Orbital Analysis for matched events on 20210813_014720.278_UK

Summary for Event
-----------------
shower ID 640 AOA
Lg 345.38° Bg -8.54° Vg 39.22km/s
mass 0.04751g, abs. mag -0.5
Path Details
------------
start 1.45° 52.07° 95.79km
end   1.45° 52.16° 90.72km

Orbit Details
-------------
Semimajor axis 3.01A.U., eccentricity 0.96, inclination 24.25°, Period 5.22Y, LA Sun 140.26°, last Perihelion 2016-06-26

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: 2459439.574540261179
Time: 2021-08-13 01:47:20.278566 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 16.80291 deg
 R.A. = 354.35559  Dec = -11.52893 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 16.80 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3927073.08 +/- 661.66 m
 Y =   -691715.34 +/- 251.79 m
 Z =   5083219.79 +/- 73.09 m
 Vx =    39274.21 +/- 2374.57 m/s
 Vy =    -6777.83 +/- 1116.85 m/s
 Vz =    -8562.20 +/- 128.91 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.692303e+05, +1.718202e+05, -4.483905e+04, +1.599834e+06, +9.695932e+05, -6.334184e+04
+1.718202e+05, +6.426215e+04, -1.620535e+04, +6.031967e+05, +3.645407e+05, -2.416868e+04
-4.483905e+04, -1.620535e+04, +5.774222e+03, -1.466601e+05, -9.638717e+04, +1.269119e+04
+1.599834e+06, +6.031967e+05, -1.466601e+05, +6.052756e+06, +3.620759e+06, -2.409339e+05
+9.695932e+05, +3.645407e+05, -9.638717e+04, +3.620759e+06, +2.280048e+06, -1.631098e+05
-6.334184e+04, -2.416868e+04, +1.269119e+04, -2.409339e+05, -1.631098e+05, +5.282488e+04

Timing offsets (from input data):
    UK002K: 0.000000 s
    UK0032: -0.000156 s

Reference point on the trajectory:
  Time: 2021-08-13 01:47:20.278566 UTC
  Lon     = ++1.452354 +/- 0.0052 deg
  Lat     = +52.071598 +/- 0.0046 deg
  Lat geo = +51.887621 +/- 0.0046 deg
  Ht      =   95692.48 +/- 325.65 m

  JD dynamic   = 2459439.575341002084 
  LST apparent = 350.0103807045 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 350.20851 +/- 2.1563 deg
  Dec       = -12.12485 +/- 0.4933 deg
  Azimuth   = 179.78484 +/- 2.3775 deg
  Elevation = +25.80332 +/- 0.4089 deg
  Vavg      =  37.12267 +/- 2.5173 km/s
  Vinit     =  40.76413 +/- 2.2520 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 350.62651 +/- 2.1563 deg
  Dec       = -12.12424 +/- 0.4933 deg
  Azimuth   = 179.33090 +/- 2.3775 deg
  Elevation = +25.80195 +/- 0.4089 deg
  Vavg      =  37.12469 +/- 2.5173 km/s
  Vinit     =  40.76615 +/- 2.2520 km/s
Radiant (geocentric, J2000):
  R.A.   = 349.92993 +/- 2.1805 deg
  Dec    = -13.62467 +/- 0.6044 deg
  Vg     =  39.22146 +/- 2.3235 km/s
  Vinf   =  40.76413 +/- 2.2520 km/s
  Zc     =  64.01270 +/- 0.4084 deg
  Zg     =  65.39400 +/- 0.5106 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 345.38007 +/- 2.1928 deg
  Bg     =  -8.54201 +/- 0.4605 deg
  Vh     =  38.16384 +/- 0.7494 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 300.20370 +/- 4.0218 deg
  Bh     =  -8.77993 +/- 0.8302 deg
  Vh_x   = -18.97432 +/- 2.4953 km/s
  Vh_y   =  32.59631 +/- 1.2405 km/s
  Vh_z   =   5.82532 +/- 0.6744 km/s
Orbit:
  La Sun = 140.260074 +/- 0.0000 deg
  a      =   3.010962 +/- 1.5211 AU
  e      =   0.960540 +/- 0.0088
  i      =  24.251281 +/- 12.0141 deg
  peri   = 143.304760 +/- 3.4298 deg
  node   = 320.253994 +/- 0.0016 deg
  Pi     = 103.558753 +/- 3.4313 deg
  q      =   0.118811 +/- 0.0190 AU
  f      = 216.703384 +/- 3.4309 deg
  M      = 353.484828 +/- 1.5967 deg
  Q      =   5.903113 +/- 3.0571 AU
  n      =   0.188646 +/- 0.0464 deg/day
  T      =   5.224667 +/- 5.1441 years
  Last perihelion JD = 2457565.769180 (2016-06-26 06:27:37.122897) +/- 1879.8839 days
  Tj     =   2.114224 +/- 0.4169
Shower association:
  IAU No.  =  640
  IAU code =  AOA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.161887e-05, -1.995550e-04, -1.342478e+01, +2.682120e-07, +6.177373e-04, +1.812467e-03
q   , -1.995550e-04, +4.521062e-04, +2.665379e+01, -5.980795e-07, -1.408886e-03, -3.929283e-03
Tp  , -1.342478e+01, +2.665379e+01, +2.996186e+06, -4.068100e-02, -8.379473e+01, -3.288404e+02
node, +2.682120e-07, -5.980795e-07, -4.068100e-02, +8.376745e-10, +1.869755e-06, +5.745310e-06
peri, +6.177373e-04, -1.408886e-03, -8.379473e+01, +1.869755e-06, +4.409001e-03, +1.239889e-02
i   , +1.812467e-03, -3.929283e-03, -3.288404e+02, +5.745310e-06, +1.239889e-02, +4.242550e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 2.073794
 a2 = 18.251953

