Orbital Analysis for matched events on 20211103_052101.041_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 118.27° Bg 29.52° Vg 63.59km/s
mass 0.01030g, abs. mag 0.4
best visual mag 1.0
Path Details
------------
start 0.71° 51.91° 110.19km
end   0.70° 51.92° 94.16km

Orbit Details
-------------
Semimajor axis 11.43A.U., eccentricity 0.92, inclination 127.46°, Period 38.63Y, LA Sun 220.71°, last Perihelion 1983-04-11

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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: 2459521.722928726114
Time: 2021-11-03 05:21:01.041936 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK0034
 Convergence angle = 72.98269 deg
 R.A. = 129.74216  Dec = +49.20685 deg
Intersection 2 - Stations: UK002F and UK0035
 Convergence angle = 72.45715 deg
 R.A. = 130.71881  Dec = +49.18187 deg
Intersection 3 - Stations: UK002F and UK004P
 Convergence angle = 76.67269 deg
 R.A. = 128.98261  Dec = +49.22057 deg
Intersection 4 - Stations: UK0034 and UK0035
 Convergence angle = 0.80508 deg
 R.A. = 295.56105  Dec =  -1.57747 deg
Intersection 5 - Stations: UK0034 and UK004P
 Convergence angle = 3.72096 deg
 R.A. = 126.49352  Dec = +42.09539 deg
Intersection 6 - Stations: UK0035 and UK004P
 Convergence angle = 4.35514 deg
 R.A. = 124.57589  Dec = +35.18626 deg

Best intersection: Stations UK002F and UK004P with Qconv = 76.67 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2222964.95 +/- 58.68 m
 Y =   3338385.58 +/- 40.18 m
 Z =   5083669.05 +/- 92.84 m
 Vx =   -26835.94 +/- 106.86 m/s
 Vy =    32614.21 +/- 362.71 m/s
 Vz =    48819.34 +/- 395.00 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.849455e+03, -7.022801e+02, -3.587778e+03, +1.234247e+04, +5.035124e+03, -4.575406e+03
-7.022801e+02, +1.722815e+03, +2.608690e+03, +5.944537e+03, -3.472069e+03, -2.795800e+03
-3.587778e+03, +2.608690e+03, +9.255662e+03, +2.547888e+03, -1.410028e+04, +1.150754e+04
+1.234247e+04, +5.944537e+03, +2.547888e+03, +1.074236e+05, -1.265943e+04, -4.209890e+04
+5.035124e+03, -3.472069e+03, -1.410028e+04, -1.265943e+04, +3.651504e+04, -6.064623e+03
-4.575406e+03, -2.795800e+03, +1.150754e+04, -4.209890e+04, -6.064623e+03, +8.844948e+04

Timing offsets (from input data):
    UK002F: -0.000213 s
    UK0034: 0.000297 s
    UK0035: 0.000376 s
    UK004P: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 05:21:01.041936 UTC
  Lon     = ++0.712163 +/- 0.0007 deg
  Lat     = +51.911972 +/- 0.0003 deg
  Lat geo = +51.728161 +/- 0.0003 deg
  Ht      =  110367.14 +/- 100.12 m

