Orbital Analysis for matched events on 20210810_033643.873_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.17° Bg 40.39° Vg 57.82km/s
mass 0.01908g, abs. mag -0.5
Path Details
------------
start -1.43° 49.99° 104.50km
end   -1.50° 49.95° 89.02km

Orbit Details
-------------
Semimajor axis 21.38A.U., eccentricity 0.96, inclination 109.14°, Period 98.84Y, LA Sun 137.45°, last Perihelion 2021-07-18

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: 2459436.650507797953
Time: 2021-08-10 03:36:43.914379 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0038
 Convergence angle = 13.79992 deg
 R.A. =  47.65418  Dec = +60.23303 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 13.80 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4091672.61 +/- 175.77 m
 Y =    840126.07 +/- 95.36 m
 Z =   4943948.97 +/- 41.59 m
 Vx =    20201.53 +/- 820.01 m/s
 Vy =    21526.29 +/- 417.97 m/s
 Vz =    50944.95 +/- 717.91 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.190578e+04, +1.682924e+04, +5.840468e+03, +1.377972e+05, +6.920726e+04, -2.470840e+03
+1.682924e+04, +9.362352e+03, +3.301997e+03, +6.954304e+04, +3.664690e+04, -1.390144e+03
+5.840468e+03, +3.301997e+03, +1.777187e+03, +2.266297e+04, +1.165961e+04, -3.561373e+02
+1.377972e+05, +6.954304e+04, +2.266297e+04, +6.878800e+05, +3.389444e+05, -1.678263e+04
+6.920726e+04, +3.664690e+04, +1.165961e+04, +3.389444e+05, +1.754802e+05, -9.635521e+03
-2.470840e+03, -1.390144e+03, -3.561373e+02, -1.678263e+04, -9.635521e+03, +1.011838e+03

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK000H: 0.000000 s
    UK0038: 0.000562 s

Reference point on the trajectory:
  Time: 2021-08-10 03:36:43.914379 UTC
  Lon     = +-1.421478 +/- 0.0008 deg
  Lat     = +49.992775 +/- 0.0011 deg
  Lat geo = +49.806280 +/- 0.0011 deg
  Ht      =  106585.46 +/- 148.93 m

  JD dynamic   = 2459436.651309009176 
  LST apparent = 11.6030408621 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.81839 +/- 0.6562 deg
  Dec       = +59.90915 +/- 0.7325 deg
  Azimuth   =  50.01230 +/- 1.7119 deg
  Elevation = +67.83051 +/- 0.4590 deg
  Vavg      =  57.26913 +/- 0.3865 km/s
  Vinit     =  58.88014 +/- 0.4008 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.29851 +/- 0.6562 deg
  Dec       = +59.76061 +/- 0.7325 deg
  Azimuth   =  50.51181 +/- 1.7119 deg
  Elevation = +67.61976 +/- 0.4590 deg
  Vavg      =  57.35792 +/- 0.3865 km/s
  Vinit     =  58.96893 +/- 0.4008 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.78973 +/- 0.6721 deg
  Dec    = +59.86592 +/- 0.7386 deg
  Vg     =  57.82476 +/- 0.4083 km/s
  Vinf   =  58.88014 +/- 0.4008 km/s
  Zc     =  22.28977 +/- 0.4631 deg
  Zg     =  22.49392 +/- 0.4704 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.17442 +/- 0.7507 deg
  Bg     = +40.38796 +/- 0.5769 deg
  Vh     =  41.33706 +/- 0.0279 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.30145 +/- 2.7375 deg
  Bh     = +65.01677 +/- 0.5406 deg
  Vh_x   =  -0.21285 +/- 0.8126 km/s
  Vh_y   = -17.45753 +/- 0.3684 km/s
  Vh_z   = -37.46921 +/- 0.1752 km/s
Orbit:
  La Sun = 137.453536 +/- nan deg
  a      =  21.377648 +/- 1.1787 AU
  e      =   0.956430 +/- 0.0025
  i      = 109.141863 +/- 1.2002 deg
  peri   = 146.503551 +/- 1.0427 deg
  node   = 137.454248 +/- 0.0001 deg
  Pi     = 283.957799 +/- 1.0426 deg
  q      =   0.931427 +/- 0.0051 AU
  f      =  33.493128 +/- 1.0427 deg
  M      =   0.230645 +/- 0.0196 deg
  Q      =  41.823869 +/- 2.3586 AU
  n      =   0.009972 +/- 0.0008 deg/day
  T      =  98.841771 +/- 8.1725 years
  Last perihelion JD = 2459413.521133 (2021-07-18 00:30:25.931758) +/- 0.6086 days
  Tj     =  -0.144625 +/- 0.0228
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.291115e-06, -4.419663e-06, -4.457893e-04, +1.550704e-09, -1.463010e-05, -2.573181e-05
q   , -4.419663e-06, +2.718580e-05, +3.239247e-03, -6.546239e-09, +9.692656e-05, +1.078306e-04
Tp  , -4.457893e-04, +3.239247e-03, +3.873558e-01, -7.740833e-07, +1.156959e-02, +1.274602e-02
node, +1.550704e-09, -6.546239e-09, -7.740833e-07, +1.680776e-12, -2.326324e-08, -2.769909e-08
peri, -1.463010e-05, +9.692656e-05, +1.156959e-02, -2.326324e-08, +3.458852e-04, +3.831179e-04
i   , -2.573181e-05, +1.078306e-04, +1.274602e-02, -2.769909e-08, +3.831179e-04, +4.565087e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000486
 a2 = 41.630937

