Orbital Analysis for matched events on 20211103_203950.964_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 61.72° Bg 77.30° Vg 26.52km/s
mass 0.02225g, abs. mag 0.9
best visual mag 1.7
Path Details
------------
start -1.48° 53.74° 83.96km
end   -1.46° 53.72° 78.94km

Orbit Details
-------------
Semimajor axis 2.96A.U., eccentricity 0.67, inclination 42.73°, Period 5.09Y, LA Sun 221.35°, last Perihelion 2016-10-19

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: 2459522.361006529070
Time: 2021-11-03 20:39:50.964112 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002X and UK002Z
 Convergence angle = 77.50023 deg
 R.A. = 301.32245  Dec = +75.99335 deg

Best intersection: Stations UK002X and UK002Z with Qconv = 77.50 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3791325.43 +/- 40.65 m
 Y =   -546065.04 +/- 28.00 m
 Z =   5187285.73 +/- 23.47 m
 Vx =     3562.54 +/- 340.66 m/s
 Vy =    -5920.56 +/- 197.79 m/s
 Vz =    27917.60 +/- 92.26 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.930479e+03, +6.571177e+02, -7.033891e+02, +1.286429e+04, +3.788158e+03, -1.896879e+03
+6.571177e+02, +8.269227e+02, -3.737567e+02, +3.804717e+03, +4.251716e+03, -1.084866e+01
-7.033891e+02, -3.737567e+02, +6.534009e+02, -3.521544e+03, -8.236569e+02, +6.666308e+02
+1.286429e+04, +3.804717e+03, -3.521544e+03, +1.213955e+05, +3.129464e+04, -1.746548e+04
+3.788158e+03, +4.251716e+03, -8.236569e+02, +3.129464e+04, +4.972327e+04, +5.840239e+03
-1.896879e+03, -1.084866e+01, +6.666308e+02, -1.746548e+04, +5.840239e+03, +6.121031e+03

Timing offsets (from input data):
    UK002X: 0.000000 s
    UK002Z: 0.000131 s

Reference point on the trajectory:
  Time: 2021-11-03 20:39:50.964112 UTC
  Lon     = +-1.479571 +/- 0.0005 deg
  Lat     = +53.738053 +/- 0.0004 deg
  Lat geo = +53.556720 +/- 0.0004 deg
  Ht      =   83952.72 +/- 19.46 m

