Orbital Analysis for matched events on 20211103_210032.038_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 113.28° Bg 36.62° Vg 59.99km/s
mass 0.10141g, abs. mag -1.0
best visual mag -0.2
Path Details
------------
start -3.47° 51.79° 112.40km
end   -3.72° 51.49° 93.66km

Orbit Details
-------------
Semimajor axis 37.09A.U., eccentricity 0.98, inclination 113.73°, Period 225.89Y, LA Sun 221.36°, last Perihelion 1796-01-06

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: 2459522.375370817259
Time: 2021-11-03 21:00:32.038611 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003Z
 Convergence angle = 9.20273 deg
 R.A. = 125.55022  Dec = +57.66022 deg

Best intersection: Stations UK0024 and UK003Z with Qconv = 9.20 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4007696.76 +/- 20.17 m
 Y =   -350949.09 +/- 209.39 m
 Z =   5076650.03 +/- 243.10 m
 Vx =   -19052.52 +/- 46.99 m/s
 Vy =    26524.87 +/- 538.64 m/s
 Vz =    51531.56 +/- 362.15 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.331769e+02, +1.527002e+03, -2.024880e+03, +4.665322e+02, +2.454373e+03, -1.401274e+03
+1.527002e+03, +4.070114e+04, -4.643369e+04, -9.738949e+03, +8.781720e+04, -4.709177e+04
-2.024880e+03, -4.643369e+04, +5.482003e+04, +1.149977e+04, -1.023814e+05, +5.579022e+04
+4.665322e+02, -9.738949e+03, +1.149977e+04, +7.647273e+03, -3.487706e+04, +1.528297e+04
+2.454373e+03, +8.781720e+04, -1.023814e+05, -3.487706e+04, +2.421108e+05, -1.224332e+05
-1.401274e+03, -4.709177e+04, +5.579022e+04, +1.528297e+04, -1.224332e+05, +7.182049e+04

Timing offsets (from input data):
    UK0024: 0.002212 s
    UK003Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 21:00:32.038611 UTC
  Lon     = +-3.473474 +/- 0.0030 deg
  Lat     = +51.788586 +/- 0.0013 deg
  Lat geo = +51.604643 +/- 0.0013 deg
  Ht      =  112406.92 +/- 197.18 m

  JD dynamic   = 2459522.376171558164 
  LST apparent = 354.9954449229 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 125.68927 +/- 0.4177 deg
  Dec       = +57.63535 +/- 0.4945 deg
  Azimuth   =  26.99558 +/- 0.5026 deg
  Elevation = +26.60133 +/- 0.3061 deg
  Vavg      =  59.04659 +/- 0.3062 km/s
  Vinit     =  61.00876 +/- 0.0926 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 125.35596 +/- 0.4177 deg
  Dec       = +57.45881 +/- 0.4945 deg
  Azimuth   =  27.26946 +/- 0.5026 deg
  Elevation = +26.54518 +/- 0.3061 deg
  Vavg      =  59.16625 +/- 0.3062 km/s
  Vinit     =  61.12842 +/- 0.0926 km/s
Radiant (geocentric, J2000):
  R.A.   = 125.83532 +/- 0.4322 deg
  Dec    = +57.19798 +/- 0.5026 deg
  Vg     =  59.99166 +/- 0.0942 km/s
  Vinf   =  61.00876 +/- 0.0926 km/s
  Zc     =  63.56260 +/- 0.3067 deg
  Zg     =  64.15939 +/- 0.3099 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 113.27646 +/- 0.1106 deg
  Bg     = +36.62026 +/- 0.5480 deg
  Vh     =  42.00924 +/- 0.2097 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  87.00726 +/- 0.2698 deg
  Bh     = +58.41333 +/- 0.7392 deg
  Vh_x   =  -1.14881 +/- 0.0882 km/s
  Vh_y   = -21.97391 +/- 0.3647 km/s
  Vh_z   = -35.78552 +/- 0.4527 km/s
Orbit:
  La Sun = 221.363283 +/- -0.0000 deg
  a      =  37.091064 +/- 12.7890 AU
  e      =   0.976885 +/- 0.0166
  i      = 113.732727 +/- 0.6948 deg
  peri   = 223.495283 +/- 1.1860 deg
  node   = 221.362846 +/- 0.0000 deg
  Pi     =  84.858129 +/- 1.1860 deg
  q      =   0.857345 +/- 0.0058 AU
  f      = 316.504952 +/- 1.1860 deg
  M      = 359.879842 +/- 0.1874 deg
  Q      =  73.324783 +/- 25.5727 AU
  n      =   0.004363 +/- 0.0064 deg/day
  T      = 225.893939 +/- 105.4194 years
