Orbital Analysis for matched events on 20210813_234637.390_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 70.99° Bg 36.46° Vg 60.18km/s
mass 0.03092g, abs. mag -0.9
Path Details
------------
start -2.59° 49.23° 107.85km
end   -2.70° 49.14° 98.69km

Orbit Details
-------------
Semimajor axis -18.83A.U., eccentricity 1.05, inclination 114.27°, Period 1000000000.00Y, LA Sun 141.14°, 

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: 2459440.490710536484
Time: 2021-08-13 23:46:37.390352 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK0038
 Convergence angle = 8.02356 deg
 R.A. =  53.28082  Dec = +58.87630 deg

Best intersection: Stations UK002D and UK0038 with Qconv = 8.02 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3087762.25 +/- 428.57 m
 Y =  -2910375.11 +/- 502.72 m
 Z =   4889303.82 +/- 154.64 m
 Vx =    16000.51 +/- 2945.03 m/s
 Vy =    27848.51 +/- 3027.22 m/s
 Vz =    52087.14 +/- 1171.83 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.643009e+05, -1.892014e+05, -5.737232e+04, +6.144022e+05, -7.503821e+05, -2.778202e+05
-1.892014e+05, +2.231842e+05, +6.775150e+04, -7.219716e+05, +9.001420e+05, +3.242682e+05
-5.737232e+04, +6.775150e+04, +2.307668e+04, -2.131042e+05, +2.533620e+05, +9.687839e+04
+6.144022e+05, -7.219716e+05, -2.131042e+05, +3.179744e+06, -3.994009e+06, -1.510610e+06
-7.503821e+05, +9.001420e+05, +2.533620e+05, -3.994009e+06, +5.172209e+06, +1.879990e+06
-2.778202e+05, +3.242682e+05, +9.687839e+04, -1.510610e+06, +1.879990e+06, +7.261123e+05

Timing offsets (from input data):
    UK002D: -0.000288 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:46:37.390352 UTC
  Lon     = +-2.588376 +/- 0.0011 deg
  Lat     = +49.234197 +/- 0.0052 deg
  Lat geo = +49.046950 +/- 0.0052 deg
  Ht      =  107818.55 +/- 319.71 m

  JD dynamic   = 2459440.491511277389 
  LST apparent = 316.6939547055 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  60.12024 +/- 6.6301 deg
  Dec       = +58.34129 +/- 0.4596 deg
  Azimuth   =  38.22771 +/- 2.5018 deg
  Elevation = +34.40934 +/- 2.9159 deg
  Vavg      =  60.55575 +/- 1.0486 km/s
  Vinit     =  61.19335 +/- 1.0780 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  59.99326 +/- 6.6301 deg
  Dec       = +58.10199 +/- 0.4596 deg
  Azimuth   =  38.50252 +/- 2.5018 deg
  Elevation = +34.30799 +/- 2.9159 deg
  Vavg      =  60.71429 +/- 1.0486 km/s
  Vinit     =  61.35189 +/- 1.0780 km/s
Radiant (geocentric, J2000):
  R.A.   =  60.41315 +/- 6.6103 deg
  Dec    = +57.95782 +/- 0.4507 deg
  Vg     =  60.17879 +/- 1.0979 km/s
  Vinf   =  61.19335 +/- 1.0780 km/s
  Zc     =  55.73783 +/- 2.9214 deg
  Zg     =  56.24434 +/- 2.9363 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  70.99289 +/- 4.2656 deg
  Bg     = +36.45645 +/- 1.1719 deg
  Vh     =  42.40883 +/- 0.8480 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  96.13321 +/- 10.3381 deg
  Bh     = +57.47976 +/- 3.2827 deg
  Vh_x   =   2.43584 +/- 2.1078 km/s
  Vh_y   = -22.66838 +/- 2.9413 km/s
  Vh_z   = -35.75920 +/- 0.2715 km/s
Orbit:
  La Sun = 141.139893 +/- 0.0000 deg
  a      = -18.827758 +/- 104.1652 AU
  e      =   1.046206 +/- 0.0775
  i      = 114.269268 +/- 1.4740 deg
  peri   = 136.359870 +/- 9.7388 deg
  node   = 141.138784 +/- 0.0001 deg
  Pi     = 277.498654 +/- 9.7389 deg
  q      =   0.869960 +/- 0.0314 AU
  f      =  43.636182 +/- 9.7388 deg
  M      =        nan +/- nan deg
  Q      = -38.525475 +/- 208.3169 AU
  n      =   0.012064 +/- 0.0398 deg/day
  T      = 1000000000.000000 +/- 253395487.4659 years
  Last perihelion JD = NaN 
  Tj     =  -0.757191 +/- 0.4283
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.049887e-03, -1.202418e-03, +7.549337e+00, -7.010179e-08, -7.761249e-03, +9.882832e-04
q   , -1.202418e-03, +4.993501e-04, -2.895493e+00, +3.065428e-08, +3.187569e-03, -4.319614e-04
Tp  , +7.549337e+00, -2.895493e+00, +1.638906e+05, -2.437770e-04, -3.016772e+01, +3.468393e+00
node, -7.010179e-08, +3.065428e-08, -2.437770e-04, +2.192098e-12, +2.117155e-07, -3.093019e-08
peri, -7.761249e-03, +3.187569e-03, -3.016772e+01, +2.117155e-07, +2.266909e-02, -2.990949e-03
i   , +9.882832e-04, -4.319614e-04, +3.468393e+00, -3.093019e-08, -2.990949e-03, +4.364499e-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: UK0038
  Avg. res. = 1.158e-05 s
  Stddev    = 3.40e-03 s

