Orbital Analysis for matched events on 20211103_184357.959_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 319.38° Bg 49.39° Vg 10.47km/s
mass 0.18952g, abs. mag 0.9
best visual mag 1.1
Path Details
------------
start -2.47° 51.75° 74.74km
end   -2.46° 51.76° 71.27km

Orbit Details
-------------
Semimajor axis 2.39A.U., eccentricity 0.59, inclination 12.19°, Period 3.70Y, LA Sun 221.27°, last Perihelion 2018-02-24

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: 2459522.280531938188
Time: 2021-11-03 18:43:57.959459 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003L and UK003Z
 Convergence angle = 2.75406 deg
 R.A. = 322.07357  Dec = +17.01955 deg

Best intersection: Stations UK003L and UK003Z with Qconv = 2.75 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3144043.68 +/- 120.36 m
 Y =  -2477562.25 +/- 287.30 m
 Z =   5044507.69 +/- 555.22 m
 Vx =     7643.35 +/- 5303.32 m/s
 Vy =    -9873.83 +/- 1219.41 m/s
 Vz =     8799.55 +/- 6723.54 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.650305e+03, +1.756920e+04, -3.502409e+04, +4.794978e+04, +1.001152e+05, -2.032434e+05
+1.756920e+04, +4.270087e+04, -8.510151e+04, +1.036450e+05, +2.215763e+05, -4.540552e+05
-3.502409e+04, -8.510151e+04, +1.702495e+05, -1.916015e+05, -4.143696e+05, +8.517315e+05
+4.794978e+04, +1.036450e+05, -1.916015e+05, +9.702939e+05, +1.821841e+06, -3.664316e+06
+1.001152e+05, +2.215763e+05, -4.143696e+05, +1.821841e+06, +3.450285e+06, -6.947013e+06
-2.032434e+05, -4.540552e+05, +8.517315e+05, -3.664316e+06, -6.947013e+06, +1.400663e+07

Timing offsets (from input data):
    UK003L: 0.000000 s
    UK003R: 0.000000 s
    UK003Z: 0.002931 s

Reference point on the trajectory:
  Time: 2021-11-03 18:43:57.959459 UTC
  Lon     = +-2.472183 +/- 0.0043 deg
  Lat     = +51.752394 +/- 0.0025 deg
  Lat geo = +51.567318 +/- 0.0025 deg
  Ht      =   74710.59 +/- 488.17 m

  JD dynamic   = 2459522.281332679093 
  LST apparent = 321.7612623578 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 307.74354 +/- 14.1829 deg
  Dec       = +35.17326 +/- 18.8145 deg
  Azimuth   = 216.63900 +/- 38.2993 deg
  Elevation = +70.62326 +/- 15.2148 deg
  Vavg      =  15.61744 +/- 2.9247 km/s
  Vinit     =  15.27565 +/- 3.7819 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 309.05023 +/- 14.1829 deg
  Dec       = +35.31958 +/- 18.8145 deg
  Azimuth   = 213.89894 +/- 38.2993 deg
  Elevation = +71.22198 +/- 15.2148 deg
  Vavg      =  15.56234 +/- 2.9247 km/s
  Vinit     =  15.22054 +/- 3.7819 km/s
Radiant (geocentric, J2000):
  R.A.   = 305.57339 +/- 17.2155 deg
  Dec    = +31.86266 +/- 31.2264 deg
  Vg     =  10.46686 +/- 5.7881 km/s
  Vinf   =  15.27565 +/- 3.7819 km/s
  Zc     =  19.22853 +/- 15.1730 deg
  Zg     =  22.85338 +/- 27.5441 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 319.37574 +/- 5.3956 deg
  Bg     = +49.38502 +/- 34.5211 deg
  Vh     =  37.65646 +/- 3.0338 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 313.44158 +/- 0.6910 deg
  Bh     = +12.18078 +/- 9.9726 deg
  Vh_x   = -25.31019 +/- 1.1667 km/s
  Vh_y   =  26.72590 +/- 1.4937 km/s
  Vh_z   =  -7.94540 +/- 6.8041 km/s
Orbit:
  La Sun = 221.268249 +/- -0.0000 deg
  a      =   2.393340 +/- 4.0746 AU
  e      =   0.586313 +/- 0.2482
  i      =  12.189288 +/- 8.9386 deg
  peri   = 185.751167 +/- 70.5870 deg
  node   = 221.267827 +/- 70.7384 deg
  Pi     =  47.018994 +/- 3.7909 deg
  q      =   0.990093 +/- 0.0012 AU
  f      = 354.248369 +/- 3.7909 deg
  M      = 358.783412 +/- 2.8695 deg
  Q      =   3.796586 +/- 8.1483 AU
  n      =   0.266194 +/- 0.2522 deg/day
  T      =   3.702603 +/- 17.8843 years
  Last perihelion JD = 2458174.452171 (2018-02-24 22:51:07.569950) +/- 6534.4473 days
  Tj     =   3.248418 +/- 1.2572
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.441164e-02, +1.515639e-04, -4.008701e+02, -2.485636e+00, +2.085550e+00, +1.004484e+00
q   , +1.515639e-04, +1.103860e-06, -2.178213e+00, -1.093380e-02, +8.250750e-03, +6.583677e-03
Tp  , -4.008701e+02, -2.178213e+00, +2.017103e+07, +1.293502e+04, -6.634540e+03, -1.647427e+04
node, -2.485636e+00, -1.093380e-02, +1.293502e+04, +1.060799e+03, -1.022847e+03, -7.996891e+01
peri, +2.085550e+00, +8.250750e-03, -6.634540e+03, -1.022847e+03, +9.917439e+02, +6.316573e+01
i   , +1.004484e+00, +6.583677e-03, -1.647427e+04, -7.996891e+01, +6.316573e+01, +4.248365e+01

