Orbital Analysis for matched events on 20210816_014724.076_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.18° Bg 36.72° Vg 56.60km/s
mass 0.04658g, abs. mag -1.4
Path Details
------------
start -0.99° 49.72° 105.11km
end   -1.08° 49.69° 93.72km

Orbit Details
-------------
Semimajor axis 2.69A.U., eccentricity 0.64, inclination 114.64°, Period 4.41Y, LA Sun 143.14°, last Perihelion 2021-07-28

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: 2459442.574584221002
Time: 2021-08-16 01:47:24.114152 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK0038
 Convergence angle = 15.96449 deg
 R.A. =  45.00247  Dec = +55.06549 deg

Best intersection: Stations UK000F and UK0038 with Qconv = 15.96 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4143155.49 +/- 297.17 m
 Y =   -689088.64 +/- 48.83 m
 Z =   4925241.95 +/- 63.06 m
 Vx =    22265.07 +/- 1905.71 m/s
 Vy =    23294.20 +/- 467.09 m/s
 Vz =    47840.05 +/- 1104.19 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.002144e+04, +8.273221e+03, -7.736904e+03, +4.455140e+05, +3.419553e+03, -1.372979e+05
+8.273221e+03, +2.462574e+03, -1.275941e+03, +2.781028e+04, +6.862145e+03, -1.386551e+04
-7.736904e+03, -1.275941e+03, +3.964683e+03, -1.942231e+04, -1.142296e+04, +1.353413e+04
+4.455140e+05, +2.781028e+04, -1.942231e+04, +3.297154e+06, -1.009475e+05, -8.128482e+05
+3.419553e+03, +6.862145e+03, -1.142296e+04, -1.009475e+05, +7.261719e+04, +2.625280e+03
-1.372979e+05, -1.386551e+04, +1.353413e+04, -8.128482e+05, +2.625280e+03, +2.552375e+05

Timing offsets (from input data):
    UK000F: 0.000843 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 01:47:24.114152 UTC
  Lon     = +-0.973959 +/- 0.0012 deg
  Lat     = +49.730415 +/- 0.0021 deg
  Lat geo = +49.543649 +/- 0.0021 deg
  Ht      =  107134.86 +/- 168.90 m

  JD dynamic   = 2459442.575385395437 
  LST apparent = 350.5570177441 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.29403 +/- 2.4183 deg
  Dec       = +56.03708 +/- 1.3780 deg
  Azimuth   =  57.32479 +/- 3.0716 deg
  Elevation = +56.73490 +/- 1.0428 deg
  Vavg      =  56.56610 +/- 0.4550 km/s
  Vinit     =  57.68036 +/- 0.3791 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.59823 +/- 2.4183 deg
  Dec       = +55.82868 +/- 1.3780 deg
  Azimuth   =  57.62180 +/- 3.0716 deg
  Elevation = +56.52095 +/- 1.0428 deg
  Vavg      =  56.70815 +/- 0.4550 km/s
  Vinit     =  57.82240 +/- 0.3791 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.45171 +/- 2.4508 deg
  Dec    = +55.88128 +/- 1.3819 deg
  Vg     =  56.60272 +/- 0.3863 km/s
  Vinf   =  57.68036 +/- 0.3791 km/s
  Zc     =  33.36625 +/- 1.0508 deg
  Zg     =  33.69009 +/- 1.0653 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.17745 +/- 2.2100 deg
  Bg     = +36.71737 +/- 0.8339 deg
  Vh     =  37.71185 +/- 0.2702 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  74.31080 +/- 6.3848 deg
  Bh     = +63.81296 +/- 0.9553 deg
  Vh_x   =  -4.50041 +/- 1.8895 km/s
  Vh_y   = -16.02230 +/- 0.3284 km/s
  Vh_z   = -33.84104 +/- 0.4928 km/s
Orbit:
  La Sun = 143.141888 +/- 0.0000 deg
  a      =   2.689166 +/- 0.1712 AU
  e      =   0.635750 +/- 0.0262
  i      = 114.635919 +/- 1.6067 deg
  peri   = 156.318594 +/- 6.2276 deg
  node   = 143.141723 +/- 0.0001 deg
  Pi     = 299.460317 +/- 6.2275 deg
  q      =   0.979529 +/- 0.0139 AU
  f      =  23.677807 +/- 6.2276 deg
  M      =   4.161887 +/- 0.9118 deg
  Q      =   4.398804 +/- 0.3500 AU
  n      =   0.223500 +/- 0.0207 deg/day
  T      =   4.409883 +/- 0.4258 years
  Last perihelion JD = 2459423.953973 (2021-07-28 10:53:43.231065) +/- 4.6941 days
  Tj     =   1.472680 +/- 0.1028
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.226523e-04, -2.202269e-04, -7.690913e-02, +3.641280e-08, -1.803485e-03, -5.224036e-04
q   , -2.202269e-04, +1.867579e-04, +5.921249e-02, -2.329018e-08, +1.384769e-03, +3.355614e-04
Tp  , -7.690913e-02, +5.921249e-02, +1.987368e+01, -7.818546e-06, +4.615904e-01, +1.122371e-01
node, +3.641280e-08, -2.329018e-08, -7.818546e-06, +3.467456e-12, -1.821510e-07, -4.987609e-08
peri, -1.803485e-03, +1.384769e-03, +4.615904e-01, -1.821510e-07, +1.073179e-02, +2.616009e-03
i   , -5.224036e-04, +3.355614e-04, +1.122371e-01, -4.987609e-08, +2.616009e-03, +7.176040e-04

