Orbital Analysis for matched events on 20210813_225101.912_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.30° Bg 36.13° Vg 57.36km/s
mass 0.01092g, abs. mag 0.4
Path Details
------------
start -1.48° 53.87° 110.54km
end   -1.59° 53.79° 102.35km

Orbit Details
-------------
Semimajor axis 3.62A.U., eccentricity 0.75, inclination 114.63°, Period 6.90Y, LA Sun 141.10°, last Perihelion 2021-07-16

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: 2459440.452105473727
Time: 2021-08-13 22:51:01.912930 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK002Z
 Convergence angle = 6.56857 deg
 R.A. =  51.40088  Dec = +58.25136 deg

Best intersection: Stations UK000Y and UK002Z with Qconv = 6.57 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2136778.72 +/- 104.50 m
 Y =  -3183632.41 +/- 99.61 m
 Z =   5217389.94 +/- 992.56 m
 Vx =    19582.25 +/- 2094.74 m/s
 Vy =    25220.01 +/- 2938.66 m/s
 Vz =    48925.09 +/- 3765.30 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.855875e+03, +4.377712e+03, +4.226462e+04, +1.757793e+03, -1.659232e+03, +6.643772e+04
+4.377712e+03, +5.276145e+03, +3.922121e+04, -4.977310e+03, -4.750516e+03, +6.620853e+04
+4.226462e+04, +3.922121e+04, +4.252384e+05, +1.336078e+04, +2.382295e+02, +7.170713e+05
+1.757793e+03, -4.977310e+03, +1.336078e+04, +6.175664e+04, +6.362553e+04, -9.161445e+04
-1.659232e+03, -4.750516e+03, +2.382295e+02, +6.362553e+04, +1.052159e+05, -2.527520e+05
+6.643772e+04, +6.620853e+04, +7.170713e+05, -9.161445e+04, -2.527520e+05, +2.929594e+06

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK002Z: 0.007161 s

Reference point on the trajectory:
  Time: 2021-08-13 22:51:01.912930 UTC
  Lon     = +-1.477880 +/- 0.0021 deg
  Lat     = +53.868362 +/- 0.0053 deg
  Lat geo = +53.688029 +/- 0.0053 deg
  Ht      =  110481.36 +/- 789.91 m

  JD dynamic   = 2459440.452906214632 
  LST apparent = 303.8685771909 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  52.17220 +/- 0.3764 deg
  Dec       = +56.87046 +/- 2.3626 deg
  Azimuth   =  39.36806 +/- 1.8387 deg
  Elevation = +35.11095 +/- 1.8325 deg
  Vavg      =  56.12806 +/- 2.6570 km/s
  Vinit     =  58.42241 +/- 2.9111 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  52.01593 +/- 0.3764 deg
  Dec       = +56.65289 +/- 2.3626 deg
  Azimuth   =  39.62624 +/- 1.8387 deg
  Elevation = +35.01089 +/- 1.8325 deg
  Vavg      =  56.27363 +/- 2.6570 km/s
  Vinit     =  58.56798 +/- 2.9111 km/s
Radiant (geocentric, J2000):
  R.A.   =  52.43200 +/- 0.4130 deg
  Dec    = +56.39674 +/- 2.4307 deg
  Vg     =  57.35902 +/- 2.9674 km/s
  Vinf   =  58.42241 +/- 2.9111 km/s
  Zc     =  55.02854 +/- 1.8289 deg
  Zg     =  55.57675 +/- 1.9105 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.30385 +/- 0.7093 deg
  Bg     = +36.13487 +/- 2.3728 deg
  Vh     =  38.81448 +/- 3.7264 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.56742 +/- 0.6864 deg
  Bh     = +60.62552 +/- 1.1785 deg
  Vh_x   =  -1.13995 +/- 0.2097 km/s
  Vh_y   = -19.00495 +/- 1.1980 km/s
  Vh_z   = -33.82420 +/- 3.6134 km/s
Orbit:
  La Sun = 141.102815 +/- 0.0000 deg
  a      =   3.623557 +/- 4.4707 AU
  e      =   0.746963 +/- 0.2678
  i      = 114.628918 +/- 1.1622 deg
  peri   = 141.073509 +/- 16.3829 deg
  node   = 141.101349 +/- 0.0001 deg
  Pi     = 282.174858 +/- 16.3829 deg
  q      =   0.916895 +/- 0.0456 AU
  f      =  38.922362 +/- 16.3828 deg
  M      =   4.012001 +/- nan deg
  Q      =   6.330220 +/- 8.9372 AU
  n      =   0.142890 +/- 0.2453 deg/day
  T      =   6.897685 +/- 304543475.7126 years
  Last perihelion JD = 2459412.375328 (2021-07-16 21:00:28.352049) +/- 12.2174 days
  Tj     =   0.973833 +/- 1.6845
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.414800e-02, +2.274175e-03, +6.950398e-01, +8.097986e-08, +1.466893e-02, -1.026370e-03
q   , +2.274175e-03, +4.343650e-04, +1.274644e-01, +1.087888e-08, +2.752342e-03, -1.374793e-04
Tp  , +6.950398e-01, +1.274644e-01, +3.783458e+01, +3.407491e-06, +8.123712e-01, -4.309391e-02
node, +8.097986e-08, +1.087888e-08, +3.407491e-06, +9.771223e-13, +7.080629e-08, -1.240038e-08
peri, +1.466893e-02, +2.752342e-03, +8.123712e-01, +7.080629e-08, +1.749783e-02, -8.951081e-04
i   , -1.026370e-03, -1.374793e-04, -4.309391e-02, -1.240038e-08, -8.951081e-04, +1.573782e-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: UK000Y
  Avg. res. = 5.348e-07 s
  Stddev    = 7.31e-04 s

