Orbital Analysis for matched events on 20210816_225344.225_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.08° Bg 38.37° Vg 58.75km/s
mass 0.02355g, abs. mag -0.3
Path Details
------------
start 0.08° 53.28° 108.15km
end   -0.06° 53.18° 96.27km

Orbit Details
-------------
Semimajor axis 8.87A.U., eccentricity 0.89, inclination 113.41°, Period 26.41Y, LA Sun 143.99°, last Perihelion 2021-07-29

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: 2459443.453984089196
Time: 2021-08-16 22:53:44.225307 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK003G
 Convergence angle = 19.12840 deg
 R.A. =  52.60690  Dec = +58.51197 deg

Best intersection: Stations UK002F and UK003G with Qconv = 19.13 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2448919.79 +/- 346.32 m
 Y =  -3017664.39 +/- 708.09 m
 Z =   5175660.88 +/- 1221.62 m
 Vx =    19638.40 +/- 2685.82 m/s
 Vy =    23877.36 +/- 3063.75 m/s
 Vz =    51180.15 +/- 5275.61 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK003G: 0.006307 s

Reference point on the trajectory:
  Time: 2021-08-16 22:53:44.225307 UTC
  Lon     = ++0.078740 +/- 0.0105 deg
  Lat     = +53.279229 +/- 0.0088 deg
  Lat geo = +53.097686 +/- 0.0089 deg
  Ht      =  107839.32 +/- 781.25 m

  JD dynamic   = 2459443.454784830101 
  LST apparent = 309.0603042974 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.56375 +/- 1.7301 deg
  Dec       = +58.86546 +/- 0.1986 deg
  Azimuth   =  40.44214 +/- 0.6758 deg
  Elevation = +38.64151 +/- 0.7405 deg
  Vavg      =  58.72692 +/- 5.5628 km/s
  Vinit     =  59.79299 +/- 6.0367 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.45994 +/- 1.7301 deg
  Dec       = +58.63819 +/- 0.1986 deg
  Azimuth   =  40.70571 +/- 0.6758 deg
  Elevation = +38.53148 +/- 0.7405 deg
  Vavg      =  58.87100 +/- 5.5628 km/s
  Vinit     =  59.93708 +/- 6.0367 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.83175 +/- 1.6420 deg
  Dec    = +58.46852 +/- 0.1801 deg
  Vg     =  58.75402 +/- 6.1112 km/s
  Vinf   =  59.79299 +/- 6.0367 km/s
  Zc     =  51.49675 +/- 0.7418 deg
  Zg     =  51.98113 +/- 0.6884 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.08285 +/- 1.0114 deg
  Bg     = +38.37153 +/- 0.3726 deg
  Vh     =  40.64879 +/- 5.6782 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.35406 +/- 0.6653 deg
  Bh     = +63.79888 +/- 2.8312 deg
  Vh_x   =  -2.38792 +/- 1.0829 km/s
  Vh_y   = -17.78783 +/- 5.0622 km/s
  Vh_z   = -36.47212 +/- 3.4218 km/s
Orbit:
  La Sun = 143.987076 +/- nan deg
  a      =   8.867301 +/- 2.6085 AU
  e      =   0.891147 +/- 0.6451
  i      = 113.412214 +/- 2.7963 deg
  peri   = 154.279119 +/- 1.4086 deg
  node   = 143.985796 +/- 0.0002 deg
  Pi     = 298.264915 +/- 1.4084 deg
  q      =   0.965232 +/- 0.0015 AU
  f      =  25.716844 +/- 1.4087 deg
  M      =   0.693575 +/- nan deg
  Q      =  16.769370 +/- 5.2172 AU
  n      =   0.037326 +/- 1.0523 deg/day
  T      =  26.405099 +/- 249443819.1983 years
  Last perihelion JD = 2459424.873479 (2021-07-29 08:57:48.552513) +/- 0.0000 days
  Tj     =   0.116259 +/- 3.6178
Shower association:
  IAU No.  =    7
  IAU code =  PER

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

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: UK002F
  Avg. res. = 1.390e-05 s
  Stddev    = 3.73e-03 s

