Orbital Analysis for matched events on 20210929_035204.709_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 92.35° Bg 16.41° Vg 57.05km/s
mass 0.01769g, abs. mag -0.4
Path Details
------------
start 1.40° 52.32° 112.52km
end   1.35° 52.34° 103.98km

Orbit Details
-------------
Semimajor axis 1.01A.U., eccentricity 0.13, inclination 147.07°, Period 1.02Y, LA Sun 185.93°, last Perihelion 2020-12-11

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: 2459486.661165615544
Time: 2021-09-29 03:52:04.709183 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002C
 Convergence angle = 16.77498 deg
 R.A. =  94.30224  Dec = +40.65235 deg

Best intersection: Stations UK000C and UK002C with Qconv = 16.77 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1518065.62 +/- 316.79 m
 Y =   3674040.49 +/- 93.36 m
 Z =   5113906.95 +/- 319.62 m
 Vx =    -2432.01 +/- 3219.04 m/s
 Vy =    44485.71 +/- 3618.79 m/s
 Vz =    37326.99 +/- 3501.05 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.766084e+04, -2.434924e+04, -9.457513e+04, +8.754362e+05, -2.143408e+05, -8.765872e+05
-2.434924e+04, +8.910837e+03, +2.417972e+04, -1.909477e+05, +5.564877e+04, +1.878049e+05
-9.457513e+04, +2.417972e+04, +9.979778e+04, -8.596839e+05, +1.982559e+05, +9.088206e+05
+8.754362e+05, -1.909477e+05, -8.596839e+05, +1.137451e+07, -2.641088e+06, -1.118996e+07
-2.143408e+05, +5.564877e+04, +1.982559e+05, -2.641088e+06, +6.936741e+05, +2.460077e+06
-8.765872e+05, +1.878049e+05, +9.088206e+05, -1.118996e+07, +2.460077e+06, +1.146089e+07

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK002C: -0.000566 s
    UK002F: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 03:52:04.709183 UTC
  Lon     = ++1.396542 +/- 0.0047 deg
  Lat     = +52.323276 +/- 0.0021 deg
  Lat geo = +52.140184 +/- 0.0021 deg
  Ht      =  112451.26 +/- 227.46 m

  JD dynamic   = 2459486.661966356449 
  LST apparent = 67.5502242806 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  93.12921 +/- 4.2975 deg
  Dec       = +39.95719 +/- 2.1242 deg
  Azimuth   = 115.05286 +/- 10.4830 deg
  Elevation = +68.57265 +/- 0.9908 deg
  Vavg      =  57.15911 +/- 2.7931 km/s
  Vinit     =  58.12226 +/- 2.8432 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  93.46453 +/- 4.2975 deg
  Dec       = +39.87760 +/- 2.1242 deg
  Azimuth   = 114.72567 +/- 10.4830 deg
  Elevation = +68.33175 +/- 0.9908 deg
  Vavg      =  57.25569 +/- 2.7931 km/s
  Vinit     =  58.21884 +/- 2.8432 km/s
Radiant (geocentric, J2000):
  R.A.   =  92.93974 +/- 4.3085 deg
  Dec    = +39.82621 +/- 2.1598 deg
  Vg     =  57.05369 +/- 2.8966 km/s
  Vinf   =  58.12226 +/- 2.8432 km/s
  Zc     =  21.35043 +/- 1.0123 deg
  Zg     =  21.55084 +/- 1.0059 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  92.35322 +/- 3.4558 deg
  Bg     = +16.41253 +/- 2.1892 deg
  Vh     =  29.91419 +/- 3.0101 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  87.02889 +/- 7.9923 deg
  Bh     = +32.61357 +/- 3.0668 deg
  Vh_x   =  -1.30605 +/- 3.3479 km/s
  Vh_y   = -25.16359 +/- 2.1439 km/s
  Vh_z   = -16.12286 +/- 2.8509 km/s
Orbit:
  La Sun = 185.934399 +/- nan deg
  a      =   1.012462 +/- 0.2548 AU
  e      =   0.130849 +/- 0.1040
  i      = 147.070087 +/- 2.3908 deg
  peri   = 272.916806 +/- 57.6504 deg
  node   = 185.935389 +/- 0.0001 deg
  Pi     =  98.852196 +/- 57.6503 deg
  q      =   0.879983 +/- 0.1998 AU
  f      = 267.082002 +/- 57.6505 deg
  M      = 282.088804 +/- 44.0388 deg
  Q      =   1.144941 +/- 0.3531 AU
  n      =   0.967467 +/- 0.2942 deg/day
  T      =   1.018753 +/- 0.4128 years
  Last perihelion JD = 2459195.087190 (2020-12-11 14:05:33.186297) +/- 175.9876 days
  Tj     =   4.406159 +/- 1.1396
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.235984e-02, -1.271204e-02, +3.727965e+00, -1.001301e-07, +1.549282e-02, +2.185808e-03
q   , -1.271204e-02, +4.046112e-02, -1.915665e+01, +3.296486e-07, -1.691748e-01, -7.788260e-03
Tp  , +3.727965e+00, -1.915665e+01, +2.943783e+04, -1.833000e-04, +9.382990e+01, +4.530595e+00
node, -1.001301e-07, +3.296486e-07, -1.833000e-04, +3.113354e-12, -1.401528e-06, -7.342568e-08
peri, +1.549282e-02, -1.691748e-01, +9.382990e+01, -1.401528e-06, +8.890648e-01, +3.402800e-02
i   , +2.185808e-03, -7.788260e-03, +4.530595e+00, -7.342568e-08, +3.402800e-02, +1.740911e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000011
 a2 = 107.194665

