Orbital Analysis for matched events on 20210810_025810.887_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 55.85° Bg 36.60° Vg 58.97km/s
mass 0.00487g, abs. mag 0.8
Path Details
------------
start -2.75° 50.35° 106.45km
end   -2.80° 50.33° 98.56km

Orbit Details
-------------
Semimajor axis 5.37A.U., eccentricity 0.82, inclination 116.38°, Period 12.45Y, LA Sun 137.43°, last Perihelion 2021-07-25

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: 2459436.623737126589
Time: 2021-08-10 02:58:10.887737 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0038
 Convergence angle = 29.36302 deg
 R.A. =  40.63116  Dec = +53.87509 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 29.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4145983.00 +/- 117.28 m
 Y =     43994.08 +/- 63.93 m
 Z =   4969383.56 +/- 48.42 m
 Vx =    26962.05 +/- 1659.88 m/s
 Vy =    22293.13 +/- 1213.80 m/s
 Vz =    48757.18 +/- 919.38 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.462062e+04, -7.117732e+03, +1.540534e+03, +1.336174e+05, -5.622210e+04, +2.621052e+04
-7.117732e+03, +4.374595e+03, -8.293627e+02, -6.677925e+04, +3.519818e+04, -1.686113e+04
+1.540534e+03, -8.293627e+02, +2.549107e+03, +1.347527e+04, -1.891826e+04, +9.008387e+03
+1.336174e+05, -6.677925e+04, +1.347527e+04, +2.748671e+06, -1.037745e+06, +4.001421e+05
-5.622210e+04, +3.519818e+04, -1.891826e+04, -1.037745e+06, +5.435443e+05, -2.304011e+05
+2.621052e+04, -1.686113e+04, +9.008387e+03, +4.001421e+05, -2.304011e+05, +1.016893e+05

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK0038: -0.000360 s

Reference point on the trajectory:
  Time: 2021-08-10 02:58:10.887737 UTC
  Lon     = +-2.752564 +/- 0.0009 deg
  Lat     = +50.346081 +/- 0.0008 deg
  Lat geo = +50.159992 +/- 0.0008 deg
  Ht      =  106377.02 +/- 90.94 m

  JD dynamic   = 2459436.624537867494 
  LST apparent = 0.6079573338 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  39.58509 +/- 2.6191 deg
  Dec       = +54.33938 +/- 0.6113 deg
  Azimuth   =  65.18531 +/- 1.7670 deg
  Elevation = +66.17128 +/- 1.4490 deg
  Vavg      =  51.84037 +/- 0.6125 km/s
  Vinit     =  60.00999 +/- 0.6812 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  39.96795 +/- 2.6191 deg
  Dec       = +54.19152 +/- 0.6113 deg
  Azimuth   =  65.48182 +/- 1.7670 deg
  Elevation = +65.93175 +/- 1.4490 deg
  Vavg      =  51.95190 +/- 0.6125 km/s
  Vinit     =  60.12152 +/- 0.6812 km/s
Radiant (geocentric, J2000):
  R.A.   =  39.56114 +/- 2.6469 deg
  Dec    = +54.22398 +/- 0.6124 deg
  Vg     =  58.97478 +/- 0.6932 km/s
  Vinf   =  60.00999 +/- 0.6812 km/s
  Zc     =  23.90738 +/- 1.4532 deg
  Zg     =  24.11846 +/- 1.4716 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  55.84512 +/- 1.9970 deg
  Bg     = +36.60320 +/- 0.3929 deg
  Vh     =  39.81293 +/- 0.5085 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  68.28079 +/- 5.3014 deg
  Bh     = +62.04060 +/- 0.5474 deg
  Vh_x   =  -6.90755 +/- 1.6360 km/s
  Vh_y   = -17.34099 +/- 0.5377 km/s
  Vh_z   = -35.16597 +/- 0.5838 km/s
Orbit:
  La Sun = 137.427851 +/- -0.0000 deg
  a      =   5.371078 +/- 2.1340 AU
  e      =   0.817106 +/- 0.0417
  i      = 116.382873 +/- 0.8617 deg
  peri   = 158.611434 +/- 5.8926 deg
  node   = 137.427845 +/- 0.0001 deg
  Pi     = 296.039280 +/- 5.8926 deg
  q      =   0.982339 +/- 0.0181 AU
  f      =  21.384919 +/- 5.8926 deg
  M      =   1.267315 +/- 0.8386 deg
  Q      =   9.759817 +/- 4.2547 AU
  n      =   0.079179 +/- 0.0281 deg/day
  T      =  12.447807 +/- 9.0773 years
  Last perihelion JD = 2459420.618910 (2021-07-25 02:51:13.832989) +/- 4.2706 days
  Tj     =   0.448452 +/- 0.2572
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.777123e-03, +6.860903e-04, +1.727250e-01, -2.221091e-08, +4.120388e-03, +3.185940e-04
q   , +6.860903e-04, +3.359559e-04, +7.798426e-02, -1.492350e-08, +1.886390e-03, +2.145593e-04
Tp  , +1.727250e-01, +7.798426e-02, +1.865533e+01, -3.292946e-06, +4.491352e-01, +4.730403e-02
node, -2.221091e-08, -1.492350e-08, -3.292946e-06, +1.121259e-12, -8.085165e-08, -1.611487e-08
peri, +4.120388e-03, +1.886390e-03, +4.491352e-01, -8.085165e-08, +1.082200e-02, +1.161628e-03
i   , +3.185940e-04, +2.145593e-04, +4.730403e-02, -1.611487e-08, +1.161628e-03, +2.316226e-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: UK000H
  Avg. res. = 2.643e-05 s
  Stddev    = 5.14e-03 s