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: UK003L
  Avg. res. = 5.052e-06 s
  Stddev    = 2.25e-03 s

Begin point on the trajectory:
  Lon =    -2.472260 +/- 0.0043 deg
  Lat =    51.752330 +/- 0.0025 deg
  Ht  = 74736.18 +/- 478.35 m
End point on the trajectory:
  Lon =    -2.462845 +/- 0.0078 deg
  Lat =    51.761027 +/- 0.0048 deg
  Ht  = 71268.67 +/- 851.35 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
    UK003L,   False,    -1.801730,    51.352040,  131.00,   0.000000,   0.000000,    74736.18,    71268.67,          0.010730,     16.38,      8.08,              61.48, 1.0000,    True,    True, {"ff_name": "FF_UK003L_20211103_184348_766_0137728.fits"}
    UK003R,    True,    -2.379340,    51.361330,  169.00, 9242.510541,   0.000427,    72953.28,    71202.63,          0.137604,       nan,       nan,              58.59, 0.0000,    True,    True, {"ff_name": "FF_UK003R_20211103_184358_493_0109824.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   6.635588,   0.000000,    74182.45,    72364.48,          0.012754,     25.48,     11.19,              76.11, 1.0000,    True,    True, {"ff_name": "FF_UK003Z_20211103_184350_256_0138240.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,     UK003L,       0,  0.000000, 2459522.280531938188, 245.68430,  60.85415,              314.02876,  48.74995,       314.02163,       48.74755,    245.68430,     +60.85415,     245.68349,      +60.84889,  3144057.26, -2477579.79,  5044523.32,      51.752330,       -2.472260,   74736.18,   98799.42,       0.00,               27.13,   -37.38,      0.00,           15863.01,      4.02,      8.17,          19.00,  +2.12,  +2.15
  1,     UK003L,       0,  0.040252, 2459522.280532403849, 245.06881,  60.86247,              314.21734,  48.47726,       314.21926,       48.47791,    245.06881,     +60.86247,     245.06917,      +60.86389,  3143703.49, -2477122.78,  5044116.03,      51.754002,       -2.470424,   74069.20,   98318.71,     707.03,              679.90,     0.51,  17565.03,           15863.01,     -1.08,     -2.20,           5.13,  +1.75,  +1.79
  2,     UK003L,       0,  0.080464, 2459522.280532869510, 244.54583,  60.85326,              314.35657,  48.23980,       314.38367,       48.24891,    244.54583,     +60.85326,     244.54852,      +60.87344,  3143406.84, -2476739.58,  5043774.52,      51.755405,       -2.468912,   73509.92,   97918.60,    1299.88,             1272.75,   -20.90,  14743.21,           15863.01,    -15.28,    -30.99,          72.78,  +1.27,  +1.32
  3,     UK003L,       0,  0.120696, 2459522.280533335172, 243.98966,  60.87650,              314.55150,  48.00120,       314.55861,       48.00359,    243.98966,     +60.87650,     243.99069,      +60.88181,  3143091.76, -2476332.54,  5043411.77,      51.756895,       -2.467294,   72915.85,   97495.38,    1929.60,             1902.47,    -5.75,  15652.12,           15863.01,     -4.00,     -8.12,          19.16,  +1.20,  +1.26
  4,     UK003L,       0,  0.160932, 2459522.280533800833, 243.42948,  60.90383,              314.75427,  47.76346,       314.73304,       47.75634,    243.42948,     +60.90383,     243.42885,      +60.88789,  3142777.28, -2475926.29,  5043049.72,      51.758382,       -2.465679,   72322.92,   97075.17,    2558.10,             2530.97,     8.12,  15620.43,           15756.07,     11.94,     24.24,          57.42,  +1.47,  +1.53
  5,     UK003L,       0,  0.201152, 2459522.280534266494, 242.88110,  60.88239,              314.88885,  47.51168,       314.90072,       47.51566,    242.88110,     +60.88239,     242.88251,      +60.89134,  3142474.21, -2475534.78,  5042700.80,      51.759816,       -2.464129,   71751.49,   96672.51,    3163.80,             3136.67,    -0.57,  15059.74,           15626.07,     -6.68,    -13.55,          32.24,  +1.93,  +2.00
