Orbital Analysis for matched events on 20210816_025507.793_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 69.30° Bg 36.45° Vg 58.16km/s
mass 0.01887g, abs. mag -0.7
Path Details
------------
start -2.92° 52.51° 106.16km
end   -2.99° 52.49° 96.86km

Orbit Details
-------------
Semimajor axis 5.65A.U., eccentricity 0.84, inclination 114.21°, Period 13.43Y, LA Sun 143.19°, last Perihelion 2021-07-18

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459442.621617982630
Time: 2021-08-16 02:55:07.793699 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK0020
 Convergence angle = 66.88224 deg
 R.A. =  56.47163  Dec = +58.10611 deg
Intersection 2 - Stations: UK001L and UK003F
 Convergence angle = 22.13389 deg
 R.A. =  58.74671  Dec = +55.90774 deg
Intersection 3 - Stations: UK0020 and UK003F
 Convergence angle = 44.77568 deg
 R.A. =  58.03909  Dec = +59.18117 deg

Best intersection: Stations UK001L and UK0020 with Qconv = 66.88 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3935924.02 +/- 30.17 m
 Y =    384919.38 +/- 53.15 m
 Z =   5121952.58 +/- 80.20 m
 Vx =    16801.54 +/- 432.01 m/s
 Vy =    26779.67 +/- 615.67 m/s
 Vz =    50059.63 +/- 591.44 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.588518e+02, +4.732224e+02, -4.593766e+02, +7.653304e+03, +7.262402e+02, -7.787168e+03
+4.732224e+02, +2.687086e+03, -6.553330e+02, +2.147965e+03, +1.287824e+04, -2.244100e+04
-4.593766e+02, -6.553330e+02, +4.290795e+03, -1.046313e+04, -8.022086e+03, +2.216261e+04
+7.653304e+03, +2.147965e+03, -1.046313e+04, +1.033569e+05, +1.960598e+04, -1.183413e+05
+7.262402e+02, +1.287824e+04, -8.022086e+03, +1.960598e+04, +8.025390e+04, -1.440463e+05
-7.787168e+03, -2.244100e+04, +2.216261e+04, -1.183413e+05, -1.440463e+05, +3.289951e+05

Timing offsets (from input data):
    UK001L: -0.000040 s
    UK0020: -0.000444 s
    UK003F: 0.000000 s
    UK003G: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 02:55:07.793699 UTC
  Lon     = +-2.923772 +/- 0.0008 deg
  Lat     = +52.510932 +/- 0.0006 deg
  Lat geo = +52.327979 +/- 0.0006 deg
  Ht      =  106249.83 +/- 59.40 m

