Orbital Analysis for matched events on 20210810_001629.239_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.19° Bg 38.25° Vg 57.84km/s
mass 0.00127g, abs. mag 2.0
Path Details
------------
start -1.57° 50.83° 106.56km
end   -1.65° 50.78° 99.20km

Orbit Details
-------------
Semimajor axis 6.92A.U., eccentricity 0.87, inclination 112.06°, Period 18.20Y, LA Sun 137.32°, last Perihelion 2021-07-16

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: 2459436.511449532118
Time: 2021-08-10 00:16:29.239575 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK0038
 Convergence angle = 36.89357 deg
 R.A. =  46.28190  Dec = +57.62751 deg

Best intersection: Stations UK0001 and UK0038 with Qconv = 36.89 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3201021.17 +/- 32.17 m
 Y =  -2568300.14 +/- 17.19 m
 Z =   5004320.56 +/- 43.24 m
 Vx =    21514.26 +/- 247.99 m/s
 Vy =    22718.78 +/- 413.46 m/s
 Vz =    49891.92 +/- 291.33 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.079109e+03, -5.514669e+02, +1.425871e+03, +6.711571e+03, -5.779158e+03, +7.519192e+03
-5.514669e+02, +3.115941e+02, -7.489945e+02, -3.839752e+03, +3.468987e+03, -4.490737e+03
+1.425871e+03, -7.489945e+02, +1.961292e+03, +9.013791e+03, -8.401905e+03, +1.069369e+04
+6.711571e+03, -3.839752e+03, +9.013791e+03, +6.186494e+04, -5.405424e+04, +6.990780e+04
-5.779158e+03, +3.468987e+03, -8.401905e+03, -5.405424e+04, +5.321793e+04, -6.667844e+04
+7.519192e+03, -4.490737e+03, +1.069369e+04, +6.990780e+04, -6.667844e+04, +8.434544e+04

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK0038: 0.000135 s

Reference point on the trajectory:
  Time: 2021-08-10 00:16:29.239575 UTC
  Lon     = +-1.567702 +/- 0.0001 deg
  Lat     = +50.830686 +/- 0.0000 deg
  Lat geo = +50.645213 +/- 0.0000 deg
  Ht      =  106560.86 +/- 55.73 m

  JD dynamic   = 2459436.512250273023 
  LST apparent = 321.2586119494 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.55985 +/- 0.6005 deg
  Dec       = +57.90665 +/- 0.1601 deg
  Azimuth   =  46.56496 +/- 0.0878 deg
  Elevation = +43.18029 +/- 0.3536 deg
  Vavg      =  56.70396 +/- 0.2505 km/s
  Vinit     =  58.89151 +/- 0.2398 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.60432 +/- 0.6005 deg
  Dec       = +57.66147 +/- 0.1601 deg
  Azimuth   =  46.83809 +/- 0.0878 deg
  Elevation = +43.03568 +/- 0.3536 deg
  Vavg      =  56.86297 +/- 0.2505 km/s
  Vinit     =  59.05052 +/- 0.2398 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.87172 +/- 0.6055 deg
  Dec    = +57.59682 +/- 0.1661 deg
  Vg     =  57.83628 +/- 0.2442 km/s
  Vinf   =  58.89151 +/- 0.2398 km/s
  Zc     =  46.94737 +/- 0.3537 deg
  Zg     =  47.39723 +/- 0.3614 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.19383 +/- 0.3245 deg
  Bg     = +38.24896 +/- 0.2626 deg
  Vh     =  40.27364 +/- 0.2800 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.41579 +/- 0.7750 deg
  Bh     = +62.75754 +/- 0.3334 deg
  Vh_x   =  -1.47345 +/- 0.2467 km/s
  Vh_y   = -18.37656 +/- 0.0909 km/s
  Vh_z   = -35.80638 +/- 0.3553 km/s
Orbit:
  La Sun = 137.320123 +/- -0.0000 deg
  a      =   6.918356 +/- 0.7767 AU
  e      =   0.866063 +/- 0.0218
  i      = 112.057148 +/- 0.1043 deg
  peri   = 144.566625 +/- 1.6414 deg
  node   = 137.319348 +/- 0.0000 deg
  Pi     = 281.885973 +/- 1.6414 deg
  q      =   0.926627 +/- 0.0067 AU
  f      =  35.429413 +/- 1.6414 deg
  M      =   1.351348 +/- 0.5153 deg
  Q      =  12.910086 +/- 1.5469 AU
  n      =   0.054163 +/- 0.0159 deg/day
  T      =  18.197220 +/- 2.7698 years
  Last perihelion JD = 2459411.562427 (2021-07-16 01:29:53.711722) +/- 1.1591 days
  Tj     =   0.319316 +/- 0.1338
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.960777e-04, +1.507720e-04, +2.619022e-02, +2.034653e-09, +6.462664e-04, -2.718108e-05
q   , +1.507720e-04, +4.630355e-05, +8.016958e-03, +5.577984e-10, +1.980994e-04, -7.451354e-06
Tp  , +2.619022e-02, +8.016958e-03, +1.389486e+00, +1.001462e-07, +3.431931e-02, -1.337819e-03
node, +2.034653e-09, +5.577984e-10, +1.001462e-07, +1.986867e-14, +2.436274e-09, -2.654606e-10
peri, +6.462664e-04, +1.980994e-04, +3.431931e-02, +2.436274e-09, +8.478187e-04, -3.254520e-05
i   , -2.718108e-05, -7.451354e-06, -1.337819e-03, -2.654606e-10, -3.254520e-05, +3.546761e-06

