Orbital Analysis for matched events on 20211103_020211.879_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 111.10° Bg 38.85° Vg 58.56km/s
mass 0.00404g, abs. mag 0.8
best visual mag 1.5
Path Details
------------
start 1.52° 51.35° 109.73km
end   1.46° 51.32° 100.87km

Orbit Details
-------------
Semimajor axis 34.10A.U., eccentricity 0.97, inclination 109.44°, Period 199.12Y, LA Sun 220.57°, last Perihelion 1822-10-14

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: 2459521.584859720897
Time: 2021-11-03 02:02:11.879885 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0004 and UK0045
 Convergence angle = 58.54942 deg
 R.A. = 123.29570  Dec = +59.77116 deg

Best intersection: Stations UK0004 and UK0045 with Qconv = 58.55 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1076765.92 +/- 191.89 m
 Y =   3914895.48 +/- 118.39 m
 Z =   5043599.06 +/- 304.47 m
 Vx =   -16710.31 +/- 500.21 m/s
 Vy =    24912.50 +/- 1439.61 m/s
 Vz =    51505.83 +/- 1783.91 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.089044e+04, -2.723559e+04, -7.586225e+04, +2.609527e+05, +7.478207e+03, -2.183603e+05
-2.723559e+04, +1.717278e+04, +4.296293e+04, -1.229726e+05, +4.222316e+03, +1.085810e+05
-7.586225e+04, +4.296293e+04, +1.223598e+05, -3.711971e+05, -1.823318e+04, +3.315496e+05
+2.609527e+05, -1.229726e+05, -3.711971e+05, +1.861715e+06, -1.350701e+05, -1.690809e+06
+7.478207e+03, +4.222316e+03, -1.823318e+04, -1.350701e+05, +2.276980e+05, +2.205590e+05
-2.183603e+05, +1.085810e+05, +3.315496e+05, -1.690809e+06, +2.205590e+05, +1.736437e+06

Timing offsets (from input data):
    UK0004: 0.000000 s
    UK0045: 0.000111 s

Reference point on the trajectory:
  Time: 2021-11-03 02:02:11.879885 UTC
  Lon     = ++1.515669 +/- 0.0030 deg
  Lat     = +51.349383 +/- 0.0013 deg
  Lat geo = +51.164711 +/- 0.0013 deg
  Ht      =  109672.17 +/- 274.06 m

  JD dynamic   = 2459521.585660461802 
  LST apparent = 74.6214403356 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 123.85213 +/- 2.1797 deg
  Dec       = +59.78282 +/- 0.4902 deg
  Azimuth   =  53.40292 +/- 1.0577 deg
  Elevation = +61.65661 +/- 1.0907 deg
  Vavg      =  61.52315 +/- 2.3500 km/s
  Vinit     =  59.60468 +/- 1.7698 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 124.21868 +/- 2.1797 deg
  Dec       = +59.59640 +/- 0.4902 deg
  Azimuth   =  53.75735 +/- 1.0577 deg
  Elevation = +61.45543 +/- 1.0907 deg
  Vavg      =  61.63663 +/- 2.3500 km/s
  Vinit     =  59.71816 +/- 1.7698 km/s
Radiant (geocentric, J2000):
  R.A.   = 123.90647 +/- 2.1766 deg
  Dec    = +59.82954 +/- 0.4942 deg
  Vg     =  58.56277 +/- 1.8026 km/s
  Vinf   =  59.60468 +/- 1.7698 km/s
  Zc     =  28.45384 +/- 1.0908 deg
  Zg     =  28.71001 +/- 1.0875 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 111.09978 +/- 1.3573 deg
  Bg     = +38.85101 +/- 0.5530 deg
  Vh     =  41.97994 +/- 1.4137 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  80.23863 +/- 4.3577 deg
  Bh     = +61.05617 +/- 0.7640 deg
  Vh_x   =  -3.44452 +/- 1.3940 km/s
  Vh_y   = -20.02214 +/- 0.9576 km/s
  Vh_z   = -36.73642 +/- 1.3519 km/s
Orbit:
  La Sun = 220.571290 +/- 0.0000 deg
  a      =  34.099581 +/- 2054.5268 AU
  e      =   0.974994 +/- 0.1054
  i      = 109.443110 +/- 1.7062 deg
  peri   = 224.334564 +/- 6.5364 deg
  node   = 220.572964 +/- 0.0000 deg
  Pi     =  84.907528 +/- 6.5364 deg
  q      =   0.852679 +/- 0.0315 AU
  f      = 315.666373 +/- 6.5364 deg
  M      = 359.861574 +/- nan deg
  Q      =  67.346483 +/- 4109.0514 AU
  n      =   0.004950 +/- 0.0546 deg/day
  T      = 199.124274 +/- nan years
  Last perihelion JD = 2386818.144123 (1822-10-14 15:27:32.262332) +/- 216854.4159 days
  Tj     =  -0.226086 +/- 0.7273
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +7.218852e-03, +2.452701e-03, -1.227130e+04, +2.099192e-06, -5.080639e-01, +1.234565e-01
q   , +2.452701e-03, +9.579790e-04, -2.246840e+03, +7.418775e-07, -1.931673e-01, +4.360767e-02
Tp  , -1.227130e+04, -2.246840e+03, +6.728845e+10, -2.061335e+00, +5.408698e+05, -1.217531e+05
node, +2.099192e-06, +7.418775e-07, -2.061335e+00, +7.162858e-10, -1.530544e-04, +4.216966e-05
peri, -5.080639e-01, -1.931673e-01, +5.408698e+05, -1.530544e-04, +3.914990e+01, -8.998218e+00
i   , +1.234565e-01, +4.360767e-02, -1.217531e+05, +4.216966e-05, -8.998218e+00, +2.482824e+00

