Orbital Analysis for matched events on 20211103_003458.492_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 119.14° Bg 37.39° Vg 59.46km/s
mass 0.00522g, abs. mag 0.9
best visual mag 1.8
Path Details
------------
start -2.15° 53.41° 106.37km
end   -2.25° 53.36° 97.79km

Orbit Details
-------------
Semimajor axis 7.14A.U., eccentricity 0.87, inclination 114.28°, Period 19.09Y, LA Sun 220.51°, last Perihelion 2002-10-22

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: 2459521.524288105313
Time: 2021-11-03 00:34:58.492299 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 55.21368 deg
 R.A. = 134.11405  Dec = +55.21066 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 55.21 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2536433.33 +/- 87.06 m
 Y =   2927264.75 +/- 49.23 m
 Z =   5183566.35 +/- 67.66 m
 Vx =   -23223.91 +/- 463.99 m/s
 Vy =    23896.96 +/- 540.06 m/s
 Vz =    50482.62 +/- 503.28 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.189572e+03, -1.761649e+03, +4.117295e+03, +4.190464e+04, -2.393053e+03, +2.967811e+04
-1.761649e+03, +2.849876e+03, -2.434616e+03, -3.039133e+03, +1.646992e+04, -1.739504e+04
+4.117295e+03, -2.434616e+03, +5.371695e+03, +1.984334e+04, -1.182982e+04, +2.401820e+04
+4.190464e+04, -3.039133e+03, +1.984334e+04, +2.576290e+05, +1.492337e+03, +1.687452e+05
-2.393053e+03, +1.646992e+04, -1.182982e+04, +1.492337e+03, +1.780590e+05, -1.693063e+05
+2.967811e+04, -1.739504e+04, +2.401820e+04, +1.687452e+05, -1.693063e+05, +2.735131e+05

Timing offsets (from input data):
    UK001L: -0.001424 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 00:34:58.492299 UTC
  Lon     = +-2.148753 +/- 0.0012 deg
  Lat     = +53.413331 +/- 0.0005 deg
  Lat geo = +53.232000 +/- 0.0005 deg
  Ht      =  106395.81 +/- 70.98 m

  JD dynamic   = 2459521.525088846218 
  LST apparent = 49.0915352507 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 134.18167 +/- 0.7897 deg
  Dec       = +56.57175 +/- 0.6077 deg
  Azimuth   =  50.05993 +/- 0.7418 deg
  Elevation = +44.28528 +/- 0.5317 deg
  Vavg      =  58.31926 +/- 0.1777 km/s
  Vinit     =  60.48892 +/- 0.1727 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 134.22289 +/- 0.7897 deg
  Dec       = +56.34985 +/- 0.6077 deg
  Azimuth   =  50.29866 +/- 0.7418 deg
  Elevation = +44.14218 +/- 0.5317 deg
  Vavg      =  58.47474 +/- 0.1777 km/s
  Vinit     =  60.64441 +/- 0.1727 km/s
Radiant (geocentric, J2000):
  R.A.   = 134.39383 +/- 0.7923 deg
  Dec    = +56.42510 +/- 0.6143 deg
  Vg     =  59.46187 +/- 0.1757 km/s
  Vinf   =  60.48892 +/- 0.1727 km/s
  Zc     =  45.83129 +/- 0.5312 deg
  Zg     =  46.24607 +/- 0.5377 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 119.14039 +/- 0.6171 deg
  Bg     = +37.39054 +/- 0.5773 deg
  Vh     =  40.79327 +/- 0.4415 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  99.60275 +/- 1.5395 deg
  Bh     = +62.26968 +/- 0.6205 deg
  Vh_x   =   3.16642 +/- 0.4940 km/s
  Vh_y   = -18.71556 +/- 0.2574 km/s
  Vh_z   = -36.10806 +/- 0.5831 km/s
Orbit:
  La Sun = 220.510618 +/- 0.0000 deg
  a      =   7.142360 +/- 1.4114 AU
  e      =   0.869622 +/- 0.0373
  i      = 114.276871 +/- 0.6930 deg
  peri   = 209.780994 +/- 1.6124 deg
  node   = 220.511674 +/- 0.0000 deg
  Pi     =  70.292668 +/- 1.6124 deg
  q      =   0.931204 +/- 0.0061 AU
  f      = 330.219751 +/- 1.6124 deg
  M      = 358.929821 +/- 0.5858 deg
  Q      =  13.353516 +/- 2.8221 AU
  n      =   0.051635 +/- 0.0250 deg/day
  T      =  19.088122 +/- 5.2874 years
  Last perihelion JD = 2452570.192986 (2002-10-22 16:37:53.970553) +/- 1931.8186 days
  Tj     =   0.253044 +/- 0.2017
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.555365e-03, +2.677279e-05, -7.975522e+01, -4.177133e-07, -2.160674e-02, -2.887908e-02
q   , +2.677279e-05, +3.700404e-05, -1.712069e+00, -5.570723e-09, -9.603456e-03, -3.911920e-04
Tp  , -7.975522e+01, -1.712069e+00, +4.311489e+06, +2.130543e-02, +1.189035e+03, +1.474270e+03
node, -4.177133e-07, -5.570723e-09, +2.130543e-02, +1.123495e-10, +5.396174e-06, +7.766276e-06
peri, -2.160674e-02, -9.603456e-03, +1.189035e+03, +5.396174e-06, +2.633874e+00, +3.745524e-01
i   , -2.887908e-02, -3.911920e-04, +1.474270e+03, +7.766276e-06, +3.745524e-01, +5.368631e-01