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: UK0001
  Avg. res. = 7.222e-06 s
  Stddev    = 2.69e-03 s

Begin point on the trajectory:
  Lon =    -1.567716 +/- 0.0001 deg
  Lat =    50.830678 +/- 0.0000 deg
  Ht  = 106559.62 +/- 55.34 m
End point on the trajectory:
  Lon =    -1.648051 +/- 0.0001 deg
  Lat =    50.782927 +/- 0.0000 deg
  Ht  = 99204.85 +/- 53.48 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.000000, 114.597707,   106559.62,    99204.85,          0.006626,     10.01,      6.83,              43.13, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210810_001626_485_0359424.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   106013.07,   101120.06,          0.011698,     27.18,      1.13,              57.23, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_001623_977_0353024.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,     UK0001,       0,  0.000000, 2459436.511449532118, 333.28443,  48.58234,              101.30979,  81.77926,       101.28475,       81.78595,    333.28443,     +48.58234,     333.27687,      +48.58805,  3201020.51, -2568300.84,  5004319.02,      50.830678,       -1.567716,  106559.62,  107620.99,       0.00,                1.82,   415.03,      0.00,           55947.74,      8.03,    -11.78,          27.32,  +4.28,  +4.12
  1,     UK0001,       0,  0.039544, 2459436.511449989863, 332.49037,  48.11878,              105.80582,  82.08864,       105.77711,       82.09765,    332.49037,     +48.11878,     332.48071,      +48.12611,  3200321.39, -2569039.11,  5002697.76,      50.822193,       -1.582028,  105250.19,  106217.96,    1913.72,             1915.53,    -0.06,  48394.58,           55947.74,     10.27,    -15.06,          35.40,  +3.50,  +3.37
  2,     UK0001,       0,  0.078988, 2459436.511450446211, 331.53876,  47.55324,              111.69469,  82.40028,       111.68240,       82.40533,    331.53876,     +47.55324,     331.53379,      +47.55715,  3199495.53, -2569911.20,  5000782.57,      50.812162,       -1.598906,  103703.74,  104582.00,    4174.36,             4176.18,   -62.33,  57312.85,           55947.74,      5.45,     -7.99,          19.08,  +1.75,  +1.65
  3,     UK0001,       0,  0.118376, 2459436.511450902093, 330.50462,  46.91759,              118.72727,  82.64734,       118.72986,       82.64561,    330.50462,     +46.91759,     330.50687,      +46.91631,  3198607.47, -2570848.98,  4998723.14,      50.801369,       -1.617043,  102041.28,  102849.63,    6605.27,             6607.09,    48.96,  61717.04,           55947.74,     -1.77,      2.60,           6.31,  +1.46,  +1.40
  4,     UK0001,       0,  0.157788, 2459436.511451358441, 329.53214,  46.29646,              125.85116,  82.77523,       125.85528,       82.76748,    329.53214,     +46.29646,     329.54060,      +46.29087,  3197779.58, -2571723.23,  4996803.25,      50.791299,       -1.633964,  100491.88,  101260.67,    8871.48,             8873.30,    -5.86,  57500.45,           56879.78,     -7.74,     11.33,          27.96,  +2.36,  +2.33
  5,     UK0001,       0,  0.197296, 2459436.511451815721, 328.72535,  45.75299,              132.06453,  82.78688,       132.06316,       82.78269,    328.72535,     +45.75299,     328.73039,      +45.75000,  3197091.72, -2572449.59,  4995208.10,      50.782927,       -1.648051,   99204.85,   99960.36,   10754.36,            10756.18,  -449.67,  47658.25,           55826.76,     -4.13,      6.04,          15.11,  +4.48,  +4.48
  0,     UK0038,       0,  0.020629, 2459436.511449620593, 347.57443,  19.44671,              136.15378,  51.63450,       136.16778,       51.64958,    347.57443,     +19.44671,     347.55895,      +19.45612,  3200728.72, -2568608.97,  5003642.35,      50.827137,       -1.573652,  106013.07,  134280.41,       0.00,              800.55,    -1.13,      0.00,           58710.29,     -1.70,    -40.74,          62.63,  +5.70,  +5.06
  1,     UK0038,       0,  0.061125, 2459436.511450089514, 347.01784,  18.68865,              137.45577,  51.19626,       137.44612,       51.18617,    347.01784,     +18.68865,     347.02850,      +18.68231,  3199802.01, -2569587.56,  5001493.31,      50.815886,       -1.592575,  104277.60,  132922.24,    2536.69,             3337.24,   150.69,  62640.49,           58710.29,      1.12,     27.27,          42.35,  +3.25,  +2.63
  2,     UK0038,       0,  0.101609, 2459436.511450557970, 346.54000,  17.96332,              138.60931,  50.74437,       138.60931,       50.74436,    346.54000,     +17.96332,     346.54038,      +17.96331,  3198958.87, -2570477.91,  4999538.04,      50.805641,       -1.609807,  102699.05,  131716.57,    4844.66,             5645.21,    74.49,  57009.41,           58710.29,      0.00,      0.01,           0.01,  +2.07,  +1.47
  3,     UK0038,       0,  0.142089, 2459436.511451026425, 346.03748,  17.23506,              139.78045,  50.29126,       139.77172,       50.28258,    346.03748,     +17.23506,     346.04715,      +17.22955,  3198115.26, -2571368.75,  4997581.70,      50.795383,       -1.627050,  101120.06,  130540.16,    7153.89,             7954.44,    -0.21,  57046.21,           58710.29,      0.96,     23.48,          37.13,  +2.20,  +1.62

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.