Orbital Analysis for matched events on 20211103_023531.391_UK

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Summary for Event
-----------------
shower ID 257 ORS
Lg 60.76° Bg -1.48° Vg 33.76km/s
mass 0.01883g, abs. mag 0.9
best visual mag 1.2
Path Details
------------
start -2.15° 52.34° 88.81km
end   -2.11° 52.38° 81.25km

Orbit Details
-------------
Semimajor axis 2.12A.U., eccentricity 0.91, inclination 2.72°, Period 3.10Y, LA Sun 220.59°, last Perihelion 2018-11-05

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: 2459521.608002212364
Time: 2021-11-03 02:35:31.394930 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003G
 Convergence angle = 16.87506 deg
 R.A. =  61.10103  Dec = +18.04071 deg
Intersection 2 - Stations: UK001L and UK003R
 Convergence angle = 32.49762 deg
 R.A. =  60.92833  Dec = +18.31999 deg
Intersection 3 - Stations: UK001L and UK003X
 Convergence angle = 37.26035 deg
 R.A. =  59.68604  Dec = +20.29727 deg
Intersection 4 - Stations: UK003G and UK003R
 Convergence angle = 15.62309 deg
 R.A. =  60.94142  Dec = +18.66890 deg
Intersection 5 - Stations: UK003G and UK003X
 Convergence angle = 20.41555 deg
 R.A. =  59.94868  Dec = +22.46577 deg
Intersection 6 - Stations: UK003R and UK003X
 Convergence angle = 4.94006 deg
 R.A. =  61.62623  Dec = +34.68753 deg

Best intersection: Stations UK001L and UK003X with Qconv = 37.26 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    734619.63 +/- 14.10 m
 Y =   3890334.43 +/- 8.65 m
 Z =   5096559.54 +/- 31.19 m
 Vx =    16918.91 +/- 59.75 m/s
 Vy =    28846.57 +/- 108.83 m/s
 Vz =    12046.28 +/- 163.39 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.121510e+02, +6.805611e+01, +3.522524e+02, +7.498172e+02, -7.371064e+02, +1.750643e+03
+6.805611e+01, +8.016469e+01, +2.077625e+01, +1.941522e+02, -1.635407e+02, +1.493368e+02
+3.522524e+02, +2.077625e+01, +1.037545e+03, +1.318590e+03, -1.542937e+03, +5.036609e+03
+7.498172e+02, +1.941522e+02, +1.318590e+03, +3.104455e+03, -3.048616e+03, +7.167029e+03
-7.371064e+02, -1.635407e+02, -1.542937e+03, -3.048616e+03, +3.276024e+03, -8.804413e+03
+1.750643e+03, +1.493368e+02, +5.036609e+03, +7.167029e+03, -8.804413e+03, +2.844398e+04

Timing offsets (from input data):
    UK001L: -0.000043 s
    UK003G: 0.000013 s
    UK003R: 0.000037 s
    UK003X: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:35:31.394930 UTC
  Lon     = +-2.153257 +/- 0.0002 deg
  Lat     = +52.343114 +/- 0.0002 deg
  Lat geo = +52.159383 +/- 0.0002 deg
  Ht      =   88800.54 +/- 26.94 m

