Orbital Analysis for matched events on 20210810_031426.196_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 30.80° Bg -20.97° Vg 64.28km/s
mass 0.00674g, abs. mag 1.0
Path Details
------------
start 0.13° 50.56° 109.14km
end   -0.01° 50.70° 99.60km

Orbit Details
-------------
Semimajor axis 7.08A.U., eccentricity 0.89, inclination 140.71°, Period 18.83Y, LA Sun 137.44°, last Perihelion 2002-11-15

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: 2459436.635025416967
Time: 2021-08-10 03:14:26.196026 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002C
 Convergence angle = 13.61279 deg
 R.A. =  35.92059  Dec =  -7.90655 deg
Intersection 2 - Stations: UK002B and UK0038
 Convergence angle = 26.57046 deg
 R.A. =  35.89367  Dec =  -7.95228 deg
Intersection 3 - Stations: UK002C and UK0038
 Convergence angle = 12.95769 deg
 R.A. =  35.84671  Dec =  -7.98270 deg

Best intersection: Stations UK002B and UK0038 with Qconv = 26.57 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4093414.17 +/- 104.29 m
 Y =    543595.35 +/- 166.40 m
 Z =   4986823.85 +/- 71.07 m
 Vx =    52328.66 +/- 801.31 m/s
 Vy =    38035.00 +/- 806.00 m/s
 Vz =    -8357.23 +/- 392.49 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.143261e+04, +1.786916e+04, +6.897778e+03, +3.932512e+04, +6.457304e+04, +3.182028e+04
+1.786916e+04, +2.895227e+04, +1.148832e+04, +6.530221e+04, +1.092927e+05, +5.207426e+04
+6.897778e+03, +1.148832e+04, +5.328875e+03, +2.811271e+04, +4.312940e+04, +2.193695e+04
+3.932512e+04, +6.530221e+04, +2.811271e+04, +2.157299e+05, +3.642190e+05, +1.814772e+05
+6.457304e+04, +1.092927e+05, +4.312940e+04, +3.642190e+05, +6.550837e+05, +3.085923e+05
+3.182028e+04, +5.207426e+04, +2.193695e+04, +1.814772e+05, +3.085923e+05, +1.550740e+05

Timing offsets (from input data):
    UK002B: 0.000000 s
    UK002C: -0.001699 s
    UK0038: -0.000942 s

Reference point on the trajectory:
  Time: 2021-08-10 03:14:26.196026 UTC
  Lon     = ++0.129047 +/- 0.0021 deg
  Lat     = +50.559218 +/- 0.0005 deg
  Lat geo = +50.373469 +/- 0.0005 deg
  Ht      =  109091.26 +/- 131.07 m

