Orbital Analysis for matched events on 20211111_212335.804_UK

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Summary for Event
-----------------
shower ID 17 NTA (Northern Taurids)
Lg 60.16° Bg 7.40° Vg 27.11km/s
mass 0.04331g, abs. mag 0.7
best visual mag 1.3
Path Details
------------
start -2.73° 52.68° 84.01km
end   -2.80° 52.70° 78.42km

Orbit Details
-------------
Semimajor axis 2.05A.U., eccentricity 0.81, inclination 7.93°, Period 2.94Y, LA Sun 229.41°, last Perihelion 2019-01-15

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: 2459530.391386624426
Time: 2021-11-11 21:23:35.819679 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003X
 Convergence angle = 24.14950 deg
 R.A. =  56.16700  Dec = +25.98167 deg

Best intersection: Stations UK001L and UK003X with Qconv = 24.15 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3873075.83 +/- 28.25 m
 Y =    642088.55 +/- 68.77 m
 Z =   5116287.77 +/- 97.69 m
 Vx =    14622.16 +/- 199.33 m/s
 Vy =    21129.93 +/- 469.62 m/s
 Vz =    14085.52 +/- 764.65 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.872328e+02, +9.642352e+02, -1.570486e+03, +3.468508e+03, +4.768265e+03, -9.654568e+03
+9.642352e+02, +4.395816e+03, -6.424413e+03, +3.396209e+03, +2.278657e+04, -4.103671e+04
-1.570486e+03, -6.424413e+03, +1.061112e+04, -7.401632e+03, -3.510650e+04, +6.937089e+04
+3.468508e+03, +3.396209e+03, -7.401632e+03, +2.150817e+04, +2.276512e+04, -4.985246e+04
+4.768265e+03, +2.278657e+04, -3.510650e+04, +2.276512e+04, +1.604231e+05, -2.743754e+05
-9.654568e+03, -4.103671e+04, +6.937089e+04, -4.985246e+04, -2.743754e+05, +5.312280e+05

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK003X: 0.000802 s

Reference point on the trajectory:
  Time: 2021-11-11 21:23:35.819679 UTC
  Lon     = +-2.722741 +/- 0.0010 deg
  Lat     = +52.682768 +/- 0.0007 deg
  Lat geo = +52.499486 +/- 0.0007 deg
  Ht      =   84279.28 +/- 62.71 m

  JD dynamic   = 2459530.392187542748 
  LST apparent = 9.4130304077 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  55.31632 +/- 0.4511 deg
  Dec       = +28.72984 +/- 1.5172 deg
  Azimuth   = 107.11263 +/- 1.0972 deg
  Elevation = +48.78175 +/- 1.3734 deg
  Vavg      =  28.13399 +/- 0.0306 km/s
  Vinit     =  29.30330 +/- 0.1353 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  55.75699 +/- 0.4511 deg
  Dec       = +28.53708 +/- 1.5172 deg
  Azimuth   = 106.86616 +/- 1.0972 deg
  Elevation = +48.38154 +/- 1.3734 deg
  Vavg      =  28.31512 +/- 0.0306 km/s
  Vinit     =  29.48443 +/- 0.1353 km/s
Radiant (geocentric, J2000):
  R.A.   =  56.23459 +/- 0.4559 deg
  Dec    = +27.40744 +/- 1.5756 deg
  Vg     =  27.11218 +/- 0.1463 km/s
  Vinf   =  29.30330 +/- 0.1353 km/s
  Zc     =  41.16462 +/- 1.3704 deg
  Zg     =  42.83582 +/- 1.4239 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.16177 +/- 0.2804 deg
  Bg     =  +7.39977 +/- 1.6055 deg
  Vh     =  36.88141 +/- 0.1305 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   6.35150 +/- 0.2436 deg
  Bh     =  +5.43371 +/- 1.1755 deg
  Vh_x   = -36.49032 +/- 0.1403 km/s
  Vh_y   =  -4.06177 +/- 0.1600 km/s
  Vh_z   =  -3.49245 +/- 0.7522 km/s
Orbit:
  La Sun = 229.411003 +/- -0.0000 deg
  a      =   2.053465 +/- 0.0434 AU
  e      =   0.809557 +/- 0.0041
  i      =   7.931810 +/- 1.7096 deg
  peri   = 290.627076 +/- 0.6205 deg
  node   = 229.408012 +/- 0.0035 deg
  Pi     = 160.035088 +/- 0.6193 deg
  q      =   0.391069 +/- 0.0046 AU
  f      = 249.375460 +/- 0.6193 deg
  M      = 345.423039 +/- 0.5397 deg
  Q      =   3.715861 +/- 0.0857 AU
  n      =   0.334945 +/- 0.0113 deg/day
  T      =   2.942603 +/- 0.0923 years
  Last perihelion JD = 2458499.108307 (2019-01-15 14:35:57.727517) +/- 33.8493 days
  Tj     =   3.264829 +/- 0.0540
Shower association:
  IAU No.  =   17
  IAU code =  NTA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.347621e-05, +4.108676e-07, -1.115952e-01, -7.006422e-06, -8.269762e-04, -2.328918e-03
q   , +4.108676e-07, +1.859995e-05, -7.605753e-02, +6.878461e-06, -2.619742e-03, +3.675091e-03
Tp  , -1.115952e-01, -7.605753e-02, +1.208580e+03, +3.009534e-02, +1.698884e+01, +4.351378e+00
node, -7.006422e-06, +6.878461e-06, +3.009534e-02, +8.195220e-06, -5.607996e-04, +4.355821e-03
peri, -8.269762e-04, -2.619742e-03, +1.698884e+01, -5.607996e-04, +4.129112e-01, -3.810147e-01
i   , -2.328918e-03, +3.675091e-03, +4.351378e+00, +4.355821e-03, -3.810147e-01, +3.243578e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.002418
 a2 = 41.344040

