Orbital Analysis for matched events on 20210929_044856.673_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 116.73° Bg 26.14° Vg 55.19km/s
mass 0.01607g, abs. mag -0.8
Path Details
------------
start -1.94° 49.03° 108.85km
end   -2.03° 49.01° 97.87km

Orbit Details
-------------
Semimajor axis 1.45A.U., eccentricity 0.57, inclination 124.32°, Period 1.74Y, LA Sun 185.97°, last Perihelion 2021-08-07

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: 2459486.700655939989
Time: 2021-09-29 04:48:56.673215 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0009 and UK0038
 Convergence angle = 18.83440 deg
 R.A. = 132.47876  Dec = +48.49989 deg

Best intersection: Stations UK0009 and UK0038 with Qconv = 18.83 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    851869.80 +/- 146.34 m
 Y =   4175447.67 +/- 277.81 m
 Z =   4874825.38 +/- 97.64 m
 Vx =   -22683.15 +/- 1071.64 m/s
 Vy =    31538.24 +/- 2230.72 m/s
 Vz =    40742.25 +/- 802.09 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.995522e+04, +3.710892e+04, -1.316420e+04, +1.530890e+05, +2.827837e+05, -1.026517e+05
+3.710892e+04, +7.194222e+04, -2.508277e+04, +2.823502e+05, +5.341677e+05, -1.974132e+05
-1.316420e+04, -2.508277e+04, +9.625559e+03, -9.735182e+04, -1.881281e+05, +7.072550e+04
+1.530890e+05, +2.823502e+05, -9.735182e+04, +1.283579e+06, +2.339040e+06, -8.473886e+05
+2.827837e+05, +5.341677e+05, -1.881281e+05, +2.339040e+06, +4.369152e+06, -1.614668e+06
-1.026517e+05, -1.974132e+05, +7.072550e+04, -8.473886e+05, -1.614668e+06, +6.065965e+05

Timing offsets (from input data):
    UK0009: 0.000000 s
    UK0038: -0.000206 s

Reference point on the trajectory:
  Time: 2021-09-29 04:48:56.673215 UTC
  Lon     = +-1.940287 +/- 0.0012 deg
  Lat     = +49.028199 +/- 0.0026 deg
  Lat geo = +48.840791 +/- 0.0026 deg
  Ht      =  108833.43 +/- 129.01 m

