Orbital Analysis for matched events on 20210813_233228.727_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 69.95° Bg 44.81° Vg 60.78km/s
mass 0.00733g, abs. mag 0.5
Path Details
------------
start -3.37° 54.19° 107.93km
end   -3.49° 54.09° 94.72km

Orbit Details
-------------
Semimajor axis -2.23A.U., eccentricity 1.42, inclination 104.92°, Period 1000000000.00Y, LA Sun 141.13°, 

Full details below
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Detailed report below graphs

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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: 2459440.480888049118
Time: 2021-08-13 23:32:28.727444 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK002Z
 Convergence angle = 12.85755 deg
 R.A. =  54.08870  Dec = +67.66463 deg

Best intersection: Stations UK000Y and UK002Z with Qconv = 12.86 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2562695.72 +/- 283.62 m
 Y =  -2809880.86 +/- 197.39 m
 Z =   5236855.44 +/- 260.77 m
 Vx =    14947.55 +/- 2414.82 m/s
 Vy =    20135.59 +/- 1614.34 m/s
 Vz =    56466.07 +/- 1647.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000Y: 0.006036 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:32:28.727444 UTC
  Lon     = +-3.370799 +/- 0.0051 deg
  Lat     = +54.192596 +/- 0.0017 deg
  Lat geo = +54.012850 +/- 0.0017 deg
  Ht      =  107889.80 +/- 189.10 m

  JD dynamic   = 2459440.481688790023 
  LST apparent = 312.3657546526 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.41185 +/- 2.1440 deg
  Dec       = +66.05338 +/- 2.5677 deg
  Azimuth   =  33.68024 +/- 3.6105 deg
  Elevation = +44.08167 +/- 0.8574 deg
  Vavg      =  60.39845 +/- 0.9053 km/s
  Vinit     =  61.78421 +/- 0.5596 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  53.29175 +/- 2.1440 deg
  Dec       = +65.82306 +/- 2.5677 deg
  Azimuth   =  33.97712 +/- 3.6105 deg
  Elevation = +43.98224 +/- 0.8574 deg
  Vavg      =  60.50945 +/- 0.9053 km/s
  Vinit     =  61.89521 +/- 0.5596 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.69944 +/- 2.1666 deg
  Dec    = +65.74129 +/- 2.5830 deg
  Vg     =  60.77924 +/- 0.5688 km/s
  Vinf   =  61.78421 +/- 0.5596 km/s
  Zc     =  46.06799 +/- 0.8513 deg
  Zg     =  46.46749 +/- 0.8659 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  69.94872 +/- 2.4157 deg
  Bg     = +44.81137 +/- 2.1305 deg
  Vh     =  46.36630 +/- 1.7694 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 101.11134 +/- 7.1639 deg
  Bh     = +67.49703 +/- 1.1616 deg
  Vh_x   =   3.41991 +/- 2.1455 km/s
  Vh_y   = -17.41318 +/- 0.5244 km/s
  Vh_z   = -42.83596 +/- 1.9850 km/s
Orbit:
  La Sun = 141.130459 +/- 0.0000 deg
  a      =  -2.226505 +/- 1.1445 AU
  e      =   1.421651 +/- 0.1742
  i      = 104.916794 +/- 2.8087 deg
  peri   = 151.060124 +/- 0.8805 deg
  node   = 141.129930 +/- 0.0002 deg
  Pi     = 292.190054 +/- 0.8804 deg
  q      =   0.938808 +/- 0.0064 AU
  f      =  28.936042 +/- 0.8805 deg
  M      =        nan +/- nan deg
  Q      =  -5.391819 +/- 2.2944 AU
  n      =   0.296667 +/- 0.1918 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -2.677690 +/- 0.9192
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 5.548315
 a2 = 5.197258

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 2.158e-05 s
  Stddev    = 4.65e-03 s

