Orbital Analysis for matched events on 20211103_052024.559_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 145.15° Bg 26.99° Vg 62.58km/s
mass 0.01986g, abs. mag -0.5
best visual mag 1.1
Path Details
------------
start -1.66° 49.24° 108.64km
end   -1.75° 49.25° 97.35km

Orbit Details
-------------
Semimajor axis 3.93A.U., eccentricity 0.78, inclination 130.16°, Period 7.78Y, LA Sun 220.71°, last Perihelion 2021-10-03

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: 2459521.722506481223
Time: 2021-11-03 05:20:24.559978 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0025 and UK002D
 Convergence angle = 20.14394 deg
 R.A. = 157.95091  Dec = +36.65059 deg
Intersection 2 - Stations: UK0025 and UK003N
 Convergence angle = 42.17732 deg
 R.A. = 158.84320  Dec = +38.72011 deg
Intersection 3 - Stations: UK002D and UK003N
 Convergence angle = 22.05908 deg
 R.A. = 161.12766  Dec = +39.66115 deg

Best intersection: Stations UK0025 and UK003N with Qconv = 42.18 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2193821.70 +/- 114.61 m
 Y =   3631995.18 +/- 109.13 m
 Z =   4890348.04 +/- 59.73 m
 Vx =   -46486.38 +/- 186.40 m/s
 Vy =    18152.61 +/- 876.72 m/s
 Vz =    39351.31 +/- 788.93 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.388553e+04, -1.196907e+04, +3.910733e+02, +4.374700e+04, -6.483513e+04, +5.666138e+04
-1.196907e+04, +1.260483e+04, -1.270302e+03, -3.914893e+04, +7.907191e+04, -5.676064e+04
+3.910733e+02, -1.270302e+03, +3.899143e+03, +1.205891e+04, -1.164528e+04, +1.352510e+04
+4.374700e+04, -3.914893e+04, +1.205891e+04, +2.214834e+05, -3.061845e+05, +2.567328e+05
-6.483513e+04, +7.907191e+04, -1.164528e+04, -3.061845e+05, +7.925422e+05, -4.628297e+05
+5.666138e+04, -5.676064e+04, +1.352510e+04, +2.567328e+05, -4.628297e+05, +3.546489e+05

Timing offsets (from input data):
    UK0025: 0.000000 s
    UK002D: 0.000802 s
    UK003N: 0.001170 s

Reference point on the trajectory:
  Time: 2021-11-03 05:20:24.559978 UTC
  Lon     = +-1.661180 +/- 0.0007 deg
  Lat     = +49.240475 +/- 0.0011 deg
  Lat geo = +49.053256 +/- 0.0011 deg
  Ht      =  108586.29 +/- 103.01 m

  JD dynamic   = 2459521.723307222128 
  LST apparent = 121.1330928974 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 158.66970 +/- 0.8149 deg
  Dec       = +38.25669 +/- 0.7724 deg
  Azimuth   =  98.01767 +/- 1.9684 deg
  Elevation = +61.10884 +/- 0.3032 deg
  Vavg      =  61.73514 +/- 0.4847 km/s
  Vinit     =  63.55334 +/- 0.1992 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 158.95033 +/- 0.8149 deg
  Dec       = +38.15137 +/- 0.7724 deg
  Azimuth   =  97.93794 +/- 1.9684 deg
  Elevation = +60.86754 +/- 0.3032 deg
  Vavg      =  61.88375 +/- 0.4847 km/s
  Vinit     =  63.70195 +/- 0.1992 km/s
Radiant (geocentric, J2000):
  R.A.   = 158.59521 +/- 0.8234 deg
  Dec    = +38.24148 +/- 0.7764 deg
  Vg     =  62.57716 +/- 0.2023 km/s
  Vinf   =  63.55334 +/- 0.1992 km/s
  Zc     =  28.86559 +/- 0.3048 deg
  Zg     =  29.09384 +/- 0.3075 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 145.14899 +/- 0.4092 deg
  Bg     = +26.99394 +/- 0.9381 deg
  Vh     =  39.52920 +/- 0.2739 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 160.04424 +/- 1.0429 deg
  Bh     = +45.93478 +/- 1.3837 deg
  Vh_x   =  25.84095 +/- 0.4390 km/s
  Vh_y   =  -9.38274 +/- 0.6024 km/s
  Vh_z   = -28.40365 +/- 0.8326 km/s
Orbit:
  La Sun = 220.709170 +/- -0.0000 deg
  a      =   3.927640 +/- 0.5505 AU
  e      =   0.780936 +/- 0.0212
  i      = 130.157728 +/- 1.5775 deg
  peri   = 134.213384 +/- 1.1288 deg
  node   = 220.712027 +/- 0.0000 deg
  Pi     = 354.925411 +/- 1.1288 deg
  q      =   0.860403 +/- 0.0056 AU
  f      =  45.787796 +/- 1.1288 deg
  M      =   3.879885 +/- 0.5497 deg
  Q      =   6.994877 +/- 1.0997 AU
  n      =   0.126621 +/- 0.0169 deg/day
  T      =   7.783916 +/- 1.8114 years
  Last perihelion JD = 2459491.081651 (2021-10-03 13:57:34.634517) +/- 0.7083 days
  Tj     =   0.625173 +/- 0.1128
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.715602e-04, +1.899733e-05, +1.058210e-02, -7.711630e-07, +1.089046e-02, -2.998487e-02
q   , +1.899733e-05, +3.439239e-05, +3.638937e-03, -8.232987e-08, +6.632873e-03, -3.151853e-03
Tp  , +1.058210e-02, +3.638937e-03, +5.446699e-01, -2.215086e-05, +8.364322e-01, -8.563502e-01
node, -7.711630e-07, -8.232987e-08, -2.215086e-05, +1.825704e-09, -2.719802e-05, +7.009288e-05
peri, +1.089046e-02, +6.632873e-03, +8.364322e-01, -2.719802e-05, +1.392750e+00, -1.048232e+00
i   , -2.998487e-02, -3.151853e-03, -8.563502e-01, +7.009288e-05, -1.048232e+00, +2.692623e+00

