Orbital Analysis for matched events on 20210904_015936.945_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 53.09° Bg 32.09° Vg 59.69km/s
mass 0.00334g, abs. mag 1.1
Path Details
------------
start -0.46° 50.97° 106.17km
end   -0.50° 50.97° 96.98km

Orbit Details
-------------
Semimajor axis 6.09A.U., eccentricity 0.86, inclination 120.19°, Period 15.04Y, LA Sun 161.48°, last Perihelion 2006-09-24

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: 2459461.583066493273
Time: 2021-09-04 01:59:36.985292 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002C
 Convergence angle = 63.86831 deg
 R.A. =  39.53957  Dec = +49.24249 deg

Best intersection: Stations UK002B and UK002C with Qconv = 63.87 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3989930.34 +/- 121.05 m
 Y =    911641.15 +/- 185.62 m
 Z =   5016001.85 +/- 236.02 m
 Vx =    30741.00 +/- 1313.01 m/s
 Vy =    24923.15 +/- 1274.34 m/s
 Vz =    46036.18 +/- 1608.93 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.504720e+03, +1.208504e+04, +1.384203e+04, +1.692035e+04, +5.058253e+04, +3.232610e+04
+1.208504e+04, +1.993776e+04, +2.200444e+04, +2.528914e+04, +9.491480e+04, +6.182682e+04
+1.384203e+04, +2.200444e+04, +2.470348e+04, +2.731407e+04, +1.003957e+05, +6.616786e+04
+1.692035e+04, +2.528914e+04, +2.731407e+04, +5.541208e+04, +1.438826e+05, +8.276116e+04
+5.058253e+04, +9.491480e+04, +1.003957e+05, +1.438826e+05, +5.522284e+05, +3.487968e+05
+3.232610e+04, +6.182682e+04, +6.616786e+04, +8.276116e+04, +3.487968e+05, +2.287188e+05

Timing offsets (from input data):
    UK002B: 0.000000 s
    UK002C: -0.000045 s

Reference point on the trajectory:
  Time: 2021-09-04 01:59:36.985292 UTC
  Lon     = +-0.449953 +/- 0.0022 deg
  Lat     = +50.972865 +/- 0.0003 deg
  Lat geo = +50.787637 +/- 0.0003 deg
  Ht      =  108544.07 +/- 281.86 m

  JD dynamic   = 2459461.583867700305 
  LST apparent = 12.8703214559 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  39.03328 +/- 0.8189 deg
  Dec       = +49.31608 +/- 0.2204 deg
  Azimuth   =  85.43034 +/- 0.6651 deg
  Elevation = +73.24081 +/- 0.5395 deg
  Vavg      =  58.90940 +/- 1.3587 km/s
  Vinit     =  60.70834 +/- 1.9201 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  39.41981 +/- 0.8189 deg
  Dec       = +49.22138 +/- 0.2204 deg
  Azimuth   =  85.50686 +/- 0.6651 deg
  Elevation = +72.97233 +/- 0.5395 deg
  Vavg      =  58.99586 +/- 1.3587 km/s
  Vinit     =  60.79480 +/- 1.9201 km/s
Radiant (geocentric, J2000):
  R.A.   =  38.87987 +/- 0.8112 deg
  Dec    = +49.18499 +/- 0.2215 deg
  Vg     =  59.68555 +/- 1.9498 km/s
  Vinf   =  60.70834 +/- 1.9201 km/s
  Zc     =  16.77493 +/- 0.5400 deg
  Zg     =  16.91847 +/- 0.5363 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  53.09045 +/- 0.5549 deg
  Bg     = +32.08625 +/- 0.3289 deg
  Vh     =  40.16907 +/- 1.5873 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  29.89423 +/- 2.3129 deg
  Bh     = +52.12272 +/- 0.9561 deg
  Vh_x   = -21.38125 +/- 0.6654 km/s
  Vh_y   = -12.29190 +/- 1.7534 km/s
  Vh_z   = -31.70656 +/- 0.8238 km/s
Orbit:
  La Sun = 161.477905 +/- -0.0000 deg
  a      =   6.091909 +/- 18.5172 AU
  e      =   0.864138 +/- 0.1332
  i      = 120.191439 +/- 1.6731 deg
  peri   = 232.187467 +/- 4.4038 deg
  node   = 161.478147 +/- 0.0001 deg
  Pi     =  33.665614 +/- 4.4039 deg
  q      =   0.827657 +/- 0.0187 AU
  f      = 307.810044 +/- 4.4038 deg
  M      = 357.803832 +/- nan deg
  Q      =  11.356161 +/- 37.0411 AU
  n      =   0.065550 +/- 0.0478 deg/day
  T      =  15.035946 +/- 471404472.5573 years
  Last perihelion JD = 2454003.112594 (2006-09-24 14:42:08.147556) +/- 59815.7758 days
  Tj     =   0.306660 +/- 0.8494
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.513723e-03, +3.672304e-04, -1.455928e+03, -3.655613e-08, -1.399707e-03, +7.059087e-04
q   , +3.672304e-04, +9.954526e-05, -2.905033e+02, -8.841411e-09, -3.695930e-04, +1.712506e-04
Tp  , -1.455928e+03, -2.905033e+02, +2.866432e+09, +3.644810e-02, +1.159199e+03, -6.969947e+02
node, -3.655613e-08, -8.841411e-09, +3.644810e-02, +8.926857e-13, +3.370322e-08, -1.722689e-08
peri, -1.399707e-03, -3.695930e-04, +1.159199e+03, +3.370322e-08, +1.380571e-03, -6.523512e-04
i   , +7.059087e-04, +1.712506e-04, -6.969947e+02, -1.722689e-08, -6.523512e-04, +3.324867e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.417092
 a2 = 33.603708

