Orbital Analysis for matched events on 20210929_233816.222_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 47.65° Bg 41.04° Vg 42.89km/s
mass 0.02643g, abs. mag -0.5
Path Details
------------
start 1.49° 52.45° 98.24km
end   1.46° 52.44° 89.78km

Orbit Details
-------------
Semimajor axis 3.13A.U., eccentricity 0.83, inclination 73.11°, Period 5.54Y, LA Sun 186.74°, last Perihelion 2016-04-29

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: 2459487.484909982421
Time: 2021-09-29 23:38:16.222481 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 9.60099 deg
 R.A. =  17.79632  Dec = +64.47308 deg
Intersection 2 - Stations: UK002K and UK003W
 Convergence angle = 71.06773 deg
 R.A. =  26.24193  Dec = +54.96144 deg
Intersection 3 - Stations: UK0032 and UK003W
 Convergence angle = 80.51818 deg
 R.A. =  28.66085  Dec = +56.04966 deg

Best intersection: Stations UK0032 and UK003W with Qconv = 80.52 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3940531.21 +/- 18.66 m
 Y =    345024.53 +/- 27.17 m
 Z =   5111160.29 +/- 45.88 m
 Vx =    22463.82 +/- 402.42 m/s
 Vy =    11058.70 +/- 257.03 m/s
 Vz =    36552.83 +/- 314.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.518738e+02, -1.715420e+02, -5.065254e+02, +4.367627e+03, +1.616787e+02, -3.960963e+02
-1.715420e+02, +8.105120e+02, +6.270618e+02, -3.876302e+03, +5.563685e+03, +2.126030e+03
-5.065254e+02, +6.270618e+02, +2.140605e+03, -1.449953e+04, +7.701528e+02, +2.003477e+03
+4.367627e+03, -3.876302e+03, -1.449953e+04, +1.472564e+05, -1.341752e+04, -2.251399e+04
+1.616787e+02, +5.563685e+03, +7.701528e+02, -1.341752e+04, +6.181556e+04, +2.000891e+04
-3.960963e+02, +2.126030e+03, +2.003477e+03, -2.251399e+04, +2.000891e+04, +9.049805e+03

Timing offsets (from input data):
    UK002K: 0.000209 s
    UK0032: 0.000340 s
    UK003W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 23:38:16.222481 UTC
  Lon     = ++1.490348 +/- 0.0004 deg
  Lat     = +52.446439 +/- 0.0003 deg
  Lat geo = +52.263150 +/- 0.0003 deg
  Ht      =   98249.42 +/- 31.58 m

  JD dynamic   = 2459487.485710723326 
  LST apparent = 5.0039352164 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  26.21054 +/- 0.6579 deg
  Dec       = +55.58924 +/- 0.3851 deg
  Azimuth   =  67.38312 +/- 1.5786 deg
  Elevation = +77.20560 +/- 0.3879 deg
  Vavg      =  44.25566 +/- 0.1222 km/s
  Vinit     =  44.30606 +/- 0.1778 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  26.82333 +/- 0.6579 deg
  Dec       = +55.47654 +/- 0.3851 deg
  Azimuth   =  68.01375 +/- 1.5786 deg
  Elevation = +76.86951 +/- 0.3879 deg
  Vavg      =  44.31552 +/- 0.1222 km/s
  Vinit     =  44.36593 +/- 0.1778 km/s
Radiant (geocentric, J2000):
  R.A.   =  26.22239 +/- 0.6689 deg
  Dec    = +55.50267 +/- 0.3906 deg
  Vg     =  42.89153 +/- 0.1836 km/s
  Vinf   =  44.30606 +/- 0.1778 km/s
  Zc     =  12.86598 +/- 0.3905 deg
  Zg     =  13.07557 +/- 0.3971 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  47.65094 +/- 0.6123 deg
  Bg     = +41.04228 +/- 0.2843 deg
  Vh     =  38.57542 +/- 0.2355 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 347.80827 +/- 0.5201 deg
  Bh     = +46.89800 +/- 0.4450 deg
  Vh_x   = -25.76407 +/- 0.3722 km/s
  Vh_y   =   5.56650 +/- 0.2447 km/s
  Vh_z   = -28.16539 +/- 0.0444 km/s
Orbit:
  La Sun = 186.743520 +/- 0.0000 deg
  a      =   3.130461 +/- 0.1828 AU
  e      =   0.828868 +/- 0.0119
  i      =  73.106544 +/- 0.4726 deg
  peri   = 271.505036 +/- 0.4248 deg
  node   = 186.744563 +/- 0.0000 deg
  Pi     =  98.249599 +/- 0.4248 deg
  q      =   0.535721 +/- 0.0047 AU
  f      = 268.493819 +/- 0.4248 deg
  M      = 352.281411 +/- 0.8335 deg
  Q      =   5.725200 +/- 0.3686 AU
  n      =   0.177948 +/- 0.0175 deg/day
  T      =   5.538766 +/- 0.4764 years
  Last perihelion JD = 2457507.791899 (2016-04-29 07:00:20.059222) +/- 174.3763 days
  Tj     =   1.914632 +/- 0.1022
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.498623e-04, -4.161824e-05, -2.181537e+00, +1.098555e-09, -1.190166e-05, -5.313119e-05
q   , -4.161824e-05, +2.389965e-05, +5.355380e-01, +2.343557e-10, -2.397827e-05, -1.128115e-05
Tp  , -2.181537e+00, +5.355380e-01, +3.263736e+04, -1.933877e-05, +3.268368e-01, +9.349799e-01
node, +1.098555e-09, +2.343557e-10, -1.933877e-05, +3.259411e-14, -1.278371e-09, -1.573895e-09
peri, -1.190166e-05, -2.397827e-05, +3.268368e-01, -1.278371e-09, +6.126670e-05, +6.171032e-05
i   , -5.313119e-05, -1.128115e-05, +9.349799e-01, -1.573895e-09, +6.171032e-05, +7.600017e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 33.503311
 a2 = -0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK003W
  Avg. res. = 3.364e-06 s
  Stddev    = 1.83e-03 s