  JD dynamic   = 2459521.608802997041 
  LST apparent = 79.3066365702 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  59.60778 +/- 0.1265 deg
  Dec       = +19.80968 +/- 0.2601 deg
  Azimuth   = 212.68829 +/- 0.3304 deg
  Elevation = +54.04127 +/- 0.2098 deg
  Vavg      =  33.27287 +/- 0.0435 km/s
  Vinit     =  35.54556 +/- 0.0343 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  60.07481 +/- 0.1265 deg
  Dec       = +19.86237 +/- 0.2601 deg
  Azimuth   = 212.01632 +/- 0.3304 deg
  Elevation = +54.24336 +/- 0.2098 deg
  Vavg      =  33.18237 +/- 0.0435 km/s
  Vinit     =  35.45506 +/- 0.0343 km/s
Radiant (geocentric, J2000):
  R.A.   =  58.93663 +/- 0.1287 deg
  Dec    = +18.85649 +/- 0.2685 deg
  Vg     =  33.76333 +/- 0.0361 km/s
  Vinf   =  35.54556 +/- 0.0343 km/s
  Zc     =  35.80422 +/- 0.2092 deg
  Zg     =  36.75606 +/- 0.2171 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.76077 +/- 0.0796 deg
  Bg     =  -1.48380 +/- 0.2839 deg
  Vh     =  37.02376 +/- 0.0506 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  10.79405 +/- 0.0465 deg
  Bh     =  -1.35290 +/- 0.2587 deg
  Vh_x   = -36.35855 +/- 0.0537 km/s
  Vh_y   =  -6.93185 +/- 0.0305 km/s
  Vh_z   =   0.87415 +/- 0.1663 km/s
Orbit:
  La Sun = 220.594471 +/- -0.0000 deg
  a      =   2.124421 +/- 0.0194 AU
  e      =   0.907116 +/- 0.0007
  i      =   2.719085 +/- 0.5170 deg
  peri   = 133.158221 +/- 0.1483 deg
  node   =  40.614066 +/- 0.0041 deg
  Pi     = 173.772287 +/- 0.1468 deg
  q      =   0.197324 +/- 0.0008 AU
  f      = 226.823612 +/- 0.1468 deg
  M      = 348.040589 +/- 0.1684 deg
  Q      =   4.051518 +/- 0.0384 AU
  n      =   0.318305 +/- 0.0043 deg/day
  T      =   3.096432 +/- 0.0426 years
  Last perihelion JD = 2458428.189496 (2018-11-05 16:32:52.441792) +/- 15.5745 days
  Tj     =   2.986939 +/- 0.0212
Shower association:
  IAU No.  =  257
  IAU code =  ORS

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.354783e-07, +8.181059e-08, -1.062194e-02, +2.952424e-06, -5.724093e-05, -3.871747e-04
q   , +8.181059e-08, +6.529506e-07, -7.161137e-03, -3.463341e-08, -1.144140e-04, -1.710414e-05
Tp  , -1.062194e-02, -7.161137e-03, +2.586092e+02, -5.448922e-02, +2.049345e+00, +7.319715e+00
node, +2.952424e-06, -3.463341e-08, -5.448922e-02, +1.804626e-05, -2.369237e-04, -2.214518e-03
peri, -5.724093e-05, -1.144140e-04, +2.049345e+00, -2.369237e-04, +2.355481e-02, +3.449952e-02
i   , -3.871747e-04, -1.710414e-05, +7.319715e+00, -2.214518e-03, +3.449952e-02, +2.850736e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.509500
 a2 = 18.651119

Mean time residuals from time vs. length:
  Station with reference time: UK003X
  Avg. res. = 1.239e-06 s
  Stddev    = 1.11e-03 s

