Orbital Analysis for matched events on 20211103_020225.965_UK

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Summary for Event
-----------------
shower ID 2 STA
Lg 50.01° Bg -3.12° Vg 25.84km/s
mass 0.01220g, abs. mag 1.7
best visual mag 1.1
Path Details
------------
start -1.86° 51.43° 87.61km
end   -1.84° 51.45° 84.02km

Orbit Details
-------------
Semimajor axis 1.97A.U., eccentricity 0.79, inclination 3.12°, Period 2.76Y, LA Sun 220.57°, last Perihelion 2019-03-13

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: 2459521.585022753105
Time: 2021-11-03 02:02:25.965868 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002W and UK003Z
 Convergence angle = 45.63635 deg
 R.A. =  49.82469  Dec = +16.36546 deg

Best intersection: Stations UK002W and UK003Z with Qconv = 45.64 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1295029.93 +/- 11.53 m
 Y =   3826191.70 +/- 9.67 m
 Z =   5032039.40 +/- 14.39 m
 Vx =    17563.51 +/- 130.05 m/s
 Vy =    20488.51 +/- 143.29 m/s
 Vz =     7951.38 +/- 184.31 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.331789e+02, +6.776828e+01, +6.499514e+01, +7.232689e+02, -7.690276e+01, +1.559014e+03
+6.776828e+01, +9.870984e+01, +6.455576e+01, +3.863452e+01, +3.536405e+02, +1.143696e+03
+6.499514e+01, +6.455576e+01, +2.315073e+02, +1.939170e+02, +5.026253e+02, +2.133089e+03
+7.232689e+02, +3.863452e+01, +1.939170e+02, +6.986614e+03, -3.318524e+03, +7.706929e+03
-7.690276e+01, +3.536405e+02, +5.026253e+02, -3.318524e+03, +4.317919e+03, +4.762258e+03
+1.559014e+03, +1.143696e+03, +2.133089e+03, +7.706929e+03, +4.762258e+03, +3.562388e+04

Timing offsets (from input data):
    UK002W: 0.000000 s
    UK003Z: -0.000169 s
    UK0049: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:02:25.965868 UTC
  Lon     = +-1.863757 +/- 0.0001 deg
  Lat     = +51.429834 +/- 0.0001 deg
  Lat geo = +51.244648 +/- 0.0001 deg
  Ht      =   87616.69 +/- 15.99 m

  JD dynamic   = 2459521.585823494010 
  LST apparent = 71.3008666777 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.39561 +/- 0.1952 deg
  Dec       = +16.41740 +/- 0.3340 deg
  Azimuth   = 214.55579 +/- 0.3614 deg
  Elevation = +50.88210 +/- 0.3063 deg
  Vavg      =  27.49737 +/- 0.0771 km/s
  Vinit     =  28.13326 +/- 0.0947 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.97820 +/- 0.1952 deg
  Dec       = +16.48008 +/- 0.3340 deg
  Azimuth   = 213.76532 +/- 0.3614 deg
  Elevation = +51.14442 +/- 0.3063 deg
  Vavg      =  27.39331 +/- 0.0771 km/s
  Vinit     =  28.02920 +/- 0.0947 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.43151 +/- 0.2002 deg
  Dec    = +14.74006 +/- 0.3612 deg
  Vg     =  25.84453 +/- 0.1032 km/s
  Vinf   =  28.13326 +/- 0.0947 km/s
  Zc     =  38.96551 +/- 0.3060 deg
  Zg     =  40.68433 +/- 0.3331 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  50.01190 +/- 0.1980 deg
  Bg     =  -3.11544 +/- 0.3591 deg
  Vh     =  36.57784 +/- 0.0771 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 355.67680 +/- 0.1847 deg
  Bh     =  -2.20050 +/- 0.2454 deg
  Vh_x   = -36.44687 +/- 0.0824 km/s
  Vh_y   =   2.75530 +/- 0.1171 km/s
  Vh_z   =   1.40446 +/- 0.1552 km/s
Orbit:
  La Sun = 220.571453 +/- 0.0000 deg
  a      =   1.969682 +/- 0.0257 AU
  e      =   0.789917 +/- 0.0027
  i      =   3.115222 +/- 0.3364 deg
  peri   = 108.699589 +/- 0.4323 deg
  node   =  40.588786 +/- 0.0016 deg
  Pi     = 149.288376 +/- 0.4328 deg
  q      =   0.413797 +/- 0.0033 AU
  f      = 251.284336 +/- 0.4328 deg
  M      = 344.134677 +/- 0.3269 deg
  Q      =   3.525567 +/- 0.0505 AU
  n      =   0.356542 +/- 0.0067 deg/day
  T      =   2.764361 +/- 0.0546 years
  Last perihelion JD = 2458556.383052 (2019-03-13 21:11:35.670256) +/- 20.0233 days
  Tj     =   3.395573 +/- 0.0318
Shower association:
  IAU No.  =    2
  IAU code =  STA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +7.544937e-06, -2.932708e-06, -4.552084e-02, +4.311773e-06, -1.970198e-05, -8.981893e-04
q   , -2.932708e-06, +1.205547e-05, -2.278791e-02, -3.296669e-06, -1.490577e-03, +7.045642e-04
Tp  , -4.552084e-02, -2.278791e-02, +4.248427e+02, -2.005139e-02, +5.675243e+00, +4.106401e+00
node, +4.311773e-06, -3.296669e-06, -2.005139e-02, +2.780556e-06, +2.110608e-04, -5.740580e-04
peri, -1.970198e-05, -1.490577e-03, +5.675243e+00, +2.110608e-04, +2.056961e-01, -4.643396e-02
i   , -8.981893e-04, +7.045642e-04, +4.106401e+00, -5.740580e-04, -4.643396e-02, +1.196525e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -8.229654
 a2 = 13.883012

