Orbital Analysis for matched events on 20211103_224251.137_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 59.04° Bg 56.30° Vg 34.47km/s
mass 0.16704g, abs. mag -0.7
best visual mag 1.0
Path Details
------------
start -0.07° 51.59° 104.53km
end   -0.07° 51.52° 84.35km

Orbit Details
-------------
Semimajor axis 29.73A.U., eccentricity 0.97, inclination 49.78°, Period 162.12Y, LA Sun 221.43°, last Perihelion 1859-10-22

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: 2459522.446425206028
Time: 2021-11-03 22:42:51.137801 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK0041
 Convergence angle = 64.84361 deg
 R.A. =  20.06062  Dec = +70.49871 deg

Best intersection: Stations UK002H and UK0041 with Qconv = 64.84 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3685383.26 +/- 137.98 m
 Y =   1644647.18 +/- 16.41 m
 Z =   5056531.93 +/- 27.44 m
 Vx =    10517.29 +/- 345.71 m/s
 Vy =     4012.98 +/- 56.33 m/s
 Vz =    34418.16 +/- 158.00 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.311730e+04, -7.853717e+02, +2.256309e+02, +2.442420e+04, -9.748468e+02, -6.160038e+03
-7.853717e+02, +2.500260e+02, +1.295337e+02, -1.712753e+03, +4.720407e+02, +3.763522e+02
+2.256309e+02, +1.295337e+02, +9.570558e+02, +1.750090e+03, -4.643485e+02, -1.186111e+02
+2.442420e+04, -1.712753e+03, +1.750090e+03, +7.430326e+04, -4.224625e+03, -1.555471e+04
-9.748468e+02, +4.720407e+02, -4.643485e+02, -4.224625e+03, +1.636214e+03, +6.436020e+02
-6.160038e+03, +3.763522e+02, -1.186111e+02, -1.555471e+04, +6.436020e+02, +3.954083e+03

Timing offsets (from input data):
    UK002H: 0.000911 s
    UK0041: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 22:42:51.137801 UTC
  Lon     = +-0.069133 +/- 0.0009 deg
  Lat     = +51.590500 +/- 0.0009 deg
  Lat geo = +51.406032 +/- 0.0009 deg
  Ht      =  104482.79 +/- 79.61 m

  JD dynamic   = 2459522.447225946933 
  LST apparent = 24.0493998071 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  20.88488 +/- 0.7462 deg
  Dec       = +71.88903 +/- 0.4937 deg
  Azimuth   = 357.17113 +/- 0.8149 deg
  Elevation = +69.65289 +/- 0.4671 deg
  Vavg      =  35.87636 +/- 0.0580 km/s
  Vinit     =  36.21225 +/- 0.0634 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  22.38230 +/- 0.7462 deg
  Dec       = +71.90769 +/- 0.4937 deg
  Azimuth   = 358.50994 +/- 0.8149 deg
  Elevation = +69.66934 +/- 0.4671 deg
  Vavg      =  35.87250 +/- 0.0580 km/s
  Vinit     =  36.20839 +/- 0.0634 km/s
Radiant (geocentric, J2000):
  R.A.   =  20.30499 +/- 0.7710 deg
  Dec    = +72.28448 +/- 0.5089 deg
  Vg     =  34.46893 +/- 0.0666 km/s
  Vinf   =  36.21225 +/- 0.0634 km/s
  Zc     =  20.53136 +/- 0.4673 deg
  Zg     =  21.04324 +/- 0.4807 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  59.04342 +/- 0.9198 deg
  Bg     = +56.30314 +/- 0.2310 deg
  Vh     =  41.93896 +/- 0.2310 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 349.01183 +/- 0.0796 deg
  Bh     = +43.14078 +/- 0.3436 deg
  Vh_x   = -30.04081 +/- 0.3377 km/s
  Vh_y   =   5.83290 +/- 0.0489 km/s
  Vh_z   = -28.67758 +/- 0.0477 km/s
Orbit:
  La Sun = 221.434487 +/- 0.0000 deg
  a      =  29.731815 +/- 194.0344 AU
  e      =   0.973334 +/- 0.0174
  i      =  49.778617 +/- 0.3202 deg
  peri   = 233.626467 +/- 0.1914 deg
  node   = 221.434113 +/- 0.0000 deg
  Pi     =  95.060580 +/- 0.1914 deg
  q      =   0.792817 +/- 0.0012 AU
  f      = 306.374224 +/- 0.1914 deg
  M      = 359.805661 +/- nan deg
  Q      =  58.670812 +/- 388.0687 AU