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

Mean time residuals from time vs. length:
  Station with reference time: UK0025
  Avg. res. = 1.810e-06 s
  Stddev    = 1.35e-03 s

Begin point on the trajectory:
  Lon =    -1.660754 +/- 0.0007 deg
  Lat =    49.240436 +/- 0.0011 deg
  Ht  = 108644.09 +/- 86.30 m
End point on the trajectory:
  Lon =    -1.745102 +/- 0.0004 deg
  Lat =    49.248103 +/- 0.0012 deg
  Ht  = 97354.05 +/- 64.78 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
    UK0025,   False,    -2.949750,    50.877380,   82.00,   0.000000,   0.000000,   108644.09,    99793.86,          0.015374,     52.41,     33.27,              50.02, 0.5871,    True,   False, {"ff_name": "FF_UK0025_20211103_052020_642_1081856.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   107854.26,    97354.05,          0.010624,     29.21,     37.73,              64.04, 0.8083,    True,    True, {"ff_name": "FF_UK002D_20211103_052024_422_1080320.fits"}
    UK003N,   False,    -0.162561,    51.236425,  112.00,  23.644146,   0.000000,   106919.65,    97997.05,          0.020700,     25.86,     94.21,              77.34, 0.9520,    True,    True, {"ff_name": "FF_UK003N_20211103_052022_248_1099520.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,     UK0025,       0,  0.000000, 2459521.722506481223, 144.32178,  -8.55820,              152.64976,  26.89965,       152.62282,       26.88460,    144.32178,      -8.55820,     144.34947,       -8.56554, -2193869.99,  3632014.04,  4890388.92,      49.240436,       -1.660754,  108644.09,  232726.60,       0.00,               66.02,   244.35,      0.00,           62594.82,     61.71,    -97.19,         102.04,  +4.77,  +2.94
  1,     UK0025,       0,  0.040320, 2459521.722506947815, 144.22868,  -9.01688,              152.89822,  26.48785,       152.90217,       26.49005,    144.22868,      -9.01688,     144.22478,       -9.01580, -2192040.06,  3631299.46,  4888839.86,      49.241925,       -1.677090,  106453.78,  231077.89,    2501.77,             2435.75,    51.62,  62047.79,           62594.82,     -8.98,     14.17,          14.98,  +2.71,  +0.89
  2,     UK0025,       0,  0.080604, 2459521.722507413942, 144.09339,  -9.44471,              153.17911,  26.11708,       153.16846,       26.11115,    144.09339,      -9.44471,     144.10474,       -9.44763, -2190309.04,  3630623.51,  4887374.52,      49.243334,       -1.692563,  104382.05,  229532.35,    4868.32,             4802.30,  -142.01,  58746.73,           62594.82,     24.15,    -38.05,          40.50,  +1.79,  -0.01
  3,     UK0025,       0,  0.120944, 2459521.722507881001, 143.94849,  -9.95363,              153.49369,  25.67064,       153.48012,       25.66309,    143.94849,      -9.95363,     143.96308,       -9.95737, -2188294.79,  3629836.96,  4885669.44,      49.244971,       -1.710554,  101971.58,  227752.60,    7622.08,             7556.06,    48.01,  68263.76,           62594.82,     30.61,    -48.22,          51.72,  +1.41,  -0.38
  4,     UK0025,       0,  0.161260, 2459521.722508347593, 143.82665, -10.42338,              153.76916,  25.25448,       153.76416,       25.25171,    143.82665,     -10.42338,     143.83253,      -10.42476, -2186474.85,  3629126.29,  4884128.84,      49.246449,       -1.726838,   99793.86,  226160.99,   10110.19,            10044.17,   -26.10,  61715.11,           62857.90,     11.22,    -17.68,          19.10,  +1.77,  -0.00
  0,     UK002D,       0,  0.006490, 2459521.722506549675, 123.28677, -15.23761,              177.58809,  23.38030,       177.59557,       23.38463,    123.28677,     -15.23761,     123.27955,      -15.23346, -2193210.13,  3631756.37,  4889830.34,      49.240973,       -1.666607,  107854.26,  260317.70,       0.00,              836.10,   601.99,      0.00,           58165.86,    -29.16,     22.60,          29.23,  +4.64,  +2.56
  1,     UK002D,       0,  0.046770, 2459521.722507015802, 123.08036, -15.56954,              177.81392,  23.05364,       177.82227,       23.05847,    123.08036,     -15.56954,     123.07247,      -15.56490, -2191776.10,  3631196.39,  4888616.41,      49.242140,       -1.679448,  106137.86,  259431.19,    1960.52,             2796.62,     2.58,  48672.28,           58165.86,    -32.47,     25.16,          32.66,  +2.68,  +0.61
