Orbital Analysis for matched events on 20211103_015233.744_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 100.38° Bg 4.01° Vg 62.36km/s
mass 0.01342g, abs. mag 0.2
best visual mag 0.7
Path Details
------------
start -4.32° 50.33° 107.82km
end   -4.41° 50.36° 97.33km

Orbit Details
-------------
Semimajor axis 4.44A.U., eccentricity 0.92, inclination 169.60°, Period 9.36Y, LA Sun 220.56°, last Perihelion 2012-08-01

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: 2459521.578168340493
Time: 2021-11-03 01:52:33.744619 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001K and UK0024
 Convergence angle = 26.68352 deg
 R.A. = 101.82181  Dec = +26.79536 deg

Best intersection: Stations UK001K and UK0024 with Qconv = 26.68 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1662627.49 +/- 57.92 m
 Y =   3800528.75 +/- 54.06 m
 Z =   4969530.80 +/- 23.52 m
 Vx =   -11496.32 +/- 469.88 m/s
 Vy =    55141.76 +/- 290.24 m/s
 Vz =    28974.02 +/- 219.06 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.587443e+03, +2.977303e+03, +8.013316e+02, +2.605756e+04, +1.486443e+04, +1.814049e+03
+2.977303e+03, +3.106501e+03, +6.167318e+02, +2.523477e+04, +1.512281e+04, +9.246733e+00
+8.013316e+02, +6.167318e+02, +5.871003e+02, +5.895668e+03, +2.319636e+03, +2.845903e+03
+2.605756e+04, +2.523477e+04, +5.895668e+03, +2.373237e+05, +1.373093e+05, +9.361286e+03
+1.486443e+04, +1.512281e+04, +2.319636e+03, +1.373093e+05, +8.339106e+04, -3.262784e+03
+1.814049e+03, +9.246733e+00, +2.845903e+03, +9.361286e+03, -3.262784e+03, +2.004423e+04

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK001K: -0.000059 s
    UK0021: 0.000000 s
    UK0024: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 01:52:33.744619 UTC
  Lon     = +-4.318343 +/- 0.0005 deg
  Lat     = +50.332767 +/- 0.0004 deg
  Lat geo = +50.146703 +/- 0.0004 deg
  Ht      =  107814.03 +/- 56.72 m

  JD dynamic   = 2459521.578969081398 
  LST apparent = 66.3719361717 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 101.77671 +/- 0.5228 deg
  Dec       = +27.22064 +/- 0.1437 deg
  Azimuth   = 117.30379 +/- 0.7080 deg
  Elevation = +54.56476 +/- 0.2660 deg
  Vavg      =  62.74052 +/- 0.2472 km/s
  Vinit     =  63.34250 +/- 0.1692 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 102.02672 +/- 0.5228 deg
  Dec       = +27.14809 +/- 0.1437 deg
  Azimuth   = 117.08888 +/- 0.7080 deg
  Elevation = +54.36695 +/- 0.2660 deg
  Vavg      =  62.89689 +/- 0.2472 km/s
  Vinit     =  63.49887 +/- 0.1692 km/s
Radiant (geocentric, J2000):
  R.A.   = 101.64116 +/- 0.5268 deg
  Dec    = +27.02712 +/- 0.1445 deg
  Vg     =  62.36285 +/- 0.1718 km/s
  Vinf   =  63.34250 +/- 0.1692 km/s
  Zc     =  35.35023 +/- 0.2676 deg
  Zg     =  35.63481 +/- 0.2714 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 100.38059 +/- 0.4660 deg
  Bg     =  +4.00792 +/- 0.1619 deg
  Vh     =  39.85732 +/- 0.3528 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  77.38760 +/- 0.5668 deg
  Bh     =  +6.27865 +/- 0.2724 deg
  Vh_x   =  -8.65082 +/- 0.4713 km/s
  Vh_y   = -38.66224 +/- 0.2600 km/s
  Vh_z   =  -4.35895 +/- 0.1709 km/s
Orbit:
  La Sun = 220.564587 +/- 0.0000 deg
  a      =   4.441909 +/- 1.1934 AU
  e      =   0.924348 +/- 0.0114
  i      = 169.596405 +/- 0.3820 deg
  peri   = 292.135399 +/- 0.1746 deg
  node   = 220.570616 +/- 0.0002 deg
  Pi     = 152.706015 +/- 0.1748 deg
  q      =   0.336039 +/- 0.0053 AU
  f      = 247.869535 +/- 0.1744 deg
  M      = 355.881028 +/- 0.7977 deg
  Q      =   8.547780 +/- 2.3916 AU
  n      =   0.105281 +/- 0.0199 deg/day
  T      =   9.361710 +/- 4.5757 years
  Last perihelion JD = 2456141.278600 (2012-08-01 18:41:11.040027) +/- 1671.7161 days
  Tj     =   0.478223 +/- 0.1640
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.373796e-04, -6.322190e-05, -1.878772e+01, +1.067061e-06, +1.702564e-03, +1.935679e-03
q   , -6.322190e-05, +2.980462e-05, +8.442519e+00, -6.508686e-07, -8.745786e-04, -1.177701e-03
Tp  , -1.878772e+01, +8.442519e+00, +2.899686e+06, -1.059050e-01, -2.084082e+02, -1.943393e+02
node, +1.067061e-06, -6.508686e-07, -1.059050e-01, +4.907073e-08, +3.376847e-05, +8.810270e-05
peri, +1.702564e-03, -8.745786e-04, -2.084082e+02, +3.376847e-05, +3.279011e-02, +6.088513e-02
i   , +1.935679e-03, -1.177701e-03, -1.943393e+02, +8.810270e-05, +6.088513e-02, +1.585518e-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: UK0024
  Avg. res. = 5.592e-06 s
  Stddev    = 2.36e-03 s

