Orbital Analysis for matched events on 20211103_014509.616_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 76.90° Bg 42.22° Vg 40.57km/s
mass 0.05818g, abs. mag -0.0
best visual mag 1.6
Path Details
------------
start -2.46° 49.47° 93.14km
end   -2.46° 49.46° 88.17km

Orbit Details
-------------
Semimajor axis 3.08A.U., eccentricity 0.82, inclination 65.85°, Period 5.39Y, LA Sun 220.56°, last Perihelion 2016-07-24

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: 2459521.573027969338
Time: 2021-11-03 01:45:09.616551 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK0038
 Convergence angle = 9.87050 deg
 R.A. =  72.60931  Dec = +71.69794 deg

Best intersection: Stations UK002D and UK0038 with Qconv = 9.87 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1688228.29 +/- 549.78 m
 Y =   3860436.81 +/- 789.10 m
 Z =   4895493.35 +/- 270.70 m
 Vx =     6977.01 +/- 7121.09 m/s
 Vy =    16791.23 +/- 11176.29 m/s
 Vz =    37932.92 +/- 4860.42 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.678985e+04, +1.219769e+05, -3.966577e+04, +1.268974e+06, +1.838667e+06, -5.990435e+05
+1.219769e+05, +1.722182e+05, -5.569938e+04, +1.783771e+06, +2.592806e+06, -8.418065e+05
-3.966577e+04, -5.569938e+04, +1.870333e+04, -5.769521e+05, -8.359747e+05, +2.764277e+05
+1.268974e+06, +1.783771e+06, -5.769521e+05, +1.899741e+07, +2.752582e+07, -8.981679e+06
+1.838667e+06, +2.592806e+06, -8.359747e+05, +2.752582e+07, +4.005849e+07, -1.302322e+07
-5.990435e+05, -8.418065e+05, +2.764277e+05, -8.981679e+06, -1.302322e+07, +4.287724e+06

Timing offsets (from input data):
    UK0025: 0.000000 s
    UK002D: 0.000000 s
    UK0038: -0.000054 s

Reference point on the trajectory:
  Time: 2021-11-03 01:45:09.616551 UTC
  Lon     = +-2.455176 +/- 0.0026 deg
  Lat     = +49.469602 +/- 0.0079 deg
  Lat geo = +49.282160 +/- 0.0079 deg
  Ht      =   93144.22 +/- 408.11 m

  JD dynamic   = 2459521.573828710243 
  LST apparent = 66.3795026197 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  67.43637 +/- 57.1250 deg
  Dec       = +64.38936 +/- 9.0908 deg
  Azimuth   =   1.77330 +/- 4.1388 deg
  Elevation = +75.06961 +/- 16.4047 deg
  Vavg      =  41.49932 +/- 3.2874 km/s
  Vinit     =  42.06579 +/- 3.4620 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  68.40397 +/- 57.1250 deg
  Dec       = +64.37922 +/- 9.0908 deg
  Azimuth   =   3.39495 +/- 4.1388 deg
  Elevation = +75.05138 +/- 16.4047 deg
  Vavg      =  41.50289 +/- 3.2874 km/s
  Vinit     =  42.06936 +/- 3.4620 km/s
Radiant (geocentric, J2000):
  R.A.   =  66.94969 +/- 59.1736 deg
  Dec    = +64.61678 +/- 9.1840 deg
  Vg     =  40.57228 +/- 3.5635 km/s
  Vinf   =  42.06579 +/- 3.4620 km/s
  Zc     =  15.11774 +/- 16.3995 deg
  Zg     =  15.39256 +/- 16.6095 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  76.89999 +/- 26.3387 deg
  Bg     = +42.22376 +/- 12.0232 deg
  Vh     =  38.72872 +/- 4.3168 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  14.16628 +/- 27.3432 deg
  Bh     = +44.75051 +/- 10.3112 deg
  Vh_x   = -26.66791 +/- 7.1638 km/s
  Vh_y   =  -6.73132 +/- 8.0811 km/s
  Vh_z   = -27.26584 +/- 7.3751 km/s
Orbit:
  La Sun = 220.559438 +/- 0.0000 deg
  a      =   3.075956 +/- 6.0902 AU
  e      =   0.823343 +/- 0.4020
  i      =  65.847181 +/- 2.0836 deg
  peri   = 270.095539 +/- 36.8863 deg
  node   = 220.560199 +/- 0.0000 deg
  Pi     = 130.655739 +/- 36.8863 deg
  q      =   0.543391 +/- 0.1883 AU
  f      = 269.905476 +/- 36.8863 deg
  M      = 352.176891 +/- nan deg
  Q      =   5.608522 +/- 12.2080 AU
  n      =   0.182698 +/- 0.3292 deg/day
  T      =   5.394745 +/- nan years
  Last perihelion JD = 2457593.928894 (2016-07-24 10:17:36.451428) +/- 5441.4234 days
  Tj     =   2.048982 +/- 2.2743
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.224643e-03, +3.535219e-03, -1.794142e+02, +5.703974e-07, -5.728756e-01, +2.991641e-02
q   , +3.535219e-03, +2.923424e-02, -6.794662e+02, +4.449413e-06, -4.407922e+00, +2.311433e-01
Tp  , -1.794142e+02, -6.794662e+02, +3.159445e+07, -1.174557e-01, +1.070753e+05, -6.135568e+03
node, +5.703974e-07, +4.449413e-06, -1.174557e-01, +7.671785e-10, -6.714905e-04, +3.977617e-05
peri, -5.728756e-01, -4.407922e+00, +1.070753e+05, -6.714905e-04, +6.668182e+02, -3.489936e+01
i   , +2.991641e-02, +2.311433e-01, -6.135568e+03, +3.977617e-05, -3.489936e+01, +2.062526e+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: UK002D
  Avg. res. = 1.865e-05 s
  Stddev    = 4.32e-03 s

