Orbital Analysis for matched events on 20210810_013812.324_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 60.12° Bg 38.27° Vg 59.77km/s
mass 0.03440g, abs. mag -0.9
Path Details
------------
start 1.19° 51.71° 105.59km
end   1.11° 51.67° 95.72km

Orbit Details
-------------
Semimajor axis 90.25A.U., eccentricity 0.99, inclination 113.87°, Period 857.31Y, LA Sun 137.37°, last Perihelion 2021-07-21

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: 2459436.568198201712
Time: 2021-08-10 01:38:12.324628 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002K
 Convergence angle = 79.61412 deg
 R.A. =  44.15223  Dec = +56.95987 deg

Best intersection: Stations UK002B and UK002K with Qconv = 79.61 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3879791.70 +/- 28.74 m
 Y =  -1075450.11 +/- 49.30 m
 Z =   5065647.70 +/- 52.64 m
 Vx =    23718.20 +/- 691.46 m/s
 Vy =    22841.78 +/- 793.22 m/s
 Vz =    51106.88 +/- 1222.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.159811e+02, +4.840879e+02, +4.759925e+02, +3.133409e+03, +2.422421e+03, +3.346792e+03
+4.840879e+02, +2.130729e+03, +1.419434e+03, -5.294231e+03, +9.688378e+03, -7.089655e+03
+4.759925e+02, +1.419434e+03, +1.669487e+03, -3.590686e+03, +5.432519e+03, +6.673579e+02
+3.133409e+03, -5.294231e+03, -3.590686e+03, +1.960201e+05, +9.474389e+04, +3.162549e+05
+2.422421e+03, +9.688378e+03, +5.432519e+03, +9.474389e+04, +1.825159e+05, +2.131249e+05
+3.346792e+03, -7.089655e+03, +6.673579e+02, +3.162549e+05, +2.131249e+05, +6.313815e+05

Timing offsets (from input data):
    UK002B: 0.000000 s
    UK002F: 0.000000 s
    UK002K: 0.000320 s

Reference point on the trajectory:
  Time: 2021-08-10 01:38:12.324628 UTC
  Lon     = ++1.195244 +/- 0.0007 deg
  Lat     = +51.707204 +/- 0.0003 deg
  Lat geo = +51.522945 +/- 0.0003 deg
  Ht      =  105664.94 +/- 48.26 m

  JD dynamic   = 2459436.568998942617 
  LST apparent = 344.5070125437 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  43.92163 +/- 0.5166 deg
  Dec       = +57.20588 +/- 0.1964 deg
  Azimuth   =  56.84277 +/- 0.2793 deg
  Elevation = +56.15456 +/- 0.3045 deg
  Vavg      =  56.45037 +/- 0.2916 km/s
  Vinit     =  60.79649 +/- 1.3194 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.17957 +/- 0.5166 deg
  Dec       = +57.00584 +/- 0.1964 deg
  Azimuth   =  57.11251 +/- 0.2793 deg
  Elevation = +55.96232 +/- 0.3045 deg
  Vavg      =  56.58781 +/- 0.2916 km/s
  Vinit     =  60.93393 +/- 1.3194 km/s
Radiant (geocentric, J2000):
  R.A.   =  44.03890 +/- 0.5225 deg
  Dec    = +57.03482 +/- 0.1999 deg
  Vg     =  59.77470 +/- 1.3429 km/s
  Vinf   =  60.79649 +/- 1.3194 km/s
  Zc     =  33.94652 +/- 0.3043 deg
  Zg     =  34.24292 +/- 0.3101 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.11864 +/- 0.2980 deg
  Bg     = +38.26713 +/- 0.2577 deg
  Vh     =  41.71793 +/- 1.2162 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.94371 +/- 1.3468 deg
  Bh     = +62.55073 +/- 0.7274 deg
  Vh_x   =  -3.68788 +/- 0.5612 km/s
  Vh_y   = -18.87349 +/- 0.8931 km/s
  Vh_z   = -37.02130 +/- 0.9027 km/s
Orbit:
  La Sun = 137.374567 +/- 0.0000 deg
  a      =  90.245026 +/- 25.4821 AU
  e      =   0.989424 +/- 0.1045
  i      = 113.872656 +/- 0.8833 deg
  peri   = 151.921572 +/- 2.5173 deg
  node   = 137.374304 +/- 0.0001 deg
  Pi     = 289.295875 +/- 2.5172 deg
  q      =   0.954412 +/- 0.0069 AU
  f      =  28.074635 +/- 2.5173 deg
  M      =   0.022547 +/- nan deg
  Q      = 179.535640 +/- 50.9629 AU
  n      =   0.001150 +/- 0.0479 deg/day
  T      = 857.305378 +/- 339934609.1468 years
  Last perihelion JD = 2459416.957000 (2021-07-21 10:58:04.758112) +/- 1.4839 days
  Tj     =  -0.431233 +/- 0.6088
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.247752e-03, +3.447235e-04, +1.210654e-01, -5.284134e-08, +2.341519e-03, +7.403805e-04
q   , +3.447235e-04, +3.586231e-05, +9.637073e-03, -2.557723e-09, +2.033484e-04, +3.570847e-05
Tp  , +1.210654e-01, +9.637073e-03, +3.008120e+00, -1.109171e-06, +6.033850e-02, +1.552569e-02
node, -5.284134e-08, -2.557723e-09, -1.109171e-06, +7.649606e-13, -2.024980e-08, -1.075554e-08
peri, +2.341519e-03, +2.033484e-04, +6.033850e-02, -2.024980e-08, +1.230522e-03, +2.832608e-04
i   , +7.403805e-04, +3.570847e-05, +1.552569e-02, -1.075554e-08, +2.832608e-04, +1.512313e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.073267
 a2 = 32.161830