Mean time residuals from time vs. length:
  Station with reference time: UK000C
  Avg. res. = 2.639e-06 s
  Stddev    = 1.62e-03 s

Begin point on the trajectory:
  Lon =     1.396908 +/- 0.0047 deg
  Lat =    52.323172 +/- 0.0020 deg
  Ht  = 112522.62 +/- 230.51 m
End point on the trajectory:
  Lon =     1.352382 +/- 0.0047 deg
  Lat =    52.335719 +/- 0.0020 deg
  Ht  = 103979.06 +/- 213.09 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000655,  81.873463,   112522.62,   103979.06,          0.014731,     25.44,     49.61,              50.52, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210929_035159_493_0847104.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   111968.57,   105504.61,          0.018437,     59.74,     62.89,              51.64, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210929_035204_293_0850432.fits"}
    UK002F,    True,    -1.306160,    51.883100,   80.00, 863.121257,   0.000000,   112487.33,   103335.89,          0.111303,       nan,       nan,              43.15, 0.0000,    True,    True, {"ff_name": "FF_UK002F_20210929_035204_622_0852736.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,     UK000C,       0,  0.000000, 2459486.661165615544, 165.69088,  47.25049,               50.33416,  29.80875,        50.34491,       29.80446,    165.69088,     +47.25049,     165.68568,      +47.24084,  1518062.41,  3674099.17,  5113956.18,      52.323172,       +1.396908,  112522.62,  220594.00,       0.00,               76.66,    -0.28,      0.00,           59931.05,     35.19,     18.02,          36.97,  +2.53,  +0.81
  1,     UK000C,       0,  0.040392, 2459486.661166083068, 166.36937,  47.07274,               50.10369,  29.35681,        50.10540,       29.35613,    166.36937,     +47.07274,     166.36869,      +47.07119,  1518164.06,  3672239.80,  5112396.03,      52.326491,       +1.385146,  110261.25,  219069.82,    2429.33,             2352.66,   -71.95,  60143.79,           59931.05,      5.61,      2.87,           5.93,  +1.30,  -0.40
  2,     UK000C,       0,  0.080840, 2459486.661166551057, 167.13256,  46.85836,               49.85157,  28.83846,        49.83547,       28.84488,    167.13256,     +46.85836,     167.14108,      +46.87281,  1518278.13,  3670153.15,  5110645.16,      52.330217,       +1.371956,  107723.56,  217379.99,    5155.63,             5078.96,   303.41,  67402.53,           59931.05,    -52.31,    -26.82,          55.78,  +1.15,  -0.54
  3,     UK000C,       0,  0.121172, 2459486.661167018116, 167.69856,  46.69730,               49.66306,  28.45270,        49.63538,       28.46372,    167.69856,     +46.69730,     167.71339,      +46.72215,  1518362.04,  3668618.28,  5109357.29,      52.332959,       +1.362202,  105857.01,  216148.52,    7160.98,             7084.32,   -35.42,  49721.24,           59931.05,    -89.68,    -46.01,          96.18,  +1.55,  -0.12
  4,     UK000C,       0,  0.161496, 2459486.661167484708, 168.29443,  46.57033,               49.42830,  28.07750,        49.43325,       28.07553,    168.29443,     +46.57033,     168.29250,      +46.56589,  1518446.47,  3667073.99,  5108061.50,      52.335719,       +1.352382,  103979.06,  214921.37,    9178.67,             9102.00,  -361.45,  50036.78,           57185.45,     16.00,      8.19,          17.25,  +5.29,  +3.63
  0,     UK002C,       0,  0.006264, 2459486.661165694706, 160.24480,  34.88948,               62.59605,  23.21169,        62.59906,       23.21065,    160.24480,     +34.88948,     160.24321,      +34.88685,  1518087.31,  3673643.62,  5113573.94,      52.323985,       +1.394040,  111968.57,  271599.94,       0.00,              518.53,    77.51,      0.00,           58252.72,     10.16,      9.65,          10.64,  +2.31,  +0.14