Begin point on the trajectory:
  Lon =    -4.318258 +/- 0.0006 deg
  Lat =    50.332739 +/- 0.0004 deg
  Ht  = 107823.67 +/- 43.18 m
End point on the trajectory:
  Lon =    -4.410988 +/- 0.0004 deg
  Lat =    50.363038 +/- 0.0003 deg
  Ht  = 97331.85 +/- 41.46 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
    UK000T,    True,    -3.557111,    51.483925,   37.50, 1318.587711,   8.490359,   115085.40,   103623.26,          2.878541,       nan,       nan,              56.46, 0.0000,    True,    True, {"ff_name": "FF_UK000T_20211103_015229_548_0753152.fits"}
    UK001K,   False,    -3.557111,    51.483925,   37.50,   0.000000,   0.000000,   107645.53,    97331.85,          0.009511,     12.82,     26.16,              56.46, 1.0000,    True,    True, {"ff_name": "FF_UK001K_20211103_015233_486_0758784.fits"}
    UK0021,    True,    -3.515726,    50.691998,   17.00,   0.000000,  94.010567,   104418.77,    96710.16,          0.066341,       nan,       nan,              56.83, 0.0000,   False,    True, {"ff_name": "FF_UK0021_20211103_015227_315_0764416.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   107823.67,    97374.33,          0.015949,     34.77,     26.32,              68.99, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20211103_015233_453_0770048.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,     UK000T,       1,  0.055356, 2459521.578168981243,  49.53841,   4.36813,              203.40815,  40.65260,       200.90850,       38.66635,     49.53841,      +4.36813,      50.94387,       +1.98513,  1661008.23,  3808295.49,  4973611.81,      50.311797,       -4.255188,  115085.40,  181660.12,       0.00,             8921.82,  5509.85,      0.00,           56538.62,   7627.74,   4316.14,        9955.14,  +3.57,  +2.27
  1,     UK000T,       1,  0.095800, 2459521.578169449233,  49.02292,   4.09456,              203.97196,  40.25879,       201.43220,       38.25302,     49.02292,      +4.09456,      50.45122,       +1.67468,  1661413.38,  3806352.19,  4972590.71,      50.317042,       -4.271198,  113265.62,  180384.31,    2232.32,             6689.51,   715.71,  55195.23,           56538.62,   7690.77,   4357.30,       10111.61,  +1.96,  +0.68
  2,     UK000T,       1,  0.136252, 2459521.578169917688,  48.51852,   3.81446,              204.51365,  39.85908,       201.94428,       37.84206,     48.51852,      +3.81446,      49.96417,       +1.36759,  1661808.46,  3804457.20,  4971594.99,      50.322158,       -4.286826,  111491.33,  179158.48,    4409.13,             4512.70, -4023.43,  53812.17,           56538.62,   7724.51,   4379.53,       10227.32,  +1.40,  +0.13
  3,     UK000T,       1,  0.176784, 2459521.578170386609,  47.93564,   3.48438,              205.13023,  39.38815,       202.53152,       37.36190,     47.93564,      +3.48438,      49.39890,       +1.01064,  1662260.91,  3802287.05,  4970454.70,      50.328018,       -4.304714,  109459.68,  177776.68,    6902.02,             2019.80, -9083.72,  61504.37,           56538.62,   7750.61,   4396.84,       10343.18,  +1.27,  +0.02
  4,     UK000T,       1,  0.217320, 2459521.578170855995,  47.32337,   3.15314,              205.77504,  38.90516,       203.13400,       36.85968,     47.32337,      +3.15314,      48.81142,       +0.63943,  1662724.02,  3800065.75,  4969287.52,      50.334017,       -4.323036,  107380.47,  176387.66,    9453.68,              531.85, -13139.33,  62947.85,           58228.76,   7813.60,   4438.16,       10512.71,  +1.27,  +0.04
  5,     UK000T,       1,  0.257848, 2459521.578171324916,  46.74062,   2.82424,              206.37639,  38.42934,       203.70587,       36.37410,     46.74062,      +2.82424,      48.24666,       +0.28257,  1663162.43,  3797962.93,  4968182.60,      50.339697,       -4.340404,  105412.45,  175097.19,   11869.23,             2947.41, -13290.91,  59602.25,           58907.48,   7843.49,   4458.00,       10632.48,  +1.29,  +0.07
