Orbital Analysis for matched events on 20210813_222049.744_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.94° Bg 38.67° Vg 56.96km/s
mass 0.01936g, abs. mag -0.1
Path Details
------------
start -2.77° 48.57° 107.07km
end   -2.89° 48.46° 97.56km

Orbit Details
-------------
Semimajor axis 4.27A.U., eccentricity 0.78, inclination 111.65°, Period 8.82Y, LA Sun 141.08°, last Perihelion 2021-07-22

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: 2459440.431131307036
Time: 2021-08-13 22:20:49.747342 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK002D
 Convergence angle = 18.60743 deg
 R.A. =  44.21296  Dec = +58.69019 deg

Best intersection: Stations UK0021 and UK002D with Qconv = 18.61 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1817577.82 +/- 215.20 m
 Y =  -3895741.18 +/- 334.20 m
 Z =   4840040.64 +/- 111.48 m
 Vx =    20475.77 +/- 1469.73 m/s
 Vy =    22129.64 +/- 1653.53 m/s
 Vz =    49583.15 +/- 959.28 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.435458e+04, -5.814951e+04, -1.700104e+04, +1.900360e+05, -1.812801e+05, -6.661657e+03
-5.814951e+04, +9.397942e+04, +2.910822e+04, -2.615788e+05, +3.215706e+05, +2.606176e+04
-1.700104e+04, +2.910822e+04, +1.246042e+04, -7.863638e+04, +9.664777e+04, +1.742695e+04
+1.900360e+05, -2.615788e+05, -7.863638e+04, +1.093787e+06, -9.664368e+05, +1.488097e+05
-1.812801e+05, +3.215706e+05, +9.664777e+04, -9.664368e+05, +1.325617e+06, +8.967501e+04
-6.661657e+03, +2.606176e+04, +1.742695e+04, +1.488097e+05, +8.967501e+04, +2.848981e+05

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK002D: 0.001175 s

Reference point on the trajectory:
  Time: 2021-08-13 22:20:49.747342 UTC
  Lon     = +-2.763452 +/- 0.0012 deg
  Lat     = +48.576632 +/- 0.0031 deg
  Lat geo = +48.388794 +/- 0.0031 deg
  Ht      =  107306.86 +/- 190.29 m

  JD dynamic   = 2459440.431932075880 
  LST apparent = 295.0116429901 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.22300 +/- 3.2663 deg
  Dec       = +58.69811 +/- 0.3247 deg
  Azimuth   =  34.01938 +/- 1.2506 deg
  Elevation = +30.71400 +/- 1.3446 deg
  Vavg      =  57.70807 +/- 0.8983 km/s
  Vinit     =  58.02988 +/- 0.9235 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.99994 +/- 3.2663 deg
  Dec       = +58.45372 +/- 0.3247 deg
  Azimuth   =  34.31673 +/- 1.2506 deg
  Elevation = +30.62545 +/- 1.3446 deg
  Vavg      =  57.85950 +/- 0.8983 km/s
  Vinit     =  58.18131 +/- 0.9235 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.62905 +/- 3.2368 deg
  Dec    = +58.18807 +/- 0.3319 deg
  Vg     =  56.95895 +/- 0.9401 km/s
  Vinf   =  58.02988 +/- 0.9235 km/s
  Zc     =  59.44175 +/- 1.3468 deg
  Zg     =  60.05099 +/- 1.3537 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.93665 +/- 1.9690 deg
  Bg     = +38.66516 +/- 0.8100 deg
  Vh     =  39.28886 +/- 0.7452 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.06093 +/- 4.2734 deg
  Bh     = +64.92629 +/- 1.9308 deg
  Vh_x   =  -2.01155 +/- 1.0440 km/s
  Vh_y   = -16.52803 +/- 1.5729 km/s
  Vh_z   = -35.58641 +/- 0.5899 km/s
Orbit:
  La Sun = 141.082671 +/- 0.0000 deg
  a      =   4.269911 +/- 11.5197 AU
  e      =   0.776423 +/- 0.0650
  i      = 111.646532 +/- 1.1593 deg
  peri   = 150.232466 +/- 5.0342 deg
  node   = 141.081134 +/- 0.0001 deg
  Pi     = 291.313600 +/- 5.0343 deg
  q      =   0.954652 +/- 0.0182 AU
  f      =  29.763522 +/- 5.0342 deg
  M      =   2.457371 +/- nan deg
  Q      =   7.585169 +/- 23.0302 AU
  n      =   0.111706 +/- 0.0338 deg/day
  T      =   8.823255 +/- 249443821.9662 years
  Last perihelion JD = 2459418.433343 (2021-07-22 22:24:00.818645) +/- 3.3998 days
  Tj     =   0.797679 +/- 0.3771
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.101421e-03, +2.225682e-04, +5.210649e-02, -2.220505e-08, +1.116194e-03, +2.989504e-04
q   , +2.225682e-04, +2.846414e-04, +5.770039e-02, +7.341306e-09, +1.446383e-03, -9.927791e-05
Tp  , +5.210649e-02, +5.770039e-02, +1.188471e+01, +1.571611e-06, +2.963486e-01, -2.124969e-02
node, -2.220505e-08, +7.341306e-09, +1.571611e-06, +1.141448e-12, +4.116346e-08, -1.533659e-08
peri, +1.116194e-03, +1.446383e-03, +2.963486e-01, +4.116346e-08, +7.412825e-03, -5.564818e-04
i   , +2.989504e-04, -9.927791e-05, -2.124969e-02, -1.533659e-08, -5.564818e-04, +2.060745e-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: UK0021
  Avg. res. = 2.042e-05 s
  Stddev    = 4.52e-03 s

