Orbital Analysis for matched events on 20210813_225353.676_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.27° Bg 37.75° Vg 52.91km/s
mass 0.00384g, abs. mag 1.2
Path Details
------------
start -0.37° 51.09° 109.75km
end   -0.44° 51.03° 103.63km

Orbit Details
-------------
Semimajor axis 1.94A.U., eccentricity 0.55, inclination 108.41°, Period 2.70Y, LA Sun 141.10°, last Perihelion 2021-07-05

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: 2459440.454093483277
Time: 2021-08-13 22:53:53.676955 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002B
 Convergence angle = 7.60968 deg
 R.A. =  39.86419  Dec = +59.27052 deg
Intersection 2 - Stations: UK000F and UK002C
 Convergence angle = 10.32665 deg
 R.A. =  65.31755  Dec = +59.57003 deg
Intersection 3 - Stations: UK002B and UK002C
 Convergence angle = 17.82499 deg
 R.A. =  54.51374  Dec = +59.05941 deg

Best intersection: Stations UK002B and UK002C with Qconv = 17.82 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2382644.64 +/- 457.07 m
 Y =  -3316059.16 +/- 108.50 m
 Z =   5025233.03 +/- 528.80 m
 Vx =    16456.77 +/- 2889.71 m/s
 Vy =    22536.15 +/- 2082.09 m/s
 Vz =    46304.95 +/- 1750.18 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.518593e+05, +2.978210e+04, +1.794338e+05, +7.935116e+05, -1.804854e+05, +4.254983e+05
+2.978210e+04, +1.095675e+04, +4.378780e+04, +1.416465e+05, -3.484656e+04, +8.487918e+04
+1.794338e+05, +4.378780e+04, +2.471236e+05, +8.739084e+05, -2.839976e+05, +5.190631e+05
+7.935116e+05, +1.416465e+05, +8.739084e+05, +5.365340e+06, -1.474734e+06, +2.034034e+06
-1.804854e+05, -3.484656e+04, -2.839976e+05, -1.474734e+06, +1.049447e+06, -2.286248e+05
+4.254983e+05, +8.487918e+04, +5.190631e+05, +2.034034e+06, -2.286248e+05, +1.530211e+06

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK000F: 0.000253 s
    UK002B: 0.000000 s
    UK002C: 0.000046 s

Reference point on the trajectory:
  Time: 2021-08-13 22:53:53.676955 UTC
  Lon     = +-0.366215 +/- 0.0059 deg
  Lat     = +51.089207 +/- 0.0018 deg
  Lat geo = +50.904173 +/- 0.0019 deg
  Ht      =  109768.35 +/- 528.13 m

