Orbital Analysis for matched events on 20210813_225156.521_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.88° Bg 38.46° Vg 58.77km/s
mass 0.01614g, abs. mag -0.4
Path Details
------------
start -2.33° 54.28° 107.64km
end   -2.45° 54.19° 97.80km

Orbit Details
-------------
Semimajor axis 13.07A.U., eccentricity 0.93, inclination 112.71°, Period 47.24Y, LA Sun 141.10°, last Perihelion 2021-07-23

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: 2459440.452737518121
Time: 2021-08-13 22:51:56.521566 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002X and UK002Z
 Convergence angle = 83.82962 deg
 R.A. =  50.33470  Dec = +58.78288 deg

Best intersection: Stations UK002X and UK002Z with Qconv = 83.83 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2080435.68 +/- 15.24 m
 Y =  -3173951.99 +/- 8.12 m
 Z =   5242317.27 +/- 16.24 m
 Vx =    19742.77 +/- 181.28 m/s
 Vy =    23730.10 +/- 163.65 m/s
 Vz =    51232.38 +/- 294.01 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.541716e+02, +1.111440e+01, -6.392040e+01, +1.113368e+03, +8.833581e+01, -4.674035e+02
+1.111440e+01, +6.973527e+01, -1.634508e+01, -9.537116e+01, +1.789229e+02, -3.358429e+02
-6.392040e+01, -1.634508e+01, +2.813116e+02, -2.000986e+03, -1.880029e+03, -2.503631e+03
+1.113368e+03, -9.537116e+01, -2.000986e+03, +1.918779e+04, +1.557032e+04, +2.348931e+04
+8.833581e+01, +1.789229e+02, -1.880029e+03, +1.557032e+04, +2.084398e+04, +3.291325e+04
-4.674035e+02, -3.358429e+02, -2.503631e+03, +2.348931e+04, +3.291325e+04, +6.462971e+04

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK002X: -0.000078 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 22:51:56.521566 UTC
  Lon     = +-2.330910 +/- 0.0002 deg
  Lat     = +54.278026 +/- 0.0001 deg
  Lat geo = +54.098450 +/- 0.0001 deg
  Ht      =  107656.70 +/- 13.86 m

  JD dynamic   = 2459440.453538259026 
  LST apparent = 303.2437068687 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.24051 +/- 0.1209 deg
  Dec       = +58.92982 +/- 0.0805 deg
  Azimuth   =  38.40583 +/- 0.1121 deg
  Elevation = +37.39495 +/- 0.0492 deg
  Vavg      =  58.24227 +/- 0.0095 km/s
  Vinit     =  59.81347 +/- 0.2928 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.09163 +/- 0.1209 deg
  Dec       = +58.71309 +/- 0.0805 deg
  Azimuth   =  38.66636 +/- 0.1121 deg
  Elevation = +37.29488 +/- 0.0492 deg
  Vavg      =  58.37934 +/- 0.0095 km/s
  Vinit     =  59.95054 +/- 0.2928 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.48381 +/- 0.1207 deg
  Dec    = +58.49867 +/- 0.0802 deg
  Vg     =  58.77477 +/- 0.2979 km/s
  Vinf   =  59.81347 +/- 0.2928 km/s
  Zc     =  52.74586 +/- 0.0491 deg
  Zg     =  53.24350 +/- 0.0483 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.87544 +/- 0.0988 deg
  Bg     = +38.45861 +/- 0.0664 deg
  Vh     =  41.03045 +/- 0.2602 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.91748 +/- 0.3764 deg
  Bh     = +62.99014 +/- 0.1788 deg
  Vh_x   =  -1.32659 +/- 0.1354 km/s
  Vh_y   = -18.58644 +/- 0.2200 km/s
  Vh_z   = -36.55519 +/- 0.1817 km/s
Orbit:
  La Sun = 141.103422 +/- 0.0000 deg
  a      =  13.067165 +/- 79.7174 AU
  e      =   0.927885 +/- 0.0229
  i      = 112.709129 +/- 0.2372 deg
  peri   = 148.750059 +/- 0.4498 deg
  node   = 141.102095 +/- 0.0000 deg
  Pi     = 289.852154 +/- 0.4498 deg
  q      =   0.942333 +/- 0.0013 AU
  f      =  31.245864 +/- 0.4498 deg
  M      =   0.457671 +/- 0.1524 deg
  Q      =  25.191996 +/- 159.4340 AU
  n      =   0.020866 +/- 0.0069 deg/day
  T      =  47.235953 +/- 1464.8427 years
  Last perihelion JD = 2459418.519376 (2021-07-23 00:27:54.075732) +/- 0.4077 days
  Tj     =  -0.057913 +/- 0.1332
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.636506e-04, +2.341049e-05, +9.600229e-03, -6.608172e-09, +1.741369e-04, +8.546393e-05
q   , +2.341049e-05, +1.787432e-06, +5.096688e-04, -3.745794e-10, +1.040114e-05, +4.847593e-06
Tp  , +9.600229e-03, +5.096688e-04, +1.786155e-01, -1.260731e-07, +3.397240e-03, +1.630926e-03
node, -6.608172e-09, -3.745794e-10, -1.260731e-07, +1.101495e-13, -2.429479e-09, -1.425596e-09
peri, +1.741369e-04, +1.040114e-05, +3.397240e-03, -2.429479e-09, +6.611687e-05, +3.143260e-05
i   , +8.546393e-05, +4.847593e-06, +1.630926e-03, -1.425596e-09, +3.143260e-05, +1.845066e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000034
 a2 = 59.870679