Begin point on the trajectory:
  Lon =     1.490324 +/- 0.0004 deg
  Lat =    52.446433 +/- 0.0003 deg
  Ht  = 98241.32 +/- 29.83 m
End point on the trajectory:
  Lon =     1.463700 +/- 0.0004 deg
  Lat =    52.439880 +/- 0.0004 deg
  Ht  = 89777.52 +/- 23.54 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,  16.727365,   7.584128,    98109.14,    91132.59,          0.015109,     23.03,     47.38,              55.75, 0.6833,    True,    True, {"ff_name": "FF_UK002K_20210929_233809_534_0481536.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,  36.592423,   0.000000,    96875.86,    89777.52,          0.023519,     16.13,     59.34,              42.90, 0.4634,    True,    True, {"ff_name": "FF_UK0032_20210929_233816_856_0484352.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,  31.394475,   0.000000,    98241.32,    91398.52,          0.010634,     32.43,      4.01,              43.20, 0.4687,    True,    True, {"ff_name": "FF_UK003W_20210929_233808_604_0486144.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,     UK002K,       0,  0.003328, 2459487.484910180327,  43.03947,   1.32268,              133.23415,  28.31415,       133.25619,       28.31909,     43.03947,      +1.32268,      43.01990,       +1.31873,  3940458.27,   344988.62,  5111041.61,      52.446331,       +1.489851,   98109.14,  201616.89,       0.00,              143.86,   -10.04,      0.00,           43149.53,    -63.37,    -30.81,          72.09,  +3.46,  +1.94
  1,     UK002K,       0,  0.043652, 2459487.484910646919,  43.10016,   0.90140,              133.37872,  27.90806,       133.37761,       27.90782,     43.10016,      +0.90140,      43.10139,       +0.90160,  3939546.62,   344539.82,  5109558.18,      52.444975,       +1.484357,   96355.70,  200608.65,    1798.08,             1941.94,     1.45,  44590.89,           43149.53,      3.18,      1.55,           3.64,  +2.79,  +1.28
  2,     UK002K,       0,  0.083992, 2459487.484911113977,  43.18755,   0.47897,              133.49558,  27.48929,       133.49989,       27.49025,     43.18755,      +0.47897,      43.18410,       +0.47819,  3938630.49,   344088.83,  5108067.48,      52.443611,       +1.478834,   94593.67,  199606.71,    3604.98,             3748.84,    21.04,  44791.72,           43149.53,    -12.35,     -6.01,          14.19,  +1.94,  +0.44
  3,     UK002K,       0,  0.124300, 2459487.484911580104,  43.28312,   0.10673,              133.57901,  27.11220,       133.60824,       27.11874,     43.28312,      +0.10673,      43.25739,       +0.10144,  3937822.92,   343691.27,  5106753.41,      52.442409,       +1.473944,   93040.43,  198732.12,    5197.78,             5341.64,  -172.05,  39515.71,           43149.53,    -83.69,    -40.68,          96.58,  +1.50,  +0.01
  4,     UK002K,       0,  0.164660, 2459487.484912047628,  43.35013,  -0.36547,              133.73879,  26.65706,       133.74103,       26.65756,     43.35013,      -0.36547,      43.34886,       -0.36587,  3936830.97,   343202.94,  5105139.32,      52.440930,       +1.467972,   91132.59,  197671.79,    7154.24,             7298.09,    -3.79,  48475.09,           43907.06,     -6.38,     -3.10,           7.40,  +2.06,  +0.58
  0,     UK0032,       0,  0.034887, 2459487.484910592902,  48.19166,  15.28654,              119.80840,  38.55666,       119.83783,       38.56281,     48.19166,     +15.28654,      48.16838,      +15.27925,  3939817.06,   344672.96,  5109998.24,      52.445377,       +1.485957,   96875.86,  153609.43,       0.00,             1408.53,  -143.61,      0.00,           45288.21,    -61.65,    -16.67,          85.75,  +3.05,  +2.12