Begin point on the trajectory:
  Lon =    -2.455176 +/- 0.0026 deg
  Lat =    49.469611 +/- 0.0079 deg
  Ht  = 93142.70 +/- 409.41 m
End point on the trajectory:
  Lon =    -2.456240 +/- 0.0016 deg
  Lat =    49.457853 +/- 0.0054 deg
  Ht  = 88166.99 +/- 266.40 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,    True,    -2.949750,    50.877380,   82.00,   0.000000,   0.000000,    93422.94,    88540.73,          0.049341,       nan,       nan,              82.89, 0.0000,    True,    True, {"ff_name": "FF_UK0025_20211103_014508_305_0759296.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,  21.933172,   0.000000,    93142.70,    88166.99,          0.009565,      4.26,     39.01,              90.02, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20211103_014459_255_0758528.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.332440,  50.855850,    92989.25,    88256.34,          0.011252,     12.69,     43.58,              89.81, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20211103_014502_632_0763904.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,       1, -1.057031, 2459521.573015735019,  77.28105,  -9.03476,              167.07256,  29.27761,       166.97760,       29.27207,     77.28105,      -9.03476,      77.36044,       -9.02837,  1688276.14,  3860551.95,  4895753.47,      49.470260,       -2.450728,   93422.94,  186701.83,       0.00,              288.46, 44748.82,     -0.00,           42218.90,    237.26,   -129.92,         298.85,  +4.89,  +3.53
  1,     UK0025,       1, -1.016671, 2459521.573016202543,  77.34892,  -9.46820,              167.06764,  28.83904,       167.01519,       28.83598,     77.34892,      -9.46820,      77.39121,       -9.46464,  1688030.46,  3859960.69,  4894417.76,      49.466879,       -2.451058,   91991.71,  186291.65,    1481.23,             1192.78, 43955.36,  36700.52,           42218.90,    131.26,    -71.98,         165.76,  +3.05,  +1.70
  2,     UK0025,       1, -0.976219, 2459521.573016670533,  77.41072, -10.02933,              167.09047,  28.27498,       167.06203,       28.27332,     77.41072,     -10.02933,      77.43206,      -10.02738,  1687715.11,  3859201.76,  4892703.25,      49.462537,       -2.451433,   90154.60,  185781.78,    3382.55,             3094.09, 44155.03,  47001.72,           42218.90,     71.36,    -39.17,          90.38,  +1.99,  +0.64
  3,     UK0025,       1, -0.935819, 2459521.573017138056,  77.46176, -10.52504,              167.11455,  27.77719,       167.10347,       27.77654,     77.46176,     -10.52504,      77.46780,      -10.52428,  1687438.08,  3858535.03,  4891197.06,      49.458721,       -2.451783,   88540.73,  185348.51,    5052.84,             4764.38, 44125.86,  41343.86,           42218.90,     27.84,    -15.29,          35.35,  +2.32,  +0.98
  0,     UK002D,       0,  0.000000, 2459521.573027969338,  54.78231, -15.46767,              192.77222,  22.32882,       192.75495,       22.32958,     54.78231,     -15.46767,      54.79883,      -15.46920,  1688228.95,  3860438.39,  4895496.92,      49.469611,       -2.455176,   93142.70,  235197.66,       0.00,                3.96,    -0.51,      0.00,           42806.89,     65.26,     -7.13,          57.57,  +3.82,  +1.96
