Orbital Analysis for matched events on 20210813_013436.958_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.91° Bg 38.01° Vg 57.68km/s
mass 0.01161g, abs. mag 0.7
Path Details
------------
start -2.89° 53.50° 108.46km
end   -3.03° 53.44° 93.14km

Orbit Details
-------------
Semimajor axis 5.43A.U., eccentricity 0.83, inclination 112.56°, Period 12.66Y, LA Sun 140.25°, last Perihelion 2021-07-19

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: 2459439.565705541521
Time: 2021-08-13 01:34:36.958787 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK002Z
 Convergence angle = 14.99381 deg
 R.A. =  49.04822  Dec = +58.11245 deg

Best intersection: Stations UK000Y and UK002Z with Qconv = 14.99 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3687680.77 +/- 20.80 m
 Y =  -1164169.09 +/- 120.47 m
 Z =   5190708.92 +/- 155.77 m
 Vx =    20303.62 +/- 192.17 m/s
 Vy =    23547.84 +/- 795.33 m/s
 Vz =    49828.34 +/- 588.05 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.559238e+02, -1.387000e+03, +2.101233e+03, +6.879978e+02, -7.252348e+03, +6.847118e+03
-1.387000e+03, +1.439281e+04, -1.823260e+04, -1.633417e+02, +6.233166e+04, -6.194812e+04
+2.101233e+03, -1.823260e+04, +2.432048e+04, -3.425592e+01, -7.969204e+04, +7.898856e+04
+6.879978e+02, -1.633417e+02, -3.425592e+01, +5.017800e+03, +1.456538e+02, +3.804787e+03
-7.252348e+03, +6.233166e+04, -7.969204e+04, +1.456538e+02, +3.309609e+05, -3.087192e+05
+6.847118e+03, -6.194812e+04, +7.898856e+04, +3.804787e+03, -3.087192e+05, +3.083383e+05

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK002Z: -0.000158 s

Reference point on the trajectory:
  Time: 2021-08-13 01:34:36.958787 UTC
  Lon     = +-2.889278 +/- 0.0017 deg
  Lat     = +53.495021 +/- 0.0005 deg
  Lat geo = +53.313902 +/- 0.0005 deg
  Ht      =  108432.99 +/- 153.92 m

  JD dynamic   = 2459439.566506282426 
  LST apparent = 342.4795417105 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.23115 +/- 0.7116 deg
  Dec       = +58.03623 +/- 0.6692 deg
  Azimuth   =  55.30493 +/- 0.7913 deg
  Elevation = +53.73034 +/- 0.6075 deg
  Vavg      =  58.49282 +/- 0.1768 km/s
  Vinit     =  58.73331 +/- 0.2612 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.43456 +/- 0.7116 deg
  Dec       = +57.82214 +/- 0.6692 deg
  Azimuth   =  55.56786 +/- 0.7913 deg
  Elevation = +53.54812 +/- 0.6075 deg
  Vavg      =  58.63050 +/- 0.1768 km/s
  Vinit     =  58.87098 +/- 0.2612 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.40432 +/- 0.7130 deg
  Dec    = +57.82737 +/- 0.6783 deg
  Vg     =  57.67533 +/- 0.2660 km/s
  Vinf   =  58.73331 +/- 0.2612 km/s
  Zc     =  36.37302 +/- 0.6055 deg
  Zg     =  36.71516 +/- 0.6144 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.91160 +/- 0.1902 deg
  Bg     = +38.00951 +/- 0.7640 deg
  Vh     =  39.84704 +/- 0.5360 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.47840 +/- 0.2336 deg
  Bh     = +63.03957 +/- 0.9034 deg
  Vh_x   =  -1.42420 +/- 0.0721 km/s
  Vh_y   = -18.00943 +/- 0.3241 km/s
  Vh_z   = -35.51645 +/- 0.7560 km/s
Orbit:
  La Sun = 140.251590 +/- 0.0000 deg
  a      =   5.431790 +/- 1.2957 AU
  e      =   0.827556 +/- 0.0431
  i      = 112.563228 +/- 0.7774 deg
  peri   = 146.422883 +/- 2.2213 deg
  node   = 140.251330 +/- 0.0001 deg
  Pi     = 286.674213 +/- 2.2214 deg
  q      =   0.936680 +/- 0.0076 AU
  f      =  33.573378 +/- 2.2213 deg
  M      =   1.875682 +/- 0.9729 deg
  Q      =   9.926901 +/- 2.5842 AU
  n      =   0.077856 +/- 0.0321 deg/day
  T      =  12.659459 +/- 4.5933 years
  Last perihelion JD = 2459415.474683 (2021-07-19 23:23:32.601806) +/- 1.7301 days
  Tj     =   0.517988 +/- 0.2424
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.765192e-03, +3.050396e-04, +7.020675e-02, +3.680410e-08, +1.567882e-03, -5.189203e-04
q   , +3.050396e-04, +5.438736e-05, +1.236391e-02, +6.626911e-09, +2.774231e-04, -9.339071e-05
Tp  , +7.020675e-02, +1.236391e-02, +2.825027e+00, +1.501193e-06, +6.326405e-02, -2.115795e-02
node, +3.680410e-08, +6.626911e-09, +1.501193e-06, +8.549680e-13, +3.372813e-08, -1.203955e-08
peri, +1.567882e-03, +2.774231e-04, +6.326405e-02, +3.372813e-08, +1.417820e-03, -4.753520e-04
i   , -5.189203e-04, -9.339071e-05, -2.115795e-02, -1.203955e-08, -4.753520e-04, +1.695475e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000000
 a2 = 121.146555

