Orbital Analysis for matched events on 20211103_203052.407_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 107.73° Bg 60.48° Vg 40.14km/s
mass 0.02447g, abs. mag 0.0
best visual mag 1.1
Path Details
------------
start -3.31° 49.71° 94.22km
end   -3.31° 49.64° 87.52km

Orbit Details
-------------
Semimajor axis 2.49A.U., eccentricity 0.63, inclination 71.17°, Period 3.92Y, LA Sun 221.34°, last Perihelion 2017-12-26

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: 2459522.354773232713
Time: 2021-11-03 20:30:52.447620 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003C
 Convergence angle = 40.11698 deg
 R.A. = 149.07617  Dec = +80.50220 deg

Best intersection: Stations UK0021 and UK003C with Qconv = 40.12 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4097161.28 +/- 83.61 m
 Y =   -891094.55 +/- 38.37 m
 Z =   4916124.26 +/- 48.56 m
 Vx =    -5683.51 +/- 564.82 m/s
 Vy =     3308.91 +/- 240.63 m/s
 Vz =    41128.11 +/- 122.85 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.490316e+03, +1.670688e+03, +3.212388e+03, +4.686071e+04, +1.203102e+04, +1.008608e+04
+1.670688e+03, +1.575904e+03, +1.331218e+03, +1.258863e+04, +9.007847e+03, +2.623311e+03
+3.212388e+03, +1.331218e+03, +2.533839e+03, +2.330847e+04, +9.161926e+03, +4.905141e+03
+4.686071e+04, +1.258863e+04, +2.330847e+04, +3.409590e+05, +9.926158e+04, +7.210689e+04
+1.203102e+04, +9.007847e+03, +9.161926e+03, +9.926158e+04, +6.151813e+04, +2.048243e+04
+1.008608e+04, +2.623311e+03, +4.905141e+03, +7.210689e+04, +2.048243e+04, +1.528353e+04

Timing offsets (from input data):
    UK0021: -0.000321 s
    UK003C: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 20:30:52.447620 UTC
  Lon     = +-3.303868 +/- 0.0007 deg
  Lat     = +49.726366 +/- 0.0004 deg
  Lat geo = +49.539262 +/- 0.0004 deg
  Ht      =   95568.57 +/- 80.91 m

  JD dynamic   = 2459522.355574440211 
  LST apparent = 347.7297874749 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 149.79224 +/- 3.6223 deg
  Dec       = +80.91506 +/- 0.6081 deg
  Azimuth   =   3.69537 +/- 0.6196 deg
  Elevation = +41.01712 +/- 0.7152 deg
  Vavg      =  41.03880 +/- 0.0235 km/s
  Vinit     =  41.65060 +/- 0.0485 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 147.29531 +/- 3.6223 deg
  Dec       = +80.77859 +/- 0.6081 deg
  Azimuth   =   4.25129 +/- 0.6196 deg
  Elevation = +40.99800 +/- 0.7152 deg
  Vavg      =  41.05479 +/- 0.0235 km/s
  Vinit     =  41.66659 +/- 0.0485 km/s
Radiant (geocentric, J2000):
  R.A.   = 150.64417 +/- 3.3395 deg
  Dec    = +80.08564 +/- 0.6330 deg
  Vg     =  40.14220 +/- 0.0504 km/s
  Vinf   =  41.65060 +/- 0.0485 km/s
  Zc     =  49.16960 +/- 0.7153 deg
  Zg     =  50.13643 +/- 0.7336 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 107.73426 +/- 1.7052 deg
  Bg     = +60.48408 +/- 0.2361 deg
  Vh     =  37.84274 +/- 0.2474 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 346.37972 +/- 1.4675 deg
  Bh     = +67.38297 +/- 0.6597 deg
  Vh_x   = -14.14390 +/- 0.5554 km/s
  Vh_y   =   3.42707 +/- 0.2496 km/s
  Vh_z   = -34.93248 +/- 0.0893 km/s
Orbit:
  La Sun = 221.342643 +/- -0.0000 deg
  a      =   2.487632 +/- 0.1175 AU
  e      =   0.626603 +/- 0.0218
  i      =  71.165090 +/- 0.3297 deg
  peri   = 213.386573 +/- 1.5338 deg
  node   = 221.341864 +/- 0.0000 deg
  Pi     =  74.728437 +/- 1.5338 deg
  q      =   0.928874 +/- 0.0064 AU
  f      = 326.613626 +/- 1.5338 deg
  M      = 353.755402 +/- 0.4072 deg
  Q      =   4.046389 +/- 0.2402 AU
  n      =   0.251203 +/- 0.0202 deg/day
  T      =   3.923556 +/- 0.2719 years
  Last perihelion JD = 2458114.110673 (2017-12-26 14:39:22.186316) +/- 98.7752 days
  Tj     =   2.439961 +/- 0.1019
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.063539e-04, -1.247530e-04, -2.287545e+00, -2.784025e-08, +2.670532e-02, -7.538961e-03
q   , -1.247530e-04, +4.390805e-05, +5.462693e-01, +6.019311e-09, -1.039976e-02, +1.636578e-03
Tp  , -2.287545e+00, +5.462693e-01, +1.044739e+04, +1.266290e-04, -1.151804e+02, +3.428156e+01
node, -2.784025e-08, +6.019311e-09, +1.266290e-04, +1.586639e-12, -1.226860e-06, +4.292620e-07
peri, +2.670532e-02, -1.039976e-02, -1.151804e+02, -1.226860e-06, +2.520957e+00, -3.341117e-01
i   , -7.538961e-03, +1.636578e-03, +3.428156e+01, +4.292620e-07, -3.341117e-01, +1.161450e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 9.667160
 a2 = 7.882473