Mean time residuals from time vs. length:
  Station with reference time: UK002W
  Avg. res. = 2.157e-06 s
  Stddev    = 1.47e-03 s

Begin point on the trajectory:
  Lon =    -1.863731 +/- 0.0001 deg
  Lat =    51.429857 +/- 0.0001 deg
  Ht  = 87612.83 +/- 12.89 m
End point on the trajectory:
  Lon =    -1.840872 +/- 0.0001 deg
  Lat =    51.451221 +/- 0.0001 deg
  Ht  = 84017.22 +/- 21.23 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
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,    87612.83,    84241.85,          0.016779,     23.89,     13.37,              57.03, 1.0000,    True,    True, {"ff_name": "FF_UK002W_20211103_020224_385_0790016.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,  15.581998,   2.937532,    87504.95,    84017.22,          0.011794,     16.47,     11.89,              60.94, 1.0000,    True,    True, {"ff_name": "FF_UK003Z_20211103_020223_376_0793344.fits"}
    UK0049,    True,    -1.967550,    52.349810,  132.00, 1767.875401,   0.601517,    87163.75,    84635.21,          0.036563,       nan,       nan,              28.03, 0.0000,    True,    True, {"ff_name": "FF_UK0049_20211103_020225_598_0795392.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,     UK002W,       0,  0.000000, 2459521.585022753105, 106.91644,  49.86835,               79.47695,  67.26281,        79.44182,       67.27143,    106.91644,     +49.86835,     106.91013,      +49.88390,  1295026.83,  3826188.08,  5032037.99,      51.429857,       -1.863731,   87612.83,   94823.58,       0.00,                4.97,    15.10,      0.00,           27978.99,    -12.99,    -23.22,          57.89,  +5.28,  +5.40
  1,     UK002W,       0,  0.040340, 2459521.585023220163, 107.74704,  50.01306,               78.70638,  66.79776,        78.67835,       66.80459,    107.74704,     +50.01306,     107.74231,      +50.02565,  1294341.19,  3825388.25,  5031727.59,      51.434917,       -1.858324,   86760.78,   94221.56,    1098.26,             1103.24,   -21.54,  27225.13,           27978.99,    -10.42,    -18.62,          46.72,  +1.44,  +1.57
  2,     UK002W,       0,  0.080684, 2459521.585023686755, 108.59158,  50.15546,               77.95153,  66.32469,        77.93506,       66.32867,    108.59158,     +50.15546,     108.58913,      +50.16297,  1293656.27,  3824589.27,  5031417.51,      51.439973,       -1.852919,   85909.68,   93629.07,    2195.36,             2200.34,   -59.44,  27193.71,           27978.99,     -6.16,    -11.01,          27.79,  +1.13,  +1.27
  3,     UK002W,       0,  0.121084, 2459521.585024154745, 109.54581,  50.27964,               77.20312,  65.78067,        77.14207,       65.79531,    109.54581,     +50.27964,     109.53637,      +50.30794,  1292905.26,  3823713.18,  5031077.51,      51.445519,       -1.846974,   84976.53,   92990.26,    3398.34,             3403.31,     6.95,  29776.59,           27978.99,    -22.98,    -41.08,         104.41,  +1.93,  +2.09
  4,     UK002W,       0,  0.161384, 2459521.585024620872, 110.29580,  50.40994,               76.55107,  65.36432,        76.53245,       65.36876,    110.29580,     +50.40994,     110.29354,      +50.41869,  1292313.94,  3823023.39,  5030809.81,      51.449885,       -1.842327,   84241.85,   92494.10,    4345.51,             4350.48,  -179.66,  23502.90,           27238.83,     -7.05,    -12.60,          32.20,  +4.03,  +4.20
  0,     UK003Z,       0,  0.005491, 2459521.585022818297,  30.53585,  76.15580,              341.55216,  60.26525,       341.55048,       60.26466,     30.53585,     +76.15580,      30.53187,      +76.15544,  1294940.02,  3826086.82,  5031998.69,      51.430498,       -1.863049,   87504.95,  100480.39,       0.00,              144.02,    -0.35,      0.00,           27789.54,     -1.05,     -1.46,           3.69,  +2.51,  +2.50
