Orbital Analysis for matched events on 20211111_224416.388_UK

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Summary for Event
-----------------
shower ID -1 spo (Sporadic)
Lg 45.17° Bg 5.83° Vg 20.68km/s
mass 0.07808g, abs. mag 0.1
best visual mag 0.2
Path Details
------------
start -0.69° 52.13° 81.65km
end   -0.71° 52.16° 75.03km

Orbit Details
-------------
Semimajor axis 2.54A.U., eccentricity 0.75, inclination 3.80°, Period 4.04Y, LA Sun 229.47°, last Perihelion 2017-12-10

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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: 2459530.447411907371
Time: 2021-11-11 22:44:16.388797 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 28.16088 deg
 R.A. =  44.36601  Dec = +26.65429 deg
Intersection 2 - Stations: UK000C and UK003X
 Convergence angle = 54.14932 deg
 R.A. =  44.30800  Dec = +25.87189 deg
Intersection 3 - Stations: UK000C and UK004P
 Convergence angle = 19.79422 deg
 R.A. =  43.91108  Dec = +20.24224 deg
Intersection 4 - Stations: UK002F and UK003X
 Convergence angle = 25.99313 deg
 R.A. =  43.51566  Dec = +25.42154 deg
Intersection 5 - Stations: UK002F and UK004P
 Convergence angle = 47.87759 deg
 R.A. =  42.66651  Dec = +24.15986 deg
Intersection 6 - Stations: UK003X and UK004P
 Convergence angle = 73.86426 deg
 R.A. =  42.45386  Dec = +24.80600 deg

Best intersection: Stations UK003X and UK004P with Qconv = 73.86 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3382197.92 +/- 25.74 m
 Y =   2086122.99 +/- 77.00 m
 Z =   5076098.37 +/- 88.93 m
 Vx =    16259.95 +/- 625.73 m/s
 Vy =    14023.40 +/- 432.08 m/s
 Vz =     9504.16 +/- 524.15 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.695869e+02, -2.400141e+02, -1.627281e+02, -8.121600e+02, -6.924487e+03, -7.823655e+03
-2.400141e+02, +6.054463e+03, +5.001298e+03, -1.029834e+04, +2.068128e+04, +2.102099e+04
-1.627281e+02, +5.001298e+03, +7.012720e+03, -8.451681e+03, +1.815248e+04, +3.055779e+04
-8.121600e+02, -1.029834e+04, -8.451681e+03, +3.102727e+04, -1.867359e+04, -1.518726e+04
-6.924487e+03, +2.068128e+04, +1.815248e+04, -1.867359e+04, +1.387851e+05, +1.505179e+05
-7.823655e+03, +2.102099e+04, +3.055779e+04, -1.518726e+04, +1.505179e+05, +2.201907e+05

Timing offsets (from input data):
    UK000C: 0.000851 s
    UK002F: 0.000000 s
    UK003X: 0.000843 s
    UK004P: 0.001249 s

Reference point on the trajectory:
  Time: 2021-11-11 22:44:16.388797 UTC
  Lon     = +-0.693950 +/- 0.0010 deg
  Lat     = +52.128760 +/- 0.0004 deg
  Lat geo = +51.944474 +/- 0.0004 deg
  Ht      =   81644.90 +/- 88.45 m

