14.701226,    93625.48,    85099.99,          0.020623,     58.85,     24.81,              58.51, 0.7272,    True,    True, {"ff_name": "FF_UK0032_20210816_013223_499_0491008.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,     UK002F,       0,  0.064155, 2459442.564178681932,  85.33541,  29.64855,               64.43648,  17.84844,        64.42888,       17.86024,     85.33541,     +29.64855,      85.33310,      +29.66224,  3855747.98,  -678321.91,  5134767.42,      52.859339,       +2.247777,   92359.07,  282654.63,       0.00,             2458.52,    58.42,      0.00,           35710.48,    -25.45,     63.34,          49.82,  +2.14,  -0.12
  1,     UK002F,       0,  0.104275, 2459442.564179146197,  85.65455,  29.72378,               64.16222,  17.72873,        64.17303,       17.71198,     85.65455,     +29.72378,      85.65794,      +29.70432,  3854350.23,  -678362.30,  5134914.33,      52.869797,       +2.243482,   91649.33,  282587.11,    1406.03,             3864.55,    14.69,  35045.55,           35710.48,     36.10,    -89.99,          70.77,  +1.83,  -0.43
  2,     UK002F,       0,  0.144427, 2459442.564179610927,  85.99179,  29.76248,               63.89995,  17.57134,        63.90854,       17.55806,     85.99179,     +29.76248,      85.99463,      +29.74703,  3852903.32,  -678404.12,  5135066.40,      52.880624,       +2.239038,   90914.85,  282524.93,    2861.50,             5320.02,    19.26,  36249.19,           35710.48,     28.64,    -71.38,          56.15,  +1.73,  -0.53
  3,     UK002F,       0,  0.184571, 2459442.564180075657,  86.32255,  29.80788,               63.63780,  17.42316,        63.64873,       17.40630,     86.32255,     +29.80788,      86.32617,      +29.78824,  3851480.36,  -678445.24,  5135215.96,      52.891275,       +2.234661,   90192.75,  282470.95,    4292.90,             6751.42,     0.03,  35656.49,           35710.48,     36.40,    -90.75,          71.40,  +1.61,  -0.64
  4,     UK002F,       0,  0.224707, 2459442.564180540387,  86.64693,  29.86460,               63.37266,  17.28769,        63.39302,       17.25636,     86.64693,     +29.86460,      86.65329,      +29.82806,  3850078.03,  -678485.77,  5135363.35,      52.901773,       +2.230343,   89481.34,  282424.72,    5703.53,             8162.05,   -39.67,  35146.36,           35610.23,     67.62,   -168.71,         132.74,  +1.46,  -0.79
  5,     UK002F,       0,  0.264887, 2459442.564181005117,  87.01218,  29.87324,               63.11096,  17.09304,        63.11230,       17.09098,     87.01218,     +29.87324,      87.01339,      +29.87083,  3848535.89,  -678530.34,  5135525.44,      52.913321,       +2.225608,   88699.25,  282383.02,    7254.81,             9713.32,    59.68,  38608.12,           36010.30,      4.46,    -11.11,           8.75,  +1.63,  -0.62
  6,     UK002F,       0,  0.305015, 2459442.564181469847,  87.32455,  29.92488,               62.85776,  16.96119,        62.86745,       16.94634,     87.32455,     +29.92488,      87.32814,      +29.90752,  3847189.62,  -678569.25,  5135666.93,      52.923403,       +2.221450,   88016.70,  282352.35,    8609.05,            11067.57,   -36.12,  33748.15,           35910.85,     32.12,    -80.08,          63.03,  +2.81,  +0.56
  7,     UK002F,       0,  0.345119, 2459442.564181933645,  87.59882,  29.98271,               62.62727,  16.85544,        62.65145,       16.81846,     87.59882,     +29.98271,      87.60632,      +29.93943,  3846001.04,  -678603.60,  5135791.86,      52.932307,       +2.217757,   87414.25,  282329.56,    9804.67,            12263.19,  -289.68,  29812.87,           35361.82,     79.95,   -199.56,         157.06,  +3.13,  +0.88
  0,     UK002K,       0,  0.139984, 2459442.564179620706,  45.93433,   7.74794,              111.66459,  24.56554,       111.65670,       24.58782,     45.93433,      +7.74794,      45.92814,       +7.77044,  3853143.71,  -678397.17,  5135041.14,      52.878825,       +2.239745,   91036.86,  211824.19,       0.00,             5078.21,   -61.99,      0.00,           36431.54,    -47.88,     72.11,          84.28,  +3.72,  +2.09