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 5.381e-06 s
  Stddev    = 2.32e-03 s

Begin point on the trajectory:
  Lon =    -1.430393 +/- 0.0006 deg
  Lat =    49.987954 +/- 0.0009 deg
  Ht  = 104498.96 +/- 110.69 m
End point on the trajectory:
  Lon =    -1.498043 +/- 0.0005 deg
  Lat =    49.951978 +/- 0.0010 deg
  Ht  = 89019.27 +/- 65.59 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
    UK0001,    True,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   106227.32,    98365.74,          0.184301,       nan,       nan,              56.44, 0.0000,    True,   False, {"ff_name": "FF_UK0001_20210810_033639_343_0659712.fits"}
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   104498.96,    89347.07,          0.018177,     29.26,     34.60,              56.44, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_033639_081_0656640.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   104011.44,    89019.27,          0.009327,     14.08,     28.38,              66.51, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_033641_100_0652544.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,     UK0001,       1, -1.003798, 2459436.650496179704,  21.49219,   7.91653,              165.24604,  46.22694,       164.99804,       46.14857,     21.49219,      +7.91653,      21.67193,       +7.86730,  4091539.92,   839984.69,  4943614.36,      49.991945,       -1.418648,  106227.32,  146173.95,       0.00,              386.74, 59652.23,     -0.00,           52441.88,    367.36,    311.26,         679.43,  +2.68,  +1.86
  1,     UK0001,       1, -0.963858, 2459436.650496642105,  21.34383,   7.37854,              165.57904,  45.71951,       165.33479,       45.64247,     21.34383,      +7.37854,      21.52207,       +7.32977,  4090951.89,   839358.10,  4942131.45,      49.988269,       -1.425614,  104640.16,  145205.20,    1713.89,             2100.63, 59014.44,  42911.55,           52441.88,    362.01,    306.74,         674.01,  +0.02,  -0.79
  2,     UK0001,       1, -0.923938, 2459436.650497104041,  21.14442,   6.64380,              166.02051,  45.02464,       165.78249,       44.94975,     21.14442,      +6.64380,      21.31966,       +6.59588,  4090161.54,   838515.92,  4940138.31,      49.983324,       -1.434922,  102506.99,  143925.84,    4017.48,             4404.21, 58967.54,  57705.11,           52441.88,    353.11,    299.20,         663.30,  -0.41,  -1.20
  3,     UK0001,       1, -0.884018, 2459436.650497566443,  20.94764,   5.93284,              166.44362,  44.35141,       166.20639,       44.27696,     20.94764,      +5.93284,      21.12389,       +5.88470,  4089408.78,   837713.79,  4938239.97,      49.978610,       -1.443799,  100475.36,  142731.23,    6211.50,             6598.24, 58811.07,  54960.63,           52441.88,    352.25,    298.52,         667.26,  -0.72,  -1.49
  4,     UK0001,       1, -0.844094, 2459436.650498028379,  20.75104,   5.17909,              166.86606,  43.63442,       166.64340,       43.56471,     20.75104,      +5.17909,      20.91786,       +5.13353,  4088627.08,   836880.83,  4936268.66,      49.973712,       -1.453015,   98365.74,  141516.21,    8489.86,             8876.60, 58738.70,  57067.42,           53794.26,    331.05,    280.47,         632.40,  -0.81,  -1.56
  0,     UK000H,       1,  0.000000, 2459436.650507797953,  21.55806,   7.98648,              165.13646,  46.28533,       165.09804,       46.27322,     21.55806,      +7.98648,      21.58652,       +7.97889,  4091659.75,   840112.38,  4943916.56,      49.992695,       -1.421457,  106545.98,  146316.31,       0.00,               37.46,   199.17,      0.00,           57227.09,     56.92,     48.12,         105.06,  +2.84,  +2.01