  JD dynamic   = 2459530.448212648276 
  LST apparent = 31.6660806959 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  40.77612 +/- 0.8657 deg
  Dec       = +23.87574 +/- 0.9296 deg
  Azimuth   = 162.67965 +/- 1.9959 deg
  Elevation = +60.90150 +/- 0.7591 deg
  Vavg      =  23.10921 +/- 0.1873 km/s
  Vinit     =  23.48128 +/- 0.4429 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  41.53794 +/- 0.8657 deg
  Dec       = +23.82864 +/- 0.9296 deg
  Azimuth   = 161.30231 +/- 1.9959 deg
  Elevation = +60.71083 +/- 0.7591 deg
  Vavg      =  23.15291 +/- 0.1873 km/s
  Vinit     =  23.52498 +/- 0.4429 km/s
Radiant (geocentric, J2000):
  R.A.   =  40.87157 +/- 0.8875 deg
  Dec    = +21.94831 +/- 1.0456 deg
  Vg     =  20.68117 +/- 0.4984 km/s
  Vinf   =  23.48128 +/- 0.4429 km/s
  Zc     =  28.92262 +/- 0.7572 deg
  Zg     =  30.79625 +/- 0.8651 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  45.16932 +/- 1.0464 deg
  Bg     =  +5.82675 +/- 0.8245 deg
  Vh     =  37.98091 +/- 0.1725 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 352.96159 +/- 0.8785 deg
  Bh     =  +3.16988 +/- 0.5433 deg
  Vh_x   = -37.63702 +/- 0.1715 km/s
  Vh_y   =   4.64686 +/- 0.5794 km/s
  Vh_z   =  -2.10021 +/- 0.3601 km/s
Orbit:
  La Sun = 229.467343 +/- -0.0000 deg
  a      =   2.536682 +/- 0.0914 AU
  e      =   0.750014 +/- 0.0099
  i      =   3.799770 +/- 0.7096 deg
  peri   = 260.723928 +/- 1.8591 deg
  node   = 229.458484 +/- 0.0011 deg
  Pi     = 130.182412 +/- 1.8600 deg
  q      =   0.634134 +/- 0.0148 AU
  f      = 279.284939 +/- 1.8600 deg
  M      = 349.410720 +/- 0.6906 deg
  Q      =   4.439230 +/- 0.1813 AU
  n      =   0.243953 +/- 0.0138 deg/day
  T      =   4.040170 +/- 0.2167 years
  Last perihelion JD = 2458098.157590 (2017-12-10 15:46:55.746827) +/- 79.4741 days
  Tj     =   2.973126 +/- 0.0738
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +8.880112e-05, -4.355465e-05, -6.424306e-01, +4.797477e-06, +2.427849e-03, +3.006175e-03
q   , -4.355465e-05, +1.979404e-04, -2.963418e-01, -1.230721e-05, -2.512207e-02, -7.275915e-03
Tp  , -6.424306e-01, -2.963418e-01, +6.772972e+03, +4.341907e-04, +6.526823e+01, -1.087682e+00
node, +4.797477e-06, -1.230721e-05, +4.341907e-04, +1.070667e-06, +1.477879e-03, +6.328331e-04
peri, +2.427849e-03, -2.512207e-02, +6.526823e+01, +1.477879e-03, +3.310026e+00, +8.657563e-01
i   , +3.006175e-03, -7.275915e-03, -1.087682e+00, +6.328331e-04, +8.657563e-01, +3.829905e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.142454
 a2 = 21.711056

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 5.809e-07 s
  Stddev    = 7.62e-04 s