  JD dynamic   = 2459440.454894224182 
  LST apparent = 305.6978851524 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.86163 +/- 5.6039 deg
  Dec       = +58.92512 +/- 0.4499 deg
  Azimuth   =  36.48402 +/- 2.5659 deg
  Elevation = +34.42963 +/- 1.9068 deg
  Vavg      =  53.78866 +/- 1.9848 km/s
  Vinit     =  54.06341 +/- 1.7943 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  53.67296 +/- 5.6039 deg
  Dec       = +58.66887 +/- 0.4499 deg
  Azimuth   =  36.79040 +/- 2.5659 deg
  Elevation = +34.32345 +/- 1.9068 deg
  Vavg      =  53.93532 +/- 1.9848 km/s
  Vinit     =  54.21006 +/- 1.7943 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.32876 +/- 5.6114 deg
  Dec    = +58.40344 +/- 0.4372 deg
  Vg     =  52.91253 +/- 1.8350 km/s
  Vinf   =  54.06341 +/- 1.7943 km/s
  Zc     =  55.71922 +/- 1.9112 deg
  Zg     =  56.37083 +/- 1.9664 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.26992 +/- 3.5442 deg
  Bg     = +37.74778 +/- 0.8052 deg
  Vh     =  35.97087 +/- 1.3030 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  97.52432 +/- 8.7372 deg
  Bh     = +64.22698 +/- 2.4707 deg
  Vh_x   =   2.04806 +/- 2.6532 km/s
  Vh_y   = -15.50572 +/- 1.0995 km/s
  Vh_z   = -32.39262 +/- 1.4856 km/s
Orbit:
  La Sun = 141.104725 +/- nan deg
  a      =   1.939163 +/- 0.4464 AU
  e      =   0.551938 +/- 0.0642
  i      = 108.409973 +/- 2.2698 deg
  peri   = 126.850389 +/- 14.1899 deg
  node   = 141.103745 +/- 0.0002 deg
  Pi     = 267.954135 +/- 14.1897 deg
  q      =   0.868866 +/- 0.0747 AU
  f      =  53.145703 +/- 14.1899 deg
  M      =  14.232892 +/- 7.6907 deg
  Q      =   3.009460 +/- 0.8378 AU
  n      =   0.364992 +/- 0.1130 deg/day
  T      =   2.700363 +/- 1.0128 years
  Last perihelion JD = 2459401.459748 (2021-07-05 23:02:02.248515) +/- 7.5903 days
  Tj     =   2.362259 +/- 0.5922
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.915454e-03, +9.283435e-04, +2.257037e-01, -5.587352e-08, +5.344857e-03, +8.014085e-04
q   , +9.283435e-04, +4.414290e-03, +3.879956e-01, -1.263419e-07, +1.405794e-02, +1.802315e-03
Tp  , +2.257037e-01, +3.879956e-01, +4.235028e+01, -1.278811e-05, +1.369864e+00, +1.824543e-01
node, -5.587352e-08, -1.263419e-07, -1.278811e-05, +5.781975e-12, -4.332197e-07, -8.248256e-08
peri, +5.344857e-03, +1.405794e-02, +1.369864e+00, -4.332197e-07, +4.698568e-02, +6.182762e-03
i   , +8.014085e-04, +1.802315e-03, +1.824543e-01, -8.248256e-08, +6.182762e-03, +1.176868e-03

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: UK002B
  Avg. res. = 6.300e-06 s
  Stddev    = 2.51e-03 s