  Last perihelion JD = 2377040.716965 (1796-01-06 05:12:25.768489) +/- 38505.7453 days
  Tj     =  -0.319049 +/- 0.0953
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.654281e-04, +8.813346e-05, -6.001085e+02, -4.428479e-08, -1.818472e-02, -9.611620e-03
q   , +8.813346e-05, +3.234827e-05, -2.018946e+02, -1.690996e-08, -6.564771e-03, -3.676950e-03
Tp  , -6.001085e+02, -2.018946e+02, +1.581423e+09, +1.011110e-01, +4.155177e+04, +2.201058e+04
node, -4.428479e-08, -1.690996e-08, +1.011110e-01, +9.534672e-12, +3.410942e-06, +2.078060e-06
peri, -1.818472e-02, -6.564771e-03, +4.155177e+04, +3.410942e-06, +1.335791e+00, +7.414666e-01
i   , -9.611620e-03, -3.676950e-03, +2.201058e+04, +2.078060e-06, +7.414666e-01, +4.529889e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.109880
 a2 = 8.086597

Mean time residuals from time vs. length:
  Station with reference time: UK003Z
  Avg. res. = 2.239e-06 s
  Stddev    = 1.50e-03 s

Begin point on the trajectory:
  Lon =    -3.473595 +/- 0.0030 deg
  Lat =    51.788439 +/- 0.0012 deg
  Ht  = 112397.55 +/- 194.17 m
End point on the trajectory:
  Lon =    -3.718944 +/- 0.0014 deg
  Lat =    51.491177 +/- 0.0011 deg
  Ht  = 93659.17 +/- 152.37 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
    UK0024,   False,    -2.949770,    50.877440,   82.00,   2.150257,   8.663498,   104099.14,    93659.17,          0.015000,     29.07,     20.38,              42.35, 1.0000,   False,    True, {"ff_name": "FF_UK0024_20211103_210023_987_0334080.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   4.538319,   7.460541,   112397.55,    94092.58,          0.008604,     20.12,     19.57,              70.20, 1.0000,    True,    True, {"ff_name": "FF_UK003Z_20211103_210028_465_0343040.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,     UK0024,       0,  0.306072, 2459522.375374345575, 261.13793,  71.83066,              333.29308,  46.22692,       333.29257,       46.22376,    261.13793,     +71.83066,     261.13048,      +71.82903,  4013505.37,  -359035.82,  5060939.42,      51.657488,       -3.582089,  104099.14,  143015.71,       0.00,            18599.95,     0.26,      0.00,           60430.92,      4.54,     -6.49,          11.42,  +0.20,  -0.58
  1,     UK0024,       0,  0.346424, 2459522.375374812633, 262.27911,  71.19994,              332.24611,  46.29572,       332.24641,       46.29781,    262.27911,     +71.19994,     262.28622,      +71.20099,  4014268.57,  -360098.35,  5058875.17,      51.640231,       -3.596336,  103010.67,  141360.08,    2443.89,            21043.84,   -17.68,  60564.35,           60430.92,     -2.98,      4.25,           7.58,  +0.20,  -0.55
  2,     UK0024,       0,  0.386788, 2459522.375375279691, 263.37543,  70.54134,              331.16309,  46.35445,       331.16429,       46.36420,    263.37543,     +70.54134,     263.40278,      +70.54605,  4015037.86,  -361169.35,  5056794.48,      51.622828,       -3.610689,  101914.26,  139714.80,    4907.24,            23507.19,   -16.88,  61028.43,           60430.92,    -13.69,     19.55,          35.23,  +0.13,  -0.60
  3,     UK0024,       0,  0.427148, 2459522.375375746749, 264.42763,  69.88305,              330.08146,  46.41351,       330.08214,       46.42019,    264.42763,     +69.88305,     264.44662,      +69.88617,  4015787.81,  -362213.43,  5054766.07,      51.605855,       -3.624679,  100846.11,  138134.55,    7308.69,            25908.64,   -77.74,  59500.75,           60430.92,     -9.25,     13.22,          24.09,  -0.02,  -0.72
