Orbital Analysis for matched events on 20210904_024027.889_UK

Summary for Event
-----------------
shower ID 208 SPE
Lg 51.00° Bg 22.61° Vg 59.20km/s
mass 0.01900g, abs. mag -0.7
Path Details
------------
start -2.49° 51.52° 109.00km
end   -2.53° 51.54° 97.64km

Orbit Details
-------------
Semimajor axis 2.28A.U., eccentricity 0.71, inclination 133.57°, Period 3.43Y, LA Sun 161.51°, last Perihelion 2018-05-15

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: 2459461.611433901824
Time: 2021-09-04 02:40:27.889118 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK000S
 Convergence angle = 62.16692 deg
 R.A. =  41.83765  Dec = +39.78117 deg

Best intersection: Stations UK0006 and UK000S with Qconv = 62.17 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3774234.85 +/- 48.18 m
 Y =   1454426.07 +/- 21.09 m
 Z =   5055109.40 +/- 28.73 m
 Vx =    34781.12 +/- 310.98 m/s
 Vy =    30468.89 +/- 337.07 m/s
 Vz =    38595.97 +/- 198.88 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.481752e+03, -8.134358e+02, +1.161501e+03, +1.420928e+04, -7.683790e+03, +4.293276e+03
-8.134358e+02, +4.744219e+02, -4.912320e+02, -4.345884e+03, +2.787097e+03, -2.701938e+03
+1.161501e+03, -4.912320e+02, +8.751897e+02, +7.061777e+03, -4.652358e+03, +4.457666e+03
+1.420928e+04, -4.345884e+03, +7.061777e+03, +9.516688e+04, -5.316814e+04, +3.046256e+04
-7.683790e+03, +2.787097e+03, -4.652358e+03, -5.316814e+04, +3.217038e+04, -2.386430e+04
+4.293276e+03, -2.701938e+03, +4.457666e+03, +3.046256e+04, -2.386430e+04, +2.944399e+04

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK000S: -0.000127 s

Reference point on the trajectory:
  Time: 2021-09-04 02:40:27.889118 UTC
  Lon     = +-2.485839 +/- 0.0005 deg
  Lat     = +51.519885 +/- 0.0002 deg
  Lat geo = +51.335442 +/- 0.0002 deg
  Ht      =  109004.23 +/- 44.04 m

