Orbital Analysis for matched events on 20210813_003909.526_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.22° Bg 37.65° Vg 54.76km/s
mass 0.00630g, abs. mag 0.8
Path Details
------------
start -2.28° 52.29° 107.70km
end   -2.37° 52.24° 99.19km

Orbit Details
-------------
Semimajor axis 2.24A.U., eccentricity 0.58, inclination 111.47°, Period 3.36Y, LA Sun 140.21°, last Perihelion 2021-07-17

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: 2459439.527193588670
Time: 2021-08-13 00:39:09.526061 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002H
 Convergence angle = 79.50163 deg
 R.A. =  44.72565  Dec = +57.29349 deg

Best intersection: Stations UK001L and UK002H with Qconv = 79.50 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3414500.24 +/- 81.34 m
 Y =  -2036541.97 +/- 66.49 m
 Z =   5107758.09 +/- 103.11 m
 Vx =    21251.28 +/- 6035.27 m/s
 Vy =    21714.08 +/- 5925.21 m/s
 Vz =    46888.80 +/- 11847.49 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.088375e+03, -5.184476e+02, +4.411276e+03, +2.045179e+05, +1.788749e+05, +4.128357e+05
-5.184476e+02, +4.840371e+03, +5.301922e+03, -1.068042e+04, +2.545204e+04, +2.687776e+04
+4.411276e+03, +5.301922e+03, +1.137297e+04, +1.569877e+05, +1.930823e+05, +4.110242e+05
+2.045179e+05, -1.068042e+04, +1.569877e+05, +2.855466e+07, +2.831607e+07, +6.285186e+07
+1.788749e+05, +2.545204e+04, +1.930823e+05, +2.831607e+07, +2.935630e+07, +6.421348e+07
+4.128357e+05, +2.687776e+04, +4.110242e+05, +6.285186e+07, +6.421348e+07, +1.412788e+08

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK002H: -0.000118 s

Reference point on the trajectory:
  Time: 2021-08-13 00:39:09.526061 UTC
  Lon     = +-2.280067 +/- 0.0009 deg
  Lat     = +52.287232 +/- 0.0008 deg
  Lat geo = +52.103950 +/- 0.0008 deg
  Ht      =  107828.26 +/- 92.10 m

  JD dynamic   = 2459439.527994329575 
  LST apparent = 329.1864908034 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.61714 +/- 1.5647 deg
  Dec       = +57.05770 +/- 0.2874 deg
  Azimuth   =  52.03895 +/- 0.8698 deg
  Elevation = +47.89694 +/- 0.6595 deg
  Vavg      =  55.65745 +/- 0.1025 km/s
  Vinit     =  55.87198 +/- 13.9369 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.74423 +/- 1.5647 deg
  Dec       = +56.81576 +/- 0.2874 deg
  Azimuth   =  52.31006 +/- 0.8698 deg
  Elevation = +47.72318 +/- 0.6595 deg
  Vavg      =  55.81124 +/- 0.1025 km/s
  Vinit     =  56.02577 +/- 13.9369 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.93096 +/- 1.5716 deg
  Dec    = +56.76806 +/- 0.2850 deg
  Vg     =  54.75872 +/- 0.0000 km/s
  Vinf   =  55.87198 +/- 0.0000 km/s
  Zc     =  42.21600 +/- 0.6613 deg
  Zg     =  42.66114 +/- 0.6690 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.22207 +/- 1.0919 deg
  Bg     = +37.64929 +/- 0.2376 deg
  Vh     =  36.81607 +/- 0.1321 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  81.40928 +/- 2.7377 deg
  Bh     = +65.30301 +/- 0.6216 deg
  Vh_x   =  -2.29776 +/- 0.7033 km/s
  Vh_y   = -15.20988 +/- 0.4471 km/s
  Vh_z   = -33.44851 +/- 0.1786 km/s
Orbit:
  La Sun = 140.214611 +/- nan deg
  a      =   2.242095 +/- 0.0617 AU
  e      =   0.577188 +/- 0.0141
  i      = 111.474133 +/- 0.3089 deg
  peri   = 145.487931 +/- 3.0113 deg
  node   = 140.214081 +/- 0.0000 deg
  Pi     = 285.702011 +/- 3.0113 deg
  q      =   0.947984 +/- 0.0127 AU
  f      =  34.508249 +/- 3.0113 deg
  M      =   7.903077 +/- 0.4554 deg
  Q      =   3.536206 +/- 0.1315 AU
  n      =   0.293578 +/- 0.0106 deg/day
  T      =   3.357234 +/- 0.1425 years
  Last perihelion JD = 2459412.608116 (2021-07-17 02:35:41.191739) +/- 1.9181 days
  Tj     =   1.928726 +/- 0.0523
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.098854e-04, -1.464605e-04, -1.937375e-02, +4.904541e-09, -5.659880e-04, -6.907287e-05
q   , -1.464605e-04, +1.664808e-04, +2.480196e-02, -1.694144e-09, +6.854150e-04, +2.391003e-05
Tp  , -1.937375e-02, +2.480196e-02, +3.812754e+00, -1.488954e-07, +1.040056e-01, +2.104741e-03
node, +4.904541e-09, -1.694144e-09, -1.488954e-07, +1.611000e-13, -5.407995e-09, -2.267458e-09
peri, -5.659880e-04, +6.854150e-04, +1.040056e-01, -5.407995e-09, +2.852532e-03, +7.637231e-05
i   , -6.907287e-05, +2.391003e-05, +2.104741e-03, -2.267458e-09, +7.637231e-05, +3.191430e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000008
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 5.839e-06 s
  Stddev    = 2.42e-03 s

