Orbital Analysis for matched events on 20210904_020933.265_UK

Summary for Event
-----------------
shower ID 208 SPE
Lg 50.83° Bg 22.64° Vg 63.13km/s
mass 0.02247g, abs. mag -1.0
Path Details
------------
start -1.29° 49.57° 108.04km
end   -1.36° 49.58° 94.44km

Orbit Details
-------------
Semimajor axis 8.45A.U., eccentricity 0.91, inclination 135.79°, Period 24.55Y, LA Sun 161.48°, last Perihelion 1997-03-23

Full details below
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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459461.589968349319
Time: 2021-09-04 02:09:33.265381 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0009 and UK002D
 Convergence angle = 19.29856 deg
 R.A. =  41.12826  Dec = +39.43171 deg
Intersection 2 - Stations: UK0009 and UK003C
 Convergence angle = 84.24375 deg
 R.A. =  40.84850  Dec = +39.18113 deg
Intersection 3 - Stations: UK002D and UK003C
 Convergence angle = 76.45802 deg
 R.A. =  40.96738  Dec = +39.11654 deg

Best intersection: Stations UK0009 and UK003C with Qconv = 84.24 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4079943.36 +/- 77.06 m
 Y =   1057084.37 +/- 22.61 m
 Z =   4914030.71 +/- 32.94 m
 Vx =    37166.28 +/- 413.81 m/s
 Vy =    32295.36 +/- 212.95 m/s
 Vz =    41037.05 +/- 410.02 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.342280e+03, +1.439014e+03, -1.493435e+03, +2.879811e+04, +6.944288e+03, -5.188488e+03
+1.439014e+03, +5.395691e+02, -1.920208e+02, +5.522578e+03, +1.773119e+03, -1.518471e+03
-1.493435e+03, -1.920208e+02, +1.160987e+03, -9.320863e+03, -3.119546e+03, +2.320658e+03
+2.879811e+04, +5.522578e+03, -9.320863e+03, +1.796603e+05, +5.459823e+04, -2.849972e+04
+6.944288e+03, +1.773119e+03, -3.119546e+03, +5.459823e+04, +2.444705e+04, -1.119777e+04
-5.188488e+03, -1.518471e+03, +2.320658e+03, -2.849972e+04, -1.119777e+04, +1.199853e+04

Timing offsets (from input data):
    UK0009: 0.000000 s
    UK0022: 0.000000 s
    UK002D: 0.000323 s
    UK003C: 0.000135 s

Reference point on the trajectory:
  Time: 2021-09-04 02:09:33.265381 UTC
  Lon     = +-1.286053 +/- 0.0002 deg
  Lat     = +49.567913 +/- 0.0007 deg
  Lat geo = +49.381003 +/- 0.0007 deg
  Ht      =  108037.47 +/- 43.56 m

  JD dynamic   = 2459461.590769090224 
  LST apparent = 14.5255235767 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  40.98876 +/- 0.2140 deg
  Dec       = +39.80961 +/- 0.2763 deg
  Azimuth   = 107.54471 +/- 0.8590 deg
  Elevation = +68.96009 +/- 0.0912 deg
  Vavg      =  60.50858 +/- 0.1589 km/s
  Vinit     =  64.09650 +/- 0.2679 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  41.30804 +/- 0.2140 deg
  Dec       = +39.73092 +/- 0.2763 deg
  Azimuth   = 107.31693 +/- 0.8590 deg
  Elevation = +68.71585 +/- 0.0912 deg
  Vavg      =  60.61444 +/- 0.1589 km/s
  Vinit     =  64.20236 +/- 0.2679 km/s
Radiant (geocentric, J2000):
  R.A.   =  40.81544 +/- 0.2163 deg
  Dec    = +39.62375 +/- 0.2776 deg
  Vg     =  63.12863 +/- 0.2720 km/s
  Vinf   =  64.09650 +/- 0.2679 km/s
  Zc     =  20.98429 +/- 0.0900 deg
  Zg     =  21.14574 +/- 0.0902 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  50.83236 +/- 0.2590 deg
  Bg     = +22.63602 +/- 0.2185 deg
  Vh     =  40.67139 +/- 0.2665 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  31.47759 +/- 0.2599 deg
  Bh     = +36.68647 +/- 0.4620 deg
  Vh_x   = -27.81558 +/- 0.4119 km/s
  Vh_y   = -17.03045 +/- 0.1159 km/s
  Vh_z   = -24.29855 +/- 0.1402 km/s
Orbit:
  La Sun = 161.484593 +/- 0.0000 deg
  a      =   8.447356 +/- 3.9591 AU
  e      =   0.913866 +/- 0.0180
  i      = 135.794853 +/- 0.3981 deg
  peri   = 245.377594 +/- 0.2934 deg
  node   = 161.483979 +/- 0.0000 deg
  Pi     =  46.861573 +/- 0.2933 deg
  q      =   0.727605 +/- 0.0036 AU
  f      = 294.619403 +/- 0.2934 deg
  M      = 358.492113 +/- 0.4073 deg
  Q      =  16.167107 +/- 7.9209 AU
  n      =   0.040144 +/- 0.0107 deg/day
  T      =  24.551714 +/- 22.1618 years
  Last perihelion JD = 2450531.482884 (1997-03-23 23:35:21.172978) +/- 8094.9908 days
  Tj     =  -0.125537 +/- 0.1346
Shower association:
  IAU No.  =  208
  IAU code =  SPE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.443447e-04, -5.329532e-05, -1.440708e+02, -8.848905e-09, -2.352243e-06, +1.163343e-04
q   , -5.329532e-05, +1.378945e-05, +2.299103e+01, +1.700510e-09, -1.219686e-05, -2.237719e-05
Tp  , -1.440708e+02, +2.299103e+01, +6.800079e+07, +3.560119e-03, -7.068905e-01, -4.666151e+01
node, -8.848905e-09, +1.700510e-09, +3.560119e-03, +2.995467e-13, -6.833196e-10, -3.943604e-09
peri, -2.352243e-06, -1.219686e-05, -7.068905e-01, -6.833196e-10, +2.849552e-05, +9.029458e-06
i   , +1.163343e-04, -2.237719e-05, -4.666151e+01, -3.943604e-09, +9.029458e-06, +5.192397e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.510876
 a2 = 30.765294