Begin point on the trajectory:
  Lon =    -1.477122 +/- 0.0020 deg
  Lat =    53.868908 +/- 0.0053 deg
  Ht  = 110537.60 +/- 786.45 m
End point on the trajectory:
  Lon =    -1.588660 +/- 0.0026 deg
  Lat =    53.789115 +/- 0.0016 deg
  Ht  = 102345.65 +/- 356.45 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   110537.60,   102862.52,          0.019505,     11.15,     46.95,              26.31, 1.0000,    True,    True, {"ff_name": "FF_UK000Y_20210813_225056_949_0231168.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   108938.81,   102345.65,          0.009822,      3.28,     22.99,              70.10, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_225100_875_0236288.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,     UK000Y,       0,  0.000000, 2459440.452105473727,  54.26304,  82.46335,               10.97853,  49.87630,        11.01107,       49.91811,     54.26304,     +82.46335,      53.90673,      +82.46536,  2136811.50, -3183590.20,  5217471.82,      53.868908,       -1.477122,  110537.60,  143310.67,       0.00,               97.77,   849.18,      0.00,           52387.04,   -113.81,    -27.06,         168.38,  +4.05,  +3.27
  1,     UK000Y,       0,  0.039936, 2459440.452105936129,  54.07423,  82.77689,               10.57055,  50.04957,        10.57590,       50.05649,     54.07423,     +82.77689,      54.01297,      +82.77721,  2136220.73, -3184351.06,  5215995.82,      53.859062,       -1.490954,  109523.95,  141721.88,    1762.52,             1664.75,    83.00,  44133.65,           52387.04,    -18.61,     -4.40,          27.83,  +1.16,  +0.40
  2,     UK000Y,       0,  0.079884, 2459440.452106398530,  54.16128,  83.21389,                9.96371,  50.24923,         9.96273,       50.24795,     54.16128,     +83.21389,      54.17364,      +83.21383,  2135412.28, -3185392.25,  5213975.97,      53.845580,       -1.509818,  108137.33,  139555.14,    4174.46,             4076.69,   161.08,  60376.85,           52387.04,      3.37,      0.80,           5.12,  +0.83,  +0.11
  3,     UK000Y,       0,  0.119844, 2459440.452106860932,  54.28050,  83.58673,                9.43899,  50.41356,         9.43526,       50.40859,     54.28050,     +83.58673,      54.33022,      +83.58648,  2134742.79, -3186254.49,  5212303.28,      53.834409,       -1.525465,  106989.46,  137766.90,    6171.86,             6074.09,  -176.08,  49985.00,           52387.04,     12.88,      3.04,          19.81,  +0.78,  +0.08
  4,     UK000Y,       0,  0.159804, 2459440.452107323334,  54.60093,  84.06254,                8.75285,  50.60643,         8.75603,       50.61076,     54.60093,     +84.06254,      54.55545,      +84.06278,  2133909.62, -3187327.54,  5210221.65,      53.820499,       -1.544893,  105561.53,  135550.14,    8657.57,             8559.80,   -24.93,  62205.01,           54377.24,    -11.00,     -2.60,          17.21,  +0.94,  +0.28
  5,     UK000Y,       0,  0.199768, 2459440.452107785735,  54.97395,  84.53258,                8.06914,  50.79290,         8.07898,       50.80660,     54.97395,     +84.53258,      54.81713,      +84.53343,  2133112.37, -3188354.31,  5208229.78,      53.807180,       -1.563487,  104195.75,  133437.99,   11036.10,            10938.33,    18.81,  59516.86,           55680.21,    -34.10,     -8.07,          54.16,  +1.27,  +0.64