Begin point on the trajectory:
  Lon =    -2.766436 +/- 0.0007 deg
  Lat =    48.573698 +/- 0.0038 deg
  Ht  = 107069.11 +/- 118.64 m
End point on the trajectory:
  Lon =    -2.887264 +/- 0.0006 deg
  Lat =    48.455891 +/- 0.0027 deg
  Ht  = 97561.61 +/- 79.56 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   106184.26,    97905.40,          0.015470,     72.35,     11.23,             107.28, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210813_222046_172_0188672.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   107069.11,    97561.61,          0.018491,     97.20,     51.24,             123.82, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_222045_008_0195840.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,     UK0021,       1,  0.000000, 2459440.431131307036, 307.00187, -15.68043,              166.69244,  22.69146,       166.70030,       22.69785,    307.00187,     -15.68043,     306.99343,      -15.67521,  1817594.12, -3895723.57,  4840080.09,      48.576923,       -2.763146,  107330.45,  266053.65,       0.00,               46.18,   305.23,      0.00,           54910.87,      6.88,    -44.34,          34.79,  +4.98,  +2.86
  1,     UK0021,       0,  0.040388, 2459440.431131774560, 306.73656, -16.06127,              167.02732,  22.35311,       167.02955,       22.35492,    306.73656,     -16.06127,     306.73433,      -16.05979,  1816802.09, -3896579.57,  4838162.17,      48.562774,       -2.777703,  106184.26,  266777.25,    2244.65,             2198.48,   147.28,  55577.24,           54910.87,      1.96,    -12.62,           9.87,  +3.01,  +0.88
  2,     UK0021,       0,  0.080772, 2459440.431132242084, 306.45865, -16.43434,              167.37128,  22.02306,       167.35701,       22.01151,    306.45865,     -16.43434,     306.47438,      -16.44386,  1816006.11, -3897439.84,  4836234.65,      48.548548,       -2.792329,  105032.90,  267521.57,    4500.53,             4454.35,     0.01,  55860.55,           54910.87,    -12.62,     81.04,          63.23,  +1.88,  -0.26
  3,     UK0021,       0,  0.121148, 2459440.431132709142, 306.22892, -16.80653,              167.66333,  21.68614,       167.66449,       21.68709,    306.22892,     -16.80653,     306.22817,      -16.80575,  1815251.36, -3898255.56,  4834406.98,      48.535052,       -2.806203,  103941.71,  268242.92,    6639.55,             6593.38,  -262.95,  52977.67,           54910.87,      1.03,     -6.65,           5.17,  +1.90,  -0.24
  4,     UK0021,       0,  0.161628, 2459440.431133177597, 305.90663, -17.28208,              168.06241,  21.25816,       168.06510,       21.26033,    305.90663,     -17.28208,     305.90439,      -17.28028,  1814254.41, -3899333.04,  4831992.81,      48.517216,       -2.824472,  102501.14,  269219.70,    9464.99,             9418.81,   149.86,  69798.36,           57733.90,      2.40,    -15.41,          11.95,  +1.65,  -0.50
  5,     UK0021,       0,  0.202004, 2459440.431133645121, 305.66632, -17.65579,              168.36016,  20.91900,       168.37373,       20.92992,    305.66632,     -17.65579,     305.65245,      -17.64667,  1813478.90, -3900171.18,  4830114.89,      48.503334,       -2.838717,  101381.17,  269997.10,   11662.83,            11616.65,   -55.78,  54434.19,           58068.27,     12.09,    -77.91,          60.23,  +1.33,  -0.83
  6,     UK0021,       0,  0.242428, 2459440.431134113111, 305.35091, -18.06084,              168.73558,  20.55718,       168.72617,       20.54963,    305.35091,     -18.06084,     305.36215,      -18.06718,  1812582.37, -3901140.13,  4827943.89,      48.487277,       -2.855156,  100087.10,  270915.71,   14203.66,            14157.49,    75.52,  62854.72,           58700.79,     -8.45,     54.22,          41.78,  +1.30,  -0.86
  7,     UK0021,       0,  0.282832, 2459440.431134580635, 305.07808, -18.45841,              169.06415,  20.19618,       169.05700,       20.19045,    305.07808,     -18.45841,     305.08705,      -18.46324,  1811731.45, -3902059.78,  4825883.34,      48.472030,       -2.870763,   98859.52,  271806.68,   16615.24,            16569.06,    79.40,  59686.57,           59046.43,     -6.45,     41.38,          31.78,  +1.57,  -0.60