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: UK0038
  Avg. res. = 3.296e-06 s
  Stddev    = 1.82e-03 s

Begin point on the trajectory:
  Lon =    -0.989221 +/- 0.0007 deg
  Lat =    49.724068 +/- 0.0017 deg
  Ht  = 105109.24 +/- 84.44 m
End point on the trajectory:
  Lon =    -1.076201 +/- 0.0005 deg
  Lat =    49.688249 +/- 0.0026 deg
  Ht  = 93717.40 +/- 119.47 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105109.24,    93717.40,          0.012133,     50.92,     23.12,              82.25, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20210816_014721_269_0510720.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   105063.53,    97402.29,          0.014296,     43.89,     37.24,              68.61, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210816_014715_815_0508928.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,     UK000F,       0,  0.041939, 2459442.574584654532, 355.44593, -15.69133,              174.56757,  22.27283,       174.56257,       22.27023,    355.44593,     -15.69133,     355.45089,      -15.69364,  4142220.32,  -690067.05,  4923232.57,      49.724068,       -0.989221,  105109.24,  264897.16,       0.00,             2422.69,     6.06,      0.00,           57603.78,     10.15,     22.35,          19.11,  +1.36,  -0.76
  1,     UK000F,       0,  0.082227, 2459442.574585120659, 355.20946, -16.13647,              174.84096,  21.84194,       174.82858,       21.83551,    355.20946,     -16.13647,     355.22195,      -16.14222,  4141325.50,  -691003.22,  4921309.93,      49.717990,       -1.003997,  103171.28,  264639.01,    2318.12,             4740.81,     0.35,  57538.67,           57603.78,     25.14,     55.39,          47.41,  +0.79,  -1.32
  2,     UK000F,       0,  0.122543, 2459442.574585587252, 354.97400, -16.60811,              175.11215,  21.38377,       175.10511,       21.38012,    354.97400,     -16.60811,     354.98137,      -16.61140,  4140390.88,  -691981.05,  4919301.73,      49.711635,       -1.019430,  101147.35,  264390.93,    4739.38,             7162.07,    96.18,  60057.13,           57603.78,     14.31,     31.53,          27.01,  +0.63,  -1.48
  3,     UK000F,       0,  0.162835, 2459442.574586053845, 354.77721, -17.04395,              175.33894,  20.95867,       175.35464,       20.96682,    354.77721,     -17.04395,     354.76196,      -17.03659,  4139544.86,  -692866.17,  4917483.93,      49.705878,       -1.033419,   99315.52,  264185.31,    6931.09,             9353.78,   -36.18,  54395.52,           57603.78,    -31.99,    -70.40,          60.37,  +0.53,  -1.58
  4,     UK000F,       0,  0.203119, 2459442.574586519971, 354.51898, -17.48670,              175.62639,  20.52905,       175.61923,       20.52534,    354.51898,     -17.48670,     354.52687,      -17.49008,  4138643.38,  -693809.32,  4915546.96,      49.699738,       -1.048320,   97363.82,  263986.20,    9266.48,            11689.18,   -24.37,  57973.37,           57438.70,     14.60,     32.18,          27.61,  +0.25,  -1.86
  5,     UK000F,       0,  0.243427, 2459442.574586986564, 354.29274, -17.95035,              175.87964,  20.07628,       175.88491,       20.07901,    354.29274,     -17.95035,     354.28825,      -17.94785,  4137734.13,  -694760.59,  4913593.29,      49.693539,       -1.063354,   95395.55,  263806.27,   11622.01,            14044.70,     6.17,  58438.10,           57534.34,    -10.76,    -23.70,          20.35,  +0.13,  -1.98
