Orbital Analysis for matched events on 20210904_214821.117_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 68.63° Bg 37.29° Vg 62.13km/s
mass 0.00628g, abs. mag -0.5
Path Details
------------
start -2.73° 53.44° 106.41km
end   -2.95° 53.27° 88.76km

Orbit Details
-------------
Semimajor axis -14.44A.U., eccentricity 1.07, inclination 117.72°, Period 1000000000.00Y, LA Sun 162.28°, 

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: 2459462.408577747643
Time: 2021-09-04 21:48:21.157509 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0029 and UK002Z
 Convergence angle = 49.42079 deg
 R.A. =  55.96387  Dec = +58.17875 deg

Best intersection: Stations UK0029 and UK002Z with Qconv = 49.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2415622.25 +/- 522.92 m
 Y =  -3024213.49 +/- 1181.36 m
 Z =   5188168.88 +/- 1824.67 m
 Vx =    18173.47 +/- 3978.00 m/s
 Vy =    27329.66 +/- 6130.36 m/s
 Vz =    53905.86 +/- 10176.00 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.575020e+05, +3.895882e+05, +6.325268e+05, +3.390614e+05, +1.375582e+06, +1.816459e+06
+3.895882e+05, +9.732216e+05, +1.582039e+06, +8.204885e+05, +3.402555e+06, +4.485503e+06
+6.325268e+05, +1.582039e+06, +2.572102e+06, +1.328438e+06, +5.524312e+06, +7.281024e+06
+3.390614e+05, +8.204885e+05, +1.328438e+06, +7.645495e+05, +2.961288e+06, +3.924815e+06
+1.375582e+06, +3.402555e+06, +5.524312e+06, +2.961288e+06, +1.201397e+07, +1.586448e+07
+1.816459e+06, +4.485503e+06, +7.281024e+06, +3.924815e+06, +1.586448e+07, +2.095510e+07

Timing offsets (from input data):
    UK0029: 0.000000 s
    UK002Z: -0.001349 s

Reference point on the trajectory:
  Time: 2021-09-04 21:48:21.157509 UTC
  Lon     = +-2.701503 +/- 0.0169 deg
  Lat     = +53.457057 +/- 0.0139 deg
  Lat geo = +53.275867 +/- 0.0139 deg
  Ht      =  108454.94 +/- 1111.97 m