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 2.053e-05 s
  Stddev    = 4.53e-03 s

Begin point on the trajectory:
  Lon =     1.452365 +/- 0.0052 deg
  Lat =    52.069829 +/- 0.0043 deg
  Ht  = 95789.06 +/- 311.07 m
End point on the trajectory:
  Lon =     1.450457 +/- 0.0036 deg
  Lat =    52.162951 +/- 0.0028 deg
  Ht  = 90715.56 +/- 200.51 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,    95789.06,    90715.56,          0.011047,     28.17,     32.46,              27.31, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_014710_364_0496896.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   3.513950,  16.830037,    94636.97,    91339.33,          0.026723,     64.21,     43.97,              33.47, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_014716_830_0503040.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,     UK002K,       0,  0.000000, 2459439.574540261179,  22.51879,  -5.87553,              142.11962,  23.94015,       142.11685,       23.95789,     22.51879,      -5.87553,      22.51462,       -5.85810,  3927286.85,  -691752.24,  5083173.19,      52.069829,       +1.452365,   95789.06,  227583.95,       0.00,              221.87,  1187.87,      0.00,           34773.49,    -53.77,     46.63,          64.51,  +4.45,  +2.66
  1,     UK002K,       0,  0.040032, 2459439.574540724512,  22.65550,  -5.82104,              141.95932,  23.94085,       141.95980,       23.93778,     22.65550,      -5.82104,      22.65639,       -5.82406,  3926241.13,  -691571.77,  5083401.17,      52.078481,       +1.452145,   95316.64,  226662.96,    1085.38,              863.51,   197.64,  27112.93,           34773.49,      9.26,     -8.04,          11.16,  +2.59,  +0.81
  2,     UK002K,       0,  0.080088, 2459439.574541188311,  22.84121,  -5.76479,              141.74874,  23.92496,       141.75100,       23.91066,     22.84121,      -5.76479,      22.84493,       -5.77885,  3924868.64,  -691334.91,  5083700.38,      52.089840,       +1.451908,   94696.80,  225458.34,    2509.94,             2288.07,   -10.65,  35564.07,           34773.49,     42.93,    -37.31,          52.04,  +1.98,  +0.21
  3,     UK002K,       0,  0.120172, 2459439.574541652109,  23.06670,  -5.72518,              141.50476,  23.87857,       141.50481,       23.87823,     23.06670,      -5.72518,      23.06728,       -5.72551,  3923271.07,  -691059.20,  5084048.67,      52.103063,       +1.451660,   93975.62,  224060.46,    4168.12,             3946.25,    13.54,  41367.65,           34773.49,      1.01,     -0.88,           1.24,  +1.50,  -0.25
  4,     UK002K,       0,  0.160236, 2459439.574542115908,  23.27601,  -5.66415,              141.26854,  23.85757,       141.27026,       23.84698,     23.27601,      -5.66415,      23.27919,       -5.67456,  3921765.59,  -690799.39,  5084376.88,      52.115527,       +1.451417,   93296.32,  222746.06,    5730.71,             5508.84,   -57.04,  39002.42,           36305.47,     31.43,    -27.31,          38.56,  +1.45,  -0.29
  5,     UK002K,       0,  0.200316, 2459439.574542579707,  23.49260,  -5.62413,              141.03367,  23.81394,       141.03349,       23.81505,     23.49260,      -5.62413,      23.49317,       -5.62303,  3920262.91,  -690540.07,  5084704.48,      52.127970,       +1.451173,   92618.57,  221437.31,    7290.40,             7068.53,  -131.18,  38914.30,           37115.94,     -3.29,      2.86,           4.06,  +1.56,  -0.17
  6,     UK002K,       0,  0.240380, 2459439.574543043505,  23.71231,  -5.56161,              140.78654,  23.78952,       140.78787,       23.78153,     23.71231,      -5.56161,      23.71522,       -5.56947,  3918722.25,  -690274.18,  5085040.36,      52.140731,       +1.450928,   91923.99,  220099.04,    8889.51,             8667.63,  -165.25,  39913.81,           37705.08,     23.45,    -20.37,          29.11,  +1.58,  -0.13
