Orbital Analysis for matched events on 20210810_022133.267_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.68° Bg 41.27° Vg 57.88km/s
mass 0.03890g, abs. mag -1.6
Path Details
------------
start -3.86° 53.64° 107.54km
end   -3.95° 53.61° 94.92km

Orbit Details
-------------
Semimajor axis 97.06A.U., eccentricity 0.99, inclination 108.23°, Period 956.27Y, LA Sun 137.40°, 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: 2459436.598301711958
Time: 2021-08-10 02:21:33.267913 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 39.26977 deg
 R.A. =  46.30221  Dec = +59.49792 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 39.27 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3798103.89 +/- 44.13 m
 Y =   -648099.44 +/- 75.64 m
 Z =   5200063.97 +/- 62.01 m
 Vx =    20288.92 +/- 358.82 m/s
 Vy =    20513.40 +/- 545.22 m/s
 Vz =    51393.86 +/- 347.87 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.068692e+03, +3.571441e+02, +1.213972e+03, +1.136058e+04, +8.742716e+02, -6.512693e+03
+3.571441e+02, +6.069566e+03, -2.055068e+03, -5.682927e+03, +3.036252e+04, -1.607279e+04
+1.213972e+03, -2.055068e+03, +4.189655e+03, +2.906510e+03, -2.038291e+04, +1.103735e+04
+1.136058e+04, -5.682927e+03, +2.906510e+03, +1.068311e+05, +8.698224e+03, -5.965354e+04
+8.742716e+02, +3.036252e+04, -2.038291e+04, +8.698224e+03, +2.449213e+05, -1.534971e+05
-6.512693e+03, -1.607279e+04, +1.103735e+04, -5.965354e+04, -1.534971e+05, +1.239554e+05

Timing offsets (from input data):
    UK001L: -0.000298 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:21:33.267913 UTC
  Lon     = +-3.862251 +/- 0.0011 deg
  Lat     = +53.644152 +/- 0.0003 deg
  Lat geo = +53.463298 +/- 0.0003 deg
  Ht      =  107600.32 +/- 67.30 m

  JD dynamic   = 2459436.599102452863 
  LST apparent = 350.3164511361 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.31522 +/- 0.7616 deg
  Dec       = +60.69055 +/- 0.5268 deg
  Azimuth   =  54.05213 +/- 0.9503 deg
  Elevation = +60.30887 +/- 0.4393 deg
  Vavg      =  55.10082 +/- 0.0675 km/s
  Vinit     =  58.93869 +/- 0.0858 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.63273 +/- 0.7616 deg
  Dec       = +60.49545 +/- 0.5268 deg
  Azimuth   =  54.37333 +/- 0.9503 deg
  Elevation = +60.11676 +/- 0.4393 deg
  Vavg      =  55.21405 +/- 0.0675 km/s
  Vinit     =  59.05192 +/- 0.0858 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.43645 +/- 0.7643 deg
  Dec    = +60.55243 +/- 0.5323 deg
  Vg     =  57.88432 +/- 0.0874 km/s
  Vinf   =  58.93869 +/- 0.0858 km/s
  Zc     =  29.79763 +/- 0.4381 deg
  Zg     =  30.07279 +/- 0.4430 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.67760 +/- 0.4326 deg
  Bg     = +41.27225 +/- 0.5689 deg
  Vh     =  41.72635 +/- 0.3318 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.02492 +/- 1.0353 deg
  Bh     = +66.21994 +/- 0.6807 deg
  Vh_x   =  -0.28632 +/- 0.3120 km/s
  Vh_y   = -16.82275 +/- 0.3243 km/s
  Vh_z   = -38.18379 +/- 0.4936 km/s
Orbit:
  La Sun = 137.403448 +/- 0.0000 deg
  a      =  97.062714 +/- 23.0482 AU
  e      =   0.990308 +/- 0.0285
  i      = 108.231830 +/- 0.6375 deg
  peri   = 148.778029 +/- 1.3915 deg
  node   = 137.403686 +/- 0.0000 deg
  Pi     = 286.181715 +/- 1.3915 deg
  q      =   0.940691 +/- 0.0057 AU
  f      =  31.218338 +/- 1.3915 deg
  M      =   0.022208 +/- 0.2899 deg
  Q      = 193.184737 +/- 46.0940 AU
  n      =   0.001031 +/- 0.0116 deg/day
  T      = 956.267251 +/- 238.7478 years
  Last perihelion JD = 2459415.051814 (2021-07-19 13:14:36.731984) +/- 0.9807 days
  Tj     =  -0.321690 +/- 0.1513
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.450792e-04, +9.443394e-05, +2.262953e-02, +2.225674e-08, +4.892298e-04, -3.290801e-04
q   , +9.443394e-05, +3.487107e-05, +5.643626e-03, +2.593742e-09, +1.451060e-04, -3.829253e-05
Tp  , +2.262953e-02, +5.643626e-03, +1.005558e+00, +6.101522e-07, +2.469443e-02, -9.012970e-03
node, +2.225674e-08, +2.593742e-09, +6.101522e-07, +5.887544e-13, +1.328776e-08, -8.702646e-09
peri, +4.892298e-04, +1.451060e-04, +2.469443e-02, +1.328776e-08, +6.197140e-04, -1.962376e-04
i   , -3.290801e-04, -3.829253e-05, -9.012970e-03, -8.702646e-09, -1.962376e-04, +1.286419e-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: UK002Z
  Avg. res. = 2.859e-06 s
  Stddev    = 1.69e-03 s