Mean time residuals from time vs. length:
  Station with reference time: UK003C
  Avg. res. = 2.368e-05 s
  Stddev    = 4.87e-03 s

Begin point on the trajectory:
  Lon =    -3.305235 +/- 0.0005 deg
  Lat =    49.712640 +/- 0.0003 deg
  Ht  = 94218.32 +/- 49.18 m
End point on the trajectory:
  Lon =    -3.313027 +/- 0.0008 deg
  Lat =    49.644436 +/- 0.0004 deg
  Ht  = 87522.98 +/- 67.62 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   1.132979,  19.895056,    93572.24,    88282.53,          0.019811,     37.95,     33.53,              97.79, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20211103_203044_518_0284928.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,  49.195199,   0.000000,    94218.32,    87522.98,          0.019924,     22.77,     51.27,              81.37, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20211103_203051_069_0276736.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,     UK0021,       0,  0.060186, 2459522.354773933534, 353.56255,   0.45589,              172.15623,  39.50186,       172.14345,       39.50036,    353.56255,      +0.45589,     353.57276,       +0.45525,  4097576.45,  -891336.25,  4913119.96,      49.706068,       -3.305974,   93572.24,  145545.38,       0.00,             3042.47,   157.55,      0.00,           40522.26,     16.77,     19.00,          35.92,  +1.94,  +1.13
  1,     UK0021,       0,  0.100642, 2459522.354774401523, 353.52099,  -0.10222,              172.27152,  38.94938,       172.25784,       38.94777,    353.52099,      -0.10222,     353.53215,       -0.10291,  4097772.43,  -891450.35,  4911701.74,      49.696482,       -3.307097,   92630.10,  145747.30,    1436.23,             4478.70,   -91.23,  35501.08,           40522.26,     18.11,     20.52,          38.73,  +1.06,  +0.24
  2,     UK0021,       0,  0.141174, 2459522.354774870910, 353.49395,  -0.76282,              172.37755,  38.29343,       172.38957,       38.29484,    353.49395,      -0.76282,     353.48502,       -0.76221,  4098004.66,  -891585.56,  4910021.26,      49.685119,       -3.308397,   91513.97,  146004.73,    3138.06,             6180.53,   -77.58,  41987.32,           40522.26,    -16.10,    -18.23,          34.36,  +1.15,  +0.33
  3,     UK0021,       0,  0.181730, 2459522.354775340296, 353.44862,  -1.44513,              172.50694,  37.61727,       172.52315,       37.61917,    353.44862,      -1.44513,     353.43642,       -1.44430,  4098245.81,  -891725.95,  4908276.19,      49.673315,       -3.309740,   90355.20,  146292.58,    4905.30,             7947.77,     0.47,  43575.28,           40522.26,    -21.94,    -24.85,          46.74,  +1.63,  +0.80
  4,     UK0021,       0,  0.222226, 2459522.354775808752, 353.43458,  -2.05704,              172.58778,  37.00859,       172.64117,       37.01486,    353.43458,      -2.05704,     353.39248,       -2.05426,  4098462.29,  -891851.99,  4906709.62,      49.662715,       -3.310962,   89315.16,  146568.54,    6491.78,             9534.24,   -99.73,  39176.11,           40607.44,    -72.99,    -82.60,         155.13,  +2.20,  +1.37
  5,     UK0021,       0,  0.262734, 2459522.354776277672, 353.34303,  -2.65736,              172.76204,  36.41762,       172.75613,       36.41693,    353.34303,      -2.65736,     353.34893,       -2.65767,  4098677.28,  -891977.15,  4905153.88,      49.652185,       -3.312178,   88282.53,  146859.03,    8067.28,            11109.74,  -211.41,  38893.58,           40387.00,      8.15,      9.23,          17.29,  +4.09,  +3.26
