Orbital Analysis for matched events on 20210813_011316.763_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.84° Bg 38.91° Vg 58.85km/s
mass 0.03334g, abs. mag -0.9
Path Details
------------
start -4.96° 51.93° 107.95km
end   -5.10° 51.86° 93.59km

Orbit Details
-------------
Semimajor axis 18.81A.U., eccentricity 0.95, inclination 112.23°, Period 81.59Y, LA Sun 140.24°, last Perihelion 2021-07-22

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: 2459439.550888465717
Time: 2021-08-13 01:13:16.763438 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK003H
 Convergence angle = 51.76861 deg
 R.A. =  49.14465  Dec = +58.50838 deg

Best intersection: Stations UK002H and UK003H with Qconv = 51.77 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3633710.29 +/- 57.25 m
 Y =  -1689915.93 +/- 119.68 m
 Z =   5083233.19 +/- 53.69 m
 Vx =    20500.62 +/- 206.10 m/s
 Vy =    23185.12 +/- 472.12 m/s
 Vz =    51269.74 +/- 261.60 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.453923e+03, -2.446157e+03, +6.072754e+02, +6.843587e+03, -1.085612e+04, +6.391408e+01
-2.446157e+03, +1.516360e+04, -6.142133e+02, -5.863957e+03, +3.722368e+04, -1.023694e+04
+6.072754e+02, -6.142133e+02, +2.987580e+03, -1.728869e+03, -1.510332e+04, +6.375830e+03
+6.843587e+03, -5.863957e+03, -1.728869e+03, +2.968231e+04, -1.319236e+04, -1.198445e+04
-1.085612e+04, +3.722368e+04, -1.510332e+04, -1.319236e+04, +2.248385e+05, -6.939308e+04
+6.391408e+01, -1.023694e+04, +6.375830e+03, -1.198445e+04, -6.939308e+04, +3.736783e+04

Timing offsets (from input data):
    UK002H: 0.000000 s
    UK003H: -0.000290 s

Reference point on the trajectory:
  Time: 2021-08-13 01:13:16.763438 UTC
  Lon     = +-4.961616 +/- 0.0015 deg
  Lat     = +51.932780 +/- 0.0006 deg
  Lat geo = +51.748934 +/- 0.0006 deg
  Ht      =  107959.70 +/- 72.23 m

  JD dynamic   = 2459439.551689206623 
  LST apparent = 335.0584526442 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.51641 +/- 0.6587 deg
  Dec       = +58.88290 +/- 0.3543 deg
  Azimuth   =  50.24957 +/- 0.3910 deg
  Elevation = +49.88311 +/- 0.4198 deg
  Vavg      =  59.26246 +/- 0.0461 km/s
  Vinit     =  59.88665 +/- 0.0839 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.66906 +/- 0.6587 deg
  Dec       = +58.65392 +/- 0.3543 deg
  Azimuth   =  50.52542 +/- 0.3910 deg
  Elevation = +49.71879 +/- 0.4198 deg
  Vavg      =  59.40777 +/- 0.0461 km/s
  Vinit     =  60.03196 +/- 0.0839 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.73939 +/- 0.6568 deg
  Dec    = +58.65754 +/- 0.3589 deg
  Vg     =  58.84943 +/- 0.0854 km/s
  Vinf   =  59.88665 +/- 0.0839 km/s
  Zc     =  40.23466 +/- 0.4192 deg
  Zg     =  40.60132 +/- 0.4229 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.84296 +/- 0.3120 deg
  Bg     = +38.90882 +/- 0.4300 deg
  Vh     =  41.27884 +/- 0.1715 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.93651 +/- 0.5700 deg
  Bh     = +63.56505 +/- 0.6227 deg
  Vh_x   =  -1.62191 +/- 0.1639 km/s
  Vh_y   = -18.30486 +/- 0.3592 km/s
  Vh_z   = -36.96274 +/- 0.3266 km/s
Orbit:
  La Sun = 140.237363 +/- nan deg
  a      =  18.812288 +/- 17.9452 AU
  e      =   0.949690 +/- 0.0151
  i      = 112.231961 +/- 0.5197 deg
  peri   = 149.846176 +/- 1.0290 deg
  node   = 140.236944 +/- 0.0000 deg
  Pi     = 290.083121 +/- 1.0291 deg
  q      =   0.946454 +/- 0.0039 AU
  f      =  30.150049 +/- 1.0290 deg
  M      =   0.255156 +/- 0.1035 deg
  Q      =  36.678121 +/- 35.8896 AU
  n      =   0.012079 +/- 0.0049 deg/day
  T      =  81.594907 +/- 184.6583 years
  Last perihelion JD = 2459418.428310 (2021-07-22 22:16:45.942871) +/- 0.7095 days
  Tj     =  -0.173951 +/- 0.0772
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.484440e-04, +3.549201e-05, +8.145431e-03, +8.878785e-09, +1.853029e-04, -1.257062e-04
q   , +3.549201e-05, +1.662424e-05, +2.935540e-03, +2.263620e-09, +7.539775e-05, -3.205791e-05
Tp  , +8.145431e-03, +2.935540e-03, +5.388919e-01, +4.428056e-07, +1.358076e-02, -6.270833e-03
node, +8.878785e-09, +2.263620e-09, +4.428056e-07, +4.569718e-13, +1.081145e-08, -6.467013e-09
peri, +1.853029e-04, +7.539775e-05, +1.358076e-02, +1.081145e-08, +3.454395e-04, -1.531130e-04
i   , -1.257062e-04, -3.205791e-05, -6.270833e-03, -6.467013e-09, -1.531130e-04, +9.152177e-05