  n      =   0.006080 +/- 0.0046 deg/day
  T      = 162.118569 +/- nan years
  Last perihelion JD = 2400339.574327 (1859-10-22 01:47:01.865751) +/- 153266.7973 days
  Tj     =   0.883144 +/- 0.1066
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.610487e-04, -9.828394e-06, -1.540305e+03, -5.492838e-08, -1.002351e-03, -3.467843e-03
q   , -9.828394e-06, +1.333906e-06, +1.003672e+02, +3.822511e-09, -4.609555e-05, +2.408782e-04
Tp  , -1.540305e+03, +1.003672e+02, +2.506203e+10, +4.761600e-01, +8.505650e+03, +3.005802e+04
node, -5.492838e-08, +3.822511e-09, +4.761600e-01, +1.974590e-11, +2.740195e-07, +1.246387e-06
peri, -1.002351e-03, -4.609555e-05, +8.505650e+03, +2.740195e-07, +2.191624e-02, +1.736653e-02
i   , -3.467843e-03, +2.408782e-04, +3.005802e+04, +1.246387e-06, +1.736653e-02, +7.867514e-02

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: UK0041
  Avg. res. = 4.508e-06 s
  Stddev    = 2.12e-03 s

Begin point on the trajectory:
  Lon =    -0.069145 +/- 0.0009 deg
  Lat =    51.590657 +/- 0.0008 deg
  Ht  = 104530.76 +/- 83.07 m
End point on the trajectory:
  Lon =    -0.066423 +/- 0.0008 deg
  Lat =    51.524348 +/- 0.0008 deg
  Ht  = 84351.54 +/- 63.98 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.000000,   0.000000,   101580.45,    85178.54,          0.042796,    119.31,    168.94,              83.31, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20211103_224249_960_0498432.fits"}
    UK0041,   False,     1.214343,    52.647541,   45.00,   0.000000,   0.000000,   104530.76,    84351.54,          0.007545,     12.24,     19.90,              70.30, 1.0000,    True,    True, {"ff_name": "FF_UK0041_20211103_224251_243_0515328.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,     UK002H,       0,  0.090109, 2459522.446426164825,  58.65701,  -8.86851,              140.70285,  20.31517,       140.66080,       20.30718,     58.65701,      -8.86851,      58.69733,       -8.86081,  3684484.21,  1644304.13,  5053589.74,      51.580989,       -0.068724,  101580.45,  277557.72,       0.00,             3095.56,    55.74,      0.00,           36560.69,    159.38,   -112.20,         144.85,  +2.83,  +0.61
  1,     UK002H,       0,  0.170573, 2459522.446427096147,  58.83079,  -9.40343,              140.75183,  19.75531,       140.78276,       19.76119,     58.83079,      -9.40343,      58.80193,       -9.40913,  3683695.90,  1644003.35,  5051009.99,      51.572643,       -0.068399,   99035.71,  277296.29,    2714.23,             5809.78,  -143.82,  33732.19,           36560.69,   -117.44,     82.88,         106.92,  +2.04,  -0.17
  2,     UK002H,       0,  0.210881, 2459522.446427562740,  58.87353,  -9.75381,              140.85266,  19.41543,       140.85873,       19.41658,     58.87353,      -9.75381,      58.86856,       -9.75493,  3683199.37,  1643813.89,  5049385.07,      51.567382,       -0.068150,   97432.91,  277146.85,    4423.85,             7519.41,   106.17,  42414.06,           36560.69,    -23.10,     16.29,          21.04,  +2.45,  +0.24
  3,     UK002H,       0,  0.251117, 2459522.446428028401,  59.00859, -10.02725,              140.83315,  19.11189,       140.92228,       19.12883,     59.00859,     -10.02725,      58.92401,      -10.04377,  3682785.06,  1643655.80,  5048029.23,      51.562991,       -0.067971,   96095.54,  277029.07,    5850.36,             8945.92,    75.64,  35453.62,           36560.69,   -339.11,    239.75,         309.22,  +2.09,  -0.12