Mean time residuals from time vs. length:
  Station with reference time: UK0009
  Avg. res. = 2.143e-06 s
  Stddev    = 1.46e-03 s

Begin point on the trajectory:
  Lon =    -1.286053 +/- 0.0002 deg
  Lat =    49.567913 +/- 0.0007 deg
  Ht  = 108037.46 +/- 37.63 m
End point on the trajectory:
  Lon =    -1.355000 +/- 0.0002 deg
  Lat =    49.581861 +/- 0.0003 deg
  Ht  = 94442.94 +/- 13.23 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
    UK0009,   False,    -0.848117,    51.261084,   92.00,   0.039029,  41.100565,   108037.46,    94442.94,          0.006880,     25.82,      2.44,              58.55, 0.7278,    True,    True, {"ff_name": "FF_UK0009_20210904_020928_722_0442368.fits"}
    UK0022,    True,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,   109728.84,   100827.21,          2.334232,       nan,       nan,              58.55, 0.0000,    True,    True, {"ff_name": "FF_UK0022_20210904_020925_723_0323072.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   106784.14,    95261.64,          0.006549,     23.89,      9.77,              52.73, 0.6333,    True,    True, {"ff_name": "FF_UK002D_20210904_020933_092_0609792.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,   0.000000,   0.000000,   103187.41,    96505.24,          0.010577,     27.01,     46.49,              46.05, 0.5183,    True,    True, {"ff_name": "FF_UK003C_20210904_020930_498_0595200.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,     UK0009,       0,  0.000000, 2459461.589968349319,   6.44340,  -9.87466,              189.55314,  28.42008,       189.55314,       28.42008,      6.44340,      -9.87466,       6.44340,       -9.87466,  4079943.36,  1057084.37,  4914030.71,      49.567913,       -1.286053,  108037.46,  220704.16,       0.00,                0.00,    -1.27,      0.00,           63028.62,     -0.00,     -0.00,           0.00,  +2.20,  +0.48
  1,     UK0009,       0,  0.039660, 2459461.589968808461,   6.14019, -10.37379,              189.82916,  27.89187,       189.82839,       27.89156,      6.14019,     -10.37379,       6.14101,      -10.37417,  4078442.54,  1055780.25,  4912373.58,      49.570390,       -1.298269,  105621.75,  219387.89,    2588.30,             2588.30,    44.96,  65262.20,           63028.62,      0.27,      2.84,           2.68,  +1.39,  -0.32
  2,     UK0009,       0,  0.079332, 2459461.589969267603,   5.84591, -10.83623,              190.09621,  27.40039,       190.08424,       27.39561,      5.84591,     -10.83623,       5.85645,      -10.84217,  4077051.65,  1054571.65,  4910837.84,      49.572686,       -1.309611,  103383.11,  218188.57,    4987.00,             4987.00,   -99.18,  60463.34,           63028.62,      4.18,     44.17,          41.95,  +0.83,  -0.86
  3,     UK0009,       0,  0.119004, 2459461.589969726745,   5.54732, -11.34327,              190.35883,  26.86343,       190.35628,       26.86242,      5.54732,     -11.34327,       5.55000,      -11.34454,  4075574.44,  1053288.03,  4909206.77,      49.575125,       -1.321657,  101005.62,  216936.57,    7534.59,             7534.59,   -94.43,  64216.22,           63028.62,      0.89,      9.37,           8.95,  +0.49,  -1.19
  4,     UK0009,       0,  0.158632, 2459461.589970185421,   5.21416, -11.87591,              190.65188,  26.29641,       190.64348,       26.29306,      5.21416,     -11.87591,       5.22207,      -11.88012,  4074016.95,  1051934.67,  4907487.08,      49.577697,       -1.334358,   98499.07,  215641.26,   10220.60,            10220.60,    51.57,  67780.80,           64011.35,      2.92,     30.90,          29.69,  +0.23,  -1.44