Begin point on the trajectory:
  Lon =    -2.587960 +/- 0.0012 deg
  Lat =    49.234543 +/- 0.0053 deg
  Ht  = 107852.64 +/- 310.32 m
End point on the trajectory:
  Lon =    -2.701007 +/- 0.0014 deg
  Lat =    49.141262 +/- 0.0044 deg
  Ht  = 98685.44 +/- 191.05 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
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   107122.41,    98685.44,          0.014103,     65.43,     12.13,             107.16, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_234629_391_0324352.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   107852.64,   101106.89,          0.022881,    104.90,      4.23,             102.95, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210813_234631_219_0321536.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,     UK002D,       0,  0.023652, 2459440.490710812155, 304.31356, -15.18142,              193.76370,  22.48053,       193.78582,       22.48918,    304.31356,     -15.18142,     304.29402,      -15.16972,  3087440.12, -2910935.78,  4888255.17,      49.227136,       -2.596968,  107122.41,  267405.07,       0.00,             1231.98,   116.02,      0.00,           58950.62,     18.87,   -101.84,          79.89,  +2.87,  +0.73
  1,     UK002D,       0,  0.063996, 2459440.490711279213, 304.03259, -15.57511,              193.98681,  22.04953,       193.98883,       22.05032,    304.03259,     -15.57511,     304.03097,      -15.57404,  3086789.18, -2912068.73,  4886136.12,      49.212861,       -2.614295,  105716.18,  268520.87,    2489.51,             3721.50,   136.75,  61707.14,           58950.62,      1.74,     -9.37,           7.32,  +1.97,  -0.17
  2,     UK002D,       0,  0.104296, 2459440.490711745340, 303.79622, -15.92283,              194.16972,  21.67027,       194.16475,       21.66833,    303.79622,     -15.92283,     303.80099,      -15.92548,  3086218.45, -2913062.06,  4884278.22,      49.200338,       -2.629506,  104483.76,  269514.69,    4672.23,             5904.21,  -146.63,  54161.63,           58950.62,     -4.31,     23.19,          18.05,  +1.62,  -0.53
  3,     UK002D,       0,  0.144652, 2459440.490712212399, 303.53538, -16.32818,              194.36569,  21.23000,       194.36506,       21.22976,    303.53538,     -16.32818,     303.53645,      -16.32852,  3085558.21, -2914211.20,  4882128.90,      49.185843,       -2.647074,  103058.65,  270681.50,    7197.30,             8429.28,   -91.07,  62570.00,           58950.62,     -0.55,      2.96,           2.29,  +1.45,  -0.71
  4,     UK002D,       0,  0.185024, 2459440.490712679923, 303.28908, -16.75622,              194.54067,  20.76927,       194.56891,       20.78030,    303.28908,     -16.75622,     303.26444,      -16.74101,  3084875.94, -2915398.68,  4879907.88,      49.170854,       -2.665220,  101586.69,  271906.63,    9806.62,            11038.60,    47.75,  64631.90,           60290.64,     24.75,   -133.54,         103.03,  +1.60,  -0.57
  5,     UK002D,       0,  0.225344, 2459440.490713146515, 303.00100, -17.12752,              194.76547,  20.35755,       194.76045,       20.35560,    303.00100,     -17.12752,     303.00635,      -17.13024,  3084225.85, -2916530.14,  4877791.61,      49.156563,       -2.682515,  100184.80,  273092.30,   12292.87,            13524.85,    66.68,  61662.91,           60869.17,     -4.44,     23.86,          18.33,  +1.71,  -0.47