  JD dynamic   = 2459442.622418723535 
  LST apparent = 5.5855617360 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.89587 +/- 0.5212 deg
  Dec       = +57.72652 +/- 0.5618 deg
  Azimuth   =  58.83447 +/- 1.1265 deg
  Elevation = +60.40869 +/- 0.2899 deg
  Vavg      =  54.77863 +/- 0.3126 km/s
  Vinit     =  59.20649 +/- 0.3455 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  58.21312 +/- 0.5212 deg
  Dec       = +57.53978 +/- 0.5618 deg
  Azimuth   =  59.12449 +/- 1.1265 deg
  Elevation = +60.20115 +/- 0.2899 deg
  Vavg      =  54.90106 +/- 0.3126 km/s
  Vinit     =  59.32892 +/- 0.3455 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.95334 +/- 0.5249 deg
  Dec    = +57.60354 +/- 0.5670 deg
  Vg     =  58.15683 +/- 0.3516 km/s
  Vinf   =  59.20649 +/- 0.3455 km/s
  Zc     =  29.68637 +/- 0.2888 deg
  Zg     =  29.95798 +/- 0.2930 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  69.30413 +/- 0.3612 deg
  Bg     = +36.44594 +/- 0.5589 deg
  Vh     =  39.93890 +/- 0.5753 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  92.34955 +/- 0.7820 deg
  Bh     = +59.88784 +/- 0.5104 deg
  Vh_x   =   0.82144 +/- 0.2787 km/s
  Vh_y   = -20.02028 +/- 0.1203 km/s
  Vh_z   = -34.54895 +/- 0.6694 km/s
Orbit:
  La Sun = 143.187087 +/- nan deg
  a      =   5.651153 +/- 129.6681 AU
  e      =   0.840514 +/- 0.0485
  i      = 114.212523 +/- 0.5226 deg
  peri   = 139.388229 +/- 1.4759 deg
  node   = 143.187266 +/- 0.0000 deg
  Pi     = 282.575495 +/- 1.4760 deg
  q      =   0.901278 +/- 0.0056 AU
  f      =  40.608286 +/- 1.4759 deg
  M      =   2.064467 +/- nan deg
  Q      =  10.401027 +/- 259.3379 AU
  n      =   0.073367 +/- 0.0182 deg/day
  T      =  13.434027 +/- 442216107.7052 years
  Last perihelion JD = 2459414.483372 (2021-07-18 23:36:03.328734) +/- 1.0138 days
  Tj     =   0.457834 +/- 0.2751
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.128666e-03, +1.273842e-04, +4.462987e-02, +2.776691e-08, +8.442285e-04, -4.223999e-04
q   , +1.273842e-04, +2.527865e-05, +4.677171e-03, +1.632131e-09, +1.111844e-04, -2.469953e-05
Tp  , +4.462987e-02, +4.677171e-03, +1.164376e+00, +5.790253e-07, +2.460439e-02, -8.793190e-03
node, +2.776691e-08, +1.632131e-09, +5.790253e-07, +3.625809e-13, +1.091431e-08, -5.515763e-09
peri, +8.442285e-04, +1.111844e-04, +2.460439e-02, +1.091431e-08, +5.434210e-04, -1.655815e-04
i   , -4.223999e-04, -2.469953e-05, -8.793190e-03, -5.515763e-09, -1.655815e-04, +8.390993e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.008241
 a2 = 57.776377

Mean time residuals from time vs. length:
  Station with reference time: UK003F
  Avg. res. = 5.262e-06 s
  Stddev    = 2.29e-03 s

