Orbital Analysis for matched events on 20211103_011641.541_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 110.12° Bg 56.00° Vg 41.26km/s
mass 0.03276g, abs. mag -0.2
best visual mag 1.5
Path Details
------------
start -3.61° 53.42° 94.93km
end   -3.64° 53.38° 88.30km

Orbit Details
-------------
Semimajor axis 1.87A.U., eccentricity 0.51, inclination 76.19°, Period 2.55Y, LA Sun 220.54°, last Perihelion 2019-05-17

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: 2459521.553258585278
Time: 2021-11-03 01:16:41.541768 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003X
 Convergence angle = 15.89990 deg
 R.A. = 141.07302  Dec = +76.90476 deg

Best intersection: Stations UK001L and UK003X with Qconv = 15.90 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2043497.44 +/- 118.37 m
 Y =   3281796.44 +/- 214.01 m
 Z =   5174663.43 +/- 254.86 m
 Vx =    -7952.33 +/- 627.48 m/s
 Vy =     6768.52 +/- 1649.53 m/s
 Vz =    41434.00 +/- 1593.28 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.834250e+04, -3.099236e+04, +3.572352e+04, +5.854305e+04, -8.775535e+04, +1.207458e+05
-3.099236e+04, +5.495388e+04, -6.416492e+04, -9.295808e+04, +1.622507e+05, -2.068592e+05
+3.572352e+04, -6.416492e+04, +7.671833e+04, +1.155663e+05, -2.098732e+05, +2.698978e+05
+5.854305e+04, -9.295808e+04, +1.155663e+05, +4.728558e+05, -7.408901e+05, +8.741489e+05
-8.775535e+04, +1.622507e+05, -2.098732e+05, -7.408901e+05, +1.429933e+06, -1.515543e+06
+1.207458e+05, -2.068592e+05, +2.698978e+05, +8.741489e+05, -1.515543e+06, +1.926509e+06

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK003X: 0.002010 s

Reference point on the trajectory:
  Time: 2021-11-03 01:16:41.541768 UTC
  Lon     = +-3.607766 +/- 0.0031 deg
  Lat     = +53.418068 +/- 0.0022 deg
  Lat geo = +53.236423 +/- 0.0022 deg
  Ht      =   94908.39 +/- 133.72 m

  JD dynamic   = 2459521.554059326183 
  LST apparent = 58.0904494344 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 139.59767 +/- 6.1068 deg
  Dec       = +75.85407 +/- 2.0497 deg
  Azimuth   =  23.76604 +/- 3.6273 deg
  Elevation = +53.14595 +/- 0.6232 deg
  Vavg      =  41.29200 +/- 1.5742 km/s
  Vinit     =  42.72972 +/- 1.3569 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 139.82016 +/- 6.1068 deg
  Dec       = +75.49201 +/- 2.0497 deg
  Azimuth   =  24.34028 +/- 3.6273 deg
  Elevation = +53.02286 +/- 0.6232 deg
  Vavg      =  41.36102 +/- 1.5742 km/s
  Vinit     =  42.79873 +/- 1.3569 km/s
Radiant (geocentric, J2000):
  R.A.   = 141.69814 +/- 6.5711 deg
  Dec    = +75.81221 +/- 2.0344 deg
  Vg     =  41.26032 +/- 1.4001 km/s
  Vinf   =  42.72972 +/- 1.3569 km/s
  Zc     =  37.02036 +/- 0.6259 deg
  Zg     =  37.69153 +/- 0.6095 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 110.12134 +/- 1.4419 deg
  Bg     = +56.00468 +/- 2.1980 deg
  Vh     =  36.23436 +/- 2.1536 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 355.79163 +/- 2.5455 deg
  Bh     = +70.74964 +/- 0.3744 deg
  Vh_x   = -11.91414 +/- 0.7288 km/s
  Vh_y   =   0.87667 +/- 0.6731 km/s
  Vh_z   = -34.20838 +/- 2.0189 km/s
Orbit:
  La Sun = 220.539636 +/- -0.0000 deg
  a      =   1.866131 +/- 12.4537 AU
  e      =   0.511998 +/- 0.1800
  i      =  76.187619 +/- 0.7076 deg
  peri   = 220.754713 +/- 5.1652 deg
  node   = 220.540421 +/- 0.0000 deg
  Pi     =  81.295133 +/- 5.1653 deg
  q      =   0.910676 +/- 0.0122 AU
  f      = 319.246047 +/- 5.1652 deg
  M      = 348.021411 +/- nan deg
  Q      =   2.821587 +/- 24.9103 AU
  n      =   0.386626 +/- 0.1130 deg/day
  T      =   2.549259 +/- nan years
  Last perihelion JD = 2458621.403544 (2019-05-17 21:41:06.231242) +/- 9954.3297 days
  Tj     =   3.034406 +/- 0.9902
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.208000e-02, +1.672667e-03, -1.034641e+03, -9.349471e-07, -7.387881e-01, -6.798568e-02
q   , +1.672667e-03, +1.441346e-04, -6.904571e+01, -8.797272e-08, -6.091342e-02, -6.393975e-03
Tp  , -1.034641e+03, -6.904571e+01, +9.517588e+07, +3.877196e-02, +3.050242e+04, +2.818973e+03
node, -9.349471e-07, -8.797272e-08, +3.877196e-02, +9.297553e-11, +3.639922e-05, +6.740745e-06
peri, -7.387881e-01, -6.091342e-02, +3.050242e+04, +3.639922e-05, +2.627436e+01, +2.645644e+00
i   , -6.798568e-02, -6.393975e-03, +2.818973e+03, +6.740745e-06, +2.645644e+00, +4.887221e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.283908
 a2 = 28.052710