  5,     UK0009,       0,  0.198324, 2459461.589970644563,   4.93100, -12.35155,              190.89448,  25.79105,       190.89456,       25.79108,      4.93100,     -12.35155,       4.93176,      -12.35152,  4072660.37,  1050755.87,  4905989.21,      49.579938,       -1.345452,   96315.93,  214534.38,   12560.16,            12560.16,  -152.99,  58942.72,           63567.62,     -0.03,     -0.28,           0.27,  +0.36,  -1.30
  6,     UK0009,       0,  0.238032, 2459461.589971104171,   4.66835, -12.75391,              191.12195,  25.36034,       191.11082,       25.35591,      4.66835,     -12.75391,       4.67902,      -12.75955,  4071496.46,  1049744.51,  4904704.09,      49.581861,       -1.355000,   94442.94,  213600.92,   14567.41,            14567.41,  -690.88,  50550.31,           62012.74,      3.85,     40.80,          39.57,  +2.46,  +0.81
  0,     UK0022,       1, -0.036923, 2459461.589967921842,   8.77148, -10.67670,              186.88375,  27.82953,       189.35995,       28.78607,      8.77148,     -10.67670,       6.65310,       -9.52835,  4080994.13,  1057997.43,  4915190.91,      49.566179,       -1.277469,  109728.84,  221638.72,       0.00,             1812.15,  4177.52,     -0.00,           60947.54,  -1261.29,  -9119.55,        8570.23,  +3.22,  +1.49
  1,     UK0022,       1,  0.003529, 2459461.589968390297,   8.46677, -11.11121,              187.18212,  27.37301,       189.60977,       28.31103,      8.46677,     -11.11121,       6.38140,       -9.97782,  4079632.02,  1056813.84,  4913686.95,      49.568427,       -1.288567,  107536.33,  220429.05,    2349.07,              536.93,   309.47,  58070.66,           60947.54,  -1225.82,  -8926.02,        8433.20,  +2.07,  +0.35
  2,     UK0022,       1,  0.044025, 2459461.589968858752,   8.15025, -11.59911,              187.48495,  26.86144,       189.88190,       27.78758,      8.15025,     -11.59911,       6.08169,      -10.47239,  4078149.47,  1055525.59,  4912049.99,      49.570874,       -1.300642,  105150.05,  219133.37,    4905.87,             3093.72,   270.61,  63136.96,           60947.54,  -1202.25,  -8796.95,        8359.61,  +1.48,  -0.22
  3,     UK0022,       1,  0.084505, 2459461.589969327208,   7.84484, -12.07692,              187.77271,  26.35998,       190.14494,       27.27650,      7.84484,     -12.07692,       5.78833,      -10.95450,  4076719.98,  1054283.44,  4910471.62,      49.573234,       -1.312299,  102849.28,  217905.32,    7371.16,             5559.01,   141.27,  60901.36,           60947.54,  -1182.96,  -8690.98,        8304.81,  +0.90,  -0.79
  4,     UK0022,       1,  0.124929, 2459461.589969795197,   7.59503, -12.51265,              188.00088,  25.90448,       190.37698,       26.82212,      7.59503,     -12.51265,       5.52659,      -11.38245,  4075463.59,  1053191.71,  4909084.38,      49.575308,       -1.322573,  100827.21,  216843.68,    9537.90,             7725.76,  -283.02,  53600.55,           59548.46,  -1182.63,  -8691.28,        8345.72,  +1.25,  -0.43
  0,     UK002D,       0,  0.020924, 2459461.589968591463,  23.59445, -11.32061,              169.46244,  26.77746,       169.46254,       26.77750,     23.59445,     -11.32061,      23.59444,      -11.32058,  4079164.71,  1056407.77,  4913170.96,      49.569198,       -1.292391,  106784.14,  229541.16,       0.00,             1342.85,     0.43,      0.00,           62974.70,     -0.15,     -0.37,           0.36,  +2.47,  +0.67
  1,     UK002D,       0,  0.061368, 2459461.589969059452,  23.43246, -11.84277,              169.70589,  26.27707,       169.70590,       26.27708,     23.43246,     -11.84277,      23.43270,      -11.84277,  4077603.80,  1055051.43,  4911447.48,      49.571774,       -1.305098,  104271.78,  227952.96,    2691.93,             4034.78,   100.04,  66559.46,           62974.70,     -0.02,     -0.06,           0.06,  +1.74,  -0.05
