Orbital Analysis for matched events on 20210810_001848.553_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 47.48° Bg 11.06° Vg 66.60km/s
mass 0.04737g, abs. mag -1.8
Path Details
------------
start 1.87° 51.65° 98.66km
end   1.73° 51.64° 93.01km

Orbit Details
-------------
Semimajor axis 3.03A.U., eccentricity 0.67, inclination 160.44°, Period 5.26Y, LA Sun 137.32°, last Perihelion 2016-05-05

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: 2459436.513061964419
Time: 2021-08-10 00:18:48.553726 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002K
 Convergence angle = 12.48151 deg
 R.A. =  41.83342  Dec = +28.38318 deg
Intersection 2 - Stations: UK000Z and UK0032
 Convergence angle = 17.22490 deg
 R.A. =  40.74881  Dec = +27.28343 deg
Intersection 3 - Stations: UK002K and UK0032
 Convergence angle = 4.75775 deg
 R.A. =  37.17986  Dec = +25.22592 deg

Best intersection: Stations UK000Z and UK0032 with Qconv = 17.22 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3309824.62 +/- 163.01 m
 Y =  -2293572.63 +/- 30.10 m
 Z =   5056093.45 +/- 26.51 m
 Vx =    44642.48 +/- 1276.93 m/s
 Vy =    39471.05 +/- 917.34 m/s
 Vz =    31741.36 +/- 1002.45 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.844572e+04, +3.397070e+03, -2.099933e+03, +1.946139e+05, +2.856778e+04, -8.820975e+03
+3.397070e+03, +9.568067e+02, -3.449645e+02, +2.176774e+04, +6.751872e+03, -4.204336e+03
-2.099933e+03, -3.449645e+02, +7.482850e+02, -2.338643e+04, -6.758784e+03, +4.030746e+03
+1.946139e+05, +2.176774e+04, -2.338643e+04, +1.764498e+06, +2.913446e+05, -1.205233e+05
+2.856778e+04, +6.751872e+03, -6.758784e+03, +2.913446e+05, +8.487591e+04, -5.205387e+04
-8.820975e+03, -4.204336e+03, +4.030746e+03, -1.205233e+05, -5.205387e+04, +3.860821e+04

Timing offsets (from input data):
    UK000Z: 0.000641 s
    UK002K: -0.000292 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 00:18:48.553726 UTC
  Lon     = ++1.871250 +/- 0.0016 deg
  Lat     = +51.649594 +/- 0.0009 deg
  Lat geo = +51.465047 +/- 0.0009 deg
  Ht      =   98634.60 +/- 69.80 m

  JD dynamic   = 2459436.513862705324 
  LST apparent = 325.2796292703 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  41.48180 +/- 0.6588 deg
  Dec       = +28.04273 +/- 0.5371 deg
  Azimuth   =  81.59650 +/- 0.8871 deg
  Elevation = +29.95350 +/- 0.2054 deg
  Vavg      =  64.59414 +/- 0.7719 km/s
  Vinit     =  67.51613 +/- 0.9448 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  41.54881 +/- 0.6588 deg
  Dec       = +27.92937 +/- 0.5371 deg
  Azimuth   =  81.63832 +/- 0.8871 deg
  Elevation = +29.83087 +/- 0.2054 deg
  Vavg      =  64.84600 +/- 0.7719 km/s
  Vinit     =  67.76799 +/- 0.9448 km/s
Radiant (geocentric, J2000):
  R.A.   =  41.52128 +/- 0.6697 deg
  Dec    = +27.62713 +/- 0.5305 deg
  Vg     =  66.59652 +/- 0.9576 km/s
  Vinf   =  67.51613 +/- 0.9448 km/s
  Zc     =  60.07363 +/- 0.2057 deg
  Zg     =  60.52796 +/- 0.2096 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  47.47592 +/- 0.7242 deg
  Bg     = +11.06074 +/- 0.3595 deg
  Vh     =  38.17134 +/- 0.9066 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  47.14851 +/- 1.2826 deg
  Bh     = +19.55699 +/- 0.8047 deg
  Vh_x   = -24.46267 +/- 1.2950 km/s
  Vh_y   = -26.36970 +/- 0.1961 km/s
  Vh_z   = -12.77764 +/- 0.2735 km/s
Orbit:
  La Sun = 137.321670 +/- -0.0000 deg
  a      =   3.026244 +/- 1.4016 AU
  e      =   0.665018 +/- 0.0809
  i      = 160.442940 +/- 0.7977 deg
  peri   = 180.402626 +/- 2.7093 deg
  node   = 137.312214 +/- 0.0004 deg
  Pi     = 317.714840 +/- 2.7089 deg
  q      =   1.013736 +/- 0.0011 AU
  f      = 359.586473 +/- 2.7097 deg
  M      = 359.937866 +/- 0.2105 deg
  Q      =   5.038752 +/- 2.8042 AU
  n      =   0.187218 +/- 0.0599 deg/day
  T      =   5.264493 +/- 4.4777 years
  Last perihelion JD = 2457513.956240 (2016-05-05 10:56:59.156094) +/- 1940.6467 days
  Tj     =   0.646426 +/- 0.4441
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.942807e-03, -9.005301e-05, -1.634242e+02, -5.851115e-07, +4.017753e-03, +1.052716e-03
q   , -9.005301e-05, +1.311356e-06, +2.156372e+00, +6.693423e-09, -5.104876e-05, -1.191265e-05
Tp  , -1.634242e+02, +2.156372e+00, +3.981859e+06, +1.414531e-02, -9.390260e+01, -2.547973e+01
node, -5.851115e-07, +6.693423e-09, +1.414531e-02, +6.228326e-11, -3.317809e-07, -1.126586e-07
peri, +4.017753e-03, -5.104876e-05, -9.390260e+01, -3.317809e-07, +2.373503e-03, +6.004375e-04
i   , +1.052716e-03, -1.191265e-05, -2.547973e+01, -1.126586e-07, +6.004375e-04, +2.041996e-04

