Orbital Analysis for matched events on 20210929_041314.384_UK

Summary for Event
-----------------
shower ID 208 SPE
Lg 72.52° Bg 15.97° Vg 66.64km/s
mass 0.00224g, abs. mag 1.6
Path Details
------------
start -2.43° 50.33° 101.76km
end   -2.43° 50.35° 90.54km

Orbit Details
-------------
Semimajor axis -10.70A.U., eccentricity 1.06, inclination 147.75°, Period 1000000000.00Y, LA Sun 185.95°, 

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: 2459486.675860931631
Time: 2021-09-29 04:13:14.400989 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 25.79442 deg
 R.A. =  69.00517  Dec = +38.13264 deg
Intersection 2 - Stations: UK000H and UK0038
 Convergence angle = 48.08443 deg
 R.A. =  70.52941  Dec = +39.05059 deg
Intersection 3 - Stations: UK002D and UK0038
 Convergence angle = 22.30685 deg
 R.A. =  70.71903  Dec = +40.76866 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 48.08 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1483965.03 +/- 55.92 m
 Y =   3870790.77 +/- 69.93 m
 Z =   4965077.08 +/- 37.77 m
 Vx =    19155.83 +/- 465.72 m/s
 Vy =    49486.37 +/- 566.12 m/s
 Vz =    41807.79 +/- 608.16 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.508303e+03, +2.989878e+03, +1.025149e+03, +1.405591e+04, +1.809705e+04, +5.312901e+03
+2.989878e+03, +4.966457e+03, +2.353810e+03, +1.218626e+04, +1.980182e+04, +3.075611e+03
+1.025149e+03, +2.353810e+03, +1.613570e+03, +2.694216e+03, +5.539572e+03, +1.149049e+02
+1.405591e+04, +1.218626e+04, +2.694216e+03, +1.017881e+05, +1.137254e+05, +4.388804e+04
+1.809705e+04, +1.980182e+04, +5.539572e+03, +1.137254e+05, +1.429803e+05, +4.356580e+04
+5.312901e+03, +3.075611e+03, +1.149049e+02, +4.388804e+04, +4.356580e+04, +2.093630e+04

Timing offsets (from input data):
    UK000H: 0.000133 s
    UK002D: 0.000038 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:13:14.400989 UTC
  Lon     = +-2.434132 +/- 0.0004 deg
  Lat     = +50.326644 +/- 0.0004 deg
  Lat geo = +50.140423 +/- 0.0004 deg
  Ht      =  102605.60 +/- 76.92 m

  JD dynamic   = 2459486.676661863457 
  LST apparent = 69.0244172105 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  68.83892 +/- 0.2764 deg
  Dec       = +38.23340 +/- 0.2442 deg
  Azimuth   = 180.69546 +/- 1.0758 deg
  Elevation = +77.90604 +/- 0.2402 deg
  Vavg      =  63.94063 +/- 0.4484 km/s
  Vinit     =  67.55544 +/- 0.6185 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  69.16532 +/- 0.2764 deg
  Dec       = +38.23346 +/- 0.2442 deg
  Azimuth   = 179.47171 +/- 1.0758 deg
  Elevation = +77.90640 +/- 0.2402 deg
  Vavg      =  63.94053 +/- 0.4484 km/s
  Vinit     =  67.55535 +/- 0.6185 km/s
Radiant (geocentric, J2000):
  R.A.   =  68.47078 +/- 0.2773 deg
  Dec    = +38.10755 +/- 0.2449 deg
  Vg     =  66.63701 +/- 0.6274 km/s
  Vinf   =  67.55544 +/- 0.6185 km/s
  Zc     =  11.90776 +/- 0.2402 deg
  Zg     =  11.98955 +/- 0.2404 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  72.52177 +/- 0.2542 deg
  Bg     = +15.96708 +/- 0.2181 deg
  Vh     =  43.05786 +/- 0.6284 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  54.17712 +/- 0.1287 deg
  Bh     = +25.19994 +/- 0.4958 deg
  Vh_x   = -22.80253 +/- 0.4570 km/s
  Vh_y   = -31.58989 +/- 0.5590 km/s
  Vh_z   = -18.33310 +/- 0.1122 km/s
Orbit:
  La Sun = 185.948830 +/- 0.0000 deg
  a      = -10.700554 +/- 196.9095 AU
  e      =   1.060559 +/- 0.0382
  i      = 147.749809 +/- 0.5635 deg
  peri   = 251.705822 +/- 1.2052 deg
  node   = 185.949973 +/- 0.0000 deg
  Pi     =  77.655795 +/- 1.2052 deg
  q      =   0.648019 +/- 0.0031 AU
  f      = 288.293120 +/- 1.2051 deg
  M      =        nan +/- nan deg
  Q      = -22.049127 +/- 393.8188 AU
  n      =   0.028158 +/- 0.0125 deg/day
  T      = 1000000000.000000 +/- 471403104.1088 years
  Last perihelion JD = NaN 
  Tj     =  -1.343129 +/- 0.3240
Shower association:
  IAU No.  =  208
  IAU code =  SPE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.032101e-04, +6.379933e-05, -6.697909e+03, -5.490617e-09, -4.185163e-04, +1.681662e-04
q   , +6.379933e-05, +6.010041e-06, -6.191365e+02, -5.471568e-10, -3.839472e-05, +1.674627e-05
Tp  , -6.697909e+03, -6.191365e+02, +1.086761e+11, +5.224810e-02, +3.955511e+03, -1.590866e+03
node, -5.490617e-09, -5.471568e-10, +5.224810e-02, +5.519408e-14, +3.368981e-09, -1.687765e-09
peri, -4.185163e-04, -3.839472e-05, +3.955511e+03, +3.368981e-09, +2.499853e-04, -1.031744e-04
i   , +1.681662e-04, +1.674627e-05, -1.590866e+03, -1.687765e-09, -1.031744e-04, +5.161567e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.003648
 a2 = 62.381517