Begin point on the trajectory:
  Lon =    -0.366419 +/- 0.0056 deg
  Lat =    51.089034 +/- 0.0012 deg
  Ht  = 109751.60 +/- 496.22 m
End point on the trajectory:
  Lon =    -0.441792 +/- 0.0040 deg
  Lat =    51.025445 +/- 0.0006 deg
  Ht  = 103630.67 +/- 348.86 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, 8979.972433,   0.000000,   108078.85,   104383.57,          0.063182,       nan,       nan,              32.67, 0.0000,    True,    True, {"ff_name": "FF_UK0001_20210813_225353_233_0248064.fits"}
    UK000F,   False,    -1.306160,    51.883100,   80.00,  19.331288,   0.000000,   108698.00,   104888.19,          0.031562,     84.94,      8.64,              77.35, 0.9520,    True,    True, {"ff_name": "FF_UK000F_20210813_225345_673_0234752.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   109751.60,   103630.67,          0.033987,     72.83,     17.34,              30.06, 0.2508,    True,    True, {"ff_name": "FF_UK002B_20210813_225353_148_0251904.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   108907.34,   104256.80,          0.015243,     39.51,      3.20,              53.57, 0.6474,    True,    True, {"ff_name": "FF_UK002C_20210813_225344_914_0245248.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,  0.222393, 2459440.454096057452,   8.39936,  41.92790,               75.75894,  46.32583,        75.75007,       46.36797,      8.39936,     +41.92790,       8.35838,      +41.95690,  2381734.92, -3317304.95,  5022673.31,      51.071687,       -0.387709,  108078.85,  148177.18,       0.00,             2988.60, -9032.65,      0.00,           55112.54,     -9.78,   -109.68,         153.28,  +2.36,  +1.51
  1,     UK0001,       1,  0.262361, 2459440.454096519854,   7.99764,  41.59932,               76.39760,  46.38457,        76.38775,       46.43412,      7.99764,     +41.59932,       7.94954,      +41.63320,  2381093.63, -3318183.13,  5020868.91,      51.059329,       -0.402369,  106888.52,  146400.54,    2106.73,             5095.33, -9086.73,  52710.40,           55112.54,    -11.36,   -127.28,         180.04,  +2.05,  +1.22
  2,     UK0001,       1,  0.302337, 2459440.454096982721,   7.54963,  41.20224,               77.14888,  46.43217,        77.13519,       46.50647,      7.54963,     +41.20224,       7.47726,      +41.25267,  2380363.26, -3319183.32,  5018813.83,      51.045247,       -0.419040,  105533.38,  144389.17,    4506.15,             7494.74, -8848.55,  60021.41,           55112.54,    -16.90,   -187.98,         269.63,  +2.04,  +1.24
  3,     UK0001,       1,  0.342297, 2459440.454097445123,   7.14494,  40.86805,               77.80078,  46.48881,        77.78748,       46.56602,      7.14494,     +40.86805,       7.07000,      +40.92013,  2379743.31, -3320032.29,  5017069.46,      51.033287,       -0.433213,  104383.57,  142690.26,    6542.79,             9531.39, -8972.29,  50967.00,           55112.54,    -17.33,   -192.85,         279.89,  +2.55,  +1.78
  0,     UK000F,       0,  0.038470, 2459440.454093925655, 330.33336,  10.67013,              143.96245,  43.85457,       143.92709,       43.82024,    330.33336,     +10.67013,     330.37055,      +10.64767,  2382068.28, -3316848.43,  5023611.32,      51.078109,       -0.379404,  108698.00,  155468.43,       0.00,             1893.43,  -184.35,      0.00,           55581.30,    -11.80,    115.44,         153.96,  +3.11,  +2.15
  1,     UK000F,       0,  0.078942, 2459440.454094394110, 329.88333,   9.92506,              144.90699,  43.32244,       144.88590,       43.30227,    329.88333,      +9.92506,     329.90557,       +9.91178,  2381339.19, -3317846.87,  5021559.84,      51.064062,       -0.396052,  107344.51,  154964.41,    2395.21,             4288.64,    22.80,  59181.86,           55581.30,     -6.96,     68.19,          91.24,  +2.61,  +1.66
  2,     UK000F,       0,  0.119422, 2459440.454094862565, 329.49560,   9.19845,              145.75000,  42.77960,       145.77749,       42.80553,    329.49560,      +9.19845,     329.46773,       +9.21562,  2380654.21, -3318784.88,  5019632.50,      51.050858,       -0.411700,  106073.47,  154523.07,    4645.47,             6538.91,    84.58,  55589.55,           55581.30,      8.91,    -88.16,         118.28,  +2.38,  +1.44
  3,     UK000F,       0,  0.159822, 2459440.454095330089, 329.07570,   8.55139,              146.58350,  42.31726,       146.60101,       42.33357,    329.07570,      +8.55139,     329.05840,       +8.56226,  2380015.21, -3319659.94,  5017834.52,      51.038533,       -0.426307,  104888.19,  154139.67,    6744.70,             8638.14,    -0.35,  51961.16,           55581.30,      5.65,    -55.75,          74.98,  +2.46,  +1.52