  6,     UK002D,       0,  0.265708, 2459440.490713613573, 302.73510, -17.54530,              194.95730,  19.90311,       194.96222,       19.90503,    302.73510,     -17.54530,     302.73167,      -17.54262,  3083530.23, -2917740.85,  4875527.13,      49.141262,       -2.701007,   98685.44,  274380.19,   14953.24,            16185.23,   257.05,  65909.59,           61616.18,      4.39,    -23.61,          18.05,  +3.05,  +0.86
  0,     UK0038,       0,  0.000000, 2459440.490710536484, 313.35684, -15.36131,              183.72089,  23.20545,       183.67718,       23.18191,    313.35684,     -15.36131,     313.39735,      -15.38651,  3087778.03, -2910347.66,  4889355.16,      49.234543,       -2.587960,  107852.64,  262166.59,       0.00,               60.32,   391.68,      0.00,           61283.35,     -8.62,    212.88,         167.63,  +3.73,  +1.64
  1,     UK0038,       0,  0.040260, 2459440.490711002611, 313.13914, -15.73174,              183.93115,  22.82629,       183.91264,       22.81633,    313.13914,     -15.73174,     313.15645,      -15.74245,  3087230.58, -2911300.47,  4887573.05,      49.222542,       -2.602560,  106669.68,  262952.22,    2093.67,             2033.35,   -98.93,  52003.66,           61283.35,     -3.63,     90.57,          71.10,  +2.66,  +0.56
  2,     UK0038,       0,  0.080564, 2459440.490711468738, 312.86479, -16.17217,              184.19462,  22.37419,       184.19476,       22.37427,    312.86479,     -16.17217,     312.86489,      -16.17208,  3086564.85, -2912459.17,  4885405.85,      49.207940,       -2.620276,  105231.70,  263926.79,    4639.75,             4579.44,   -19.18,  63172.08,           61283.35,      0.03,     -0.70,           0.54,  +1.30,  -0.81
  3,     UK0038,       0,  0.120864, 2459440.490711935330, 312.53578, -16.62078,              184.51104,  21.91054,       184.49402,       21.90140,    312.53578,     -16.62078,     312.55216,      -16.63071,  3085847.96, -2913706.89,  4883072.14,      49.192205,       -2.639338,  103684.00,  264999.65,    7381.46,             7321.14,   256.43,  68032.38,           61283.35,     -3.38,     84.31,          65.68,  +1.42,  -0.70
  4,     UK0038,       0,  0.161132, 2459440.490712401457, 312.30923, -17.00743,              184.72229,  21.51303,       184.73448,       21.51959,    312.30923,     -17.00743,     312.29833,      -17.00028,  3085265.44, -2914720.76,  4881175.84,      49.179412,       -2.654857,  102426.94,  265889.30,    9609.28,             9548.97,    20.12,  55324.95,           60830.22,      2.40,    -60.75,          47.17,  +1.32,  -0.80
  5,     UK0038,       0,  0.201392, 2459440.490712867584, 312.03961, -17.39035,              184.97564,  21.11647,       184.98387,       21.12088,    312.03961,     -17.39035,     312.03258,      -17.38550,  3084653.48, -2915785.86,  4879183.70,      49.165965,       -2.671149,  101106.89,  266840.81,   11949.70,            11889.38,  -103.11,  58132.53,           60315.62,      1.63,    -41.22,          31.89,  +1.44,  -0.69

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.