Orbital Analysis for matched events on 20211103_190425.963_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 24.47° Bg 58.35° Vg 20.63km/s
mass 0.03226g, abs. mag 2.0
best visual mag 1.0
Path Details
------------
start -1.37° 53.14° 83.01km
end   -1.40° 53.12° 70.65km

Orbit Details
-------------
Semimajor axis 3.36A.U., eccentricity 0.73, inclination 27.90°, Period 6.17Y, LA Sun 221.28°, last Perihelion 2015-09-30

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: 2459522.294744944200
Time: 2021-11-03 19:04:25.963179 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002Z and UK003U
 Convergence angle = 49.05121 deg
 R.A. = 343.64034  Dec = +59.61895 deg

Best intersection: Stations UK002Z and UK003U with Qconv = 49.05 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3293678.01 +/- 29.24 m
 Y =  -2058641.47 +/- 64.49 m
 Z =   5146359.87 +/- 28.89 m
 Vx =    11225.60 +/- 247.24 m/s
 Vy =    -3468.63 +/- 92.73 m/s
 Vz =    20275.19 +/- 399.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.869155e+02, -1.166256e+03, +7.161981e+02, +5.325969e+02, -1.927871e+03, -1.915189e+03
-1.166256e+03, +2.969633e+03, -1.204948e+03, +6.026503e+03, +4.430134e+03, +1.313788e+04
+7.161981e+02, -1.204948e+03, +8.436946e+02, -1.716385e+03, -1.647390e+03, -4.220322e+03
+5.325969e+02, +6.026503e+03, -1.716385e+03, +3.589688e+04, +7.788804e+03, +5.428044e+04
-1.927871e+03, +4.430134e+03, -1.647390e+03, +7.788804e+03, +7.448152e+03, +1.862243e+04
-1.915189e+03, +1.313788e+04, -4.220322e+03, +5.428044e+04, +1.862243e+04, +9.179148e+04

Timing offsets (from input data):
    UK002Z: 0.000000 s
    UK003U: 0.005642 s

Reference point on the trajectory:
  Time: 2021-11-03 19:04:25.963179 UTC
  Lon     = +-1.370680 +/- 0.0007 deg
  Lat     = +53.139557 +/- 0.0003 deg
  Lat geo = +52.957057 +/- 0.0003 deg
  Ht      =   83046.10 +/- 54.17 m

  JD dynamic   = 2459522.295545685105 
  LST apparent = 327.9934569657 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 342.82922 +/- 0.7400 deg
  Dec       = +59.90811 +/- 0.1582 deg
  Azimuth   =  44.37057 +/- 0.8366 deg
  Elevation = +79.42137 +/- 0.3705 deg
  Vavg      =  21.53241 +/- 0.2489 km/s
  Vinit     =  23.43350 +/- 0.4237 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 344.15595 +/- 0.7400 deg
  Dec       = +59.74825 +/- 0.1582 deg
  Azimuth   =  46.94664 +/- 0.8366 deg
  Elevation = +78.93517 +/- 0.3705 deg
  Vavg      =  21.57046 +/- 0.2489 km/s
  Vinit     =  23.47154 +/- 0.4237 km/s
Radiant (geocentric, J2000):
  R.A.   = 343.75394 +/- 0.7533 deg
  Dec    = +60.16792 +/- 0.1604 deg
  Vg     =  20.62738 +/- 0.4790 km/s
  Vinf   =  23.43350 +/- 0.4237 km/s
  Zc     =  10.70984 +/- 0.3694 deg
  Zg     =  11.39390 +/- 0.3699 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  24.47050 +/- 0.6321 deg
  Bg     = +58.34994 +/- 0.2339 deg
  Vh     =  39.05081 +/- 0.2677 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 329.31276 +/- 0.5266 deg
  Bh     = +26.72163 +/- 0.4040 deg
  Vh_x   = -29.99583 +/- 0.2550 km/s
  Vh_y   =  17.80118 +/- 0.2323 km/s
  Vh_z   = -17.55944 +/- 0.3645 km/s
Orbit:
  La Sun = 221.282491 +/- -0.0000 deg
  a      =   3.364021 +/- 0.3181 AU
  e      =   0.731878 +/- 0.0220
  i      =  27.897672 +/- 0.4894 deg
  peri   = 218.244933 +/- 0.4029 deg
  node   = 221.281832 +/- 0.0000 deg
  Pi     =  79.526765 +/- 0.4029 deg
  q      =   0.901968 +/- 0.0030 AU
  f      = 321.754917 +/- 0.4029 deg
  M      = 355.695322 +/- 0.5074 deg
  Q      =   5.826074 +/- 0.6387 AU
  n      =   0.159741 +/- 0.0184 deg/day
  T      =   6.170050 +/- 0.9161 years
  Last perihelion JD = 2457295.593305 (2015-09-30 02:14:21.560297) +/- 334.6942 days
  Tj     =   2.515429 +/- 0.1230
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.370357e-04, -3.430584e-05, -4.913499e+00, -3.646693e-08, +2.301805e-03, +6.664483e-03
q   , -3.430584e-05, +5.396305e-06, +4.991162e-01, +4.811796e-09, -6.517332e-04, -8.763918e-04
Tp  , -4.913499e+00, +4.991162e-01, +7.233956e+04, +5.335892e-04, -3.337910e+01, -9.761131e+01
node, -3.646693e-08, +4.811796e-09, +5.335892e-04, +4.630323e-12, -4.907316e-07, -8.447377e-07
peri, +2.301805e-03, -6.517332e-04, -3.337910e+01, -4.907316e-07, +1.072488e-01, +8.901975e-02
i   , +6.664483e-03, -8.763918e-04, -9.761131e+01, -8.447377e-07, +8.901975e-02, +1.541430e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.124974
 a2 = 15.808022

