Orbital Analysis for matched events on 20210816_230518.588_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 13.33° Bg 63.65° Vg 38.73km/s
mass 0.01666g, abs. mag -0.0
Path Details
------------
start -1.79° 51.66° 106.10km
end   -1.82° 51.64° 93.45km

Orbit Details
-------------
Semimajor axis 6.04A.U., eccentricity 0.85, inclination 64.75°, Period 14.86Y, LA Sun 143.99°, last Perihelion 2006-11-02

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: 2459443.462020704057
Time: 2021-08-16 23:05:18.588831 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0002 and UK000S
 Convergence angle = 47.68764 deg
 R.A. = 329.41244  Dec = +59.48702 deg

Best intersection: Stations UK0002 and UK000S with Qconv = 47.69 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2595835.00 +/- 41.11 m
 Y =  -3083431.98 +/- 31.25 m
 Z =   5062606.55 +/- 287.44 m
 Vx =    17363.78 +/- 690.86 m/s
 Vy =   -10667.85 +/- 119.12 m/s
 Vz =    34754.81 +/- 852.29 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.894126e+03, -5.952119e+02, +1.306243e+03, -2.280076e+03, +1.156422e+03, -6.586801e+03
-5.952119e+02, +8.735900e+02, -1.675746e+03, +2.133816e+03, +3.869354e+02, +5.597526e+03
+1.306243e+03, -1.675746e+03, +6.041514e+04, -7.377752e+04, +4.715863e+04, +3.823077e+04
-2.280076e+03, +2.133816e+03, -7.377752e+04, +1.549869e+05, -9.520324e+04, +7.606481e+04
+1.156422e+03, +3.869354e+02, +4.715863e+04, -9.520324e+04, +6.951301e+04, -3.493993e+04
-6.586801e+03, +5.597526e+03, +3.823077e+04, +7.606481e+04, -3.493993e+04, +3.608968e+05

Timing offsets (from input data):
    UK0002: -0.000569 s
    UK000S: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 23:05:18.588831 UTC
  Lon     = +-1.789798 +/- 0.0004 deg
  Lat     = +51.659078 +/- 0.0016 deg
  Lat geo = +51.474759 +/- 0.0016 deg
  Ht      =  106087.07 +/- 226.54 m

  JD dynamic   = 2459443.462821444962 
  LST apparent = 310.0928689076 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 328.43454 +/- 0.2678 deg
  Dec       = +59.61413 +/- 0.7980 deg
  Azimuth   =  45.11214 +/- 2.6722 deg
  Elevation = +77.01678 +/- 0.5027 deg
  Vavg      =  39.65594 +/- 0.5628 km/s
  Vinit     =  40.28897 +/- 0.6721 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 329.21532 +/- 0.2678 deg
  Dec       = +59.49847 +/- 0.7980 deg
  Azimuth   =  46.39538 +/- 2.6722 deg
  Elevation = +76.72534 +/- 0.5027 deg
  Vavg      =  39.70377 +/- 0.5628 km/s
  Vinit     =  40.33679 +/- 0.6721 km/s
Radiant (geocentric, J2000):
  R.A.   = 328.70971 +/- 0.2768 deg
  Dec    = +59.64130 +/- 0.8105 deg
  Vg     =  38.72998 +/- 0.6989 km/s
  Vinf   =  40.28897 +/- 0.6721 km/s
  Zc     =  13.11394 +/- 0.5079 deg
  Zg     =  13.37380 +/- 0.5138 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  13.33450 +/- 1.5789 deg
  Bg     = +63.64927 +/- 0.4618 deg
  Vh     =  40.06976 +/- 0.4896 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 269.17545 +/- 1.1496 deg
  Bh     = +60.01241 +/- 0.9079 deg
  Vh_x   =   0.28821 +/- 0.3859 km/s
  Vh_y   =  20.02529 +/- 0.4152 km/s
  Vh_z   = -34.70577 +/- 0.6940 km/s
Orbit:
  La Sun = 143.994801 +/- -0.0000 deg
  a      =   6.043754 +/- 2.6144 AU
  e      =   0.847631 +/- 0.0408
  i      =  64.748290 +/- 0.7980 deg
  peri   = 216.600143 +/- 1.9931 deg
  node   = 143.996858 +/- 0.0001 deg
  Pi     =   0.597002 +/- 1.9932 deg
  q      =   0.920878 +/- 0.0079 AU
  f      = 323.395793 +/- 1.9932 deg
  M      = 358.291623 +/- 0.6855 deg
  Q      =  11.166629 +/- 5.2255 AU
  n      =   0.066335 +/- 0.0253 deg/day
  T      =  14.858015 +/- 11.6844 years
  Last perihelion JD = 2454042.231974 (2006-11-02 17:34:02.548782) +/- 4268.7738 days
  Tj     =   1.348936 +/- 0.2384
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.592368e-03, +4.800836e-05, -1.628869e+02, -3.523043e-08, -5.047920e-04, +4.513463e-04
q   , +4.800836e-05, +3.291411e-05, -6.294436e+00, -2.353444e-09, -1.345108e-04, +3.046578e-05
Tp  , -1.628869e+02, -6.294436e+00, +2.031078e+07, +3.636334e-03, +5.566110e+01, -4.670305e+01
node, -3.523043e-08, -2.353444e-09, +3.636334e-03, +8.950922e-13, +1.610413e-08, -1.147196e-08
peri, -5.047920e-04, -1.345108e-04, +5.566110e+01, +1.610413e-08, +6.127414e-04, -2.074783e-04
i   , +4.513463e-04, +3.046578e-05, -4.670305e+01, -1.147196e-08, -2.074783e-04, +1.470397e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.222561
 a2 = 22.060537