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 1.293e-05 s
  Stddev    = 3.60e-03 s

Begin point on the trajectory:
  Lon =    -3.607682 +/- 0.0032 deg
  Lat =    53.418182 +/- 0.0022 deg
  Ht  = 94927.12 +/- 127.70 m
End point on the trajectory:
  Lon =    -3.638198 +/- 0.0028 deg
  Lat =    53.377881 +/- 0.0019 deg
  Ht  = 88300.51 +/- 102.84 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,   5.976566,  19.651123,    94927.12,    88300.51,          0.008648,     37.53,      1.59,              53.71, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20211103_011639_663_0729088.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.308659,  36.725010,    94210.24,    88898.90,          0.028478,    109.29,     33.91,              41.26, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20211103_011635_504_0721152.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,  0.000000, 2459521.553258585278, 302.43276,  45.65115,              318.55573,  21.11889,       318.55174,       21.12209,    302.43276,     +45.65115,     302.43966,      +45.65157,  2043493.08,  3281800.15,  5174686.14,      53.418182,       -3.607682,   94927.12,  251433.44,       0.00,               23.42,    50.81,      0.00,           42016.71,     -0.91,     21.51,          17.66,  +2.66,  +0.66
  1,     UK001L,       0,  0.040188, 2459521.553259050474, 302.48844,  45.31925,              318.31413,  20.87231,       318.31810,       20.86914,    302.48844,     +45.31925,     302.48161,      +45.31884,  2043811.97,  3281528.73,  5173024.60,      53.409853,       -3.613988,   93556.09,  250536.36,    1713.49,             1690.08,     0.25,  42636.98,           42016.71,      0.90,    -21.29,          17.54,  +2.70,  +0.71
  2,     UK001L,       0,  0.080404, 2459521.553259516135, 302.50710,  44.97378,              318.08722,  20.59939,       318.07737,       20.60725,    302.50710,     +44.97378,     302.52442,      +44.97480,  2044139.36,  3281250.08,  5171318.83,      53.401298,       -3.620458,   92148.72,  249624.13,    3472.61,             3449.19,    40.94,  43741.61,           42016.71,     -2.25,     52.77,          43.64,  +1.90,  -0.09
  3,     UK001L,       0,  0.120572, 2459521.553259980865, 302.57427,  44.66610,              317.85452,  20.37708,       317.86149,       20.37151,    302.57427,     +44.66610,     302.56264,      +44.66538,  2044431.60,  3281001.34,  5169796.16,      53.393658,       -3.626251,   90892.55,  248818.30,    5042.89,             5019.47,  -105.14,  39092.88,           42016.71,      1.57,    -37.27,          30.92,  +1.85,  -0.13
  4,     UK001L,       0,  0.160780, 2459521.553260446526, 302.58604,  44.33532,              317.64208,  20.11296,       317.63266,       20.12046,    302.58604,     +44.33532,     302.60277,      +44.33628,  2044740.45,  3280738.47,  5168186.96,      53.385580,       -3.632365,   89565.12,  247974.27,    6702.41,             6679.00,  -163.69,  41273.44,           41633.30,     -2.13,     50.12,          41.73,  +2.01,  +0.04