  JD dynamic   = 2459486.701456680894 
  LST apparent = 78.4688358166 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 125.72470 +/- 3.5790 deg
  Dec       = +46.36320 +/- 1.1009 deg
  Azimuth   =  76.58241 +/- 3.2599 deg
  Elevation = +58.59972 +/- 1.7860 deg
  Vavg      =  54.12732 +/- 0.1934 km/s
  Vinit     =  56.29492 +/- 0.1251 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 126.03395 +/- 3.5790 deg
  Dec       = +46.19516 +/- 1.1009 deg
  Azimuth   =  76.72184 +/- 3.2599 deg
  Elevation = +58.33780 +/- 1.7860 deg
  Vavg      =  54.28544 +/- 0.1934 km/s
  Vinit     =  56.45304 +/- 0.1251 km/s
Radiant (geocentric, J2000):
  R.A.   = 125.77173 +/- 3.6177 deg
  Dec    = +46.31328 +/- 1.0997 deg
  Vg     =  55.19057 +/- 0.1275 km/s
  Vinf   =  56.29492 +/- 0.1251 km/s
  Zc     =  31.44424 +/- 1.7957 deg
  Zg     =  31.76378 +/- 1.8139 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 116.72846 +/- 2.2123 deg
  Bg     = +26.13956 +/- 1.7807 deg
  Vh     =  34.03692 +/- 1.3326 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 141.77946 +/- 4.6828 deg
  Bh     = +45.59644 +/- 1.3069 deg
  Vh_x   =  18.71060 +/- 1.1630 km/s
  Vh_y   = -14.73466 +/- 1.6231 km/s
  Vh_z   = -24.31697 +/- 1.5310 km/s
Orbit:
  La Sun = 185.973178 +/- nan deg
  a      =   1.448178 +/- 0.7619 AU
  e      =   0.568122 +/- 0.0688
  i      = 124.323106 +/- 3.7207 deg
  peri   =  87.882266 +/- 3.6147 deg
  node   = 185.975005 +/- 0.0000 deg
  Pi     = 273.857271 +/- 3.6147 deg
  q      =   0.625436 +/- 0.0064 AU
  f      =  92.117149 +/- 3.6147 deg
  M      =  29.798186 +/- 5.9489 deg
  Q      =   2.270921 +/- 1.5195 AU
  n      =   0.565551 +/- 0.1090 deg/day
  T      =   1.742744 +/- 1.9816 years
  Last perihelion JD = 2459434.012604 (2021-08-07 12:18:08.953739) +/- 2.7469 days
  Tj     =   3.104109 +/- 0.5350
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.321023e-03, +2.994786e-04, +1.768506e-01, +4.403089e-08, +4.013420e-03, -4.185966e-03
q   , +2.994786e-04, +4.337786e-05, +1.331739e-02, +3.415391e-09, +3.433897e-04, -3.207488e-04
Tp  , +1.768506e-01, +1.331739e-02, +7.418242e+00, +1.868896e-06, +1.702278e-01, -1.762461e-01
node, +4.403089e-08, +3.415391e-09, +1.868896e-06, +4.737103e-13, +4.305475e-08, -4.449194e-08
peri, +4.013420e-03, +3.433897e-04, +1.702278e-01, +4.305475e-08, +3.980733e-03, -4.054066e-03
i   , -4.185966e-03, -3.207488e-04, -1.762461e-01, -4.449194e-08, -4.054066e-03, +4.191086e-03

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: UK0009
  Avg. res. = 1.056e-05 s
  Stddev    = 3.25e-03 s