Begin point on the trajectory:
  Lon =     0.082461 +/- 0.0075 deg
  Lat =    53.281845 +/- 0.0069 deg
  Ht  = 108150.37 +/- 542.93 m
End point on the trajectory:
  Lon =    -0.061090 +/- 0.0101 deg
  Lat =    53.181543 +/- 0.0095 deg
  Ht  = 96271.52 +/- 703.73 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108150.37,    96271.52,          0.032143,    113.45,     13.21,               8.16, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210816_225342_583_0252416.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   106881.43,    96720.45,          0.016041,     67.61,     29.33,              13.94, 1.0000,    True,    True, {"ff_name": "FF_UK003G_20210816_225338_839_0255488.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,     UK002F,       0,  0.000000, 2459443.453984089196,  70.22375,  58.29279,               30.65093,  29.65544,        30.61159,       29.68583,     70.22375,     +58.29279,      70.24124,      +58.33759,  2449083.38, -3017465.49,  5176087.22,      53.281845,       +0.082461,  108150.37,  212888.96,       0.00,              498.08,  1195.20,      0.00,           62571.37,     20.27,   -168.73,         164.65,  +3.66,  +2.02
  1,     UK002F,       0,  0.040008, 2459443.453984552063,  70.44842,  58.33565,               30.51262,  29.61924,        30.52727,       29.60780,     70.44842,     +58.33565,      70.44214,      +58.31886,  2448363.01, -3018341.35,  5174209.86,      53.270322,       +0.065911,  106780.86,  210725.81,    2193.29,             1695.21,     0.13,  54821.16,           62571.37,     -7.11,     62.58,          61.65,  +2.56,  +0.94
  2,     UK002F,       0,  0.080084, 2459443.453985015862,  70.65419,  58.28524,               30.44737,  29.51434,        30.43615,       29.52305,     70.65419,     +58.28524,      70.65959,      +58.29805,  2447598.07, -3019271.40,  5172216.33,      53.258080,       +0.048349,  105327.08,  208429.91,    4522.30,             4024.22,   -67.12,  58114.91,           62571.37,      5.50,    -47.29,          47.11,  +1.56,  -0.03
  3,     UK002F,       0,  0.120140, 2459443.453985479660,  70.95817,  58.28884,               30.29723,  29.42236,        30.31476,       29.40867,     70.95817,     +58.28884,      70.95069,      +58.26876,  2446594.88, -3020491.14,  5169601.87,      53.242011,       +0.025373,  103421.25,  205421.81,    7576.73,             7078.65,   592.25,  76254.02,           62571.37,     -8.24,     73.06,          73.83,  +1.67,  +0.11
  4,     UK002F,       0,  0.160228, 2459443.453985943459,  71.06616,  58.20112,               30.30422,  29.31802,        30.25597,       29.35519,     71.06616,     +58.20112,      71.08953,      +58.25597,  2446132.11, -3021053.79,  5168395.84,      53.234594,       +0.014685,  102542.37,  204031.97,    8985.72,             8487.64,  -395.75,  35147.45,           58301.01,     23.80,   -198.47,         202.08,  +2.45,  +0.90
  5,     UK002F,       0,  0.200252, 2459443.453986406792,  71.36438,  58.24113,               30.13176,  29.25768,        30.14313,       29.24881,     71.36438,     +58.24113,      71.35989,      +58.22812,  2445237.28, -3022141.78,  5166063.79,      53.220244,       -0.005823,  100843.48,  201350.24,   11710.22,            11212.14,   -64.41,  68071.53,           58476.32,     -5.25,     46.47,          47.91,  +1.54,  +0.02
  6,     UK002F,       0,  0.240312, 2459443.453986870591,  71.58754,  58.21559,               30.04003,  29.16796,        30.04923,       29.16080,     71.58754,     +58.21559,      71.58418,      +58.20507,  2444513.73, -3023021.50,  5164178.14,      53.208633,       -0.022435,   99470.27,  199181.82,   13913.19,            13415.11,  -256.74,  54991.90,           58165.58,     -4.20,     37.17,          38.74,  +1.73,  +0.23
  7,     UK002F,       0,  0.280376, 2459443.453987334389,  71.90401,  58.20616,               29.89162,  29.06274,        29.92150,       29.03938,     71.90401,     +58.20616,      71.89083,      +58.17194,  2443544.04, -3024200.50,  5161651.01,      53.193060,       -0.044639,   97630.64,  196278.85,   16865.60,            16367.52,   300.13,  73692.34,           59330.27,    -13.19,    119.31,         126.15,  +1.58,  +0.12