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 1.613e-06 s
  Stddev    = 1.27e-03 s

Begin point on the trajectory:
  Lon =    -2.725988 +/- 0.0006 deg
  Lat =    52.683375 +/- 0.0006 deg
  Ht  = 84013.60 +/- 77.22 m
End point on the trajectory:
  Lon =    -2.795519 +/- 0.0010 deg
  Lat =    52.696150 +/- 0.0007 deg
  Ht  = 78422.67 +/- 55.60 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.042929,  30.568689,    83511.72,    78422.67,          0.012745,     21.91,     27.35,              99.20, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20211111_212334_624_0400640.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.107330,  26.843663,    84013.60,    78879.40,          0.019682,     30.09,     38.15,              82.87, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20211111_212335_400_0393728.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,     UK001L,       1,  0.000000, 2459530.391386624426, 268.87339,  50.73057,              313.17730,  31.88027,       313.18304,       31.87885,    268.87339,     +50.73057,     268.86638,      +50.73304,  3873054.13,   642057.19,  5116266.86,      52.682843,       -2.723077,   84246.57,  156781.80,       0.00,               43.49,   252.01,      0.00,           27267.59,     10.84,      8.69,          18.28,  +5.69,  +4.71
  1,     UK001L,       0,  0.040284, 2459530.391387090553, 268.60616,  50.41560,              313.05521,  31.53790,       313.06337,       31.53588,    268.60616,     +50.41560,     268.59638,      +50.41910,  3872566.65,   641352.75,  5115797.28,      52.684522,       -2.732225,   83511.72,  156880.35,     976.92,             1020.41,    48.47,  24250.73,           27267.59,     15.47,     12.40,          26.07,  +2.42,  +1.44
  2,     UK001L,       0,  0.080608, 2459530.391387557611, 268.28842,  50.06142,              312.93101,  31.14358,       312.92822,       31.14426,    268.28842,     +50.06142,     268.29215,      +50.06023,  3872009.11,   640547.07,  5115260.20,      52.686443,       -2.742668,   82671.32,  156999.51,    2094.25,             2137.74,   -15.82,  27708.95,           27267.59,     -5.31,     -4.26,           8.94,  +2.26,  +1.28
  3,     UK001L,       0,  0.120952, 2459530.391388024203, 267.97873,  49.67276,              312.77863,  30.72666,       312.78505,       30.72508,    267.97873,     +49.67276,     267.97143,      +49.67550,  3871411.40,   639683.34,  5114684.43,      52.688502,       -2.753855,   81770.45,  157135.56,    3292.08,             3335.57,    -0.20,  29690.40,           27267.59,     12.29,      9.85,          20.67,  +1.87,  +0.89
  4,     UK001L,       0,  0.161300, 2459530.391388491262, 267.64886,  49.29546,              312.65098,  30.30691,       312.64407,       30.30861,    267.64886,     +49.29546,     267.65792,      +49.29253,  3870816.74,   638824.03,  5114111.59,      52.690550,       -2.764990,   80874.27,  157279.99,    4483.79,             4527.29,     9.18,  29535.86,           27978.66,    -13.30,    -10.66,          22.35,  +1.88,  +0.90
  5,     UK001L,       0,  0.201628, 2459530.391388957854, 267.35792,  48.92584,              312.51276,  29.90868,       312.50998,       29.90936,    267.35792,     +48.92584,     267.36212,      +48.92467,  3870245.89,   637999.12,  5113561.69,      52.692515,       -2.775689,   80014.03,  157427.38,    5627.79,             5671.29,   -28.57,  28367.34,           28237.23,     -5.36,     -4.29,           8.99,  +1.81,  +0.82
  6,     UK001L,       0,  0.241984, 2459530.391389425378, 267.01648,  48.55251,              312.40347,  29.48316,       312.37087,       29.49120,    267.01648,     +48.55251,     267.05693,      +48.53879,  3869646.92,   637133.56,  5112984.71,      52.694577,       -2.786912,   79111.50,  157590.57,    6828.15,             6871.64,   -10.77,  29744.26,           28491.14,    -63.30,    -50.72,         106.17,  +1.76,  +0.77
  7,     UK001L,       0,  0.282240, 2459530.391389891040, 266.81147,  48.24888,              312.27754,  29.16905,       312.26492,       29.17216,    266.81147,     +48.24888,     266.82789,      +48.24358,  3869189.76,   636472.93,  5112544.32,      52.696150,       -2.795519,   78422.67,  157722.96,    7744.33,             7787.82,  -274.23,  22758.74,           28120.16,    -24.59,    -19.70,          41.21,  +3.87,  +2.88