  6,     UK003L,       0,  0.241348, 2459522.280534731690, 242.41602,  60.89372,              315.04396,  47.31091,       315.04117,       47.30998,    242.41602,     +60.89372,     242.41693,      +60.89161,  3142218.15, -2475204.00,  5042406.01,      51.761027,       -2.462845,   71268.67,   96334.79,    3675.55,             3648.42,  -102.84,  12731.29,           15269.76,      1.57,      3.18,           7.58,  +3.11,  +3.19
  0,     UK003R,       1,  0.724174, 2459522.280540319625, 290.28541,  81.66215,              351.71443,  58.21046,       351.90908,       58.24506,    290.28541,     +81.66215,     290.99414,      +81.69784,  3143112.92, -2476359.88,  5043436.13,      51.756795,       -2.469935,   72953.28,   85414.92,       0.00,             1860.18, -9266.56,      0.00,           15271.72,     10.98,   -160.89,         389.43,  +1.38,  +1.72
  1,     UK003R,       1,  0.764446, 2459522.280540785752, 289.34965,  81.96202,              351.87271,  57.89318,       352.09273,       57.93227,    289.34965,     +81.96202,     290.18243,      +82.00447,  3142778.68, -2475928.10,  5043051.33,      51.758376,       -2.468209,   72322.86,   84960.68,     668.00,             2528.18, -9213.75,  16587.10,           15271.72,     12.36,   -182.33,         443.66,  +1.65,  +2.00
  2,     UK003R,       1,  0.804690, 2459522.280541251879, 288.37285,  82.21919,              351.98565,  57.60934,       352.25007,       57.65628,    288.37285,     +82.21919,     289.40783,      +82.27276,  3142487.04, -2475551.36,  5042715.58,      51.759755,       -2.466723,   71772.75,   84566.69,    1250.85,             3111.03, -9245.65,  14482.94,           15271.72,     14.73,   -219.63,         536.89,  +2.17,  +2.53
  3,     UK003R,       1,  0.844942, 2459522.280541717540, 287.37450,  82.49091,              352.12554,  57.31641,       352.41270,       57.36736,    287.37450,     +82.49091,     288.54014,      +82.55200,  3142184.79, -2475160.91,  5042367.61,      51.761185,       -2.465177,   71202.63,   84160.61,    1854.91,             3715.09, -9256.47,  15006.98,           15271.72,     15.92,   -239.08,         587.24,  +3.48,  +3.85
  0,     UK003Z,       0,  0.036531, 2459522.280532338656, 214.42710,  60.88721,              325.29887,  35.70655,       325.29556,       35.70551,    214.42710,     +60.88721,     214.42942,      +60.88453,  3143763.55, -2477200.38,  5044185.19,      51.753718,       -2.470741,   74182.45,  125621.16,       0.00,              559.84,   -62.71,      0.00,           15886.44,      2.54,      5.79,          10.39,  +2.18,  +1.68
  1,     UK003Z,       0,  0.076671, 2459522.280532803386, 213.90199,  60.78069,              325.41648,  35.44638,       325.41251,       35.44514,    213.90199,     +60.78069,     213.90495,      +60.77748,  3143417.99, -2476753.97,  5043787.35,      51.755352,       -2.468951,   73530.93,  125296.37,     690.63,             1250.47,    14.76,  17205.55,           15886.44,      3.04,      6.93,          12.45,  +1.30,  +0.81
  2,     UK003Z,       0,  0.116815, 2459522.280533268116, 213.47354,  60.65938,              325.48366,  35.21055,       325.51235,       35.21952,    213.47354,     +60.65938,     213.45452,      +60.68260,  3143120.43, -2476369.58,  5043444.78,      51.756759,       -2.467432,   72969.91,  125019.80,    1285.32,             1845.17,    -3.78,  14813.97,           15886.44,    -22.02,    -50.16,          90.37,  +1.12,  +0.64
  3,     UK003Z,       0,  0.156931, 2459522.280533732381, 212.96854,  60.57809,              325.62002,  34.97487,       325.62040,       34.97498,    212.96854,     +60.57809,     212.96893,      +60.57839,  3142799.32, -2475954.76,  5043075.09,      51.758278,       -2.465780,   72364.48,  124723.37,    1927.08,             2486.92,    25.18,  15997.49,           15886.44,     -0.29,     -0.65,           1.17,  +3.07,  +2.59

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.