Orbital Analysis for matched events on 20210929_035721.143_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 127.62° Bg 26.90° Vg 56.92km/s
mass 0.01111g, abs. mag 0.8
Path Details
------------
start 0.58° 52.56° 111.72km
end   0.37° 52.51° 96.59km

Orbit Details
-------------
Semimajor axis 3.68A.U., eccentricity 0.86, inclination 117.61°, Period 7.05Y, LA Sun 185.94°, last Perihelion 2021-08-17

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: 2459486.664828053210
Time: 2021-09-29 03:57:21.143797 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 34.48612 deg
 R.A. = 140.15523  Dec = +44.70451 deg

Best intersection: Stations UK000C and UK002F with Qconv = 34.49 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1477041.25 +/- 392.81 m
 Y =   3667678.10 +/- 225.70 m
 Z =   5129932.44 +/- 520.67 m
 Vx =   -31403.13 +/- 1148.75 m/s
 Vy =    27148.48 +/- 1456.30 m/s
 Vz =    40490.79 +/- 1860.39 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.947176e+04, -2.875147e+04, -7.980192e+04, +1.060981e+05, -2.154693e+04, -1.320077e+05
-2.875147e+04, +1.902544e+04, +3.557596e+04, -3.262195e+04, +8.904227e+03, +2.876304e+04
-7.980192e+04, +3.557596e+04, +1.142297e+05, -1.552607e+05, +3.089033e+04, +2.169443e+05
+1.060981e+05, -3.262195e+04, -1.552607e+05, +2.728875e+05, -6.265008e+04, -3.806008e+05
-2.154693e+04, +8.904227e+03, +3.089033e+04, -6.265008e+04, +3.097828e+04, +7.489238e+04
-1.320077e+05, +2.876304e+04, +2.169443e+05, -3.806008e+05, +7.489238e+04, +6.089622e+05

Timing offsets (from input data):
    UK000C: -0.005781 s
    UK002F: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 03:57:21.143797 UTC
  Lon     = ++0.588680 +/- 0.0065 deg
  Lat     = +52.559269 +/- 0.0024 deg
  Lat geo = +52.376563 +/- 0.0025 deg
  Ht      =  112117.31 +/- 447.31 m

