Orbital Analysis for matched events on 20211015_044402.209_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 102.22° Bg 11.85° Vg 68.64km/s
mass 0.00511g, abs. mag 0.1
best visual mag 1.7
Path Details
------------
start -0.21° 55.42° 108.62km
end   -0.23° 55.45° 98.28km

Orbit Details
-------------
Semimajor axis 7.34A.U., eccentricity 0.88, inclination 158.83°, Period 19.88Y, LA Sun 201.76°, last Perihelion 2001-12-21

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: 2459502.697247790173
Time: 2021-10-15 04:44:02.209071 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000P and UK004B
 Convergence angle = 63.11196 deg
 R.A. = 103.37713  Dec = +34.83413 deg

Best intersection: Stations UK000P and UK004B with Qconv = 63.11 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -304938.63 +/- 62.30 m
 Y =   3677194.81 +/- 117.75 m
 Z =   5317555.81 +/- 169.92 m
 Vx =   -14689.54 +/- 753.50 m/s
 Vy =    55193.97 +/- 1877.97 m/s
 Vz =    39658.55 +/- 1839.78 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.606051e+03, +1.294862e+03, -6.229780e+03, +7.444352e+04, -7.666545e+03, -6.221633e+04
+1.294862e+03, +1.228042e+04, -1.048766e+04, +8.457252e+03, +1.052228e+05, -3.700836e+04
-6.229780e+03, -1.048766e+04, +3.045424e+04, -7.641829e+04, -7.163277e+04, +1.969584e+05
+7.444352e+04, +8.457252e+03, -7.641829e+04, +1.571727e+06, -2.866267e+05, -9.836179e+05
-7.666545e+03, +1.052228e+05, -7.163277e+04, -2.866267e+05, +1.106618e+06, -4.473710e+04
-6.221633e+04, -3.700836e+04, +1.969584e+05, -9.836179e+05, -4.473710e+04, +1.870955e+06

Timing offsets (from input data):
    UK000P: 0.000000 s
    UK004B: 0.000030 s

Reference point on the trajectory:
  Time: 2021-10-15 04:44:02.209071 UTC
  Lon     = +-0.208580 +/- 0.0010 deg
  Lat     = +55.420500 +/- 0.0015 deg
  Lat geo = +55.243474 +/- 0.0015 deg
  Ht      =  108610.99 +/- 122.09 m

  JD dynamic   = 2459502.698048531078 
  LST apparent = 94.7405186089 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 104.90345 +/- 1.0931 deg
  Dec       = +34.77455 +/- 1.0705 deg
  Azimuth   = 157.03232 +/- 2.5796 deg
  Elevation = +68.19641 +/- 0.9991 deg
  Vavg      =  69.89741 +/- 0.3760 km/s
  Vinit     =  69.53385 +/- 1.3334 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 105.16891 +/- 1.0931 deg
  Dec       = +34.75196 +/- 1.0705 deg
  Azimuth   = 156.48497 +/- 2.5796 deg
  Elevation = +68.11523 +/- 0.9991 deg
  Vavg      =  69.93691 +/- 0.3760 km/s
  Vinit     =  69.57336 +/- 1.3334 km/s
Radiant (geocentric, J2000):
  R.A.   = 104.59005 +/- 1.0969 deg
  Dec    = +34.66953 +/- 1.0795 deg
  Vg     =  68.64248 +/- 1.3521 km/s
  Vinf   =  69.53385 +/- 1.3334 km/s
  Zc     =  21.64070 +/- 0.9982 deg
  Zg     =  21.78199 +/- 1.0057 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 102.22116 +/- 0.8991 deg
  Bg     = +11.84873 +/- 1.1050 deg
  Vh     =  40.72295 +/- 1.2803 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  94.03301 +/- 1.7452 deg
  Bh     = +20.25046 +/- 1.8873 deg
  Vh_x   =   2.68706 +/- 1.1403 km/s
  Vh_y   = -38.11119 +/- 1.2281 km/s
  Vh_z   = -14.09521 +/- 1.3113 km/s
Orbit:
  La Sun = 201.757214 +/- 0.0000 deg
  a      =   7.338787 +/- 1.3436 AU
  e      =   0.875997 +/- 0.0849
  i      = 158.827814 +/- 1.9710 deg
  peri   = 215.628453 +/- 7.0925 deg
  node   = 201.758579 +/- 0.0001 deg
  Pi     =  57.387032 +/- 7.0925 deg
  q      =   0.910032 +/- 0.0299 AU
  f      = 324.370867 +/- 7.0925 deg
  M      = 358.791258 +/- 4.4067 deg
  Q      =  13.767541 +/- 2.6608 AU
  n      =   0.049576 +/- 0.0962 deg/day
  T      =  19.880946 +/- 4.1900 years
  Last perihelion JD = 2452265.437992 (2001-12-21 22:30:42.499427) +/- 1534.6377 days
  Tj     =  -0.359031 +/- 0.6130
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.543790e-03, +2.024095e-03, -1.144489e+02, +1.581277e-06, -5.177749e-01, -3.134792e-02
q   , +2.024095e-03, +9.578992e-04, -4.522168e+01, +7.013635e-07, -2.169366e-01, -1.651750e-02
Tp  , -1.144489e+02, -4.522168e+01, +2.787735e+06, -5.145213e-02, +1.066604e+04, +1.204391e+03
node, +1.581277e-06, +7.013635e-07, -5.145213e-02, +5.256321e-09, -1.570245e-04, -1.369672e-04
peri, -5.177749e-01, -2.169366e-01, +1.066604e+04, -1.570245e-04, +5.074413e+01, +3.549575e+00
i   , -3.134792e-02, -1.651750e-02, +1.204391e+03, -1.369672e-04, +3.549575e+00, +3.630794e+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: UK000P
  Avg. res. = 2.473e-05 s
  Stddev    = 4.97e-03 s