Begin point on the trajectory:
  Lon =    -2.153322 +/- 0.0002 deg
  Lat =    52.343052 +/- 0.0001 deg
  Ht  = 88811.93 +/- 28.58 m
End point on the trajectory:
  Lon =    -2.111512 +/- 0.0001 deg
  Lat =    52.384000 +/- 0.0002 deg
  Ht  = 81254.40 +/- 10.14 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,   False,    -1.306160,    51.883100,   80.00,   0.081750,  36.200103,    88811.93,    82261.48,          0.005005,      8.15,      6.07,              55.99, 0.6872,    True,    True, {"ff_name": "FF_UK001L_20211103_023523_937_0847104.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,   0.142075,  35.767889,    88334.36,    82970.10,          0.015441,     26.75,     27.97,              79.29, 0.9655,    True,    True, {"ff_name": "FF_UK003G_20211103_023527_235_0841728.fits"}
    UK003R,   False,    -2.379340,    51.361330,  169.00,   0.019555,  36.307287,    87869.83,    81254.40,          0.015533,     23.89,     30.15,              84.10, 0.9894,    True,    True, {"ff_name": "FF_UK003R_20211103_023523_509_0203264.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.062087,  36.335468,    87652.98,    82201.29,          0.009136,     11.19,     14.46,              73.91, 0.9232,    True,    True, {"ff_name": "FF_UK003X_20211103_023529_979_0839424.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,       0,  0.003737, 2459521.608002256136,   3.02865,  59.42763,              311.73334,  48.36064,       311.74257,       48.36663,      3.02865,     +59.42763,       3.03422,      +59.43572,   734626.33,  3890345.86,  5096564.31,      52.343052,       -2.153322,   88811.93,  118085.66,       0.00,               14.08,   -55.08,      0.00,           36392.30,     10.56,     14.17,          30.86,  +3.90,  +3.54
  1,     UK001L,       0,  0.044181, 2459521.608002724126,   1.81948,  59.63353,              312.40552,  47.89477,       312.41116,       47.89840,      1.81948,     +59.63353,       1.82290,      +59.63852,   733868.67,  3889054.07,  5096024.86,      52.350025,       -2.146183,   87523.54,  117214.89,    1591.78,             1577.70,    70.94,  39357.62,           36392.30,      6.41,      8.61,          18.89,  +2.29,  +1.95
  2,     UK001L,       0,  0.084577, 2459521.608003191650,   0.73228,  59.81208,              312.99956,  47.47952,       312.99629,       47.47744,      0.73228,     +59.81208,       0.73084,      +59.80917,   733202.61,  3887918.43,  5095550.62,      52.356158,       -2.139922,   86390.99,  116462.56,    2991.14,             2977.07,    34.40,  34641.15,           36392.30,     -3.69,     -4.95,          10.93,  +1.37,  +1.04
  3,     UK001L,       0,  0.125001, 2459521.608003659640, 359.57596,  59.97838,              313.59909,  47.03404,       313.59883,       47.03387,    359.57596,     +59.97838,     359.57635,      +59.97814,   732514.59,  3886745.37,  5095060.75,      52.362494,       -2.133446,   85221.20,  115697.79,    4436.63,             4422.55,    42.99,  35758.08,           36392.30,     -0.30,     -0.40,           0.89,  +1.44,  +1.12
  4,     UK001L,       0,  0.165393, 2459521.608004127163, 358.47701,  60.13093,              314.16130,  46.61426,       314.15797,       46.61217,    358.47701,     +60.13093,     358.47606,      +60.12794,   731873.40,  3885652.14,  5094604.22,      52.368401,       -2.127418,   84131.11,  114997.12,    5783.74,             5769.66,   -45.66,  33350.84,           35662.61,     -3.72,     -4.99,          11.15,  +1.77,  +1.47
  5,     UK001L,       0,  0.205793, 2459521.608004594687, 357.36175,  60.27134,              314.71317,  46.18759,       314.71065,       46.18601,    357.36175,     +60.27134,     357.36143,      +60.26906,   731237.27,  3884567.56,  5094151.31,      52.374263,       -2.121436,   83049.72,  114313.39,    7120.18,             7106.11,  -145.25,  33080.41,           35085.29,     -2.81,     -3.77,           8.48,  +2.47,  +2.18
  6,     UK001L,       0,  0.246093, 2459521.608005061280, 356.52983,  60.35874,              315.10306,  45.86496,       315.11062,       45.86967,    356.52983,     +60.35874,     356.53421,      +60.36561,   730773.58,  3883776.97,  5093821.16,      52.378537,       -2.117118,   82261.48,  113823.75,    8094.37,             8080.30,  -603.54,  24173.47,           33713.39,      8.38,     11.25,          25.43,  +3.77,  +3.49