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 3.062e-06 s
  Stddev    = 1.75e-03 s

Begin point on the trajectory:
  Lon =    -2.434102 +/- 0.0004 deg
  Lat =    50.328251 +/- 0.0004 deg
  Ht  = 101758.24 +/- 43.49 m
End point on the trajectory:
  Lon =    -2.434474 +/- 0.0003 deg
  Lat =    50.349553 +/- 0.0002 deg
  Ht  = 90543.56 +/- 21.80 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   100940.40,    90730.79,          0.004644,      7.49,      6.43,              28.26, 0.2242,    True,    True, {"ff_name": "FF_UK000H_20210929_041311_574_0882432.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   101758.24,    91436.19,          0.013589,     16.23,     33.22,              39.34, 0.4018,    True,    True, {"ff_name": "FF_UK002D_20210929_041307_873_0881920.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.180839,  43.214495,   100393.06,    90543.56,          0.015164,      9.76,     38.58,              36.42, 0.3525,    True,    True, {"ff_name": "FF_UK0038_20210929_041308_570_0879616.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,     UK000H,       0,  0.026881, 2459486.675861386117,  46.25906,  18.70713,              218.60019,  52.88176,       218.60634,       52.88281,     46.25906,     +18.70713,      46.25606,      +18.70963,  1483482.13,  3869543.27,  4964023.14,      50.329802,       -2.434168,  100940.40,  125998.97,       0.00,             1703.00,    96.07,      0.00,           67145.97,     -5.53,     -6.43,          13.89,  +2.76,  +2.26
  1,     UK000H,       0,  0.067337, 2459486.675861854106,  45.87028,  18.29612,              218.87031,  52.35453,       218.85943,       52.35266,     45.87028,     +18.29612,      45.87608,      +18.29165,  1482759.87,  3867677.42,  4962446.81,      50.334527,       -2.434247,   98449.83,  123753.80,    2547.13,             4250.13,   -89.82,  62960.54,           67145.97,      9.71,     11.31,          24.84,  +2.19,  +1.73
  2,     UK000H,       0,  0.107861, 2459486.675862323493,  45.44446,  17.80956,              219.13779,  51.74331,       219.14171,       51.74399,     45.44446,     +17.80956,      45.44288,      +17.81119,  1481962.11,  3865616.53,  4960705.70,      50.339751,       -2.434317,   95698.96,  121287.31,    5360.52,             7063.53,   -14.04,  69425.33,           67145.97,     -3.48,     -4.05,           9.08,  +1.98,  +1.56
  3,     UK000H,       0,  0.148397, 2459486.675862792414,  44.99765,  17.32073,              219.42941,  51.12093,       219.42315,       51.11985,     44.99765,     +17.32073,      45.00152,      +17.31810,  1481177.25,  3863588.95,  4958992.73,      50.344894,       -2.434389,   92992.59,  118875.79,    8128.44,             9831.44,    15.44,  68282.80,           67145.97,      5.50,      6.41,          14.66,  +1.26,  +0.88
  4,     UK000H,       0,  0.188865, 2459486.675863260869,  44.61518,  16.89259,              219.66953,  50.57876,       219.66234,       50.57753,     44.61518,     +16.89259,      44.61974,      +16.88955,  1480521.31,  3861894.43,  4957561.14,      50.349196,       -2.434476,   90730.79,  116873.27,   10441.68,            12144.69,  -405.15,  57162.39,           65340.86,      6.28,      7.32,          17.03,  +2.37,  +2.03
  0,     UK002D,       0,  0.013112, 2459486.675861122552,  53.01415,   2.26256,              201.59328,  38.95723,       201.59958,       38.95780,     53.01415,      +2.26256,      53.00951,       +2.26425,  1483719.30,  3870155.97,  4964540.77,      50.328251,       -2.434102,  101758.24,  159744.87,       0.00,              866.59,   189.83,      0.00,           67209.94,    -12.37,     -6.03,          17.77,  +3.09,  +2.07
  1,     UK002D,       0,  0.053532, 2459486.675861590542,  52.80483,   1.78002,              201.71153,  38.43945,       201.68287,       38.43682,     52.80483,      +1.78002,      52.82624,       +1.77227,  1483065.89,  3868467.99,  4963114.71,      50.332525,       -2.434190,   99505.09,  157958.49,    2304.32,             3170.91,  -236.45,  57009.28,           67209.94,     55.98,     27.36,          81.36,  +2.65,  +1.66