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: UK0004
  Avg. res. = 8.621e-06 s
  Stddev    = 2.94e-03 s

Begin point on the trajectory:
  Lon =     1.515994 +/- 0.0031 deg
  Lat =    51.349534 +/- 0.0014 deg
  Ht  = 109725.30 +/- 270.01 m
End point on the trajectory:
  Lon =     1.461181 +/- 0.0024 deg
  Lat =    51.324333 +/- 0.0012 deg
  Ht  = 100874.84 +/- 204.26 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
    UK0004,   False,     0.265784,    50.757315,   55.00,   0.000000,   0.000000,   109725.30,   100874.84,          0.029017,     35.82,     67.38,              16.53, 1.0000,    True,    True, {"ff_name": "FF_UK0004_20211103_020201_953_0804096.fits"}
    UK0045,   False,    -0.162580,    51.236418,  112.00,   0.000000,   0.000000,   107645.95,   101198.12,          0.022544,     61.40,      3.34,              25.97, 1.0000,    True,    True, {"ff_name": "FF_UK0045_20211103_020211_446_0802560.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,     UK0004,       0,  0.000000, 2459521.584859720897, 152.96925,  54.68387,               52.55960,  44.26528,        52.58614,       44.26535,    152.96925,     +54.68387,     152.95287,      +54.66739,  1076748.99,  3914920.71,  5043651.23,      51.349534,       +1.515994,  109725.30,  155752.07,       0.00,               60.37,    16.29,      0.00,           61566.82,     45.59,     24.31,          68.42,  +3.42,  +2.46
  1,     UK0004,       0,  0.040228, 2459521.584860186558, 153.39084,  54.55117,               52.55073,  43.98750,        52.58426,       43.98758,    153.39084,     +54.55117,     153.37009,      +54.53032,  1077492.90,  3913811.65,  5041358.29,      51.342895,       +1.501551,  107390.02,  153201.70,    2653.48,             2593.12,   148.08,  65961.07,           61566.82,     56.93,     30.33,          86.84,  +3.30,  +2.37
  2,     UK0004,       0,  0.080436, 2459521.584860651754, 153.78686,  54.43689,               52.52748,  43.73122,        52.58216,       43.73132,    153.78686,     +54.43689,     153.75278,      +54.40283,  1078158.62,  3912819.18,  5039306.37,      51.336947,       +1.488603,  105300.40,  150921.85,    5028.04,             4967.68,    24.25,  59056.91,           61566.82,     91.90,     48.83,         142.23,  +2.33,  +1.44
  3,     UK0004,       0,  0.120660, 2459521.584861117415, 154.18952,  54.30131,               52.52453,  43.46030,        52.58004,       43.46039,    154.18952,     +54.30131,     154.15470,      +54.26669,  1078841.06,  3911801.76,  5037202.89,      51.330845,       +1.475329,  103158.46,  148588.08,    7462.28,             7401.91,   -42.95,  60517.01,           61566.82,     92.29,     49.02,         145.06,  +1.53,  +0.67
  4,     UK0004,       0,  0.160916, 2459521.584861583542, 154.60174,  54.12273,               52.56554,  43.16178,        52.57798,       43.16182,    154.60174,     +54.12273,     154.59438,      +54.11497,  1079568.71,  3910716.94,  5034960.07,      51.324333,       +1.461181,  100874.84,  146103.94,   10057.77,             9997.40,    39.79,  64474.63,           61960.27,     20.42,     10.89,          32.68,  +2.13,  +1.31
  0,     UK0045,       0,  0.037391, 2459521.584860151634, 137.46170,  34.97126,               83.52333,  41.88559,        83.48977,       41.86878,    137.46170,     +34.97126,     137.49728,      +34.97929,  1077411.37,  3913933.20,  5041609.59,      51.343623,       +1.503128,  107645.95,  159489.54,       0.00,             2302.30,  -141.58,      0.00,           61175.19,     -4.55,    -83.70,         108.41,  +2.95,  +1.94
  1,     UK0045,       0,  0.077739, 2459521.584860618692, 137.61211,  34.58344,               83.80891,  41.53887,        83.79408,       41.53146,    137.61211,     +34.58344,     137.62805,      +34.58699,  1078120.92,  3912875.38,  5039422.57,      51.337284,       +1.489339,  105418.72,  157216.80,    2530.91,             4833.21,    -3.46,  62727.02,           61175.19,     -2.01,    -36.55,          48.03,  +2.33,  +1.35
  2,     UK0045,       0,  0.118123, 2459521.584861086216, 137.77543,  34.15681,               84.11972,  41.15710,        84.12488,       41.15966,    137.77543,     +34.15681,     137.77050,      +34.15557,  1078877.74,  3911747.07,  5037089.83,      51.330517,       +1.474636,  103043.34,  154802.19,    5230.45,             7532.75,   300.30,  66846.70,           61175.19,      0.70,     12.56,          16.76,  +1.82,  +0.87
  3,     UK0045,       0,  0.158423, 2459521.584861552808, 137.84672,  33.80340,               84.41990,  40.87944,        84.38628,       40.86272,    137.84672,     +33.80340,     137.88272,      +33.81141,  1079465.69,  3910870.52,  5035277.59,      51.325255,       +1.463172,  101198.12,  152931.06,    7327.65,             9629.95,    -0.04,  52039.75,           61175.19,     -4.40,    -81.12,         109.57,  +3.07,  +2.15

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.