Orbital Analysis for matched events on 20211103_031146.693_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 139.02° Bg 50.49° Vg 48.93km/s
mass 0.01245g, abs. mag 0.8
best visual mag 0.9
Path Details
------------
start -4.35° 52.86° 107.70km
end   -4.42° 52.82° 100.94km

Orbit Details
-------------
Semimajor axis 2.57A.U., eccentricity 0.62, inclination 91.17°, Period 4.11Y, LA Sun 220.62°, last Perihelion 2021-10-21

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: 2459521.633179317694
Time: 2021-11-03 03:11:46.693049 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0042 and UK004M
 Convergence angle = 17.39429 deg
 R.A. = 170.34594  Dec = +61.07925 deg

Best intersection: Stations UK0042 and UK004M with Qconv = 17.39 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    260281.49 +/- 43.22 m
 Y =   3915407.92 +/- 84.34 m
 Z =   5147217.57 +/- 341.12 m
 Vx =   -23930.60 +/- 505.01 m/s
 Vy =     4091.79 +/- 675.80 m/s
 Vz =    43910.56 +/- 2465.87 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.710177e+03, +1.630151e+03, +7.037671e+03, +1.351009e+04, +1.467020e+04, +6.046564e+04
+1.630151e+03, +4.585616e+03, +2.167394e+04, +2.191946e+04, +2.737153e+04, +1.058325e+05
+7.037671e+03, +2.167394e+04, +1.131186e+05, +1.129775e+05, +1.258943e+05, +5.406547e+05
+1.351009e+04, +2.191946e+04, +1.129775e+05, +2.049312e+05, +2.112372e+05, +9.003508e+05
+1.467020e+04, +2.737153e+04, +1.258943e+05, +2.112372e+05, +2.459454e+05, +9.447305e+05
+6.046564e+04, +1.058325e+05, +5.406547e+05, +9.003508e+05, +9.447305e+05, +3.999038e+06

Timing offsets (from input data):
    UK0042: 0.000000 s
    UK004M: 0.000742 s

Reference point on the trajectory:
  Time: 2021-11-03 03:11:46.693049 UTC
  Lon     = +-4.351662 +/- 0.0006 deg
  Lat     = +52.861737 +/- 0.0013 deg
  Lat geo = +52.679433 +/- 0.0013 deg
  Ht      =  107761.43 +/- 322.11 m

  JD dynamic   = 2459521.633980058599 
  LST apparent = 86.1967891871 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 170.29708 +/- 2.1466 deg
  Dec       = +61.06204 +/- 1.7107 deg
  Azimuth   =  44.56216 +/- 1.8666 deg
  Elevation = +46.69186 +/- 1.5272 deg
  Vavg      =  45.61742 +/- 2.1212 km/s
  Vinit     =  50.17523 +/- 2.0693 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 170.36568 +/- 2.1466 deg
  Dec       = +60.77836 +/- 1.7107 deg
  Azimuth   =  44.89960 +/- 1.8666 deg
  Elevation = +46.52498 +/- 1.5272 deg
  Vavg      =  45.75577 +/- 2.1212 km/s
  Vinit     =  50.31358 +/- 2.0693 km/s
Radiant (geocentric, J2000):
  R.A.   = 171.01231 +/- 2.1919 deg
  Dec    = +60.90332 +/- 1.7569 deg
  Vg     =  48.93248 +/- 2.1154 km/s
  Vinf   =  50.17523 +/- 2.0693 km/s
  Zc     =  43.43819 +/- 1.5234 deg
  Zg     =  44.01055 +/- 1.5797 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 139.01866 +/- 2.9774 deg
  Bg     = +50.48782 +/- 0.7954 deg
  Vh     =  37.98201 +/- 2.0742 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 210.03971 +/- 32.6991 deg
  Bh     = +83.67772 +/- 0.7657 deg
  Vh_x   =   3.62080 +/- 0.7266 km/s
  Vh_y   =   2.09382 +/- 1.7096 km/s
  Vh_z   = -37.75102 +/- 2.0919 km/s
Orbit:
  La Sun = 220.619690 +/- 0.0000 deg
  a      =   2.565980 +/- 20.0674 AU
  e      =   0.619290 +/- 0.1906
  i      =  91.165569 +/- 1.0975 deg
  peri   = 163.717610 +/- 5.7420 deg
  node   = 220.621287 +/- 0.0000 deg
  Pi     =  24.338898 +/- 5.7421 deg
  q      =   0.976893 +/- 0.0047 AU
  f      =  16.283239 +/- 5.7420 deg
  M      =   3.037120 +/- nan deg
  Q      =   4.155067 +/- 40.1353 AU
  n      =   0.239786 +/- 0.0788 deg/day
  T      =   4.110367 +/- nan years
  Last perihelion JD = 2459508.968027 (2021-10-21 11:13:57.527557) +/- 3.6917 days
  Tj     =   2.005749 +/- 1.0323
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.012118e-02, +8.193017e-04, +5.875571e-01, +1.837212e-06, +7.360786e-01, +1.234745e-01
q   , +8.193017e-04, +3.521797e-05, +2.465895e-02, +7.660539e-08, +3.083530e-02, +5.149511e-03
Tp  , +5.875571e-01, +2.465895e-02, +1.746251e+01, +5.463340e-05, +2.186014e+01, +3.672233e+00
node, +1.837212e-06, +7.660539e-08, +5.463340e-05, +1.765068e-10, +6.850141e-05, +1.186209e-05
peri, +7.360786e-01, +3.083530e-02, +2.186014e+01, +6.850141e-05, +2.736985e+01, +4.604380e+00
i   , +1.234745e-01, +5.149511e-03, +3.672233e+00, +1.186209e-05, +4.604380e+00, +7.971925e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000036
 a2 = 82.385201

