Orbital Analysis for matched events on 20210929_031623.729_UK

Summary for Event
-----------------
shower ID 716 OCH
Lg 34.44° Bg 18.66° Vg 44.56km/s
mass 0.06429g, abs. mag -1.2
Path Details
------------
start -4.37° 52.42° 90.81km
end   -4.32° 52.45° 83.02km

Orbit Details
-------------
Semimajor axis 13.81A.U., eccentricity 0.99, inclination 56.15°, Period 51.29Y, LA Sun 185.91°, last Perihelion 1970-07-17

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: 2459486.636385762133
Time: 2021-09-29 03:16:23.729848 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001Z and UK0027
 Convergence angle = 16.42514 deg
 R.A. =  21.67331  Dec = +35.04275 deg
Intersection 2 - Stations: UK001Z and UK003F
 Convergence angle = 23.82285 deg
 R.A. =  24.85917  Dec = +31.66573 deg
Intersection 3 - Stations: UK0027 and UK003F
 Convergence angle = 7.53935 deg
 R.A. =  33.98925  Dec = +26.86058 deg

Best intersection: Stations UK001Z and UK003F with Qconv = 23.82 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2387999.39 +/- 283.39 m
 Y =   3150402.20 +/- 324.44 m
 Z =   5103712.55 +/- 337.66 m
 Vx =    35530.80 +/- 2303.16 m/s
 Vy =    17028.55 +/- 3798.09 m/s
 Vz =    23599.05 +/- 2608.79 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.883065e+04, -6.385128e+04, +6.783896e+04, +3.665485e+05, -3.651134e+05, +3.950939e+05
-6.385128e+04, +7.325786e+04, -7.442072e+04, -4.218468e+05, +4.182954e+05, -4.488265e+05
+6.783896e+04, -7.442072e+04, +7.890932e+04, +4.297948e+05, -4.289841e+05, +4.664706e+05
+3.665485e+05, -4.218468e+05, +4.297948e+05, +2.538193e+06, -2.525403e+06, +2.736581e+06
-3.651134e+05, +4.182954e+05, -4.289841e+05, -2.525403e+06, +2.517767e+06, -2.740391e+06
+3.950939e+05, -4.488265e+05, +4.664706e+05, +2.736581e+06, -2.740391e+06, +3.012438e+06

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK001Z: 0.000526 s
    UK0027: 0.000000 s
    UK003F: -0.000002 s
    UK003R: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 03:16:23.729848 UTC
  Lon     = +-4.370575 +/- 0.0061 deg
  Lat     = +52.423318 +/- 0.0024 deg
  Lat geo = +52.239780 +/- 0.0024 deg
  Ht      =   90852.44 +/- 218.70 m

  JD dynamic   = 2459486.637186503038 
  LST apparent = 52.8379359476 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  25.60662 +/- 4.2311 deg
  Dec       = +30.91955 +/- 2.1450 deg
  Azimuth   = 233.43131 +/- 8.6624 deg
  Elevation = +60.73988 +/- 0.3359 deg
  Vavg      =  42.96702 +/- 1.5714 km/s
  Vinit     =  45.92738 +/- 2.1839 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  25.98060 +/- 4.2311 deg
  Dec       = +31.00377 +/- 2.1450 deg
  Azimuth   = 232.98839 +/- 8.6624 deg
  Elevation = +60.99175 +/- 0.3359 deg
  Vavg      =  42.85463 +/- 1.5714 km/s
  Vinit     =  45.81499 +/- 2.1839 km/s
Radiant (geocentric, J2000):
  R.A.   =  24.99757 +/- 4.2527 deg
  Dec    = +30.44207 +/- 2.1997 deg
  Vg     =  44.56276 +/- 2.2513 km/s
  Vinf   =  45.92738 +/- 2.1839 km/s
  Zc     =  29.15111 +/- 0.3469 deg
  Zg     =  29.60046 +/- 0.3313 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  34.43838 +/- 2.7483 deg
  Bg     = +18.66009 +/- 3.4064 deg
  Vh     =  41.31326 +/- 3.2610 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 351.63023 +/- 0.9170 deg
  Bh     = +20.19241 +/- 3.1778 deg
  Vh_x   = -38.36113 +/- 2.2542 km/s
  Vh_y   =   5.64400 +/- 0.8900 km/s
  Vh_z   = -14.26026 +/- 3.1739 km/s
Orbit:
  La Sun = 185.910066 +/- 0.0000 deg
  a      =  13.805397 +/- 22.8794 AU
  e      =   0.987846 +/- 0.0434
  i      =  56.147286 +/- 3.3918 deg
  peri   = 312.473448 +/- 11.9291 deg
  node   = 185.912324 +/- 0.0001 deg
  Pi     = 138.385772 +/- 11.9291 deg
  q      =   0.167795 +/- 0.0559 AU
  f      = 227.525676 +/- 11.9291 deg
  M      = 359.347912 +/- nan deg
  Q      =  27.442999 +/- 45.7723 AU
  n      =   0.019215 +/- 0.1444 deg/day
  T      =  51.294878 +/- 471404510.0672 years
  Last perihelion JD = 2440784.793697 (1970-07-17 07:02:55.397345) +/- 12956.8543 days
  Tj     =   0.659028 +/- 1.5210
Shower association:
  IAU No.  =  716
  IAU code =  OCH

