Orbital Analysis for matched events on 20210904_035146.693_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 58.00° Bg -0.87° Vg 64.65km/s
mass 0.10621g, abs. mag -2.5
Path Details
------------
start 2.29° 52.01° 108.16km
end   2.25° 52.07° 97.46km

Orbit Details
-------------
Semimajor axis 2.18A.U., eccentricity 0.65, inclination 178.32°, Period 3.22Y, LA Sun 161.55°, last Perihelion 2018-07-27

Full details below
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Detailed report below graphs

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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: 2459461.660957105458
Time: 2021-09-04 03:51:46.702119 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002F
 Convergence angle = 7.28621 deg
 R.A. =  61.62938  Dec = +20.76133 deg

Best intersection: Stations UK002C and UK002F with Qconv = 7.29 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2891457.42 +/- 531.66 m
 Y =   2766217.98 +/- 645.30 m
 Z =   5089314.69 +/- 373.56 m
 Vx =    34475.18 +/- 7156.04 m/s
 Vy =    51479.91 +/- 4987.38 m/s
 Vz =    21555.50 +/- 2734.15 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.514600e+04, -8.204522e+04, -4.453067e+04, +3.872721e+05, -4.985239e+05, -2.691750e+05
-8.204522e+04, +1.046394e+05, +5.638961e+04, -4.878900e+05, +6.275851e+05, +3.381251e+05
-4.453067e+04, +5.638961e+04, +3.124069e+04, -2.532149e+05, +3.258041e+05, +1.797898e+05
+3.872721e+05, -4.878900e+05, -2.532149e+05, +3.617223e+06, -4.514017e+06, -2.445895e+06
-4.985239e+05, +6.275851e+05, +3.258041e+05, -4.514017e+06, +5.665939e+06, +3.055903e+06
-2.691750e+05, +3.381251e+05, +1.797898e+05, -2.445895e+06, +3.055903e+06, +1.680848e+06

Timing offsets (from input data):
    UK002C: 0.000000 s
    UK002F: -0.001462 s

Reference point on the trajectory:
  Time: 2021-09-04 03:51:46.702119 UTC
  Lon     = ++2.294363 +/- 0.0119 deg
  Lat     = +52.006892 +/- 0.0016 deg
  Lat geo = +51.823195 +/- 0.0016 deg
  Ht      =  109130.70 +/- 332.67 m

  JD dynamic   = 2459461.661757941358 
  LST apparent = 43.7318962023 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  56.19048 +/- 5.0761 deg
  Dec       = +19.18322 +/- 1.3509 deg
  Azimuth   = 158.77118 +/- 8.6034 deg
  Elevation = +55.75637 +/- 0.5539 deg
  Vavg      =  63.82610 +/- 3.8749 km/s
  Vinit     =  65.59999 +/- 3.9360 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  56.45370 +/- 5.0761 deg
  Dec       = +19.16498 +/- 1.3509 deg
  Azimuth   = 158.35021 +/- 8.6034 deg
  Elevation = +55.67943 +/- 0.5539 deg
  Vavg      =  63.88618 +/- 3.8749 km/s
  Vinit     =  65.66007 +/- 3.9360 km/s
Radiant (geocentric, J2000):
  R.A.   =  55.94259 +/- 5.0841 deg
  Dec    = +18.86839 +/- 1.3876 deg
  Vg     =  64.65466 +/- 3.9851 km/s
  Vinf   =  65.59999 +/- 3.9360 km/s
  Zc     =  34.07245 +/- 0.5683 deg
  Zg     =  34.32729 +/- 0.5499 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  57.99520 +/- 4.9122 deg
  Bg     =  -0.86562 +/- 0.5369 deg
  Vh     =  36.77974 +/- 3.4496 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  46.49293 +/- 8.8762 deg
  Bh     =  -1.51889 +/- 0.9145 deg
  Vh_x   = -25.31190 +/- 3.8250 km/s
  Vh_y   = -26.66658 +/- 6.0898 km/s
  Vh_z   =   0.97490 +/- 0.6585 km/s
Orbit:
  La Sun = 161.553398 +/- -0.0000 deg
  a      =   2.182464 +/- 9.0341 AU
  e      =   0.645569 +/- 0.2948
  i      = 178.322441 +/- 0.4556 deg
  peri   =  66.108762 +/- 81.4216 deg
  node   = 341.619951 +/- 148.5032 deg
  Pi     =  47.728713 +/- 24.0495 deg
  q      =   0.773533 +/- 0.0825 AU
  f      = 293.955833 +/- 23.7110 deg
  M      = 346.882446 +/- nan deg
  Q      =   3.591395 +/- 18.1003 AU
  n      =   0.305692 +/- 0.0957 deg/day
  T      =   3.224195 +/- 497317414.2875 years
  Last perihelion JD = 2458326.915126 (2018-07-27 09:57:46.867174) +/- 1588.4702 days
  Tj     =   1.395890 +/- 1.8117
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.491312e-03, +3.604620e-03, -7.890270e+01, +4.280013e-02, +2.911627e-02, +4.086291e-04
q   , +3.604620e-03, +4.559797e-03, -7.088293e+01, +3.318404e-02, +1.672230e-02, +4.711661e-04
Tp  , -7.890270e+01, -7.088293e+01, +2.025399e+06, -1.116952e+03, -8.377211e+02, -8.612762e+00
node, +4.280013e-02, +3.318404e-02, -1.116952e+03, +8.512735e-01, +7.144520e-01, +4.928798e-03
peri, +2.911627e-02, +1.672230e-02, -8.377211e+02, +7.144520e-01, +6.377751e-01, +3.193465e-03
i   , +4.086291e-04, +4.711661e-04, -8.612762e+00, +4.928798e-03, +3.193465e-03, +6.754569e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.005699
 a2 = 52.847508