  8,     UK002F,       0,  0.320436, 2459443.453987797722,  72.13942,  58.18659,               29.78937,  28.97453,        29.82398,       28.94746,     72.13942,     +58.18659,      72.12392,      +58.14695,  2442827.38, -3025071.86,  5159783.29,      53.181543,       -0.061090,   96271.52,  194133.11,   19047.64,            18549.56,    86.85,  54469.17,           59549.66,    -15.03,    136.81,         146.23,  +1.34,  -0.10
  0,     UK003G,       0,  0.032571, 2459443.453984357882,  77.41165,  52.47248,               30.08978,  21.94173,        30.09682,       21.93863,     77.41165,     +52.47248,      77.40517,      +52.46646,  2448415.92, -3018277.02,  5174347.75,      53.271169,       +0.067184,  106881.43,  272531.85,       0.00,             1534.12,   283.75,      0.00,           57676.76,    -13.67,     31.57,          26.04,  +3.79,  +1.61
  1,     UK003G,       0,  0.072675, 2459443.453984822147,  77.55983,  52.39708,               30.04793,  21.83065,        30.04078,       21.83380,     77.55983,     +52.39708,      77.56679,      +52.40318,  2447771.25, -3019060.85,  5172667.64,      53.260852,       +0.052357,  105656.15,  270642.97,    1962.85,             3496.97,  -151.34,  48943.98,           57676.76,     13.81,    -31.83,          26.44,  +1.92,  -0.24
  2,     UK003G,       0,  0.112819, 2459443.453985286877,  77.76699,  52.29575,               29.98664,  21.67886,        29.96426,       21.68867,     77.76699,     +52.29575,      77.78848,      +52.31480,  2446894.71, -3020126.58,  5170383.28,      53.246815,       +0.032259,  103990.77,  268078.56,    4631.62,             6165.74,   117.11,  66480.01,           57676.76,     42.91,    -98.67,          82.79,  +2.16,  +0.02
  3,     UK003G,       0,  0.152935, 2459443.453985751141,  77.95682,  52.22626,               29.91717,  21.55987,        29.90000,       21.56741,     77.95682,     +52.22626,      77.97362,      +52.24087,  2446174.54, -3021002.20,  5168506.43,      53.235275,       +0.015719,  102622.96,  265972.25,    6824.33,             8358.44,   -88.84,  54659.11,           57676.76,     32.66,    -75.20,          63.58,  +2.20,  +0.08
  4,     UK003G,       0,  0.193059, 2459443.453986215405,  78.21335,  52.16653,               29.80411,  21.42863,        29.82275,       21.42041,     78.21335,     +52.16653,      78.19651,      +52.15066,  2445317.32, -3022044.46,  5166272.39,      53.221528,       -0.003935,  100995.42,  263468.09,    9434.32,            10968.44,   122.02,  65048.21,           59142.85,    -34.99,     81.08,          69.13,  +1.21,  -0.89
  5,     UK003G,       0,  0.233191, 2459443.453986680135,  78.38970,  52.06707,               29.75771,  21.28809,        29.75391,       21.28976,     78.38970,     +52.06707,      78.39424,      +52.07030,  2444568.69, -3022954.68,  5164321.38,      53.209515,       -0.021117,   99574.57,  261282.27,   11713.66,            13247.78,     1.74,  56796.02,           59226.40,      7.09,    -16.38,          14.09,  +1.39,  -0.70
  6,     UK003G,       0,  0.273335, 2459443.453987144399,  78.60740,  51.97042,               29.68568,  21.13716,        29.67617,       21.14134,     78.60740,     +51.97042,      78.61754,      +51.97849,  2443733.67, -3023969.94,  5162145.21,      53.196107,       -0.040261,   97990.33,  258846.85,   14256.05,            15790.16,   143.80,  63331.67,           59696.32,     17.60,    -40.63,          35.29,  +1.38,  -0.69
  7,     UK003G,       0,  0.313459, 2459443.453987609129,  78.77502,  51.88298,               29.63679,  21.00968,        29.61242,       21.02037,     78.77502,     +51.88298,      78.79953,      +51.90361,  2443064.13, -3024783.99,  5160400.31,      53.185349,       -0.055642,   96720.45,  256894.57,   16294.58,            17828.70,  -216.80,  50805.94,           59151.26,     44.87,   -103.35,          90.46,  +3.45,  +1.40

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.