Begin point on the trajectory:
  Lon =    -0.693945 +/- 0.0010 deg
  Lat =    52.128749 +/- 0.0003 deg
  Ht  = 81647.22 +/- 96.91 m
End point on the trajectory:
  Lon =    -0.711125 +/- 0.0008 deg
  Lat =    52.159973 +/- 0.0003 deg
  Ht  = 75031.43 +/- 85.83 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,    79289.15,    75997.30,          0.030585,     62.65,     24.68,              76.22, 0.9433,    True,    True, {"ff_name": "FF_UK000C_20211111_224414_472_0518912.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,  53.479661,   0.000000,    81647.22,    75031.43,          0.028023,     45.64,      8.70,              44.69, 0.4946,    True,    True, {"ff_name": "FF_UK002F_20211111_224410_962_0501248.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000000,  95.121572,    79903.73,    75853.33,          0.037629,     97.28,      0.64,              60.03, 0.7504,    True,    True, {"ff_name": "FF_UK003X_20211111_224412_343_0514560.fits"}
    UK004P,   False,     0.265814,    50.757198,   61.00,   0.000000,   0.000000,    78940.26,    76563.72,          0.017507,     51.19,     25.17,              92.31, 0.9984,    True,    True, {"ff_name": "FF_UK004P_20211111_224409_908_0526848.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,     UK000C,       0,  0.108258, 2459530.447413049173, 207.41929,  77.16484,                1.19429,  38.45542,         1.10955,       38.46599,    207.41929,     +77.16484,     207.71505,      +77.17915,  3380330.97,  2084512.84,  5075007.12,      52.139870,       -0.699994,   79289.15,  126159.43,       0.00,             2696.10,    23.21,      0.00,           23110.55,    -54.23,   -137.65,         241.89,  +4.31,  +3.81
  1,     UK000C,       0,  0.148518, 2459530.447413515300, 208.10326,  76.77052,                1.02519,  38.05338,         1.01960,       38.05407,    208.10326,     +76.77052,     208.12256,      +76.77143,  3379683.18,  2083954.15,  5074628.47,      52.143727,       -0.702118,   78471.78,  125978.28,     935.49,             3631.59,    13.34,  23236.14,           23110.55,     -3.59,     -9.12,          16.04,  +1.18,  +0.68
  2,     UK000C,       0,  0.188814, 2459530.447413981892, 208.49601,  76.35451,                0.93401,  37.63361,         0.92907,       37.63422,    208.49601,     +76.35451,     208.51286,      +76.35529,  3379024.90,  2083386.42,  5074243.70,      52.147648,       -0.704274,   77641.21,  125801.08,    1886.11,             4582.21,    17.76,  23591.06,           23110.55,     -3.19,     -8.08,          14.25,  +1.23,  +0.73
  3,     UK000C,       0,  0.229094, 2459530.447414448019, 208.84249,  75.95876,                0.85000,  37.23481,         0.84373,       37.23559,    208.84249,     +75.95876,     208.86350,      +75.95973,  3378401.67,  2082848.92,  5073879.42,      52.151360,       -0.706326,   76854.87,  125639.72,    2786.13,             5482.23,   -28.05,  22344.10,           23110.55,     -4.06,    -10.30,          18.18,  +2.14,  +1.64
  4,     UK000C,       0,  0.269398, 2459530.447414914612, 209.26230,  75.52849,                0.73962,  36.80116,         0.75204,       36.79962,    209.26230,     +75.52849,     209.22347,      +75.52662,  3377721.97,  2082262.71,  5073482.12,      52.155410,       -0.708549,   75997.30,  125470.90,    3767.70,             6463.80,     7.14,  24354.20,           23298.81,      8.09,     20.50,          36.23,  +3.08,  +2.59
  0,     UK002F,       0,  0.000000, 2459530.447411907371,  87.41606,  57.80039,               56.81958,  57.98982,        56.72800,       58.02987,     87.41606,     +57.80039,      87.36502,      +57.85721,  3382199.76,  2086124.58,  5076099.45,      52.128749,       -0.693945,   81647.22,   95915.33,       0.00,                2.65,  -128.19,      0.00,           24668.05,    -19.68,   -103.45,         226.46,  +2.89,  +2.98