  JD dynamic   = 2459486.665628794115 
  LST apparent = 68.0644496073 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 139.15609 +/- 0.4315 deg
  Dec       = +44.28692 +/- 0.2929 deg
  Azimuth   =  70.46291 +/- 0.5399 deg
  Elevation = +44.06129 +/- 0.1583 deg
  Vavg      =  57.67057 +/- 1.4427 km/s
  Vinit     =  57.98880 +/- 2.3627 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 139.28420 +/- 0.4315 deg
  Dec       = +44.09930 +/- 0.2929 deg
  Azimuth   =  70.59463 +/- 0.5399 deg
  Elevation = +43.87513 +/- 0.1583 deg
  Vavg      =  57.86622 +/- 1.4427 km/s
  Vinit     =  58.18445 +/- 2.3627 km/s
Radiant (geocentric, J2000):
  R.A.   = 139.30758 +/- 0.4029 deg
  Dec    = +44.10751 +/- 0.3080 deg
  Vg     =  56.91766 +/- 2.4014 km/s
  Vinf   =  57.98880 +/- 2.3627 km/s
  Zc     =  46.00006 +/- 0.1589 deg
  Zg     =  46.45349 +/- 0.1443 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 127.62299 +/- 0.2252 deg
  Bg     = +26.89592 +/- 0.3706 deg
  Vh     =  39.11273 +/- 2.2985 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 158.71737 +/- 1.3880 deg
  Bh     = +41.17476 +/- 0.3299 deg
  Vh_x   =  27.43255 +/- 1.3626 km/s
  Vh_y   = -10.68592 +/- 1.4498 km/s
  Vh_z   = -25.75018 +/- 1.4161 km/s
Orbit:
  La Sun = 185.937995 +/- 0.0000 deg
  a      =   3.677004 +/- 9.9279 AU
  e      =   0.860342 +/- 0.1344
  i      = 117.609490 +/- 1.2272 deg
  peri   =  86.908700 +/- 6.7929 deg
  node   = 185.939645 +/- 0.0000 deg
  Pi     = 272.848345 +/- 6.7929 deg
  q      =   0.513524 +/- 0.0343 AU
  f      =  93.090562 +/- 6.7929 deg
  M      =   5.948236 +/- nan deg
  Q      =   6.840483 +/- 19.8686 AU
  n      =   0.139786 +/- 0.1100 deg/day
  T      =   7.050854 +/- 471404509.4204 years
  Last perihelion JD = 2459444.113117 (2021-08-17 14:42:53.285633) +/- 1.0440 days
  Tj     =   1.018234 +/- 1.2144
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.672219e-03, +7.200859e-04, +5.013710e-02, -2.054330e-09, +2.480093e-03, +1.415171e-04
q   , +7.200859e-04, +3.218563e-04, +2.161630e-02, -8.062339e-10, +1.090744e-03, +5.541315e-05
Tp  , +5.013710e-02, +2.161630e-02, +1.504160e+00, -6.314326e-08, +7.444863e-02, +4.347917e-03
node, -2.054330e-09, -8.062339e-10, -6.314326e-08, +7.935365e-15, -2.972076e-09, -5.453161e-10
peri, +2.480093e-03, +1.090744e-03, +7.444863e-02, -2.972076e-09, +3.724008e-03, +2.044257e-04
i   , +1.415171e-04, +5.541315e-05, +4.347917e-03, -5.453161e-10, +2.044257e-04, +3.747848e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 42.922590
 a2 = 4.297166

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 9.833e-06 s
  Stddev    = 3.14e-03 s