  1,     UK000H,       0,  0.040620, 2459436.650508268271,  21.35557,   7.29614,              165.58128,  45.63630,       165.53034,       45.62029,     21.35557,      +7.29614,      21.39376,       +7.28598,  4090901.50,   839304.40,  4942004.37,      49.987954,       -1.430393,  104498.96,  145067.29,    2210.04,             2247.50,    17.49,  54407.66,           57227.09,     75.50,     63.86,         140.60,  +0.21,  -0.60
  2,     UK000H,       0,  0.081312, 2459436.650508739054,  21.16133,   6.51368,              166.02528,  44.89349,       166.00246,       44.88633,     21.16133,      +6.51368,      21.17885,       +6.50910,  4090066.55,   838414.70,  4939898.76,      49.982729,       -1.440221,  102245.04,  143719.05,    4643.62,             4681.08,    55.12,  59804.79,           57227.09,     33.87,     28.63,          63.65,  -0.38,  -1.17
  3,     UK000H,       0,  0.121984, 2459436.650509209838,  20.96932,   5.76133,              166.44946,  44.17860,       166.44631,       44.17761,     20.96932,      +5.76133,      20.97222,       +5.76069,  4089276.68,   837573.04,  4937906.85,      49.977783,       -1.449531,  100112.91,  142470.13,    6945.78,             6983.24,   -37.49,  56603.19,           57227.09,      4.68,      3.95,           8.87,  -0.64,  -1.41
  4,     UK000H,       0,  0.162688, 2459436.650509681087,  20.75489,   4.97659,              166.90100,  43.43347,       166.89990,       43.43313,     20.75489,      +4.97659,      20.75641,       +4.97636,  4088463.44,   836706.46,  4935855.98,      49.972686,       -1.459116,   97917.77,  141212.10,    9316.10,             9353.56,   -63.82,  58233.19,           57452.03,      1.62,      1.37,           3.11,  -0.84,  -1.59
  5,     UK000H,       0,  0.203420, 2459436.650510152336,  20.52655,   4.16485,              167.36598,  42.66194,       167.35832,       42.65956,     20.52655,      +4.16485,      20.53333,       +4.16327,  4087635.29,   835824.00,  4933767.52,      49.967491,       -1.468879,   95682.53,  139960.82,   11729.86,            11767.32,   -48.38,  59259.39,           57774.84,     11.42,      9.65,          22.03,  -0.89,  -1.62
  6,     UK000H,       0,  0.244180, 2459436.650510624051,  20.28381,   3.32633,              167.84411,  41.86408,       167.82089,       41.85687,     20.28381,      +3.32633,      20.30296,       +3.32149,  4086793.11,   834926.60,  4931643.69,      49.962204,       -1.478808,   93409.56,  138720.01,   14184.50,            14221.96,     6.31,  60221.74,           58152.76,     34.64,     29.30,          67.46,  -1.01,  -1.72
  7,     UK000H,       0,  0.284924, 2459436.650511095766,  20.08958,   2.48097,              168.24839,  41.05138,       168.26913,       41.05781,     20.08958,      +2.48097,      20.07442,       +2.48533,  4085971.07,   834050.65,  4929570.64,      49.957038,       -1.488509,   91191.04,  137540.40,   16580.44,            16617.90,     3.24,  58804.81,           58364.50,    -31.01,    -26.20,          60.87,  -1.03,  -1.72
  8,     UK000H,       0,  0.325568, 2459436.650511566084,  19.86877,   1.78233,              168.65377,  40.38625,       168.64021,       40.38206,     19.86877,      +1.78233,      19.88090,       +1.77945,  4085287.82,   833322.59,  4927847.59,      49.952742,       -1.496604,   89347.07,  136583.92,   18571.88,            18609.34,  -398.45,  48997.07,           57839.68,     20.28,     17.16,          40.11,  -0.61,  -1.29
  0,     UK0038,       1,  0.009536, 2459436.650507901795,  31.19749,  -4.59986,              155.81284,  31.34161,       155.78823,       31.33252,     31.19749,      -4.59986,      31.22025,       -4.60325,  4091293.15,   839721.73,  4942992.04,      49.990403,       -1.425732,  105556.36,  198407.89,       0.00,             1105.98,   706.22,      0.00,           53190.23,     71.03,     35.28,          82.45,  +3.45,  +1.96