  0,     UK002B,       0,  0.000000, 2459440.454093483277,   2.63396,  51.17023,               66.21468,  54.50092,        66.21490,       54.50071,      2.63396,     +51.17023,       2.63420,      +51.17003,  2382635.62, -3316071.51,  5025207.65,      51.089034,       -0.366419,  109751.60,  134207.33,       0.00,               29.63,    31.68,      0.00,           53239.21,     -0.14,      0.57,           0.91,  +4.46,  +3.82
  1,     UK002B,       0,  0.039816, 2459440.454093944281,   2.06875,  50.88848,               66.90121,  54.71925,        66.87720,       54.74204,      2.06875,     +50.88848,       2.04417,      +50.91010,  2381990.23, -3316955.32,  5023391.69,      51.076606,       -0.381175,  108553.07,  132360.87,    2120.23,             2149.86,    -0.69,  53250.64,           53239.21,     14.29,    -59.93,          96.01,  +2.10,  +1.49
  2,     UK002B,       0,  0.079584, 2459440.454094404355,   1.41634,  50.61852,               67.61247,  54.99425,        67.60644,       55.00005,      1.41634,     +50.61852,       1.41037,      +50.62396,  2381308.31, -3317889.15,  5021472.95,      51.063467,       -0.396754,  107287.20,  130419.50,    4360.46,             4390.09,    89.55,  56332.51,           53239.21,      3.58,    -14.95,          24.32,  +1.67,  +1.09
  3,     UK002B,       0,  0.119384, 2459440.454094864894,   0.85408,  50.35904,               68.27449,  55.22203,        68.26812,       55.22826,      0.85408,     +50.35904,       0.84782,      +50.36482,  2380713.37, -3318703.86,  5019798.96,      51.051998,       -0.410364,  106183.22,  128733.05,    6314.92,             6344.55,  -107.71,  49107.10,           53239.21,      3.78,    -15.77,          25.99,  +1.62,  +1.07
  4,     UK002B,       0,  0.159180, 2459440.454095325433,   0.23682,  50.02465,               69.08842,  55.45376,        69.05217,       55.49004,      0.23682,     +50.02465,       0.19821,      +50.05784,  2380036.63, -3319630.60,  5017894.80,      51.038946,       -0.425821,  104927.92,  126825.14,    8538.13,             8567.76,   -36.01,  55865.09,           53454.21,     21.41,    -89.76,         150.08,  +1.71,  +1.19
  5,     UK002B,       0,  0.198956, 2459440.454095785972, 359.57699,  49.67424,               69.95606,  55.70529,        69.89942,       55.76332,    359.57699,     +49.67424,     359.51511,      +49.72657,  2379336.99, -3320588.70,  5015926.20,      51.025445,       -0.441792,  103630.67,  124864.03,   10836.58,            10866.21,   112.01,  57784.77,           54134.02,     33.38,   -140.38,         238.36,  +3.33,  +2.85
  0,     UK002C,       0,  0.025232, 2459440.454093774781, 352.51009,  25.76828,              106.33049,  45.56557,       106.32776,       45.55788,    352.51009,     +25.76828,     352.51746,      +25.76381,  2382181.02, -3316694.05,  5023928.53,      51.080280,       -0.376801,  108907.34,  151147.73,       0.00,             1523.07,   160.96,      0.00,           55618.91,      1.69,     20.84,          28.53,  +3.87,  +2.97
  1,     UK002C,       0,  0.065312, 2459440.454094238579, 352.13888,  25.30818,              107.12349,  45.44310,       107.11538,       45.42113,    352.13888,     +25.30818,     352.15992,      +25.29543,  2381617.31, -3317465.99,  5022342.41,      51.069421,       -0.389710,  107860.76,  150045.04,    1851.87,             3374.94,  -154.02,  46204.42,           55618.91,      4.77,     59.22,          81.68,  +2.20,  +1.32
  2,     UK002C,       0,  0.105460, 2459440.454094703309, 351.73121,  24.70045,              108.08765,  45.22754,       108.09326,       45.24205,    351.73121,     +24.70045,     351.71792,      +24.70886,  2380924.54, -3318414.69,  5020393.12,      51.056070,       -0.405534,  106575.02,  148712.20,    4127.77,             5650.84,   -48.66,  56687.67,           55618.91,     -3.16,    -38.91,          54.14,  +1.97,  +1.11
  3,     UK002C,       0,  0.145604, 2459440.454095168039, 351.23480,  24.02620,              109.19558,  45.00868,       109.20295,       45.02683,    351.23480,     +24.02620,     351.21822,      +24.03669,  2380147.50, -3319478.77,  5018206.76,      51.041085,       -0.423259,  105133.55,  147245.92,    6680.46,             8203.53,   333.71,  63588.39,           55618.91,     -3.93,    -48.36,          67.97,  +2.43,  +1.59
  4,     UK002C,       0,  0.185672, 2459440.454095631838, 350.91097,  23.62019,              109.88511,  44.88846,       109.88561,       44.88966,    350.91097,     +23.62019,     350.91060,      +23.62088,  2379674.72, -3320126.21,  5016876.47,      51.031963,       -0.434108,  104256.80,  146365.41,    8233.64,             9756.71,  -279.33,  38763.55,           53085.44,     -0.26,     -3.19,           4.51,  +5.46,  +4.63

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.