Orbital Analysis for matched events on 20211103_214349.313_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 67.40° Bg 31.22° Vg 40.78km/s
mass 0.05357g, abs. mag -0.5
best visual mag 1.3
Path Details
------------
start 0.00° 55.17° 86.68km
end   -0.05° 55.17° 79.76km

Orbit Details
-------------
Semimajor axis 7.74A.U., eccentricity 0.95, inclination 55.10°, Period 21.55Y, LA Sun 221.39°, last Perihelion 2000-05-25

Full details below
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Detailed report below graphs

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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: 2459522.405431872699
Time: 2021-11-03 21:43:49.313801 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000P and UK0026
 Convergence angle = 78.42863 deg
 R.A. =  57.91177  Dec = +51.69858 deg

Best intersection: Stations UK000P and UK0026 with Qconv = 78.43 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3651422.56 +/- 25.26 m
 Y =    599357.76 +/- 44.72 m
 Z =   5283639.43 +/- 30.21 m
 Vx =    13936.04 +/- 279.71 m/s
 Vy =    21682.69 +/- 347.06 m/s
 Vz =    33500.41 +/- 290.44 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.600103e+02, +6.547680e+02, +3.056603e+02, +4.125005e+03, +4.267231e+02, -2.721638e+03
+6.547680e+02, +2.096555e+03, +1.128443e+03, +4.205223e+03, +4.676102e+03, -1.980898e+03
+3.056603e+02, +1.128443e+03, +9.791951e+02, +1.953252e+03, +8.912575e+02, -2.361997e+02
+4.125005e+03, +4.205223e+03, +1.953252e+03, +3.912537e+04, -2.257512e+04, -2.274274e+04
+4.267231e+02, +4.676102e+03, +8.912575e+02, -2.257512e+04, +1.311871e+05, -4.126660e+03
-2.721638e+03, -1.980898e+03, -2.361997e+02, -2.274274e+04, -4.126660e+03, +1.897647e+04

Timing offsets (from input data):
    UK000P: 0.000000 s
    UK0026: 0.000733 s

Reference point on the trajectory:
  Time: 2021-11-03 21:43:49.313801 UTC
  Lon     = ++0.001085 +/- 0.0006 deg
  Lat     = +55.173529 +/- 0.0002 deg
  Lat geo = +54.995330 +/- 0.0002 deg
  Ht      =   86688.72 +/- 36.98 m

