Orbital Analysis for matched events on 20210810_001626.498_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.00° Bg 38.41° Vg 56.42km/s
mass 0.00784g, abs. mag 0.6
Path Details
------------
start 0.73° 53.12° 108.12km
end   0.64° 53.07° 100.37km

Orbit Details
-------------
Semimajor axis 4.19A.U., eccentricity 0.78, inclination 110.60°, Period 8.58Y, LA Sun 137.32°, last Perihelion 2021-07-12

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: 2459436.511417812202
Time: 2021-08-10 00:16:26.538725 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 27.62370 deg
 R.A. =  46.78870  Dec = +57.71359 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 27.62 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3138635.59 +/- 168.02 m
 Y =  -2317112.11 +/- 50.93 m
 Z =   5167457.98 +/- 175.13 m
 Vx =    20393.50 +/- 686.23 m/s
 Vy =    22320.64 +/- 464.87 m/s
 Vz =    48913.71 +/- 687.29 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.296286e+04, +9.678352e+03, +3.404734e+04, +1.324139e+05, +1.381926e+04, +8.868200e+04
+9.678352e+03, +3.023657e+03, +1.023297e+04, +3.817831e+04, +4.233367e+03, +2.523937e+04
+3.404734e+04, +1.023297e+04, +3.574496e+04, +1.365986e+05, +1.371890e+04, +9.174093e+04
+1.324139e+05, +3.817831e+04, +1.365986e+05, +6.097385e+05, +5.434986e+04, +3.991055e+05
+1.381926e+04, +4.233367e+03, +1.371890e+04, +5.434986e+04, +8.410888e+03, +3.367161e+04
+8.868200e+04, +2.523937e+04, +9.174093e+04, +3.991055e+05, +3.367161e+04, +2.658827e+05

Timing offsets (from input data):
    UK002K: -0.000828 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 00:16:26.538725 UTC
  Lon     = ++0.748203 +/- 0.0021 deg
  Lat     = +53.129961 +/- 0.0002 deg
  Lat geo = +52.948209 +/- 0.0003 deg
  Ht      =  110234.32 +/- 202.95 m

  JD dynamic   = 2459436.512219013181 
  LST apparent = 323.5632322716 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.58327 +/- 0.8541 deg
  Dec       = +58.27927 +/- 0.2055 deg
  Azimuth   =  48.26031 +/- 0.5851 deg
  Elevation = +45.50905 +/- 0.2911 deg
  Vavg      =  54.44882 +/- 0.7167 km/s
  Vinit     =  57.50354 +/- 0.6789 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.63892 +/- 0.8541 deg
  Dec       = +58.04007 +/- 0.2055 deg
  Azimuth   =  48.52818 +/- 0.5851 deg
  Elevation = +45.35825 +/- 0.2911 deg
  Vavg      =  54.59810 +/- 0.7167 km/s
  Vinit     =  57.65281 +/- 0.6789 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.88213 +/- 0.8732 deg
  Dec    = +57.96435 +/- 0.1986 deg
  Vg     =  56.42283 +/- 0.6914 km/s
  Vinf   =  57.50354 +/- 0.6789 km/s
  Zc     =  44.61211 +/- 0.2924 deg
  Zg     =  45.05806 +/- 0.3054 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.99966 +/- 0.6439 deg
  Bg     = +38.40918 +/- 0.0620 deg
  Vh     =  39.22437 +/- 0.5134 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  88.83452 +/- 2.1544 deg
  Bh     = +63.34291 +/- 0.1470 deg
  Vh_x   =  -0.35794 +/- 0.7082 km/s
  Vh_y   = -17.59437 +/- 0.2504 km/s
  Vh_z   = -35.05512 +/- 0.4197 km/s
Orbit:
  La Sun = 137.320093 +/- 0.0000 deg
  a      =   4.191569 +/- 2.1052 AU
  e      =   0.782541 +/- 0.0415
  i      = 110.601023 +/- 0.6845 deg
  peri   = 140.371118 +/- 2.5878 deg
  node   = 137.319485 +/- 0.0001 deg
  Pi     = 277.690602 +/- 2.5877 deg
  q      =   0.911492 +/- 0.0098 AU
  f      =  39.624939 +/- 2.5878 deg
  M      =   3.236109 +/- 0.8200 deg
  Q      =   7.471646 +/- 4.2011 AU
  n      =   0.114852 +/- 0.0276 deg/day
  T      =   8.581547 +/- 8.5463 years
  Last perihelion JD = 2459408.335918 (2021-07-12 20:03:43.296690) +/- 1.9008 days
  Tj     =   0.848403 +/- 0.2610
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.061158e-03, +4.947757e-04, +9.545278e-02, -4.429596e-08, +2.269814e-03, +5.923512e-04
q   , +4.947757e-04, +1.206468e-04, +2.315867e-02, -1.079936e-08, +5.517622e-04, +1.444868e-04
Tp  , +9.545278e-02, +2.315867e-02, +4.452597e+00, -2.072364e-06, +1.060186e-01, +2.772215e-02
node, -4.429596e-08, -1.079936e-08, -2.072364e-06, +9.915745e-13, -4.938123e-08, -1.326818e-08
peri, +2.269814e-03, +5.517622e-04, +1.060186e-01, -4.938123e-08, +2.524969e-03, +6.606125e-04
i   , +5.923512e-04, +1.444868e-04, +2.772215e-02, -1.326818e-08, +6.606125e-04, +1.775454e-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: UK0032
  Avg. res. = 9.592e-06 s
  Stddev    = 3.10e-03 s