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 1.993e-06 s
  Stddev    = 1.41e-03 s

Begin point on the trajectory:
  Lon =    -2.331110 +/- 0.0002 deg
  Lat =    54.277878 +/- 0.0001 deg
  Ht  = 107640.38 +/- 9.66 m
End point on the trajectory:
  Lon =    -2.453054 +/- 0.0002 deg
  Lat =    54.188485 +/- 0.0001 deg
  Ht  = 97804.02 +/- 7.17 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,    True,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   109291.17,    99938.41,          0.083727,       nan,       nan,              42.85, 0.0000,    True,    True, {"ff_name": "FF_UK000Y_20210813_225148_150_0232448.fits"}
    UK002X,   False,    -3.059440,    54.994170,   18.00,   1.510560,  16.440805,   107077.09,    98351.53,          0.008027,     18.84,      5.74,              74.18, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20210813_225153_492_0015616.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.002865,  44.289831,   107640.38,    97804.02,          0.004692,      6.02,     13.94,              73.72, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_225152_118_0237568.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,       1, -0.033629, 2459440.452737128828, 163.45192,  70.69265,              344.69944,  36.96822,       344.76502,       36.78970,    163.45192,     +70.69265,     163.05610,      +70.56077,  2081323.81, -3172884.48,  5244621.97,      54.292820,       -2.310717,  109291.17,  179453.17,       0.00,             2690.72,  4603.85,     -0.00,           64112.70,    461.71,    355.57,         669.83,  +5.57,  +4.30
  1,     UK000Y,       1,  0.087059, 2459440.452738525812, 166.55595,  69.28694,              342.68539,  36.26846,       342.68328,       36.27375,    166.55595,     +69.28694,     166.56804,      +69.29065,  2078730.92, -3176001.04,  5237893.45,      54.249599,       -2.369750,  104521.28,  173719.54,    7855.51,             5164.79,  -140.85,  65089.39,           64112.70,    -13.31,    -10.35,          20.02,  +1.76,  +0.56
  2,     UK000Y,       1,  0.127235, 2459440.452738990542, 167.65729,  68.85021,              341.99010,  36.09363,       341.99057,       36.09248,    167.65729,     +68.85021,     167.65527,      +68.84942,  2077896.94, -3177003.46,  5235729.26,      54.235677,       -2.388735,  102988.32,  171911.42,   10382.18,             7691.46,   -17.24,  62890.12,           64112.70,      2.88,      2.24,           4.37,  +1.24,  +0.06
  3,     UK000Y,       1,  0.167419, 2459440.452739455737, 168.68795,  68.39856,              341.30348,  35.90257,       341.30149,       35.90735,    168.68795,     +68.39856,     168.69918,      +68.40180,  2077080.64, -3177984.62,  5233610.96,      54.222042,       -2.407318,  101488.46,  170159.57,   12855.28,            10164.56,    52.31,  61544.44,           64112.70,    -11.83,     -9.20,          18.17,  +1.10,  -0.05
  4,     UK000Y,       1,  0.207619, 2459440.452739920933, 169.71592,  67.91045,              340.58552,  35.68943,       340.57775,       35.70770,    169.71592,     +67.91045,     169.75682,      +67.92258,  2076236.69, -3178999.02,  5231420.92,      54.207934,       -2.426521,   99938.41,  168367.49,   15412.14,            12721.42,   204.67,  63603.40,           63851.00,    -44.82,    -34.89,          69.58,  +2.18,  +1.05