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 3.468e-06 s
  Stddev    = 1.86e-03 s

Begin point on the trajectory:
  Lon =    -0.459918 +/- 0.0013 deg
  Lat =    50.972361 +/- 0.0002 deg
  Ht  = 106173.56 +/- 144.21 m
End point on the trajectory:
  Lon =    -0.499304 +/- 0.0016 deg
  Lat =    50.970398 +/- 0.0002 deg
  Ht  = 96981.27 +/- 167.58 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   106173.56,    96981.27,          0.013184,     22.94,     15.15,              14.36, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210904_015929_019_0599552.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   104723.54,    97973.13,          0.013108,      8.74,     31.96,              28.93, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210904_015927_696_0593664.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,     UK002B,       1,  0.000000, 2459461.583066493273,  62.34327,  48.28208,               74.44058,  57.84715,        74.47363,       57.84366,     62.34327,     +48.28208,      62.33738,      +48.26458,  3989941.77,   911650.42,  5016018.98,      50.972869,       -0.449694,  108565.69,  127789.82,       0.00,               22.58,  -152.92,      0.00,           61637.03,    -22.05,     33.37,          64.55,  +5.57,  +5.04
  1,     UK002B,       0,  0.040256, 2459461.583066959400,  62.76995,  48.18958,               74.38260,  57.54989,        74.36189,       57.55207,     62.76995,     +48.18958,      62.77394,      +48.20061,  3988676.72,   910624.78,  5014124.50,      50.972361,       -0.459918,  106173.56,  125376.02,    2498.27,             2475.68,  -143.70,  62059.54,           61637.03,     13.69,    -20.64,          40.74,  +3.06,  +2.57
  2,     UK002B,       0,  0.080528, 2459461.583067425527,  63.24391,  48.13190,               74.23943,  57.23791,        74.24354,       57.23748,     63.24391,     +48.13190,      63.24347,      +48.12969,  3987365.54,   909561.75,  5012160.94,      50.971834,       -0.470517,  103694.28,  122878.14,    5087.63,             5065.04,     0.82,  64296.78,           61637.03,     -2.68,      4.05,           8.16,  +1.75,  +1.30
  3,     UK002B,       0,  0.120780, 2459461.583067891188,  63.68233,  48.07237,               74.11605,  56.94677,        74.13481,       56.94479,     63.68233,     +48.07237,      63.67916,      +48.06225,  3986190.16,   908608.81,  5010400.76,      50.971359,       -0.480042,  101471.84,  120641.73,    7408.80,             7386.22,  -121.64,  57666.06,           61637.03,    -12.10,     18.30,          37.51,  +1.61,  +1.20
  4,     UK002B,       0,  0.161076, 2459461.583068357781,  64.19237,  48.00501,               73.96769,  56.60878,        74.01097,       56.60420,     64.19237,     +48.00501,      64.18431,      +47.98147,  3984877.66,   907544.71,  5008435.22,      50.970829,       -0.490666,   98990.19,  118149.15,   10000.77,             9978.19,    24.03,  64323.24,           61866.40,    -27.54,     41.75,          87.32,  +1.54,  +1.18
  5,     UK002B,       0,  0.201324, 2459461.583068823442,  64.60833,  47.91852,               73.89697,  56.31976,        73.90801,       56.31859,     64.60833,     +47.91852,      64.60687,      +47.91248,  3983815.16,   906683.29,  5006844.08,      50.970398,       -0.499304,   96981.27,  116133.44,   12099.03,            12076.45,  -321.10,  52133.25,           60542.14,     -6.97,     10.54,          22.44,  +2.57,  +2.25
  0,     UK002C,       0,  0.063377, 2459461.583067227155,  55.85094,  21.86051,              113.79047,  44.86231,       113.81511,       44.86738,     55.85094,     +21.86051,      55.83302,      +21.85376,  3987909.88,   910003.07,  5012976.11,      50.972053,       -0.466114,  104723.54,  147071.75,       0.00,             3990.07,   -32.96,      0.00,           58347.10,    -45.02,    -12.30,          65.45,  +3.24,  +2.40
  1,     UK002C,       0,  0.103761, 2459461.583067694679,  56.01995,  21.37852,              114.03216,  44.38543,       114.01650,       44.38220,     56.01995,     +21.37852,      56.03200,      +21.38282,  3986628.01,   908963.80,  5011056.45,      50.971536,       -0.476485,  102299.72,  144888.90,    2531.48,             6521.55,    46.87,  62685.12,           58347.10,     28.40,      7.77,          41.91,  +1.93,  +1.12
  2,     UK002C,       0,  0.144149, 2459461.583068162203,  56.21822,  20.91947,              114.21916,  43.90907,       114.21050,       43.90729,     56.21822,     +20.91947,      56.22528,      +20.92186,  3985409.97,   907976.28,  5009232.38,      50.971044,       -0.486354,   99996.66,  142825.14,    4936.89,             8926.96,     0.39,  59557.71,           58347.10,     15.61,      4.27,          23.37,  +1.52,  +0.75
  3,     UK002C,       0,  0.184493, 2459461.583068628795,  56.38425,  20.50078,              114.40106,  43.48231,       114.38332,       43.47866,     56.38425,     +20.50078,      56.39831,      +20.50569,  3984339.75,   907108.60,  5007629.68,      50.970611,       -0.495051,   97973.13,  141019.93,    7050.39,            11040.47,  -335.32,  52386.99,           58347.10,     31.76,      8.70,          48.16,  +2.02,  +1.27

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.