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.195289e-04, +5.254300e-04, -1.819846e+02, -1.048833e-08, -2.007943e-03, +5.357412e-04
q   , +5.254300e-04, +1.408176e-03, -4.066806e+02, -3.104366e-08, -5.405984e-03, +1.571535e-03
Tp  , -1.819846e+02, -4.066806e+02, +2.049653e+08, +8.080967e-03, +1.545833e+03, -4.146736e+02
node, -1.048833e-08, -3.104366e-08, +8.080967e-03, +7.589023e-13, +1.193125e-07, -3.821948e-08
peri, -2.007943e-03, -5.405984e-03, +1.545833e+03, +1.193125e-07, +2.076137e-02, -6.037577e-03
i   , +5.357412e-04, +1.571535e-03, -4.146736e+02, -3.821948e-08, -6.037577e-03, +1.925846e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 119.208745

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 1.226e-06 s
  Stddev    = 1.11e-03 s

Begin point on the trajectory:
  Lon =    -4.370306 +/- 0.0061 deg
  Lat =    52.423440 +/- 0.0024 deg
  Ht  = 90811.20 +/- 213.99 m
End point on the trajectory:
  Lon =    -4.320243 +/- 0.0023 deg
  Lat =    52.446507 +/- 0.0012 deg
  Ht  = 83018.92 +/- 55.91 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
    UK001L,    True,    -1.306160,    51.883100,   80.00, 20948.924087,   0.034541,    87465.42,    81232.19,          0.529116,       nan,       nan,              52.14, 0.0000,    True,    True, {"ff_name": "FF_UK001L_20210929_031616_016_0778496.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,    88853.48,    83018.92,          0.019558,     69.37,     26.69,              71.62, 0.9006,    True,    True, {"ff_name": "FF_UK001Z_20210929_031620_758_0790784.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,    90811.20,    83079.80,          0.028650,     89.94,     46.10,              60.50, 0.7575,    True,    True, {"ff_name": "FF_UK0027_20210929_031616_998_0791808.fits"}
    UK003F,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,    90779.60,    83117.56,          0.010180,     35.58,     20.22,              60.26, 0.7539,    True,    True, {"ff_name": "FF_UK003F_20210929_031621_864_0797952.fits"}
    UK003R,    True,    -2.379340,    51.361330,  169.00,  44.721360,   0.000000,    90222.44,    83623.71,          0.051507,       nan,       nan,              60.74, 0.0000,    True,    True, {"ff_name": "FF_UK003R_20210929_031621_624_0401152.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,     UK001L,       1,  0.548119, 2459486.636392106302, 325.94756,  26.43875,              287.03057,  20.53201,       287.57413,       20.81194,    325.94756,     +26.43875,     325.72876,      +26.98463,  2384996.92,  3148963.23,  5101718.35,      52.433335,       -4.350767,   87465.42,  235442.82,       0.00,             3881.02, -21275.67,      0.00,           45998.11,   1294.51,   2003.63,        2089.84,  +3.25,  +1.39
  1,     UK001L,       1,  0.588371, 2459486.636392571963, 325.62316,  26.38146,              287.22359,  20.29755,       287.72531,       20.55610,    325.62316,     +26.38146,     325.42037,      +26.88569,  2383823.09,  3148400.66,  5100938.71,      52.437253,       -4.342287,   86141.75,  234520.23,    1517.30,             5398.31, -21607.04,  37694.92,           45998.11,   1191.70,   1844.82,        1931.67,  +1.58,  -0.27
  2,     UK001L,       1,  0.628747, 2459486.636393039487, 325.15985,  26.25830,              287.47066,  19.93176,       287.94837,       20.17792,    325.15985,     +26.25830,     324.96521,      +26.73872,  2382103.63,  3147576.59,  5099796.67,      52.442994,       -4.329778,   84203.03,  233175.17,    3739.89,             7620.90, -21238.82,  55047.28,           45998.11,   1130.15,   1749.70,        1842.58,  +0.96,  -0.88