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: UK002Z
  Avg. res. = 9.418e-06 s
  Stddev    = 3.07e-03 s

Begin point on the trajectory:
  Lon =    -2.149077 +/- 0.0012 deg
  Lat =    53.413169 +/- 0.0004 deg
  Ht  = 106367.98 +/- 66.25 m
End point on the trajectory:
  Lon =    -2.249727 +/- 0.0006 deg
  Lat =    53.363154 +/- 0.0007 deg
  Ht  = 97794.15 +/- 61.48 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,   0.000000,   0.000000,   104192.27,    97794.15,          0.017477,     52.62,     35.03,              55.45, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20211103_003448_903_0666368.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   106367.98,    97890.87,          0.036953,     95.67,     38.03,              89.77, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20211103_003456_786_0676352.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,       0,  0.045990, 2459521.524288652465, 268.83551,  63.33899,              341.17127,  29.17990,       341.15026,       29.20600,    268.83551,     +63.33899,     268.89820,      +63.35422,  2537645.18,  2926017.78,  5180932.11,      53.400504,       -2.174579,  104192.27,  208153.21,       0.00,             3156.38,   485.59,      0.00,           57651.63,    -64.24,     96.48,         114.85,  +4.89,  +3.30
  1,     UK001L,       0,  0.086222, 2459521.524289118126, 269.35602,  62.96039,              340.73738,  28.94588,       340.73348,       28.95070,    269.35602,     +62.96039,     269.36785,      +62.96317,  2538392.98,  2925248.30,  5179306.59,      53.392582,       -2.190562,  102832.90,  207048.39,    1947.72,             5104.10,    -0.28,  48412.28,           57651.63,    -11.82,     17.78,          21.27,  +2.55,  +0.97
  2,     UK001L,       0,  0.126562, 2459521.524289585184, 269.93093,  62.43340,              340.19823,  28.59388,       340.18488,       28.61027,    269.93093,     +62.43340,     269.97007,      +62.44273,  2539372.78,  2924240.11,  5177176.78,      53.382193,       -2.211454,  101052.25,  205618.89,    4499.69,             7656.07,   111.56,  63261.48,           57651.63,    -40.06,     60.21,          72.54,  +2.79,  +1.22
  3,     UK001L,       0,  0.166866, 2459521.524290051777, 270.52180,  61.94535,              339.66693,  28.28416,       339.66654,       28.28464,    270.52180,     +61.94535,     270.52362,      +61.94562,  2540291.67,  2923294.59,  5175179.34,      53.372442,       -2.231059,   99382.72,  204298.46,    6893.04,            10049.42,    66.97,  59382.50,           57651.63,     -1.16,      1.75,           2.12,  +3.04,  +1.49
  4,     UK001L,       0,  0.207174, 2459521.524290518370, 271.02421,  61.46071,              339.17533,  27.96226,       339.16983,       27.96894,    271.02421,     +61.46071,     271.04052,      +61.46441,  2541166.24,  2922394.68,  5173278.27,      53.363154,       -2.249727,   97794.15,  203060.27,    9170.93,            12327.31,   -93.33,  56512.01,           57783.68,    -16.19,     24.35,          29.70,  +3.97,  +2.43