  1,     UK002K,       0,  0.180012, 2459442.564180084039,  46.24148,   7.87267,              111.31051,  24.49918,       111.31444,       24.48814,     46.24148,      +7.87267,      46.24522,       +7.86152,  3851481.75,  -678445.20,  5135215.82,      52.891264,       +2.234662,   90193.47,  210662.28,    1671.80,             6750.01,   163.38,  41765.73,           36431.54,     23.58,    -35.57,          41.78,  +3.32,  +1.70
  2,     UK002K,       0,  0.220056, 2459442.564180547372,  46.47553,   7.93902,              111.05863,  24.42448,       111.06227,       24.41433,     46.47553,      +7.93902,      46.47917,       +7.92876,  3850265.41,  -678480.35,  5135343.66,      52.900370,       +2.230895,   89576.38,  209813.75,    2895.35,             7973.56,   -60.08,  30555.06,           36431.54,     21.59,    -32.57,          38.42,  +2.62,  +1.01
  3,     UK002K,       0,  0.260104, 2459442.564181011170,  46.77474,   8.03236,              110.73180,  24.33565,       110.73800,       24.31844,     46.77474,      +8.03236,      46.78060,       +8.01495,  3848715.32,  -678525.15,  5135506.58,      52.911977,       +2.226137,   88790.24,  208740.44,    4454.61,             9532.83,    52.03,  38934.98,           36431.54,     36.45,    -55.01,          65.20,  +1.57,  -0.03
  4,     UK002K,       0,  0.300156, 2459442.564181474503,  47.05481,   8.10894,              110.43294,  24.24317,       110.43805,       24.22907,     47.05481,      +8.10894,      47.05993,       +8.09466,  3847292.90,  -678566.26,  5135656.08,      52.922630,       +2.221754,   88069.06,  207760.19,    5885.47,            10963.68,    35.58,  35724.86,           36344.68,     29.74,    -44.88,          53.45,  +2.66,  +1.07
  5,     UK002K,       0,  0.340196, 2459442.564181938302,  47.26635,   8.16851,              110.20641,  24.17451,       110.21125,       24.16124,     47.26635,      +8.16851,      47.27139,       +8.15505,  3846223.33,  -678597.17,  5135768.50,      52.930642,       +2.218415,   87526.90,  207024.20,    6961.37,            12039.58,  -335.38,  26870.74,           34966.56,     27.93,    -42.14,          50.37,  +3.92,  +2.34
  0,     UK0032,       0,  0.000000, 2459442.564177928027,  54.73385,  21.00647,               95.03110,  30.39674,        95.03180,       30.39495,     54.73385,     +21.00647,      54.73432,      +21.00472,  3858240.95,  -678249.86,  5134505.40,      52.840693,       +2.255405,   93625.48,  181302.33,       0.00,               49.23,   -32.58,      0.00,           37210.84,      2.32,     -5.50,           6.79,  +2.92,  +1.63
  1,     UK0032,       0,  0.040132, 2459442.564178392291,  55.11916,  21.12401,               94.62448,  30.25562,        94.61661,       30.27562,     55.11916,     +21.12401,      55.11085,      +21.14370,  3856851.65,  -678290.01,  5134651.42,      52.851083,       +2.251139,   92919.64,  180569.48,    1397.53,             1348.30,  -183.70,  34823.29,           37210.84,    -25.87,     61.34,          76.04,  +1.91,  +0.63
  2,     UK0032,       0,  0.080256, 2459442.564178856555,  55.54837,  21.28177,               94.15276,  30.11869,        94.14509,       30.13793,     55.54837,     +21.28177,      55.54057,      +21.30076,  3855283.46,  -678335.33,  5134816.24,      52.862814,       +2.246343,   92123.18,  179753.03,    2975.01,             2925.78,   -56.12,  39315.08,           37210.84,    -24.80,     58.82,          73.25,  +1.07,  -0.20
  3,     UK0032,       0,  0.120384, 2459442.564179321285,  55.95754,  21.42206,               93.71175,  29.98016,        93.70113,       30.00650,     55.95754,     +21.42206,      55.94706,      +21.44812,  3853815.71,  -678377.75,  5134970.51,      52.873796,       +2.241839,   91377.97,  178997.49,    4451.45,             4402.23,   -29.72,  36793.36,           37210.84,    -33.88,     80.32,         100.45,  +0.98,  -0.28