  3,     UK001L,       1,  0.669043, 2459486.636393505614, 324.82278,  26.11349,              287.61236,  19.62406,       288.11982,       19.88523,    324.82278,     +26.11349,     324.61427,      +26.62384,  2380788.18,  3146946.15,  5098922.96,      52.447387,       -4.320240,   82719.90,  232157.58,    5440.25,             9321.27, -21389.14,  42196.81,           45998.11,   1196.78,   1852.64,        1959.61,  +1.25,  -0.58
  4,     UK001L,       1,  0.709331, 2459486.636393972207, 324.43833,  26.07062,              287.85947,  19.36562,       288.29268,       19.58887,    324.43833,     +26.07062,     324.25986,      +26.50672,  2379468.60,  3146313.72,  5098046.51,      52.451795,       -4.310666,   81232.19,  231144.76,    7145.96,            11026.97, -21533.76,  42337.86,           45188.40,   1018.67,   1577.39,        1675.62,  +4.04,  +2.22
  0,     UK001Z,       0,  0.043139, 2459486.636386255268, 283.92966,  54.31392,              331.09398,  23.07342,       331.11137,       23.08296,    283.92966,     +54.31392,     283.91499,      +54.33042,  2386226.70,  3149552.62,  5102535.15,      52.429231,       -4.357710,   88853.48,  218464.43,       0.00,             2291.40,   327.11,      0.00,           43859.10,     25.52,     66.28,          67.06,  +2.78,  +1.08
  1,     UK001Z,       0,  0.083455, 2459486.636386721861, 283.33243,  54.18190,              331.34307,  22.77921,       331.31445,       22.76353,    283.33243,     +54.18190,     283.35752,      +54.15483,  2385075.78,  3149001.03,  5101770.73,      52.433072,       -4.349404,   87555.74,  218004.03,    1487.68,             3779.08,   -36.82,  36900.58,           43859.10,    -41.92,   -109.02,         110.51,  +1.64,  -0.05
  2,     UK001Z,       0,  0.123867, 2459486.636387189850, 282.63701,  53.94156,              331.58868,  22.36339,       331.57342,       22.35504,    282.63701,     +53.94156,     282.65091,      +53.92718,  2383611.65,  3148299.33,  5100798.27,      52.437959,       -4.338785,   85904.94,  217430.14,    3380.23,             5671.63,    -0.28,  46831.41,           43859.10,    -22.34,    -58.07,          59.02,  +1.27,  -0.42
  3,     UK001Z,       0,  0.164279, 2459486.636387657374, 281.95248,  53.68915,              331.82684,  21.94103,       331.83223,       21.94398,    281.95248,     +53.68915,     281.94837,      +53.69421,  2382147.45,  3147597.59,  5099825.77,      52.442847,       -4.328158,   84254.19,  216871.12,    5272.86,             7564.26,    36.33,  46833.31,           43859.10,      7.89,     20.51,          20.90,  +1.12,  -0.56
  4,     UK001Z,       0,  0.204587, 2459486.636388123967, 281.44039,  53.50039,              332.00845,  21.62551,       332.02507,       21.63458,    281.44039,     +53.50039,     281.42632,      +53.51595,  2381051.73,  3147072.46,  5099098.01,      52.446507,       -4.320243,   83018.92,  216463.90,    6689.20,             8980.60,  -398.58,  35137.86,           42514.65,     24.32,     63.15,          64.48,  +4.68,  +3.00
  0,     UK0027,       0,  0.000000, 2459486.636385762133, 308.93667,  45.26352,              311.26970,  25.75850,       311.21586,       25.72656,    308.93667,     +45.26352,     308.95778,      +45.20739,  2387962.83,  3150384.68,  5103688.26,      52.423440,       -4.370306,   90811.20,  203147.08,       0.00,               47.27,    64.26,      0.00,           45656.32,    -93.89,   -183.22,         209.04,  +3.55,  +2.01
