Orbital Analysis for matched events on 20210813_001259.785_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 78.57° Bg 49.87° Vg 52.95km/s
mass 1.81189g, abs. mag -4.6
Path Details
------------
start 6.81° 51.02° 107.61km
end   6.71° 50.90° 91.41km

Orbit Details
-------------
Semimajor axis -6.29A.U., eccentricity 1.14, inclination 90.89°, Period 1000000000.00Y, LA Sun 140.20°, 

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: 2459439.509025292937
Time: 2021-08-13 00:12:59.785310 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002N
 Convergence angle = 8.79092 deg
 R.A. = 220.72485  Dec = +22.23531 deg

Best intersection: Stations UK002F and UK002N with Qconv = 8.79 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3599520.77 +/- 11633.44 m
 Y =  -1937045.27 +/- 11069.16 m
 Z =   5018898.11 +/- 704.15 m
 Vx =     7041.35 +/- 12003.31 m/s
 Vy =    14604.37 +/- 12913.52 m/s
 Vz =    51610.73 +/- 12308.26 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):
    UK002F: 0.000869 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:12:59.785310 UTC
  Lon     = ++6.805474 +/- 0.2153 deg
  Lat     = +51.024192 +/- 0.0296 deg
  Lat geo = +50.839007 +/- 0.0295 deg
  Ht      =  107567.01 +/- 3582.40 m

  JD dynamic   = 2459439.509826033842 
  LST apparent = 331.7135383700 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  64.25942 +/- 32.1798 deg
  Dec       = +72.56020 +/- 18.7353 deg
  Azimuth   =  26.12740 +/- 22.5946 deg
  Elevation = +47.16395 +/- 13.0583 deg
  Vavg      =  53.22647 +/- 84.2423 km/s
  Vinit     =  54.09747 +/- 0.7761 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  64.21348 +/- 32.1798 deg
  Dec       = +72.25980 +/- 18.7353 deg
  Azimuth   =  26.54279 +/- 22.5946 deg
  Elevation = +47.06143 +/- 13.0583 deg
  Vavg      =  53.31646 +/- 84.2423 km/s
  Vinit     =  54.18746 +/- 0.7761 km/s
Radiant (geocentric, J2000):
  R.A.   =  65.12061 +/- 31.9906 deg
  Dec    = +72.32028 +/- 18.9112 deg
  Vg     =  52.94695 +/- 0.7938 km/s
  Vinf   =  54.09747 +/- 0.7761 km/s
  Zc     =  43.00237 +/- 13.0266 deg
  Zg     =  43.48755 +/- 13.2633 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  78.56640 +/- 37.3027 deg
  Bg     = +49.86910 +/- 11.5803 deg
  Vh     =  43.49894 +/- 8.5250 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 137.93658 +/- 19.7267 deg
  Bh     = +68.53638 +/- 13.1995 deg
  Vh_x   =  11.81663 +/- 11.3122 km/s
  Vh_y   = -10.66345 +/- 14.8565 km/s
  Vh_z   = -40.48229 +/- 6.7486 km/s
Orbit:
  La Sun = 140.197166 +/- -0.0000 deg
  a      =  -6.288451 +/- 1.7269 AU
  e      =   1.140911 +/- 1.1803
  i      =  90.888853 +/- 17.9147 deg
  peri   = 139.865714 +/- 7.0167 deg
  node   = 140.198041 +/- 0.0033 deg
  Pi     = 280.063755 +/- 7.0195 deg
  q      =   0.886112 +/- 0.0279 AU
  f      =  40.130775 +/- 7.0187 deg
  M      =        nan +/- nan deg
  Q      = -13.463014 +/- 3.4354 AU
  n      =   0.062501 +/- 2.6901 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -0.846323 +/- 5.5576
Shower association:
  IAU No.  =   -1
  IAU code =  ...

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 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002N
  Avg. res. = 5.827e-05 s
  Stddev    = 7.63e-03 s