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 4.202e-06 s
  Stddev    = 2.05e-03 s

Begin point on the trajectory:
  Lon =    -1.789763 +/- 0.0003 deg
  Lat =    51.659100 +/- 0.0016 deg
  Ht  = 106102.19 +/- 217.69 m
End point on the trajectory:
  Lon =    -1.820529 +/- 0.0004 deg
  Lat =    51.640865 +/- 0.0007 deg
  Ht  = 93452.66 +/- 87.44 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
    UK0002,   False,     0.265820,    50.757180,   60.00,   0.844169,  17.413917,   100533.26,    94389.35,          0.013840,     48.07,      7.70,              61.66, 1.0000,    True,    True, {"ff_name": "FF_UK0002_20210816_230519_578_0285440.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.034066,  28.004363,   106102.19,    93452.66,          0.017187,     28.64,     27.86,              31.62, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210816_230513_498_0270080.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,     UK0002,       0,  0.132776, 2459443.462022240739, 215.17175,  43.92476,              305.32241,  28.81038,       305.32134,       28.81062,    215.17175,     +43.92476,     215.17289,      +43.92426,  2593378.60, -3081922.84,  5057689.90,      51.651082,       -1.803258,  100533.26,  203411.80,       0.00,             5699.54,    85.43,      0.00,           38441.94,     -0.54,      3.39,           3.48,  +2.75,  +1.21
  1,     UK0002,       0,  0.173116, 2459443.462022707798, 214.87449,  43.59940,              305.22832,  28.42943,       305.21010,       28.43350,    214.87449,     +43.59940,     214.89417,      +43.59083,  2592714.83, -3081515.03,  5056361.32,      51.648918,       -1.806917,   99032.51,  202724.92,    1540.14,             7239.68,     0.31,  38178.91,           38441.94,     -9.26,     57.76,          59.52,  +2.09,  +0.56
  2,     UK0002,       0,  0.213476, 2459443.462023174856, 214.59757,  43.23737,              305.09605,  28.03200,       305.09287,       28.03272,    214.59757,     +43.23737,     214.60131,      +43.23588,  2592014.30, -3081084.64,  5054959.15,      51.646634,       -1.810770,   97448.65,  202009.73,    3165.58,             8865.12,    -0.31,  40273.59,           38441.94,     -1.62,     10.09,          10.43,  +2.31,  +0.78
  3,     UK0002,       0,  0.253800, 2459443.462023641448, 214.31562,  42.92364,              305.00870,  27.66476,       304.98725,       27.66955,    214.31562,     +42.92364,     214.33910,      +42.91358,  2591384.13, -3080697.49,  5053697.84,      51.644578,       -1.814254,   96023.88,  201376.31,    4627.74,            10327.28,  -162.76,  36260.29,           38441.94,    -10.91,     68.00,          70.54,  +2.97,  +1.45
  4,     UK0002,       0,  0.294176, 2459443.462024108972, 214.05879,  42.53223,              304.84782,  27.25438,       304.86644,       27.25021,    214.05879,     +42.53223,     214.03955,      +42.54094,  2590661.18, -3080253.33,  5052250.80,      51.642218,       -1.818229,   94389.35,  200659.04,    6305.19,            12004.74,  -112.02,  41545.76,           38906.21,      9.43,    -59.01,          61.43,  +5.69,  +4.18
  0,     UK000S,       0,  0.000000, 2459443.462020704057, 142.42954,  88.41678,              359.48173,  49.30956,       359.48731,       49.30840,    142.42954,     +88.41678,     142.29158,      +88.41639,  2595841.68, -3083436.09,  5062619.92,      51.659100,       -1.789763,  106102.19,  139066.87,       0.00,               15.51,  -249.18,      0.00,           43994.96,      6.46,     -6.64,          13.74,  +4.26,  +3.54
