Orbital Analysis for matched events on 20210813_001321.842_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.19° Bg 38.97° Vg 57.93km/s
mass 0.02481g, abs. mag -0.6
Path Details
------------
start -1.93° 51.63° 106.10km
end   -2.07° 51.54° 92.90km

Orbit Details
-------------
Semimajor axis 8.25A.U., eccentricity 0.89, inclination 111.43°, Period 23.70Y, LA Sun 140.20°, last Perihelion 2021-07-21

Full details below
Click here to download a zip of the raw and processed data.

Detailed report below graphs

Click on an image to see a larger view


Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459439.509280586615
Time: 2021-08-13 00:13:21.842684 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK000S
 Convergence angle = 54.22592 deg
 R.A. =  49.49898  Dec = +58.56724 deg

Best intersection: Stations UK0006 and UK000S with Qconv = 54.23 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3224032.65 +/- 20.72 m
 Y =  -2423572.11 +/- 31.23 m
 Z =   5060327.28 +/- 80.62 m
 Vx =    19911.88 +/- 143.24 m/s
 Vy =    22816.57 +/- 249.75 m/s
 Vz =    50611.57 +/- 240.09 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.798594e+02, +2.002072e+02, +1.281504e+03, +8.505043e+01, -5.171279e+02, +1.187139e+03
+2.002072e+02, +1.037334e+03, +1.928890e+02, -1.336351e+03, +2.623070e+03, -3.573331e+03
+1.281504e+03, +1.928890e+02, +7.022160e+03, -1.232161e+03, -4.775477e+03, +1.518565e+04
+8.505043e+01, -1.336351e+03, -1.232161e+03, +5.042833e+03, -5.613107e+03, +8.592254e+02
-5.171279e+02, +2.623070e+03, -4.775477e+03, -5.613107e+03, +1.774033e+04, -2.396104e+04
+1.187139e+03, -3.573331e+03, +1.518565e+04, +8.592254e+02, -2.396104e+04, +5.977403e+04

Timing offsets (from input data):
    UK0006: 0.000039 s
    UK000S: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:13:21.842684 UTC
  Lon     = +-1.933165 +/- 0.0004 deg
  Lat     = +51.627509 +/- 0.0004 deg
  Lat geo = +51.443140 +/- 0.0004 deg
  Ht      =  106006.07 +/- 70.86 m

  JD dynamic   = 2459439.510081327520 
  LST apparent = 323.0670572346 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.88900 +/- 0.2368 deg
  Dec       = +59.10591 +/- 0.1833 deg
  Azimuth   =  45.49206 +/- 0.1768 deg
  Elevation = +44.10530 +/- 0.1799 deg
  Vavg      =  56.45975 +/- 0.1362 km/s
  Vinit     =  58.97974 +/- 0.1661 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.92915 +/- 0.2368 deg
  Dec       = +58.86199 +/- 0.1833 deg
  Azimuth   =  45.76962 +/- 0.1768 deg
  Elevation = +43.96351 +/- 0.1799 deg
  Vavg      =  56.61091 +/- 0.1362 km/s
  Vinit     =  59.13090 +/- 0.1661 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.19421 +/- 0.2377 deg
  Dec    = +58.80452 +/- 0.1868 deg
  Vg     =  57.92598 +/- 0.1692 km/s
  Vinf   =  58.97974 +/- 0.1661 km/s
  Zc     =  46.02409 +/- 0.1796 deg
  Zg     =  46.46279 +/- 0.1836 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.19230 +/- 0.1170 deg
  Bg     = +38.96801 +/- 0.2048 deg
  Vh     =  40.54074 +/- 0.2346 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.69479 +/- 0.2322 deg
  Bh     = +63.97269 +/- 0.1986 deg
  Vh_x   =  -1.02564 +/- 0.0687 km/s
  Vh_y   = -17.75966 +/- 0.0797 km/s
  Vh_z   = -36.42930 +/- 0.2618 km/s
Orbit:
  La Sun = 140.197411 +/- -0.0000 deg
  a      =   8.249742 +/- 1.0434 AU
  e      =   0.886083 +/- 0.0197
  i      = 111.432556 +/- 0.1451 deg
  peri   = 147.744643 +/- 0.7073 deg
  node   = 140.196713 +/- 0.0000 deg
  Pi     = 287.941357 +/- 0.7073 deg
  q      =   0.939789 +/- 0.0024 AU
  f      =  32.251493 +/- 0.7073 deg
  M      =   0.950134 +/- 0.3154 deg
  Q      =  15.559694 +/- 2.0851 AU
  n      =   0.041595 +/- 0.0120 deg/day
  T      =  23.695243 +/- 4.1844 years
  Last perihelion JD = 2459416.667701 (2021-07-21 04:01:29.404812) +/- 0.5697 days
  Tj     =   0.204338 +/- 0.1111
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.142454e-04, +3.777102e-05, +1.094774e-02, +3.256363e-09, +2.234115e-04, -4.485795e-05
q   , +3.777102e-05, +5.721145e-06, +1.318677e-03, +3.860142e-10, +2.931807e-05, -5.317186e-06
Tp  , +1.094774e-02, +1.318677e-03, +3.344418e-01, +9.882486e-08, +7.163732e-03, -1.361303e-03
node, +3.256363e-09, +3.860142e-10, +9.882486e-08, +3.337448e-14, +2.109656e-09, -4.595710e-10
peri, +2.234115e-04, +2.931807e-05, +7.163732e-03, +2.109656e-09, +1.556500e-04, -2.906005e-05
i   , -4.485795e-05, -5.317186e-06, -1.361303e-03, -4.595710e-10, -2.906005e-05, +6.328367e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.018170
 a2 = 31.050988

