Orbital Analysis for matched events on 20211103_054517.001_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 109.52° Bg 22.60° Vg 59.12km/s
mass 0.00875g, abs. mag 0.1
best visual mag 0.8
Path Details
------------
start -1.72° 50.93° 106.26km
end   -1.70° 50.94° 94.41km

Orbit Details
-------------
Semimajor axis 2.06A.U., eccentricity 0.70, inclination 132.55°, Period 2.96Y, LA Sun 220.73°, last Perihelion 2019-01-03

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: 2459521.739780114964
Time: 2021-11-03 05:45:17.001933 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0025 and UK003N
 Convergence angle = 5.15341 deg
 R.A. = 117.96003  Dec = +44.89984 deg

Best intersection: Stations UK0025 and UK003N with Qconv = 5.15 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2481898.03 +/- 190.38 m
 Y =   3257103.17 +/- 631.87 m
 Z =   5011218.53 +/- 254.72 m
 Vx =   -18875.32 +/- 4849.79 m/s
 Vy =    38669.32 +/- 19017.25 m/s
 Vz =    42031.03 +/- 19102.35 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.502287e+04, +7.231479e+04, +2.307923e+04, +3.602635e+05, -5.001559e+05, -6.457562e+05
+7.231479e+04, +2.628853e+05, +1.016820e+05, +1.273051e+06, -2.028946e+06, -2.446119e+06
+2.307923e+04, +1.016820e+05, +4.447038e+04, +4.936881e+05, -8.647013e+05, -9.938685e+05
+3.602635e+05, +1.273051e+06, +4.936881e+05, +3.888436e+07, -7.644197e+07, -8.448249e+07
-5.001559e+05, -2.028946e+06, -8.647013e+05, -7.644197e+07, +1.638761e+08, +1.748129e+08
-6.457562e+05, -2.446119e+06, -9.938685e+05, -8.448249e+07, +1.748129e+08, +1.891959e+08

Timing offsets (from input data):
    UK0025: 0.009239 s
    UK003N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 05:45:17.001933 UTC
  Lon     = +-1.722568 +/- 0.0062 deg
  Lat     = +50.931213 +/- 0.0012 deg
  Lat geo = +50.745863 +/- 0.0012 deg
  Ht      =  106205.05 +/- 358.39 m