  6,     UK000T,       1,  0.298336, 2459521.578171793371,  46.20431,   2.51876,              206.92227,  37.98625,       204.22724,       35.92391,     46.20431,      +2.51876,      47.72564,       -0.04648,  1663561.06,  3796050.92,  4967177.95,      50.344862,       -4.356224,  103623.26,  173945.12,   14065.59,             5143.77, -13659.17,  54247.14,           58650.50,   7864.99,   4472.39,       10733.60,  +2.08,  +0.88
  0,     UK001K,       0,  0.003108, 2459521.578168377280,  48.91543,   0.67142,              203.01656,  36.91632,       203.03345,       36.92911,     48.91543,      +0.67142,      48.90546,       +0.68711,  1662665.03,  3800348.71,  4969436.20,      50.333253,       -4.319828,  107645.53,  176544.30,       0.00,              206.81,   104.38,      0.00,           61526.04,    -51.46,    -25.21,          66.95,  +3.26,  +2.03
  1,     UK001K,       0,  0.043568, 2459521.578168845270,  48.31827,   0.32467,              203.63149,  36.43304,       203.62487,       36.42806,     48.31827,      +0.32467,      48.32237,       +0.31852,  1663118.60,  3798173.14,  4968293.06,      50.339129,       -4.337789,  105609.48,  175205.63,    2499.12,             2705.93,    40.67,  61767.69,           61526.04,     20.02,      9.82,          26.26,  +1.75,  +0.53
  2,     UK001K,       0,  0.084056, 2459521.578169314191,  47.73876,  -0.06022,              204.20575,  35.91430,       204.21341,       35.92004,     47.73876,      -0.06022,      47.73458,       -0.05309,  1663569.00,  3796012.84,  4967157.94,      50.344965,       -4.355640,  103588.01,  173901.88,    4980.71,             5187.52,   -42.36,  61291.98,           61526.04,    -23.03,    -11.29,          30.42,  +1.77,  +0.57
  3,     UK001K,       0,  0.124536, 2459521.578169782646,  47.13050,  -0.42557,              204.81280,  35.40422,       204.80583,       35.39903,     47.13050,      -0.42557,      47.13515,       -0.43206,  1664021.54,  3793842.22,  4966017.39,      50.350830,       -4.373592,  101557.20,  172618.06,    7474.14,             7680.95,  -113.03,  61596.69,           61526.04,     20.80,     10.21,          27.69,  +1.26,  +0.07
  4,     UK001K,       0,  0.165120, 2459521.578170252498,  46.42860,  -0.88269,              205.49209,  34.77762,       205.49524,       34.77995,     46.42860,      -0.88269,      46.42743,       -0.87975,  1664547.78,  3791318.13,  4964691.12,      50.357651,       -4.394459,   99196.08,  171158.31,   10373.62,            10580.43,   215.76,  71443.90,           63514.11,     -9.34,     -4.58,          12.53,  +1.16,  -0.01
  5,     UK001K,       0,  0.205584, 2459521.578170720488,  45.85888,  -1.23942,              206.04046,  34.27999,       206.04139,       34.28067,     45.85888,      -1.23942,      45.85918,       -1.23855,  1664963.34,  3789324.92,  4963643.79,      50.363038,       -4.410988,   97331.85,  170032.68,   12663.27,            12870.07,   -57.69,  56584.69,           63092.14,     -2.74,     -1.34,           3.70,  +1.78,  +0.63
  0,     UK0021,       1,  0.067276, 2459521.578169119079,  35.10049,  26.18276,              237.05130,  55.39854,       236.96484,       55.36237,     35.10049,     +26.18276,      35.12103,      +26.12454,  1663383.89,  3796900.69,  4967624.45,      50.342566,       -4.348301,  104418.77,  126409.12,       0.00,             4167.62,     0.64,      0.00,           63021.18,     67.12,    116.65,         219.60,  +0.84,  +0.33
  1,     UK0021,       1,  0.107876, 2459521.578169588931,  33.97138,  25.88131,              238.15909,  54.55235,       238.04558,       54.50541,     33.97138,     +25.88131,      33.99934,      +25.80432,  1663871.53,  3794561.78,  4966395.48,      50.348885,       -4.367626,  102230.38,  125044.96,    2686.76,             6854.38,   115.69,  66176.34,           63021.18,     87.97,    153.03,         291.16,  +0.71,  +0.22