  1,     UK002F,       0,  0.040260, 2459530.447412373032,  88.12526,  58.01129,               56.26143,  57.67652,        56.20587,       57.70066,     88.12526,     +58.01129,      88.09473,      +58.04602,  3381523.82,  2085541.61,  5075704.35,      52.132771,       -0.696151,   80794.28,   95251.99,     976.14,              973.49,  -102.71,  24245.95,           24668.05,    -11.91,    -62.50,         137.78,  +1.76,  +1.87
  2,     UK002F,       0,  0.080540, 2459530.447412839159,  88.89945,  58.23554,               55.66792,  57.33624,        55.65324,       57.34257,     88.89945,     +58.23554,      88.89154,      +58.24480,  3380804.47,  2084921.20,  5075283.88,      52.137052,       -0.698489,   79886.60,   94552.36,    2014.97,             2012.31,    -9.71,  25790.15,           24668.05,     -3.14,    -16.45,          36.53,  +1.44,  +1.56
  3,     UK002F,       0,  0.120816, 2459530.447413305752,  89.64995,  58.41075,               55.17219,  56.99893,        55.14950,       57.00867,     89.64995,     +58.41075,      89.63810,      +58.42517,  3380146.44,  2084353.69,  5074899.26,      52.140969,       -0.700644,   79056.32,   93917.46,    2965.23,             2962.57,    -5.19,  23593.68,           24668.05,     -4.84,    -25.33,          56.64,  +0.51,  +0.65
  4,     UK002F,       0,  0.161076, 2459530.447413771413,  90.37733,  58.61101,               54.64099,  56.68265,        54.65818,       56.67531,     90.37733,     +58.61101,      90.38661,      +58.60000,  3379501.86,  2083797.77,  5074522.49,      52.144807,       -0.702758,   78243.00,   93300.65,    3896.08,             3893.43,   -19.69,  23121.10,           24288.72,      3.66,     19.13,          43.05,  +0.22,  +0.37
  5,     UK002F,       0,  0.201372, 2459530.447414238006,  91.19227,  58.78398,               54.13965,  56.31847,        54.14333,       56.31691,     91.19227,     +58.78398,      91.19465,      +58.78160,  3378822.63,  2083211.97,  5074125.47,      52.148853,       -0.704978,   77385.99,   92656.65,    4876.98,             4874.32,    15.01,  24342.23,           24187.97,      0.78,      4.09,           9.26,  +0.39,  +0.56
  6,     UK002F,       0,  0.241640, 2459530.447414704133,  91.95716,  58.97936,               53.61448,  55.98850,        53.65699,       55.97057,     91.95716,     +58.97936,      91.97913,      +58.95167,  3378178.29,  2082656.26,  5073748.84,      52.152691,       -0.707093,   76573.02,   92051.00,    5807.48,             5804.83,    -0.04,  23107.71,           24036.27,      9.01,     47.00,         107.23,  +0.61,  +0.79
  7,     UK002F,       0,  0.281908, 2459530.447415170260,  92.69586,  59.11439,               53.20199,  55.65851,        53.21794,       55.65181,     92.69586,     +59.11439,      92.70452,      +59.10391,  3377594.82,  2082153.04,  5073407.80,      52.156168,       -0.709026,   75836.86,   91506.78,    6650.08,             6647.42,  -102.98,  20924.78,           23713.82,      3.37,     17.60,          40.39,  +1.09,  +1.28
  8,     UK002F,       0,  0.322196, 2459530.447415636387,  93.50735,  59.27807,               52.72431,  55.30325,        52.74061,       55.29644,     93.50735,     +59.27807,      93.51617,      +59.26727,  3376956.43,  2081602.47,  5073034.65,      52.159973,       -0.711125,   75031.43,   90917.09,    7571.98,             7569.33,  -127.09,  22882.77,           23507.91,      3.44,     17.94,          41.44,  +2.16,  +2.37
  0,     UK003X,       0,  0.082608, 2459530.447412854526, 116.17903,  39.09935,               65.64917,  31.79452,        65.62741,       31.80630,    116.17903,     +39.09935,     116.18432,      +39.12089,  3380818.04,  2084932.92,  5075291.82,      52.136971,       -0.698454,   79903.73,  148999.55,       0.00,             1992.71,   -77.88,      0.00,           24355.09,      0.36,    -57.02,          78.94,  +3.38,  +2.51