  1,     UK0027,       0,  0.040360, 2459486.636386229191, 308.40311,  45.09904,              311.45999,  25.38562,       311.46058,       25.38598,    308.40311,     +45.09904,     308.40304,      +45.09966,  2386678.31,  3149769.06,  5102835.10,      52.427725,       -4.361024,   89362.71,  202322.91,    1660.38,             1707.65,  -128.99,  41139.21,           45656.32,      1.03,      2.01,           2.30,  +1.59,  +0.06
  2,     UK0027,       0,  0.080776, 2459486.636386697181, 307.75582,  44.99247,              311.76161,  25.00349,       311.74208,       24.99195,    307.75582,     +44.99247,     307.76424,      +44.97212,  2385206.34,  3149063.60,  5101857.44,      52.432636,       -4.350357,   87702.95,  201389.91,    3563.06,             3610.33,   -82.51,  47077.45,           45656.32,    -33.89,    -66.09,          76.07,  +1.40,  -0.12
  3,     UK0027,       0,  0.121204, 2459486.636387165170, 307.11097,  44.82288,              312.01867,  24.57584,       312.03167,       24.58351,    307.11097,     +44.82288,     307.10594,      +44.83641,  2383696.65,  3148340.06,  5100854.73,      52.437675,       -4.339403,   86000.78,  200446.94,    5514.49,             5561.76,    12.17,  48269.36,           45656.32,     22.50,     43.86,          50.72,  +0.72,  -0.79
  4,     UK0027,       0,  0.161624, 2459486.636387632694, 306.46242,  44.71368,              312.32398,  24.19295,       312.31150,       24.18560,    306.46242,     +44.71368,     306.46855,      +44.70070,  2382241.31,  3147642.58,  5099888.11,      52.442534,       -4.328842,   84360.01,  199551.95,    7395.67,             7442.94,    36.96,  46540.74,           46142.02,    -21.54,    -42.00,          48.79,  +0.92,  -0.58
  5,     UK0027,       0,  0.201948, 2459486.636388099287, 305.95782,  44.61672,              312.55459,  23.88661,       312.52985,       23.87204,    305.95782,     +44.61672,     305.96969,      +44.59099,  2381105.73,  3147098.34,  5099133.88,      52.446326,       -4.320632,   83079.80,  198864.81,    8863.53,             8910.80,  -347.15,  36401.70,           44892.30,    -42.62,    -83.11,          96.87,  +2.72,  +1.23
  0,     UK003F,       0,  0.002180, 2459486.636385787278, 311.91517,  38.60340,              304.99764,  21.92668,       304.99942,       21.92773,    311.91517,     +38.60340,     311.91445,      +38.60527,  2387934.80,  3150371.25,  5103669.65,      52.423534,       -4.370109,   90779.60,  233093.10,       0.00,               83.49,     0.35,      0.00,           46024.20,      3.94,      6.93,           7.05,  +2.60,  +0.76
  1,     UK003F,       0,  0.042472, 2459486.636386253871, 311.48005,  38.50111,              305.20307,  21.62692,       305.20107,       21.62575,    311.48005,     +38.50111,     311.48105,      +38.49902,  2386640.40,  3149750.89,  5102809.93,      52.427851,       -4.360754,   89319.97,  232255.08,    1673.15,             1756.64,  -177.00,  41525.72,           46024.20,     -4.39,     -7.73,           7.90,  +1.58,  -0.25
  2,     UK003F,       0,  0.082848, 2459486.636386720929, 310.94705,  38.34867,              305.43726,  21.23952,       305.45230,       21.24827,    310.94705,     +38.34867,     310.94104,      +38.36441,  2385035.74,  3148981.84,  5101744.13,      52.433205,       -4.349109,   87510.60,  231226.55,    3747.35,             3830.84,    42.83,  51372.01,           46024.20,     32.94,     57.95,          59.46,  +0.84,  -0.98