Mean time residuals from time vs. length:
  Station with reference time: UK0042
  Avg. res. = 4.774e-06 s
  Stddev    = 2.18e-03 s

Begin point on the trajectory:
  Lon =    -4.352265 +/- 0.0005 deg
  Lat =    52.861366 +/- 0.0012 deg
  Ht  = 107699.01 +/- 313.95 m
End point on the trajectory:
  Lon =    -4.418442 +/- 0.0011 deg
  Lat =    52.821151 +/- 0.0010 deg
  Ht  = 100936.15 +/- 268.58 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
    UK0042,   False,    -4.169906,    52.265619,  152.00,   0.000000,   0.000000,   107699.01,   101135.03,          0.026570,     48.96,     28.96,              31.85, 1.0000,    True,    True, {"ff_name": "FF_UK0042_20211103_031138_523_0880128.fits"}
    UK004M,   False,    -3.939979,    52.538916,   19.00,   0.000000,   0.000000,   106312.15,   100936.15,          0.011724,     15.87,     16.63,              42.42, 1.0000,    True,    True, {"ff_name": "FF_UK004M_20211103_031143_631_0877312.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,     UK0042,       0,  0.000000, 2459521.633179317694,  41.03838,  82.07099,              349.50117,  57.41957,       349.50647,       57.38940,     41.03838,     +82.07099,      40.87332,      +82.09103,   260322.40,  3915400.93,  5147142.50,      52.861366,       -4.352265,  107699.01,  127244.39,       0.00,               85.78,   341.50,      0.00,           46686.53,    -34.35,    -57.88,         109.11,  +3.19,  +2.67
  1,     UK0042,       0,  0.039948, 2459521.633179780096,  38.81002,  81.75857,              348.69404,  57.33911,       348.69295,       57.34461,     38.81002,     +81.75857,      38.84003,      +81.75507,   261129.32,  3915262.96,  5145661.88,      52.854058,       -4.364321,  106468.00,  125854.23,    1691.86,             1777.64,    28.96,  42351.56,           46686.53,      6.19,     10.45,          19.91,  +1.42,  +0.92
  2,     UK0042,       0,  0.079836, 2459521.633180241566,  36.73153,  81.33612,              347.73110,  57.30150,       347.73480,       57.28501,     36.73153,     +81.33612,      36.64398,      +81.34615,   262061.48,  3915103.57,  5143951.45,      52.845610,       -4.378224,  105046.18,  124257.59,    3646.31,             3732.09,   -17.98,  48998.37,           46686.53,    -18.37,    -30.98,          59.78,  +1.44,  +0.97
  3,     UK0042,       0,  0.119772, 2459521.633180703968,  34.53275,  80.93528,              346.78014,  57.19786,       346.77511,       57.21779,     34.53275,     +80.93528,      34.63757,      +80.92370,   262974.69,  3914947.43,  5142275.79,      52.837329,       -4.391848,  103653.51,  122703.62,    5561.04,             5646.82,  -107.04,  47945.03,           46686.53,     21.93,     37.08,          72.42,  +1.62,  +1.18