  4,     UK0024,       0,  0.467544, 2459522.375376214273, 265.37075,  69.18543,              328.96248,  46.43434,       328.96516,       46.46718,    265.37075,     +69.18543,     265.45528,      +69.20031,  4016543.07,  -363264.90,  5052723.31,      51.588755,       -3.638762,   99771.11,  136567.46,    9727.14,            28327.09,  -123.81,  59868.39,           60245.21,    -45.01,     64.20,         118.41,  -0.16,  -0.84
  5,     UK0024,       0,  0.507904, 2459522.375376681797, 266.29375,  68.51847,              327.88180,  46.47147,       327.88370,       46.50214,    266.29375,     +68.51847,     266.37122,      +68.53195,  4017256.99,  -364258.82,  5050792.36,      51.572584,       -3.652078,   98755.58,  135109.61,   12013.22,            30613.17,  -300.04,  56642.28,           59677.56,    -41.56,     59.28,         110.52,  -0.02,  -0.67
  6,     UK0024,       0,  0.548264, 2459522.375377148855, 267.25922,  67.83141,              326.75846,  46.52535,       326.75855,       46.52769,    267.25922,     +67.83141,     267.26714,      +67.83240,  4017983.16,  -365269.79,  5048828.30,      51.556129,       -3.665613,   97723.29,  133650.66,   14338.49,            32938.44,  -437.09,  57613.24,           59253.72,     -3.14,      4.49,           8.45,  +0.20,  -0.43
  7,     UK0024,       0,  0.588700, 2459522.375377616845, 268.17260,  67.03643,              325.49569,  46.52837,       325.49597,       46.54342,    268.17260,     +67.03643,     268.21022,      +67.04263,  4018779.50,  -366378.45,  5046674.42,      51.538075,       -3.680435,   96592.01,  132079.01,   16888.49,            35488.44,  -354.04,  63062.63,           59395.08,    -19.91,     28.42,          54.20,  +0.21,  -0.39
  8,     UK0024,       0,  0.629112, 2459522.375378084369, 269.08659,  66.26086,              324.25163,  46.54891,       324.25164,       46.54524,    269.08659,     +66.26086,     269.08084,      +66.25939,  4019546.00,  -367445.58,  5044601.25,      51.520691,       -3.694701,   95503.86,  130595.76,   19342.93,            37942.88,  -365.08,  60735.49,           59550.48,      4.80,     -6.86,          13.23,  +0.67,  +0.09
  9,     UK0024,       0,  0.669520, 2459522.375378552359, 269.85950,  65.51069,              323.06846,  46.53553,       323.06849,       46.53429,    269.85950,     +65.51069,     269.85955,      +65.51021,  4020259.04,  -368438.26,  5042672.70,      51.504512,       -3.707979,   94492.25,  129243.04,   21626.17,            40226.12,  -547.09,  56504.47,           59463.27,      1.60,     -2.28,           4.45,  +1.43,  +0.87
 10,     UK0024,       0,  0.709864, 2459522.375379018951, 270.46129,  64.87476,              322.07485,  46.50830,       322.07454,       46.51526,    270.46129,     +64.87476,     270.47941,      +64.87739,  4020846.53,  -369256.17,  5041083.69,      51.491177,       -3.718944,   93659.17,  128149.28,   23507.42,            42107.37, -1127.18,  46630.23,           58832.94,     -8.93,     12.75,          25.05,  +2.84,  +2.30
  0,     UK003Z,       0,  0.000000, 2459522.375370817259, 266.75581,  47.83136,              304.82389,  35.13808,       304.81880,       35.15037,    266.75581,     +47.83136,     266.77385,      +47.83602,  4007703.29,  -350958.18,  5076632.36,      51.788439,       -3.473595,  112397.55,  191837.34,       0.00,               20.92,    94.32,      0.00,           60216.71,    -30.29,     31.13,          46.70,  +2.90,  +1.49
  1,     UK003Z,       0,  0.040388, 2459522.375371284783, 267.13311,  47.17566,              304.00946,  34.91421,       304.00646,       34.92128,    267.13311,     +47.17566,     267.14358,      +47.17831,  4008481.30,  -352041.32,  5074528.08,      51.770905,       -3.488161,  111282.39,  190996.45,    2491.29,             2512.20,   121.58,  61683.79,           60216.71,    -17.40,     17.88,          26.95,  +2.41,  +1.00