Begin point on the trajectory:
  Lon =     0.725390 +/- 0.0014 deg
  Lat =    53.117714 +/- 0.0001 deg
  Ht  = 108115.70 +/- 139.67 m
End point on the trajectory:
  Lon =     0.641107 +/- 0.0010 deg
  Lat =    53.072815 +/- 0.0000 deg
  Ht  = 100372.36 +/- 98.02 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.009984,  43.820778,   107656.88,   101424.20,          0.005490,     12.79,      1.33,              45.84, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_001619_330_0349696.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.028556,  35.968858,   108115.70,   100372.36,          0.021025,     39.88,     15.00,              22.24, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_001616_615_0355840.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,     UK002K,       0,  0.050397, 2459436.511418404989, 358.90275,  24.65176,              122.17829,  50.33628,       122.17590,       50.33289,    358.90275,     +24.65176,     358.90643,      +24.64978,  3137354.00, -2318514.80,  5164384.10,      53.115059,       +0.720401,  107656.88,  139023.30,       0.00,             3613.70,   384.32,      0.00,           54854.65,      0.93,      8.98,          13.40,  +3.11,  +2.39
  1,     UK002K,       0,  0.090593, 2459436.511418870650, 358.55375,  24.14764,              123.02625,  50.08990,       123.02529,       50.08859,    358.55375,     +24.14764,     358.55548,      +24.14687,  3136670.62, -2319262.76,  5162745.02,      53.107106,       +0.705433,  106282.91,  137733.08,    1926.91,             5540.61,    -0.17,  47937.96,           54854.65,      0.36,      3.48,           5.23,  +1.77,  +1.07
  2,     UK002K,       0,  0.130825, 2459436.511419336312, 358.14122,  23.54671,              124.02482,  49.78915,       124.02480,       49.78912,    358.14122,     +23.54671,     358.14179,      +23.54670,  3135873.00, -2320135.75,  5160831.93,      53.097817,       +0.687989,  104679.59,  136247.37,    4175.97,             7789.67,   -64.60,  55902.14,           54854.65,      0.01,      0.06,           0.09,  +1.38,  +0.71
  3,     UK002K,       0,  0.171077, 2459436.511419801973, 357.68327,  22.88527,              125.11837,  49.45337,       125.11435,       49.44813,    357.68327,     +22.88527,     357.68940,      +22.88220,  3135011.31, -2321078.88,  5158765.15,      53.087773,       +0.669157,  102947.88,  134666.80,    6605.69,            10219.39,    50.49,  60362.81,           54854.65,      1.42,     13.68,          21.07,  +1.54,  +0.89
  4,     UK002K,       0,  0.211309, 2459436.511420267634, 357.27558,  22.28874,              126.08896,  49.14203,       126.08195,       49.13311,    357.27558,     +22.28874,     357.28571,      +22.28349,  3134252.95, -2321908.90,  5156946.23,      53.078927,       +0.652561,  101424.20,  133296.37,    8744.04,            12357.74,  -124.65,  53150.41,           55099.69,      2.40,     23.20,          36.09,  +1.54,  +0.92
  5,     UK002K,       1,  0.251525, 2459436.511420733295, 356.94037,  21.75840,              126.91139,  48.84767,       126.91537,       48.85264,    356.94037,     +21.75840,     356.93626,      +21.76132,  3133604.75, -2322618.34,  5155391.55,      53.071361,       +0.638352,  100122.11,  132140.47,   10571.75,            14185.44,  -609.50,  45447.25,           53791.28,     -1.34,    -12.89,          20.23,  +4.68,  +4.07