  JD dynamic   = 2459521.723729467019 
  LST apparent = 123.6588610101 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 129.44856 +/- 0.3444 deg
  Dec       = +49.13552 +/- 0.2159 deg
  Azimuth   = 124.76511 +/- 2.9025 deg
  Elevation = +85.39173 +/- 0.2293 deg
  Vavg      =  62.80853 +/- 0.0723 km/s
  Vinit     =  64.55372 +/- 0.3129 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 129.84301 +/- 0.3444 deg
  Dec       = +49.11505 +/- 0.2159 deg
  Azimuth   = 123.00487 +/- 2.9025 deg
  Elevation = +85.17697 +/- 0.2293 deg
  Vavg      =  62.82849 +/- 0.0723 km/s
  Vinit     =  64.57368 +/- 0.3129 km/s
Radiant (geocentric, J2000):
  R.A.   = 129.10097 +/- 0.3472 deg
  Dec    = +49.19202 +/- 0.2175 deg
  Vg     =  63.59302 +/- 0.3177 km/s
  Vinf   =  64.55372 +/- 0.3129 km/s
  Zc     =   4.50598 +/- 0.2294 deg
  Zg     =   4.53978 +/- 0.2310 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 118.27224 +/- 0.2649 deg
  Bg     = +29.52023 +/- 0.2129 deg
  Vh     =  41.36178 +/- 0.3003 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 103.47934 +/- 0.6309 deg
  Bh     = +49.25024 +/- 0.2904 deg
  Vh_x   =   6.29336 +/- 0.3189 km/s
  Vh_y   = -26.25545 +/- 0.1972 km/s
  Vh_z   = -31.33435 +/- 0.2833 km/s
Orbit:
  La Sun = 220.709593 +/- -0.0000 deg
  a      =  11.427524 +/- 3.4901 AU
  e      =   0.921263 +/- 0.0245
  i      = 127.457070 +/- 0.3545 deg
  peri   = 216.298193 +/- 1.1993 deg
  node   = 220.712245 +/- 0.0000 deg
  Pi     =  77.010438 +/- 1.1993 deg
  q      =   0.899768 +/- 0.0050 AU
  f      = 323.702800 +/- 1.1993 deg
  M      = 359.381703 +/- 0.3664 deg
  Q      =  21.955280 +/- 6.9765 AU
  n      =   0.025514 +/- 0.0133 deg/day
  T      =  38.630367 +/- 19.2327 years
  Last perihelion JD = 2445435.970240 (1983-04-11 11:17:08.696023) +/- 7025.5288 days
  Tj     =  -0.245607 +/- 0.1516
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.401978e-04, +9.685694e-05, -1.577642e+02, +2.271944e-08, -2.645258e-02, +1.055909e-03
q   , +9.685694e-05, +2.625858e-05, -2.586652e+01, +1.297265e-08, -6.270286e-03, +6.022115e-04
Tp  , -1.577642e+02, -2.586652e+01, +5.226931e+07, +1.714904e-03, +6.877353e+03, +7.600900e+01
node, +2.271944e-08, +1.297265e-08, +1.714904e-03, +6.027951e-11, -2.811855e-06, +2.796996e-06
peri, -2.645258e-02, -6.270286e-03, +6.877353e+03, -2.811855e-06, +1.536508e+00, -1.305309e-01
i   , +1.055909e-03, +6.022115e-04, +7.600900e+01, +2.796996e-06, -1.305309e-01, +1.297840e-01

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

Mean time residuals from time vs. length:
  Station with reference time: UK004P
  Avg. res. = 1.406e-06 s
  Stddev    = 1.19e-03 s