  JD dynamic   = 2459462.409378952812 
  LST apparent = 308.6164780125 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  56.37720 +/- 2.0646 deg
  Dec       = +58.66492 +/- 0.6685 deg
  Azimuth   =  37.90694 +/- 0.4359 deg
  Elevation = +36.28275 +/- 1.2082 deg
  Vavg      =  60.92888 +/- 5.8009 km/s
  Vinit     =  63.11122 +/- 11.4582 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  56.22812 +/- 2.0646 deg
  Dec       = +58.45686 +/- 0.6685 deg
  Azimuth   =  38.15689 +/- 0.4359 deg
  Elevation = +36.18954 +/- 1.2082 deg
  Vavg      =  61.06914 +/- 5.8009 km/s
  Vinit     =  63.25148 +/- 11.4582 km/s
Radiant (geocentric, J2000):
  R.A.   =  56.55001 +/- 1.8914 deg
  Dec    = +58.27322 +/- 0.5914 deg
  Vg     =  62.12785 +/- 11.6014 km/s
  Vinf   =  63.11122 +/- 11.4582 km/s
  Zc     =  53.86029 +/- 1.2089 deg
  Zg     =  54.31736 +/- 1.0942 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.63245 +/- 1.0234 deg
  Bg     = +37.29128 +/- 0.8329 deg
  Vh     =  42.67276 +/- 10.4248 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  62.05956 +/- 5.1830 deg
  Bh     = +61.90040 +/- 5.8337 deg
  Vh_x   =  -9.41751 +/- 2.7037 km/s
  Vh_y   = -17.75626 +/- 9.5781 km/s
  Vh_z   = -37.64293 +/- 6.1225 km/s
Orbit:
  La Sun = 162.278168 +/- -0.0000 deg
  a      = -14.440789 +/- 29.1651 AU
  e      =   1.069356 +/- 1.2390
  i      = 117.720770 +/- 6.1797 deg
  peri   = 189.276364 +/- 7.7724 deg
  node   = 162.276741 +/- 0.0004 deg
  Pi     = 351.553104 +/- 7.7728 deg
  q      =   1.001549 +/- 0.0098 AU
  f      = 350.720526 +/- 7.7723 deg
  M      =        nan +/- nan deg
  Q      = -29.883126 +/- 58.3305 AU
  n      =   0.017960 +/- 2.0173 deg/day
  T      = 1000000000.000000 +/- 399999909.5410 years
  Last perihelion JD = NaN 
  Tj     =  -0.947482 +/- 6.7122
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.495489e-01, +6.185897e-03, -6.286942e+04, -2.035481e-06, -8.009130e-02, +3.565175e-02
q   , +6.185897e-03, +2.657589e-04, -2.493771e+03, -8.526939e-08, -3.450918e-03, +1.497952e-03
Tp  , -6.286942e+04, -2.493771e+03, +2.758224e+10, +8.441047e-01, +3.217957e+04, -1.473661e+04
node, -2.035481e-06, -8.526939e-08, +8.441047e-01, +2.782127e-11, +1.105107e-06, -4.877768e-07
peri, -8.009130e-02, -3.450918e-03, +3.217957e+04, +1.105107e-06, +4.482048e-02, -1.941820e-02
i   , +3.565175e-02, +1.497952e-03, -1.473661e+04, -4.877768e-07, -1.941820e-02, +8.553945e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 31.094697
 a2 = 6.637799

Mean time residuals from time vs. length:
  Station with reference time: UK0029
  Avg. res. = 5.039e-05 s
  Stddev    = 7.10e-03 s