  8,     UK001L,       1,  0.322420, 2459530.391390356235, 266.65307,  48.04274,              312.20413,  28.94646,       312.19069,       28.94977,    266.65307,     +48.04274,     266.67064,      +48.03711,  3868871.39,   636012.87,  5112237.63,      52.697246,       -2.801566,   77942.96,  157820.54,    8382.35,             8425.84,  -813.61,  15879.06,           27134.28,    -26.26,    -21.04,          43.98,  +6.31,  +5.32
  0,     UK003X,       0,  0.016133, 2459530.391386801843, 223.68493,  71.69336,              347.54075,  35.68215,       347.53017,       35.68829,    223.68493,     +71.69336,     223.71809,      +71.69526,  3872899.59,   641833.87,  5116118.00,      52.683375,       -2.725988,   84013.60,  142025.31,       0.00,              353.19,    88.97,      0.00,           28587.57,    -20.56,    -16.22,          38.03,  +3.78,  +3.02
  1,     UK003X,       0,  0.056345, 2459530.391387267504, 223.88961,  71.26246,              347.24301,  35.32000,       347.21627,       35.33550,    223.88961,     +71.26246,     223.97186,      +71.26717,  3872355.88,   641048.18,  5115594.25,      52.685249,       -2.736173,   83194.02,  141828.15,    1089.60,             1442.80,     0.23,  27096.47,           28587.57,    -52.00,    -41.03,          96.33,  +2.30,  +1.54
  2,     UK003X,       0,  0.096573, 2459530.391387732700, 224.16961,  70.78267,              346.89204,  34.92493,       346.86802,       34.93882,    224.16961,     +70.78267,     224.24215,      +70.78680,  3871747.65,   640169.25,  5115008.34,      52.687344,       -2.747551,   82277.25,  141617.07,    2308.51,             2661.71,    40.32,  30300.01,           28587.57,    -46.77,    -36.90,          86.76,  +1.76,  +1.00
  3,     UK003X,       0,  0.136753, 2459530.391388197895, 224.51221,  70.34677,              346.53952,  34.57981,       346.55056,       34.57344,    224.51221,     +70.34677,     224.48023,      +70.34492,  3871190.40,   639363.99,  5114471.54,      52.689263,       -2.757993,   81437.39,  141432.91,    3425.26,             3778.45,   -20.33,  27793.66,           28587.57,     21.52,     16.97,          39.97,  +1.55,  +0.80
  4,     UK003X,       0,  0.176973, 2459530.391388663556, 224.79082,  69.87099,              346.18812,  34.19089,       346.21103,       34.17771,    224.79082,     +69.87099,     224.72537,      +69.86723,  3870589.76,   638496.02,  5113892.94,      52.691331,       -2.769239,   80532.21,  141243.97,    4628.98,             4982.17,     4.80,  29928.27,           28833.55,     44.69,     35.24,          83.11,  +1.30,  +0.55
  5,     UK003X,       0,  0.217213, 2459530.391389129218, 224.95830,  69.39153,              345.87602,  33.78308,       345.87625,       33.78295,    224.95830,     +69.39153,     224.95858,      +69.39150,  3869993.55,   637634.46,  5113318.61,      52.693384,       -2.780407,   79633.79,  141066.48,    5823.80,             6176.99,    20.46,  29692.42,           29026.63,      0.44,      0.34,           0.81,  +1.54,  +0.79
  6,     UK003X,       0,  0.257389, 2459530.391389594413, 225.21774,  68.99442,              345.57087,  33.46430,       345.59600,       33.44990,    225.21774,     +68.99442,     225.14873,      +68.99046,  3869492.88,   636910.97,  5112836.32,      52.695107,       -2.789816,   78879.40,  140925.54,    6827.15,             7180.35,  -153.47,  24973.99,           28661.76,     49.13,     38.74,          91.57,  +2.36,  +1.62
  7,     UK003X,       1,  0.297593, 2459530.391390059609, 225.37182,  68.58245,              345.29830,  33.11656,       345.31185,       33.10881,    225.37182,     +68.58245,     225.33586,      +68.58035,  3868982.09,   636172.84,  5112344.28,      52.696865,       -2.799415,   78109.80,  140789.03,    7850.79,             8203.99,  -307.94,  25461.09,           28243.04,     26.53,     20.92,          49.49,  +5.27,  +4.53

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.