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: UK0032
  Avg. res. = 1.494e-06 s
  Stddev    = 1.22e-03 s

Begin point on the trajectory:
  Lon =     1.871783 +/- 0.0014 deg
  Lat =    51.649643 +/- 0.0009 deg
  Ht  = 98656.42 +/- 62.58 m
End point on the trajectory:
  Lon =     1.732760 +/- 0.0012 deg
  Lat =    51.636853 +/- 0.0005 deg
  Ht  = 93006.48 +/- 43.87 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,    98217.61,    93006.48,          0.008288,     44.62,      0.18,              38.70, 0.3910,    True,    True, {"ff_name": "FF_UK000Z_20210810_001841_889_0348160.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,    98519.10,    93262.23,          0.010813,     51.93,      6.04,              55.80, 0.6841,    True,    True, {"ff_name": "FF_UK002K_20210810_001842_802_0353280.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,    98656.42,    93666.98,          0.005709,     21.53,      3.42,              49.51, 0.5783,    True,    True, {"ff_name": "FF_UK0032_20210810_001840_086_0359424.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,     UK000Z,       0,  0.023283, 2459436.513062228914,  16.51755,  -3.63460,              121.36354,  17.13079,       121.35685,       17.11606,     16.51755,      -3.63460,      16.53072,       -3.64395,  3309272.37, -2294060.91,  5055700.79,      51.648657,       +1.860968,   98217.61,  309927.13,       0.00,              835.21,    -3.78,      0.00,           68305.36,      0.34,     86.84,          57.80,  +2.55,  +0.09
  1,     UK000Z,       0,  0.063311, 2459436.513062692247,  16.33591,  -3.90779,              121.67293,  16.98937,       121.67155,       16.98634,     16.33591,      -3.90779,      16.33886,       -3.90971,  3307457.60, -2295665.46,  5054410.47,      51.645573,       +1.827321,   96847.91,  307813.15,    2744.62,             3579.83,    38.30,  68567.41,           68305.36,      0.07,     17.73,          11.88,  +2.17,  -0.27
  2,     UK000Z,       0,  0.103323, 2459436.513063155580,  16.15379,  -4.15848,              121.97019,  16.86698,       121.96855,       16.86339,     16.15379,      -4.15848,      16.15741,       -4.16076,  3305765.62, -2297161.43,  5053207.45,      51.642687,       +1.795931,   95571.65,  305850.77,    5303.52,             6138.73,  -104.26,  63953.31,           68305.36,      0.09,     20.89,          14.09,  +1.37,  -1.06
  3,     UK000Z,       0,  0.143339, 2459436.513063618448,  15.93956,  -4.45116,              122.31809,  16.72425,       122.31558,       16.71880,     15.93956,      -4.45116,      15.94501,       -4.45463,  3303811.74, -2298888.97,  5051818.22,      51.639343,       +1.759697,   94098.78,  303597.30,    8258.51,             9093.73,   149.02,  73845.43,           68305.36,      0.13,     31.55,          21.44,  +1.72,  -0.69
  4,     UK000Z,       0,  0.183359, 2459436.513064081781,  15.78815,  -4.67837,              122.57437,  16.60540,       122.57643,       16.60988,     15.78815,      -4.67837,      15.78491,       -4.67551,  3302361.90, -2300170.86,  5050787.36,      51.636853,       +1.732760,   93006.48,  301930.75,   10451.21,            11286.43,  -360.28,  54790.09,           66011.11,     -0.11,    -25.86,          17.66,  +3.75,  +1.35
  0,     UK002K,       0,  0.013775, 2459436.513062126469, 358.13531, -10.38219,              143.12791,  19.46713,       143.12354,       19.45713,    358.13531,     -10.38219,     358.14296,      -10.39001,  3309671.67, -2293707.87,  5055984.70,      51.649334,       +1.868371,   98519.10,  279553.75,       0.00,              231.33,    34.28,      0.00,           67844.66,     -6.10,     52.41,          38.93,  +1.61,  -0.62