Begin point on the trajectory:
  Lon =    -2.281353 +/- 0.0002 deg
  Lat =    52.286618 +/- 0.0006 deg
  Ht  = 107703.11 +/- 53.51 m
End point on the trajectory:
  Lon =    -2.369586 +/- 0.0003 deg
  Lat =    52.244700 +/- 0.0010 deg
  Ht  = 99192.86 +/- 86.96 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000016,   0.000000,   107703.11,   101091.62,          0.032861,      8.72,     76.72,              61.95, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210813_003902_484_0378880.fits"}
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.000000,   0.000000,   105943.25,    99192.86,          0.012604,     35.77,      3.25,              78.17, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20210813_003903_176_0382976.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,     UK001L,       0,  0.000000, 2459439.527193588670, 263.84186,  56.76119,              304.35033,  52.55439,       304.27287,       52.60311,    263.84186,     +56.76119,     263.95607,      +56.73535,  3414436.08, -2036607.53,  5107616.53,      52.286618,       -2.281353,  107703.11,  134822.11,       0.00,              168.68,    94.48,      0.00,           54602.43,   -158.39,     17.97,         243.88,  +5.17,  +4.52
  1,     UK001L,       0,  0.040244, 2459439.527194054332, 263.46115,  56.00389,              303.33321,  52.07344,       303.36009,       52.05676,    263.46115,     +56.00389,     263.42238,      +56.01269,  3413655.31, -2037405.30,  5105893.83,      52.279133,       -2.297160,  106180.23,  133880.17,    2052.74,             2221.42,   -84.94,  51007.28,           54602.43,     54.51,     -6.27,          84.53,  +1.60,  +0.97
  2,     UK001L,       0,  0.080600, 2459439.527194521390, 262.87197,  55.19286,              302.34354,  51.44625,       302.36161,       51.43519,    262.87197,     +55.19286,     262.84657,      +55.19865,  3412790.97, -2038288.46,  5103986.75,      52.270840,       -2.314644,  104494.69,  132866.18,    4325.18,             4493.86,   -47.53,  56309.93,           54602.43,     36.37,     -4.18,          56.84,  +0.79,  +0.17
  3,     UK001L,       0,  0.120968, 2459439.527194988914, 262.29241,  54.37455,              301.37981,  50.80168,       301.38230,       50.80018,    262.29241,     +54.37455,     262.28944,      +54.37533,  3411932.55, -2039165.58,  5102092.74,      52.262598,       -2.332012,  102821.04,  131890.43,    6582.06,             6750.74,   -27.74,  55907.58,           54602.43,      4.97,     -0.57,           7.82,  +0.76,  +0.16
  4,     UK001L,       0,  0.161352, 2459439.527195455972, 261.72463,  53.50996,              300.38604,  50.12418,       300.38357,       50.12565,    261.72463,     +53.50996,     261.72870,      +53.50920,  3411045.35, -2040072.10,  5100135.22,      52.254072,       -2.349959,  101091.62,  130915.19,    8914.61,             9083.29,    65.73,  57759.35,           55422.18,     -4.90,      0.56,           7.76,  +0.78,  +0.20
  0,     UK002H,       0,  0.042304, 2459439.527193853166, 331.78964,   3.26670,              176.44250,  39.82997,       176.41752,       39.81687,    331.78964,      +3.26670,     331.80942,       +3.25432,  3413533.79, -2037529.46,  5105625.72,      52.277967,       -2.299521,  105943.25,  163515.62,       0.00,             2540.90,   118.92,      0.00,           53626.30,     -6.00,     66.03,          83.64,  +3.74,  +2.67
  1,     UK002H,       0,  0.082852, 2459439.527194322553, 331.40872,   2.64802,              176.96295,  39.22472,       176.95001,       39.21796,    331.40872,      +2.64802,     331.41923,       +2.64158,  3412733.81, -2038346.86,  5103860.64,      52.270292,       -2.315717,  104383.25,  163109.53,    2103.24,             4644.14,   -37.28,  51870.29,           53626.30,     -3.11,     34.26,          43.51,  +1.62,  +0.56
  2,     UK002H,       0,  0.123424, 2459439.527194791939, 331.01025,   2.00171,              177.49834,  38.59016,       177.49679,       38.58936,    331.01025,      +2.00171,     331.01192,       +2.00094,  3411901.67, -2039197.13,  5102024.60,      52.262301,       -2.332560,  102760.83,  162715.07,    4291.04,             6831.93,  -110.75,  53923.88,           53626.30,     -0.37,      4.11,           5.23,  +1.42,  +0.36
  3,     UK002H,       0,  0.164012, 2459439.527195261791, 330.60281,   1.33889,              178.03652,  37.93699,       178.04720,       37.94253,    330.60281,      +1.33889,     330.59488,       +1.34426,  3411052.84, -2040064.45,  5100151.74,      52.254144,       -2.349739,  101106.21,  162342.25,    6522.70,             9063.60,  -141.82,  54983.45,           53626.30,      2.57,    -28.45,          36.30,  +1.63,  +0.58
  4,     UK002H,       0,  0.204684, 2459439.527195732575, 330.11219,   0.57988,              178.67167,  37.18649,       178.67396,       37.18767,    330.11219,      +0.57988,     330.11112,       +0.58104,  3410071.06, -2041067.60,  5097985.55,      52.244700,       -2.369586,   99192.86,  161948.56,    9103.90,            11644.80,   170.93,  63463.81,           55744.44,      0.55,     -6.11,           7.82,  +3.93,  +2.88

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.