Mean time residuals from time vs. length:
  Station with reference time: UK000Y
  Avg. res. = 2.901e-06 s
  Stddev    = 1.70e-03 s

Begin point on the trajectory:
  Lon =    -2.889072 +/- 0.0016 deg
  Lat =    53.495106 +/- 0.0005 deg
  Ht  = 108456.02 +/- 156.86 m
End point on the trajectory:
  Lon =    -3.027527 +/- 0.0012 deg
  Lat =    53.438353 +/- 0.0003 deg
  Ht  = 93142.13 +/- 88.07 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,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   108456.02,    93142.13,          0.009461,      5.84,     22.01,              62.63, 1.0000,    True,    True, {"ff_name": "FF_UK000Y_20210813_013429_435_0472576.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.001229,  31.831881,   106634.51,    93326.70,          0.009540,     16.45,     28.90,              88.83, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_013433_935_0477952.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,       0,  0.000000, 2459439.565705541521, 271.90313,  54.70998,              302.21264,  49.58052,       302.20644,       49.58362,    271.90313,     +54.70998,     271.91117,      +54.70792,  3687690.65, -1164157.63,  5190733.15,      53.495106,       -2.889072,  108456.02,  141303.80,       0.00,               28.57,   -48.23,      0.00,           59359.43,    -12.11,      3.21,          18.29,  +2.95,  +2.20
  1,     UK000Y,       0,  0.040392, 2459439.565706009045, 271.30192,  53.85912,              301.33263,  48.86164,       301.35151,       48.85226,    271.30192,     +53.85912,     271.27788,      +53.86531,  3686814.21, -1165174.11,  5188582.24,      53.487560,       -2.907514,  106412.08,  140142.50,    2535.31,             2506.75,    57.59,  62767.69,           59359.43,     36.79,     -9.77,          56.03,  +1.29,  +0.56
  2,     UK000Y,       0,  0.080784, 2459439.565706476569, 270.71010,  53.08137,              300.58242,  48.16736,       300.58052,       48.16829,    270.71010,     +53.08137,     270.71285,      +53.08076,  3686014.06, -1166102.11,  5186618.54,      53.480664,       -2.924370,  104546.32,  139114.90,    4849.95,             4821.39,    -0.13,  57304.39,           59359.43,     -3.69,      0.98,           5.65,  +0.75,  +0.03
  3,     UK000Y,       0,  0.121184, 2459439.565706944093, 270.14687,  52.26238,              299.80034,  47.45216,       299.80067,       47.45199,    270.14687,     +52.26238,     270.14695,      +52.26249,  3685194.38, -1167052.77,  5184606.91,      53.473593,       -2.941638,  102635.31,  138094.54,    7221.09,             7192.52,    -1.82,  58691.45,           59359.43,      0.65,     -0.17,           1.01,  +0.40,  -0.30
  4,     UK000Y,       0,  0.161576, 2459439.565707411617, 269.62943,  51.43279,              299.01705,  46.74077,       299.04060,       46.72933,    269.62943,     +51.43279,     269.60070,      +51.44024,  3684385.14, -1167991.31,  5182620.91,      53.466606,       -2.958692,  100748.93,  137120.22,    9562.01,             9533.44,   -33.25,  57955.09,           58943.28,     45.77,    -12.15,          71.23,  +0.41,  -0.28
  5,     UK000Y,       0,  0.202032, 2459439.565707880072, 269.02419,  50.55791,              298.25623,  45.94412,       298.24738,       45.94839,    269.02419,     +50.55791,     269.03599,      +50.55515,  3683528.93, -1168984.33,  5180519.63,      53.459206,       -2.976732,   98753.36,  136125.40,   12038.81,            12010.24,    67.44,  61222.13,           59150.44,    -17.21,      4.56,          26.97,  +0.46,  -0.21
  6,     UK000Y,       0,  0.242428, 2459439.565708347596, 268.54334,  49.73180,              297.52438,  45.22642,       297.53391,       45.22185,    268.54334,     +49.73180,     268.53264,      +49.73475,  3682748.63, -1169889.31,  5178604.65,      53.452456,       -2.993190,   96934.99,  135252.69,   14296.02,            14267.45,   -47.94,  55877.03,           58873.70,     18.53,     -4.92,          29.24,  +0.56,  -0.10
  7,     UK000Y,       0,  0.282884, 2459439.565708815586, 268.00373,  48.82846,              296.76477,  44.42041,       296.77013,       44.41785,    268.00373,     +48.82846,     267.99838,      +48.83010,  3681901.48, -1170871.82,  5176525.62,      53.445120,       -3.011049,   94961.14,  134341.33,   16746.60,            16718.03,    26.52,  60573.92,           58900.29,     10.43,     -2.77,          16.57,  +1.41,  +0.77
