Orbital Analysis for matched events on 20210816_021029.021_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.74° Bg 34.90° Vg 58.57km/s
mass 0.01075g, abs. mag 0.3
Path Details
------------
start -4.90° 51.42° 106.10km
end   -4.99° 51.39° 96.59km

Orbit Details
-------------
Semimajor axis 4.76A.U., eccentricity 0.81, inclination 116.72°, Period 10.37Y, LA Sun 143.16°, last Perihelion 2021-07-18

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: 2459442.590613670647
Time: 2021-08-16 02:10:29.021144 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK0024
 Convergence angle = 8.30056 deg
 R.A. =  56.74598  Dec = +57.03823 deg

Best intersection: Stations UK0020 and UK0024 with Qconv = 8.30 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4015951.77 +/- 21.51 m
 Y =   -534724.01 +/- 175.54 m
 Z =   5046070.48 +/- 239.55 m
 Vx =    17716.84 +/- 653.44 m/s
 Vy =    28059.24 +/- 2383.68 m/s
 Vz =    49526.31 +/- 2068.75 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.005917e+02, -1.361949e+03, +2.123036e+03, +4.878034e+03, -1.593880e+04, +1.377774e+04
-1.361949e+03, +8.811634e+03, -9.952624e+03, -2.952718e+04, +6.818167e+04, -1.373999e+05
+2.123036e+03, -9.952624e+03, +1.341352e+04, +3.250477e+04, -7.208592e+04, +1.413934e+05
+4.878034e+03, -2.952718e+04, +3.250477e+04, +2.092568e+05, -1.070159e+05, +8.001619e+05
-1.593880e+04, +6.818167e+04, -7.208592e+04, -1.070159e+05, +1.146284e+06, -9.976744e+05
+1.377774e+04, -1.373999e+05, +1.413934e+05, +8.001619e+05, -9.976744e+05, +3.739294e+06

Timing offsets (from input data):
    UK0020: 0.000000 s
    UK0024: 0.000033 s

Reference point on the trajectory:
  Time: 2021-08-16 02:10:29.021144 UTC
  Lon     = +-4.901544 +/- 0.0025 deg
  Lat     = +51.424345 +/- 0.0011 deg
  Lat geo = +51.239678 +/- 0.0011 deg
  Ht      =  106052.04 +/- 204.55 m

  JD dynamic   = 2459442.591414411552 
  LST apparent = 352.4156771138 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.73133 +/- 1.5281 deg
  Dec       = +56.17647 +/- 1.7949 deg
  Azimuth   =  56.38069 +/- 2.5219 deg
  Elevation = +52.60089 +/- 1.3086 deg
  Vavg      =  56.22465 +/- 0.6132 km/s
  Vinit     =  59.61596 +/- 1.2974 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  57.94265 +/- 1.5281 deg
  Dec       = +55.96250 +/- 1.7949 deg
  Azimuth   =  56.63778 +/- 2.5219 deg
  Elevation = +52.41324 +/- 1.3086 deg
  Vavg      =  56.37462 +/- 0.6132 km/s
  Vinit     =  59.76592 +/- 1.2974 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.87670 +/- 1.5393 deg
  Dec    = +55.98931 +/- 1.8171 deg
  Vg     =  58.57366 +/- 1.3208 km/s
  Vinf   =  59.61596 +/- 1.2974 km/s
  Zc     =  37.50163 +/- 1.3022 deg
  Zg     =  37.84468 +/- 1.3260 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.73738 +/- 0.3928 deg
  Bg     = +34.89818 +/- 1.9687 deg
  Vh     =  39.56672 +/- 1.8641 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.85188 +/- 0.9761 deg
  Bh     = +57.88201 +/- 2.1660 deg
  Vh_x   =  -0.05438 +/- 0.3380 km/s
  Vh_y   = -21.03615 +/- 0.7959 km/s
  Vh_z   = -33.51123 +/- 2.2926 km/s
Orbit:
  La Sun = 143.157292 +/- nan deg
  a      =   4.755295 +/- 40.7970 AU
  e      =   0.811072 +/- 0.1518
  i      = 116.717819 +/- 1.8751 deg
  peri   = 138.420513 +/- 6.6339 deg
  node   = 143.156999 +/- 0.0001 deg
  Pi     = 281.577512 +/- 6.6340 deg
  q      =   0.898408 +/- 0.0237 AU
  f      =  41.575804 +/- 6.6338 deg
  M      =   2.753492 +/- nan deg
  Q      =   8.612182 +/- 81.5975 AU
  n      =   0.095047 +/- 0.0848 deg/day
  T      =  10.369714 +/- 497317350.6985 years
  Last perihelion JD = 2459413.621591 (2021-07-18 02:55:05.440061) +/- 5.5490 days
  Tj     =   0.591635 +/- 0.8821
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.007464e-02, +3.562835e-03, +7.937644e-01, +9.211596e-08, +1.788315e-02, -1.250956e-03
q   , +3.562835e-03, +6.913422e-04, +1.464406e-01, +2.954378e-08, +3.358961e-03, -4.042539e-04
Tp  , +7.937644e-01, +1.464406e-01, +3.205773e+01, +4.757748e-06, +7.271438e-01, -6.494470e-02
node, +9.211596e-08, +2.954378e-08, +4.757748e-06, +3.555341e-12, +1.211769e-07, -4.894819e-08
peri, +1.788315e-02, +3.358961e-03, +7.271438e-01, +1.211769e-07, +1.655673e-02, -1.656067e-03
i   , -1.250956e-03, -4.042539e-04, -6.494470e-02, -4.894819e-08, -1.656067e-03, +6.741523e-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: UK0020
  Avg. res. = 8.364e-06 s
  Stddev    = 2.89e-03 s