  5,     UK001L,       0,  0.200960, 2459521.553260911256, 302.63079,  44.02000,              317.41929,  19.87500,       317.41380,       19.87937,    302.63079,     +44.02000,     302.64092,      +44.02056,  2045034.71,  3280488.01,  5166653.77,      53.377881,       -3.638198,   88300.51,  247178.15,    8283.55,             8260.14,  -299.43,  39351.47,           41197.91,     -1.24,     29.18,          24.37,  +5.08,  +3.11
  0,     UK003X,       0,  0.024292, 2459521.553258844186, 280.21229,  56.20545,              336.70013,  23.03512,       336.73619,       23.00851,    280.21229,     +56.20545,     280.13766,      +56.19618,  2043659.82,  3281658.23,  5173817.37,      53.413827,       -3.610985,   94210.24,  231709.18,       0.00,              872.51,  -138.09,      0.00,           44688.19,     50.95,   -164.31,         153.14,  +2.16,  +0.34
  1,     UK003X,       0,  0.064428, 2459521.553259308916, 280.32521,  55.88278,              336.48422,  22.77333,       336.51198,       22.75288,    280.32521,     +55.88278,     280.26834,      +55.87570,  2044002.56,  3281366.51,  5172031.58,      53.404873,       -3.617750,   92736.77,  230426.61,    1841.64,             2714.15,   -11.45,  45884.97,           44688.19,     39.06,   -125.87,         117.97,  +1.91,  +0.10
  2,     UK003X,       0,  0.104572, 2459521.553259773180, 280.38790,  55.57151,              336.30119,  22.50951,       336.30011,       22.51031,    280.38790,     +55.57151,     280.39044,      +55.57179,  2044323.89,  3281093.02,  5170357.39,      53.396474,       -3.624103,   91355.54,  229231.42,    3568.18,             4440.69,    -0.25,  43008.65,           44688.19,     -1.52,      4.88,           4.60,  +1.51,  -0.29
  3,     UK003X,       0,  0.144676, 2459521.553260237444, 280.56837,  55.25159,              336.04911,  22.26760,       336.07362,       22.24958,    280.56837,     +55.25159,     280.51921,      +55.24543,  2044665.22,  3280802.50,  5168578.96,      53.387548,       -3.630841,   89888.47,  227969.03,    5402.23,             6274.74,   120.16,  45732.26,           44688.19,     34.16,   -110.09,         104.29,  +1.76,  -0.03
  4,     UK003X,       0,  0.184804, 2459521.553260702174, 280.57526,  55.01880,              335.93437,  22.06044,       335.91899,       22.07173,    280.57526,     +55.01880,     280.60693,      +55.02264,  2044895.47,  3280606.53,  5167379.27,      53.381525,       -3.635442,   88898.90,  227123.31,    6639.43,             7511.95,  -357.29,  30831.52,           41965.31,    -21.43,     68.82,          65.46,  +3.06,  +1.28
  5,     UK003X,       1,  0.224876, 2459521.553261165973, 280.62041,  54.85519,              335.83145,  21.92504,       335.80681,       21.94310,    280.62041,     +54.85519,     280.67073,      +54.86132,  2045060.64,  3280465.94,  5166518.69,      53.377202,       -3.638789,   88189.06,  226520.10,    7526.93,             8399.44, -1182.06,  22147.50,           38360.24,    -34.27,    109.95,         104.87,  +5.42,  +3.64

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.