Begin point on the trajectory:
  Lon =     0.711991 +/- 0.0007 deg
  Lat =    51.912046 +/- 0.0003 deg
  Ht  = 110185.03 +/- 31.66 m
End point on the trajectory:
  Lon =     0.695727 +/- 0.0004 deg
  Lat =    51.918569 +/- 0.0002 deg
  Ht  = 94158.82 +/- 22.81 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107153.75,    94581.54,          0.007844,      9.62,     21.24,              47.92, 0.5508,    True,    True, {"ff_name": "FF_UK002F_20211103_052056_835_1067008.fits"}
    UK0034,   False,     1.010397,    52.949859,   25.00,   0.137435,  30.154337,   109407.46,    94158.82,          0.027438,     56.73,     49.77,              44.66, 0.4940,    True,    True, {"ff_name": "FF_UK0034_20211103_052054_997_1111296.fits"}
    UK0035,   False,     1.010397,    52.949859,   25.00,   0.000000,   0.000000,   107124.33,    94397.10,          0.032175,     64.97,     56.82,              44.66, 0.4940,    True,    True, {"ff_name": "FF_UK0035_20211103_052100_836_1111552.fits"}
    UK004P,   False,     0.265814,    50.757198,   61.00,   2.595176,  18.326277,   110185.03,    94835.52,          0.030439,     72.61,     55.53,              51.68, 0.6155,    True,    True, {"ff_name": "FF_UK004P_20211103_052052_589_1101568.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,     UK002F,       1,  0.014543, 2459521.722928924952, 187.88068,  29.64093,               87.85661,  37.24714,        87.85544,       37.24719,    187.88068,     +29.64093,     187.88147,      +29.64163, -2222393.99,  3337691.69,  5082630.39,      51.912528,       +0.710796,  108998.16,  177415.12,       0.00,             1373.42,   359.35,      0.00,           64159.16,     -2.65,     -1.20,           3.38,  +4.78,  +3.54
  1,     UK002F,       0,  0.054915, 2459521.722929392476, 188.26524,  29.35004,               87.81903,  36.80470,        87.82047,       36.80463,    188.26524,     +29.35004,     188.26460,      +29.34917, -2221624.77,  3336756.84,  5081231.02,      51.913278,       +0.708882,  107153.75,  176168.23,    1850.37,             3223.79,  -396.44,  45833.12,           64159.16,      3.23,      1.46,           4.15,  +3.36,  +2.13
  2,     UK002F,       0,  0.095575, 2459521.722929862794, 188.94315,  28.83545,               87.74898,  36.02205,        87.75975,       36.02151,    188.94315,     +28.83545,     188.93693,      +28.82893, -2220292.55,  3335137.77,  5078807.48,      51.914576,       +0.705686,  103959.45,  174041.02,    5055.02,             6428.44,   183.45,  78815.69,           64159.16,     24.16,     10.94,          31.42,  +1.55,  +0.35
  3,     UK002F,       0,  0.136107, 2459521.722930332180, 189.47623,  28.40423,               87.71207,  35.38643,        87.71134,       35.38646,    189.47623,     +28.40423,     189.47726,      +28.40467, -2219234.70,  3333852.14,  5076883.07,      51.915609,       +0.703111,  101423.00,  172373.73,    7599.67,             8973.09,   111.61,  62781.22,           64159.16,     -1.63,     -0.74,           2.14,  +1.63,  +0.45
  4,     UK002F,       0,  0.176643, 2459521.722930801101, 190.00803,  27.97012,               87.67409,  34.74831,        87.66349,       34.74884,    190.00803,     +27.97012,     190.01542,      +27.97658, -2218192.61,  3332585.68,  5074987.33,      51.916626,       +0.700570,   98924.33,  170752.33,   10106.40,            11479.82,     1.59,  61839.61,           64046.12,    -23.69,    -10.73,          31.41,  +1.65,  +0.49
  5,     UK002F,       0,  0.217231, 2459521.722931270953, 190.60369,  27.51814,               87.59758,  34.05678,        87.61236,       34.05604,    190.60369,     +27.51814,     190.59527,      +27.50910, -2217082.47,  3331236.50,  5072967.79,      51.917711,       +0.697872,   96262.48,  169049.47,   12776.84,            14150.26,    51.92,  65793.81,           64263.82,     32.96,     14.92,          44.15,  +1.63,  +0.49
  6,     UK002F,       0,  0.257599, 2459521.722931738012, 190.95706,  27.20248,               87.58959,  33.61170,        87.57994,       33.61218,    190.95706,     +27.20248,     190.96428,      +27.20840, -2216381.44,  3330384.53,  5071692.49,      51.918397,       +0.696106,   94581.54,  167983.60,   14463.16,            15836.58,  -867.66,  41773.72,           61943.14,    -21.49,     -9.74,          28.97,  +4.13,  +3.00