  4,     UK0032,       0,  0.160508, 2459442.564179785550,  56.36741,  21.55695,               93.27535,  29.83685,        93.26015,       29.87414,     56.36741,     +21.55695,      56.35270,      +21.59393,  3852366.01,  -678419.65,  5135122.88,      52.884646,       +2.237386,   90642.16,  178260.03,    5909.74,             5860.51,   -21.33,  36344.52,           37065.99,    -47.85,    113.39,         142.41,  +0.95,  -0.31
  5,     UK0032,       0,  0.200608, 2459442.564180249814,  56.76774,  21.72845,               92.82056,  29.72697,        92.81565,       29.73889,     56.76774,     +21.72845,      56.76350,      +21.74029,  3850912.89,  -678461.64,  5135275.61,      52.895523,       +2.232919,   89904.84,  177529.83,    7371.47,             7322.25,    -8.63,  36452.24,           36936.98,    -15.22,     36.13,          45.55,  +1.01,  -0.24
  6,     UK0032,       0,  0.240732, 2459442.564180714078,  57.18722,  21.86771,               92.37530,  29.58079,        92.36710,       29.60051,     57.18722,     +21.86771,      57.18004,      +21.88735,  3849454.47,  -678503.79,  5135428.89,      52.906442,       +2.228434,   89165.07,  176806.17,    8838.53,             8789.31,     8.53,  36563.13,           36850.84,    -25.13,     59.62,          75.48,  +1.00,  -0.24
  7,     UK0032,       0,  0.280844, 2459442.564181178343,  57.59761,  22.01869,               91.92983,  29.44881,        91.92426,       29.46206,     57.59761,     +22.01869,      57.59322,      +22.03193,  3848022.26,  -678545.18,  5135579.42,      52.917167,       +2.224023,   88438.82,  176104.37,   10279.23,            10230.00,    -0.24,  35916.76,           36737.12,    -16.85,     39.99,          50.83,  +1.01,  -0.22
  8,     UK0032,       0,  0.320960, 2459442.564181642607,  58.01462,  22.17045,               91.47955,  29.31326,        91.47660,       29.32022,     58.01462,     +22.17045,      58.01292,      +22.17741,  3846581.93,  -678586.81,  5135730.81,      52.927955,       +2.219585,   87708.68,  175407.79,   11728.08,            11678.86,    -0.99,  36116.70,           36642.69,     -8.82,     20.94,          26.72,  +1.41,  +0.19
  9,     UK0032,       0,  0.361092, 2459442.564182107337,  58.42735,  22.28621,               91.06066,  29.15280,        91.04783,       29.18268,     58.42735,     +22.28621,      58.41677,      +22.31619,  3845209.22,  -678626.48,  5135875.08,      52.938239,       +2.215345,   87013.01,  174752.07,   13108.93,            13059.70,   -70.34,  34407.61,           36472.66,    -37.81,     89.69,         114.88,  +1.73,  +0.52
 10,     UK0032,       0,  0.401160, 2459442.564182570670,  58.79879,  22.46695,               90.62757,  29.06639,        90.63521,       29.04875,     58.79879,     +22.46695,      58.80715,      +22.44921,  3843894.29,  -678664.48,  5136013.29,      52.948092,       +2.211274,   86346.83,  174131.55,   14431.64,            14382.42,  -195.50,  33011.67,           36222.83,     22.23,    -52.86,          67.93,  +2.33,  +1.13
 11,     UK0032,       0,  0.441280, 2459442.564183035400,  59.16035,  22.56030,               90.26839,  28.91953,        90.26496,       28.92739,     59.16035,     +22.56030,      59.15884,      +22.56821,  3842719.29,  -678698.44,  5136136.78,      52.956898,       +2.207615,   85751.66,  173582.66,   15613.61,            15564.38,  -463.29,  29460.76,           35818.59,     -9.89,     23.48,          30.27,  +2.63,  +1.43
 12,     UK0032,       0,  0.481384, 2459442.564183499198,  59.54741,  22.69390,               89.85970,  28.78778,        89.85774,       28.79223,     59.54741,     +22.69390,      59.54741,      +22.69839,  3841432.34,  -678735.64,  5136272.05,      52.966545,       +2.203622,   85099.99,  172989.74,   16908.18,            16858.95,  -617.90,  32280.38,           35457.65,     -5.59,     13.27,          17.17,  +3.98,  +2.79

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.