  2,     UK0021,       1,  0.148472, 2459521.578170058783,  32.91321,  25.55565,              239.12661,  53.71949,       239.03286,       53.68110,     32.91321,     +25.55565,      32.93731,      +25.49157,  1664326.02,  3792381.81,  4965250.03,      50.354776,       -4.385665,  100191.04,  123813.11,    5190.93,             9358.55,    48.41,  61685.15,           63021.18,     72.72,    126.42,         242.96,  +0.72,  +0.26
  3,     UK0021,       1,  0.189084, 2459521.578170529101,  31.83843,  25.22086,              240.08153,  52.86560,       240.00025,       52.83262,     31.83843,     +25.22086,      31.86024,      +25.16487,  1664780.42,  3790202.31,  4964104.82,      50.360666,       -4.403716,   98152.44,  122620.53,    7694.57,            11862.19,   -20.42,  61647.77,           63021.18,     63.12,    109.69,         212.89,  +1.03,  +0.59
  4,     UK0021,       1,  0.229520, 2459521.578170997091,  31.06485,  24.98211,              240.75711,  52.24994,       240.67424,       52.21653,     31.06485,     +24.98211,      31.08773,      +24.92469,  1665101.93,  3788660.18,  4963294.51,      50.364835,       -4.416546,   96710.16,  121802.71,    9466.05,            13633.67,  -810.25,  43809.56,           59012.67,     64.42,    111.96,         218.75,  +2.85,  +2.42
  0,     UK0024,       0,  0.000000, 2459521.578168340493,  26.86480,  16.35040,              238.47066,  42.54780,       238.50474,       42.56372,     26.86480,     +16.35040,      26.85243,      +16.37766,  1662625.35,  3800539.04,  4969536.21,      50.332739,       -4.318258,  107823.67,  157750.99,       0.00,               11.83,   106.27,      0.00,           63358.65,    -49.42,    -65.26,         107.03,  +3.39,  +2.40
  1,     UK0024,       0,  0.040736, 2459521.578168811742,  26.03321,  16.01898,              239.11089,  41.82488,       239.12671,       41.83223,     26.03321,     +16.01898,      26.02755,      +16.03171,  1663082.29,  3798347.32,  4968384.58,      50.338659,       -4.336351,  105772.47,  156892.95,    2517.68,             2505.85,    19.97,  61804.83,           63358.65,    -22.97,    -30.35,          50.04,  +1.99,  +1.01
  2,     UK0024,       0,  0.081496, 2459521.578169283923,  25.18300,  15.67026,              239.74870,  41.07519,       239.75165,       41.07655,     25.18300,     +15.67026,      25.18224,      +15.67264,  1663547.19,  3796117.43,  4967212.89,      50.344682,       -4.354773,  103685.88,  156056.88,    5079.20,             5067.37,    -0.35,  62843.93,           63358.65,     -4.28,     -5.66,           9.38,  +1.56,  +0.59
  3,     UK0024,       0,  0.122300, 2459521.578169756103,  24.29367,  15.28714,              240.39263,  40.27339,       240.39608,       40.27498,     24.29367,     +15.28714,      24.29287,      +15.28995,  1664032.96,  3793787.44,  4965988.61,      50.350978,       -4.374031,  101505.96,  155223.48,    7755.71,             7743.88,    91.53,  65594.35,           63358.65,     -5.03,     -6.64,          11.07,  +1.48,  +0.53
  4,     UK0024,       0,  0.163020, 2459521.578170227353,  23.48404,  14.95853,              240.98578,  39.55792,       240.96493,       39.54836,     23.48404,     +14.95853,      23.49272,      +14.94151,  1664467.01,  3791705.55,  4964894.69,      50.356604,       -4.391272,   99558.46,  154515.25,   10147.22,            10135.39,   -96.26,  58730.59,           62640.65,     30.41,     40.24,          67.33,  +1.60,  +0.66
  5,     UK0024,       0,  0.203844, 2459521.578170699999,  22.58542,  14.55198,              241.60458,  38.72720,       241.59450,       38.72260,     22.58542,     +14.55198,      22.59020,      +14.54369,  1664953.87,  3789370.33,  4963667.66,      50.362915,       -4.410607,   97374.33,  153760.47,   12829.73,            12817.90,     0.35,  65709.16,           62874.48,     14.75,     19.51,          32.81,  +2.05,  +1.12

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.