Orbital Analysis for matched events on 20211103_201511.879_UK

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Summary for Event
-----------------
shower ID 17 NTA
Lg 53.82° Bg 0.25° Vg 27.24km/s
mass 0.30684g, abs. mag -0.1
best visual mag 1.3
Path Details
------------
start 1.61° 51.55° 96.03km
end   1.34° 51.57° 83.21km

Orbit Details
-------------
Semimajor axis 1.87A.U., eccentricity 0.81, inclination 0.28°, Period 2.55Y, LA Sun 221.33°, last Perihelion 2019-05-29

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: 2459522.343887489755
Time: 2021-11-03 20:15:11.879115 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0034
 Convergence angle = 19.27349 deg
 R.A. =  50.54251  Dec = +20.85563 deg

Best intersection: Stations UK002K and UK0034 with Qconv = 19.27 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3956433.42 +/- 366.59 m
 Y =   -789438.06 +/- 20.54 m
 Z =   5046710.60 +/- 45.48 m
 Vx =    17656.97 +/- 2333.30 m/s
 Vy =    21083.29 +/- 1853.93 m/s
 Vz =    10453.58 +/- 1225.49 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.067629e+05, +1.918461e+03, -1.302099e+04, +4.305044e+05, -2.283753e+04, -7.340033e+04
+1.918461e+03, +3.418549e+02, -1.791521e+02, +1.109718e+04, -6.444258e+02, -2.175670e+03
-1.302099e+04, -1.791521e+02, +2.096234e+03, -4.512245e+04, +1.047406e+03, +8.172681e+03
+4.305044e+05, +1.109718e+04, -4.512245e+04, +2.515646e+06, -1.611186e+05, -4.269851e+05
-2.283753e+04, -6.444258e+02, +1.047406e+03, -1.611186e+05, +2.058199e+04, +2.964904e+04
-7.340033e+04, -2.175670e+03, +8.172681e+03, -4.269851e+05, +2.964904e+04, +7.656537e+04

Timing offsets (from input data):
    UK002K: -0.004919 s
    UK0034: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 20:15:11.879115 UTC
  Lon     = ++1.611922 +/- 0.0012 deg
  Lat     = +51.545358 +/- 0.0027 deg
  Lat geo = +51.360580 +/- 0.0027 deg
  Ht      =   95994.59 +/- 191.09 m

  JD dynamic   = 2459522.344688230660 
  LST apparent = 348.7158112900 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.05428 +/- 3.8557 deg
  Dec       = +20.81301 +/- 1.6442 deg
  Azimuth   =  99.01448 +/- 4.5870 deg
  Elevation = +33.85331 +/- 1.1252 deg
  Vavg      =  26.83800 +/- 1.3977 km/s
  Vinit     =  29.42025 +/- 1.2271 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.34553 +/- 3.8557 deg
  Dec       = +20.63559 +/- 1.6442 deg
  Azimuth   =  98.90766 +/- 4.5870 deg
  Elevation = +33.54060 +/- 1.1252 deg
  Vavg      =  27.07978 +/- 1.3977 km/s
  Vinit     =  29.66203 +/- 1.2271 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.37997 +/- 4.0817 deg
  Dec    = +18.96654 +/- 1.4872 deg
  Vg     =  27.24280 +/- 1.3216 km/s
  Vinf   =  29.42025 +/- 1.2271 km/s
  Zc     =  56.11793 +/- 1.1395 deg
  Zg     =  58.46483 +/- 1.3945 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  53.82368 +/- 4.1067 deg
  Bg     =  +0.24680 +/- 0.4810 deg
  Vh     =  36.24540 +/- 2.3664 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 359.56148 +/- 0.2310 deg
  Bh     =  +0.18547 +/- 0.3688 deg
  Vh_x   = -36.24415 +/- 2.3658 km/s
  Vh_y   =   0.27740 +/- 0.1742 km/s
  Vh_z   =  -0.11733 +/- 0.2221 km/s
Orbit:
  La Sun = 221.331734 +/- -0.0000 deg
  a      =   1.867818 +/- 979.3261 AU
  e      =   0.808601 +/- 0.0577
  i      =   0.278607 +/- 0.4219 deg
  peri   = 295.537068 +/- 30.4560 deg
  node   = 221.298507 +/- 30.6520 deg
  Pi     = 156.835575 +/- 8.3377 deg
  q      =   0.357500 +/- 0.0386 AU
  f      = 244.495523 +/- 8.3377 deg
  M      = 343.188746 +/- nan deg
  Q      =   3.378137 +/- 1958.6800 AU
  n      =   0.386102 +/- 0.1882 deg/day
  T      =   2.552717 +/- nan years
  Last perihelion JD = 2458633.489624 (2019-05-29 23:45:03.552639) +/- 251.4177 days
  Tj     =   3.491224 +/- 0.9797
Shower association:
  IAU No.  =   17
  IAU code =  NTA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.394481e-04, +6.982998e-04, -6.574742e+00, -4.000097e-04, -1.478266e-01, -1.049525e-02
q   , +6.982998e-04, +7.859769e-04, -7.121053e+00, -4.236539e-04, -1.662975e-01, -1.171394e-02
Tp  , -6.574742e+00, -7.121053e+00, +6.945068e+04, +4.504012e+00, +1.497851e+03, +1.051611e+02
node, -4.000097e-04, -4.236539e-04, +4.504012e+00, +3.710884e-04, +8.764817e-02, +6.601244e-03
peri, -1.478266e-01, -1.662975e-01, +1.497851e+03, +8.764817e-02, +3.524358e+01, +2.491348e+00
i   , -1.049525e-02, -1.171394e-02, +1.051611e+02, +6.601244e-03, +2.491348e+00, +1.949945e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.909351
 a2 = 6.869676