Begin point on the trajectory:
  Lon =    -1.940138 +/- 0.0012 deg
  Lat =    49.028223 +/- 0.0026 deg
  Ht  = 108852.11 +/- 129.99 m
End point on the trajectory:
  Lon =    -2.028991 +/- 0.0011 deg
  Lat =    49.014404 +/- 0.0022 deg
  Ht  = 97865.07 +/- 100.94 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
    UK0009,   False,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,   108852.11,    97865.07,          0.005705,      1.54,     28.21,              89.63, 1.0000,    True,    True, {"ff_name": "FF_UK0009_20210929_044846_942_0540672.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   106580.66,   100997.66,          0.016608,     31.13,     76.11,              78.46, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210929_044850_357_0933120.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,     UK0009,       0,  0.000000, 2459486.700655939989,  62.28370, -15.72617,              197.87277,  21.33111,       197.86727,       21.32852,     62.28370,     -15.72617,      62.28838,      -15.72973,   851860.98,  4175459.93,  4874841.22,      49.028223,       -1.940138,  108852.11,  284171.29,       0.00,               21.89,   390.76,      0.00,           53339.59,     28.41,     -1.55,          20.65,  +4.28,  +2.01
  1,     UK0009,       0,  0.039732, 2459486.700656400062,  62.03342, -16.05050,              198.05584,  20.96507,       198.06438,       20.96909,     62.03342,     -16.05050,      62.02630,      -16.04495,   852668.66,  4174336.94,  4873390.51,      49.026079,       -1.953966,  107141.23,  283979.51,    2004.50,             1982.61,   114.77,  50450.40,           53339.59,    -44.19,      2.42,          32.14,  +2.82,  +0.55
  2,     UK0009,       0,  0.079416, 2459486.700656859204,  61.74655, -16.37187,              198.27449,  20.59444,       198.26978,       20.59222,     61.74655,     -16.37187,      61.75091,      -16.37494,   853513.88,  4173161.76,  4871872.36,      49.023833,       -1.968434,  105350.99,  283793.76,    4102.16,             4080.28,   -21.57,  52859.32,           53339.59,     24.40,     -1.33,          17.76,  +1.68,  -0.59
  3,     UK0009,       0,  0.119100, 2459486.700657318346,  61.45371, -16.73073,              198.48873,  20.18548,       198.48974,       20.18596,     61.45371,     -16.73073,      61.45334,      -16.73006,   854423.30,  4171897.33,  4870238.92,      49.021412,       -1.983996,  103424.98,  283610.92,    6359.15,             6337.26,     1.41,  56873.85,           53339.59,     -5.27,      0.29,           3.84,  +1.35,  -0.91
  4,     UK0009,       0,  0.158756, 2459486.700657777488,  61.13564, -17.11414,              198.72024,  19.74701,       198.72466,       19.74909,     61.13564,     -17.11414,      61.13250,      -17.11123,   855399.35,  4170540.23,  4868485.78,      49.018810,       -2.000695,  101358.06,  283434.39,    8781.52,             8759.63,   191.35,  61084.63,           55224.30,    -22.99,      1.26,          16.76,  +1.94,  -0.32
  5,     UK0009,       0,  0.198464, 2459486.700658237096,  60.86597, -17.43794,              198.91470,  19.37609,       198.92250,       19.37976,     60.86597,     -17.43794,      60.86007,      -17.43279,   856222.99,  4169395.07,  4867006.42,      49.016612,       -2.014819,   99614.08,  283302.08,   10825.60,            10803.72,     0.08,  51477.94,           55227.75,    -40.61,      2.22,          29.61,  +2.17,  -0.09
  6,     UK0009,       0,  0.238160, 2459486.700658696238,  60.58412, -17.75482,              199.12081,  19.00907,       199.12020,       19.00879,     60.58412,     -17.75482,      60.58564,      -17.75522,   857049.07,  4168246.50,  4865522.65,      49.014404,       -2.028991,   97865.07,  283184.20,   12875.78,            12853.90,  -184.43,  51646.93,           54845.23,      3.17,     -0.17,           2.32,  +3.43,  +1.17
  0,     UK0038,       0,  0.048962, 2459486.700656503439,  84.67633, -17.61162,              173.22362,  20.78171,       173.24208,       20.79274,     84.67633,     -17.61162,      84.65760,      -17.60196,   852933.32,  4173968.97,  4872915.15,      49.025376,       -1.958481,  106580.66,  284390.65,       0.00,             2639.43,   252.01,      0.00,           53540.73,    -94.04,     38.52,          73.70,  +4.95,  +2.68
  1,     UK0038,       0,  0.089206, 2459486.700656969100,  84.45289, -17.97955,              173.48010,  20.43100,       173.48809,       20.43576,     84.45289,     -17.97955,      84.44505,      -17.97535,   853813.02,  4172745.85,  4871335.07,      49.023037,       -1.973537,  104717.44,  283792.24,    2183.25,             4822.68,   169.73,  54250.21,           53540.73,    -40.67,     16.65,          31.94,  +2.71,  +0.44
  2,     UK0038,       0,  0.129406, 2459486.700657434296,  84.23538, -18.29359,              173.72440,  20.13293,       173.70425,       20.12092,     84.23538,     -18.29359,      84.25670,      -18.30421,   854585.20,  4171672.22,  4869948.12,      49.020981,       -1.986780,  103082.12,  283279.73,    4099.63,             6739.07,  -176.94,  47671.36,           53540.73,    102.55,    -41.90,          80.66,  +1.49,  -0.77
  3,     UK0038,       0,  0.169694, 2459486.700657900423,  84.00510, -18.72001,              173.98806,  19.72296,       173.97893,       19.71753,     84.00510,     -18.72001,      84.01525,      -18.72484,   855569.55,  4170303.59,  4868180.08,      49.018356,       -2.003624,  100997.66,  282644.32,    6542.60,             9182.03,    -1.99,  60637.47,           53540.73,     46.43,    -18.98,          36.60,  +2.32,  +0.06

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.