Orbital Analysis for matched events on 20210929_032634.699_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 86.91° Bg 10.67° Vg 68.88km/s
mass 0.02736g, abs. mag -1.1
Path Details
------------
start -4.10° 48.33° 108.64km
end   -4.19° 48.35° 94.02km

Orbit Details
-------------
Semimajor axis 8.25A.U., eccentricity 0.89, inclination 161.04°, Period 23.69Y, LA Sun 185.92°, last Perihelion 1998-02-11

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: 2459486.643457174767
Time: 2021-09-29 03:26:34.699900 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK002D
 Convergence angle = 11.52410 deg
 R.A. =  86.02005  Dec = +33.74313 deg

Best intersection: Stations UK0021 and UK002D with Qconv = 11.52 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2437490.20 +/- 367.79 m
 Y =   3568000.58 +/- 381.66 m
 Z =   4822223.58 +/- 192.87 m
 Vx =     3491.21 +/- 2058.88 m/s
 Vy =    57601.62 +/- 2034.88 m/s
 Vz =    39202.97 +/- 2479.19 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.550508e+04, +9.581085e+04, -5.177603e+04, +2.611141e+05, +2.447039e+05, -1.335005e+05
+9.581085e+04, +9.853869e+04, -5.198246e+04, +2.737005e+05, +2.686850e+05, -1.364017e+05
-5.177603e+04, -5.198246e+04, +2.860939e+04, -1.405254e+05, -1.313499e+05, +7.353909e+04
+2.611141e+05, +2.737005e+05, -1.405254e+05, +1.472193e+06, +1.504877e+06, -7.229935e+05
+2.447039e+05, +2.686850e+05, -1.313499e+05, +1.504877e+06, +1.613339e+06, -7.233868e+05
-1.335005e+05, -1.364017e+05, +7.353909e+04, -7.229935e+05, -7.233868e+05, +3.909868e+05

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK002D: -0.002190 s

Reference point on the trajectory:
  Time: 2021-09-29 03:26:34.699900 UTC
  Lon     = +-4.100241 +/- 0.0012 deg
  Lat     = +48.325034 +/- 0.0046 deg
  Lat geo = +48.137043 +/- 0.0046 deg
  Ht      =  108714.39 +/- 209.07 m

  JD dynamic   = 2459486.644257915672 
  LST apparent = 55.6609477009 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  86.53157 +/- 1.8634 deg
  Dec       = +34.18989 +/- 1.7111 deg
  Azimuth   = 110.26180 +/- 5.1164 deg
  Elevation = +63.10076 +/- 0.2365 deg
  Vavg      =  68.18830 +/- 1.0490 km/s
  Vinit     =  69.76394 +/- 1.3011 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  86.79935 +/- 1.8634 deg
  Dec       = +34.11512 +/- 1.7111 deg
  Azimuth   = 110.06555 +/- 5.1164 deg
  Elevation = +62.88453 +/- 0.2365 deg
  Vavg      =  68.32262 +/- 1.0490 km/s
  Vinit     =  69.89826 +/- 1.3011 km/s
Radiant (geocentric, J2000):
  R.A.   =  86.33161 +/- 1.8748 deg
  Dec    = +34.06832 +/- 1.7186 deg
  Vg     =  68.87591 +/- 1.3173 km/s
  Vinf   =  69.76394 +/- 1.3011 km/s
  Zc     =  26.83467 +/- 0.2334 deg
  Zg     =  27.00977 +/- 0.2338 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  86.90836 +/- 1.6604 deg
  Bg     = +10.66999 +/- 1.6586 deg
  Vh     =  40.78611 +/- 1.3465 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.29718 +/- 2.4807 deg
  Bh     = +18.22344 +/- 3.0521 deg
  Vh_x   =  -7.19468 +/- 2.1219 km/s
  Vh_y   = -38.06651 +/- 1.4619 km/s
  Vh_z   = -12.75477 +/- 1.7836 km/s
Orbit:
  La Sun = 185.917009 +/- nan deg
  a      =   8.249194 +/- 32.8787 AU
  e      =   0.888090 +/- 0.1150
  i      = 161.037742 +/- 2.9731 deg
  peri   = 213.579214 +/- 3.1924 deg
  node   = 185.917238 +/- 0.0004 deg
  Pi     =  39.496452 +/- 3.1921 deg
  q      =   0.923168 +/- 0.0219 AU
  f      = 326.419049 +/- 3.1928 deg
  M      = 359.032920 +/- nan deg
  Q      =  15.575220 +/- 65.7536 AU
  n      =   0.041599 +/- 0.0361 deg/day
  T      =  23.692883 +/- 462634726.0247 years
  Last perihelion JD = 2450855.915283 (1998-02-11 09:58:00.432580) +/- 34018.3329 days
  Tj     =  -0.463756 +/- 0.7005
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.413093e-03, -7.458275e-04, -1.904970e+03, -1.737816e-07, +2.083314e-03, +1.980880e-03
q   , -7.458275e-04, +1.641562e-04, +3.240970e+02, +3.401554e-08, -5.065595e-04, -3.954873e-04
Tp  , -1.904970e+03, +3.240970e+02, +1.305018e+09, +7.133154e-02, -8.778754e+02, -7.790449e+02
node, -1.737816e-07, +3.401554e-08, +7.133154e-02, +7.502854e-12, -1.011754e-07, -8.679513e-08
peri, +2.083314e-03, -5.065595e-04, -8.778754e+02, -1.011754e-07, +1.612273e-03, +1.187937e-03
i   , +1.980880e-03, -3.954873e-04, -7.790449e+02, -8.679513e-08, +1.187937e-03, +1.009493e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 2.604971
 a2 = 21.699730