Mean time residuals from time vs. length:
  Station with reference time: UK0034
  Avg. res. = 1.516e-05 s
  Stddev    = 3.89e-03 s

Begin point on the trajectory:
  Lon =     1.612671 +/- 0.0011 deg
  Lat =    51.545284 +/- 0.0027 deg
  Ht  = 96030.43 +/- 189.25 m
End point on the trajectory:
  Lon =     1.340082 +/- 0.0028 deg
  Lat =    51.571592 +/- 0.0120 deg
  Ht  = 83212.25 +/- 748.75 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.002556,  48.775795,    95620.66,    92283.57,          0.030022,    137.56,     44.82,              47.04, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20211103_201511_051_0289536.fits"}
    UK0034,   False,     1.010397,    52.949859,   25.00,   0.673090,   8.234272,    96030.43,    83212.25,          0.015680,     48.96,      6.66,              56.31, 1.0000,    True,    True, {"ff_name": "FF_UK0034_20211103_201503_137_0296960.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,     UK002K,       0,  0.019051, 2459522.343887761701,  17.73109, -12.46480,              147.88085,  18.89045,       147.89898,       18.92394,     17.73109,     -12.46480,      17.70347,      -12.43865,  3956030.55,  -789919.11,  5046472.09,      51.546131,       +1.604004,   95620.66,  278231.77,       0.00,              671.27,   276.43,      0.00,           27627.35,    -56.61,   -173.75,         135.47,  +2.27,  +0.05
  1,     UK002K,       0,  0.059031, 2459522.343888224103,  17.58759, -12.54770,              148.04926,  18.85721,       148.04732,       18.85362,     17.58759,     -12.54770,      17.59083,      -12.55051,  3955402.99,  -790668.44,  5046100.55,      51.547334,       +1.591653,   95038.28,  277500.95,    1045.64,             1716.91,   145.84,  26153.96,           27627.35,      6.05,     18.59,          14.53,  +2.36,  +0.14
  2,     UK002K,       0,  0.099079, 2459522.343888687901,  17.51745, -12.66816,              148.15868,  18.76519,       148.17410,       18.79360,     17.51745,     -12.66816,      17.49435,      -12.64594,  3954870.23,  -791304.59,  5045785.13,      51.548355,       +1.581141,   94543.93,  276881.30,    1933.34,             2604.61,  -144.67,  22165.96,           27627.35,    -47.81,   -146.78,         115.00,  +4.22,  +2.01
  3,     UK002K,       0,  0.139115, 2459522.343889151234,  17.36970, -12.83537,              148.35938,  18.65300,       148.38174,       18.69408,     17.36970,     -12.83537,      17.33626,      -12.80321,  3953996.04,  -792348.41,  5045267.59,      51.550029,       +1.563994,   93732.98,  275871.39,    3389.91,             4061.18,   134.03,  36381.56,           27627.35,    -68.95,   -211.56,         166.37,  +1.60,  -0.60
  4,     UK002K,       0,  0.179087, 2459522.343889613636,  17.24703, -12.88599,              148.49606,  18.64319,       148.49460,       18.64052,     17.24703,     -12.88599,      17.25000,      -12.88808,  3953527.40,  -792907.99,  5044990.13,      51.550925,       +1.554723,   93298.29,  275329.13,    4170.77,             4842.04,  -261.09,  19535.27,           26704.51,      4.46,     13.73,          10.81,  +1.52,  -0.68