  0,     UK0032,       1,  0.000000, 2459436.511417812202,   7.73151,  52.67133,               72.38505,  63.29451,        72.26953,       63.35387,      7.73151,     +52.67133,       7.66633,      +52.73955,  3138644.22, -2317102.66,  5167478.69,      53.130061,       +0.748556,  110251.68,  123082.30,       0.00,               24.34,  -307.02,      0.00,           59203.78,     58.96,   -158.73,         283.76,  +5.32,  +4.87
  1,     UK0032,       0,  0.039756, 2459436.511418272275,   6.89447,  52.43825,               73.24895,  63.70036,        73.20658,       63.72236,      6.89447,     +52.43825,       6.87050,      +52.46314,  3137582.18, -2318265.06,  5164931.38,      53.117714,       +0.725390,  108115.70,  120324.69,    2994.65,             2970.31,   352.84,  75325.67,           59203.78,     21.28,    -56.86,         104.08,  +4.85,  +4.45
  2,     UK0032,       0,  0.079616, 2459436.511418733746,   6.38700,  52.27267,               73.83286,  63.93935,        73.80715,       63.95282,      6.38700,     +52.27267,       6.37256,      +52.28775,  3136938.19, -2318969.91,  5163386.78,      53.110221,       +0.711277,  106820.84,  118656.43,    4810.49,             4786.15,  -123.40,  45555.58,           59203.78,     12.78,    -34.08,          63.28,  +1.99,  +1.62
  3,     UK0032,       0,  0.119404, 2459436.511419194285,   5.66765,  52.06143,               74.62169,  64.28676,        74.65893,       64.26705,      5.66765,     +52.06143,       5.68975,      +52.03966,  3136072.72, -2319917.16,  5161310.96,      53.100143,       +0.692366,  105081.02,  116423.28,    7250.85,             7226.51,    29.00,  61333.96,           59203.78,    -18.29,     48.47,          91.78,  +1.28,  +0.95
  4,     UK0032,       0,  0.159248, 2459436.511419655290,   5.03825,  51.79895,               75.49367,  64.56576,        75.49570,       64.56466,      5.03825,     +51.79895,       5.04011,      +51.79776,  3135270.97, -2320794.67,  5159387.96,      53.090800,       +0.674834,  103469.67,  114361.95,    9511.55,             9487.21,    -1.47,  56738.76,           58468.12,     -0.99,      2.62,           5.04,  +1.26,  +0.97
  5,     UK0032,       0,  0.199052, 2459436.511420115829,   4.31783,  51.53417,               76.43013,  64.89739,        76.44575,       64.88882,      4.31783,     +51.53417,       4.32802,      +51.52502,  3134413.98, -2321732.65,  5157332.47,      53.080806,       +0.656104,  101747.72,  112167.66,   11928.01,            11903.67,   126.12,  60709.12,           58578.11,     -7.49,     19.85,          39.01,  +1.52,  +1.27
  6,     UK0032,       0,  0.238884, 2459436.511420576833,   3.71929,  51.31955,               77.20961,  65.17509,        77.24857,       65.15340,      3.71929,     +51.31955,       3.74389,      +51.29674,  3133729.34, -2322481.99,  5155690.36,      53.072815,       +0.641107,  100372.36,  110420.57,   13858.50,            13834.16,  -233.87,  48465.73,           57533.42,    -18.51,     48.97,          97.80,  +2.44,  +2.22
  7,     UK0032,       1,  0.278720, 2459436.511421038304,   3.12728,  51.09342,               78.02416,  65.44516,        78.07533,       65.41622,      3.12728,     +51.09342,       3.15986,      +51.06340,  3133059.35, -2323215.28,  5154083.41,      53.064991,       +0.626426,   99026.71,  108716.98,   15747.65,            15723.31,  -635.43,  47423.14,           56255.21,    -24.14,     63.75,         129.33,  +5.96,  +5.78

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.