  0,     UK002X,       0,  0.013768, 2459440.452737678308, 323.02772,  16.51769,              149.59069,  48.41674,       149.58893,       48.41535,    323.02772,     +16.51769,     323.02937,      +16.51671,  2080120.64, -3174330.64,  5241499.76,      54.272776,       -2.338079,  107077.09,  142212.56,       0.00,              954.44,    32.62,      0.00,           59488.68,     -1.31,      4.31,           6.54,  +1.97,  +1.21
  1,     UK002X,       0,  0.054188, 2459440.452738146298, 322.50234,  15.73652,              150.66055,  47.82104,       150.65308,       47.81523,    322.50234,     +15.73652,     322.50931,      +15.73243,  2079335.02, -3175274.93,  5239461.09,      54.259677,       -2.355980,  105632.06,  141590.67,    2380.14,             3334.58,    -4.89,  58885.29,           59488.68,     -5.52,     18.13,          27.61,  +1.38,  +0.62
  2,     UK002X,       0,  0.094636, 2459440.452738614287, 321.95484,  14.91001,              151.75987,  47.18042,       151.74863,       47.17182,    321.95484,     +14.91001,     321.96532,      +14.90390,  2078513.61, -3176262.24,  5237329.53,      54.245972,       -2.374686,  104121.78,  140980.83,    4868.72,             5823.16,    64.35,  61525.37,           59488.68,     -8.25,     27.07,          41.41,  +0.82,  +0.07
  3,     UK002X,       0,  0.135060, 2459440.452739082277, 321.44490,  14.13174,              152.76798,  46.56847,       152.75425,       46.55811,    321.44490,     +14.13174,     321.45773,      +14.12433,  2077748.07, -3177182.39,  5235342.96,      54.233191,       -2.392127,  102714.75,  140449.72,    7188.03,             8142.47,   -34.24,  57374.53,           59488.68,    -10.02,     32.86,          50.46,  +0.73,  -0.01
  4,     UK002X,       0,  0.175516, 2459440.452739550266, 320.92985,  13.31036,              153.78082,  45.90945,       153.77940,       45.90839,    320.92985,     +13.31036,     320.93185,      +13.30960,  2076955.04, -3178135.59,  5233285.04,      54.219943,       -2.410185,  101257.73,  139938.24,    9590.64,            10545.08,   -51.45,  59388.19,           59325.10,     -1.03,      3.39,           5.22,  +0.70,  -0.03
  5,     UK002X,       0,  0.215972, 2459440.452740018722, 320.40261,  12.48406,              154.79214,  45.24175,       154.79232,       45.24188,    320.40261,     +12.48406,     320.40336,      +12.48415,  2076158.27, -3179093.27,  5231217.43,      54.206623,       -2.428325,   99794.40,  139464.34,   12004.56,            12959.00,   -57.34,  59667.78,           59327.36,      0.13,     -0.42,           0.65,  +0.75,  +0.03
  6,     UK002X,       0,  0.256432, 2459440.452740487177, 319.88750,  11.65966,              155.76714,  44.56612,       155.77463,       44.57155,    319.88750,     +11.65966,     319.88194,      +11.66365,  2075372.34, -3180037.93,  5229177.95,      54.193476,       -2.446216,   98351.53,  139036.50,   14385.64,            15340.08,   -96.31,  58850.23,           59277.01,      5.39,    -17.68,          27.42,  +1.01,  +0.29
  0,     UK002Z,       0,  0.000000, 2459440.452737518121, 212.55083,  46.45434,              303.54504,  34.33808,       303.54024,       34.34382,    212.55083,     +46.45434,     212.56082,      +46.45548,  2080426.81, -3173962.65,  5242294.26,      54.277878,       -2.331110,  107640.38,  187477.92,       0.00,               26.87,   -71.44,      0.00,           61020.69,    -20.95,     -9.05,          25.11,  +3.60,  +2.24