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: UK002H
  Avg. res. = 1.549e-05 s
  Stddev    = 3.94e-03 s

Begin point on the trajectory:
  Lon =    -4.961670 +/- 0.0014 deg
  Lat =    51.932752 +/- 0.0006 deg
  Ht  = 107953.84 +/- 52.55 m
End point on the trajectory:
  Lon =    -5.096236 +/- 0.0014 deg
  Lat =    51.864084 +/- 0.0004 deg
  Ht  = 93591.27 +/- 37.30 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.000000,   0.000000,   107953.84,    93591.27,          0.018929,     78.09,     39.30,             104.13, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20210813_011312_787_0434176.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   106699.37,    95488.88,          0.019130,     14.80,     71.57,              84.27, 1.0000,    True,    True, {"ff_name": "FF_UK003H_20210813_011311_614_0448256.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,     UK002H,       0,  0.000000, 2459439.550888465717, 294.59207,  -2.86129,              227.88674,  23.29542,       227.86059,       23.29419,    294.59207,      -2.86129,     294.61293,       -2.87303,  3633707.67, -1689918.89,  5083226.63,      51.932752,       -4.961670,  107953.84,  261689.58,       0.00,                7.67,   166.05,      0.00,           58379.81,    -49.43,     98.07,          86.57,  +2.28,  +0.19
  1,     UK002H,       0,  0.040404, 2459439.550888933241, 294.37976,  -3.32280,              227.87108,  22.78775,       227.89066,       22.78868,    294.37976,      -3.32280,     294.36399,       -3.31397,  3632889.22, -1690844.52,  5081179.77,      51.924043,       -4.978774,  106125.63,  262310.07,    2390.87,             2398.54,   137.26,  59174.09,           58379.81,     37.19,    -73.92,          65.07,  +1.09,  -1.00
  2,     UK002H,       0,  0.080788, 2459439.550889400765, 294.12332,  -3.75939,              227.90994,  22.28294,       227.92049,       22.28344,    294.12332,      -3.75939,     294.11496,       -3.75461,  3632067.25, -1691774.12,  5079124.12,      51.915288,       -4.995955,  104289.93,  262953.71,    4792.01,             4799.68,   119.94,  59457.78,           58379.81,     20.17,    -40.08,          35.20,  +0.59,  -1.51
  3,     UK002H,       0,  0.121152, 2459439.550889867824, 293.88683,  -4.17205,              227.94046,  21.80845,       227.94841,       21.80882,    293.88683,      -4.17205,     293.88072,       -4.16844,  3631291.45, -1692651.51,  5077183.93,      51.907018,       -5.012182,  102557.64,  263580.33,    7058.30,             7065.97,   -31.04,  56146.25,           58379.81,     15.28,    -30.36,          26.60,  +0.83,  -1.27
  4,     UK002H,       0,  0.161532, 2459439.550890334882, 293.61518,  -4.60647,              227.99382,  21.29892,       227.97810,       21.29818,    293.61518,      -4.60647,     293.62855,       -4.61365,  3630452.46, -1693600.36,  5075085.73,      51.898068,       -5.029720,  100684.64,  264277.65,    9509.14,             9516.81,     1.58,  60694.47,           58655.36,    -30.45,     60.42,          52.81,  +0.69,  -1.42
  5,     UK002H,       0,  0.201920, 2459439.550890802406, 293.39556,  -5.04730,              227.99377,  20.80676,       228.00651,       20.80736,    293.39556,      -5.04730,     293.38582,       -5.04146,  3629641.84, -1694517.13,  5073058.45,      51.889412,       -5.046675,   98875.31,  264971.55,   11877.14,            11884.81,   -49.12,  58631.30,           58730.67,     24.79,    -49.24,          42.91,  +0.46,  -1.66
  6,     UK002H,       0,  0.242292, 2459439.550891269930, 293.17500,  -5.47132,              228.00226,  20.32929,       228.03396,       20.33079,    293.17500,      -5.47132,     293.14980,       -5.45674,  3628850.66, -1695411.92,  5071079.79,      51.880957,       -5.063229,   97109.68,  265667.69,   14188.36,            14196.03,  -155.65,  57248.07,           58598.75,     62.01,   -123.28,         107.14,  +0.62,  -1.50