  1,     UK0038,       0,  0.049892, 2459436.650508368853,  31.15822,  -5.03992,              155.98858,  30.92621,       155.99589,       30.92891,     31.15822,      -5.03992,      31.15165,       -5.03891,  4090720.90,   839111.96,  4941548.94,      49.986824,       -1.432518,  104011.44,  197722.43,    1667.88,             2773.86,    -2.06,  41329.22,           53190.23,    -21.11,    -10.47,          24.58,  +0.98,  -0.50
  2,     UK0038,       0,  0.090352, 2459436.650508837309,  31.06100,  -5.62691,              156.27059,  30.38300,       156.27205,       30.38354,     31.06100,      -5.62691,      31.06000,       -5.62671,  4089954.92,   838295.74,  4939617.24,      49.982030,       -1.441548,  101943.66,  196824.81,    3900.46,             5006.44,  -151.77,  55179.94,           53190.23,     -4.24,     -2.10,           4.96,  +0.57,  -0.90
  3,     UK0038,       0,  0.130888, 2459436.650509306695,  30.96738,  -6.30021,              156.57011,  29.75466,       156.58338,       29.75955,     30.96738,      -6.30021,      30.95548,       -6.29836,  4089087.98,   837371.95,  4937430.97,      49.976600,       -1.451750,   99603.54,  195835.29,    6427.27,             7533.25,   -11.73,  62334.91,           53190.23,    -38.31,    -19.00,          45.04,  +0.29,  -1.17
  4,     UK0038,       0,  0.171432, 2459436.650509775616,  30.84795,  -6.99698,              156.90070,  29.10917,       156.90288,       29.10997,     30.84795,      -6.99698,      30.84661,       -6.99668,  4088195.64,   836421.10,  4935180.64,      49.971006,       -1.462252,   97195.00,  194845.99,    9028.11,            10134.10,   201.88,  64148.67,           56368.85,     -6.28,     -3.12,           7.43,  +0.30,  -1.15
  5,     UK0038,       0,  0.211916, 2459436.650510244537,  30.77200,  -7.60650,              157.15498,  28.53684,       157.17768,       28.54518,     30.77200,      -7.60650,      30.75131,       -7.60329,  4087427.68,   835602.78,  4933243.97,      49.966188,       -1.471317,   95122.23,  194017.94,   11266.43,            12372.42,    56.49,  55288.98,           57120.96,    -65.60,    -32.54,          77.85,  +0.19,  -1.25
  6,     UK0038,       0,  0.252388, 2459436.650510712992,  30.65667,  -8.21078,              157.44765,  27.97850,       157.44985,       27.97930,     30.65667,      -8.21078,      30.65563,       -8.21047,  4086665.39,   834790.50,  4931321.61,      49.961401,       -1.480321,   93064.85,  193218.20,   13488.22,            14594.21,  -104.72,  54896.99,           57151.19,     -6.33,     -3.14,           7.54,  +0.13,  -1.30
  7,     UK0038,       0,  0.292896, 2459436.650511181448,  30.54979,  -8.86367,              157.74092,  27.37024,       157.73932,       27.36965,     30.54979,      -8.86367,      30.55255,       -8.86390,  4085851.88,   833923.65,  4929270.07,      49.956289,       -1.489922,   90869.35,  192389.73,   15859.31,            16965.29,  -118.75,  58533.79,           57279.07,      4.63,      2.30,           5.55,  +0.07,  -1.35
  8,     UK0038,       0,  0.333332, 2459436.650511649437,  30.46631,  -9.41938,              157.97965,  26.85019,       157.98327,       26.85152,     30.46631,      -9.41938,      30.46420,       -9.41886,  4085166.36,   833193.17,  4927541.29,      49.951978,       -1.498043,   89019.27,  191711.00,   17857.36,            18963.34,  -501.57,  49412.70,           56815.05,    -10.47,     -5.20,          12.57,  +0.70,  -0.71

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.