  1,     UK000S,       0,  0.040332, 2459443.462021171115, 143.11532,  88.02208,              359.32237,  48.92830,       359.29808,       48.93333,    143.11532,     +88.02208,     143.59823,      +88.02347,  2595072.66, -3082963.62,  5061080.67,      51.656598,       -1.793970,  104363.45,  137556.33,    1784.35,             1768.84,  -120.78,  44241.58,           43994.96,    -28.03,     28.78,          60.24,  +3.91,  +3.22
  2,     UK000S,       0,  0.080692, 2459443.462021638174, 145.23204,  87.57669,              359.04560,  48.51409,       359.08674,       48.50555,    145.23204,     +87.57669,     144.55772,      +87.57503,  2594216.36, -3082437.53,  5059366.74,      51.653811,       -1.798637,  102427.40,  135882.22,    3771.21,             3755.70,   240.01,  49228.32,           43994.96,     47.22,    -48.56,         102.82,  +2.47,  +1.80
  3,     UK000S,       0,  0.120984, 2459443.462022104301, 144.91092,  87.23236,              358.93973,  48.17671,       358.92627,       48.17950,    144.91092,     +87.23236,     145.10531,      +87.23288,  2593578.09, -3082045.40,  5058089.20,      51.651732,       -1.802160,  100984.30,  134639.96,    5252.17,             5236.67,    97.66,  36755.89,           43994.96,    -15.41,     15.83,          33.85,  +1.75,  +1.10
  4,     UK000S,       0,  0.161276, 2459443.462022570893, 145.99798,  86.86991,              358.72350,  47.83973,       358.75817,       47.83254,    145.99798,     +86.86991,     145.55256,      +86.86887,  2592912.00, -3081636.17,  5056755.96,      51.649561,       -1.805830,   99478.29,  133348.76,    6797.71,             6782.20,    19.87,  38358.33,           42319.97,     39.51,    -40.64,          87.68,  +1.50,  +0.88
  5,     UK000S,       0,  0.201572, 2459443.462023037020, 146.01719,  86.51581,              358.58685,  47.49779,       358.59688,       47.49571,    146.01719,     +86.51581,     145.90102,      +86.51553,  2592277.89, -3081246.59,  5055486.75,      51.647494,       -1.809334,   98044.60,  132124.69,    8269.02,             8253.51,  -132.30,  36512.64,           41011.97,     11.39,    -11.71,          25.50,  +1.42,  +0.82
  6,     UK000S,       0,  0.241916, 2459443.462023504078, 146.29846,  86.10059,              358.40346,  47.10123,       358.41111,       47.09964,    146.29846,     +86.10059,     146.21888,      +86.10041,  2591547.44, -3080797.82,  5054024.70,      51.645111,       -1.813345,   96393.11,  130720.97,    9963.88,             9948.37,   -62.87,  42010.11,           40651.59,      8.66,     -8.91,          19.61,  +1.35,  +0.77
  7,     UK000S,       0,  0.282252, 2459443.462023971137, 146.65523,  85.68951,              358.21066,  46.71098,       358.22960,       46.70707,    146.65523,     +85.68951,     146.47546,      +85.68912,  2590839.07, -3080362.62,  5052606.86,      51.642799,       -1.817243,   94791.54,  129366.40,   11607.49,            11591.98,   -44.35,  40748.06,           40509.48,     21.35,    -21.96,          48.83,  +2.24,  +1.68
  8,     UK000S,       0,  0.322552, 2459443.462024437264, 146.36577,  85.33761,              358.10986,  46.36525,       358.07576,       46.37228,    146.36577,     +85.33761,     146.66857,      +85.33833,  2590246.89, -3079998.80,  5051421.57,      51.640865,       -1.820529,   93452.66,  128239.25,   12981.51,            12966.01,  -293.97,  34094.86,           40015.72,    -38.34,     39.39,          88.41,  +3.11,  +2.57

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.