Begin point on the trajectory:
  Lon =     6.805703 +/- 0.1059 deg
  Lat =    51.024487 +/- 0.0110 deg
  Ht  = 107607.11 +/- 2322.75 m
End point on the trajectory:
  Lon =     6.711181 +/- 0.1264 deg
  Lat =    50.904829 +/- 0.0169 deg
  Ht  = 91407.68 +/- 2932.23 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,   107464.23,    91407.68,          0.012096,     11.81,    122.64,             130.99, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_001253_332_0334080.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   107607.11,    95420.42,          0.049410,     37.62,    462.36,             125.52, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210813_001250_796_0368128.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,  0.012544, 2459439.509025431238,  43.61816,   2.33582,               96.44311,   7.98948,        96.43846,        7.98499,     43.61816,      +2.33582,      43.62460,       +2.33510,  3599502.52, -1937083.11,  5018764.40,      51.023436,       +6.804836,  107464.23,  586071.41,       0.00,              140.16,  -191.84,      0.00,           51422.18,     65.48,      6.30,          23.15,  +2.19,  -1.65
  1,     UK002F,       0,  0.052636, 2459439.509025895037,  43.60611,   2.09613,               96.60122,   7.80764,        96.60750,        7.81369,     43.60611,      +2.09613,      43.59770,       +2.09710,  3599166.49, -1937780.07,  5016301.38,      51.009500,       +6.793833,  105571.30,  585241.32,    2581.69,             2721.85,   220.98,  64394.14,           51422.18,    -88.26,     -8.47,          31.25,  +1.45,  -2.39
  2,     UK002F,       0,  0.092684, 2459439.509026358835,  43.56495,   1.91909,               96.74361,   7.69306,        96.73486,        7.68461,     43.56495,      +1.91909,      43.57737,       +1.91774,  3598913.86, -1938304.03,  5014449.73,      50.999018,       +6.785521,  104148.53,  584621.20,    4522.56,             4662.72,    -4.65,  48463.49,           51422.18,    122.94,     11.83,          43.58,  +0.55,  -3.28
  3,     UK002F,       0,  0.132724, 2459439.509026822168,  43.53053,   1.76384,               96.86709,   7.59153,        96.84639,        7.57155,     43.53053,      +1.76384,      43.55955,       +1.76065,  3598693.03, -1938762.07,  5012831.07,      50.989850,       +6.778233,  102904.99,  584082.46,    6219.21,             6359.37,  -474.06,  42374.02,           51422.18,    290.59,     28.02,         103.10,  +0.29,  -3.54
  4,     UK002F,       0,  0.172824, 2459439.509027286433,  43.54453,   1.55832,               96.98302,   7.42057,        96.98919,        7.42652,     43.54453,      +1.55832,      43.53677,       +1.55927,  3598410.55, -1939347.96,  5010760.59,      50.978117,       +6.768958,  101314.62,  583402.97,    8389.45,             8529.61,  -473.13,  54120.67,           50959.19,    -86.50,     -8.31,          30.72,  -0.00,  -3.83
  5,     UK002F,       0,  0.212888, 2459439.509027749766,  43.49238,   1.31720,               97.17353,   7.26196,        97.16193,        7.25078,     43.49238,      +1.31720,      43.50922,       +1.31541,  3598069.35, -1940055.63,  5008259.71,      50.963936,       +6.757790,   99394.11,  582594.37,   11010.83,            11150.99,   -19.11,  65429.78,           52894.18,    162.44,     15.64,          57.78,  -0.36,  -4.19
  6,     UK002F,       0,  0.252964, 2459439.509028213564,  43.47798,   1.11182,               97.31178,   7.10843,        97.30664,        7.10347,     43.47798,      +1.11182,      43.48611,       +1.11103,  3597784.11, -1940647.25,  5006168.99,      50.952074,       +6.748427,   97788.92,  581924.74,   13202.28,            13342.45,     4.34,  54682.49,           53776.83,     71.90,      6.92,          25.60,  -0.43,  -4.25
  7,     UK002F,       0,  0.293056, 2459439.509028677829,  43.45421,   0.85575,               97.48867,   6.92051,        97.48733,        6.91923,     43.45421,      +0.85575,      43.45727,       +0.85555,  3597428.48, -1941384.86,  5003562.33,      50.937276,       +6.736794,   95788.10,  581103.18,   15934.54,            16074.70,   567.71,  68149.53,           55343.09,     18.61,      1.79,           6.64,  -0.94,  -4.76
  8,     UK002F,       0,  0.333116, 2459439.509029141627,  43.44989,   0.70096,               97.58753,   6.80073,        97.59582,        6.80872,     43.44989,      +0.70096,      43.43988,       +0.70223,  3597215.53, -1941826.51,  5002001.54,      50.928410,       +6.729761,   94590.27,  580612.31,   17570.53,            17710.69,    36.56,  40838.53,           55107.10,   -115.68,    -11.11,          41.28,  -0.99,  -4.81
  9,     UK002F,       0,  0.373196, 2459439.509029605426,  43.41202,   0.44431,               97.77578,   6.62088,        97.77779,        6.62282,     43.41202,      +0.44431,      43.41081,       +0.44462,  3596858.54, -1942566.95,  4999384.89,      50.913538,       +6.718085,   92582.59,  579806.53,   20313.26,            20453.42,   611.07,  68431.50,           55713.93,    -28.05,     -2.70,          10.03,  -0.42,  -4.24