  JD dynamic   = 2459461.612234642729 
  LST apparent = 21.0744943617 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  41.21895 +/- 0.4054 deg
  Dec       = +39.85172 +/- 0.1198 deg
  Azimuth   = 122.04227 +/- 0.7178 deg
  Elevation = +71.82591 +/- 0.2432 deg
  Vavg      =  58.76542 +/- 0.1706 km/s
  Vinit     =  60.23063 +/- 0.1595 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  41.56131 +/- 0.4054 deg
  Dec       = +39.78938 +/- 0.1198 deg
  Azimuth   = 121.57129 +/- 0.7178 deg
  Elevation = +71.59966 +/- 0.2432 deg
  Vavg      =  58.84407 +/- 0.1706 km/s
  Vinit     =  60.30928 +/- 0.1595 km/s
Radiant (geocentric, J2000):
  R.A.   =  41.01717 +/- 0.4085 deg
  Dec    = +39.64745 +/- 0.1211 deg
  Vg     =  59.19963 +/- 0.1623 km/s
  Vinf   =  60.23063 +/- 0.1595 km/s
  Zc     =  18.07688 +/- 0.2447 deg
  Zg     =  18.23424 +/- 0.2478 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  50.99985 +/- 0.3193 deg
  Bg     = +22.60784 +/- 0.1630 deg
  Vh     =  37.00405 +/- 0.2708 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  29.40382 +/- 0.4921 deg
  Bh     = +37.95585 +/- 0.1713 deg
  Vh_x   = -25.41857 +/- 0.2982 km/s
  Vh_y   = -14.32486 +/- 0.1136 km/s
  Vh_z   = -22.75949 +/- 0.2117 km/s
Orbit:
  La Sun = 161.505398 +/- -0.0000 deg
  a      =   2.275301 +/- 0.0982 AU
  e      =   0.709099 +/- 0.0149
  i      = 133.566626 +/- 0.2727 deg
  peri   = 260.120549 +/- 0.7620 deg
  node   = 161.505071 +/- 0.0000 deg
  Pi     =  61.625620 +/- 0.7620 deg
  q      =   0.661888 +/- 0.0036 AU
  f      = 279.876579 +/- 0.7620 deg
  M      = 346.895119 +/- 1.2529 deg
  Q      =   3.888713 +/- 0.1967 AU
  n      =   0.287175 +/- 0.0228 deg/day
  T      =   3.432091 +/- 0.2138 years
  Last perihelion JD = 2458253.653017 (2018-05-15 03:40:20.710668) +/- 78.6543 days
  Tj     =   1.644645 +/- 0.1159
Shower association:
  IAU No.  =  208
  IAU code =  SPE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.372015e-04, -8.108953e-06, -1.242750e+00, +4.810762e-09, -1.561324e-04, -6.858379e-05
q   , -8.108953e-06, +1.378345e-05, +1.437485e-02, +3.519672e-10, -2.838237e-05, -5.021896e-06
Tp  , -1.242750e+00, +1.437485e-02, +6.589385e+03, -2.621188e-05, +8.871637e-01, +3.737870e-01
node, +4.810762e-09, +3.519672e-10, -2.621188e-05, +1.180005e-13, -4.459682e-09, -1.682063e-09
peri, -1.561324e-04, -2.838237e-05, +8.871637e-01, -4.459682e-09, +1.870136e-04, +6.358345e-05
i   , -6.858379e-05, -5.021896e-06, +3.737870e-01, -1.682063e-09, +6.358345e-05, +2.397790e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 116.484202

Mean time residuals from time vs. length:
  Station with reference time: UK0006
  Avg. res. = 1.016e-05 s
  Stddev    = 3.19e-03 s