  0,     UK002Z,       0,  0.000000, 2459521.524288105313, 352.22842,  28.88043,              263.92489,  41.24930,       263.96509,       41.23672,    352.22842,     +28.88043,     352.19325,      +28.89154,  2536448.64,  2927249.00,  5183533.09,      53.413169,       -2.149077,  106367.98,  159639.25,       0.00,               39.86,   150.98,      0.00,           60961.62,    -33.67,    -84.77,         117.85,  +4.46,  +3.44
  1,     UK002Z,       0,  0.040724, 2459521.524288576562, 351.87036,  27.98752,              263.44058,  40.37634,       263.48912,       40.36118,    351.87036,     +27.98752,     351.82790,      +28.00097,  2537458.97,  2926209.39,  5181336.89,      53.402476,       -2.170613,  104530.82,  159608.39,    2631.51,             2671.37,   319.14,  64618.17,           60961.62,    -41.11,   -103.48,         143.90,  +3.35,  +2.33
  2,     UK002Z,       0,  0.081264, 2459521.524289045949, 351.62616,  27.29954,              263.05256,  39.71916,       263.13549,       39.69332,    351.62616,     +27.29954,     351.55349,      +27.32258,  2538227.34,  2925418.75,  5179666.66,      53.394337,       -2.187033,  103133.98,  159616.11,    4632.81,             4672.67,  -131.79,  49365.94,           60961.62,    -70.89,   -178.19,         247.82,  +1.78,  +0.76
  3,     UK002Z,       0,  0.122104, 2459521.524289518595, 351.17658,  26.30980,              262.59740,  38.71107,       262.62348,       38.70295,    351.17658,     +26.30980,     351.15403,      +26.31706,  2539366.39,  2924246.68,  5177190.66,      53.382261,       -2.211295,  101063.85,  159669.88,    7599.58,             7639.44,   364.62,  72643.77,           60961.62,    -22.52,    -56.76,          78.89,  +1.92,  +0.90
  4,     UK002Z,       0,  0.162676, 2459521.524289987981, 350.89118,  25.61250,              262.26190,  38.01618,       262.27581,       38.01186,    350.89118,     +25.61250,     350.87953,      +25.61638,  2540159.52,  2923430.57,  5175466.62,      53.373845,       -2.228240,   99622.81,  159742.59,    9665.35,             9705.21,   -23.77,  50916.15,           59744.68,    -12.11,    -30.54,          42.42,  +2.55,  +1.53
  5,     UK002Z,       0,  0.203356, 2459521.524290458765, 350.56712,  24.77049,              261.85171,  37.18590,       261.86676,       37.18123,    350.56712,     +24.77049,     350.55458,      +24.77470,  2541112.98,  2922449.48,  5173394.04,      53.363719,       -2.248579,   97890.87,  159863.74,   12148.74,            12188.60,    -1.07,  61047.06,           59582.76,    -13.24,    -33.37,          46.32,  +2.29,  +1.27

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.