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 9.273e-06 s
  Stddev    = 3.05e-03 s

Begin point on the trajectory:
  Lon =    -1.370743 +/- 0.0006 deg
  Lat =    53.139518 +/- 0.0003 deg
  Ht  = 83013.07 +/- 53.36 m
End point on the trajectory:
  Lon =    -1.397066 +/- 0.0007 deg
  Lat =    53.124854 +/- 0.0002 deg
  Ht  = 70653.73 +/- 139.93 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
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  77.088659,   0.000000,    83013.07,    72010.72,          0.009964,     12.52,     15.14,              54.67, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20211103_190416_308_0183296.fits"}
    UK003U,   False,    -1.740490,    53.069201,  240.00,   0.197323,  15.034359,    79290.06,    70653.73,          0.024353,     33.90,      3.60,               8.65, 1.0000,    True,    True, {"ff_name": "FF_UK003U_20211103_190417_414_0174848.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,     UK002Z,       0,  0.000000, 2459522.294744944200, 290.68113,  20.27941,              236.41414,  45.74389,       236.43309,       45.74330,    290.68113,     +20.27941,     290.66883,      +20.28589,  3293661.92, -2058636.50,  5146330.80,      53.139518,       -1.370743,   83013.07,  115164.05,       0.00,               33.60,   -90.85,      0.00,           21742.57,    -20.51,    -16.94,          47.65,  +3.86,  +3.55
  1,     UK002Z,       0,  0.040304, 2459522.294745410793, 290.47344,  19.94009,              236.39537,  45.35274,       236.41317,       45.35219,    290.47344,     +19.94009,     290.46198,      +19.94621,  3293201.98, -2058494.39,  5145500.09,      53.138400,       -1.372730,   82069.27,  114608.20,     960.11,              993.71,   -75.20,  23821.77,           21742.57,    -19.32,    -15.96,          45.09,  +2.53,  +2.23
  2,     UK002Z,       0,  0.080560, 2459522.294745876454, 290.28076,  19.68671,              236.42491,  45.04188,       236.39863,       45.04270,    290.28076,     +19.68671,     290.29832,      +19.67764,  3292842.01, -2058383.16,  5144849.92,      53.137525,       -1.374322,   81330.57,  114178.33,    1711.56,             1745.16,  -267.09,  18666.77,           21742.57,     28.54,     23.60,          66.89,  +3.46,  +3.17
  3,     UK002Z,       1,  0.120840, 2459522.294746342581, 290.14698,  19.30264,              236.29199,  44.64878,       236.37894,       44.64607,    290.14698,     +19.30264,     290.09016,      +19.33276,  3292383.54, -2058241.49,  5144021.85,      53.136410,       -1.376304,   80389.74,  113633.89,    2668.62,             2702.22,  -253.94,  23760.13,           21742.57,    -94.74,    -78.14,         222.91,  +5.51,  +5.23
  4,     UK002Z,       0,  0.161240, 2459522.294746810570, 289.84680,  18.90214,              236.33694,  44.15906,       236.35409,       44.15853,    289.84680,     +18.90214,     289.83610,      +18.90812,  3291825.08, -2058068.93,  5143013.20,      53.135052,       -1.378682,   79243.74,  112976.73,    3834.40,             3867.99,   -34.87,  28855.84,           23268.81,    -18.71,    -15.46,          44.31,  +3.24,  +2.98
  5,     UK002Z,       0,  0.201588, 2459522.294747277163, 289.60898,  18.52696,              236.33161,  43.72148,       236.33268,       43.72144,    289.60898,     +18.52696,     289.60911,      +18.52734,  3291330.28, -2057916.04,  5142119.51,      53.133848,       -1.380809,   78228.35,  112402.13,    4867.29,             4900.89,    52.53,  25599.73,           24037.56,     -1.16,     -0.96,           2.77,  +2.47,  +2.22
  6,     UK002Z,       0,  0.241892, 2459522.294747743756, 289.40767,  18.19306,              236.31655,  43.33693,       236.31471,       43.33699,    289.40767,     +18.19306,     289.40991,      +18.19242,  3290899.67, -2057782.99,  5141341.75,      53.132799,       -1.382682,   77344.65,  111908.30,    5766.21,             5799.80,     6.98,  22303.28,           24126.05,      2.01,      1.66,           4.80,  +2.02,  +1.78