  7,     UK002K,       0,  0.280464, 2459439.574543507304,  23.93180,  -5.52370,              140.54991,  23.74194,       140.54880,       23.74852,     23.93180,      -5.52370,      23.93141,       -5.51723,  3917239.13,  -690018.23,  5085363.70,      52.153017,       +1.450685,   91255.64,  218813.82,   10428.89,            10207.01,  -259.86,  38403.86,           38008.80,    -19.20,     16.67,          23.97,  +2.44,  +0.74
  8,     UK002K,       0,  0.320532, 2459439.574543971103,  24.11050,  -5.49225,              140.35715,  23.70341,       140.35409,       23.72144,     24.11050,      -5.49225,      24.10754,       -5.47451,  3916040.26,  -689811.33,  5085625.07,      52.162951,       +1.450457,   90715.56,  217776.07,   11673.24,            11451.37,  -648.84,  31056.04,           37686.98,    -52.38,     45.44,          65.68,  +2.49,  +0.80
  0,     UK0032,       0,  0.083208, 2459439.574541239999,  25.63661,   4.76051,              134.20321,  33.00896,       134.20329,       33.02456,     25.63661,      +4.76051,      25.63012,       +4.77454,  3924736.13,  -691312.04,  5083729.27,      52.090936,       +1.451883,   94636.97,  170730.39,       0.00,             2425.61,    -0.29,      0.00,           40967.26,    -26.29,     38.32,          56.14,  +2.31,  +1.15
  1,     UK0032,       0,  0.123372, 2459439.574541704729,  25.97319,   4.89981,              133.77087,  32.98861,       133.77087,       33.02713,     25.97319,      +4.89981,      25.95685,       +4.93447,  3923084.59,  -691027.02,  5084089.33,      52.104607,       +1.451632,   93891.47,  169395.95,    1714.20,             4139.81,    76.66,  42679.99,           40967.26,    -64.47,     93.87,         138.66,  +1.30,  +0.16
  2,     UK0032,       0,  0.163496, 2459439.574542168994,  26.29182,   5.08991,              133.33132,  33.02049,       133.33129,       33.02821,     26.29182,      +5.08991,      26.28912,       +5.09686,  3921431.99,  -690741.82,  5084449.61,      52.118289,       +1.451381,   93145.84,  168067.56,    3429.48,             5855.09,   156.32,  42749.61,           40967.26,    -12.81,     18.69,          27.80,  +1.64,  +0.51
  3,     UK0032,       0,  0.203616, 2459439.574542633258,  26.57781,   5.24095,              132.94698,  33.03040,       132.94700,       33.02811,     26.57781,      +5.24095,      26.57967,       +5.23889,  3920006.64,  -690495.84,  5084760.35,      52.130093,       +1.451141,   92503.02,  166926.54,    4908.91,             7334.52,     0.29,  36875.06,           40967.26,      3.76,     -5.49,           8.23,  +2.03,  +0.92
  4,     UK0032,       0,  0.243748, 2459439.574543097988,  26.85377,   5.36299,              132.58870,  33.01779,       132.58858,       33.02709,     26.85377,      +5.36299,      26.85073,       +5.37136,  3918693.55,  -690269.23,  5085046.62,      52.140968,       +1.450907,   91911.05,  165879.57,    6271.81,             8697.42,  -272.75,  33960.49,           39216.29,    -15.22,     22.20,          33.46,  +2.08,  +0.98
  5,     UK0032,       0,  0.283820, 2459439.574543561786,  27.09319,   5.54496,              132.23735,  33.07420,       132.23810,       33.02515,     27.09319,      +5.54496,      27.11589,       +5.50082,  3917424.94,  -690050.30,  5085323.19,      52.151478,       +1.450675,   91339.33,  164872.21,    7588.55,            10014.16,  -589.51,  32859.35,           37809.26,     79.63,   -116.57,         176.61,  +4.36,  +3.27
  6,     UK0032,       1,  0.323996, 2459439.574544026516,  27.42004,   5.64065,              131.83937,  33.01354,       131.83921,       33.02155,     27.42004,      +5.64065,      27.41790,       +5.64786,  3916000.99,  -689804.56,  5085633.63,      52.163276,       +1.450435,   90697.87,  163747.60,    9066.52,            11492.12,  -749.29,  36787.17,           37196.68,    -12.93,     18.87,          28.81,  +5.31,  +4.24

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.