  1,     UK0032,       0,  0.075235, 2459487.484911059961,  48.31939,  14.79944,              120.01160,  38.08015,       120.00579,       38.07893,     48.31939,     +14.79944,      48.32445,      +14.80089,  3938835.97,   344189.98,  5108401.82,      52.443917,       +1.480055,   94988.87,  152208.51,    1935.04,             3343.57,     3.77,  47958.77,           45288.21,     12.14,      3.29,          17.05,  +1.92,  +1.01
  2,     UK0032,       0,  0.115575, 2459487.484911526553,  48.47571,  14.36209,              120.14829,  37.63014,       120.15909,       37.63239,     48.47571,     +14.36209,      48.46758,      +14.35940,  3937946.24,   343751.97,  5106954.06,      52.442592,       +1.474684,   93277.61,  150947.59,    3689.89,             5098.42,   -28.70,  43501.36,           45288.21,    -22.48,     -6.09,          31.83,  +1.45,  +0.56
  3,     UK0032,       0,  0.155907, 2459487.484911993612,  48.59496,  13.88811,              120.34541,  37.16806,       120.31827,       37.16239,     48.59496,     +13.88811,      48.61763,      +13.89489,  3937026.05,   343298.97,  5105456.75,      52.441221,       +1.469133,   91507.79,  149654.29,    5504.80,             6913.33,    -0.73,  44999.32,           45288.21,     56.36,     15.32,          80.49,  +1.74,  +0.86
  4,     UK0032,       0,  0.196247, 2459487.484912460670,  48.72612,  13.42080,              120.52292,  36.70492,       120.47468,       36.69484,     48.72612,     +13.42080,      48.76618,      +13.43290,  3936126.43,   342856.10,  5103992.89,      52.439880,       +1.463700,   89777.52,  148400.33,    7279.15,             8687.69,   -13.69,  43985.03,           44939.12,     99.89,     27.20,         143.90,  +4.83,  +3.97
  0,     UK003W,       0,  0.000000, 2459487.484909982421, 112.12825,  56.84994,               38.27838,  33.13808,        38.25203,       33.14139,    112.12825,     +56.84994,     112.15254,      +56.86787,  3940526.99,   345022.45,  5111153.44,      52.446433,       +1.490324,   98241.32,  176489.99,       0.00,                8.31,     1.86,      0.00,           45887.12,      8.44,    -68.20,          80.32,  +5.61,  +4.38
  1,     UK003W,       0,  0.040444, 2459487.484910450410, 112.69395,  56.64883,               38.18442,  32.77692,        38.18317,       32.77707,    112.69395,     +56.64883,     112.69529,      +56.64968,  3939709.08,   344619.80,  5109822.55,      52.445217,       +1.485377,   96668.18,  175337.76,    1613.19,             1621.50,  -176.87,  39886.95,           45887.12,      0.40,     -3.24,           3.83,  +2.57,  +1.35
  2,     UK003W,       0,  0.081020, 2459487.484910920262, 113.36481,  56.36622,               38.10387,  32.31615,        38.09790,       32.31690,    113.36481,     +56.36622,     113.37076,      +56.37026,  3938691.88,   344119.04,  5108167.36,      52.443703,       +1.479263,   94711.74,  173916.53,    3619.45,             3627.77,    31.64,  49444.67,           45887.12,      1.89,    -15.35,          18.34,  +1.37,  +0.17
  3,     UK003W,       0,  0.121580, 2459487.484911389649, 114.00818,  56.09187,               38.02291,  31.87066,        38.01604,       31.87153,    114.00818,     +56.09187,     114.01521,      +56.09651,  3937722.88,   343642.02,  5106590.62,      52.442260,       +1.473427,   92848.02,  172573.22,    5530.64,             5538.95,   145.77,  47119.99,           45887.12,      2.17,    -17.63,          21.23,  +0.95,  -0.23
  4,     UK003W,       0,  0.162016, 2459487.484911857639, 114.51411,  55.87709,               37.95407,  31.52023,        37.95126,       31.52059,    114.51411,     +55.87709,     114.51747,      +55.87899,  3936969.24,   343271.01,  5105364.31,      52.441137,       +1.468850,   91398.52,  171534.59,    7017.06,             7025.37,  -159.37,  36759.79,           44307.81,      0.88,     -7.18,           8.70,  +1.69,  +0.52

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.