  4,     UK0042,       0,  0.159684, 2459521.633181165904,  32.24817,  80.43630,              345.65600,  57.08142,       345.64258,       57.12873,     32.24817,     +80.43630,      32.49017,      +80.41022,   264029.30,  3914767.10,  5140340.68,      52.827759,       -4.407557,  102045.53,  120921.90,    7772.23,             7858.01,   101.55,  55401.67,           48632.14,     51.37,     87.01,         172.36,  +1.38,  +0.97
  5,     UK0042,       0,  0.199596, 2459521.633181627840,  31.25154,  80.11459,              344.98997,  57.05446,       344.98472,       57.07195,     31.25154,     +80.11459,      31.33997,      +80.10522,   264626.53,  3914664.98,  5139244.80,      52.822336,       -4.416526,  101135.03,  119919.99,    9024.45,             9110.23,  -648.82,  31374.49,           46723.16,     18.89,     31.93,          63.80,  +3.07,  +2.68
  0,     UK004M,       0,  0.040563, 2459521.633179750759,  47.79794,  66.28215,              320.70518,  66.54279,       320.70347,       66.54490,     47.79794,     +66.28215,      47.80263,      +66.28089,   261231.49,  3915245.49,  5145474.40,      52.853132,       -4.365816,  106312.15,  115688.89,       0.00,             1991.86,   212.31,      0.00,           48599.52,      3.24,     -3.09,           7.98,  +1.67,  +1.35
  1,     UK004M,       0,  0.080691, 2459521.633180215489,  46.96206,  65.76195,              319.22194,  66.35626,       319.23182,       66.34494,     46.96206,     +65.76195,      46.93811,      +65.76864,   262049.78,  3915105.57,  5143972.92,      52.845716,       -4.378042,  105064.03,  114503.22,    1715.69,             3707.56,   -85.43,  42755.49,           48599.52,    -17.35,     16.56,          43.20,  +0.90,  +0.61
  2,     UK004M,       0,  0.120871, 2459521.633180680219,  45.95921,  65.17128,              317.55756,  66.08800,       317.55054,       66.09547,     45.95921,     +65.17128,      45.97568,      +65.16692,   262981.57,  3914946.25,  5142263.16,      52.837266,       -4.391941,  103643.02,  113169.38,    3669.38,             5661.24,  -147.78,  48623.39,           48599.52,     11.42,    -10.91,          28.80,  +0.94,  +0.67
  3,     UK004M,       0,  0.161035, 2459521.633181145415,  44.96446,  64.45967,              315.64726,  65.80625,       315.66584,       65.78789,     44.96446,     +64.45967,      44.92605,      +64.47022,   264023.74,  3914768.05,  5140350.87,      52.827809,       -4.407468,  102054.00,  111698.99,    5854.49,             7846.36,    22.09,  54404.74,           48599.52,    -28.03,     26.75,          71.55,  +1.04,  +0.80
  4,     UK004M,       0,  0.201183, 2459521.633181609679,  44.21711,  63.95887,              314.32675,  65.55957,       314.33543,       65.55141,     44.21711,     +63.95887,      44.20061,      +63.96352,   264757.01,  3914642.67,  5139005.39,      52.821151,       -4.418442,  100936.15,  110679.67,    7391.94,             9383.80,  -454.90,  38294.41,           47120.39,    -12.45,     11.89,          32.08,  +2.12,  +1.90

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.