Begin point on the trajectory:
  Lon =    -3.862638 +/- 0.0011 deg
  Lat =    53.643986 +/- 0.0003 deg
  Ht  = 107544.00 +/- 35.06 m
End point on the trajectory:
  Lon =    -3.950554 +/- 0.0011 deg
  Lat =    53.606521 +/- 0.0006 deg
  Ht  = 94915.56 +/- 44.61 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   2.661997,  17.877720,   106839.67,    94915.56,          0.009577,      3.99,     47.13,              74.00, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_022131_803_0526592.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   107544.00,   100046.93,          0.013585,     34.66,     49.90,              89.68, 1.0000,    True,   False, {"ff_name": "FF_UK002Z_20210810_022127_976_0537088.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,     UK001L,       0,  0.022750, 2459436.598302004393, 233.63808,  46.01203,              319.55511,  20.89692,       319.55654,       20.89612,    233.63808,     +46.01203,     233.63583,      +46.01215,  3797802.47,  -648404.20,  5199300.44,      53.641902,       -3.867579,  106839.67,  284111.95,       0.00,              875.61,   249.48,      0.00,           57279.11,      7.73,      0.65,           5.63,  +2.75,  +0.48
  1,     UK001L,       0,  0.063030, 2459436.598302470520, 233.56441,  45.62981,              319.36472,  20.55483,       319.34397,       20.56645,    233.56441,     +45.62981,     233.59686,      +45.62815,  3797119.46,  -649094.76,  5197570.31,      53.636801,       -3.879581,  105116.14,  283548.01,    1984.13,             2859.74,  -140.44,  49258.33,           57279.11,   -111.62,     -9.46,          81.49,  +1.23,  -1.03
  2,     UK001L,       0,  0.103362, 2459436.598302937578, 233.54292,  45.13787,              319.07671,  20.14335,       319.07406,       20.14484,    233.54292,     +45.13787,     233.54736,      +45.13766,  3796250.28,  -649973.57,  5195368.58,      53.630304,       -3.894815,  102923.02,  282847.02,    4509.08,             5384.69,     7.39,  62604.24,           57279.11,    -14.28,     -1.21,          10.45,  +0.79,  -1.47
  3,     UK001L,       0,  0.143682, 2459436.598303404171, 233.50231,  44.67960,              318.82276,  19.75112,       318.82327,       19.75083,    233.50231,     +44.67960,     233.50203,      +44.67964,  3795442.66,  -650790.12,  5193322.80,      53.624261,       -3.908986,  100885.44,  282214.94,    6855.19,             7730.80,   -22.90,  58187.24,           57279.11,      2.76,      0.23,           2.03,  +0.49,  -1.76
  4,     UK001L,       0,  0.184010, 2459436.598303870764, 233.45823,  44.20883,              318.56507,  19.34657,       318.56687,       19.34557,    233.45823,     +44.20883,     233.45615,      +44.20897,  3794616.39,  -651625.53,  5191229.78,      53.618073,       -3.923486,   98801.01,  281586.94,    9255.47,            10131.08,     0.49,  59518.86,           57995.53,      9.69,      0.82,           7.12,  +0.63,  -1.62