Begin point on the trajectory:
  Lon =    -2.485875 +/- 0.0005 deg
  Lat =    51.519899 +/- 0.0002 deg
  Ht  = 108995.11 +/- 45.09 m
End point on the trajectory:
  Lon =    -2.531587 +/- 0.0003 deg
  Lat =    51.537401 +/- 0.0001 deg
  Ht  = 97638.73 +/- 28.51 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108995.11,    97638.73,          0.005508,     10.79,      7.90,              51.63, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20210904_024024_224_0654080.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   106901.17,    97832.57,          0.017484,     23.42,     34.47,              56.30, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210904_024022_887_0654848.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,     UK0006,       0,  0.000000, 2459461.611433901824, 342.07732,  25.01143,              244.10937,  49.46759,       244.10536,       49.46664,    342.07732,     +25.01143,     342.07895,      +25.00908,  3774229.32,  1454421.21,  5055103.25,      51.519899,       -2.485875,  108995.11,  142438.79,       0.00,                9.59,   155.13,      0.00,           59698.68,     -4.08,      5.56,           9.99,  +2.20,  +1.43
  1,     UK0006,       0,  0.040596, 2459461.611434371676, 341.40432,  24.61478,              244.47568,  48.77982,       244.48576,       48.78221,    341.40432,     +24.61478,     341.40032,      +24.62074,  3772906.65,  1453262.54,  5053635.51,      51.523249,       -2.494626,  106818.92,  141019.11,    2290.47,             2300.06,     0.48,  56420.98,           59698.68,     10.26,    -14.02,          25.41,  +0.06,  -0.69
  2,     UK0006,       0,  0.081204, 2459461.611434841529, 340.71252,  24.21820,              244.85976,  48.08045,       244.86396,       48.08144,    340.71252,     +24.21820,     340.71110,      +24.22071,  3771581.57,  1452101.74,  5052165.09,      51.526607,       -2.503400,  104638.81,  139620.10,    4585.12,             4594.71,  -150.72,  56507.35,           59698.68,      4.29,     -5.85,          10.72,  -0.57,  -1.29
  3,     UK0006,       0,  0.121948, 2459461.611435313243, 339.88302,  23.72011,              245.29611,  47.22242,       245.31083,       47.22589,    339.88302,     +23.72011,     339.87722,      +23.72898,  3770000.52,  1450716.71,  5050410.64,      51.530616,       -2.513846,  102037.66,  137980.99,    7323.02,             7332.61,   133.15,  67197.77,           59698.68,     15.06,    -20.57,          38.10,  -0.79,  -1.49
  4,     UK0006,       0,  0.162588, 2459461.611435783561, 339.16127,  23.29968,              245.68458,  46.48471,       245.68585,       46.48501,    339.16127,     +23.29968,     339.16140,      +23.30045,  3768664.11,  1449546.00,  5048927.65,      51.534006,       -2.522710,   99839.06,  136624.15,    9637.29,             9646.88,    -0.36,  56945.47,           59793.18,      1.30,     -1.78,           3.32,  -0.75,  -1.43
  5,     UK0006,       0,  0.203252, 2459461.611436254345, 338.43567,  22.85832,              246.05596,  45.72702,       246.05823,       45.72755,    338.43567,     +22.85832,     338.43551,      +22.85971,  3767326.61,  1448374.32,  5047443.45,      51.537401,       -2.531587,   97638.73,  135292.30,   11953.44,            11963.03,  -133.42,  56958.36,           59415.07,      2.33,     -3.18,           6.02,  +1.08,  +0.42
  0,     UK000S,       0,  0.039131, 2459461.611434070393, 301.30275,  68.50938,              326.23243,  49.45616,       326.22528,       49.45686,    301.30275,     +68.50938,     301.30830,      +68.50513,  3772956.65,  1453306.33,  5053690.99,      51.523123,       -2.494193,  106901.17,  139808.44,       0.00,             2213.48,     2.14,      0.00,           62616.06,     -9.49,     -6.45,          16.93,  +4.19,  +3.46
  1,     UK000S,       0,  0.079723, 2459461.611434540246, 299.38837,  68.12860,              326.00688,  48.66668,       326.03802,       48.66362,    299.38837,     +68.12860,     299.36314,      +68.14711,  3771621.40,  1452136.63,  5052209.29,      51.526506,       -2.503033,  104704.33,  138559.63,    2312.26,             4525.74,  -130.48,  56963.40,           62616.06,     41.59,     28.26,          74.85,  +0.88,  +0.17
  2,     UK000S,       0,  0.120379, 2459461.611435010564, 297.34308,  67.73331,              325.83662,  47.81004,       325.84323,       47.80939,    297.34308,     +67.73331,     297.33774,      +67.73723,  3770209.94,  1450900.17,  5050643.02,      51.530085,       -2.512375,  102382.19,  137269.40,    4756.48,             6969.96,  -135.00,  60119.64,           62616.06,      8.89,      6.04,          16.14,  +0.28,  -0.41
  3,     UK000S,       0,  0.161163, 2459461.611435482744, 295.00743,  67.17979,              325.57106,  46.77295,       325.61554,       46.76858,    295.00743,     +67.17979,     294.96687,      +67.20612,  3768524.88,  1449424.03,  5048773.14,      51.534360,       -2.523507,   99610.01,  135769.90,    7674.51,             9887.99,   326.58,  71548.35,           62616.06,     60.33,     40.99,         110.81,  +0.04,  -0.62
  4,     UK000S,       0,  0.201691, 2459461.611435951665, 293.48951,  66.83088,              325.45478,  46.08965,       325.46951,       46.08821,    293.48951,     +66.83088,     293.47613,      +66.83957,  3767444.44,  1448477.54,  5047574.20,      51.537102,       -2.530711,   97832.57,  134834.60,    9545.51,            11758.98,  -243.45,  46165.51,           60149.71,     20.08,     13.64,          37.14,  +2.13,  +1.48

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.