  5,     UK002K,       0,  0.219135, 2459522.343890077434,  17.11488, -13.05741,              148.68235,  18.52160,       148.69468,       18.54418,     17.11488,     -13.05741,      17.09708,      -13.03969,  3952693.27,  -793903.99,  5044496.29,      51.552519,       +1.538346,   92524.79,  274371.18,    5560.61,             6231.88,   -49.48,  34704.37,           27584.45,    -37.70,   -115.79,          91.55,  +1.89,  -0.30
  6,     UK002K,       0,  0.259147, 2459522.343890540302,  17.07066, -13.11008,              148.74303,  18.48528,       148.75885,       18.51426,     17.07066,     -13.11008,      17.04773,      -13.08734,  3952433.17,  -794214.56,  5044342.30,      51.553016,       +1.533123,   92283.57,  274069.49,    5993.99,             6665.26,  -793.26,  10831.19,           26103.92,    -48.34,   -148.41,         117.47,  +3.18,  +0.99
  0,     UK0034,       0,  0.000000, 2459522.343887489755,   1.15361,  -6.22093,              165.02008,  29.80414,       165.01650,       29.79637,      1.15361,      -6.22093,       1.15792,       -6.22812,  3956472.03,  -789391.96,  5046733.46,      51.545284,       +1.612671,   96030.43,  189016.95,       0.00,               64.34,   229.99,      0.00,           28689.22,      3.72,     27.37,          30.14,  +3.62,  +2.24
  1,     UK0034,       0,  0.040136, 2459522.343887954485,   0.89687,  -6.36362,              165.33596,  29.70275,       165.32964,       29.68913,      0.89687,      -6.36362,       0.90459,       -6.37623,  3955776.17,  -790222.85,  5046321.49,      51.546619,       +1.598996,   95384.58,  188353.25,    1159.45,             1095.11,    79.95,  28887.98,           28689.22,      6.49,     47.83,          52.86,  +2.29,  +0.92
  2,     UK0034,       0,  0.080288, 2459522.343888419215,   0.63683,  -6.52401,              165.65784,  29.58345,       165.65470,       29.57673,      0.63683,      -6.52401,       0.64090,       -6.53025,  3955057.12,  -791081.44,  5045895.78,      51.547997,       +1.584867,   94717.34,  187672.69,    2357.55,             2293.21,    96.77,  29839.13,           28689.22,      3.20,     23.57,          26.14,  +1.96,  +0.59
  3,     UK0034,       0,  0.120420, 2459522.343888883479,   0.39549,  -6.66231,              165.95396,  29.48235,       165.94999,       29.47389,      0.39549,      -6.66231,       0.40069,       -6.67017,  3954407.85,  -791856.69,  5045511.39,      51.549241,       +1.572090,   94114.98,  187062.51,    3439.36,             3375.02,    -2.11,  26956.31,           28689.22,      4.02,     29.58,          32.91,  +2.09,  +0.73
  4,     UK0034,       0,  0.160544, 2459522.343889347743,   0.16304,  -6.79461,              166.23833,  29.38512,       166.23331,       29.37449,      0.16304,      -6.79461,       0.16962,       -6.80449,  3953788.01,  -792596.81,  5045144.42,      51.550427,       +1.559882,   93540.01,  186483.96,    4472.15,             4407.81,  -149.78,  25739.96,           27964.70,      5.03,     37.06,          41.37,  +1.84,  +0.49
  5,     UK0034,       0,  0.200708, 2459522.343889812939, 359.86552,  -6.96761,              166.60193,  29.25597,       166.59683,       29.24527,    359.86552,      -6.96761,     359.87231,       -6.97758,  3952994.04,  -793544.85,  5044674.36,      51.551945,       +1.544287,   92803.69,  185749.43,    5795.07,             5730.73,    -8.50,  32937.87,           28468.57,      5.05,     37.22,          41.71,  +1.75,  +0.41