  JD dynamic   = 2459521.740580855869 
  LST apparent = 127.3072383685 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 116.01800 +/- 4.1766 deg
  Dec       = +44.32704 +/- 1.2491 deg
  Azimuth   = 233.33158 +/- 7.7874 deg
  Elevation = +79.94510 +/- 2.9843 deg
  Vavg      =  61.01307 +/- 0.9103 km/s
  Vinit     =  60.15149 +/- 25.5261 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 116.40843 +/- 4.1766 deg
  Dec       = +44.36531 +/- 1.2491 deg
  Azimuth   = 232.33609 +/- 7.7874 deg
  Elevation = +80.16844 +/- 2.9843 deg
  Vavg      =  60.97198 +/- 0.9103 km/s
  Vinit     =  60.11040 +/- 25.5261 km/s
Radiant (geocentric, J2000):
  R.A.   = 115.54484 +/- 4.1935 deg
  Dec    = +44.31965 +/- 1.2637 deg
  Vg     =  59.11869 +/- 3.6124 km/s
  Vinf   =  60.15149 +/- 3.5575 km/s
  Zc     =   9.94531 +/- 3.0023 deg
  Zg     =  10.03165 +/- 3.0166 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 109.52220 +/- 2.9725 deg
  Bg     = +22.59789 +/- 1.7731 deg
  Vh     =  36.85116 +/- 3.7034 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.66987 +/- 2.7272 deg
  Bh     = +38.05780 +/- 4.5062 deg
  Vh_x   =  -1.68552 +/- 1.6819 km/s
  Vh_y   = -28.96721 +/- 4.7318 km/s
  Vh_z   = -22.71713 +/- 0.7079 km/s
Orbit:
  La Sun = 220.726474 +/- -0.0000 deg
  a      =   2.061026 +/- 86.3797 AU
  e      =   0.698679 +/- 0.2207
  i      = 132.548202 +/- 3.6586 deg
  peri   = 264.797713 +/- 5.7455 deg
  node   = 220.729293 +/- 0.0001 deg
  Pi     = 125.527007 +/- 5.7454 deg
  q      =   0.621030 +/- 0.0318 AU
  f      = 275.203375 +/- 5.7455 deg
  M      = 344.752783 +/- nan deg
  Q      =   3.501021 +/- 172.7633 AU
  n      =   0.333104 +/- 0.1807 deg/day
  T      =   2.958869 +/- nan years
  Last perihelion JD = 2458486.768129 (2019-01-03 06:26:06.379514) +/- 334610.3114 days
  Tj     =   1.916189 +/- 1.8576
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.583643e-02, -6.521477e-04, -2.529352e+04, +7.953226e-06, -4.547273e-01, +2.915904e-01
q   , -6.521477e-04, +4.999787e-04, +2.364404e+02, -4.238944e-07, -4.719550e-02, -1.672530e-02
Tp  , -2.529352e+04, +2.364404e+02, +6.525888e+10, -1.242681e+01, +7.566614e+05, -4.425771e+05
node, +7.953226e-06, -4.238944e-07, -1.242681e+01, +4.063001e-09, -2.164325e-04, +1.494276e-04
peri, -4.547273e-01, -4.719550e-02, +7.566614e+05, -2.164325e-04, +2.283572e+01, -7.842243e+00
i   , +2.915904e-01, -1.672530e-02, -4.425771e+05, +1.494276e-04, -7.842243e+00, +5.507620e+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: UK003N
  Avg. res. = 1.263e-05 s
  Stddev    = 3.55e-03 s