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 1.651e-06 s
  Stddev    = 1.28e-03 s

Begin point on the trajectory:
  Lon =    -1.932145 +/- 0.0001 deg
  Lat =    51.628133 +/- 0.0003 deg
  Ht  = 106103.69 +/- 64.75 m
End point on the trajectory:
  Lon =    -2.071746 +/- 0.0003 deg
  Lat =    51.543388 +/- 0.0001 deg
  Ht  = 92902.73 +/- 28.97 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.017419,  30.932384,   102586.66,    92902.73,          0.012520,     17.90,     17.96,              72.35, 1.0000,   False,    True, {"ff_name": "FF_UK0006_20210813_001315_905_0346112.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   106103.69,    93566.88,          0.017123,      6.73,     38.50,              36.21, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210813_001321_258_0337664.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,     UK0006,       0,  0.092438, 2459439.509281785227, 295.67872,  31.64444,              236.22466,  61.24464,       236.27965,       61.24108,    295.67872,     +31.64444,     295.65141,      +31.65755,  3222373.55, -2425473.25,  5056110.20,      51.605622,       -1.969348,  102586.66,  116653.60,       0.00,             4914.34,   -38.47,      0.00,           58817.98,     38.48,    -38.37,          96.09,  -1.22,  -1.55
  1,     UK0006,       0,  0.133426, 2459439.509282259736, 294.98268,  30.62552,              235.95410,  60.07179,       235.97129,       60.07068,    294.98268,     +30.62552,     294.97407,      +30.62972,  3221536.69, -2426432.18,  5053983.09,      51.594570,       -1.987553,  100862.61,  115993.93,    2478.80,             7393.14,    22.87,  60476.20,           58817.98,     12.40,    -12.36,          31.14,  -1.18,  -1.50
  2,     UK0006,       0,  0.174430, 2459439.509282734245, 294.30166,  29.59822,              235.69608,  58.89483,       235.68321,       58.89567,    294.30166,     +29.59822,     294.30876,      +29.59499,  3220706.15, -2427383.88,  5051872.04,      51.583592,       -2.005623,   99152.03,  115388.44,    4938.90,             9853.23,    64.56,  59996.56,           58817.98,     -9.56,      9.52,          24.13,  -1.35,  -1.66
  3,     UK0006,       0,  0.215382, 2459439.509283208288, 293.70673,  28.62127,              235.41631,  57.79800,       235.43169,       57.79701,    293.70673,     +28.62127,     293.69897,      +28.62520,  3219937.67, -2428264.47,  5049918.73,      51.573427,       -2.022356,   97569.68,  114872.89,    7215.17,            12129.51,   -74.51,  55583.95,           58817.98,     11.73,    -11.68,          29.72,  -1.31,  -1.61
  4,     UK0006,       0,  0.256450, 2459439.509283683728, 293.01998,  27.55044,              235.19403,  56.57357,       235.16879,       56.57521,    293.01998,     +27.55044,     293.03459,      +27.54384,  3219090.82, -2429234.85,  5047766.23,      51.562216,       -2.040780,   95826.45,  114354.31,    9723.57,            14637.90,    11.71,  61079.07,           58987.24,    -19.81,     19.72,          50.41,  -1.34,  -1.63
  5,     UK0006,       0,  0.297410, 2459439.509284157772, 292.45571,  26.58205,              234.94890,  55.49121,       234.95027,       55.49112,    292.45571,     +26.58205,     292.45579,      +26.58241,  3218346.12, -2430088.18,  5045873.38,      51.552351,       -2.057001,   94293.87,  113942.82,   11929.39,            16843.72,  -198.28,  53853.00,           58302.77,      1.10,     -1.10,           2.81,  -0.95,  -1.23
  6,     UK0006,       0,  0.338294, 2459439.509284630883, 291.93333,  25.70183,              234.76213,  54.49964,       234.76140,       54.49969,    291.93333,     +25.70183,     291.93478,      +25.70163,  3217670.00, -2430862.94,  5044154.82,      51.543388,       -2.071746,   92902.73,  113605.72,   13932.09,            18846.43,  -606.91,  48985.05,           57062.96,     -0.60,      0.60,           1.55,  +0.85,  +0.57