  0,     UK0034,       0,  0.011917, 2459521.722928856499, 116.42547,   5.59977,              190.14990,  42.24821,       190.11500,       42.24552,    116.42547,      +5.59977,     116.45104,       +5.59434, -2222564.70,  3337899.15,  5082940.93,      51.912362,       +0.711208,  109407.46,  161066.92,       0.00,              962.79,   118.23,      0.00,           62376.56,     48.13,    -54.91,          93.50,  +3.44,  +2.40
  1,     UK0034,       0,  0.052473, 2459521.722929325886, 116.26477,   4.96677,              190.27247,  41.60170,       190.21058,       41.59692,    116.26477,      +4.96677,     116.31066,       +4.95705, -2221498.35,  3336603.20,  5081001.05,      51.913401,       +0.708619,  106850.64,  159262.11,    2565.11,             3527.89,    65.29,  63248.52,           62376.56,     85.31,    -97.21,         167.51,  +1.82,  +0.81
  2,     UK0034,       0,  0.093033, 2459521.722929795738, 116.15074,   4.32349,              190.33028,  40.94990,       190.30442,       40.94791,    116.15074,      +4.32349,     116.17038,       +4.31940, -2220454.97,  3335335.16,  5079102.96,      51.914418,       +0.706079,  104348.89,  157516.66,    5074.95,             6037.74,   -43.16,  61879.71,           62376.56,     35.57,    -40.58,          70.67,  +1.71,  +0.72
  3,     UK0034,       0,  0.133605, 2459521.722930265125, 115.99720,   3.67038,              190.43720,  40.28400,       190.39889,       40.28105,    115.99720,      +3.67038,     116.02653,       +3.66426, -2219406.43,  3334060.85,  5077195.48,      51.915441,       +0.703526,  101834.76,  155783.62,    7597.20,             8559.99,  -139.99,  62167.28,           62376.56,     52.65,    -60.03,         105.72,  +1.28,  +0.32
  4,     UK0034,       0,  0.174261, 2459521.722930735908, 115.82927,   2.92320,              190.54736,  39.52292,       190.50388,       39.51957,    115.82927,      +2.92320,     115.86301,       +2.91617, -2218236.85,  3332639.44,  5075067.81,      51.916583,       +0.700695,   99030.41,  153876.11,   10410.61,            11373.40,    48.93,  69200.51,           63707.01,     59.72,    -68.05,         121.37,  +1.48,  +0.54
  5,     UK0034,       0,  0.214857, 2459521.722931205761, 115.71318,   2.24372,              190.59906,  38.83478,       190.59701,       38.83462,    115.71318,      +2.24372,     115.71564,       +2.24339, -2217209.07,  3331390.36,  5073198.09,      51.917587,       +0.698184,   96566.03,  152223.27,   12882.94,            13845.73,   -99.37,  60900.67,           63685.54,      2.80,     -3.20,           5.76,  +1.42,  +0.51
  6,     UK0034,       0,  0.255445, 2459521.722931675147, 115.56109,   1.57341,              190.69665,  38.15171,       190.68829,       38.15107,    115.56109,      +1.57341,     115.56862,       +1.57204, -2216205.14,  3330170.26,  5071371.75,      51.918569,       +0.695727,   94158.82,  150630.49,   15297.90,            16260.69,  -304.51,  59499.43,           63229.37,     11.44,    -13.05,          23.76,  +2.20,  +1.31
  0,     UK0035,       0,  0.053433, 2459521.722929334734, 116.35366,   5.01990,              190.16229,  41.66402,       190.20104,       41.66699,    116.35366,      +5.01990,     116.32531,       +5.02595, -2221612.50,  3336741.92,  5081208.70,      51.913290,       +0.708875,  107124.33,  159454.50,       0.00,             3253.31,  -271.29,      0.00,           66744.03,    -53.30,     60.97,         104.75,  +2.39,  +1.38
  1,     UK0035,       0,  0.094057, 2459521.722929805052, 116.17172,   4.26125,              190.29384,  40.89029,       190.31210,       40.89169,    116.17172,      +4.26125,     116.15851,       +4.26413, -2220365.61,  3335226.56,  5078940.40,      51.914505,       +0.705873,  104134.64,  157368.04,    2999.37,             6252.69,   105.66,  73832.55,           66744.03,    -25.09,     28.66,          49.93,  +1.62,  +0.64
  2,     UK0035,       0,  0.134565, 2459521.722930273972, 116.04142,   3.63190,              190.37420,  40.25055,       190.40273,       40.25274,    116.04142,      +3.63190,     116.02053,       +3.63644, -2219362.42,  3334007.37,  5077115.42,      51.915484,       +0.703422,  101729.24,  155711.31,    5412.54,             8665.85,   -96.12,  59572.62,           66744.03,    -39.17,     44.76,          78.79,  +1.34,  +0.38