  6,     UK000F,       0,  0.283691, 2459442.574587452691, 354.10107, -18.34729,              176.09231,  19.68803,       176.11094,       19.69767,    354.10107,     -18.34729,     354.08317,      -18.33844,  4136958.82,  -695571.74,  4911927.41,      49.688249,       -1.076201,   93717.40,  263669.33,   13630.54,            16053.23,  -307.74,  49884.01,           56749.53,    -38.09,    -83.85,          72.05,  +1.33,  -0.78
  0,     UK0038,       1,  0.000000, 2459442.574584221002,  15.51238,  -8.26213,              150.67877,  26.19492,       150.68773,       26.20073,     15.51238,      -8.26213,      15.50269,       -8.25910,  4143149.67,  -689094.73,  4925229.45,      49.730375,       -0.973897,  107122.26,  234501.86,       0.00,               15.07,    17.48,      0.00,           56473.32,    -26.25,    -30.95,          35.70,  +4.68,  +2.83
  1,     UK0038,       0,  0.040392, 2459442.574584688526,  15.32724,  -8.79713,              151.05549,  25.74211,       151.05729,       25.74327,     15.32724,      -8.79713,      15.32533,       -8.79652,  4142199.21,  -690089.13,  4923187.23,      49.723925,       -0.989577,  105063.53,  233632.01,    2462.29,             2477.36,   149.94,  60959.77,           56473.32,     -5.26,     -6.21,           7.18,  +2.53,  +0.69
  2,     UK0038,       0,  0.080736, 2459442.574585155118,  15.17413,  -9.26054,              151.37151,  25.34673,       151.37397,       25.34832,     15.17413,      -9.26054,      15.17167,       -9.25970,  4141385.54,  -690940.41,  4921438.93,      49.718398,       -1.003030,  103301.30,  232904.82,    4570.20,             4585.27,   -69.20,  52248.47,           56473.32,     -7.20,     -8.49,           9.86,  +1.26,  -0.58
  3,     UK0038,       0,  0.121112, 2459442.574585622642,  14.99720,  -9.77305,              151.72600,  24.91072,       151.72299,       24.90879,     14.99720,      -9.77305,      15.00078,       -9.77408,  4140487.62,  -691879.83,  4919509.61,      49.712293,       -1.017862,  101356.84,  232122.54,    6896.37,             6911.44,   -71.94,  57612.61,           56473.32,      8.77,     10.35,          12.05,  +0.96,  -0.87
  4,     UK0038,       0,  0.161512, 2459442.574586090166,  14.82626, -10.31616,              152.08128,  24.44267,       152.08680,       24.44621,     14.82626,     -10.31616,      14.82084,      -10.31427,  4139550.85,  -692859.90,  4917496.80,      49.705919,       -1.033335,   99328.48,  231328.84,    9323.19,             9338.26,    24.60,  60069.94,           57166.36,    -16.05,    -18.93,          22.13,  +0.87,  -0.95
  5,     UK0038,       0,  0.201904, 2459442.574586557690,  14.67743, -10.84018,              152.40449,  23.98538,       152.43227,       24.00320,     14.67743,     -10.84018,      14.64809,      -10.83062,  4138661.15,  -693790.73,  4915585.13,      49.699859,       -1.048044,   97402.29,  230596.00,   11628.07,            11643.15,    -0.34,  57062.84,           57349.49,    -80.74,    -95.15,         111.62,  +0.71,  -1.10

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.