  2,     UK002D,       0,  0.101776, 2459461.589969527442,  23.29750, -12.32246,              169.91217,  25.81537,       169.92618,       25.82074,     23.29750,     -12.32246,      23.28448,      -12.31854,  4076200.01,  1053831.62,  4909897.50,      49.574092,       -1.316553,  102012.42,  226542.33,    5112.88,             6455.73,   -69.02,  59912.69,           62974.70,    -20.52,    -50.18,          49.36,  +1.20,  -0.58
  3,     UK002D,       0,  0.142208, 2459461.589969995432,  23.12743, -12.83012,              170.15737,  25.32921,       170.16058,       25.33044,     23.12743,     -12.83012,      23.12493,      -12.82921,  4074712.03,  1052538.65,  4908254.54,      49.576549,       -1.328694,   99617.67,  225066.08,    7679.04,             9021.89,   -94.41,  63468.47,           62974.70,     -4.69,    -11.47,          11.36,  +0.84,  -0.92
  4,     UK002D,       0,  0.182672, 2459461.589970463421,  22.96134, -13.37498,              170.40004,  24.80506,       170.40786,       24.80806,     22.96134,     -13.37498,      22.95452,      -13.37277,  4073148.95,  1051180.42,  4906528.68,      49.579131,       -1.341450,   97102.19,  223536.73,   10374.70,            11717.55,     7.65,  66618.82,           63651.54,    -11.38,    -27.83,          27.74,  +0.77,  -0.98
  5,     UK002D,       0,  0.223008, 2459461.589970930479,  22.82616, -13.77517,              170.59046,  24.42107,       170.59052,       24.42110,     22.82616,     -13.77517,      22.82703,      -13.77516,  4072005.22,  1050186.59,  4905265.84,      49.581021,       -1.350836,   95261.64,  222431.31,   12347.16,            13690.01,  -605.29,  48900.59,           61742.81,     -0.09,     -0.22,           0.22,  +1.75,  +0.01
  0,     UK003C,       0,  0.079772, 2459461.589969272725,  77.77967,   6.23624,              104.11922,  19.44043,       104.10498,       19.44050,     77.77967,      +6.23624,      77.79051,       +6.24468,  4076930.06,  1054465.99,  4910703.59,      49.572887,       -1.310591,  103187.41,  292268.87,       0.00,             5196.69,    82.32,      0.00,           60051.96,     59.22,     34.40,          48.34,  +2.32,  -0.01
  1,     UK003C,       0,  0.120080, 2459461.589969739318,  78.00459,   5.95388,              104.12072,  19.08023,       104.10364,       19.08031,     78.00459,      +5.95388,      78.01773,       +5.96402,  4075480.03,  1053206.00,  4909102.54,      49.575281,       -1.322421,  100853.68,  290560.42,    2500.71,             7697.40,    -0.57,  62039.96,           60051.96,     70.82,     41.14,          58.14,  +0.73,  -1.59
  2,     UK003C,       0,  0.160424, 2459461.589970205911,  78.26518,   5.65314,              104.10477,  18.68346,       104.10209,       18.68347,     78.26518,      +5.65314,      78.26784,       +5.65473,  4073902.19,  1051834.95,  4907360.37,      49.577887,       -1.335290,   98314.38,  288715.57,    5221.83,            10418.52,   134.64,  67448.11,           60051.96,     11.07,      6.43,           9.15,  +0.74,  -1.56
  3,     UK003C,       0,  0.200672, 2459461.589970672037,  78.44673,   5.43197,              104.10118,  18.39787,       104.10119,       18.39787,     78.44673,      +5.43197,      78.44756,       +5.43196,  4072778.02,  1050858.10,  4906119.11,      49.579744,       -1.344514,   96505.24,  287406.52,    7160.57,            12357.26,  -506.37,  48169.82,           60051.96,     -0.06,     -0.04,           0.05,  +1.89,  -0.40

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.