Begin point on the trajectory:
  Lon =     0.583056 +/- 0.0060 deg
  Lat =    52.558053 +/- 0.0024 deg
  Ht  = 111718.81 +/- 423.02 m
End point on the trajectory:
  Lon =     0.367015 +/- 0.0008 deg
  Lat =    52.511497 +/- 0.0009 deg
  Ht  = 96586.33 +/- 66.49 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   8.405460,   9.844199,   109336.91,    96586.33,          0.009855,     16.28,     28.75,              29.86, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210929_035717_137_0855040.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00, 116.642063,   0.000000,   111718.81,    97152.99,          0.030155,      6.10,     94.51,               9.25, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210929_035712_088_0860416.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,     UK000C,       0,  0.060007, 2459486.664829724003, 184.98550,  60.28868,               31.01083,  32.05588,        31.01126,       32.05527,    184.98550,     +60.28868,     184.98634,      +60.28798,  1479206.83,  3665805.93,  5127140.17,      52.550772,       +0.548824,  109336.91,  201659.91,       0.00,             3998.94,  -126.18,      0.00,           58487.55,      2.18,     -1.24,           2.57,  +4.50,  +2.98
  1,     UK000C,       0,  0.100123, 2459486.664830188267, 185.77124,  60.34974,               30.61474,  31.85057,        30.61222,       31.85410,    185.77124,     +60.34974,     185.77071,      +60.35382,  1480625.18,  3664579.73,  5125311.36,      52.545196,       +0.522937,  107516.54,  199423.61,    2619.13,             6618.07,   166.67,  65288.84,           58487.55,    -12.51,      7.08,          14.87,  +3.07,  +1.57
  2,     UK000C,       0,  0.140219, 2459486.664830652066, 186.46122,  60.41229,               30.25983,  31.67983,        30.26234,       31.67633,    186.46122,     +60.41229,     186.46337,      +60.40823,  1481846.58,  3663523.82,  5123736.51,      52.540387,       +0.500616,  105949.38,  197504.87,    4874.55,             8873.49,    96.97,  56250.50,           58487.55,     12.32,     -6.98,          14.78,  +2.43,  +0.95
  3,     UK000C,       0,  0.180327, 2459486.664831116330, 187.15291,  60.45146,               29.92132,  31.49306,        29.91687,       31.49926,    187.15291,     +60.45146,     187.15203,      +60.45866,  1483033.93,  3662497.34,  5122205.56,      52.535707,       +0.478906,  104426.27,  195646.53,    7067.10,            11066.04,   -36.30,  54666.21,           58487.55,    -21.59,     12.22,          26.15,  +2.01,  +0.55
  4,     UK000C,       0,  0.220431, 2459486.664831580594, 187.82807,  60.48614,               29.59297,  31.31031,        29.58162,       31.32601,    187.82807,     +60.48614,     187.82468,      +60.50445,  1484168.73,  3661516.29,  5120742.36,      52.531227,       +0.458145,  102970.91,  193876.90,    9162.61,            13161.55,  -266.37,  52251.88,           56783.73,    -54.34,     30.73,          66.42,  +1.95,  +0.51
  5,     UK000C,       0,  0.260539, 2459486.664832044858, 188.61438,  60.54238,               29.19833,  31.11275,        29.19153,       31.12211,    188.61438,     +60.54238,     188.61329,      +60.55333,  1485470.46,  3660390.92,  5119063.92,      52.526082,       +0.434348,  101301.89,  191855.97,   11566.38,            15565.32,  -188.41,  59932.51,           56746.77,    -32.12,     18.18,          39.68,  +1.69,  +0.28
  6,     UK000C,       0,  0.300635, 2459486.664832509123, 189.43373,  60.61405,               28.77723,  30.92066,        28.78640,       30.90810,    189.43373,     +60.61405,     189.43839,      +60.59930,  1486800.03,  3659241.48,  5117349.59,      52.520819,       +0.410040,   99597.65,  189801.34,   14021.56,            18020.50,   -58.35,  61232.49,           57214.06,     42.70,    -24.22,          53.35,  +2.13,  +0.74
  7,     UK000C,       0,  0.340747, 2459486.664832973387, 190.17732,  60.64481,               28.41907,  30.72230,        28.42425,       30.71525,    190.17732,     +60.64481,     190.18063,      +60.63651,  1487968.29,  3658231.51,  5115843.26,      52.516188,       +0.388654,   98100.54,  188003.51,   16178.85,            20177.79,  -227.11,  53781.68,           57122.70,     23.80,    -13.49,          30.01,  +2.34,  +0.97
  8,     UK000C,       0,  0.380859, 2459486.664833437651, 190.94482,  60.67650,               28.04859,  30.52036,        28.05232,       30.51530,    190.94482,     +60.67650,     190.94772,      +60.67053,  1489150.18,  3657209.74,  5114319.34,      52.511497,       +0.367015,   96586.33,  186192.70,   18361.33,            22360.27,  -370.68,  54409.56,           56899.15,     16.93,     -9.60,          21.57,  +3.48,  +2.13