Begin point on the trajectory:
  Lon =    -4.901157 +/- 0.0025 deg
  Lat =    51.424506 +/- 0.0011 deg
  Ht  = 106095.10 +/- 197.62 m
End point on the trajectory:
  Lon =    -4.987702 +/- 0.0026 deg
  Lat =    51.388829 +/- 0.0007 deg
  Ht  = 96588.06 +/- 124.52 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
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   106095.10,    96949.34,          0.016557,     13.94,     45.66,              65.46, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210816_021029_905_0540416.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   105530.69,    96588.06,          0.007251,      9.88,     21.07,              76.36, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210816_021029_426_0542208.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,     UK0020,       0,  0.000000, 2459442.590613670647, 264.75762,  53.85488,              310.51397,  39.12833,       310.53412,       39.11572,    264.75762,     +53.85488,     264.72486,      +53.86037,  4015967.87,  -534698.51,  5046115.50,      51.424506,       -4.901157,  106095.10,  166115.60,       0.00,               54.20,   336.69,      0.00,           57001.74,     55.69,    -17.00,          72.30,  +3.91,  +2.81
  1,     UK0020,       0,  0.040460, 2459442.590614139102, 264.41279,  53.07816,              309.85685,  38.50920,       309.88914,       38.48911,    264.41279,     +53.07816,     264.36118,      +53.08681,  4015227.34,  -535871.33,  5044045.39,      51.417094,       -4.919152,  104115.67,  165195.99,    2491.84,             2437.65,   308.08,  61587.80,           57001.74,     89.02,    -27.19,         116.23,  +1.92,  +0.83
  2,     UK0020,       0,  0.080864, 2459442.590614606626, 264.07800,  52.44565,              309.35980,  37.97189,       309.36460,       37.96892,    264.07800,     +52.44565,     264.07072,      +52.44692,  4014622.16,  -536829.79,  5042353.65,      51.411031,       -4.933892,  102498.28,  164470.13,    4528.22,             4474.03,   -64.26,  50400.50,           57001.74,     13.22,     -4.03,          17.33,  +1.40,  +0.32
  3,     UK0020,       0,  0.121344, 2459442.590615075082, 263.71163,  51.66288,              308.73949,  37.32208,       308.73110,       37.32726,    263.71163,     +51.66288,     263.72528,      +51.66069,  4013885.92,  -537995.82,  5040295.53,      51.403649,       -4.951793,  100530.93,  163615.51,    7005.63,             6951.43,    -0.11,  61200.72,           57001.74,    -23.06,      7.03,          30.39,  +1.13,  +0.06
  4,     UK0020,       0,  0.161828, 2459442.590615543537, 263.36734,  50.85476,              308.10131,  36.65901,       308.09176,       36.66487,    263.36734,     +50.85476,     263.38279,      +50.85230,  4013137.60,  -539180.99,  5038203.64,      51.396139,       -4.969990,   98531.63,  162780.96,    9523.69,             9469.49,   104.46,  62198.91,           58242.54,    -26.22,      7.99,          34.73,  +1.01,  -0.05