  JD dynamic   = 2459436.635826157872 
  LST apparent = 7.5644789824 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  36.01146 +/- 0.3498 deg
  Dec       =  -7.36107 +/- 0.4354 deg
  Azimuth   = 147.95917 +/- 0.5213 deg
  Elevation = +27.06660 +/- 0.3047 deg
  Vavg      =  62.91953 +/- 1.0269 km/s
  Vinit     =  65.22878 +/- 0.7715 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  36.24544 +/- 0.3498 deg
  Dec       =  -7.34490 +/- 0.4354 deg
  Azimuth   = 147.70808 +/- 0.5213 deg
  Elevation = +27.00266 +/- 0.3047 deg
  Vavg      =  63.06232 +/- 1.0269 km/s
  Vinit     =  65.37157 +/- 0.7715 km/s
Radiant (geocentric, J2000):
  R.A.   =  35.92144 +/- 0.3465 deg
  Dec    =  -7.94064 +/- 0.4514 deg
  Vg     =  64.27806 +/- 0.7831 km/s
  Vinf   =  65.22878 +/- 0.7715 km/s
  Zc     =  62.77599 +/- 0.3039 deg
  Zg     =  63.28923 +/- 0.3193 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  30.80206 +/- 0.5047 deg
  Bg     = -20.96899 +/- 0.3158 deg
  Vh     =  40.31000 +/- 0.5374 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  15.58577 +/- 1.2859 deg
  Bh     = -34.79334 +/- 0.6188 deg
  Vh_x   = -31.88597 +/- 0.4768 km/s
  Vh_y   =  -8.89419 +/- 0.8806 km/s
  Vh_z   =  23.00162 +/- 0.0909 km/s
Orbit:
  La Sun = 137.438681 +/- 0.0000 deg
  a      =   7.077343 +/- 2.1727 AU
  e      =   0.885436 +/- 0.0358
  i      = 140.713826 +/- 1.0407 deg
  peri   =  54.991686 +/- 3.1520 deg
  node   = 317.444320 +/- 0.0001 deg
  Pi     =  12.436005 +/- 3.1519 deg
  q      =   0.810806 +/- 0.0169 AU
  f      = 305.013364 +/- 3.1521 deg
  M      = 358.185011 +/- 1.2031 deg
  Q      =  13.343879 +/- 4.3304 AU
  n      =   0.052348 +/- 0.0297 deg/day
  T      =  18.828077 +/- 9.1676 years
  Last perihelion JD = 2452594.232517 (2002-11-15 17:34:49.460818) +/- 3350.0428 days
  Tj     =  -0.103638 +/- 0.2806
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.330035e-03, +6.178680e-04, -1.121725e+02, +9.072256e-08, -2.022637e-03, +6.669700e-04
q   , +6.178680e-04, +2.946463e-04, -4.990030e+01, +4.194375e-08, -9.598793e-04, +3.090670e-04
Tp  , -1.121725e+02, -4.990030e+01, +1.182651e+07, -7.500232e-03, +1.641350e+02, -5.454319e+01
node, +9.072256e-08, +4.194375e-08, -7.500232e-03, +6.307280e-12, -1.374920e-07, +4.638819e-08
peri, -2.022637e-03, -9.598793e-04, +1.641350e+02, -1.374920e-07, +3.130038e-03, -1.012843e-03
i   , +6.669700e-04, +3.090670e-04, -5.454319e+01, +4.638819e-08, -1.012843e-03, +3.413506e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.002297
 a2 = 38.472250

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 7.712e-06 s
  Stddev    = 2.78e-03 s