  1,     UK002C,       0,  0.046500, 2459486.661166160367, 160.64910,  34.75030,               62.43197,  22.88499,        62.46001,       22.87524,    160.64910,     +34.75030,     160.63405,      +34.72569,  1518177.03,  3672002.57,  5112196.97,      52.326915,       +1.383639,  109972.72,  270283.84,    2144.09,             2662.62,  -117.00,  53287.95,           58252.72,     94.48,     89.66,          99.40,  +1.59,  -0.57
  2,     UK002C,       0,  0.086832, 2459486.661166626960, 161.10271,  34.50318,               62.31264,  22.45108,        62.28893,       22.45931,    161.10271,     +34.50318,     161.11610,      +34.52398,  1518286.99,  3669991.15,  5110509.23,      52.330507,       +1.370918,  107526.55,  268687.48,    4772.08,             5290.62,   166.80,  65158.94,           58252.72,    -79.53,    -75.64,          84.26,  +1.48,  -0.67
  3,     UK002C,       0,  0.127072, 2459486.661167092621, 161.52020,  34.35989,               62.14012,  22.11401,        62.14657,       22.11178,    161.52020,     +34.35989,     161.51716,      +34.35423,  1518377.89,  3668328.50,  5109114.14,      52.333477,       +1.360365,  105504.61,  267378.63,    6944.40,             7462.93,     0.28,  53984.06,           58252.72,     21.60,     20.51,          22.98,  +3.17,  +1.03
  0,     UK002F,       1,  0.017389, 2459486.661165816709, 147.06087,  32.17809,               74.12349,  29.32559,        74.12366,       29.32554,    147.06087,     +32.17809,     147.06086,      +32.17795,  1518063.99,  3674070.15,  5113931.83,      52.323223,       +1.396654,  112487.33,  223539.82,       0.00,               38.75, -1048.88,      0.00,           58796.24,      0.37,      0.49,           0.57,  +2.12,  +0.37
  1,     UK002F,       1,  0.057793, 2459486.661166284233, 147.52166,  31.92946,               74.00370,  28.87461,        73.94798,       28.89165,    147.52166,     +31.92946,     147.54897,      +31.97576,  1518172.28,  3672089.47,  5112269.89,      52.326759,       +1.384136,  110078.41,  221663.67,    2587.83,             2549.08,  -886.92,  64048.77,           58796.24,   -119.23,   -160.50,         186.05,  +1.55,  -0.18
  2,     UK002F,       1,  0.098197, 2459486.661166752223, 147.98985,  31.68203,               73.87582,  28.41970,        73.77137,       28.45157,    147.98985,     +31.68203,     148.04158,      +31.76890,  1518280.22,  3670115.08,  5110613.22,      52.330285,       +1.371646,  107677.25,  219807.92,    5167.45,             5128.70,  -655.67,  63845.67,           58796.24,   -222.09,   -299.63,         349.99,  +1.27,  -0.44
  3,     UK002F,       1,  0.138497, 2459486.661167218350, 148.34150,  31.50854,               73.76874,  28.08666,        73.64115,       28.12555,    148.34150,     +31.50854,     148.40527,      +31.61474,  1518359.08,  3668672.42,  5109402.72,      52.332863,       +1.362468,  105922.82,  218458.68,    7052.33,             7013.58, -1113.12,  46771.32,           58796.24,   -270.17,   -364.86,         428.65,  +1.73,  +0.03
  4,     UK002F,       1,  0.178953, 2459486.661167686805, 148.84590,  31.21338,               73.64960,  27.57527,        73.44807,       27.63648,    148.84590,     +31.21338,     148.94772,      +31.38126,  1518475.39,  3666545.08,  5107617.71,      52.336664,       +1.349002,  103335.89,  216488.46,    9831.78,             9793.03,  -685.06,  68703.01,           59749.35,   -423.55,   -573.97,         679.64,  +3.26,  +1.58

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.