  0,     UK000S,       0,  0.000000, 2459439.509280586615, 227.84401,  85.45281,              352.91473,  50.21453,       352.91509,       50.21324,    227.84401,     +85.45281,     227.82705,      +85.45279,  3224080.00, -2423517.86,  5060447.63,      51.628133,       -1.932145,  106103.69,  137273.55,       0.00,              140.25,   639.41,      0.00,           55867.41,      3.09,      0.54,           4.72,  +2.41,  +1.72
  1,     UK000S,       0,  0.040084, 2459439.509281050414, 227.50608,  84.95289,              352.15833,  50.08878,       352.14780,       50.12500,    227.50608,     +84.95289,     227.92461,      +84.95353,  3223398.63, -2424298.63,  5058715.72,      51.619149,       -1.946994,  104699.13,  135635.31,    2018.26,             1878.01,    13.02,  50350.78,           55867.41,    -85.91,    -15.08,         132.65,  +1.28,  +0.62
  2,     UK000S,       0,  0.080112, 2459439.509281513747, 227.96285,  84.39793,              351.29893,  50.01610,       351.29747,       50.02085,    227.96285,     +84.39793,     228.01242,      +84.39799,  3222658.69, -2425146.51,  5056834.96,      51.609386,       -1.963106,  103174.20,  133868.12,    4209.99,             4069.74,  -156.09,  54754.90,           55867.41,    -11.16,     -1.95,          17.46,  +0.99,  +0.36
  3,     UK000S,       0,  0.120168, 2459439.509281977545, 228.16038,  83.74216,              350.29616,  49.89680,       350.29843,       49.88988,    228.16038,     +83.74216,     228.09555,      +83.74208,  3221808.47, -2426120.76,  5054673.90,      51.598160,       -1.981595,  101422.47,  131853.35,    6728.37,             6588.11,    -0.20,  62871.41,           55867.41,     16.04,      2.79,          25.47,  +0.50,  -0.10
  4,     UK000S,       0,  0.160244, 2459439.509282441344, 228.17856,  83.08703,              349.30561,  49.75242,       349.30626,       49.75057,    228.17856,     +83.08703,     228.16298,      +83.08701,  3220984.61, -2427064.80,  5052579.82,      51.587273,       -1.999517,   99725.50,  129918.05,    9168.68,             9028.43,    76.44,  60892.13,           57536.38,      4.25,      0.74,           6.85,  +0.15,  -0.42
  5,     UK000S,       0,  0.200312, 2459439.509282905143, 228.18224,  82.48009,              348.39382,  49.60986,       348.39229,       49.61402,    228.18224,     +82.48009,     228.21533,      +82.48013,  3220243.20, -2427914.37,  5050695.32,      51.577469,       -2.015662,   98198.74,  128191.51,   11364.77,            11224.51,   -90.67,  54809.03,           57623.36,     -9.43,     -1.64,          15.40,  -0.28,  -0.82
  6,     UK000S,       0,  0.240364, 2459439.509283368476, 228.41314,  81.78390,              347.34205,  49.46900,       347.35001,       49.44847,    228.41314,     +81.78390,     228.26558,      +81.78373,  3219415.52, -2428862.79,  5048591.55,      51.566516,       -2.033668,   96494.79,  126281.35,   13816.38,            13676.13,    -1.32,  61210.78,           58038.70,     45.97,      7.99,          76.21,  -0.34,  -0.85
  7,     UK000S,       0,  0.280440, 2459439.509283832274, 228.45232,  81.08893,              346.30818,  49.29571,       346.31706,       49.27400,    228.45232,     +81.08893,     228.30804,      +81.08876,  3218613.85, -2429781.40,  5046553.87,      51.555898,       -2.051114,   94844.81,  124449.58,   16190.97,            16050.71,     9.60,  59252.06,           58312.93,     48.08,      8.35,          80.87,  -0.14,  -0.61
  8,     UK000S,       0,  0.320532, 2459439.509284296539, 228.24467,  80.53487,              345.50553,  49.11387,       345.49928,       49.12851,    228.24467,     +80.53487,     228.33802,      +80.53500,  3217992.81, -2430493.04,  5044975.33,      51.547668,       -2.064667,   93566.88,  123043.88,   18030.51,            17890.26,  -515.48,  45883.02,           57611.52,    -32.16,     -5.62,          54.73,  +1.51,  +1.06

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.