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 5.653e-06 s
  Stddev    = 2.38e-03 s

Begin point on the trajectory:
  Lon =    -4.100703 +/- 0.0011 deg
  Lat =    48.325148 +/- 0.0046 deg
  Ht  = 108641.25 +/- 224.22 m
End point on the trajectory:
  Lon =    -4.194254 +/- 0.0012 deg
  Lat =    48.347880 +/- 0.0035 deg
  Ht  = 94020.84 +/- 158.15 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.971006,  26.054439,   108641.25,    94020.84,          0.011142,     14.87,     53.30,              60.12, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210929_032627_517_0801280.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   8.542311,  15.923892,   107123.50,    94786.27,          0.027012,     82.90,    165.05,              72.29, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210929_032628_447_0812032.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,     UK0021,       0,  0.000000, 2459486.643457174767,  47.03694, -18.03521,              189.36782,  20.79624,       189.36564,       20.79509,     47.03694,     -18.03521,      47.03883,      -18.03657,  2437486.10,  3567932.87,  4822177.50,      48.325148,       -4.100703,  108641.25,  289984.02,       0.00,               82.01,     0.20,      0.00,           70159.92,     11.40,      3.18,           8.42,  +2.33,  +0.02
  1,     UK0021,       0,  0.040440, 2459486.643457642756,  46.71279, -18.45021,              189.64581,  20.34985,       189.63878,       20.34613,     46.71279,     -18.45021,      46.71932,      -18.45464,  2437341.93,  3565554.13,  4820558.56,      48.329140,       -4.117093,  106072.08,  288750.15,    2881.00,             2963.01,    59.95,  71241.37,           70159.92,     36.75,     10.27,          27.26,  +1.43,  -0.87
  2,     UK0021,       0,  0.080856, 2459486.643458110280,  46.41235, -18.85035,              189.89868,  19.91999,       189.89701,       19.91911,     46.41235,     -18.85035,      46.41412,      -18.85141,  2437206.05,  3563312.22,  4819032.74,      48.332903,       -4.132565,  103650.92,  287609.03,    5596.27,             5678.28,   -44.36,  67183.09,           70159.92,      8.71,      2.43,           6.48,  +0.94,  -1.35
  3,     UK0021,       0,  0.121312, 2459486.643458578736,  46.07409, -19.28394,              190.18209,  19.45201,       190.17852,       19.45013,     46.07409,     -19.28394,      46.07779,      -19.28620,  2437058.17,  3560872.35,  4817372.19,      48.336999,       -4.149403,  101016.21,  286391.15,    8551.32,             8633.33,    88.31,  73043.42,           70159.92,     18.57,      5.19,          13.89,  +0.69,  -1.59
  4,     UK0021,       0,  0.161736, 2459486.643459046725,  45.76415, -19.69267,              190.43723,  19.01111,       190.43975,       19.01244,     45.76415,     -19.69267,      45.76238,      -19.69106,  2436921.39,  3558615.66,  4815836.32,      48.340788,       -4.165004,   98579.55,  285287.58,   11284.49,            11366.50,     1.35,  67612.69,           69839.90,    -13.08,     -3.65,           9.82,  +0.64,  -1.64
  5,     UK0021,       0,  0.202136, 2459486.643459514249,  45.48663, -20.08535,              190.65965,  18.58924,       190.68355,       18.60182,     45.48663,     -20.08535,      45.46510,      -20.07004,  2436794.13,  3556515.93,  4814407.27,      48.344315,       -4.179544,   96312.55,  284280.74,   13827.58,            13909.59,  -274.03,  62947.62,           68764.73,   -123.85,    -34.54,          93.29,  +0.47,  -1.80