Begin point on the trajectory:
  Lon =     0.129697 +/- 0.0020 deg
  Lat =    50.558556 +/- 0.0003 deg
  Ht  = 109136.41 +/- 123.08 m
End point on the trajectory:
  Lon =    -0.009962 +/- 0.0025 deg
  Lat =    50.698831 +/- 0.0007 deg
  Ht  = 99603.31 +/- 159.63 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000002,  62.140113,   109136.41,    99998.98,          0.015019,     33.24,     19.04,              38.32, 0.3845,    True,    True, {"ff_name": "FF_UK002B_20210810_031418_283_0629248.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   8.869534,  10.016825,   108235.99,   100191.84,          0.011166,     29.56,     21.66,              22.19, 0.1427,    True,    True, {"ff_name": "FF_UK002C_20210810_031424_298_0622848.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   108680.59,    99603.31,          0.021338,     63.14,     53.52,              26.73, 0.2023,    True,    True, {"ff_name": "FF_UK0038_20210810_031418_639_0619008.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,     UK002B,       0,  0.000000, 2459436.635025416967,  56.24224,  25.19872,              104.53638,  44.11965,       104.54458,       44.14387,     56.24224,     +25.19872,      56.21929,      +25.21259,  4093493.75,   543653.19,  4986811.14,      50.558556,       +0.129697,  109136.41,  155295.19,       0.00,               99.20,    27.46,      0.00,           66638.27,    -33.58,    -58.60,          89.71,  +3.18,  +2.22
  1,     UK002B,       0,  0.040092, 2459436.635025881231,  56.61802,  25.74437,              103.67219,  44.29010,       103.67407,       44.29587,     56.61802,     +25.74437,      56.61266,      +25.74768,  4091258.94,   542028.83,  4987168.05,      50.577143,       +0.111259,  107869.24,  153102.92,    2785.73,             2686.53,    -0.37,  69483.50,           66638.27,     -7.88,    -13.75,          21.35,  +1.71,  +0.79
  2,     UK002B,       0,  0.080192, 2459436.635026345495,  57.01256,  26.30858,              102.77030,  44.45875,       102.76649,       44.44648,     57.01256,     +26.30858,      57.02444,      +26.30154,  4089006.42,   540391.58,  4987527.79,      50.595882,       +0.092655,  106592.97,  150913.35,    5593.55,             5494.35,   191.78,  70020.39,           66638.27,     16.43,     28.72,          45.22,  +1.25,  +0.36
  3,     UK002B,       0,  0.120304, 2459436.635026809759,  57.38452,  26.78282,              101.97365,  44.57252,       101.97353,       44.57211,     57.38452,     +26.78282,      57.38535,      +26.78259,  4087098.61,   539004.89,  4987832.48,      50.611756,       +0.076854,  105512.75,  149073.98,    7971.68,             7872.48,   -46.55,  59287.20,           66638.27,      0.54,      0.95,           1.51,  +1.15,  +0.28
  4,     UK002B,       0,  0.160428, 2459436.635027274024,  57.83410,  27.37453,              100.99098,  44.71937,       100.99081,       44.71877,     57.83410,     +27.37453,      57.83528,      +27.37418,  4084808.80,   537340.55,  4988198.18,      50.630813,       +0.057903,  104217.15,  146888.63,   10825.98,            10726.77,   190.51,  71136.91,           66915.98,      0.78,      1.36,           2.20,  +0.79,  -0.04
  5,     UK002B,       0,  0.200540, 2459436.635027738288,  58.25037,  27.91719,              100.08446,  44.84768,       100.08411,       44.84635,     58.25037,     +27.91719,      58.25241,      +27.91642,  4082763.85,   535854.18,  4988524.77,      50.647836,       +0.040942,  103060.91,  144955.93,   13375.05,            13275.85,   123.12,  63548.92,           66514.22,      1.70,      2.97,           4.87,  +0.76,  -0.05
  6,     UK002B,       0,  0.240668, 2459436.635028202552,  58.68726,  28.45301,               99.16521,  44.95462,        99.16839,       44.96746,     58.68726,     +28.45301,      58.67605,      +28.46046,  4080760.71,   534398.21,  4988844.69,      50.664514,       +0.024306,  101929.07,  143081.49,   15872.00,            15772.79,     2.57,  62224.54,           65910.90,    -16.17,    -28.24,          46.91,  +1.23,  +0.45