  6,     UK0034,       0,  0.240868, 2459522.343890277669, 359.59040,  -7.13721,              166.93865,  29.12595,       166.93732,       29.12318,    359.59040,      -7.13721,     359.59295,       -7.13980,  3952254.80,  -794427.54,  5044236.71,      51.553356,       +1.529751,   92118.27,  185071.37,    7026.79,             6962.46,    41.71,  30670.53,           28884.55,      1.31,      9.62,          10.82,  +1.58,  +0.24
  7,     UK0034,       0,  0.281008, 2459522.343890741933, 359.32617,  -7.28242,              167.25833,  29.01763,       167.25403,       29.00871,    359.32617,      -7.28242,     359.33231,       -7.29075,  3951571.08,  -795243.93,  5043831.92,      51.554661,       +1.516291,   91484.45,  184449.28,    8166.02,             8101.68,     0.00,  28381.23,           29015.89,      4.19,     30.87,          34.83,  +1.47,  +0.14
  8,     UK0034,       0,  0.321176, 2459522.343891207129, 359.04746,  -7.46073,              167.59838,  28.87744,       167.60066,       28.88212,    359.04746,      -7.46073,     359.04619,       -7.45634,  3950825.49,  -796134.20,  5043390.50,      51.556082,       +1.501624,   90793.42,  183776.86,    9408.33,             9343.99,    60.57,  30927.96,           29204.74,     -2.20,    -16.19,          18.34,  +1.38,  +0.06
  9,     UK0034,       0,  0.361328, 2459522.343891671859, 358.79483,  -7.62504,              167.90599,  28.74679,       167.91552,       28.76628,    358.79483,      -7.62504,     358.78548,       -7.60677,  3950152.17,  -796938.18,  5042991.87,      51.557364,       +1.488359,   90169.49,  183174.64,   10530.23,            10465.89,     1.18,  27941.21,           29231.92,     -9.14,    -67.18,          76.35,  +1.46,  +0.15
 10,     UK0034,       0,  0.401468, 2459522.343892136589, 358.51452,  -7.76986,              168.24089,  28.63802,       168.24398,       28.64430,    358.51452,      -7.76986,     358.51270,       -7.76396,  3949452.51,  -797773.61,  5042577.65,      51.558694,       +1.474579,   89521.29,  182554.25,   11696.01,            11631.67,   -13.97,  29042.82,           29238.16,     -2.93,    -21.60,          24.62,  +1.46,  +0.15
 11,     UK0034,       0,  0.441624, 2459522.343892601319, 358.22272,  -7.93577,              168.59066,  28.50865,       168.59301,       28.51339,    358.22272,      -7.93577,     358.22192,       -7.93132,  3948711.90,  -798657.93,  5042139.18,      51.560102,       +1.459998,   88835.30,  181903.64,   12930.01,            12865.68,    38.64,  30730.34,           29299.16,     -2.21,    -16.27,          18.62,  +1.38,  +0.08
 12,     UK0034,       0,  0.481792, 2459522.343893066049, 357.95721,  -8.11149,              168.91125,  28.36538,       168.92286,       28.38867,    357.95721,      -8.11149,     357.94623,       -8.08956,  3948015.64,  -799489.31,  5041726.96,      51.561423,       +1.446276,   88190.50,  181297.50,   14090.14,            14025.80,    17.01,  28881.85,           29322.26,    -10.84,    -79.73,          91.55,  +1.37,  +0.08
 13,     UK0034,       0,  0.521940, 2459522.343893530779, 357.67761,  -8.26902,              169.24411,  28.24082,       169.25476,       28.26206,    357.67761,      -8.26902,     357.66794,       -8.24899,  3947318.02,  -800322.30,  5041313.95,      51.562746,       +1.432524,   87544.58,  180695.72,   15252.53,            15188.19,    -1.77,  28952.54,           29326.22,     -9.86,    -72.55,          83.58,  +1.46,  +0.18