  2,     UK003Z,       0,  0.080768, 2459522.375371751841, 267.48541,  46.52760,              303.21626,  34.68232,       303.21256,       34.69086,    267.48541,     +46.52760,     267.49809,      +46.53078,  4009239.36,  -353096.69,  5072477.74,      51.753813,       -3.502352,  110196.54,  190205.25,    4918.70,             4939.61,    85.46,  60114.27,           60216.71,    -20.99,     21.57,          32.63,  +2.04,  +0.64
  3,     UK003Z,       0,  0.121140, 2459522.375372219365, 267.82842,  45.88753,              302.43643,  34.45065,       302.43304,       34.45830,    267.82842,     +45.88753,     267.83990,      +45.89035,  4009981.78,  -354130.29,  5070469.71,      51.737066,       -3.516248,  109133.78,  189457.61,    7296.02,             7316.94,    -0.26,  58885.48,           60216.71,    -18.79,     19.31,          29.33,  +1.51,  +0.12
  4,     UK003Z,       0,  0.161520, 2459522.375372686889, 268.21269,  45.21724,              301.60695,  34.22139,       301.61343,       34.20707,    268.21269,     +45.21724,     268.19296,      +45.21202,  4010760.81,  -355214.86,  5068362.64,      51.719486,       -3.530815,  108019.34,  188701.84,    9790.60,             9811.52,    30.79,  61777.61,           60392.37,     35.11,    -36.11,          55.05,  +1.26,  -0.12
  5,     UK003Z,       0,  0.201900, 2459522.375373153947, 268.51620,  44.57058,              300.84501,  33.96400,       300.84457,       33.96496,    268.51620,     +44.57058,     268.51839,      +44.57093,  4011490.22,  -356230.33,  5066389.83,      51.703019,       -3.544459,  106976.58,  188022.10,   12126.25,            12147.16,   -97.11,  57841.54,           60078.15,     -2.33,      2.39,           3.66,  +1.03,  -0.34
  6,     UK003Z,       0,  0.242296, 2459522.375373621471, 268.87959,  43.86895,              300.00072,  33.70271,       300.00501,       33.69361,    268.87959,     +43.86895,     268.86781,      +43.86569,  4012285.76,  -357337.89,  5064238.10,      51.685051,       -3.559319,  105840.02,  187310.49,   14673.70,            14694.61,   -14.16,  63061.99,           60285.77,     22.29,    -22.92,          35.20,  +0.80,  -0.56
  7,     UK003Z,       0,  0.282712, 2459522.375374089461, 269.21066,  43.15315,              299.16355,  33.41404,       299.16349,       33.41416,    269.21066,     +43.15315,     269.21202,      +43.15319,  4013082.36,  -358446.91,  5062083.53,      51.667050,       -3.574191,  104702.74,  186630.19,   17224.52,            17245.43,    70.93,  63114.12,           60608.19,     -0.31,      0.32,           0.49,  +0.57,  -0.78
  8,     UK003Z,       0,  0.323100, 2459522.375374556985, 269.52074,  42.47210,              298.37173,  33.13598,       298.36824,       33.14309,    269.52074,     +42.47210,     269.53195,      +42.47461,  4013834.63,  -359494.21,  5060048.87,      51.650044,       -3.588240,  103629.47,  186018.17,   19633.37,            19654.28,    15.75,  59642.69,           60694.23,    -17.41,     17.89,          27.68,  +0.53,  -0.82
  9,     UK003Z,       0,  0.363492, 2459522.375375024509, 269.85354,  41.77311,              297.55237,  32.85797,       297.55236,       32.85799,    269.85354,     +41.77311,     269.85508,      +41.77311,  4014606.32,  -360568.56,  5057961.66,      51.632591,       -3.602641,  102529.22,  185420.67,   22104.44,            22125.35,    22.56,  61177.24,           60764.38,     -0.04,      0.04,           0.07,  +0.38,  -0.96