  JD dynamic   = 2459522.406232613605 
  LST apparent = 9.3216126981 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.27007 +/- 0.6147 deg
  Dec       = +52.42551 +/- 0.3514 deg
  Azimuth   =  75.47108 +/- 0.6304 deg
  Elevation = +62.11133 +/- 0.4192 deg
  Vavg      =  39.56193 +/- 0.1763 km/s
  Vinit     =  42.26854 +/- 0.1642 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  57.66872 +/- 0.6147 deg
  Dec       = +52.21021 +/- 0.3514 deg
  Azimuth   =  75.66469 +/- 0.6304 deg
  Elevation = +61.79916 +/- 0.4192 deg
  Vavg      =  39.68479 +/- 0.1763 km/s
  Vinit     =  42.39140 +/- 0.1642 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.61545 +/- 0.6153 deg
  Dec    = +52.14579 +/- 0.3573 deg
  Vg     =  40.78046 +/- 0.1701 km/s
  Vinf   =  42.26854 +/- 0.1642 km/s
  Zc     =  27.93387 +/- 0.4189 deg
  Zg     =  28.44454 +/- 0.4229 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.39812 +/- 0.4081 deg
  Bg     = +31.21889 +/- 0.3877 deg
  Vh     =  40.91636 +/- 0.0938 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  16.50009 +/- 0.5391 deg
  Bh     = +31.10356 +/- 0.3192 deg
  Vh_x   = -33.59130 +/- 0.1902 km/s
  Vh_y   =  -9.95025 +/- 0.3157 km/s
  Vh_z   = -21.13685 +/- 0.1847 km/s
Orbit:
  La Sun = 221.393407 +/- 0.0000 deg
  a      =   7.744182 +/- 0.4674 AU
  e      =   0.951246 +/- 0.0029
  i      =  55.097444 +/- 0.5579 deg
  peri   = 285.693217 +/- 0.9661 deg
  node   = 221.393040 +/- 0.0000 deg
  Pi     = 147.086257 +/- 0.9661 deg
  q      =   0.377557 +/- 0.0077 AU
  f      = 254.307134 +/- 0.9661 deg
  M      = 358.224366 +/- 0.1848 deg
  Q      =  15.110806 +/- 0.9320 AU
  n      =   0.045734 +/- 0.0047 deg/day
  T      =  21.550826 +/- 1.9062 years
  Last perihelion JD = 2451689.654868 (2000-05-25 03:43:00.584072) +/- 696.2949 days
  Tj     =   1.102581 +/- 0.0386
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +8.454086e-06, +8.756249e-07, -1.924961e+00, -8.619770e-09, -4.673156e-04, -1.177445e-03
q   , +8.756249e-07, +6.580218e-05, -2.112696e+00, -1.746588e-08, -8.205964e-03, -2.377635e-03
Tp  , -1.924961e+00, -2.112696e+00, +4.975468e+05, +2.472057e-03, +3.439439e+02, +3.372577e+02
node, -8.619770e-09, -1.746588e-08, +2.472057e-03, +1.744328e-11, +2.534021e-06, +2.374534e-06
peri, -4.673156e-04, -8.205964e-03, +3.439439e+02, +2.534021e-06, +1.038535e+00, +3.451334e-01
i   , -1.177445e-03, -2.377635e-03, +3.372577e+02, +2.374534e-06, +3.451334e-01, +3.232660e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.176965
 a2 = 39.329042

Mean time residuals from time vs. length:
  Station with reference time: UK000P
  Avg. res. = 2.361e-05 s
  Stddev    = 4.86e-03 s