  8,     UK000Y,       0,  0.323316, 2459439.565709283575, 267.51460,  47.98333,              296.07623,  43.66230,       296.07566,       43.66257,    267.51460,     +47.98333,     267.51664,      +47.98316,  3681120.68, -1171777.38,  5174609.40,      53.438353,       -3.027527,   93142.13,  133536.40,   19005.28,            18976.71,   -89.51,  55863.61,           58710.11,     -1.11,      0.29,           1.78,  +1.29,  +0.66
  0,     UK002Z,       0,  0.035181, 2459439.565705950372, 275.64020,  24.37299,              269.11619,  31.52259,       269.13239,       31.51805,    275.64020,     +24.37299,     275.62561,      +24.37857,  3686909.59, -1165063.48,  5188816.33,      53.488381,       -2.905504,  106634.51,  199662.50,       0.00,             2230.82,    87.71,      0.00,           55995.68,     44.01,    -25.06,          52.32,  +3.77,  +2.27
  1,     UK002Z,       0,  0.075745, 2459439.565706420224, 275.33459,  23.72815,              268.87342,  30.85134,       268.87788,       30.85009,    275.33459,     +23.72815,     275.33084,      +23.72969,  3686065.21, -1166042.78,  5186744.09,      53.481105,       -2.923283,  104665.60,  199644.02,    2442.58,             4673.40,   147.83,  60215.47,           55995.68,     12.20,     -6.94,          14.50,  +2.23,  +0.73
  2,     UK002Z,       0,  0.116229, 2459439.565706888679, 275.06852,  23.18269,              268.67911,  30.27766,       268.66440,       30.28178,    275.06852,     +23.18269,     275.08244,      +23.17762,  3685347.64, -1166875.01,  5184983.05,      53.474915,       -2.938421,  102992.61,  199653.34,    4518.34,             6749.16,  -154.17,  51273.57,           55995.68,    -40.45,     23.01,          48.07,  +1.87,  +0.37
  3,     UK002Z,       0,  0.156769, 2459439.565707357600, 274.78944,  22.55651,              268.43994,  29.63323,       268.42532,       29.63732,    274.78944,     +22.55651,     274.80348,      +22.55146,  3684533.98, -1167818.68,  5182986.20,      53.467891,       -2.955567,  101095.87,  199688.84,    6872.05,             9102.86,  -181.51,  58058.88,           55995.68,    -40.44,     23.00,          48.05,  +1.47,  -0.03
  4,     UK002Z,       0,  0.197385, 2459439.565707827918, 274.48950,  21.82668,              268.14740,  28.89523,       268.15325,       28.89359,    274.48950,     +21.82668,     274.48496,      +21.82870,  3683594.83, -1168907.90,  5180681.37,      53.459776,       -2.975337,   98906.95,  199762.96,    9588.78,            11819.60,   149.71,  66888.36,           58228.17,     16.29,     -9.27,          19.35,  +1.54,  +0.04
  5,     UK002Z,       0,  0.237881, 2459439.565708296373, 274.22878,  21.25203,              267.94205,  28.29813,       267.93885,       28.29902,    274.22878,     +21.25203,     274.23271,      +21.25092,  3682844.31, -1169778.34,  5178839.47,      53.453284,       -2.991174,   97157.94,  199850.76,   11759.86,            13990.68,   -57.68,  53612.06,           58206.48,     -8.96,      5.10,          10.64,  +1.36,  -0.14
  6,     UK002Z,       0,  0.278449, 2459439.565708766226, 273.93555,  20.58942,              267.70446,  27.61254,       267.69520,       27.61512,    273.93555,     +20.58942,     273.94524,      +20.58621,  3681980.31, -1170780.39,  5176719.07,      53.445803,       -3.009385,   95144.79,  199979.66,   14259.19,            16490.01,    58.96,  61608.50,           58563.49,    -26.08,     14.83,          30.95,  +1.54,  +0.04
  7,     UK002Z,       0,  0.318957, 2459439.565709235147, 273.69228,  19.98400,              267.47193,  26.99943,       267.47806,       26.99773,    273.69228,     +19.98400,     273.68797,      +19.98613,  3681199.91, -1171685.49,  5174803.85,      53.439040,       -3.025854,   93326.70,  200123.90,   16516.70,            18747.51,   -62.70,  55729.83,           58476.28,     17.35,     -9.87,          20.58,  +2.16,  +0.65
  8,     UK002Z,       1,  0.359501, 2459439.565709704068, 273.37088,  19.38613,              267.31291,  26.34457,       267.25645,       26.36032,    273.37088,     +19.38613,     273.42457,      +19.36653,  3680393.29, -1172620.99,  5172824.29,      53.432044,       -3.042875,   91447.82,  200299.40,   18850.03,            21080.85,  -110.65,  57550.63,           58373.87,   -161.08,     91.46,         190.75,  +5.26,  +3.75

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.