  7,     UK002Z,       0,  0.282196, 2459522.294748210348, 289.21370,  17.84487,              236.28438,  42.94360,       236.29647,       42.94322,    289.21370,     +17.84487,     289.20673,      +17.84915,  3290462.45, -2057647.89,  5140552.08,      53.131735,       -1.384581,   76447.40,  111411.99,    6678.89,             6712.49,   -24.80,  22644.98,           24039.53,    -13.28,    -10.97,          31.89,  +1.45,  +1.22
  8,     UK002Z,       0,  0.322504, 2459522.294748676941, 289.01130,  17.50816,              236.27102,  42.55570,       236.27885,       42.55546,    289.01130,     +17.50816,     289.00734,      +17.51095,  3290035.75, -2057516.04,  5139781.38,      53.130696,       -1.386440,   75571.70,  110932.89,    7569.64,             7603.24,   -78.61,  22098.66,           23869.80,     -8.62,     -7.13,          20.80,  +1.42,  +1.19
  9,     UK002Z,       0,  0.362876, 2459522.294749143999, 288.76274,  17.10366,              236.26241,  42.08677,       236.25693,       42.08694,    288.76274,     +17.10366,     288.76799,      +17.10171,  3289524.31, -2057358.01,  5138857.65,      53.129449,       -1.388634,   74522.13,  110364.07,    8637.26,             8670.86,    42.96,  26444.61,           23924.02,      6.05,      5.00,          14.67,  +1.22,  +1.01
 10,     UK002Z,       0,  0.403172, 2459522.294749610592, 288.57665,  16.76189,              236.23004,  41.70217,       236.24002,       41.70186,    288.57665,     +16.76189,     288.57151,      +16.76547,  3289108.50, -2057229.53,  5138106.63,      53.128436,       -1.390450,   73668.77,  109908.36,    9505.27,             9538.86,   -33.32,  21540.67,           23845.32,    -11.02,     -9.11,          26.83,  +0.97,  +0.76
 11,     UK002Z,       0,  0.443500, 2459522.294750077184, 288.36198,  16.40806,              236.22193,  41.29291,       236.22203,       41.29291,    288.36198,     +16.40806,     288.36376,      +16.40809,  3288670.47, -2057094.18,  5137315.47,      53.127368,       -1.392355,   72769.78,  109433.33,   10419.67,            10453.27,   -63.94,  22674.19,           23754.87,     -0.11,     -0.10,           0.28,  +1.10,  +0.90
 12,     UK002Z,       0,  0.483780, 2459522.294750543311, 288.17270,  16.10997,              236.22515,  40.94382,       236.20760,       40.94436,    288.17270,     +16.10997,     288.18685,      +16.10362,  3288300.63, -2056979.90,  5136647.48,      53.126466,       -1.393989,   72010.72,  109037.70,   11191.71,            11225.31,  -235.80,  19166.89,           23549.12,     19.46,     16.11,          47.78,  +1.50,  +1.31
  0,     UK003U,       0,  0.157733, 2459522.294746703934, 358.27260,  54.57713,               72.87540,  71.99038,        73.02142,       72.01747,    358.27260,     +54.57713,     358.21630,      +54.53615,  3291847.65, -2058075.91,  5143053.96,      53.135107,       -1.378554,   79290.06,   83055.69,       0.00,             3820.88,     0.19,      0.00,           22173.05,      8.31,     75.83,         189.45,  +4.39,  +4.79
  1,     UK003U,       0,  0.197825, 2459522.294747167733, 358.38264,  54.47824,               73.16279,  71.91337,        73.21308,       71.92274,    358.38264,     +54.47824,     358.36366,      +54.46412,  3291371.10, -2057928.66,  5142193.23,      53.133947,       -1.380608,   78312.11,   82072.41,     994.80,             4815.69,    55.50,  24813.01,           22173.05,      2.75,     25.93,          65.53,  +3.48,  +3.91
  2,     UK003U,       0,  0.237921, 2459522.294747631997, 358.44064,  54.37144,               73.48690,  71.86446,        73.37350,       71.84317,    358.44064,     +54.37144,     358.48674,      +54.40322,  3290974.20, -2057806.02,  5141476.38,      53.132981,       -1.382346,   77497.60,   81253.14,    1823.33,             5644.21,   -55.57,  20663.49,           22173.05,     -5.84,    -58.19,         148.47,  +4.42,  +4.87