Begin point on the trajectory:
  Lon =    -2.924386 +/- 0.0006 deg
  Lat =    52.510706 +/- 0.0006 deg
  Ht  = 106162.52 +/- 55.72 m
End point on the trajectory:
  Lon =    -2.990779 +/- 0.0003 deg
  Lat =    52.486487 +/- 0.0005 deg
  Ht  = 96862.07 +/- 23.91 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,   0.987887,  31.731419,   105831.57,    97932.42,          0.023571,     32.82,     60.62,              66.44, 0.8403,    True,    True, {"ff_name": "FF_UK001L_20210816_025506_963_0613376.fits"}
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   104701.94,    96943.12,          0.019887,     49.33,     63.25,              44.07, 0.4838,    True,    True, {"ff_name": "FF_UK0020_20210816_025506_541_0607232.fits"}
    UK003F,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   106162.52,    96862.07,          0.009140,      3.20,     29.03,              58.09, 0.7206,    True,    True, {"ff_name": "FF_UK003F_20210816_025504_820_0614144.fits"}
    UK003G,    True,    -1.802002,    51.351948,  130.00, 2971.029569,   4.200267,   107978.33,   101332.64,          0.655065,       nan,       nan,              58.09, 0.0000,    True,    True, {"ff_name": "FF_UK003G_20210816_025505_478_0614144.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,  0.007970, 2459442.621618075296, 281.09916,  48.49883,              302.85040,  38.09912,       302.82365,       38.11043,    281.09916,     +48.49883,     281.13232,      +48.48940,  3935787.52,   384701.82,  5121545.89,      52.509846,       -2.926750,  105831.57,  169143.60,       0.00,              480.99,   239.15,      0.00,           57731.42,    -62.05,     33.54,          86.01,  +2.61,  +1.47
  1,     UK001L,       0,  0.048346, 2459442.621618542820, 280.78147,  47.88477,              302.41202,  37.54956,       302.43584,       37.53950,    280.78147,     +47.88477,     280.75229,      +47.89311,  3935207.10,   383776.71,  5119816.56,      52.505223,       -2.939443,  104053.10,  168394.39,    2045.31,             2526.30,  -106.06,  50656.55,           57731.42,     55.29,    -29.95,          77.02,  +0.92,  -0.21
  2,     UK001L,       0,  0.088850, 2459442.621619011275, 280.32295,  47.13842,              301.93360,  36.83702,       301.96064,       36.82564,    280.32295,     +47.13842,     280.29014,      +47.14782,  3934489.71,   382633.26,  5117679.10,      52.499504,       -2.955097,  101855.11,  167496.54,    4573.32,             5054.32,    23.86,  62413.97,           57731.42,     62.85,    -34.05,          88.03,  +0.37,  -0.75
  3,     UK001L,       0,  0.129330, 2459442.621619480196, 279.90161,  46.42954,              301.48765,  36.16083,       301.51862,       36.14783,    279.90161,     +46.42954,     279.86431,      +46.44024,  3933817.29,   381561.50,  5115675.65,      52.494137,       -2.969787,   99795.12,  166686.04,    6942.85,             7423.84,    -3.30,  58535.68,           57731.42,     72.11,    -39.07,         101.49,  +0.16,  -0.95
  4,     UK001L,       0,  0.169774, 2459442.621619948186, 279.50964,  45.78583,              301.10101,  35.53633,       301.12165,       35.52768,    279.50964,     +45.78583,     279.48524,      +45.79291,  3933209.21,   380592.30,  5113863.91,      52.489280,       -2.983092,   97932.42,  165979.69,    9085.63,             9566.62,  -255.07,  52981.33,           57018.20,     48.11,    -26.06,          67.99,  -0.23,  -1.33
  5,     UK001L,       1,  0.210158, 2459442.621620415710, 279.18845,  45.21216,              300.75088,  34.99039,       300.77647,       34.97969,    279.18845,     +45.21216,     279.15830,      +45.22090,  3932677.37,   379744.61,  5112279.30,      52.485029,       -2.994754,   96303.36,  165383.29,   10959.77,            11440.77,  -771.92,  46408.19,           55301.69,     59.75,    -32.37,          84.75,  +4.11,  +3.02
  0,     UK0020,       0,  0.037877, 2459442.621618425939, 162.10850,  63.76406,               11.01293,  25.85140,        11.04539,       25.83411,    162.10850,     +63.76406,     162.05584,      +63.73943,  3935418.86,   384114.22,  5120447.49,      52.506910,       -2.934831,  104701.94,  232477.74,       0.00,             1780.10,  -232.40,      0.00,           56406.69,    108.63,     84.68,         122.21,  +3.95,  +2.12
  1,     UK0020,       0,  0.118669, 2459442.621619361453, 163.53888,  63.11326,               10.52069,  25.05452,        10.52816,       25.05055,    163.53888,     +63.11326,     163.52715,      +63.10769,  3933973.57,   381810.60,  5116141.30,      52.495385,       -2.966369,  100273.89,  228935.21,    5093.01,             6873.11,    77.20,  63038.56,           56406.69,     24.73,     19.29,          28.26,  +1.32,  -0.48
  2,     UK0020,       0,  0.159041, 2459442.621619828511, 164.16997,  62.79479,               10.30299,  24.67405,        10.28749,       24.68227,    164.16997,     +62.79479,     164.19604,      +62.80624,  3933310.38,   380753.55,  5114165.33,      52.490089,       -2.980863,   98242.31,  227329.37,    7430.03,             9210.13,    23.93,  57887.01,           56406.69,    -50.99,    -39.83,          58.71,  +1.09,  -0.69