 10,     UK003Z,       0,  0.403860, 2459522.375375491567, 270.17136,  41.10528,              296.77123,  32.59168,       296.77699,       32.58033,    270.17136,     +41.10528,     270.15752,      +41.10134,  4015339.77,  -361589.67,  5055977.89,      51.615996,       -3.616330,  101484.16,  184882.15,   24453.05,            24473.96,   -91.63,  58179.97,           60685.22,     27.77,    -28.55,          44.43,  +0.27,  -1.06
 11,     UK003Z,       0,  0.444256, 2459522.375375959091, 270.47417,  40.39922,              295.96710,  32.29070,       295.97027,       32.28457,    270.47417,     +40.39922,     270.46770,      +40.39711,  4016103.43,  -362652.83,  5053912.43,      51.598710,       -3.630571,  100396.79,  184351.35,   26898.37,            26919.29,  -110.82,  60533.84,           60633.73,     15.01,    -15.43,          24.08,  +0.12,  -1.21
 12,     UK003Z,       0,  0.484648, 2459522.375376426615, 270.75710,  39.70342,              295.18625,  31.98433,       295.18364,       31.98930,    270.75710,     +39.70342,     270.76585,      +39.70512,  4016848.75,  -363690.47,  5051896.53,      51.581832,       -3.644468,   99336.21,  183863.50,   29285.01,            29305.93,  -188.45,  59086.96,           60551.61,    -12.19,     12.52,          19.60,  +0.09,  -1.23
 13,     UK003Z,       0,  0.525020, 2459522.375376893673, 271.06346,  39.01346,              294.39836,  31.69428,       294.40124,       31.68887,    271.06346,     +39.01346,     271.05839,      +39.01163,  4017591.07,  -364723.93,  5049888.77,      51.565014,       -3.658305,   98280.59,  183407.36,   31662.03,            31682.94,  -274.48,  58877.78,           60452.19,     13.25,    -13.62,          21.37,  +0.31,  -1.01
 14,     UK003Z,       0,  0.565400, 2459522.375377361197, 271.35638,  38.31888,              293.61679,  31.39248,       293.62197,       31.38292,    271.35638,     +38.31888,     271.34596,      +38.31565,  4018331.71,  -365755.04,  5047885.57,      51.548228,       -3.672104,   97228.05,  182982.05,   34033.63,            34054.54,  -366.41,  58732.14,           60344.57,     23.48,    -24.13,          37.95,  +0.45,  -0.86
 15,     UK003Z,       0,  0.605784, 2459522.375377828721, 271.64742,  37.60890,              292.82539,  31.07810,       292.83210,       31.06592,    271.64742,     +37.60890,     271.63376,      +37.60481,  4019084.03,  -366802.42,  5045850.74,      51.531169,       -3.686113,   96159.59,  182580.53,   36442.68,            36463.60,  -421.13,  59653.64,           60257.32,     29.91,    -30.75,          48.46,  +0.70,  -0.61
 16,     UK003Z,       0,  0.646152, 2459522.375378295779, 271.89598,  36.93892,              292.09734,  30.76521,       292.09757,       30.76480,    271.89598,     +36.93892,     271.89814,      +36.93879,  4019785.23,  -367778.63,  5043954.20,      51.515264,       -3.699176,   95164.36,  182234.92,   38688.02,            38708.94,  -638.59,  55621.82,           60106.60,      1.00,     -1.03,           1.62,  +1.33,  +0.03
 17,     UK003Z,       0,  0.686540, 2459522.375378763303, 272.17147,  36.21670,              291.31035,  30.43106,       291.30834,       30.43460,    272.17147,     +36.21670,     272.17899,      +36.21788,  4020540.86,  -368830.61,  5041910.45,      51.498116,       -3.713235,   94092.58,  181892.18,   41107.64,            41128.55,  -683.00,  59909.17,           59997.36,     -8.71,      8.95,          14.16,  +3.05,  +1.75

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.