  4,     UK002H,       0,  0.291369, 2459522.446428494528,  58.99925, -10.31604,              140.95885,  18.84854,       140.98304,       18.85314,     58.99925,     -10.31604,      58.97715,      -10.32053,  3682388.42,  1643504.46,  5046731.21,      51.558785,       -0.067806,   94815.22,  276922.85,    7216.05,            10311.60,   -16.29,  33928.36,           36271.57,    -92.21,     65.04,          84.05,  +2.29,  +0.08
  5,     UK002H,       0,  0.331613, 2459522.446428960189,  59.08321, -10.59509,              140.99080,  18.55911,       141.04529,       18.56946,     59.08321,     -10.59509,      59.03197,      -10.60523,  3681980.66,  1643348.88,  5045396.80,      51.554460,       -0.067631,   93499.04,  276820.82,    8620.01,            11715.56,   -69.65,  34886.20,           36008.16,   -207.92,    146.81,         189.65,  +1.60,  -0.61
  6,     UK002H,       0,  0.371881, 2459522.446429426316,  59.16600, -10.90734,              141.03726,  18.23946,       141.11401,       18.25405,     59.16600,     -10.90734,      59.09324,      -10.92167,  3681527.73,  1643176.06,  5043914.59,      51.549653,       -0.067419,   92037.10,  276716.54,   10179.48,            13275.04,    31.63,  38727.38,           36143.57,   -293.22,    207.18,         267.62,  +1.30,  -0.91
  7,     UK002H,       0,  0.412145, 2459522.446429892443,  59.18983, -11.20908,              141.13570,  17.95164,       141.17806,       17.95969,     59.18983,     -11.20908,      59.15041,      -11.21701,  3681105.32,  1643014.88,  5042532.22,      51.545169,       -0.067232,   90673.66,  276626.71,   11633.91,            14729.47,    28.00,  36122.25,           36204.64,   -162.12,    114.41,         147.95,  +1.01,  -1.20
  8,     UK002H,       0,  0.452401, 2459522.446430358104,  59.21507, -11.50103,              141.22860,  17.67232,       141.23998,       17.67448,     59.21507,     -11.50103,      59.20585,      -11.50316,  3680696.29,  1642858.81,  5041193.66,      51.540824,       -0.067056,   89353.45,  276546.78,   13042.25,            16137.80,   -21.42,  34984.53,           36162.49,    -43.63,     30.75,          39.81,  +1.22,  -0.99
  9,     UK002H,       0,  0.492657, 2459522.446430824231,  59.28249, -11.79785,              141.28321,  17.37273,       141.30432,       17.37674,     59.28249,     -11.79785,      59.26393,      -11.80182,  3680269.59,  1642696.00,  5039797.28,      51.536290,       -0.066865,   87976.24,  276471.29,   14511.42,            17606.97,   -10.01,  36495.70,           36156.45,    -81.00,     57.11,          73.94,  +0.96,  -1.25
 10,     UK002H,       0,  0.532925, 2459522.446431290358,  59.32979, -12.10674,              141.36162,  17.06951,       141.37008,       17.07111,     59.32979,     -12.10674,      59.32371,      -12.10833,  3679831.87,  1642528.98,  5038364.83,      51.531637,       -0.066665,   86563.49,  276402.12,   16018.53,            19114.09,    38.91,  37427.12,           36206.54,    -32.50,     22.91,          29.67,  +0.96,  -1.25
 11,     UK002H,       0,  0.573181, 2459522.446431756020,  59.41050, -12.40309,              141.40338,  16.76546,       141.43441,       16.77135,     59.41050,     -12.40309,      59.38245,      -12.40895,  3679402.76,  1642365.25,  5036960.55,      51.527073,       -0.066472,   85178.54,  276342.15,   17496.01,            20591.57,    58.63,  36702.14,           36254.19,   -119.36,     84.17,         109.01,  +1.62,  -0.59