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 5.430e-05 s
  Stddev    = 7.37e-03 s

Begin point on the trajectory:
  Lon =     1.194635 +/- 0.0007 deg
  Lat =    51.706957 +/- 0.0003 deg
  Ht  = 105588.67 +/- 30.30 m
End point on the trajectory:
  Lon =     1.114896 +/- 0.0010 deg
  Lat =    51.674884 +/- 0.0004 deg
  Ht  = 95724.51 +/- 38.54 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   105588.67,    95724.51,          0.006196,     16.26,     18.15,              27.59, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210810_013808_757_0485120.fits"}
    UK002F,    True,    -1.306160,    51.883100,   80.00,   0.801872,  34.494386,   104466.66,    96618.09,          0.033332,       nan,       nan,              36.62, 0.0000,    True,    True, {"ff_name": "FF_UK002F_20210810_013807_922_0453120.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.097727,  49.345971,   104053.94,    96860.64,          0.009275,     34.88,     21.53,              72.34, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_013808_084_0472320.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,     UK002B,       0,  0.000000, 2459436.568198201712,  77.01314,  38.73421,               59.99187,  26.19673,        59.99147,       26.19669,     77.01314,     +38.73421,      77.01351,      +38.73444,  3879755.88, -1075484.61,  5065570.50,      51.706957,       +1.194635,  105588.67,  231595.03,       0.00,               91.83,  -232.39,      0.00,           61880.30,      1.11,     -0.99,           1.32,  +3.90,  +2.08
  1,     UK002B,       0,  0.040268, 2459436.568198667839,  77.26471,  38.48570,               60.02940,  25.88166,        60.02715,       25.88145,     77.26471,     +38.48570,      77.26691,      +38.48696,  3878710.35, -1076491.50,  5063317.65,      51.699735,       +1.176680,  103362.99,  229231.07,    2679.99,             2771.82,    -0.56,  66553.77,           61880.30,      6.06,     -5.43,           7.32,  +2.43,  +0.63
  2,     UK002B,       0,  0.080484, 2459436.568199133035,  77.48372,  38.28665,               60.04730,  25.61930,        60.05632,       25.62016,     77.48372,     +38.28665,      77.47587,      +38.28158,  3877859.06, -1077311.33,  5061483.34,      51.693849,       +1.162025,  101551.04,  227309.86,    4862.07,             4953.90,  -263.47,  54259.11,           61880.30,    -24.17,     21.66,          29.45,  +1.71,  -0.07
  3,     UK002B,       0,  0.120760, 2459436.568199599627,  77.74996,  38.02760,               60.08066,  25.28760,        60.09347,       25.28882,     77.74996,     +38.02760,      77.73882,      +38.02042,  3876800.79, -1078330.50,  5059203.01,      51.686525,       +1.143842,   99298.83,  224930.51,    7574.73,             7666.57,     0.56,  67351.85,           61880.30,    -34.06,     30.53,          41.94,  +1.59,  -0.17
  4,     UK002B,       0,  0.161032, 2459436.568200065289,  77.99307,  37.76240,               60.13144,  24.96353,        60.12971,       24.96337,     77.99307,     +37.76240,      77.99532,      +37.76337,  3875782.55, -1079311.12,  5057008.96,      51.679471,       +1.126333,   97132.13,  222648.17,   10184.78,            10276.61,   162.20,  64810.31,           62760.20,      4.56,     -4.09,           5.67,  +1.54,  -0.20
  5,     UK002B,       0,  0.201212, 2459436.568200530484,  78.15857,  37.59106,               60.15801,  24.74921,        60.15300,       24.74873,     78.15857,     +37.59106,      78.16398,      +37.59387,  3875120.97, -1079948.25,  5055583.42,      51.674884,       +1.114896,   95724.51,  221165.95,   11880.59,            11972.42,  -584.79,  42205.38,           60080.80,     13.16,    -11.79,          16.48,  +4.19,  +2.47
  0,     UK002F,       1,  0.019875, 2459436.568198431749,  48.43116,  20.00775,               95.60154,  30.07653,        95.65699,       30.11240,     48.43116,     +20.00775,      48.36765,      +20.00354,  3879228.82, -1075992.18,  5064434.84,      51.703317,       +1.185587,  104466.66,  203313.98,       0.00,             1442.82,   -89.73,      0.00,           60475.79,   -205.06,    -55.99,         215.65,  +2.06,  +0.52