Begin point on the trajectory:
  Lon =    -3.370460 +/- 0.0052 deg
  Lat =    54.192895 +/- 0.0015 deg
  Ht  = 107929.11 +/- 160.07 m
End point on the trajectory:
  Lon =    -3.485715 +/- 0.0060 deg
  Lat =    54.092277 +/- 0.0035 deg
  Ht  = 94722.27 +/- 326.98 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   101484.46,    94722.27,          0.018653,     14.48,     61.08,              56.00, 1.0000,    True,    True, {"ff_name": "FF_UK000Y_20210813_233226_504_0293376.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   107929.11,    96067.07,          0.030387,      1.59,    124.94,              78.76, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_233220_893_0298240.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,     UK000Y,       0,  0.142668, 2459440.480889629573, 204.99138,  52.27693,              317.64474,  30.83455,       317.65861,       30.81795,    204.99138,     +52.27693,     204.95940,      +52.27235,  2560467.07, -2812883.04,  5228436.45,      54.143887,       -3.426647,  101484.46,  193491.47,       0.00,             9211.91,   488.31,      0.00,           61131.40,     67.15,     15.93,          73.57,  +3.01,  +1.58
  1,     UK000Y,       0,  0.182748, 2459440.480890093371, 205.10266,  52.04323,              317.40526,  30.70442,       317.42872,       30.67640,    205.10266,     +52.04323,     205.04869,      +52.03554,  2560240.14, -2813188.73,  5227579.20,      54.138920,       -3.432441,  100832.58,  193026.46,     937.99,            10149.90, -1050.01,  23402.93,           61131.40,    113.17,     26.80,         124.27,  +6.69,  +5.26
  2,     UK000Y,       0,  0.223156, 2459440.480890561361, 205.41647,  51.02231,              316.45453,  30.06585,       316.45453,       30.06585,    205.41647,     +51.02231,     205.41738,      +51.02231,  2559274.40, -2814489.65,  5223931.04,      54.117770,       -3.456556,   98059.34,  191065.29,    4929.75,            14141.66,   445.17,  98786.32,           61131.40,     -0.01,     -0.00,           0.01,  +1.56,  +0.15
  3,     UK000Y,       0,  0.263348, 2459440.480891026556, 205.58820,  50.52066,              315.97965,  29.75923,       315.97752,       29.76173,    205.58820,     +50.52066,     205.59404,      +50.52133,  2558805.62, -2815121.14,  5222160.17,      54.107495,       -3.468346,   96713.57,  190139.74,    6867.40,            16079.32,  -100.41,  48210.03,           61131.40,    -10.02,     -2.38,          11.17,  +1.97,  +0.57
  4,     UK000Y,       0,  0.303636, 2459440.480891492683, 205.83311,  49.76928,              315.27727,  29.29481,       315.26971,       29.30360,    205.83311,     +49.76928,     205.85098,      +49.77161,  2558111.78, -2816055.80,  5219539.09,      54.092277,       -3.485715,   94722.27,  188794.89,    9735.34,            18947.25,   278.36,  71185.79,           63110.84,    -35.22,     -8.37,          39.55,  +4.04,  +2.66
  0,     UK002Z,       0,  0.000000, 2459440.480888049118, 225.07659,  33.36025,              291.56230,  26.09475,       291.55666,       26.09979,    225.07659,     +33.36025,     225.08513,      +33.36068,  2562709.39, -2809862.45,  5236907.08,      54.192895,       -3.370460,  107929.11,  237320.18,       0.00,               56.50,   147.52,      0.00,           62319.97,    -29.59,     -0.36,          25.72,  +3.34,  +1.46
  1,     UK002Z,       0,  0.040412, 2459440.480888516642, 225.15226,  32.77486,              291.07949,  25.69718,       291.09657,       25.68197,    225.15226,     +32.77486,     225.12674,      +32.77358,  2562114.12, -2810664.32,  5234658.40,      54.179897,       -3.385395,  106217.61,  236930.76,    2460.47,             2403.96,    -1.84,  60884.59,           62319.97,     89.46,      1.03,          77.88,  +2.61,  +0.74
  2,     UK002Z,       0,  0.080852, 2459440.480888985097, 225.17819,  32.17690,              290.62519,  25.26147,       290.63189,       25.25552,    225.17819,     +32.17690,     225.16851,      +32.17640,  2561510.56, -2811477.36,  5232378.38,      54.166709,       -3.400535,  104482.75,  236561.36,    4955.22,             4898.72,    -5.64,  61690.27,           62319.97,     35.06,      0.41,          30.57,  +2.16,  +0.29
  3,     UK002Z,       0,  0.121316, 2459440.480889453087, 225.18788,  31.54772,              290.16291,  24.79191,       290.14712,       24.80587,    225.18788,     +31.54772,     225.21181,      +31.54889,  2560878.24, -2812329.15,  5229989.71,      54.152883,       -3.416386,  102665.72,  236201.64,    7568.87,             7512.36,   107.96,  64591.81,           62319.97,    -82.45,     -1.01,          72.01,  +1.85,  -0.02
  4,     UK002Z,       0,  0.161712, 2459440.480889920611, 225.21317,  31.00065,              289.75170,  24.39199,       289.72786,       24.41301,    225.21317,     +31.00065,     225.24904,      +31.00241,  2560329.29, -2813068.64,  5227915.97,      54.140872,       -3.430168,  101088.67,  235913.71,    9837.92,             9781.42,  -118.82,  56170.27,           61297.63,   -124.42,     -1.54,         108.79,  +1.84,  -0.02
  5,     UK002Z,       0,  0.202164, 2459440.480890389066, 225.26100,  30.36902,              289.26654,  23.93953,       289.24627,       23.95734,    225.26100,     +30.36902,     225.29157,      +30.37051,  2559695.91, -2813921.84,  5225523.34,      54.127004,       -3.446043,   99269.61,  235606.85,   12455.89,            12399.39,    -0.14,  64718.05,           61494.26,   -105.64,     -1.30,          92.49,  +1.51,  -0.35
  6,     UK002Z,       0,  0.242628, 2459440.480890857521, 225.25265,  29.74251,              288.82847,  23.45821,       288.77405,       23.50589,    225.25265,     +29.74251,     225.33304,      +29.74648,  2559072.01, -2814762.29,  5223166.49,      54.113335,       -3.461681,   97478.28,  235332.91,   15034.72,            14978.22,    78.66,  63731.44,           61804.38,   -283.49,     -3.71,         248.49,  +1.85,  -0.01
  7,     UK002Z,       0,  0.282952, 2459440.480891324114, 225.35553,  29.25306,              288.40930,  23.14298,       288.40331,       23.14821,    225.35553,     +29.25306,     225.36541,      +29.25350,  2558580.39, -2815424.55,  5221309.32,      54.102557,       -3.474037,   96067.07,  235138.85,   17066.80,            17010.30,  -380.65,  50393.74,           60985.49,    -31.19,     -0.37,          27.36,  +3.46,  +1.60

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.