Begin point on the trajectory:
  Lon =    -0.208563 +/- 0.0010 deg
  Lat =    55.420477 +/- 0.0013 deg
  Ht  = 108617.96 +/- 115.75 m
End point on the trajectory:
  Lon =    -0.234367 +/- 0.0020 deg
  Lat =    55.454167 +/- 0.0006 deg
  Ht  = 98278.13 +/- 67.34 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
    UK000P,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   108617.96,    98278.13,          0.048308,     77.15,    165.56,              61.20, 1.0000,    True,    True, {"ff_name": "FF_UK000P_20211015_044401_649_0978432.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.000000,   0.000000,   107726.49,    99693.87,          0.039034,     99.61,    126.92,              83.89, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20211015_044400_752_0991744.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,     UK000P,       0,  0.000000, 2459502.697247790173, 176.21920,  32.20229,               74.26580,  28.97746,        74.17762,       29.01424,    176.21920,     +32.20229,     176.25990,      +32.28049,  -304940.21,  3677200.77,  5317560.09,      55.420477,       -0.208563,  108617.96,  218120.93,       0.00,                7.51,   -11.49,      0.00,           66824.42,   -294.79,   -137.50,         307.60,  +4.90,  +3.21
  1,     UK000P,       0,  0.040616, 2459502.697248260491, 177.05994,  31.98418,               73.81147,  28.34820,        73.81431,       28.34702,    177.05994,     +31.98418,     177.05878,      +31.98166,  -304245.27,  3674589.62,  5315683.90,      55.430417,       -0.216141,  105563.82,  216397.53,    3289.54,             3282.04,   438.85,  80991.34,           66824.42,      9.48,      4.40,           9.96,  +5.60,  +3.92
  2,     UK000P,       0,  0.081092, 2459502.697248728946, 177.63794,  31.72062,               73.58136,  27.82927,        73.54385,       27.84489,    177.63794,     +31.72062,     177.65614,      +31.75399,  -303729.70,  3672652.44,  5314291.98,      55.437797,       -0.221814,  103298.12,  215140.22,    5730.03,             5722.52,    64.87,  60294.53,           66824.42,   -124.84,    -58.07,         132.00,  +2.44,  +0.78
  3,     UK000P,       0,  0.121576, 2459502.697249197401, 178.24233,  31.47097,               73.31969,  27.30627,        73.26819,       27.32768,    178.24233,     +31.47097,     178.26769,      +31.51684,  -303205.41,  3670682.47,  5312876.49,      55.445307,       -0.227585,  100994.19,  213882.80,    8211.81,             8204.30,  -268.35,  61302.77,           66824.42,   -170.98,    -79.58,         181.88,  +1.73,  +0.08
  4,     UK000P,       0,  0.162152, 2459502.697249666788, 178.98245,  31.21013,               72.96439,  26.70012,        72.94254,       26.70920,    178.98245,     +31.21013,     178.99383,      +31.22961,  -302587.29,  3668359.97,  5311207.71,      55.454167,       -0.234367,   98278.13,  212429.75,   11137.71,            11130.20,  -163.86,  72109.16,           67113.06,    -72.36,    -33.63,          77.48,  +2.82,  +1.18
  0,     UK004B,       0,  0.019422, 2459502.697248015553, 268.85723,  62.36433,                2.94248,  25.98908,         2.96964,       25.98500,    268.85723,     +62.36433,     268.80539,      +62.35865,  -304737.37,  3676438.62,  5317012.47,      55.423377,       -0.210805,  107726.49,  237753.61,       0.00,              952.65,  -416.81,      0.00,           69458.09,     80.71,    -63.52,          89.10,  +4.39,  +2.51
  1,     UK004B,       0,  0.060170, 2459502.697248487268, 269.25558,  61.45656,                2.79867,  25.07128,         2.79809,       25.07136,    269.25558,     +61.45656,     269.25691,      +61.45668,  -303919.18,  3673364.36,  5314803.51,      55.435084,       -0.219703,  104130.77,  237245.30,    3872.98,             4825.63,   622.81,  95047.22,           69458.09,     -1.72,      1.35,           1.90,  +4.96,  +3.08
  2,     UK004B,       0,  0.100598, 2459502.697248955257, 269.46031,  60.93729,                2.72420,  24.54706,         2.70025,       24.55066,    269.46031,     +60.93729,     269.50507,      +60.94215,  -303454.42,  3671618.10,  5313548.77,      55.441739,       -0.224836,  102088.42,  236984.08,    6072.94,             7025.59,    11.65,  54416.69,           69458.09,    -71.79,     56.41,          79.47,  +2.26,  +0.39
  3,     UK004B,       0,  0.141102, 2459502.697249423712, 269.64572,  60.32158,                2.66309,  23.92717,         2.58680,       23.93864,    269.64572,     +60.32158,     269.78570,      +60.33686,  -302909.48,  3669570.58,  5312077.57,      55.449548,       -0.230832,   99693.87,  236703.59,    8652.42,             9605.06,  -225.27,  63684.49,           69458.09,   -229.71,    180.20,         254.41,  +2.07,  +0.20

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.