Orbital Analysis for matched events on 20211103_211548.463_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 20.93° Bg 49.79° Vg 20.97km/s
mass 0.07567g, abs. mag 1.1
best visual mag 1.4
Path Details
------------
start 0.88° 52.03° 93.63km
end   0.90° 52.03° 80.65km

Orbit Details
-------------
Semimajor axis 5.87A.U., eccentricity 0.85, inclination 24.73°, Period 14.22Y, LA Sun 221.37°, last Perihelion 2007-09-11

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: 2459522.385977588594
Time: 2021-11-03 21:15:48.503888 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0035 and UK0041
 Convergence angle = 10.93936 deg
 R.A. = 353.36952  Dec = +52.09155 deg

Best intersection: Stations UK0035 and UK0041 with Qconv = 10.94 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3984226.76 +/- 532.18 m
 Y =    221350.80 +/- 68.53 m
 Z =   5079619.63 +/- 157.75 m
 Vx =    14309.56 +/- 1787.35 m/s
 Vy =    -1948.33 +/- 69.19 m/s
 Vz =    18834.62 +/- 1517.37 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.744226e+05, -3.441881e+04, +7.990636e+04, +7.590926e+05, -9.936211e+04, +1.778340e+05
-3.441881e+04, +4.552452e+03, -1.002949e+04, -9.612326e+04, +1.327063e+04, -2.264226e+04
+7.990636e+04, -1.002949e+04, +2.394600e+04, +2.194672e+05, -2.873886e+04, +5.106870e+04
+7.590926e+05, -9.612326e+04, +2.194672e+05, +2.364400e+06, -3.131493e+05, +5.478601e+05
-9.936211e+04, +1.327063e+04, -2.873886e+04, -3.131493e+05, +4.378835e+04, -7.288498e+04
+1.778340e+05, -2.264226e+04, +5.106870e+04, +5.478601e+05, -7.288498e+04, +1.314954e+05

Timing offsets (from input data):
    UK0035: -0.001373 s
    UK0041: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 21:15:48.503888 UTC
  Lon     = ++0.881921 +/- 0.0014 deg
  Lat     = +52.032137 +/- 0.0028 deg
  Lat geo = +51.848067 +/- 0.0028 deg
  Ht      =   94601.66 +/- 447.73 m

  JD dynamic   = 2459522.386778795160 
  LST apparent = 3.1798998973 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 352.24654 +/- 0.2882 deg
  Dec       = +52.52053 +/- 3.1948 deg
  Azimuth   = 278.49192 +/- 14.0300 deg
  Elevation = +83.29904 +/- 2.2517 deg
  Vavg      =  24.00720 +/- 0.9493 km/s
  Vinit     =  23.73399 +/- 1.0800 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 353.38423 +/- 0.2882 deg
  Dec       = +52.62096 +/- 3.1948 deg
  Azimuth   = 279.48388 +/- 14.0300 deg
  Elevation = +83.98909 +/- 2.2517 deg
  Vavg      =  23.97538 +/- 0.9493 km/s
  Vinit     =  23.70217 +/- 1.0800 km/s
Radiant (geocentric, J2000):
  R.A.   = 351.30657 +/- 0.4577 deg
  Dec    = +52.40840 +/- 3.5452 deg
  Vg     =  20.97358 +/- 1.2737 km/s
  Vinf   =  23.73399 +/- 1.0800 km/s
  Zc     =   6.73060 +/- 2.2754 deg
  Zg     =   7.14664 +/- 2.5879 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  20.92504 +/- 4.4044 deg
  Bg     = +49.78942 +/- 2.5986 deg
  Vh     =  40.46681 +/- 1.4450 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 332.05117 +/- 1.4190 deg
  Bh     = +23.31626 +/- 0.0950 deg
  Vh_x   = -32.82772 +/- 1.5594 km/s
  Vh_y   =  17.41722 +/- 0.0562 km/s
  Vh_z   = -16.01701 +/- 0.5976 km/s
Orbit:
  La Sun = 221.373913 +/- 0.0000 deg
  a      =   5.869906 +/- 0.8789 AU
  e      =   0.850365 +/- 0.1076
  i      =  24.734704 +/- 0.2281 deg
  peri   = 221.338261 +/- 2.6123 deg
  node   = 221.372884 +/- 0.0000 deg
  Pi     =  82.711145 +/- 2.6123 deg
  q      =   0.878343 +/- 0.0027 AU
  f      = 318.662459 +/- 2.6123 deg
  M      = 358.088407 +/- 5.3084 deg
  Q      =  10.861470 +/- 1.7602 AU
  n      =   0.069304 +/- 0.1209 deg/day
  T      =  14.221564 +/- 2.4333 years
  Last perihelion JD = 2454355.452668 (2007-09-11 22:51:50.537088) +/- 890.9320 days
  Tj     =   1.901724 +/- 0.5974
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.204594e-02, -2.904000e-04, -9.686705e+01, +7.687126e-07, -2.511496e-01, +2.466690e-02
q   , -2.904000e-04, +8.222433e-06, +2.520052e+00, -1.891283e-08, +5.412331e-03, -6.083156e-04
Tp  , -9.686705e+01, +2.520052e+00, +1.057887e+06, -6.225196e-03, +1.661481e+03, -2.009943e+02
node, +7.687126e-07, -1.891283e-08, -6.225196e-03, +5.546597e-11, -1.536313e-05, +1.778436e-06
peri, -2.511496e-01, +5.412331e-03, +1.661481e+03, -1.536313e-05, +5.952325e+00, -4.910377e-01
i   , +2.466690e-02, -6.083156e-04, -2.009943e+02, +1.778436e-06, -4.910377e-01, +5.703194e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.034082
 a2 = 14.554445