  JD dynamic   = 2459522.361807269976 
  LST apparent = 351.8040461824 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 301.03632 +/- 2.7750 deg
  Dec       = +76.09835 +/- 0.4046 deg
  Azimuth   = 337.60530 +/- 0.8004 deg
  Elevation = +60.75997 +/- 0.6840 deg
  Vavg      =  28.70404 +/- 0.1669 km/s
  Vinit     =  28.75999 +/- 0.0434 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 302.54819 +/- 2.7750 deg
  Dec       = +76.51298 +/- 0.4046 deg
  Azimuth   = 338.66650 +/- 0.8004 deg
  Elevation = +60.94112 +/- 0.6840 deg
  Vavg      =  28.65337 +/- 0.1669 km/s
  Vinit     =  28.70932 +/- 0.0434 km/s
Radiant (geocentric, J2000):
  R.A.   = 296.32956 +/- 2.9571 deg
  Dec    = +76.42206 +/- 0.4092 deg
  Vg     =  26.52377 +/- 0.0470 km/s
  Vinf   =  28.75999 +/- 0.0434 km/s
  Zc     =  29.40776 +/- 0.6840 deg
  Zg     =  30.62408 +/- 0.7110 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.72436 +/- 3.0268 deg
  Bg     = +77.30207 +/- 0.5506 deg
  Vh     =  38.58430 +/- 0.1641 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 323.24530 +/- 0.5491 deg
  Bh     = +42.11422 +/- 0.3159 deg
  Vh_x   = -22.93224 +/- 0.3199 km/s
  Vh_y   =  17.12724 +/- 0.1947 km/s
  Vh_z   = -25.87504 +/- 0.0830 km/s
Orbit:
  La Sun = 221.348889 +/- -0.0000 deg
  a      =   2.957660 +/- 0.1300 AU
  e      =   0.674374 +/- 0.0140
  i      =  42.733775 +/- 0.2847 deg
  peri   = 201.903222 +/- 1.0081 deg
  node   = 221.348216 +/- 0.0000 deg
  Pi     =  63.251438 +/- 1.0081 deg
  q      =   0.963092 +/- 0.0025 AU
  f      = 338.096994 +/- 1.0081 deg
  M      = 356.791827 +/- 0.2299 deg
  Q      =   4.952228 +/- 0.2605 AU
  n      =   0.193768 +/- 0.0122 deg/day
  T      =   5.086547 +/- 0.3392 years
  Last perihelion JD = 2457681.025070 (2016-10-19 12:36:06.075557) +/- 123.8925 days
  Tj     =   2.577321 +/- 0.0678
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.950145e-04, -1.058408e-05, -1.688982e+00, -2.104197e-08, +2.813985e-03, -3.785264e-03
q   , -1.058408e-05, +7.514943e-06, +6.181880e-02, +2.251325e-09, -2.997344e-03, +4.046530e-04
Tp  , -1.688982e+00, +6.181880e-02, +1.482281e+04, +1.763077e-04, -1.215696e+01, +3.171623e+01
node, -2.104197e-08, +2.251325e-09, +1.763077e-04, +2.612360e-12, -7.635731e-07, +4.698247e-07
peri, +2.813985e-03, -2.997344e-03, -1.215696e+01, -7.635731e-07, +1.207610e+00, -1.372714e-01
i   , -3.785264e-03, +4.046530e-04, +3.171623e+01, +4.698247e-07, -1.372714e-01, +8.450450e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 2.708324
 a2 = 8.002969

Mean time residuals from time vs. length:
  Station with reference time: UK002X
  Avg. res. = 3.902e-06 s
  Stddev    = 1.98e-03 s