  1,     UK003X,       0,  0.122912, 2459530.447413321119, 116.62793,  39.01990,               65.43579,  31.48660,        65.39958,       31.50617,    116.62793,     +39.01990,     116.63715,      +39.05577,  3380104.06,  2084317.14,  5074874.48,      52.141221,       -0.700777,   79002.84,  148545.80,    1031.08,             3023.78,     6.80,  25582.47,           24355.09,      0.61,    -94.77,         131.59,  +1.19,  +0.33
  2,     UK003X,       0,  0.163196, 2459530.447413787246, 117.03303,  38.92813,               65.25962,  31.19511,        65.19225,       31.23147,    117.03303,     +38.92813,     117.05063,      +38.99492,  3379454.70,  2083757.10,  5074494.92,      52.145088,       -0.702906,   78183.50,  148137.35,    1968.83,             3961.54,    -1.36,  23278.56,           24355.09,      1.17,   -176.13,         245.25,  +0.61,  -0.24
  3,     UK003X,       0,  0.203484, 2459530.447414253373, 117.47767,  38.88899,               65.01358,  30.91795,        64.97367,       30.93947,    117.47767,     +38.88899,     117.48864,      +38.92859,  3378769.46,  2083166.11,  5074094.39,      52.149169,       -0.705144,   77318.92,  147712.09,    2958.40,             4951.10,    42.19,  24562.32,           24355.09,      0.67,   -104.24,         145.57,  +0.88,  +0.03
  4,     UK003X,       0,  0.243748, 2459530.447414719500, 117.88152,  38.84752,               64.79480,  30.66248,        64.77526,       30.67300,    117.88152,     +38.84752,     117.88743,      +38.86693,  3378147.82,  2082629.98,  5073731.04,      52.152873,       -0.707191,   76534.59,  147330.16,    3856.11,             5848.82,    -5.55,  22295.72,           23928.33,      0.32,    -50.99,          71.39,  +1.42,  +0.58
  5,     UK003X,       0,  0.283980, 2459530.447415185161, 118.23322,  38.80936,               64.60573,  30.43884,        64.60270,       30.44047,    118.23322,     +38.80936,     118.23489,      +38.81238,  3377607.88,  2082164.31,  5073415.43,      52.156090,       -0.708992,   75853.33,  147000.89,    4635.86,             6628.56,  -170.50,  19381.27,           23157.68,      0.05,     -7.91,          11.10,  +2.30,  +1.46
  0,     UK004P,       0,  0.122435, 2459530.447413319722, 255.29629,  58.03631,              336.82475,  24.25602,       336.80340,       24.25493,    255.29629,     +58.03631,     255.32793,      +58.02619,  3380054.46,  2084274.36,  5074845.49,      52.141517,       -0.700926,   78940.26,  186565.53,       0.00,             3095.41,    89.64,      0.00,           22521.67,    -28.01,    -56.98,          70.19,  +1.67,  +0.32
  1,     UK004P,       0,  0.162659, 2459530.447413785383, 255.07659,  57.80046,              336.81653,  23.99299,       336.81593,       23.99296,    255.07659,     +57.80046,     255.07781,      +57.80018,  3379463.19,  2083764.42,  5074499.89,      52.145037,       -0.702880,   78194.22,  186619.07,     853.86,             3949.27,    -1.01,  21227.65,           22521.67,     -0.79,     -1.60,           1.97,  +0.92,  -0.43
  2,     UK004P,       0,  0.202899, 2459530.447414251044, 254.82365,  57.55874,              336.82428,  23.71610,       336.82930,       23.71636,    254.82365,     +57.55874,     254.81679,      +57.56110,  3378838.44,  2083225.61,  5074134.71,      52.148759,       -0.704935,   77405.94,  186679.64,    1756.08,             4851.49,   -43.68,  22420.92,           22521.67,      6.62,     13.46,          16.57,  +1.35,  -0.01
  3,     UK004P,       0,  0.243151, 2459530.447414716706, 254.58655,  57.29075,              336.81253,  23.41946,       336.84377,       23.42107,    254.58655,     +57.29075,     254.54151,      +57.30539,  3378170.91,  2082649.90,  5073744.53,      52.152735,       -0.707120,   76563.72,  186748.88,    2720.06,             5815.47,   -24.86,  23948.76,           22521.67,     41.29,     83.98,         103.36,  +2.18,  +0.82

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.