  0,     UK0041,       0,  0.000000, 2459522.446425206028, 355.36522,   3.05707,              217.27730,  34.55858,       217.28757,       34.55656,    355.36522,      +3.05707,     355.35660,       +3.05831,  3685398.12,  1644652.85,  5056580.56,      51.590657,       -0.069145,  104530.76,  181181.84,       0.00,               51.16,   274.38,      0.00,           34148.29,    -23.43,    -14.40,          31.31,  +3.27,  +1.98
  1,     UK0041,       0,  0.040328, 2459522.446425672621, 355.29408,   2.68886,              217.19338,  34.19003,       217.18617,       34.19145,    355.29408,      +2.68886,     355.30032,       +2.68799,  3685034.95,  1644514.27,  5055392.06,      51.586816,       -0.069009,  103358.34,  180777.71,    1250.45,             1199.29,   -37.86,  31007.01,           34148.29,     16.46,     10.12,          22.04,  +2.66,  +1.37
  2,     UK0041,       0,  0.080684, 2459522.446426139679, 355.23335,   2.27945,              217.08042,  33.78689,       217.07477,       33.78800,    355.23335,      +2.27945,     355.23847,       +2.27876,  3684635.47,  1644361.85,  5054084.76,      51.582590,       -0.068842,  102068.74,  180341.58,    2625.90,             2574.74,  -123.79,  34082.87,           34148.29,     12.94,      7.96,          17.37,  +2.16,  +0.88
  3,     UK0041,       0,  0.121080, 2459522.446426607203, 355.17243,   1.82704,              216.94999,  33.34352,       216.95275,       33.34298,    355.17243,      +1.82704,     355.17059,       +1.82737,  3684197.03,  1644194.56,  5052649.96,      51.577949,       -0.068643,  100653.41,  179873.24,    4135.48,             4084.32,   -77.04,  37369.65,           34148.29,     -6.33,     -3.89,           8.53,  +2.00,  +0.73
  4,     UK0041,       0,  0.161496, 2459522.446427075192, 355.10331,   1.34963,              216.81917,  32.87375,       216.82496,       32.87261,    355.10331,      +1.34963,     355.09905,       +1.35033,  3683736.12,  1644018.69,  5051141.61,      51.573069,       -0.068425,   99165.56,  179392.96,    5722.46,             5671.30,    46.39,  39266.03,           35493.43,    -13.30,     -8.18,          17.96,  +1.92,  +0.65
  5,     UK0041,       0,  0.201840, 2459522.446427542251, 355.04388,   0.95481,              216.71456,  32.48432,       216.72087,       32.48308,    355.04388,      +0.95481,     355.03932,       +0.95559,  3683356.56,  1643873.87,  5049899.50,      51.569048,       -0.068275,   97940.33,  179008.05,    7029.31,             6978.15,  -107.71,  32392.82,           35434.72,    -14.54,     -8.94,          19.66,  +1.97,  +0.71
  6,     UK0041,       0,  0.242256, 2459522.446428009775, 354.96367,   0.47940,              216.59932,  32.01214,       216.59565,       32.01286,    354.96367,      +0.47940,     354.96785,       +0.47895,  3682900.40,  1643699.81,  5048406.68,      51.564214,       -0.068061,   96467.84,  178555.84,    8599.96,             8548.80,    -0.62,  38861.94,           35781.36,      8.49,      5.23,          11.52,  +1.64,  +0.38
  7,     UK0041,       0,  0.282648, 2459522.446428477298, 354.89576,   0.03359,              216.48435,  31.57190,       216.47991,       31.57277,    354.89576,      +0.03359,     354.90078,       +0.03303,  3682475.69,  1643537.76,  5047016.83,      51.559711,       -0.067873,   95096.94,  178146.62,   10062.26,            10011.10,    -1.00,  36202.62,           35960.86,     10.28,      6.33,          13.98,  +1.56,  +0.31