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 4.341e-06 s
  Stddev    = 2.08e-03 s

Begin point on the trajectory:
  Lon =     2.290947 +/- 0.0113 deg
  Lat =    52.012318 +/- 0.0008 deg
  Ht  = 108163.04 +/- 417.76 m
End point on the trajectory:
  Lon =     2.252195 +/- 0.0097 deg
  Lat =    52.072439 +/- 0.0009 deg
  Ht  = 97464.11 +/- 326.06 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
    UK002C,   False,    -1.801980,    51.351940,  130.00, 161.726778,   0.000000,   106341.08,    97890.62,          0.003907,     20.58,      5.28,              58.92, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210904_035140_507_0761856.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108163.04,    97464.11,          0.021225,     98.22,     17.31,              50.35, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210904_035145_293_0738048.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,     UK002C,       1,  0.000000, 2459461.660957105458, 129.70129,  24.64348,               73.96511,  18.96565,        73.97283,       18.96014,    129.70129,     +24.64348,     129.69925,      +24.63452,  2891447.04,  2766202.48,  5089308.20,      52.006984,       +2.294340,  109114.37,  314464.83,       0.00,               19.76,  -709.32,      0.00,           71196.98,     12.49,     48.64,          32.94,  +4.76,  +2.27
  1,     UK002C,       0,  0.040328, 2459461.660957572050, 130.30956,  24.51729,               73.61389,  18.50600,        73.61204,       18.50732,    130.30956,     +24.51729,     130.31023,      +24.51944,  2889683.78,  2763569.49,  5088205.72,      52.022540,       +2.284375,  106341.08,  313192.31,    3355.16,             3374.92,     0.33,  83196.89,           71196.98,     -2.98,    -11.62,           7.90,  +1.34,  -1.14
  2,     UK002C,       0,  0.080572, 2459461.660958038177, 130.78920,  24.43412,               73.32516,  18.15619,        73.33063,       18.15230,    130.78920,     +24.43412,     130.78805,      +24.42778,  2888312.41,  2761521.70,  5087348.28,      52.034648,       +2.276577,  104184.53,  312221.63,    5964.63,             5984.39,   -30.21,  64841.19,           71196.98,      8.79,     34.25,          23.36,  +0.83,  -1.64
  3,     UK002C,       0,  0.120836, 2459461.660958503839, 131.28789,  24.32673,               73.03902,  17.77704,        73.03632,       17.77896,    131.28789,     +24.32673,     131.28914,      +24.32985,  2886881.08,  2759384.38,  5086453.35,      52.047293,       +2.268437,  101934.04,  311229.15,    8688.18,             8707.94,    52.02,  67642.22,           71196.98,     -4.32,    -16.82,          11.51,  +0.77,  -1.70
  4,     UK002C,       0,  0.161084, 2459461.660958969966, 131.76752,  24.23747,               72.75369,  17.42329,        72.75605,       17.42162,    131.76752,     +24.23747,     131.76752,      +24.23473,  2885520.96,  2757353.39,  5085602.94,      52.059317,       +2.260683,   99795.83,  310304.75,   11276.24,            11296.00,    -0.19,  64302.80,           69251.71,      3.78,     14.71,          10.09,  +1.90,  -0.56