  3,     UK003U,       0,  0.277961, 2459522.294748095330, 358.62238,  54.34235,               73.52810,  71.75538,        73.54283,       71.75813,    358.62238,     +54.34235,     358.61766,      +54.33821,  3290560.96, -2057678.33,  5140729.99,      53.131975,       -1.384150,   76649.54,   80400.49,    2685.98,             6506.86,  -131.20,  21544.75,           22173.05,      0.78,      7.49,          19.31,  +3.38,  +3.85
  4,     UK003U,       0,  0.318045, 2459522.294748559594, 358.80202,  54.25886,               73.73911,  71.63890,        73.76551,       71.64380,    358.80202,     +54.25886,     358.79279,      +54.25142,  3290029.84, -2057514.22,  5139770.72,      53.130681,       -1.386421,   75559.60,   79305.99,    3794.68,             7615.56,    38.20,  27659.42,           23157.35,      1.39,     13.29,          34.75,  +2.79,  +3.29
  5,     UK003U,       0,  0.358129, 2459522.294749023393, 358.92549,  54.17297,               73.97095,  71.55385,        73.94800,       71.54959,    358.92549,     +54.17297,     358.93618,      +54.17943,  3289597.51, -2057380.63,  5138989.85,      53.129628,       -1.388301,   74672.34,   78414.70,    4697.18,             8518.07,     1.39,  22515.37,           23346.89,     -1.18,    -11.47,          30.32,  +3.14,  +3.67
  6,     UK003U,       0,  0.398193, 2459522.294749487191, 359.10563,  54.11707,               74.08964,  71.44055,        74.13899,       71.44967,    359.10563,     +54.11707,     359.08743,      +54.10312,  3289151.40, -2057242.78,  5138184.11,      53.128541,       -1.390236,   73756.81,   77495.44,    5628.44,             9449.32,    -6.20,  23244.07,           23403.57,      2.57,     24.43,          65.38,  +2.59,  +3.14
  7,     UK003U,       0,  0.438285, 2459522.294749950990, 359.24785,  54.02178,               74.33924,  71.34205,        74.34112,       71.34240,    359.24785,     +54.02178,     359.24890,      +54.02125,  3288686.28, -2057099.07,  5137344.03,      53.127407,       -1.392246,   72802.26,   76537.49,    6599.37,            10420.25,    25.25,  24217.72,           23495.06,      0.10,      0.92,           2.50,  +3.08,  +3.66
  8,     UK003U,       0,  0.478341, 2459522.294750414789, 359.34474,  53.96118,               74.49417,  71.27533,        74.47517,       71.27182,    359.34474,     +53.96118,     359.35443,      +53.96656,  3288376.02, -2057003.20,  5136783.66,      53.126650,       -1.393644,   72165.46,   75897.47,    7247.04,            11067.92,  -265.74,  16169.07,           23049.62,     -0.95,     -9.27,          25.34,  +3.76,  +4.36
  9,     UK003U,       0,  0.518401, 2459522.294750878122, 359.46038,  53.90258,               74.63537,  71.19783,        74.61947,       71.19489,    359.46038,     +53.90258,     359.46900,      +53.90709,  3288046.35, -2056901.33,  5136188.22,      53.125846,       -1.395118,   71488.81,   75217.80,    7935.23,            11756.12,  -516.29,  17179.05,           22502.76,     -0.79,     -7.72,          21.28,  +3.66,  +4.28
 10,     UK003U,       0,  0.558417, 2459522.294751341455, 359.58735,  53.89829,               74.60626,  71.12349,        74.71702,       71.14380,    359.58735,     +53.89829,     359.54465,      +53.86680,  3287820.40, -2056831.52,  5135780.12,      53.125295,       -1.396181,   71024.97,   74750.91,    8406.90,            12227.79,  -982.34,  11787.05,           21718.19,      5.69,     53.41,         148.21,  +6.30,  +6.93
 11,     UK003U,       0,  0.598473, 2459522.294751805253, 359.59688,  53.83219,               74.80377,  71.10578,        74.79420,       71.10401,    359.59688,     +53.83219,     359.60327,      +53.83490,  3287639.58, -2056775.64,  5135453.53,      53.124854,       -1.397066,   70653.73,   74376.58,    8784.36,            12605.24, -1543.53,   9423.26,           20792.79,     -0.47,     -4.61,          12.84,  +6.47,  +7.11

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.