  1,     UK003Z,       0,  0.045543, 2459521.585023282096,  29.60361,  76.68569,              342.19452,  59.79018,       342.20101,       59.79246,     29.60361,     +76.68569,      29.61985,      +76.68716,  1294220.67,  3825247.66,  5031673.03,      51.435807,       -1.857366,   86611.02,   99920.75,    1152.26,             1296.28,    25.12,  28769.08,           27789.54,      4.06,      5.63,          14.33,  +1.73,  +1.73
  2,     UK003Z,       0,  0.085583, 2459521.585023745429,  28.75602,  77.14266,              342.74274,  59.37956,       342.74730,       59.38115,     28.75602,     +77.14266,      28.76805,      +77.14374,  1293604.68,  3824529.09,  5031394.16,      51.440354,       -1.852521,   85845.58,   99449.79,    2138.95,             2282.97,  -114.65,  24642.56,           27789.54,      2.86,      3.96,          10.13,  +1.57,  +1.58
  3,     UK003Z,       0,  0.125619, 2459521.585024208762,  27.68505,  77.72903,              343.45768,  58.86628,       343.42628,       58.85540,     27.68505,     +77.72903,      27.60138,      +77.72118,  1292829.71,  3823625.05,  5031043.31,      51.446076,       -1.846379,   84882.66,   98867.51,    3380.31,             3524.33,     0.36,  31006.09,           27789.54,    -19.74,    -27.34,          70.36,  +2.21,  +2.23
  4,     UK003Z,       0,  0.165675, 2459521.585024672560,  26.51626,  78.24795,              344.05147,  58.38373,       344.02439,       58.37440,     26.51626,     +78.24795,      26.44127,      +78.24081,  1292133.13,  3822812.47,  5030727.95,      51.451221,       -1.840872,   84017.22,   98354.62,    4496.08,             4640.10,   -10.77,  27855.41,           28019.43,    -17.07,    -23.65,          61.16,  +4.10,  +4.14
  0,     UK0049,       1,  0.087276, 2459521.585023763124,  74.36641,   2.11545,              175.88236,  39.69609,       175.85342,       39.72878,     74.36641,      +2.11545,      74.38759,       +2.14910,  1294665.49,  3825766.57,  5031874.41,      51.432524,       -1.861158,   87163.75,  134862.53,       0.00,              583.76, -1861.47,      0.00,           26966.10,     20.79,     90.75,         142.39,  +3.26,  +2.61
  1,     UK0049,       1,  0.127344, 2459521.585024226923,  74.57255,   2.03213,              175.61999,  39.60352,       175.62019,       39.60330,     74.57255,      +2.03213,      74.57294,       +2.03190,  1293981.11,  3824968.21,  5031564.57,      51.437575,       -1.855758,   86313.27,  133898.81,    1096.24,             1680.00, -1892.47,  27359.59,           26966.10,     -0.14,     -0.62,           0.97,  +2.39,  +1.76
  2,     UK0049,       1,  0.167456, 2459521.585024691187,  74.73477,   1.89830,              175.41830,  39.46210,       175.39931,       39.48341,     74.73477,      +1.89830,      74.74908,       +1.92030,  1293338.51,  3824218.59,  5031273.65,      51.442319,       -1.850695,   85514.76,  132995.68,    2125.56,             2709.32, -1991.63,  25661.12,           26966.10,     13.39,     58.52,          93.11,  +2.56,  +1.94
  3,     UK0049,       1,  0.207500, 2459521.585025154520,  74.97477,   1.84311,              175.11176,  39.39488,       175.15271,       39.34892,     74.97477,      +1.84311,      74.94639,       +1.79557,  1292630.64,  3823392.83,  5030953.18,      51.447546,       -1.845099,   84635.21,  132002.95,    3259.44,             3843.20, -1984.32,  28315.78,           26966.10,    -28.48,   -125.37,         200.89,  +4.38,  +3.78

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.