  5,     UK002C,       0,  0.201304, 2459461.660959435161, 132.19558,  24.15160,               72.50294,  17.10314,        72.50576,       17.10114,    132.19558,     +24.15160,     132.19562,      +24.14832,  2884308.90,  2755543.48,  5084845.10,      52.070038,       +2.253748,   97890.62,  309495.79,   13582.58,            13602.33,  -332.28,  57343.07,           66996.54,      4.51,     17.58,          12.10,  +3.31,  +0.86
  0,     UK002F,       0,  0.006742, 2459461.660957200453, 119.46160,  20.24754,               85.22860,  22.30275,        85.25756,       22.28165,    119.46160,     +20.24754,     119.45481,      +20.21404,  2890842.22,  2765299.33,  5088930.04,      52.012318,       +2.290947,  108163.04,  272175.98,       0.00,             1170.62,    -0.71,      0.00,           64461.39,     28.18,    159.55,         122.78,  +1.33,  -0.84
  1,     UK002F,       0,  0.047142, 2459461.660957667977, 119.95775,  20.12203,               84.93767,  21.90280,        84.93636,       21.90375,    119.95775,     +20.12203,     119.95826,      +20.12354,  2889448.78,  2763218.58,  5088058.79,      52.024615,       +2.283034,  105971.51,  270816.56,    2651.47,             3822.08,     0.51,  65630.33,           64461.39,     -1.26,     -7.16,           5.54,  +0.37,  -1.79
  2,     UK002F,       0,  0.087542, 2459461.660958135501, 120.47574,  20.02079,               84.61304,  21.50784,        84.60635,       21.51270,    120.47574,     +20.02079,     120.47774,      +20.02854,  2888023.75,  2761090.66,  5087167.80,      52.037198,       +2.274935,  103730.64,  269446.52,    5363.04,             6533.65,    61.84,  67118.13,           64461.39,     -6.44,    -36.58,          28.44,  -0.01,  -2.16
  3,     UK002F,       0,  0.127906, 2459461.660958602559, 120.93956,  19.92575,               84.32560,  21.15095,        84.31153,       21.16114,    120.93956,     +19.92575,     120.94359,      +19.94203,  2886756.40,  2759198.20,  5086375.39,      52.048395,       +2.267706,  101738.01,  268244.09,    7774.58,             8945.19,  -174.49,  59744.78,           64461.39,    -13.48,    -76.60,          59.81,  +0.34,  -1.80
  4,     UK002F,       0,  0.168342, 2459461.660959070548, 121.49960,  19.80593,               83.98221,  20.71631,        83.95664,       20.73480,    121.49960,     +19.80593,     121.50675,      +19.83556,  2885237.55,  2756930.18,  5085425.73,      52.061823,       +2.259065,   99350.31,  266826.81,   10664.67,            11835.29,    63.00,  71473.27,           65482.55,    -24.38,   -138.69,         108.86,  +0.81,  -1.32
  5,     UK002F,       0,  0.208682, 2459461.660959537607, 121.95077,  19.73302,               83.68924,  20.38415,        83.67498,       20.39445,    121.95077,     +19.73302,     121.95529,      +19.74955,  2884037.53,  2755138.27,  5084675.43,      52.072439,       +2.252195,   97464.11,  265721.71,   12948.08,            14118.69,  -299.90,  56604.05,           64507.61,    -13.56,    -77.08,          60.75,  +2.65,  +0.53

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.