  7,     UK002B,       0,  0.280780, 2459436.635028666817,  59.12265,  29.02323,               98.21155,  45.08291,        98.21216,       45.08555,     59.12265,     +29.02323,      59.12127,      +29.02476,  4078731.64,   532923.38,  4989168.74,      50.681412,       +0.007439,  100783.34,  141202.74,   18401.28,            18302.08,   -84.60,  63055.55,           65421.63,     -3.26,     -5.70,           9.60,  +1.07,  +0.32
  8,     UK002B,       0,  0.320888, 2459436.635029131081,  59.46385,  29.40112,               97.53351,  45.13276,        97.54048,       45.16459,     59.46385,     +29.40112,      59.43495,      +29.41971,  4077341.84,   531913.20,  4989390.70,      50.692988,       -0.004177,   99998.98,  139925.22,   20133.70,            20034.49,  -968.38,  43193.78,           63711.65,    -39.08,    -68.24,         115.93,  +4.02,  +3.29
  0,     UK002C,       0,  0.022602, 2459436.635025579948,  51.58166,   8.51349,              122.02557,  33.03016,       122.03046,       33.04814,     51.58166,      +8.51349,      51.56843,       +8.52648,  4091905.92,   542499.08,  4987064.72,      50.571762,       +0.116659,  108235.99,  194477.11,       0.00,             1880.06,   333.99,      0.00,           59574.81,    -37.01,    -50.48,          66.39,  +2.91,  +1.47
  1,     UK002C,       0,  0.062570, 2459436.635026042350,  51.76796,   8.73128,              121.70064,  33.11513,       121.70010,       33.11315,     51.76796,      +8.73128,      51.76959,       +8.72984,  4089870.61,   541019.72,  4987389.78,      50.588692,       +0.099840,  107082.51,  192122.22,    2537.06,             4417.12,   263.99,  63477.21,           59574.81,      4.04,      5.52,           7.34,  +2.65,  +1.23
  2,     UK002C,       0,  0.102566, 2459436.635026505683,  51.95218,   8.89638,              121.41128,  33.15621,       121.41465,       33.16888,     51.95218,      +8.89638,      51.94319,       +8.90553,  4088151.36,   539770.08,  4987664.35,      50.602996,       +0.085592,  106108.74,  190135.48,    4680.14,             6560.20,  -201.82,  53582.45,           59574.81,    -25.46,    -34.75,          46.73,  +2.06,  +0.66
  3,     UK002C,       0,  0.142530, 2459436.635026968084,  52.14651,   9.12636,              121.06973,  33.24591,       121.06696,       33.23537,     52.14651,      +9.12636,      52.15477,       +9.11875,  4086110.10,   538286.40,  4987990.35,      50.619982,       +0.068691,  104953.31,  187782.84,    7224.62,             9104.68,  -264.15,  63669.22,           59574.81,     20.90,     28.54,          38.85,  +1.48,  +0.11
  4,     UK002C,       0,  0.182530, 2459436.635027430952,  52.39094,   9.35025,              120.68198,  33.30289,       120.68314,       33.30736,     52.39094,      +9.35025,      52.38832,       +9.35348,  4083918.95,   536693.76,  4988340.30,      50.638220,       +0.050541,  103713.91,  185263.87,    9955.93,            11835.99,  -141.98,  68282.85,           61526.89,     -8.75,    -11.94,          16.48,  +1.62,  +0.28
  5,     UK002C,       0,  0.222494, 2459436.635027893353,  52.61732,   9.60257,              120.29316,  33.39251,       120.28993,       33.37978,     52.61732,      +9.60257,      52.62751,       +9.59340,  4081737.82,   535108.41,  4988688.64,      50.656378,       +0.032453,  102481.07,  182762.61,   12674.76,            14554.82,   -29.96,  68031.87,           63013.33,     24.52,     33.49,          46.85,  +1.65,  +0.34
  6,     UK002C,       0,  0.262498, 2459436.635028356686,  52.86385,   9.82106,              119.90619,  33.44204,       119.90791,       33.44896,     52.86385,      +9.82106,      52.85977,       +9.82606,  4079676.97,   533610.49,  4989017.77,      50.673539,       +0.015333,  101317.03,  180404.74,   15243.65,            17123.71,   -70.48,  64215.81,           63673.20,    -13.15,    -17.95,          25.44,  +2.11,  +0.83
  7,     UK002C,       0,  0.302466, 2459436.635028819088,  53.08122,  10.06480,              119.53098,  33.52760,       119.52826,       33.51651,     53.08122,     +10.06480,      53.09052,      +10.05681,  4077683.59,   532161.60,  4989336.12,      50.690141,       -0.001248,  100191.84,  178129.51,   17728.44,            19608.50,  -192.75,  62169.58,           63822.84,     20.78,     28.38,          40.73,  +2.37,  +1.12