Begin point on the trajectory:
  Lon =    -2.726866 +/- 0.0091 deg
  Lat =    53.437606 +/- 0.0076 deg
  Ht  = 106407.93 +/- 559.80 m
End point on the trajectory:
  Lon =    -2.947830 +/- 0.0330 deg
  Lat =    53.268714 +/- 0.0272 deg
  Ht  = 88761.00 +/- 1991.47 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
    UK0029,   False,    -4.441783,    52.004778,  230.00,  46.108665,   5.809097,   106407.93,    88761.00,          0.023236,     65.68,     53.73,               6.62, 1.0000,    True,    True, {"ff_name": "FF_UK0029_20210904_214813_496_0204288.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   105903.43,    98772.08,          0.029952,      9.41,     99.26,              95.77, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210904_214819_305_0223232.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,     UK0029,       1,  0.000000, 2459462.408577747643,  66.09988,  53.88531,               35.39002,  27.35375,        35.34884,       27.35842,     66.09988,     +53.88531,      66.14452,      +53.91114,  2415837.12, -3023890.36,  5188806.24,      53.461250,       -2.695865,  108896.56,  229489.85,       0.00,              746.19,  -566.22,      0.00,           80569.97,     94.61,   -113.39,         132.74,  +5.71,  +3.91
  1,     UK0029,       0,  0.040100, 2459462.408578211907,  66.30846,  53.81900,               35.32473,  27.22661,        35.32642,       27.22641,     66.30846,     +53.81900,      66.30680,      +53.81794,  2414625.89, -3025711.83,  5185213.51,      53.437606,       -2.726866,  106407.93,  225311.44,    4206.25,             3460.06,  -383.11, 104894.11,           80569.97,     -3.80,      4.61,           5.47,  +2.42,  +0.66
  2,     UK0029,       0,  0.080184, 2459462.408578675706,  66.38908,  53.73285,               35.34033,  27.12914,        35.30968,       27.13267,     66.38908,     +53.73285,      66.42266,      +53.75208,  2413790.05, -3026968.78,  5182734.26,      53.421274,       -2.748305,  104691.61,  222426.93,    7108.87,             6362.68,   -10.24,  72413.44,           80569.97,     68.23,    -82.13,          99.01,  +2.96,  +1.22
  3,     UK0029,       0,  0.120260, 2459462.408579139505,  66.50328,  53.67293,               35.32013,  27.04061,        35.29361,       27.04368,     66.50328,     +53.67293,      66.53256,      +53.68958,  2413015.65, -3028133.35,  5180437.23,      53.406132,       -2.768176,  103102.16,  219754.54,    9798.17,             9051.98,   149.81,  67104.87,           80569.97,     58.34,    -70.35,          85.78,  +2.42,  +0.71
  4,     UK0029,       0,  0.160312, 2459462.408579603303,  66.68179,  53.65558,               35.23685,  26.96327,        35.27801,       26.95819,     66.68179,     +53.65558,      66.63806,      +53.62953,  2412288.59, -3029226.72,  5178280.63,      53.391906,       -2.786838,  101610.54,  217245.66,   12323.04,            11576.85,   146.95,  63039.89,           75448.74,    -88.73,    108.84,         133.33,  +2.32,  +0.64
  5,     UK0029,       0,  0.200388, 2459462.408580067102,  66.72647,  53.56990,               35.27060,  26.87877,        35.26341,       26.87962,     66.72647,     +53.56990,      66.73511,      +53.57442,  2411634.16, -3030210.86,  5176339.49,      53.379093,       -2.803650,  100268.46,  214987.28,   14595.66,            13849.47,  -109.68,  56707.78,           71307.62,     15.45,    -18.74,          23.30,  +2.50,  +0.84
  6,     UK0029,       0,  0.240472, 2459462.408580530901,  66.82738,  53.49570,               35.26646,  26.78344,        35.24648,       26.78579,     66.82738,     +53.49570,      66.85008,      +53.50824,  2410871.36, -3031357.98,  5174076.87,      53.364148,       -2.823213,   98704.77,  212356.38,   17244.67,            16498.48,     9.58,  66086.33,           69268.79,     42.46,    -51.40,          64.76,  +2.21,  +0.57
  7,     UK0029,       0,  0.280532, 2459462.408580994699,  66.99099,  53.46278,               35.20097,  26.69892,        35.23002,       26.69536,     66.99099,     +53.46278,      66.96074,      +53.44445,  2410153.36, -3032437.72,  5171947.16,      53.350072,       -2.841634,   97233.55,  209880.22,   19738.07,            18991.87,   -25.26,  62241.60,           67833.95,    -60.67,     74.34,          94.30,  +1.99,  +0.38
  8,     UK0029,       0,  0.320596, 2459462.408581458032,  67.02866,  53.39491,               35.22605,  26.63104,        35.21759,       26.63205,     67.02866,     +53.39491,      67.03918,      +53.40022,  2409658.45, -3033181.98,  5170479.16,      53.340363,       -2.854381,   96219.77,  208171.88,   21456.75,            20710.56,  -835.06,  42898.42,           65502.44,     17.60,    -21.40,          27.45,  +2.62,  +1.03