Mean time residuals from time vs. length:
  Station with reference time: UK0041
  Avg. res. = 4.007e-05 s
  Stddev    = 6.33e-03 s

Begin point on the trajectory:
  Lon =     0.883545 +/- 0.0012 deg
  Lat =    52.031987 +/- 0.0025 deg
  Ht  = 93628.51 +/- 391.04 m
End point on the trajectory:
  Lon =     0.902889 +/- 0.0013 deg
  Lat =    52.029987 +/- 0.0026 deg
  Ht  = 80651.29 +/- 343.71 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
    UK0035,   False,     1.010397,    52.949859,   25.00,  10.852887,   0.000000,    90224.45,    84273.94,          0.024608,     57.28,      5.11,              52.21, 1.0000,    True,   False, {"ff_name": "FF_UK0035_20211103_211540_389_0387840.fits"}
    UK0041,   False,     1.214343,    52.647541,   45.00,   0.068389,  13.376162,    93628.51,    80651.29,          0.012117,     22.96,      6.39,              41.12, 1.0000,    True,    True, {"ff_name": "FF_UK0041_20211103_211544_986_0385792.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,     UK0035,       0,  0.200154, 2459522.385979922488, 359.76710,   3.71609,              184.66174,  40.67945,       184.67808,       40.67752,    359.76710,      +3.71609,     359.75544,       +3.71477,  3981569.62,   221712.58,  5076122.23,      52.031464,       +0.888554,   90224.45,  137102.96,       0.00,             4407.16,  -263.53,      0.00,           24860.90,     -2.62,     29.91,          45.17,  +5.20,  +4.51
  1,     UK0035,       0,  0.320866, 2459522.385981319938, 359.87013,   2.63799,              184.45965,  39.60753,       184.48078,       39.60503,    359.87013,      +2.63799,     359.85508,       +2.63626,  3979535.83,   221989.49,  5073445.30,      52.030948,       +0.893650,   86873.97,  134924.85,    3373.27,             7780.43,   244.77,  27944.81,           24860.90,     -3.40,     38.64,          59.29,  +2.83,  +2.18
  2,     UK0035,       0,  0.361050, 2459522.385981784668, 359.87213,   2.37669,              184.44122,  39.34661,       184.43615,       39.34720,    359.87213,      +2.37669,     359.87759,       +2.37711,  3979056.67,   222054.73,  5072814.62,      52.030826,       +0.894802,   86084.55,  134419.01,    4168.01,             8575.16,    85.77,  19777.34,           24860.90,      0.82,     -9.26,          14.27,  +2.16,  +1.52
  3,     UK0035,       0,  0.401230, 2459522.385982249863, 359.86303,   2.12829,              184.43798,  39.09805,       184.39461,       39.10316,    359.86303,      +2.12829,     359.89859,       +2.13184,  3978606.48,   222116.03,  5072222.07,      52.030711,       +0.895875,   85342.82,  133946.32,    4914.70,             9321.86,  -121.16,  18583.75,           24860.90,      7.08,    -79.27,         122.55,  +2.09,  +1.46
  4,     UK0035,       0,  0.441470, 2459522.385982715525, 359.89184,   1.77139,              184.37975,  38.74287,       184.33190,       38.74851,    359.89184,      +1.77139,     359.93124,       +1.77532,  3977957.68,   222204.37,  5071368.10,      52.030547,       +0.897496,   84273.94,  133269.22,    5990.80,            10397.96,    -0.12,  26742.08,           24515.99,      7.82,    -87.44,         135.88,  +1.51,  +0.89
  0,     UK0041,       1,  0.000000, 2459522.385977588594, 351.89670,  15.91204,              198.38818,  52.13473,       198.42789,       52.12993,    351.89670,     +15.91204,     351.87087,      +15.91219,  3984214.40,   221352.48,  5079603.36,      52.032134,       +0.882123,   94581.31,  119232.52,       0.00,               20.50,   100.27,      0.00,           23268.77,    -13.76,     49.83,          89.42,  +4.69,  +4.31