  7,     UK002H,       0,  0.282696, 2459439.550891737454, 292.91332,  -5.93183,              228.03199,  19.80101,       228.06398,       19.80252,    292.91332,      -5.93183,     292.88795,       -5.91706,  3627968.56, -1696409.52,  5068873.77,      51.871523,       -5.081670,   95141.59,  266464.53,   16765.14,            16772.81,     1.48,  63775.42,           58975.44,     62.97,   -125.18,         108.47,  +0.53,  -1.60
  8,     UK002H,       0,  0.323000, 2459439.550892204046, 292.68472,  -6.27977,              228.08314,  19.38820,       228.08775,       19.38842,    292.68472,      -6.27977,     292.68210,       -6.27764,  3627273.60, -1697195.49,  5067135.74,      51.864084,       -5.096236,   93591.27,  267109.87,   18795.28,            18802.95,  -382.06,  50370.61,           58578.71,      9.13,    -18.13,          15.68,  +1.92,  -0.21
  0,     UK003H,       0,  0.030164, 2459439.550888878293, 251.50428,  34.06323,              290.32387,  28.18704,       290.32169,       28.18831,    251.50428,     +34.06323,     251.50700,      +34.06276,  3633146.09, -1690554.02,  5081822.17,      51.926777,       -4.973439,  106699.37,  219436.58,       0.00,             1648.17,     0.16,      0.00,           58991.13,     -8.63,      1.78,           8.28,  +2.25,  +0.54
  1,     UK003H,       0,  0.070644, 2459439.550889346749, 251.38382,  33.47819,              289.93715,  27.70166,       289.95398,       27.69194,    251.38382,     +33.47819,     251.36309,      +33.48177,  3632368.43, -1691433.50,  5079877.35,      51.918497,       -4.989702,  104962.52,  219264.07,    2271.68,             3919.85,  -152.37,  56118.61,           58991.13,     66.68,    -13.80,          64.05,  +1.28,  -0.42
  2,     UK003H,       0,  0.111164, 2459439.550889815670, 251.23186,  32.85448,              289.54582,  27.16822,       289.56313,       27.15825,    251.23186,     +32.85448,     251.21079,      +32.85815,  3631535.08, -1692375.98,  5077793.23,      51.909616,       -5.007120,  103101.61,  219104.62,    4706.08,             6354.26,  -144.58,  60079.03,           58991.13,     68.71,    -14.22,          66.06,  +1.15,  -0.55
  3,     UK003H,       0,  0.151692, 2459439.550890285056, 251.05578,  32.23053,              289.17596,  26.61819,       289.17329,       26.61972,    251.05578,     +32.23053,     251.05957,      +32.22997,  3630696.98, -1693323.82,  5075697.24,      51.900677,       -5.024640,  101230.48,  218971.52,    7154.34,             8802.52,  -123.41,  60409.07,           58991.13,    -10.61,      2.19,          10.21,  +1.52,  -0.18
  4,     UK003H,       0,  0.192256, 2459439.550890754443, 250.87379,  31.56477,              288.78321,  26.03236,       288.76185,       26.04462,    250.87379,     +31.56477,     250.90068,      +31.56028,  3629804.64, -1694333.02,  5073465.58,      51.891151,       -5.043286,   99238.64,  218859.31,    9761.08,            11409.25,    54.09,  64262.37,           60224.86,    -85.22,     17.58,          82.01,  +1.76,  +0.06
  5,     UK003H,       0,  0.232816, 2459439.550891223829, 250.77314,  30.86077,              288.31117,  25.46468,       288.34016,       25.44807,    250.77314,     +30.86077,     250.73858,      +30.86683,  3628881.64, -1695376.87,  5071157.28,      51.881289,       -5.062571,   97178.85,  218775.67,   12457.34,            14105.51,   321.34,  66475.70,           61470.89,    115.89,    -24.01,         111.59,  +4.48,  +2.78
  6,     UK003H,       0,  0.273304, 2459439.550891692284, 250.58302,  30.30099,              288.01589,  24.94625,       287.99688,       24.95713,    250.58302,     +30.30099,     250.60719,      +30.29703,  3628124.23, -1696233.47,  5069263.08,      51.873188,       -5.078429,   95488.88,  218733.73,   14669.90,            16318.07,   109.22,  54647.42,           61185.30,    -76.21,     15.72,          73.38,  +3.66,  +1.96

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.