Begin point on the trajectory:
  Lon =     0.001052 +/- 0.0006 deg
  Lat =    55.173524 +/- 0.0002 deg
  Ht  = 86684.59 +/- 17.41 m
End point on the trajectory:
  Lon =    -0.054783 +/- 0.0013 deg
  Lat =    55.165353 +/- 0.0003 deg
  Ht  = 79758.36 +/- 35.06 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
    UK000P,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,    86684.59,    79758.36,          0.006541,     14.98,     19.13,              37.09, 1.0000,    True,    True, {"ff_name": "FF_UK000P_20211103_214350_296_0412416.fits"}
    UK0026,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,    86393.39,    80688.33,          0.014630,     44.40,     48.83,              65.20, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20211103_214341_550_0422912.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,     UK000P,       0,  0.000000, 2459522.405431872699,  88.24204,  22.48318,               82.91047,  22.77887,        82.91324,       22.77921,     88.24204,     +22.48318,      88.23964,      +22.48187,  3651421.02,   599355.37,  5283635.73,      55.173524,       +0.001052,   86684.59,  215921.06,       0.00,                4.67,   211.09,      0.00,           40297.72,     -7.65,      5.99,           9.28,  +1.81,  +0.14
  1,     UK000P,       0,  0.040184, 2459522.405432337895,  88.38424,  22.27728,               82.93556,  22.53567,        82.94774,       22.53715,     88.38424,     +22.27728,      88.37384,      +22.27152,  3650930.40,   598592.02,  5282456.33,      55.171976,       -0.009551,   85369.35,  214743.26,    1488.08,             1492.75,     0.66,  37031.73,           40297.72,    -33.48,     26.23,          40.85,  +1.33,  -0.33
  2,     UK000P,       0,  0.080372, 2459522.405432803091,  88.51216,  22.04291,               82.99033,  22.27798,        82.98465,       22.27729,     88.51216,     +22.04291,      88.51743,      +22.04559,  3650409.77,   597781.99,  5281204.82,      55.170331,       -0.020796,   83973.75,  213498.34,    3067.16,             3071.83,  -118.96,  39292.21,           40297.72,     15.57,    -12.18,          19.10,  +1.39,  -0.26
  3,     UK000P,       0,  0.120596, 2459522.405433268286,  88.68162,  21.78305,               83.02850,  21.97633,        83.02725,       21.97617,     88.68162,     +21.78305,      88.68321,      +21.78364,  3649814.33,   596855.56,  5279773.45,      55.168448,       -0.033637,   82377.68,  212081.49,    4873.16,             4877.83,   -13.17,  44898.55,           40297.72,      3.41,     -2.67,           4.21,  +1.29,  -0.34
  4,     UK000P,       0,  0.160812, 2459522.405433733948,  88.83971,  21.53111,               83.06970,  21.68719,        83.06799,       21.68699,     88.83971,     +21.53111,      88.84187,      +21.53192,  3649249.76,   595977.16,  5278416.29,      55.166661,       -0.045826,   80864.44,  210743.14,    6585.53,             6590.20,    -0.66,  42579.47,           41181.09,      4.63,     -3.62,           5.76,  +1.38,  -0.24
  5,     UK000P,       0,  0.200976, 2459522.405434198678,  88.96657,  21.35084,               83.08786,  21.47236,        83.09793,       21.47358,     88.96657,     +21.35084,      88.95865,      +21.34608,  3648837.08,   595335.08,  5277424.27,      55.165353,       -0.054783,   79758.36,  209765.70,    7837.19,             7841.86,  -446.68,  31163.75,           40003.76,    -27.23,     21.32,          34.01,  +3.85,  +2.24
  0,     UK0026,       0,  0.013069, 2459522.405432129279, 188.73340,  55.31547,                0.33773,  18.30055,         0.33410,       18.30253,    188.73340,     +55.31547,     188.73953,      +55.31748,  3651312.40,   599186.36,  5283374.61,      55.173181,       -0.001351,   86393.39,  260065.05,       0.00,              334.13,   -11.84,      0.00,           43683.39,    -13.35,    -12.15,          14.31,  +2.01,  -0.07
  1,     UK0026,       0,  0.053301, 2459522.405432594940, 189.03818,  55.01517,                0.15597,  17.99946,         0.15021,       18.00260,    189.03818,     +55.01517,     189.04797,      +55.01833,  3650742.99,   598300.44,  5282005.83,      55.171384,       -0.013630,   84866.97,  259341.02,    1727.03,             2061.16,    14.65,  42926.88,           43683.39,    -21.13,    -19.23,          22.72,  +1.34,  -0.73
  2,     UK0026,       0,  0.093541, 2459522.405433060601, 189.42733,  54.69970,              359.92088,  17.68383,       359.94711,       17.66952,    189.42733,     +54.69970,     189.38449,      +54.68542,  3650114.71,   597322.91,  5280495.52,      55.169398,       -0.027168,   83182.82,  258553.23,    3632.64,             3966.77,   219.37,  47356.08,           43683.39,     96.16,     87.42,         103.68,  +1.33,  -0.73
  3,     UK0026,       0,  0.133765, 2459522.405433526263, 189.68069,  54.41119,              359.76594,  17.39574,       359.77681,       17.38981,    189.68069,     +54.41119,     189.66341,      +54.40531,  3649590.32,   596507.03,  5279234.96,      55.167739,       -0.038499,   81777.25,  257904.71,    5223.13,             5557.26,   109.65,  39540.84,           43683.39,     39.80,     36.20,          43.03,  +1.49,  -0.57
  4,     UK0026,       0,  0.173937, 2459522.405433990993, 189.88771,  54.19007,              359.63818,  17.17526,       359.64409,       17.17204,    189.88771,     +54.19007,     189.87879,      +54.18688,  3649184.06,   595874.94,  5278258.36,      55.166453,       -0.047318,   80688.33,  257407.96,    6455.34,             6789.47,  -356.15,  30673.29,           40793.57,     21.61,     19.66,          23.41,  +3.24,  +1.19

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.