Begin point on the trajectory:
  Lon =    -1.722672 +/- 0.0062 deg
  Lat =    50.931165 +/- 0.0012 deg
  Ht  = 106256.84 +/- 366.33 m
End point on the trajectory:
  Lon =    -1.699900 +/- 0.0075 deg
  Lat =    50.942271 +/- 0.0014 deg
  Ht  = 94413.81 +/- 442.44 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
    UK0025,   False,    -2.949750,    50.877380,   82.00,   0.000000,   0.000000,   104763.87,    94794.39,          0.023443,     15.99,     52.06,              50.93, 1.0000,    True,    True, {"ff_name": "FF_UK0025_20211103_054516_838_1119232.fits"}
    UK003N,   False,    -0.162561,    51.236425,  112.00,   0.000000,   0.000000,   106256.84,    94413.81,          0.007370,      4.05,     18.91,              34.39, 1.0000,    True,    True, {"ff_name": "FF_UK003N_20211103_054508_225_1136640.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,     UK0025,       0,  0.023679, 2459521.739780236501, 181.63928,  38.62606,               85.46448,  49.73542,        85.46413,       49.73545,    181.63928,     +38.62606,     181.63942,      +38.62626, -2481438.74,  3256162.23,  5010195.79,      50.932563,       -1.719744,  104763.87,  136397.45,       0.00,             1463.67,   254.17,      0.00,           56338.94,     -0.52,     -0.16,           0.82,  +3.41,  +2.74
  1,     UK0025,       0,  0.064047, 2459521.739780703560, 182.43826,  38.31821,               85.27207,  49.04958,        85.32702,       49.04499,    182.43826,     +38.31821,     182.41566,      +38.28660, -2480744.54,  3254740.05,  5008649.97,      50.934604,       -1.715574,  102585.61,  134924.47,    2212.25,             3675.92,    38.23,  54802.13,           56338.94,     81.75,     25.09,         130.72,  +1.07,  +0.42
  2,     UK0025,       0,  0.104495, 2459521.739781172015, 183.26625,  37.91370,               85.16875,  48.28582,        85.18054,       48.28484,    183.26625,     +37.91370,     183.26157,      +37.90685, -2479997.73,  3253210.09,  5006987.00,      50.936800,       -1.711072,  100242.28,  133363.19,    4592.16,             6055.83,   -14.86,  58838.81,           56338.94,     17.59,      5.41,          28.46,  +0.86,  +0.23
  3,     UK0025,       0,  0.144891, 2459521.739781639539, 184.07309,  37.56840,               85.00079,  47.56912,        85.04579,       47.56537,    184.07309,     +37.56840,     184.05402,      +37.54204, -2479306.43,  3251793.82,  5005447.61,      50.938835,       -1.706913,   98073.11,  131939.09,    6795.22,             8258.88,  -241.69,  54536.36,           56338.94,     67.35,     20.68,         110.14,  +2.03,  +1.43
  4,     UK0025,       0,  0.185543, 2459521.739782109857, 185.28360,  36.98161,               84.81413,  46.44844,        84.84403,       46.44595,    185.28360,     +36.98161,     185.27080,      +36.96386, -2478261.49,  3249653.10,  5003120.79,      50.941913,       -1.700536,   94794.39,  129831.87,   10125.18,            11588.85,   643.00,  81913.99,           61387.94,     44.95,     13.81,          74.71,  +2.86,  +2.29
  0,     UK003N,       0,  0.000000, 2459521.739780114964,  78.33293,  22.92773,              253.35695,  42.08909,       253.34972,       42.08859,     78.33293,     +22.92773,      78.33696,      +22.92385, -2481914.54,  3257136.98,  5011255.28,      50.931165,       -1.722672,  106256.84,  156806.76,       0.00,               52.60,   267.41,      0.00,           60482.73,     14.43,      3.10,          19.41,  +2.59,  +1.61
  1,     UK003N,       0,  0.040396, 2459521.739780582488,  77.94329,  22.56944,              253.41037,  41.58321,       253.41393,       41.58346,     77.94329,     +22.56944,      77.94139,      +22.57135, -2481210.63,  3255694.90,  5009687.83,      50.933233,       -1.718443,  104048.09,  155040.97,    2243.21,             2190.61,   -24.45,  55530.50,           60482.73,     -7.07,     -1.52,           9.62,  +1.38,  +0.43
  2,     UK003N,       0,  0.080832, 2459521.739781050477,  77.50957,  22.18274,              253.48243,  41.02872,       253.48318,       41.02877,     77.50957,     +22.18274,      77.50943,      +22.18314, -2480455.41,  3254147.72,  5008006.14,      50.935454,       -1.713891,  101678.38,  153159.70,    4649.91,             4597.32,   -50.03,  59518.79,           60482.73,     -1.48,     -0.32,           2.04,  +0.79,  -0.14
  3,     UK003N,       0,  0.121332, 2459521.739781519398,  77.00970,  21.73937,              253.56990,  40.39068,       253.56130,       40.39009,     77.00970,     +21.73937,      77.01513,      +21.73468, -2479607.73,  3252411.09,  5006118.55,      50.937948,       -1.708756,   99018.54,  151064.74,    7351.29,             7298.69,   215.21,  66700.62,           60482.73,     16.95,      3.64,          23.67,  +1.21,  +0.31
  4,     UK003N,       0,  0.161768, 2459521.739781987388,  76.60958,  21.34269,              253.60659,  39.84747,       253.62660,       39.84885,     76.60958,     +21.34269,      76.59856,      +21.35365, -2478907.94,  3250977.45,  5004560.27,      50.940009,       -1.704543,   96822.74,  149351.38,    9581.38,             9528.78,    13.01,  55151.12,           60006.89,    -39.32,     -8.42,          55.53,  +1.74,  +0.87
  5,     UK003N,       0,  0.202244, 2459521.739782455843,  76.13469,  20.92237,              253.69490,  39.24064,       253.69859,       39.24090,     76.13469,     +20.92237,      76.13332,      +20.92440, -2478140.21,  3249404.63,  5002850.71,      50.942271,       -1.699900,   94413.81,  147486.68,   12027.95,            11975.36,    24.90,  60445.11,           59933.62,     -7.22,     -1.55,          10.33,  +2.89,  +2.05

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.