Begin point on the trajectory:
  Lon =    -1.479603 +/- 0.0004 deg
  Lat =    53.738100 +/- 0.0003 deg
  Ht  = 83962.83 +/- 19.87 m
End point on the trajectory:
  Lon =    -1.464401 +/- 0.0005 deg
  Lat =    53.715003 +/- 0.0003 deg
  Ht  = 78935.30 +/- 17.92 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
    UK002X,   False,    -3.059440,    54.994170,   18.00,   2.003714,   9.698560,    83962.83,    78935.30,          0.011155,     31.11,     21.38,              92.27, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20211103_203950_769_0316416.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   3.706563,   6.257424,    83544.45,    79501.55,          0.022760,     43.77,      8.53,              31.21, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20211103_203944_804_0326400.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,     UK002X,       0,  0.000000, 2459522.361006529070,  23.34699,  -4.07785,              143.06625,  24.89633,       143.06096,       24.89579,     23.34699,      -4.07785,      23.35161,       -4.07670,  3791326.86,  -546067.43,  5187296.98,      53.738100,       -1.479603,   83962.83,  193727.88,       0.00,               11.59,    50.18,      0.00,           28062.32,      9.23,    -13.44,          17.36,  +3.04,  +1.60
  1,     UK002X,       0,  0.040280, 2459522.361006995197,  23.43160,  -4.40072,              143.10188,  24.56418,       143.10513,       24.56452,     23.43160,      -4.40072,      23.42881,       -4.40143,  3791186.75,  -545834.58,  5186199.01,      53.733569,       -1.476623,   82975.88,  193767.10,    1131.10,             1119.52,    -0.35,  28081.00,           28062.32,     -5.69,      8.28,          10.69,  +2.32,  +0.88
  2,     UK002X,       0,  0.080568, 2459522.361007461324,  23.49471,  -4.73977,              143.16560,  24.22426,       143.15036,       24.22271,     23.49471,      -4.73977,      23.50860,       -4.73643,  3791042.14,  -545594.24,  5185065.73,      53.728891,       -1.473541,   81957.21,  193814.66,    2298.58,             2286.99,     8.45,  28978.33,           28062.32,     26.81,    -39.00,          50.37,  +2.49,  +1.05
  3,     UK002X,       0,  0.120840, 2459522.361007927451,  23.58383,  -5.04575,              143.18996,  23.90644,       143.19218,       23.90667,     23.58383,      -5.04575,      23.58227,       -5.04623,  3790908.33,  -545371.88,  5184017.20,      53.724561,       -1.470701,   81014.76,  193864.44,    3378.75,             3367.16,   -69.61,  26821.72,           28062.32,     -3.92,      5.71,           7.37,  +1.81,  +0.37
  4,     UK002X,       0,  0.161148, 2459522.361008394044,  23.68802,  -5.39313,              143.21452,  23.54459,       143.23910,       23.54710,     23.68802,      -5.39313,      23.66650,       -5.39855,  3790756.07,  -545118.83,  5182823.98,      53.719633,       -1.467447,   79942.30,  193929.18,    4607.97,             4596.38,     0.36,  30495.77,           28455.84,    -43.46,     63.27,          81.64,  +1.91,  +0.47
  5,     UK002X,       0,  0.201428, 2459522.361008860171,  23.74412,  -5.72928,              143.28371,  23.20980,       143.28307,       23.20974,     23.74412,      -5.72928,      23.74546,       -5.72914,  3790613.09,  -544881.21,  5181703.56,      53.715003,       -1.464401,   78935.30,  193996.65,    5762.20,             5750.62,    -3.86,  28655.26,           28596.72,      1.13,     -1.65,           2.13,  +2.46,  +1.02
  0,     UK002Z,       0,  0.016888, 2459522.361006730236, 285.73564,  45.34011,              287.42607,  47.23669,       287.38782,       47.26432,    285.73564,     +45.34011,     285.78917,      +45.33549,  3791267.47,  -545968.72,  5186831.54,      53.736179,       -1.478341,   83544.45,  113083.08,       0.00,              467.90,    20.79,      0.00,           27861.82,     14.31,     73.44,         136.48,  +3.45,  +3.18
  1,     UK002Z,       0,  0.057092, 2459522.361007195432, 285.74450,  45.00963,              287.02939,  47.04575,       287.03949,       47.03848,    285.74450,     +45.00963,     285.73061,      +45.01083,  3791117.24,  -545719.05,  5185654.26,      53.731320,       -1.475133,   82486.22,  112057.17,    1212.80,             1680.70,    77.32,  30166.09,           27861.82,     -3.76,    -19.21,          36.03,  +2.85,  +2.60
  2,     UK002Z,       0,  0.097300, 2459522.361007661093, 285.63949,  44.75181,              286.79142,  46.83220,       286.76009,       46.85464,    285.63949,     +44.75181,     285.68320,      +44.74807,  3790997.98,  -545520.87,  5184719.74,      53.727462,       -1.472620,   81646.23,  111246.94,    2175.52,             2643.42,  -116.34,  23943.51,           27861.82,     11.53,     59.14,         111.72,  +2.68,  +2.45
  3,     UK002Z,       0,  0.137536, 2459522.361008126754, 285.61136,  44.40635,              286.40605,  46.60872,       286.39816,       46.61435,    285.61136,     +44.40635,     285.62273,      +44.40542,  3790844.57,  -545265.92,  5183517.56,      53.722498,       -1.469340,   80565.68,  110206.11,    3413.98,             3881.87,   -35.07,  30779.82,           27861.82,      2.88,     14.76,          28.14,  +1.71,  +1.50
  4,     UK002Z,       0,  0.177772, 2459522.361008592416, 285.56942,  44.06087,              286.03278,  46.37585,       286.03817,       46.37202,    285.56942,     +44.06087,     285.56271,      +44.06150,  3790693.49,  -545014.83,  5182333.59,      53.717606,       -1.466112,   79501.55,  109185.12,    4633.67,             5101.57,    27.44,  30313.53,           28513.77,     -1.95,     -9.98,          19.22,  +2.68,  +2.49

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.