  1,     UK002Z,       0,  0.040512, 2459440.452737987041, 212.72666,  45.75034,              302.83231,  33.93501,       302.83187,       33.93553,    212.72666,     +45.75034,     212.72773,      +45.75044,  2079628.13, -3174922.63,  5240221.68,      54.264565,       -2.349307,  106171.12,  186817.55,    2419.72,             2446.59,   -74.88,  59728.43,           61020.69,     -1.91,     -0.82,           2.30,  +1.86,  +0.50
  2,     UK002Z,       0,  0.081052, 2459440.452738456428, 212.88896,  45.01572,              302.10584,  33.50195,       302.10201,       33.50644,    212.88896,     +45.01572,     212.89700,      +45.01660,  2078802.83, -3175914.61,  5238080.04,      54.250799,       -2.368102,  104653.48,  186165.64,    4920.07,             4946.94,     0.63,  61676.15,           61020.69,    -16.44,     -7.10,          19.85,  +1.46,  +0.11
  3,     UK002Z,       1,  0.121596, 2459440.452738925349, 213.02789,  44.27638,              301.39445,  33.05175,       301.37719,       33.07179,    213.02789,     +44.27638,     213.06248,      +44.28027,  2077980.64, -3176902.85,  5235946.47,      54.237075,       -2.386823,  103142.15,  185547.59,    7411.00,             7437.87,    66.49,  61437.79,           61020.69,    -73.45,    -31.76,          88.96,  +0.89,  -0.45
  4,     UK002Z,       0,  0.162116, 2459440.452739394270, 213.22106,  43.55160,              300.66745,  32.63749,       300.66725,       32.63772,    213.22106,     +43.55160,     213.22214,      +43.55165,  2077172.58, -3177874.11,  5233849.57,      54.223578,       -2.405222,  101657.37,  184971.11,    9859.12,             9886.00,    90.97,  60417.62,           60963.67,     -0.87,     -0.38,           1.06,  +0.78,  -0.56
  5,     UK002Z,       0,  0.202624, 2459440.452739863191, 213.36953,  42.85287,              299.99382,  32.21720,       299.99319,       32.21791,    213.36953,     +42.85287,     213.37159,      +42.85301,  2076402.71, -3178799.47,  5231851.73,      54.210710,       -2.422756,  100243.27,  184450.94,   12191.58,            12218.45,     0.50,  57580.09,           60464.31,     -2.65,     -1.14,           3.22,  +1.06,  -0.27
  6,     UK002Z,       0,  0.243120, 2459440.452740332112, 213.51156,  42.16923,              299.34093,  31.80268,       299.33990,       31.80384,    213.51156,     +42.16923,     213.51452,      +42.16945,  2075653.79, -3179699.64,  5229908.30,      54.198185,       -2.439814,   98868.16,  183972.25,   14460.52,            14487.39,  -152.76,  56028.88,           59811.11,     -4.30,     -1.86,           5.25,  +0.99,  -0.33
  7,     UK002Z,       0,  0.283500, 2459440.452740799170, 213.63358,  41.63857,              298.82955,  31.48594,       298.83555,       31.47920,    213.63358,     +41.63857,     213.62357,      +41.63730,  2075074.06, -3180396.45,  5228403.91,      54.188485,       -2.453054,   97804.02,  183622.04,   16216.89,            16243.76,  -811.67,  43495.84,           58184.58,     24.90,     10.75,          30.46,  +3.40,  +2.08

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.