  1,     UK002D,       0,  0.040328, 2459521.573028435931,  54.75532, -15.84492,              192.74166,  21.95174,       192.73878,       21.95186,     54.75532,     -15.84492,      54.75825,      -15.84518,  1687968.33,  3859811.17,  4894079.97,      49.466024,       -2.455514,   91624.02,  234944.21,    1571.33,             1567.37,  -133.52,  38963.74,           42806.89,     10.90,     -1.19,           9.63,  +2.27,  +0.42
  2,     UK002D,       0,  0.080708, 2459521.573028903455,  54.72091, -16.28536,              192.70902,  21.51110,       192.71948,       21.51064,     54.72091,     -16.28536,      54.71114,      -16.28442,  1687664.56,  3859080.10,  4892428.42,      49.461841,       -2.455882,   89853.97,  234661.37,    3402.82,             3398.87,    -0.65,  45356.45,           42806.89,    -39.68,      4.35,          35.09,  +1.99,  +0.14
  3,     UK002D,       0,  0.121072, 2459521.573029370513,  54.66824, -16.70427,              192.69826,  21.08927,       192.70130,       21.08914,     54.66824,     -16.70427,      54.66579,      -16.70400,  1687375.05,  3858383.34,  4890854.38,      49.457853,       -2.456240,   88166.99,  234404.91,    5148.35,             5144.40,    46.94,  43244.75,           42806.89,    -11.54,      1.26,          10.21,  +2.14,  +0.29
  0,     UK0038,       0,  0.003331, 2459521.573028008454,  65.00963, -15.93650,              181.50687,  22.69028,       181.49863,       22.69027,     65.00963,     -15.93650,      65.01755,      -15.93664,  1688202.61,  3860375.01,  4895353.74,      49.469248,       -2.455207,   92989.25,  231490.22,       0.00,              154.83,    10.23,      0.00,           40033.42,     29.47,     -8.57,          27.35,  +5.16,  +3.34
  1,     UK0038,       0,  0.043715, 2459521.573028475977,  65.02538, -16.39173,              181.48215,  22.23537,       181.50270,       22.23540,     65.02538,     -16.39173,      65.00574,      -16.39138,  1687893.85,  3859631.92,  4893675.04,      49.464999,       -2.455578,   91190.10,  231185.52,    1861.60,             2016.42,   173.04,  46097.45,           40033.42,    -73.69,     21.47,          68.48,  +2.45,  +0.63
  2,     UK0038,       0,  0.084003, 2459521.573028942104,  65.00194, -16.74698,              181.49989,  21.87979,       181.50658,       21.87980,     65.00194,     -16.74698,      64.99581,      -16.74687,  1687653.02,  3859052.34,  4892365.70,      49.461682,       -2.455903,   89786.74,  230958.02,    3313.58,             3468.41,   -69.72,  36040.13,           40033.42,    -24.05,      7.00,          22.37,  +1.65,  -0.17
  3,     UK0038,       0,  0.124319, 2459521.573029408697,  64.99193, -17.13547,              181.50304,  21.49120,       181.51051,       21.49121,     64.99193,     -17.13547,      64.98519,      -17.13534,  1687390.39,  3858420.27,  4890937.80,      49.458064,       -2.456244,   88256.34,  230720.08,    4897.06,             5051.88,  -182.17,  39276.56,           40033.42,    -26.85,      7.81,          25.00,  +3.33,  +1.51

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.