  1,     UK0041,       0,  0.040228, 2459522.385978054255, 351.87238,  15.63513,              198.33612,  51.85869,       198.35019,       51.85699,    351.87238,     +15.63513,     351.86335,      +15.63519,  3983636.00,   221431.23,  5078842.05,      52.031987,       +0.883545,   93628.51,  118466.02,     959.35,              979.85,   104.85,  23847.83,           23268.77,     -4.88,     17.64,          31.87,  +3.11,  +2.74
  2,     UK0041,       0,  0.080492, 2459522.385978520382, 351.84056,  15.32162,              198.28457,  51.54531,       198.26231,       51.54799,    351.84056,     +15.32162,     351.85552,      +15.32152,  3982989.85,   221519.21,  5077991.58,      52.031824,       +0.885153,   92564.11,  117612.81,    2031.05,             2051.55,   220.92,  26616.83,           23268.77,      7.74,    -27.89,          50.75,  +2.81,  +2.46
  3,     UK0041,       0,  0.120668, 2459522.385978985112, 351.83683,  15.10472,              198.22171,  51.33195,       198.20501,       51.33396,    351.83683,     +15.10472,     351.84834,      +15.10464,  3982548.69,   221579.28,  5077410.91,      52.031712,       +0.886199,   91837.36,  117033.00,    2762.77,             2783.26,    -0.90,  18212.74,           23268.77,      5.80,    -20.90,          38.24,  +2.61,  +2.27
  4,     UK0041,       0,  0.160908, 2459522.385979450773, 351.82322,  14.81422,              198.15143,  51.04450,       198.12625,       51.04753,    351.82322,     +14.81422,     351.84057,      +14.81410,  3981964.25,   221658.85,  5076641.65,      52.031564,       +0.887639,   90874.57,  116266.77,    3732.13,             3752.63,    13.41,  24089.63,           23039.62,      8.76,    -31.52,          58.04,  +1.91,  +1.58
  5,     UK0041,       0,  0.201148, 2459522.385979916900, 351.81611,  14.51741,              198.07038,  50.75205,       198.04672,       50.75490,    351.81611,     +14.51741,     351.83269,      +14.51730,  3981375.06,   221739.07,  5075866.14,      52.031414,       +0.889092,   89903.95,  115497.37,    4709.36,             4729.86,    35.59,  24285.08,           23152.13,      8.23,    -29.59,          54.86,  +2.05,  +1.74
  6,     UK0041,       0,  0.241376, 2459522.385980382096, 351.81791,  14.23971,              197.98287,  50.47996,       197.97388,       50.48104,    351.81791,     +14.23971,     351.82492,      +14.23967,  3980830.97,   221813.15,  5075150.00,      52.031276,       +0.890422,   89007.61,  114789.79,    5611.80,             5632.30,   -16.74,  22433.08,           23115.26,      3.12,    -11.24,          20.96,  +1.68,  +1.38
  7,     UK0041,       0,  0.281616, 2459522.385980848223, 351.80429,  13.94951,              197.91551,  50.19265,       197.89835,       50.19472,    351.80429,     +13.94951,     351.81699,      +13.94943,  3980269.20,   221889.64,  5074410.58,      52.031134,       +0.891800,   88082.13,  114062.02,    6543.55,             6564.05,   -40.05,  23154.88,           23103.20,      5.97,    -21.44,          40.24,  +1.84,  +1.55