  5,     UK0020,       0,  0.202208, 2459442.590616011061, 263.11166,  50.20612,              307.59173,  36.13091,       307.58835,       36.13298,    263.11166,     +50.20612,     263.11768,      +50.20526,  4012545.27,  -540119.10,  5036547.82,      51.390188,       -4.984433,   96949.34,  162146.76,   11516.84,            11462.64,  -309.68,  49359.76,           57330.20,     -9.26,      2.82,          12.31,  +1.78,  +0.73
  0,     UK0024,       0,  0.007191, 2459442.590613689739, 271.05825,  40.85874,              294.63202,  34.27229,       294.64745,       34.26458,    271.05825,     +40.85874,     271.03953,      +40.86338,  4015756.73,  -535032.90,  5045525.27,      51.422393,       -4.906246,  105530.69,  184131.90,       0.00,              656.28,   510.08,      0.00,           55278.76,     43.35,    -20.33,          53.64,  +4.24,  +2.91
  1,     UK0024,       0,  0.047687, 2459442.590614158660, 270.79424,  40.30868,              294.28840,  33.76079,       294.28295,       33.76350,    270.79424,     +40.30868,     270.80101,      +40.30705,  4015190.83,  -535929.16,  5043943.32,      51.416728,       -4.920038,  104018.07,  183785.36,    1904.23,             2560.51,     0.11,  47022.66,           55278.76,    -15.35,      7.19,          19.03,  +2.59,  +1.27
  2,     UK0024,       0,  0.088327, 2459442.590614628978, 270.50044,  39.58056,              293.81066,  33.11121,       293.81460,       33.10924,    270.50044,     +39.58056,     270.49604,      +39.58174,  4014456.14,  -537092.73,  5041889.56,      51.409367,       -4.937898,  102054.62,  183361.47,    4376.39,             5032.67,    49.48,  60830.80,           55278.76,     11.14,     -5.22,          13.84,  +1.68,  +0.36
  3,     UK0024,       0,  0.128919, 2459442.590615098830, 270.22719,  38.90789,              293.38058,  32.50572,       293.38741,       32.50233,    270.22719,     +38.90789,     270.21951,      +38.90991,  4013779.43,  -538164.48,  5039997.84,      51.402581,       -4.954367,  100246.38,  183000.57,    6653.50,             7309.78,   -93.35,  56097.38,           55278.76,     19.35,     -9.07,          24.08,  +1.56,  +0.25
  4,     UK0024,       0,  0.169607, 2459442.590615569614, 269.90427,  38.12791,              292.89757,  31.79510,       292.89798,       31.79490,    269.90427,     +38.12791,     269.90446,      +38.12803,  4012995.50,  -539406.04,  5037806.42,      51.394712,       -4.973424,   98152.03,  182615.82,    9291.36,             9947.64,   118.86,  64831.49,           57461.16,      1.17,     -0.55,           1.47,  +1.36,  +0.05
  5,     UK0024,       0,  0.210123, 2459442.590616038535, 269.66884,  37.54161,              292.53810,  31.26178,       292.53565,       31.26299,    269.66884,     +37.54161,     269.67261,      +37.54089,  4012410.01,  -540333.31,  5036169.72,      51.388829,       -4.987702,   96588.06,  182355.27,   11261.49,            11917.77,  -326.41,  48625.93,           56824.27,     -6.98,      3.27,           8.71,  +2.85,  +1.55

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.