  6,     UK0021,       0,  0.242540, 2459486.643459981773,  45.16906, -20.46157,              190.92092,  18.17837,       190.93054,       18.18343,     45.16906,     -20.46157,      45.16098,      -20.45539,  2436665.46,  3554393.13,  4812962.51,      48.347880,       -4.194254,   94020.84,  283282.47,   16398.59,            16480.61,  -521.75,  63632.72,           67831.14,    -49.75,    -13.89,          37.61,  +0.69,  -1.57
  0,     UK002D,       0,  0.025002, 2459486.643457480241,  29.79912, -20.42512,              207.12832,  14.08952,       207.15913,       14.10514,     29.79912,     -20.42512,      29.77381,      -20.40116,  2437400.93,  3566527.64,  4821221.12,      48.327506,       -4.110394,  107123.50,  393034.72,       0.00,             1783.94,   -42.13,      0.00,           69057.89,   -206.68,   -103.83,         121.39,  +3.02,  +0.05
  1,     UK002D,       0,  0.065274, 2459486.643457946368,  29.45560, -20.72557,              207.34930,  13.70523,       207.37009,       13.71576,     29.45560,     -20.72557,      29.43867,      -20.70935,  2437246.40,  3563978.08,  4819485.92,      48.331785,       -4.127959,  104369.99,  392343.98,    3087.89,             4871.84,   236.22,  76675.92,           69057.89,   -139.35,    -70.05,          82.00,  +2.25,  -0.72
  2,     UK002D,       0,  0.105494, 2459486.643458412029,  29.16602, -20.96777,              207.53741,  13.39146,       207.54374,       13.39466,     29.16602,     -20.96777,      29.16114,      -20.96281,  2437119.44,  3561883.34,  4818060.26,      48.335301,       -4.142434,  102107.90,  391794.75,    5624.93,             7408.87,   -32.65,  63078.96,           69057.89,    -42.43,    -21.34,          25.00,  +1.48,  -1.49
  3,     UK002D,       0,  0.145770, 2459486.643458878156,  28.89035, -21.27789,              207.68965,  13.01685,       207.73491,       13.03975,     28.89035,     -21.27789,      28.85356,      -21.24238,  2436979.56,  3559575.49,  4816489.56,      48.339176,       -4.158378,   99615.89,  391207.33,    8420.07,            10204.02,   -47.31,  69399.79,           69057.89,   -303.19,   -152.23,         178.88,  +1.58,  -1.38
  4,     UK002D,       0,  0.185970, 2459486.643459343351,  28.57992, -21.49507,              207.90159,  12.72015,       207.90560,       12.72218,     28.57992,     -21.49507,      28.57729,      -21.49192,  2436854.81,  3557517.13,  4815088.67,      48.342633,       -4.172628,   97393.48,  390700.17,   10913.04,            12696.99,  -358.85,  62014.14,           67485.96,    -26.81,    -13.49,          15.85,  +1.20,  -1.76
  5,     UK002D,       0,  0.226238, 2459486.643459809478,  28.26071, -21.79475,              208.09319,  12.34218,       208.10558,       12.34845,     28.26071,     -21.79475,      28.25133,      -21.78497,  2436708.44,  3555102.16,  4813445.07,      48.346689,       -4.189334,   94786.27,  390123.75,   13837.93,            15621.87,  -243.22,  72635.51,           67772.64,    -82.90,    -41.70,          49.06,  +1.63,  -1.33

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.