  0,     UK003C,       1,  0.000000, 2459522.354773232713,  35.74673,  13.23087,              114.47977,  35.38215,       114.52482,       35.41903,     35.74673,     +13.23087,      35.69384,      +13.23847,  4097162.38,  -891095.19,  4916116.28,      49.726313,       -3.303704,   95563.27,  162460.16,       0.00,                8.07,  -370.06,      0.00,           44992.99,   -134.86,     59.87,         187.34,  +5.40,  +4.35
  1,     UK003C,       0,  0.040308, 2459522.354773699306,  35.59636,  12.53045,              115.13404,  34.90692,       115.14469,       34.91557,     35.59636,     +12.53045,      35.58407,      +12.53224,  4097442.07,  -891258.02,  4914092.39,      49.712640,       -3.305235,   94218.32,  162128.98,    2049.61,             2057.68,     0.70,  50848.71,           44992.99,    -31.78,     14.11,          44.24,  +2.70,  +1.65
  2,     UK003C,       0,  0.080576, 2459522.354774165433,  35.50441,  11.97207,              115.62396,  34.50984,       115.63060,       34.51521,     35.50441,     +11.97207,      35.49699,      +11.97318,  4097662.73,  -891386.49,  4912495.56,      49.701848,       -3.306477,   93157.42,  161883.66,    3666.72,             3674.79,   -59.38,  40158.67,           44992.99,    -19.79,      8.79,          27.59,  +1.23,  +0.18
  3,     UK003C,       0,  0.120860, 2459522.354774631560,  35.37885,  11.33912,              116.19454,  34.06993,       116.17801,       34.05662,     35.37885,     +11.33912,      35.39864,      +11.33635,  4097913.26,  -891532.35,  4910682.62,      49.689591,       -3.307865,   91953.21,  161625.51,    5502.69,             5510.76,    98.74,  45575.72,           44992.99,     49.25,    -21.88,          68.78,  +1.07,  +0.03
  4,     UK003C,       0,  0.161092, 2459522.354775097221,  35.29360,  10.85102,              116.61973,  33.72255,       116.59534,       33.70299,     35.29360,     +10.85102,      35.32267,      +10.84694,  4098105.32,  -891644.16,  4909292.83,      49.680192,       -3.308968,   91030.24,  161439.39,    6910.14,             6918.21,  -169.50,  34983.31,           42890.81,     72.58,    -32.24,         101.47,  +1.59,  +0.55
  5,     UK003C,       0,  0.201440, 2459522.354775564279,  35.18125,  10.12646,              117.23143,  33.19645,       117.20567,       33.17592,     35.18125,     +10.12646,      35.21202,      +10.12216,  4098388.85,  -891809.23,  4907241.10,      49.666312,       -3.310517,   89668.00,  161190.94,    8987.93,             8996.01,   227.78,  51496.83,           43521.43,     76.53,    -33.99,         107.16,  +1.93,  +0.89
  6,     UK003C,       0,  0.241632, 2459522.354776029475,  35.13887,   9.75181,              117.52993,  32.91447,       117.51781,       32.90484,     35.13887,      +9.75181,      35.15395,       +9.74979,  4098534.29,  -891893.90,  4906188.65,      49.659189,       -3.311393,   88969.33,  161069.41,   10053.76,            10061.83,  -380.42,  26518.31,           41928.96,     35.99,    -15.99,          50.44,  +3.47,  +2.43
  7,     UK003C,       0,  0.282000, 2459522.354776496533,  35.01757,   8.97906,              118.17244,  32.34994,       118.15680,       32.33758,     35.01757,      +8.97906,      35.03688,       +8.97645,  4098835.45,  -892069.24,  4904009.32,      49.644436,       -3.313027,   87522.98,  160849.49,   12260.77,            12268.84,   145.23,  54672.22,           42329.47,     46.41,    -20.62,          65.13,  +5.21,  +4.18

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.