  6,     UK000Y,       0,  0.239720, 2459440.452108248137,  55.26291,  85.00687,                7.38348,  50.98932,         7.39094,       50.99992,     55.26291,     +85.00687,      55.13098,      +85.00758,  2132333.80, -3189357.03,  5206284.58,      53.794165,       -1.581644,  102862.52,  131384.28,   13358.91,            13261.13,     7.52,  58139.90,           56408.98,    -25.87,     -6.12,          41.73,  +2.13,  +1.54
  0,     UK002Z,       0,  0.055469, 2459440.452106009237, 240.20069,  52.78917,              295.92635,  52.53745,       295.92617,       52.53762,    240.20069,     +52.78917,     240.20122,      +52.78915,  2135879.62, -3184790.37,  5215143.57,      53.853374,       -1.498870,  108938.81,  136537.63,       0.00,             2682.43,   193.21,      0.00,           56636.45,     -0.48,     -0.07,           0.74,  +2.75,  +2.07
  1,     UK002Z,       0,  0.096029, 2459440.452106479090, 240.11454,  51.92330,              294.72162,  52.07925,       294.73863,       52.06344,    240.11454,     +51.92330,     240.08428,      +51.92481,  2135150.00, -3185730.05,  5213320.67,      53.841205,       -1.515912,  107687.58,  135819.93,    2176.77,             4859.20,     0.36,  53667.85,           56636.45,     44.47,      6.33,          68.22,  +1.19,  +0.53
  2,     UK002Z,       0,  0.136629, 2459440.452106948942, 239.94642,  51.03870,              293.55866,  51.55325,       293.54608,       51.56466,    239.94642,     +51.03870,     239.96889,      +51.03762,  2134408.89, -3186684.52,  5211469.06,      53.828836,       -1.533216,  106417.14,  135123.02,    4387.81,             7070.24,  -160.55,  54459.07,           56636.45,    -32.30,     -4.62,          49.80,  +1.13,  +0.48
  3,     UK002Z,       0,  0.177301, 2459440.452107419726, 239.84300,  50.00690,              292.19182,  50.97235,       292.19360,       50.97078,    239.84300,     +50.00690,     239.84070,      +50.00705,  2133556.98, -3187781.69,  5209340.61,      53.814609,       -1.553079,  104957.35,  134361.66,    6929.43,             9611.86,     4.91,  62490.66,           56636.45,      4.50,      0.64,           6.97,  +1.49,  +0.85
  4,     UK002Z,       0,  0.217945, 2459440.452107890043, 239.72304,  49.03578,              290.95129,  50.39668,       290.95083,       50.39707,    239.72304,     +49.03578,     239.72465,      +49.03575,  2132762.84, -3188804.47,  5207356.50,      53.801338,       -1.571602,  103597.15,  133692.19,    9298.70,            11981.13,    -0.34,  58293.21,           57481.63,     -1.12,     -0.16,           1.75,  +1.65,  +1.02
  5,     UK002Z,       0,  0.258541, 2459440.452108359896, 239.62690,  48.13260,              289.81832,  49.85609,       289.82296,       49.85217,    239.62690,     +48.13260,     239.62058,      +48.13297,  2132031.89, -3189745.87,  5205530.25,      53.789115,       -1.588660,  102345.65,  133110.99,   11479.46,            14161.89,  -191.29,  53718.62,           57185.66,     11.33,      1.62,          17.73,  +2.69,  +2.07

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.