  0,     UK0038,       0,  0.002072, 2459436.635025448166,  58.48155,   7.10494,              115.76418,  27.76332,       115.76363,       27.77649,     58.48155,      +7.10494,      58.47439,       +7.11607,  4092690.05,   543069.02,  4986939.49,      50.565240,       +0.123118,  108680.59,  226218.65,       0.00,              902.62,   695.70,      0.00,           56722.94,    -33.63,    -39.69,          47.43,  +4.88,  +3.11
  1,     UK0038,       0,  0.042024, 2459436.635025910567,  58.73128,   7.21580,              115.46259,  27.71398,       115.46011,       27.76760,     58.73128,      +7.21580,      58.70251,       +7.26116,  4090801.50,   541696.34,  4987241.11,      50.580948,       +0.107506,  107609.98,  224108.26,    2354.12,             3256.74,   443.79,  58923.63,           56722.94,   -135.73,   -160.09,         193.17,  +3.29,  +1.54
  2,     UK0038,       0,  0.081900, 2459436.635026372038,  58.88022,   7.39123,              115.21254,  27.77420,       115.21319,       27.76013,     58.88022,      +7.39123,      58.88812,       +7.37934,  4089288.73,   540596.78,  4987482.71,      50.593533,       +0.094957,  106752.87,  222419.57,    4239.81,             5142.44,  -271.57,  47289.00,           56722.94,     35.33,     41.72,          50.70,  +2.23,  +0.49
  3,     UK0038,       0,  0.121828, 2459436.635026833974,  59.16613,   7.53591,              114.85618,  27.73127,       114.85534,       27.74797,     59.16613,      +7.53591,      59.15757,       +7.55004,  4087140.04,   539035.01,  4987825.87,      50.611411,       +0.077185,  105536.20,  220030.58,    6918.21,             7820.83,  -197.63,  67080.59,           56722.94,    -41.50,    -48.98,          60.18,  +2.46,  +0.75
  4,     UK0038,       0,  0.161712, 2459436.635027295910,  59.44842,   7.72831,              114.47258,  27.72883,       114.47231,       27.73387,     59.44842,      +7.72831,      59.44632,       +7.73257,  4084890.48,   537399.92,  4988185.13,      50.630133,       +0.058566,  104263.34,  217537.27,    9722.32,            10624.95,     4.90,  70306.83,           60159.48,    -12.39,    -14.62,          18.17,  +2.12,  +0.43
  5,     UK0038,       0,  0.201624, 2459436.635027757846,  59.71085,   7.88753,              114.12884,  27.70982,       114.12824,       27.72046,     59.71085,      +7.88753,      59.70590,       +7.89654,  4082911.17,   535961.26,  4988501.24,      50.646609,       +0.042145,  103144.17,  215348.80,   12189.58,            13092.20,  -131.26,  61817.31,           61378.63,    -25.88,    -30.55,          38.35,  +2.05,  +0.38
  6,     UK0038,       0,  0.241520, 2459436.635028219316,  60.01825,   8.07448,              113.72619,  27.68715,       113.72520,       27.70347,     60.01825,      +8.07448,      60.01041,       +8.08830,  4080643.30,   534312.86,  4988863.44,      50.665492,       +0.023334,  101862.75,  212850.31,   15016.53,            15919.16,    93.33,  70858.10,           62829.42,    -39.23,    -46.30,          58.81,  +1.75,  +0.11
  7,     UK0038,       0,  0.281420, 2459436.635028681252,  60.26329,   8.24113,              113.39387,  27.68287,       113.39350,       27.68886,     60.26329,      +8.24113,      60.26118,       +8.24621,  4078813.68,   532983.01,  4989155.64,      50.680729,       +0.008110,  100829.64,  210838.97,   17297.18,            18199.81,  -228.65,  57159.15,           62961.55,    -14.27,    -16.85,          21.60,  +2.43,  +0.81
  8,     UK0038,       0,  0.321312, 2459436.635029143188,  60.57069,   8.42797,              112.99175,  27.65864,       112.99101,       27.66981,     60.57069,      +8.42797,      60.56595,       +8.43745,  4076640.41,   531403.37,  4989502.73,      50.698831,       -0.009962,   99603.31,  208458.99,   20006.22,            20908.85,  -121.72,  67909.31,           63352.94,    -26.33,    -31.08,          40.30,  +4.80,  +3.20

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.