  1,     UK002F,       1,  0.060047, 2459436.568198896479,  48.41245,  19.55718,               95.95618,  29.74663,        95.96791,       29.75422,     48.41245,     +19.55718,      48.39925,      +19.55630,  3878213.89, -1076969.61,  5062247.91,      51.696303,       +1.168150,  102306.27,  201242.02,    2601.55,             4044.37,    69.50,  64760.37,           60475.79,    -43.03,    -11.81,          45.74,  +0.86,  -0.66
  2,     UK002F,       1,  0.100251, 2459436.568199362140,  48.46287,  19.15710,               96.21392,  29.41185,        96.24535,       29.43212,     48.46287,     +19.15710,      48.42732,      +19.15474,  3877319.76, -1077830.70,  5060321.28,      51.690118,       +1.152763,  100403.27,  199425.85,    4893.46,             6336.28,   -82.85,  57007.01,           60475.79,   -114.35,    -31.33,         122.63,  +0.93,  -0.57
  3,     UK002F,       1,  0.140443, 2459436.568199827336,  48.47601,  18.71948,               96.52836,  29.07069,        96.54483,       29.08130,     48.47601,     +18.71948,      48.45776,      +18.71825,  3876366.11, -1078749.12,  5058266.38,      51.683515,       +1.136358,   98373.84,  197500.49,    7337.96,             8780.78,   -81.88,  60820.50,           60475.79,    -59.46,    -16.32,          64.39,  +0.74,  -0.74
  4,     UK002F,       1,  0.180623, 2459436.568200292066,  48.50246,  18.33504,               96.79050,  28.76122,        96.80708,       28.77188,     48.50246,     +18.33504,      48.48426,      +18.33380,  3875540.96, -1079543.78,  5056488.39,      51.677796,       +1.122136,   96618.09,  195842.69,    9453.05,            10895.86,  -409.60,  52640.29,           58827.95,    -59.43,    -16.31,          64.91,  +1.06,  -0.40
  0,     UK002K,       0,  0.020632, 2459436.568198436871,   8.95580,  -9.60054,              151.94123,  23.10480,       151.95252,       23.11219,      8.95580,      -9.60054,       8.94366,       -9.59639,  3879034.94, -1076178.90,  5064017.07,      51.701978,       +1.182286,  104053.94,  254246.07,       0.00,             1939.79,   361.19,      0.00,           56691.74,    -29.74,    -48.14,          45.91,  +1.70,  -0.33
  1,     UK002K,       0,  0.060848, 2459436.568198902532,   8.76852, -10.06048,              152.27431,  22.71561,       152.26563,       22.70994,      8.76852,     -10.06048,       8.77820,      -10.06367,  3878141.62, -1077039.22,  5062092.18,      51.695804,       +1.166918,  102152.44,  253569.61,    2289.84,             4229.63,   206.03,  56938.45,           56691.74,     22.81,     36.97,          35.34,  +0.92,  -1.10
  2,     UK002K,       0,  0.101088, 2459436.568199368194,   8.60923, -10.53413,              152.58055,  22.30467,       152.57935,       22.30389,      8.60923,     -10.53413,       8.61095,      -10.53457,  3877245.97, -1077901.77,  5060162.26,      51.689607,       +1.151504,  100246.22,  252910.48,    4585.65,             6525.45,    55.40,  57053.14,           56691.74,      3.15,      5.10,           4.88,  +1.02,  -0.99
  3,     UK002K,       0,  0.141316, 2459436.568199833855,   8.43635, -10.99567,              152.89472,  21.90826,       152.88682,       21.90311,      8.43635,     -10.99567,       8.44557,      -10.99860,  3876367.68, -1078747.60,  5058269.78,      51.683526,       +1.136382,   98377.20,  252282.75,    6836.94,             8776.73,  -139.04,  55963.10,           56691.74,     20.72,     33.59,          32.27,  +0.89,  -1.12
  4,     UK002K,       0,  0.181504, 2459436.568200299051,   8.30009, -11.37373,              153.14496,  21.58150,       153.13665,       21.57609,      8.30009,     -11.37373,       8.30994,      -11.37682,  3875654.96, -1079433.99,  5056734.03,      51.678586,       +1.124076,   96860.64,  251786.17,    8663.86,            10603.65,  -755.41,  45459.40,           54386.76,     21.77,     35.28,          33.96,  +1.73,  -0.28

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.