  1,     UK002K,       0,  0.053815, 2459436.513062589802, 357.80707, -10.68791,              143.56392,  19.29846,       143.55944,       19.28829,    357.80707,     -10.68791,     357.81502,      -10.69589,  3307973.91, -2295208.95,  5054777.58,      51.646451,       +1.836884,   97237.51,  278152.35,    2567.63,             2798.96,  -101.43,  64126.74,           67844.66,     -6.18,     53.10,          39.64,  +0.80,  -1.42
  2,     UK002K,       0,  0.093883, 2459436.513063053600, 357.44515, -11.05915,              144.05585,  19.07873,       144.06167,       19.09185,    357.44515,     -11.05915,     357.43556,      -11.04884,  3306033.24, -2296924.82,  5053397.73,      51.643144,       +1.800907,   95773.47,  276572.02,    5502.66,             5733.99,   128.36,  73251.10,           67844.66,      7.92,    -68.18,          51.19,  +0.74,  -1.47
  3,     UK002K,       0,  0.133919, 2459436.513063516933, 357.10383, -11.36828,              144.50269,  18.90801,       144.50647,       18.91650,    357.10383,     -11.36828,     357.09792,      -11.36160,  3304329.81, -2298430.92,  5052186.57,      51.640231,       +1.769298,   94489.21,  275202.62,    8078.88,             8310.21,     1.51,  64347.71,           67844.66,      5.11,    -43.95,          33.17,  +0.76,  -1.44
  4,     UK002K,       0,  0.173959, 2459436.513063980266, 356.77590, -11.66872,              144.93185,  18.73918,       144.93503,       18.74626,    356.77590,     -11.66872,     356.77123,      -11.66313,  3302701.42, -2299870.67,  5051028.77,      51.637437,       +1.739066,   93262.23,  273909.70,   10541.62,            10772.95,  -239.10,  61506.78,           66408.08,      4.25,    -36.56,          27.71,  +2.56,  +0.37
  0,     UK0032,       0,  0.000000, 2459436.513061964419,   0.42370,  -3.47202,              138.20779,  25.55158,       138.20915,       25.55545,      0.42370,      -3.47202,       0.42101,       -3.46897,  3309853.52, -2293547.08,  5056114.00,      51.649643,       +1.871783,   98656.42,  221533.45,       0.00,               43.71,   776.70,      0.00,           62291.83,      2.46,    -15.51,          14.62,  +3.54,  +1.81
  1,     UK0032,       0,  0.039912, 2459436.513062426355,   0.12774,  -3.71121,              138.61379,  25.45067,       138.61052,       25.44148,      0.12774,      -3.71121,       0.13428,       -3.71846,  3308608.78, -2294647.63,  5055228.97,      51.647531,       +1.848656,   97716.67,  220334.60,    1882.52,             1838.81,  -122.90,  47166.78,           62291.83,     -5.82,     36.63,          34.72,  +1.38,  -0.34
  2,     UK0032,       0,  0.079796, 2459436.513062887825, 359.66231,  -4.12862,              139.26859,  25.25150,       139.26835,       25.25083,    359.66231,      -4.12862,     359.66311,       -4.12915,  3306587.40, -2296434.85,  5053791.74,      51.644090,       +1.811193,   96191.43,  218412.78,    4939.61,             4895.90,   241.37,  76649.46,           62291.83,     -0.42,      2.64,           2.53,  +0.61,  -1.09
  3,     UK0032,       0,  0.119704, 2459436.513063349761, 359.29788,  -4.44663,              139.77575,  25.10135,       139.77588,       25.10173,    359.29788,      -4.44663,     359.29812,       -4.44633,  3305049.30, -2297794.78,  5052698.14,      51.641462,       +1.782639,   95031.56,  216966.49,    7265.79,             7222.08,  -126.88,  58288.66,           62291.83,      0.23,     -1.47,           1.42,  +0.71,  -0.97
  4,     UK0032,       0,  0.159596, 2459436.513063811697, 358.86637,  -4.83034,              140.37736,  24.91436,       140.37990,       24.92125,    358.86637,      -4.83034,     358.86223,       -4.82488,  3303238.69, -2299395.64,  5051410.77,      51.638359,       +1.749047,   93666.98,  215285.14,   10004.11,             9960.40,   -81.92,  68643.20,           63639.97,      4.28,    -26.96,          26.15,  +1.95,  +0.28

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.