  5,     UK001L,       0,  0.224302, 2459436.598304337356, 233.41415,  43.78875,              318.33957,  18.98312,       318.33891,       18.98349,    233.41415,     +43.78875,     233.41599,      +43.78870,  3793881.98,  -652368.07,  5189369.43,      53.612568,       -3.936397,   96948.45,  281045.64,   11388.93,            12264.54,  -240.80,  52950.07,           57479.83,     -3.53,     -0.30,           2.60,  +0.52,  -1.72
  6,     UK001L,       0,  0.264618, 2459436.598304803949, 233.38587,  43.32500,              318.07934,  18.58969,       318.08905,       18.58428,    233.38587,     +43.32500,     233.37224,      +43.32576,  3793075.99,  -653182.98,  5187327.78,      53.606521,       -3.950554,   94915.56,  280468.43,   13730.30,            14605.91,  -275.61,  58075.40,           57359.43,     52.10,      4.38,          38.45,  +0.90,  -1.34
  0,     UK002Z,       0,  0.000000, 2459436.598301711958, 275.19935,  21.41906,              274.32386,  23.77126,       274.33600,       23.76774,    275.19935,     +21.41906,     275.18764,      +21.42342,  3798081.58,  -648122.01,  5200007.44,      53.643986,       -3.862638,  107544.00,  256270.09,       0.00,               64.83,   779.54,      0.00,           53703.52,     42.81,    -29.74,          41.95,  +4.11,  +2.07
  1,     UK002Z,       0,  0.040284, 2459436.598302178085, 275.06175,  21.08537,              274.20031,  23.43217,       274.21882,       23.42681,    275.06175,     +21.08537,     275.04410,      +21.09203,  3797532.77,  -648676.88,  5198617.26,      53.639888,       -3.872314,  106159.07,  256245.71,    1594.26,             1659.09,    -0.48,  39575.64,           53703.52,     65.41,    -45.45,          64.11,  +2.62,  +0.58
  2,     UK002Z,       0,  0.080728, 2459436.598302646074, 274.80812,  20.58904,              274.05725,  22.89810,       274.03989,       22.90312,    274.80812,     +20.58904,     274.82496,      +20.58280,  3796689.25,  -649529.73,  5196480.55,      53.633586,       -3.887100,  104030.61,  256222.21,    4044.66,             4109.48,    66.19,  60587.24,           53703.52,    -61.57,     42.72,          60.33,  +1.20,  -0.84
  3,     UK002Z,       0,  0.121140, 2459436.598303114064, 274.62771,  20.08536,              273.85417,  22.40092,       273.86830,       22.39684,    274.62771,     +20.08536,     274.61457,      +20.09044,  3795874.22,  -650353.78,  5194416.00,      53.627490,       -3.901398,  101974.23,  256222.18,    6412.29,             6477.12,    52.00,  58587.44,           53703.52,     50.26,    -34.92,          49.27,  +1.05,  -0.99
  4,     UK002Z,       0,  0.161536, 2459436.598303581588, 274.41927,  19.62822,              273.70726,  21.92249,       273.70861,       21.92210,    274.41927,     +19.62822,     274.41856,      +19.62871,  3795110.29,  -651126.17,  5192480.87,      53.621772,       -3.914815,  100046.93,  256242.73,    8631.50,             8696.33,  -109.68,  54936.40,           54667.96,      4.79,     -3.33,           4.70,  +0.68,  -1.36

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.