  0,     UK002F,       0,  0.000000, 2459486.664828053210, 153.36962,  45.95245,               59.01841,  35.90572,        59.06801,       35.86584,    153.36962,     +45.95245,     153.37577,      +45.89600,  1477351.57,  3667409.82,  5129532.32,      52.558053,       +0.583056,  111718.81,  187510.00,       0.00,              573.03,   -72.38,      0.00,           57733.92,    184.90,     11.69,         203.80,  +4.69,  +3.32
  1,     UK002F,       0,  0.040092, 2459486.664828517009, 153.53715,  45.92669,               58.94929,  35.80038,        58.96714,       35.78613,    153.53715,     +45.92669,     153.53936,      +45.90643,  1478487.91,  3666427.44,  5128067.14,      52.553595,       +0.562292,  110259.80,  185436.85,    2098.35,             2671.39,  -298.91,  52338.45,           57733.92,     65.58,      4.33,          73.11,  +3.40,  +2.06
  2,     UK002F,       0,  0.080188, 2459486.664828981273, 153.74894,  45.93109,               58.82717,  35.69131,        58.83793,       35.68274,    153.74894,     +45.93109,     153.75045,      +45.91888,  1479916.62,  3665192.30,  5126224.98,      52.547983,       +0.536222,  108425.87,  182833.42,    4736.60,             5309.64,    14.22,  65798.30,           57733.92,     38.98,      2.59,          44.07,  +3.19,  +1.88
  3,     UK002F,       0,  0.120256, 2459486.664829445072, 153.92005,  45.95213,               58.71218,  35.61469,        58.73229,       35.59866,    153.92005,     +45.95213,     153.92272,      +45.92928,  1481053.00,  3664209.88,  5124759.74,      52.543513,       +0.515446,  106967.56,  180761.92,    6835.04,             7408.07,  -210.84,  52371.87,           57733.92,     72.11,      4.72,          82.45,  +2.44,  +1.15
  4,     UK002F,       0,  0.160336, 2459486.664829908870, 154.13060,  45.98733,               58.56208,  35.52666,        58.60257,       35.49427,    154.13060,     +45.98733,     154.13564,      +45.94122,  1482421.63,  3663026.68,  5122995.04,      52.538121,       +0.490452,  105211.66,  178269.76,    9362.35,             9935.38,    -7.72,  63056.67,           58531.18,    143.50,      9.10,         166.37,  +2.43,  +1.17
  5,     UK002F,       0,  0.200440, 2459486.664830373134, 154.33538,  45.97735,               58.45730,  35.41235,        58.47921,       35.39491,    154.33538,     +45.97735,     154.33842,      +45.95243,  1483690.06,  3661930.10,  5121359.55,      52.533117,       +0.467268,  103584.76,  175960.57,   11704.61,            12277.64,     8.96,  58404.63,           58740.93,     76.51,      4.97,          89.88,  +2.23,  +1.00
  6,     UK002F,       0,  0.240520, 2459486.664830836933, 154.51782,  45.98148,               58.35181,  35.31913,        58.36848,       35.30587,    154.51782,     +45.98148,     154.52044,      +45.96251,  1484800.64,  3660969.99,  5119927.58,      52.528730,       +0.446944,  102160.65,  173938.64,   13755.40,            14328.44,  -264.44,  51167.47,           58004.50,     57.55,      3.75,          68.40,  +2.46,  +1.26
  7,     UK002F,       0,  0.280616, 2459486.664831301197, 154.73112,  45.99018,               58.22488,  35.21283,        58.23949,       35.20123,    154.73112,     +45.99018,     154.73364,      +45.97356,  1486068.86,  3659873.59,  5118292.35,      52.523714,       +0.423752,  100534.80,  171631.89,   16097.30,            16670.33,  -247.66,  58407.24,           57731.23,     49.76,      3.24,          59.93,  +2.43,  +1.26
  8,     UK002F,       0,  0.320720, 2459486.664831765462, 154.96646,  45.99577,               58.08853,  35.09309,        58.09794,       35.08564,    154.96646,     +45.99577,     154.96862,      +45.98508,  1487427.67,  3658698.88,  5116540.33,      52.518332,       +0.398909,   98793.30,  169162.29,   18606.45,            19179.49,   -64.09,  62566.18,           57926.19,     31.55,      2.06,          38.55,  +2.21,  +1.07
  9,     UK002F,       0,  0.360848, 2459486.664832229726, 155.19734,  45.96006,               57.99261,  34.94871,        57.96097,       34.97356,    155.19734,     +45.96006,     155.19646,      +45.99594,  1488707.86,  3657592.14,  5114889.66,      52.513254,       +0.375487,   97152.99,  166836.37,   20970.45,            21543.49,   -27.07,  58911.51,           58079.24,   -104.34,     -7.18,         129.31,  +3.51,  +2.40

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.