  8,     UK0041,       0,  0.321868, 2459522.385981313884, 351.81390,  13.63481,              197.80737,  49.88557,       197.81689,       49.88443,    351.81390,     +13.63481,     351.80882,      +13.63486,  3979668.29,   221971.46,  5073619.65,      52.030981,       +0.893287,   87092.17,  113286.66,    7540.22,             7560.72,     1.28,  24760.76,           23208.15,     -3.30,     11.89,          22.47,  +1.50,  +1.23
  9,     UK0041,       0,  0.362124, 2459522.385981780011, 351.79059,  13.32621,              197.75084,  49.57830,       197.73824,       49.57982,    351.79059,     +13.32621,     351.80064,      +13.32614,  3979086.45,   222050.68,  5072853.82,      52.030833,       +0.894722,   86133.61,  112539.27,    8505.27,             8525.76,    10.89,  23972.72,           23303.31,      4.38,    -15.72,          29.92,  +1.58,  +1.32
 10,     UK0041,       0,  0.402372, 2459522.385982245672, 351.78648,  13.02760,              197.66984,  49.28435,       197.66349,       49.28512,    351.78648,     +13.02760,     351.79249,      +13.02757,  3978531.00,   222126.31,  5072122.72,      52.030692,       +0.896085,   85218.49,  111828.94,    9426.55,             9447.05,   -23.07,  22890.15,           23336.41,      2.21,     -7.92,          15.17,  +1.44,  +1.20
 11,     UK0041,       0,  0.442644, 2459522.385982711799, 351.78009,  12.69540,              197.58354,  48.95693,       197.58051,       48.95729,    351.78009,     +12.69540,     351.78401,      +12.69539,  3977921.13,   222209.35,  5071319.99,      52.030537,       +0.897598,   84213.71,  111052.35,   10438.10,            10458.59,    32.66,  25117.82,           23424.09,      1.05,     -3.78,           7.28,  +1.56,  +1.33
 12,     UK0041,       0,  0.482888, 2459522.385983177461, 351.76968,  12.40190,              197.51516,  48.66672,       197.50921,       48.66744,    351.76968,     +12.40190,     351.77579,      +12.40187,  3977389.29,   222281.76,  5070619.97,      52.030402,       +0.898896,   83337.47,  110378.48,   11320.21,            11340.70,   -40.38,  21919.03,           23427.45,      2.07,     -7.42,          14.39,  +1.54,  +1.33
 13,     UK0041,       0,  0.523140, 2459522.385983643588, 351.74647,  12.09949,              197.46363,  48.36539,       197.43643,       48.36866,    351.74647,     +12.09949,     351.76743,      +12.09934,  3976847.82,   222355.48,  5069907.27,      52.030264,       +0.900221,   82445.35,  109695.37,   12218.29,            12238.79,   -97.64,  22311.54,           23397.66,      9.47,    -33.86,          66.11,  +1.53,  +1.33
 14,     UK0041,       0,  0.563392, 2459522.385984109249, 351.74226,  11.79409,              197.38458,  48.06454,       197.36383,       48.06703,    351.74226,     +11.79409,     351.75901,      +11.79398,  3976308.01,   222428.98,  5069196.76,      52.030127,       +0.901542,   81555.95,  109017.43,   13113.63,            13134.12,  -157.64,  22243.31,           23349.43,      7.22,    -25.81,          50.71,  +1.88,  +1.69
 15,     UK0041,       0,  0.603644, 2459522.385984575376, 351.77028,  11.47930,              197.25773,  47.76021,       197.28981,       47.75635,    351.77028,     +11.47930,     351.75045,      +11.47947,  3975758.94,   222503.74,  5068474.06,      52.029987,       +0.902889,   80651.29,  108331.04,   14024.32,            14044.81,  -202.30,  22624.66,           23301.17,    -11.12,     39.90,          78.87,  +2.51,  +2.34

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.