  2,     UK002D,       0,  0.094124, 2459486.675862060394,  52.57577,   1.09730,              201.79371,  37.72227,       201.79344,       37.72224,     52.57577,      +1.09730,      52.57631,       +1.09722,  1482192.69,  3866212.19,  4961208.93,      50.338241,       -2.434251,   96494.05,  155591.28,    5383.78,             6250.37,   100.80,  75863.76,           67209.94,      0.52,      0.26,           0.77,  +3.03,  +2.07
  3,     UK002D,       0,  0.134640, 2459486.675862529315,  52.33797,   0.50130,              201.91041,  37.08731,       201.89085,       37.08552,     52.33797,      +0.50130,      52.35324,       +0.49592,  1481436.55,  3864258.80,  4959558.64,      50.343195,       -2.434326,   93886.68,  153562.28,    8050.42,             8917.01,    30.37,  65817.00,           67209.94,     37.82,     18.48,          56.55,  +1.54,  +0.61
  4,     UK002D,       0,  0.175144, 2459486.675862997770,  52.12610,  -0.07975,              201.99823,  36.47286,       201.98354,       36.47151,     52.12610,      -0.07975,      52.13796,       -0.08382,  1480725.88,  3862422.91,  4958007.61,      50.347854,       -2.434407,   91436.19,  151673.52,   10556.65,            11423.25,  -199.66,  61876.27,           66292.80,     28.29,     13.82,          42.82,  +2.41,  +1.51
  0,     UK0038,       1,  0.000000, 2459486.675860931631,  67.64369,   2.27162,              181.89785,  40.89542,       181.94226,       40.89566,     67.64369,      +2.27162,      67.61003,       +2.27256,  1483954.33,  3870763.15,  4965053.74,      50.326714,       -2.434062,  102568.72,  154796.00,       0.00,               37.71,   246.71,      0.00,           68788.68,    -87.93,    -22.27,         120.87,  +5.56,  +4.61
  1,     UK0038,       0,  0.040400, 2459486.675861399155,  67.61873,   1.78247,              181.91731,  40.40586,       181.95308,       40.40605,     67.61873,      +1.78247,      67.59159,       +1.78323,  1483323.40,  3869133.22,  4963676.72,      50.330840,       -2.434153,  100393.06,  153001.28,    2225.06,             2262.77,  -257.47,  55075.84,           68788.68,    -70.53,    -17.86,          98.08,  +2.44,  +1.52
  2,     UK0038,       0,  0.080988, 2459486.675861869007,  67.56242,   1.05708,              181.97075,  39.67944,       181.96621,       39.67941,     67.56242,      +1.05708,      67.56618,       +1.05697,  1482413.37,  3866782.28,  4961690.56,      50.336796,       -2.434209,   97255.00,  150432.76,    5434.41,             5472.12,   209.94,  79071.33,           68788.68,      8.90,      2.25,          12.59,  +2.45,  +1.56
  3,     UK0038,       0,  0.121520, 2459486.675862338394,  67.53865,   0.40652,              181.98336,  39.02852,       181.97852,       39.02849,     67.53865,      +0.40652,      67.54284,       +0.40641,  1481623.63,  3864742.12,  4959966.96,      50.341969,       -2.434281,   94531.81,  148224.05,    8219.51,             8257.22,   256.87,  68713.46,           68788.68,      9.42,      2.38,          13.52,  +2.11,  +1.26
  4,     UK0038,       0,  0.161948, 2459486.675862805918,  67.52814,  -0.11156,              181.98248,  38.51033,       181.98951,       38.51037,     67.52814,      -0.11156,      67.52324,       -0.11140,  1481011.37,  3863160.43,  4958630.70,      50.345982,       -2.434373,   92420.60,  146525.26,   10378.72,            10416.43,  -315.04,  53408.97,           66054.47,    -13.64,     -3.45,          19.81,  +1.96,  +1.13
  5,     UK0038,       0,  0.202328, 2459486.675863273442,  67.48542,  -0.58138,              182.02381,  38.03970,       182.00003,       38.03955,     67.48542,      -0.58138,      67.50492,       -0.58193,  1480467.02,  3861754.17,  4957442.64,      50.349553,       -2.434474,   90543.56,  145025.21,   12298.44,            12336.15, -1123.21,  47541.41,           62636.31,     45.96,     11.63,          67.43,  +4.94,  +4.13

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.