  0,     UK003G,       0,  0.009905, 2459521.608002326917, 295.71861,  73.46545,              347.85413,  37.23019,       347.87798,       37.23904,    295.71861,     +73.46545,     295.67379,      +73.48206,   734345.49,  3889867.04,  5096364.36,      52.345636,       -2.150639,   88334.36,  144079.56,       0.00,              575.94,   287.52,      0.00,           34541.49,     38.08,     36.41,          75.42,  +5.06,  +4.27
  1,     UK003G,       0,  0.050265, 2459521.608002793975, 294.52315,  73.20455,              348.08845,  36.84211,       348.10042,       36.84655,    294.52315,     +73.20455,     294.50053,      +73.21279,   733820.81,  3888972.47,  5095990.79,      52.350466,       -2.145746,   87442.16,  143892.03,    1102.31,             1678.25,   -44.78,  27312.01,           34541.49,     19.17,     18.33,          38.02,  +2.30,  +1.51
  2,     UK003G,       0,  0.090765, 2459521.608003262896, 292.91677,  72.83222,              348.41237,  36.30264,       348.40777,       36.30094,    292.91677,     +72.83222,     292.92606,      +72.82911,   733094.25,  3887733.68,  5095473.47,      52.357156,       -2.138902,   86206.75,  143645.08,    2628.78,             3204.72,    42.09,  37690.44,           34541.49,     -7.39,     -7.06,          14.67,  +1.53,  +0.74
  3,     UK003G,       0,  0.131269, 2459521.608003731351, 291.47581,  72.41489,              348.68206,  35.74429,       348.71066,       35.75487,    291.47581,     +72.41489,     291.42028,      +72.43397,   732370.52,  3886499.73,  5094958.18,      52.363822,       -2.132080,   84976.27,  143414.74,    4149.29,             4725.23,   122.86,  37539.86,           34541.49,     46.15,     44.14,          91.84,  +1.49,  +0.71
  4,     UK003G,       0,  0.171657, 2459521.608004198875, 290.32417,  72.11370,              348.93021,  35.32836,       348.94064,       35.33221,    290.32417,     +72.11370,     290.30428,      +72.12057,   731812.74,  3885548.72,  5094561.04,      52.368960,       -2.126858,   84027.99,  143248.33,    5321.15,             5897.09,  -140.89,  29015.13,           33843.04,     16.88,     16.14,          33.62,  +2.40,  +1.62
  5,     UK003G,       0,  0.212089, 2459521.608004666865, 289.12304,  71.75500,              349.18319,  34.85450,       349.19564,       34.85909,    289.12304,     +71.75500,     289.09916,      +71.76308,   731190.44,  3884487.70,  5094117.96,      52.374695,       -2.121009,   82970.10,  143073.48,    6628.57,             7204.51,  -270.65,  32336.15,           33428.21,     20.21,     19.33,          40.31,  +3.18,  +2.40
  0,     UK003R,       0,  0.034297, 2459521.608002609108, 233.00771,  75.10772,                8.20115,  37.64150,         8.16507,       37.63435,    233.00771,     +75.10772,     233.12181,      +75.11089,   734072.32,  3889401.28,  5096169.86,      52.348151,       -2.148106,   87869.83,  142024.13,       0.00,             1149.86,    -5.59,      0.00,           36215.38,    -57.23,    -45.34,         106.04,  +2.82,  +2.06
  1,     UK003R,       0,  0.074769, 2459521.608003077097, 233.34046,  74.55537,                8.33682,  37.09283,         8.32984,       37.09145,    233.34046,     +74.55537,     233.36219,      +74.55596,   733409.62,  3888271.38,  5095698.02,      52.354252,       -2.141880,   86742.97,  141907.96,    1392.28,             2542.15,   -51.90,  34401.16,           36215.38,    -11.13,     -8.82,          20.64,  +2.08,  +1.32
  2,     UK003R,       0,  0.115253, 2459521.608003546018, 233.52951,  73.97298,                8.52208,  36.52732,         8.50005,       36.52295,    233.52951,     +73.97298,     233.59571,      +73.97479,   732717.08,  3887090.62,  5095204.93,      52.360629,       -2.135361,   85565.47,  141801.04,    2847.26,             3997.12,   -35.95,  35939.53,           36215.38,    -35.37,    -28.03,          65.64,  +1.75,  +0.99
  3,     UK003R,       0,  0.155777, 2459521.608004014939, 233.78177,  73.35080,                8.69541,  35.91692,         8.67998,       35.91386,    233.78177,     +73.35080,     233.82711,      +73.35203,   731976.52,  3885827.97,  5094677.65,      52.367451,       -2.128375,   84306.44,  141703.15,    4403.13,             5552.99,    79.47,  38393.82,           36215.38,    -24.94,    -19.76,          46.31,  +2.09,  +1.33