 14,     UK0034,       0,  0.562080, 2459522.343893995509, 357.41141,  -8.41564,              169.55967,  28.12462,       169.56823,       28.14159,    357.41141,      -8.41564,     357.40429,       -8.39962,  3946662.37,  -801105.17,  5040925.78,      51.563988,       +1.419587,   86937.63,  180135.16,   16344.97,            16280.63,   -90.25,  27215.79,           29276.05,     -7.86,    -57.85,          66.85,  +1.35,  +0.07
 15,     UK0034,       0,  0.602228, 2459522.343894459773, 357.11062,  -8.56678,              169.91340,  28.00667,       169.91379,       28.00744,    357.11062,      -8.56678,     357.11271,       -8.56605,  3945941.70,  -801965.69,  5040499.11,      51.565352,       +1.405380,   86270.63,  179524.95,   17545.77,            17481.43,   -70.62,  29909.30,           29256.44,     -0.35,     -2.61,           3.03,  +1.30,  +0.03
 16,     UK0034,       0,  0.642380, 2459522.343894924503, 356.83253,  -8.72941,              170.24222,  27.87381,       170.24439,       27.87807,    356.83253,      -8.72941,     356.83284,       -8.72537,  3945255.51,  -802785.04,  5040092.86,      51.566650,       +1.391840,   85635.66,  178949.52,   18689.10,            18624.77,  -108.56,  28475.24,           29227.67,     -1.96,    -14.47,          16.83,  +1.44,  +0.18
 17,     UK0034,       0,  0.682540, 2459522.343895389698, 356.58254,  -8.89994,              170.53967,  27.72930,       170.55351,       27.75625,    356.58254,      -8.89994,     356.57032,       -8.87436,  3944616.99,  -803547.46,  5039714.84,      51.567856,       +1.379227,   85044.90,  178418.96,   19753.00,            19688.67,  -226.18,  26491.55,           29159.46,    -12.42,    -91.33,         106.56,  +1.53,  +0.27
 18,     UK0034,       0,  0.722660, 2459522.343895853963, 356.31815,  -9.02028,              170.84656,  27.63532,       170.84855,       27.63917,    356.31815,      -9.02028,     356.31901,       -9.01661,  3944010.14,  -804272.07,  5039355.56,      51.569001,       +1.367228,   84483.53,  177919.16,   20764.15,            20699.81,  -395.38,  25202.91,           29048.22,     -1.77,    -13.05,          15.27,  +1.49,  +0.24
 19,     UK0034,       0,  0.762832, 2459522.343896318693, 356.00638,  -9.20332,              171.21186,  27.48239,       171.21656,       27.49143,    356.00638,      -9.20332,     356.00451,       -9.19471,  3943254.00,  -805174.94,  5038907.90,      51.570427,       +1.352315,   83784.25,  177303.04,   22024.04,            21959.70,  -317.36,  31362.51,           29000.25,     -4.14,    -30.52,          35.83,  +2.13,  +0.89
 20,     UK0034,       0,  0.802992, 2459522.343896783423, 355.75949,  -9.37206,              171.50260,  27.33672,       171.51954,       27.36913,    355.75949,      -9.37206,     355.74471,       -9.34114,  3942635.42,  -805913.55,  5038541.68,      51.571592,       +1.340082,   83212.25,  176803.90,   23054.72,            22990.38,  -468.20,  25664.24,           28921.40,    -14.86,   -109.25,         128.62,  +2.41,  +1.17

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.