  3,     UK0020,       0,  0.199281, 2459442.621620294172, 164.60712,  62.60284,               10.14099,  24.43881,        10.13140,       24.44389,    164.60712,     +62.60284,     164.62369,      +62.60988,  3932886.24,   380077.53,  5112901.64,      52.486699,       -2.990196,   96943.12,  226308.41,    8924.62,            10704.72,  -863.94,  37142.07,           56406.69,    -31.45,    -24.55,          36.36,  +4.29,  +2.52
  0,     UK003F,       0,  0.000000, 2459442.621617982630, 250.77666,  62.22850,              329.51203,  34.31809,       329.52930,       34.30813,    250.77666,     +62.22850,     250.73967,      +62.23090,  3935895.52,   384873.96,  5121867.68,      52.510706,       -2.924386,  106162.52,  184935.40,       0.00,              100.41,   330.47,      0.00,           54721.90,     55.82,     -6.16,          62.64,  +4.34,  +3.00
  1,     UK003F,       0,  0.040428, 2459442.621618450619, 250.58046,  61.67891,              329.14429,  33.85139,       329.14350,       33.85185,    250.58046,     +61.67891,     250.58230,      +61.67880,  3935310.27,   383941.14,  5120123.95,      52.506045,       -2.937183,  104369.21,  183906.33,    2062.34,             2162.76,    -0.79,  51012.74,           54721.90,     -2.56,      0.28,           2.89,  +1.95,  +0.63
  2,     UK003F,       0,  0.080928, 2459442.621618919075, 250.40150,  61.02835,              328.69531,  33.31225,       328.69459,       33.31266,    250.40150,     +61.02835,     250.40332,      +61.02825,  3934628.63,   382854.68,  5118093.01,      52.500612,       -2.952065,  102280.72,  182729.11,    4464.37,             4564.78,     3.37,  59309.33,           54721.90,     -2.29,      0.25,           2.60,  +0.94,  -0.37
  3,     UK003F,       0,  0.121372, 2459442.621619387530, 250.25810,  60.44736,              328.29465,  32.83294,       328.29872,       32.83061,    250.25810,     +60.44736,     250.25028,      +60.44790,  3934028.34,   381897.90,  5116304.47,      52.495822,       -2.965196,  100441.66,  181713.09,    6579.71,             6680.12,  -275.84,  52302.85,           54721.90,     13.06,     -1.44,          14.92,  +0.42,  -0.88
  4,     UK003F,       0,  0.161944, 2459442.621619856916, 250.07555,  59.70300,              327.79052,  32.21512,       327.79815,       32.21077,    250.07555,     +59.70300,     250.06091,      +59.70399,  3933267.93,   380685.90,  5114038.87,      52.489750,       -2.981791,   98112.30,  180452.20,    9259.28,             9359.69,     1.61,  66044.82,           56903.84,     24.38,     -2.69,          28.04,  +0.23,  -1.05
  5,     UK003F,       0,  0.202260, 2459442.621620323509, 249.98357,  59.29761,              327.51709,  31.87926,       327.52778,       31.87318,    249.98357,     +59.29761,     249.96318,      +59.29899,  3932859.78,   380035.35,  5112822.79,      52.486487,       -2.990779,   96862.07,  179790.74,   10697.56,            10797.97,  -947.08,  35675.27,           54506.48,     34.09,     -3.77,          39.35,  +3.04,  +1.77
  0,     UK003G,       1,  0.088875, 2459442.621619011275, 252.39165,  62.67523,              329.22658,  35.15616,       329.90772,       34.76020,    252.39165,     +62.67523,     250.91417,      +62.77411,  3936488.08,   385818.43,  5123633.19,      52.515421,       -2.911977,  107978.33,  186010.46,       0.00,             1987.69, -3044.26,      0.00,           62082.98,   2205.13,   -272.37,        2463.89,  +2.75,  +1.40
  1,     UK003G,       1,  0.129267, 2459442.621619478799, 252.07693,  61.87589,              328.68110,  34.47806,       329.34147,       34.09580,    252.07693,     +61.87589,     250.67606,      +61.96953,  3935626.03,   384444.43,  5121064.75,      52.508560,       -2.930741,  105336.66,  184472.94,    3037.75,             1050.05, -6373.36,  75206.63,           62082.98,   2128.79,   -262.03,        2398.28,  +0.84,  -0.49
  2,     UK003G,       1,  0.169555, 2459442.621619944926, 251.83919,  61.31311,              328.31362,  33.99101,       328.94662,       33.62570,    251.83919,     +61.31311,     250.51670,      +61.40140,  3935026.94,   383489.55,  5119279.78,      52.503787,       -2.943837,  103500.98,  183428.06,    5148.86,             3161.17, -6647.56,  52400.55,           62082.98,   2034.85,   -249.39,        2305.36,  +0.64,  -0.68
  3,     UK003G,       1,  0.209891, 2459442.621620411985, 251.60241,  60.63753,              327.86221,  33.41779,       328.48069,       33.06205,    251.60241,     +60.63753,     250.33295,      +60.72222,  3934319.22,   382361.53,  5117171.15,      52.498144,       -2.959284,  101332.64,  182216.75,    7642.77,             5655.08, -6541.80,  61828.53,           62082.98,   1981.77,   -242.32,        2260.07,  +0.37,  -0.93

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.