  9,     UK0029,       0,  0.360696, 2459462.408581922296,  67.17115,  53.30854,               35.20704,  26.51101,        35.19663,       26.51226,     67.17115,     +53.30854,      67.18396,      +53.31506,  2408749.38, -3034549.06,  5167782.68,      53.322520,       -2.877651,   94358.46,  205039.62,   24613.70,            23867.50,  -208.88,  78726.90,           65037.12,     21.35,    -25.96,          33.81,  +1.63,  +0.07
 10,     UK0029,       0,  0.400768, 2459462.408582386095,  67.32466,  53.26014,               35.15659,  26.41761,        35.17899,       26.41485,     67.32466,     +53.26014,      67.30204,      +53.24603,  2408028.81, -3035632.66,  5165645.36,      53.308366,       -2.896125,   92883.79,  202556.30,   27116.01,            26369.81,  -235.56,  62445.34,           64665.52,    -45.27,     55.49,          72.92,  +2.63,  +1.10
 11,     UK0029,       0,  0.440824, 2459462.408582849894,  67.43626,  53.21822,               35.12421,  26.34428,        35.16459,       26.33924,     67.43626,     +53.21822,      67.39436,      +53.19275,  2407479.86, -3036458.19,  5164017.06,      53.297576,       -2.910237,   91760.71,  200663.39,   29022.36,            28276.17,  -857.19,  47592.30,           63794.81,    -80.67,     99.35,         131.55,  +1.75,  +0.24
 12,     UK0029,       0,  0.480912, 2459462.408583313692,  67.55879,  53.14508,               35.10633,  26.24189,        35.14612,       26.23691,     67.55879,     +53.14508,      67.51768,      +53.12000,  2406755.11, -3037548.09,  5161867.31,      53.283324,       -2.928812,   90278.55,  198166.76,   31539.22,            30793.03,  -870.33,  62783.39,           63235.16,    -78.55,     96.78,         129.74,  +2.12,  +0.63
 13,     UK0029,       0,  0.521008, 2459462.408583777957,  67.65518,  53.04949,               35.11705,  26.13056,        35.12682,       26.12936,     67.65518,     +53.04949,      67.64674,      +53.04336,  2406012.72, -3038664.50,  5159665.26,      53.268714,       -2.947830,   88761.00,  195610.22,   34117.31,            33371.12,  -822.75,  64297.86,           62913.75,    -19.12,     23.41,          31.87,  +3.11,  +1.65
  0,     UK002Z,       0,  0.042270, 2459462.408578252885, 244.45024,  24.27123,              266.69723,  33.14445,       266.66210,       33.16611,    244.45024,     +24.27123,     244.49038,      +24.26854,  2414380.25, -3026081.24,  5184484.88,      53.432807,       -2.733133,  105903.43,  189974.06,       0.00,             4313.12,   332.97,      0.00,           64464.71,   -120.58,     11.31,         131.49,  +3.94,  +2.55
  1,     UK002Z,       0,  0.082538, 2459462.408578719012, 244.46395,  23.82416,              266.33969,  32.81267,       266.34958,       32.80659,    244.46395,     +23.82416,     244.45307,      +23.82492,  2413953.32, -3026723.26,  5183218.54,      53.424465,       -2.744166,  105026.79,  190164.46,    1482.59,             5795.70,  -725.80,  36817.99,           64464.71,     34.04,     -3.22,          37.08,  +5.11,  +3.71
  2,     UK002Z,       0,  0.163726, 2459462.408579658717, 244.36222,  21.97996,              265.02404,  31.34052,       265.07643,       31.30861,    244.36222,     +21.97996,     244.30380,      +21.98397,  2412169.30, -3029406.10,  5177926.81,      53.389571,       -2.789892,  101365.88,  191062.96,    7677.97,            11991.09,   345.71,  76309.13,           64464.71,    182.45,    -17.38,         197.86,  +4.33,  +2.92
  3,     UK002Z,       0,  0.204194, 2459462.408580127172, 244.25313,  21.31115,              264.61819,  30.76027,       264.62183,       30.75806,    244.25313,     +21.31115,     244.24989,      +21.31143,  2411513.40, -3030392.47,  5175981.27,      53.376727,       -2.806742,  100020.86,  191445.34,    9955.75,            14268.86,    69.50,  56285.79,           64464.71,     12.73,     -1.20,          13.77,  +1.99,  +0.58
  4,     UK002Z,       0,  0.244602, 2459462.408580594696, 244.20270,  20.68896,              264.20295,  30.24905,       264.20593,       30.24723,    244.20270,     +20.68896,     244.20036,      +20.68918,  2410904.21, -3031308.58,  5174174.31,      53.364792,       -2.822401,   98772.08,  191824.80,   12071.27,            16384.39,  -365.17,  52354.16,           62621.49,     10.51,     -0.99,          11.35,  +1.19,  -0.22

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.