  3,     UK003F,       0,  0.123156, 2459486.636387187522, 310.48674,  38.23953,              305.65661,  20.92244,       305.66452,       20.92704,    310.48674,     +38.23953,     310.48385,      +38.24781,  2383683.12,  3148333.58,  5100845.74,      52.437720,       -4.339311,   85985.53,  230371.83,    5495.75,             5579.24,   -60.01,  43376.10,           46024.20,     17.28,     30.40,          31.31,  +0.65,  -1.16
  4,     UK003F,       0,  0.163532, 2459486.636387655046, 309.94874,  38.09316,              305.90158,  20.53793,       305.91531,       20.54591,    309.94874,     +38.09316,     309.94342,      +38.10754,  2382091.86,  3147570.95,  5099788.85,      52.443033,       -4.327748,   84191.53,  229377.64,    7552.63,             7636.12,   142.50,  50943.05,           46922.76,     29.94,     52.67,          54.48,  +0.68,  -1.12
  5,     UK003F,       0,  0.203748, 2459486.636388120241, 309.62060,  38.01543,              306.05978,  20.31249,       306.06520,       20.31563,    309.62060,     +38.01543,     309.61906,      +38.02110,  2381139.24,  3147114.39,  5099156.13,      52.446215,       -4.320887,   83117.56,  228792.71,    8784.00,             8867.49,  -473.14,  30618.96,           44857.57,     11.79,     20.75,          21.51,  +2.16,  +0.36
  0,     UK003R,       1,  0.018063, 2459486.636385971215, 308.34129,  45.26054,              311.61550,  25.47314,       311.64823,       25.49251,    308.34129,     +45.26054,     308.32820,      +45.29463,  2387440.72,  3150134.46,  5103341.49,      52.425181,       -4.366541,   90222.44,  203208.78,       0.00,              722.14,   -90.46,      0.00,           47888.00,     57.05,    111.54,         127.17,  +2.41,  +0.87
  1,     UK003R,       1,  0.058439, 2459486.636386438739, 307.77489,  45.12860,              311.85018,  25.11024,       311.90038,       25.13990,    307.77489,     +45.12860,     307.75441,      +45.18086,  2386117.03,  3149500.06,  5102462.31,      52.429597,       -4.356969,   88729.81,  202369.88,    1711.01,             2433.16,  -233.81,  42377.03,           47888.00,     87.31,    170.64,         195.37,  +1.70,  +0.17
  2,     UK003R,       1,  0.098875, 2459486.636386906728, 307.10146,  44.99937,              312.15196,  24.70032,       312.19488,       24.72565,    307.10146,     +44.99937,     307.08364,      +45.04404,  2384577.08,  3148762.02,  5101439.50,      52.434736,       -4.345797,   86993.45,  201406.43,    3701.56,             4423.71,  -100.38,  49227.12,           47888.00,     74.45,    145.51,         167.40,  +0.64,  -0.88
  3,     UK003R,       1,  0.139335, 2459486.636387374718, 306.39598,  44.84777,              312.45937,  24.25962,       312.50477,       24.28637,    306.39598,     +44.84777,     306.37671,      +44.89499,  2382961.95,  3147987.95,  5100366.75,      52.440128,       -4.334063,   85172.46,  200411.71,    5789.29,             6511.43,   129.12,  51599.78,           47888.00,     78.51,    153.43,         177.39,  +0.65,  -0.86
  4,     UK003R,       1,  0.179735, 2459486.636387842242, 305.79995,  44.69925,              312.70712,  23.87243,       312.76869,       23.90866,    305.79995,     +44.69925,     305.77311,      +44.76326,  2381588.20,  3147329.56,  5099454.32,      52.444715,       -4.324100,   83623.71,  199580.02,    7565.02,             8287.16,    49.38,  43953.65,           47517.60,    106.25,    207.58,         241.00,  +1.11,  -0.39

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.