  3,     UK0035,       0,  0.175165, 2459521.722930743825, 115.89839,   2.87997,              190.45229,  39.48754,       190.50756,       39.49177,    115.89839,      +2.87997,     115.85713,       +2.88885, -2218194.68,  3332588.19,  5074991.09,      51.916624,       +0.700596,   98929.29,  153807.82,    8221.53,            11474.85,    91.99,  69187.00,           66744.03,    -75.74,     86.63,         154.32,  +1.04,  +0.11
  4,     UK0035,       0,  0.215761, 2459521.722931213677, 115.73031,   2.15889,              190.56517,  38.75236,       190.60710,       38.75557,    115.73031,      +2.15889,     115.69904,       +2.16570, -2217091.81,  3331247.85,  5072984.77,      51.917702,       +0.697914,   96284.87,  152035.95,   10874.49,            14127.80,   124.32,  65350.14,           66470.65,    -57.41,     65.62,         118.29,  +1.26,  +0.35
  5,     UK0035,       0,  0.256189, 2459521.722931681667, 115.62300,   1.63039,              190.62649,  38.21523,       190.67988,       38.21932,    115.62300,      +1.63039,     115.58282,       +1.63913, -2216304.52,  3330291.04,  5071552.55,      51.918472,       +0.695951,   94397.10,  150787.37,   12768.31,            16021.62,  -591.63,  46844.34,           63599.53,    -73.02,     83.49,         151.72,  +3.61,  +2.72
  0,     UK004P,       0,  0.000000, 2459521.722928726114, 259.57938,  74.93628,               13.33551,  38.96632,        13.43040,       38.95919,    259.57938,     +74.93628,     259.36040,      +74.88888, -2222889.00,  3338293.28,  5083530.88,      51.912046,       +0.711991,  110185.03,  172926.57,       0.00,              182.70,   107.40,      0.00,           63475.84,    135.89,   -177.75,         266.88,  +4.36,  +3.17
  1,     UK004P,       0,  0.040588, 2459521.722929195967, 261.03391,  74.36251,               13.32916,  38.27538,        13.34161,       38.27445,    261.03391,     +74.36251,     261.00548,      +74.35644, -2221797.63,  3336966.92,  5081545.49,      51.913109,       +0.709345,  107568.23,  171307.32,    2625.28,             2807.98,   112.58,  64681.26,           63475.84,     17.85,    -23.28,          35.32,  +2.47,  +1.30
  2,     UK004P,       0,  0.081152, 2459521.722929665353, 262.54476,  73.83797,               13.23737,  37.61117,        13.25677,       37.60972,    262.54476,     +73.83797,     262.50068,      +73.82873, -2220757.45,  3335702.77,  5079653.22,      51.914123,       +0.706813,  105074.16,  169787.35,    5127.43,             5310.12,    -3.83,  61683.84,           63475.84,     27.83,    -36.32,          55.58,  +2.01,  +0.86
  3,     UK004P,       0,  0.121760, 2459521.722930135205, 264.02528,  73.26007,               13.15469,  36.90029,        13.16802,       36.89929,    264.02528,     +73.26007,     263.99549,      +73.25388, -2219665.94,  3334376.24,  5077667.58,      51.915188,       +0.704163,  102457.01,  168217.75,    7753.03,             7935.73,     0.38,  64657.41,           63475.84,     19.11,    -24.94,          38.53,  +1.79,  +0.66
  4,     UK004P,       0,  0.162348, 2459521.722930605058, 265.38844,  72.69784,               13.06497,  36.21466,        13.08362,       36.21326,    265.38844,     +72.69784,     265.34702,      +72.68938, -2218630.82,  3333118.23,  5075784.50,      51.916198,       +0.701638,   99975.03,  166753.67,   10243.03,            10425.72,  -129.74,  61348.01,           63108.74,     26.75,    -34.91,          54.40,  +1.76,  +0.65
  5,     UK004P,       0,  0.202988, 2459521.722931075376, 266.71986,  72.06704,               12.99339,  35.46842,        12.99399,       35.46838,    266.71986,     +72.06704,     266.71937,      +72.06678, -2217527.07,  3331776.83,  5073776.59,      51.917276,       +0.698956,   97328.52,  165219.75,   12898.08,            13080.78,   -98.14,  65331.08,           63321.78,      0.86,     -1.12,           1.76,  +2.15,  +1.06
  6,     UK004P,       0,  0.243604, 2459521.722931545693, 267.90324,  71.45214,               12.93071,  34.75244,        12.90929,       34.75403,    267.90324,     +71.45214,     267.95159,      +71.46140, -2216487.36,  3330513.25,  5071885.17,      51.918293,       +0.696417,   94835.52,  163800.94,   15399.11,            15581.80,  -219.03,  61577.33,           63210.81,    -30.74,     40.09,          63.61,  +2.35,  +1.28

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.