  8,     UK0041,       0,  0.323036, 2459522.446428944822, 354.84085,  -0.41662,              216.35444,  31.13213,       216.36462,       31.13013,    354.84085,      -0.41662,     354.83335,       -0.41536,  3682050.56,  1643375.55,  5045625.57,      51.555202,       -0.067684,   93724.68,  177748.08,   11526.04,            11474.88,     0.24,  36242.99,           36063.42,    -23.62,    -14.53,          32.19,  +1.42,  +0.17
  9,     UK0041,       0,  0.363436, 2459522.446429412346, 354.75774,  -0.87204,              216.25415,  30.67726,       216.24805,       30.67846,    354.75774,      -0.87204,     354.76459,       -0.87281,  3681618.77,  1643210.79,  5044212.51,      51.550620,       -0.067490,   92330.94,  177354.64,   13012.75,            12961.59,    23.97,  36799.81,           36155.82,     14.19,      8.74,          19.38,  +1.25,  +0.01
 10,     UK0041,       0,  0.403836, 2459522.446429879870, 354.68753,  -1.32726,              216.14092,  30.22713,       216.13309,       30.22867,    354.68753,      -1.32726,     354.69609,       -1.32824,  3681190.74,  1643047.48,  5042811.78,      51.546076,       -0.067299,   90949.39,  176976.14,   14486.49,            14435.33,    34.74,  36478.82,           36220.90,     18.24,     11.23,          24.97,  +1.41,  +0.17
 11,     UK0041,       0,  0.444216, 2459522.446430347394, 354.63833,  -1.76787,              216.01212,  29.79804,       216.02364,       29.79578,    354.63833,      -1.76787,     354.63003,       -1.76641,  3680780.63,  1642891.00,  5041469.69,      51.541720,       -0.067123,   89625.69,  176624.49,   15898.55,            15847.39,   -15.45,  34969.12,           36210.30,    -26.92,    -16.57,          36.92,  +1.26,  +0.02
 12,     UK0041,       0,  0.484608, 2459522.446430814918, 354.57862,  -2.22258,              215.88987,  29.35193,       215.91125,       29.34773,    354.57862,      -2.22258,     354.56173,       -2.21987,  3680357.90,  1642729.70,  5040086.29,      51.537229,       -0.066936,   88261.27,  176272.94,   17354.06,            17302.90,   -22.63,  36034.65,           36198.10,    -50.05,    -30.80,          68.77,  +1.17,  -0.06
 13,     UK0041,       0,  0.525016, 2459522.446431282442, 354.48483,  -2.68370,              215.80241,  28.88762,       215.79706,       28.88868,    354.48483,      -2.68370,     354.49178,       -2.68438,  3679926.57,  1642565.12,  5038674.75,      51.532644,       -0.066742,   86869.14,  175925.80,   18839.17,            18788.01,    -0.78,  36752.96,           36206.29,     12.56,      7.73,          17.29,  +1.28,  +0.05
 14,     UK0041,       0,  0.565448, 2459522.446431750432, 354.40974,  -3.18281,              215.68048,  28.39438,       215.67524,       28.39541,    354.40974,      -3.18281,     354.41679,       -3.18348,  3679464.98,  1642388.99,  5037164.18,      51.527735,       -0.066523,   85379.38,  175567.05,   20428.48,            20377.32,   124.40,  39308.23,           36289.26,     12.33,      7.60,          17.01,  +1.45,  +0.23
 15,     UK0041,       0,  0.605748, 2459522.446432217024, 354.36532,  -3.52952,              215.58821,  28.05443,       215.59268,       28.05356,    354.36532,      -3.52952,     354.36385,       -3.52895,  3679146.53,  1642267.49,  5036122.05,      51.524348,       -0.066423,   84351.54,  175329.28,   21524.94,            21473.78,  -238.50,  27207.38,           36144.89,    -10.52,     -6.48,          14.53,  +3.14,  +1.92

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.