  8,     UK0021,       0,  0.323152, 2459440.431135047227, 304.90078, -18.78731,              169.28554,  19.89097,       169.31231,       19.91241,    304.90078,     -18.78731,     304.87294,      -18.76917,  1811069.79, -3902774.88,  4824281.08,      48.460168,       -2.882933,   97905.40,  272511.81,   18490.44,            18444.27,  -444.61,  46508.02,           58373.74,     24.09,   -155.39,         119.02,  +1.84,  -0.34
  0,     UK002D,       0,  0.003271, 2459440.431131334975, 282.69340, -20.61759,              192.99851,  17.09114,       192.99259,       17.08874,    282.69340,     -20.61759,     282.69901,      -20.62080,  1817413.56, -3895918.71,  4839642.87,      48.573698,       -2.766436,  107069.11,  336720.24,       0.00,              465.53,   666.92,      0.00,           55000.35,    -16.85,     31.94,          22.12,  +5.64,  +3.00
  1,     UK002D,       0,  0.043471, 2459440.431131800171, 282.59047, -20.85100,              193.06127,  16.84590,       193.09599,       16.85997,    282.59047,     -20.85100,     282.55779,      -20.83206,  1816781.57, -3896601.76,  4838112.45,      48.562407,       -2.778085,  106154.56,  337758.54,    1791.13,             2256.66,    59.65,  44555.48,           55000.35,     99.05,   -188.23,         129.89,  +4.32,  +1.68
  2,     UK002D,       0,  0.083715, 2459440.431132265832, 282.32528, -21.13414,              193.27169,  16.52833,       193.24854,       16.51898,    282.32528,     -21.13414,     282.34759,      -21.14679,  1815832.29, -3897627.70,  4835813.74,      48.545440,       -2.795494,  104781.56,  339328.72,    4481.45,             4946.97,   341.20,  66850.09,           55000.35,    -66.58,    126.11,          86.68,  +3.22,  +0.57
  3,     UK002D,       0,  0.123923, 2459440.431132731494, 282.18317, -21.37343,              193.36958,  16.27146,       193.36100,       16.26799,    282.18317,     -21.37343,     282.19185,      -21.37814,  1815128.22, -3898388.64,  4834108.80,      48.532850,       -2.808447,  103763.73,  340503.08,    6476.83,             6942.36,   -64.75,  49626.56,           55000.35,    -24.79,     46.99,          32.18,  +2.51,  -0.15
  4,     UK002D,       0,  0.164167, 2459440.431133197155, 281.99128, -21.65923,              193.50671,  15.96131,       193.49888,       15.95815,    281.99128,     -21.65923,     281.99943,      -21.66354,  1814252.41, -3899335.20,  4831987.96,      48.517180,       -2.824516,  102498.25,  341973.97,    8958.96,             9424.49,     8.77,  61677.00,           56194.35,    -22.75,     43.11,          29.40,  +2.80,  +0.13
  5,     UK002D,       0,  0.204343, 2459440.431133662350, 281.83429, -21.86285,              193.62299,  15.73724,       193.60131,       15.72848,    281.83429,     -21.86285,     281.85586,      -21.87481,  1813598.58, -3900041.84,  4830404.69,      48.505477,       -2.836551,  101553.95,  343080.36,   10811.95,            11277.48,  -536.62,  46121.95,           55098.24,    -63.29,    119.85,          81.49,  +2.48,  -0.20
  6,     UK002D,       0,  0.244655, 2459440.431134128943, 281.63110, -22.22707,              193.75569,  15.34765,       193.76720,       15.35231,    281.63110,     -22.22707,     281.62109,      -22.22070,  1812518.44, -3901209.22,  4827789.07,      48.486132,       -2.856321,   99994.84,  344920.57,   13873.15,            14338.68,   104.27,  75937.68,           56944.81,     33.79,    -64.10,          43.33,  +2.05,  -0.64
  7,     UK002D,       0,  0.284879, 2459440.431134594139, 281.41397, -22.49092,              193.91689,  15.05484,       193.90110,       15.04846,    281.41397,     -22.49092,     281.43033,      -22.49969,  1811637.80, -3902160.99,  4825656.55,      48.470351,       -2.872466,   98724.46,  346434.25,   16368.96,            16834.48,   191.18,  62047.55,           58138.95,    -46.67,     88.39,          59.51,  +2.38,  -0.32
  8,     UK002D,       0,  0.325111, 2459440.431135059800, 281.26314, -22.75763,              194.01396,  14.76897,       194.02254,       14.77244,    281.26314,     -22.75763,     281.25624,      -22.75285,  1810831.28, -3903032.65,  4823703.53,      48.455891,       -2.887264,   97561.61,  347830.75,   18654.68,            19120.21,    68.52,  56813.68,           58607.71,     25.46,    -48.28,          32.37,  +4.16,  +1.45

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.