 10,     UK002F,       0,  0.413248, 2459439.509030068759,  43.39350,   0.29334,               97.88346,   6.51275,        97.88459,        6.51384,     43.39350,      +0.29334,      43.39367,       +0.29351,  3596649.59, -1943000.34,  4997853.35,      50.904829,       +6.711181,   91407.68,  579335.71,   21918.59,            22058.75,    49.68,  40081.16,           55334.69,    -15.74,     -1.51,           5.63,  -1.25,  -5.06
 11,     UK002F,       1,  0.453372, 2459439.509030533489,  43.42516,   0.05339,               98.00586,   6.30351,        98.04933,        6.34531,     43.42516,      +0.05339,      43.36731,       +0.06007,  3596327.45, -1943668.48,  4995492.19,      50.891395,       +6.700628,   89596.75,  578623.99,   24393.52,            24533.68,   354.00,  61681.94,           55360.32,   -604.32,    -57.70,         216.40,  -0.40,  -4.21
  0,     UK002N,       0,  0.000000, 2459439.509025292937,  48.46386,   7.09332,               89.99025,   9.10096,        89.94377,        9.05631,     48.46386,      +7.09332,      48.52813,       +7.08760,  3599527.88, -1937030.50,  5018950.29,      51.024487,       +6.805703,  107607.11,  542662.11,       0.00,               54.69,   401.30,      0.00,           51329.52,    604.47,    -49.16,         230.52,  +0.17,  -3.50
  1,     UK002N,       0,  0.040180, 2459439.509025758132,  48.49995,   6.89446,               90.08903,   8.92402,        90.08147,        8.91676,     48.49995,      +6.89446,      48.51056,       +6.89354,  3599265.50, -1937574.70,  5017027.14,      51.013608,       +6.797075,  106129.03,  541839.30,    2015.81,             1961.12,   134.10,  50169.39,           51329.52,     98.09,     -8.01,          37.46,  +0.25,  -3.42
  2,     UK002N,       0,  0.080352, 2459439.509026222862,  48.50263,   6.69346,               90.21513,   8.76627,        90.22267,        8.77350,     48.50263,      +6.69346,      48.49255,       +6.69438,  3598997.07, -1938131.45,  5015059.61,      51.002471,       +6.788253,  104617.13,  541004.29,    4078.14,             4023.45,    23.22,  51337.49,           51329.52,    -97.78,      7.99,          37.40,  -0.31,  -3.98
  3,     UK002N,       0,  0.120520, 2459439.509026688058,  48.47441,   6.49010,               90.36674,   8.62599,        90.36733,        8.62655,     48.47441,      +6.49010,      48.47410,       +6.49017,  3598722.69, -1938700.54,  5013048.51,      50.991081,       +6.779238,  103072.04,  540157.85,    6186.13,             6131.45,   -41.77,  52479.49,           51329.52,     -7.60,      0.62,           2.91,  -0.38,  -4.04
  4,     UK002N,       0,  0.160712, 2459439.509027153254,  48.45315,   6.26533,               90.52645,   8.46467,        90.52645,        8.46467,     48.45315,      +6.26533,      48.45381,       +6.26533,  3598421.60, -1939325.03,  5010841.59,      50.978576,       +6.769363,  101376.85,  539238.11,    8499.39,             8444.71,    97.21,  57555.24,           52690.50,     -0.02,      0.00,           0.01,  -0.55,  -4.21
  5,     UK002N,       0,  0.200896, 2459439.509027617984,  48.47521,   6.05280,               90.64442,   8.28570,        90.67420,        8.31422,     48.47521,      +6.05280,      48.43497,       +6.05642,  3598142.74, -1939903.42,  5008797.62,      50.966987,       +6.760204,   99807.15,  538392.92,   10641.85,            10587.16,    65.81,  53316.14,           53168.66,   -384.07,     31.47,         147.63,  -0.81,  -4.47
  6,     UK002N,       0,  0.241080, 2459439.509028083179,  48.46057,   5.83802,               90.79236,   8.12790,        90.82567,        8.15978,     48.46057,      +5.83802,      48.41566,       +5.84207,  3597857.52, -1940494.99,  5006707.06,      50.955128,       +6.750841,   98202.01,  537536.21,   12833.13,            12778.45,    83.24,  54531.23,           53485.42,   -428.79,     35.15,         165.09,  -0.80,  -4.45
  7,     UK002N,       0,  0.281216, 2459439.509028547909,  48.30574,   5.64656,               91.03496,   8.07590,        90.96941,        8.01308,     48.30574,      +5.64656,      48.39732,       +5.63851,  3597587.48, -1941055.06,  5004727.82,      50.943894,       +6.741967,   96682.62,  536731.51,   14907.74,            14853.06,   -13.40,  51689.55,           53467.90,    843.37,    -68.47,         325.17,  +0.27,  -3.38
  8,     UK002N,       0,  0.321364, 2459439.509029012639,  48.30507,   5.47566,               91.14397,   7.94341,        91.08912,        7.89086,     48.30507,      +5.47566,      48.38204,       +5.46893,  3597363.12, -1941520.40,  5003083.33,      50.934555,       +6.734566,   95420.42,  536066.16,   16631.46,            16576.78,  -461.59,  42934.17,           52758.05,    704.76,    -57.27,         272.07,  +0.55,  -3.10

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.