Begin point on the trajectory:
  Lon =    -2.752138 +/- 0.0008 deg
  Lat =    50.346208 +/- 0.0007 deg
  Ht  = 106454.06 +/- 103.71 m
End point on the trajectory:
  Lon =    -2.796615 +/- 0.0010 deg
  Lat =    50.333238 +/- 0.0011 deg
  Ht  = 98555.83 +/- 132.76 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   106454.06,    98555.83,          0.014987,     33.32,     13.31,              63.63, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_025803_066_0598784.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   105276.55,    99663.63,          0.013823,     37.27,      4.94,              64.29, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_025805_097_0594688.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,     UK000H,       0,  0.000000, 2459436.623737126589, 329.21848,  19.20320,              230.88590,  49.34370,       230.85822,       49.34156,    329.21848,     +19.20320,     329.23363,      +19.19202,  4146020.83,    44025.37,  4969451.98,      50.346208,       -2.752138,  106454.06,  139461.21,       0.00,               84.21,   545.28,      0.00,           58326.46,    -16.40,     41.04,          65.37,  +3.19,  +2.47
  1,     UK000H,       0,  0.040628, 2459436.623737596907, 328.74242,  18.60169,              230.99796,  48.59587,       230.99644,       48.59575,    328.74242,     +18.60169,     328.74343,      +18.60107,  4145109.67,    43271.99,  4967804.27,      50.343166,       -2.762586,  104598.96,  138562.04,    2027.99,             1943.77,   -33.25,  49916.04,           58326.46,     -0.91,      2.28,           3.65,  +1.51,  +0.80
  2,     UK000H,       0,  0.081424, 2459436.623738069087, 328.13000,  17.83501,              231.15009,  47.63886,       231.16653,       47.64013,    328.13000,     +17.83501,     328.12106,      +17.84182,  4143958.31,    42320.01,  4965722.20,      50.339319,       -2.775751,  102254.95,  137458.77,    4590.59,             4506.38,    81.19,  62815.05,           58326.46,      9.91,    -24.84,          40.13,  +1.34,  +0.65
  3,     UK000H,       0,  0.122204, 2459436.623738540802, 327.52648,  17.08643,              231.30741,  46.70058,       231.32764,       46.70214,    327.52648,     +17.08643,     327.51540,      +17.09492,  4142845.99,    41400.30,  4963710.70,      50.335598,       -2.788483,   99990.55,  136430.50,    7066.32,             6982.11,   109.71,  60709.43,           58326.46,     12.32,    -30.87,          50.25,  +2.04,  +1.37
  4,     UK000H,       0,  0.162696, 2459436.623739009723, 327.10923,  16.62786,              231.46093,  46.10180,       231.42975,       46.09939,    327.10923,     +16.62786,     327.12795,      +16.61466,  4142141.19,    40817.55,  4962436.18,      50.333238,       -2.796615,   98555.83,  135800.70,    8635.00,             8550.79,  -751.53,  38740.48,           54821.09,    -19.14,     47.87,          78.31,  +4.50,  +3.84
  0,     UK0038,       0,  0.016450, 2459436.623737229966, 350.91680,   3.45763,              193.43880,  41.35995,       193.43448,       41.35873,    350.91680,      +3.45763,     350.91987,       +3.45595,  4145442.49,    43547.17,  4968406.12,      50.344277,       -2.758699,  105276.55,  157437.99,       0.00,             1203.02,   676.90,      0.00,           51546.03,      1.26,      9.45,          12.49,  +3.58,  +2.59
  1,     UK0038,       0,  0.056798, 2459436.623737697024, 350.62724,   2.95783,              193.72087,  40.82312,       193.70887,       40.81972,    350.62724,      +2.95783,     350.63593,       +2.95313,  4144658.39,    42898.85,  4966988.19,      50.341658,       -2.767715,  103680.19,  156691.77,    1745.18,             2948.21,     0.80,  43253.25,           51546.03,      3.49,     26.27,          34.89,  +2.11,  +1.13
  2,     UK0038,       0,  0.097286, 2459436.623738165945, 350.21565,   2.25799,              194.11674,  40.06941,       194.08529,       40.06051,    350.21565,      +2.25799,     350.23847,       +2.24553,  4143567.47,    41996.84,  4965015.40,      50.338012,       -2.780199,  101459.28,  155679.45,    4173.27,             5376.29,    -0.80,  59970.53,           51546.03,      9.16,     69.11,          92.37,  +1.46,  +0.50
  3,     UK0038,       0,  0.137710, 2459436.623738633469, 349.91224,   1.66668,              194.38815,  39.43849,       194.38807,       39.43847,    349.91224,      +1.66668,     349.91285,       +1.66664,  4142685.39,    41267.52,  4963420.30,      50.335060,       -2.790330,   99663.63,  154884.44,    6136.52,             7339.54,  -463.40,  48566.39,           51546.03,      0.02,      0.18,           0.24,  +3.15,  +2.20

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.