  2,     UK002D,       0,  0.087074, 2459521.722507482395, 122.82689, -15.93029,              178.08772,  22.69865,       178.07540,       22.69152,    122.82689,     -15.93029,     122.83923,      -15.93717, -2190175.94,  3630571.54,  4887261.86,      49.243442,       -1.693765,  104222.76,  258456.08,    4148.16,             4984.26,  -371.23,  54278.60,           58165.86,     47.87,    -37.06,          48.31,  +2.05,  -0.01
  3,     UK002D,       0,  0.127498, 2459521.722507950384, 122.51440, -16.43753,              178.42323,  22.19745,       178.41562,       22.19306,    122.51440,     -16.43753,     122.52236,      -16.44180, -2188024.02,  3629731.23,  4885440.23,      49.245191,       -1.712976,  101647.57,  257168.50,    7090.14,             7926.24,     1.67,  72777.92,           58165.86,     29.47,    -22.81,          29.89,  +1.70,  -0.35
  4,     UK002D,       0,  0.167882, 2459521.722508417442, 122.22601, -16.89201,              178.72904,  21.74750,       178.72081,       21.74275,    122.22601,     -16.89201,     122.23478,      -16.89665, -2186100.75,  3628980.20,  4883812.15,      49.246752,       -1.730177,   99346.25,  256040.94,    9719.52,            10555.62,    64.51,  65109.41,           60890.59,     31.82,    -24.63,          32.41,  +1.68,  -0.36
  5,     UK002D,       0,  0.208214, 2459521.722508884501, 121.96875, -17.28605,              178.99890,  21.35668,       178.98602,       21.34926,    121.96875,     -17.28605,     121.98227,      -17.29333, -2184435.68,  3628330.00,  4882402.65,      49.248103,       -1.745102,   97354.05,  255082.68,   11995.90,            12832.00,  -222.34,  56441.14,           61032.69,     49.66,    -38.43,          50.77,  +2.16,  +0.13
  0,     UK003N,       0,  0.031474, 2459521.722506833263,  97.50442, -12.99591,              206.53306,  22.14735,       206.49342,       22.12758,     97.50442,     -12.99591,      97.53482,      -13.02538, -2192429.29,  3631451.45,  4889169.35,      49.241609,       -1.673609,  106919.65,  270688.62,       0.00,             1903.62,    81.65,      0.00,           63390.64,    189.97,    -52.13,         150.11,  +2.99,  +0.83
  1,     UK003N,       0,  0.071870, 2459521.722507300787,  97.17848, -13.36483,              206.74596,  21.70260,       206.74280,       21.70102,     97.17848,     -13.36483,      97.18119,      -13.36719, -2190715.14,  3630782.09,  4887718.29,      49.243003,       -1.688931,  104868.06,  270164.71,    2343.49,             4247.11,  -142.16,  58012.97,           63390.64,     15.16,     -4.17,          12.00,  +1.50,  -0.66
  2,     UK003N,       0,  0.112294, 2459521.722507768776,  96.77442, -13.73838,              207.03283,  21.23083,       207.01936,       21.22412,     96.77442,     -13.73838,      96.78522,      -13.74847, -2188807.89,  3630037.32,  4886103.79,      49.244554,       -1.705972,  102585.59,  269604.07,    4950.96,             6854.58,  -103.77,  64502.94,           63390.64,     64.60,    -17.76,          51.26,  +1.43,  -0.72
  3,     UK003N,       0,  0.152746, 2459521.722508237232,  96.36339, -14.14261,              207.31357,  20.72701,       207.30719,       20.72383,     96.36339,     -14.14261,      96.36893,      -14.14741, -2186817.26,  3629259.99,  4884418.69,      49.246171,       -1.723765,  100203.57,  269044.53,    7672.44,             9576.05,    46.84,  67276.69,           63390.64,     30.60,     -8.41,          24.33,  +1.14,  -1.01
  4,     UK003N,       0,  0.193166, 2459521.722508704755,  95.98820, -14.52632,              207.56204,  20.25246,       207.57336,       20.25808,     95.98820,     -14.52632,      95.98028,      -14.51778, -2184973.11,  3628539.87,  4882857.59,      49.247667,       -1.740273,   97997.05,  268550.19,   10193.64,            12097.26,    -0.78,  62375.18,           63613.41,    -54.28,     14.94,          43.24,  +1.88,  -0.27

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.