  4,     UK003R,       0,  0.196205, 2459521.608004482929, 233.98891,  72.84625,                8.82857,  35.42044,         8.82294,       35.41932,    233.98891,     +72.84625,     234.00568,      +72.84669,   731376.07,  3884804.20,  5094250.13,      52.372984,       -2.122738,   83285.66,  141635.93,    5664.65,             6814.51,   -96.05,  31204.10,           35423.49,     -9.15,     -7.25,          17.00,  +2.78,  +2.02
  5,     UK003R,       1,  0.236681, 2459521.608004951384, 234.06637,  72.26077,                9.03320,  34.85890,         8.98625,       34.84960,    234.06637,     +72.26077,     234.19693,      +72.26433,   730685.31,  3883626.46,  5093758.30,      52.379351,       -2.116224,   82111.47,  141572.62,    7115.89,             8265.76,   -83.55,  35854.42,           35258.63,    -76.76,    -60.82,         142.69,  +6.19,  +5.44
  6,     UK003R,       0,  0.277045, 2459521.608005418442, 234.31510,  71.83890,                9.10872,  34.43464,         9.10261,       34.43343,    234.31510,     +71.83890,     234.33283,      +71.83935,   730181.09,  3882766.77,  5093399.30,      52.384000,       -2.111512,   81254.40,  141535.30,    8175.23,             9325.09,  -458.97,  26244.57,           34236.90,    -10.03,     -7.95,          18.66,  +5.57,  +4.82
  0,     UK003X,       1,  0.000000, 2459521.608002212364, 183.78793,  82.52057,               11.11996,  49.24166,        11.06283,       49.23314,    183.78793,     +82.52057,     183.96196,      +82.55144,   734472.01,  3890082.75,  5096454.44,      52.344472,       -2.151818,   88549.52,  116155.36,       0.00,              310.13,   373.80,      0.00,           32620.12,    -61.36,    -47.46,         137.75,  +4.95,  +4.62
  1,     UK003X,       0,  0.040440, 2459521.608002680354, 187.14219,  82.23614,               11.22638,  48.71839,        11.23262,       48.71932,    187.14219,     +82.23614,     187.12252,      +82.23288,   733944.80,  3889183.86,  5096079.06,      52.349325,       -2.146901,   87652.98,  115862.80,    1107.65,             1417.78,    43.98,  27389.94,           32620.12,      6.75,      5.22,          15.19,  +1.74,  +1.42
  2,     UK003X,       0,  0.080992, 2459521.608003149740, 190.74662,  81.81023,               11.42967,  48.07565,        11.44178,       48.07745,    190.74662,     +81.81023,     190.70731,      +81.80416,   733290.39,  3888068.11,  5095613.13,      52.355350,       -2.140755,   86540.25,  115513.66,    2482.51,             2792.63,   -22.60,  33903.55,           32620.12,     13.21,     10.22,          29.83,  +1.18,  +0.87
  3,     UK003X,       0,  0.121580, 2459521.608003619593, 194.10793,  81.30686,               11.67255,  47.39016,        11.66097,       47.38843,    194.10793,     +81.30686,     194.14689,      +81.31240,   732592.67,  3886878.49,  5095116.35,      52.361775,       -2.134186,   85353.95,  115158.32,    3948.38,             4258.51,     0.55,  36115.93,           32620.12,    -12.76,     -9.87,          28.90,  +1.19,  +0.88
  4,     UK003X,       0,  0.162168, 2459521.608004089445, 197.16381,  80.79641,               11.87726,  46.70693,        11.87219,       46.70618,    197.16381,     +80.79641,     197.18139,      +80.79873,   731906.29,  3885708.23,  5094627.65,      52.368098,       -2.127723,   84187.04,  114825.81,    5390.41,             5700.54,    -0.14,  35528.55,           33595.26,     -5.65,     -4.37,          12.82,  +1.55,  +1.25
  5,     UK003X,       0,  0.202712, 2459521.608004558366, 199.69350,  80.30032,               12.06680,  46.07334,        12.06286,       46.07275,    199.69350,     +80.30032,     199.70738,      +80.30204,   731272.77,  3884628.07,  5094176.58,      52.373936,       -2.121766,   83110.06,  114533.95,    6721.42,             7031.54,  -110.30,  32828.61,           33763.99,     -4.42,     -3.42,          10.05,  +2.04,  +1.75
  6,     UK003X,       0,  0.243176, 2459521.608005026821, 201.57216,  79.85782,               12.24520,  45.53945,        12.21985,       45.53567,    201.57216,     +79.85782,     201.65633,      +79.86856,   730738.16,  3883716.57,  5093795.94,      52.378864,       -2.116763,   82201.29,  114298.78,    7844.59,             8154.71,  -425.44,  27757.36,           33182.14,    -28.64,    -22.16,          65.34,  +3.40,  +3.11

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.