Orbital Analysis for matched events on 20210810_001903.614_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.43° Bg 41.46° Vg 54.46km/s
mass 0.02672g, abs. mag -0.4
Path Details
------------
start 0.45° 50.97° 106.21km
end   0.36° 50.91° 97.21km

Orbit Details
-------------
Semimajor axis 4.90A.U., eccentricity 0.82, inclination 103.92°, Period 10.86Y, LA Sun 137.32°, last Perihelion 2021-07-10

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: 2459436.513236282859
Time: 2021-08-10 00:19:03.626869 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002C
 Convergence angle = 3.78770 deg
 R.A. =  66.81741  Dec = +68.41942 deg
Intersection 2 - Stations: UK002B and UK002N
 Convergence angle = 26.75190 deg
 R.A. =  52.90859  Dec = +62.23361 deg
Intersection 3 - Stations: UK002C and UK002N
 Convergence angle = 23.01152 deg
 R.A. =  50.22750  Dec = +61.57838 deg

Best intersection: Stations UK002B and UK002N with Qconv = 26.75 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3306680.42 +/- 231.30 m
 Y =  -2409355.03 +/- 46.14 m
 Z =   5014460.79 +/- 122.77 m
 Vx =    15992.48 +/- 1342.02 m/s
 Vy =    20316.04 +/- 620.08 m/s
 Vz =    49204.07 +/- 1262.39 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.009984e+04, +6.948347e+03, +1.869376e+04, +2.073150e+05, +4.494424e+04, +1.049189e+05
+6.948347e+03, +1.984088e+03, +4.016421e+03, +3.277834e+04, +8.693152e+03, +1.605462e+04
+1.869376e+04, +4.016421e+03, +1.184765e+04, +8.447501e+04, +1.346806e+04, +4.415858e+04
+2.073150e+05, +3.277834e+04, +8.447501e+04, +1.384606e+06, +3.547058e+05, +6.910551e+05
+4.494424e+04, +8.693152e+03, +1.346806e+04, +3.547058e+05, +1.311717e+05, +1.668404e+05
+1.049189e+05, +1.605462e+04, +4.415858e+04, +6.910551e+05, +1.668404e+05, +3.573373e+05

Timing offsets (from input data):
    UK002B: -0.000476 s
    UK002C: -0.000345 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 00:19:03.626869 UTC
  Lon     = ++0.450345 +/- 0.0024 deg
  Lat     = +50.973942 +/- 0.0006 deg
  Lat geo = +50.788656 +/- 0.0006 deg
  Ht      =  106462.08 +/- 193.05 m

  JD dynamic   = 2459436.514037162997 
  LST apparent = 323.9217003812 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.79071 +/- 1.9832 deg
  Dec       = +62.27931 +/- 0.6424 deg
  Azimuth   =  40.51515 +/- 1.3696 deg
  Elevation = +44.31378 +/- 0.5334 deg
  Vavg      =  54.66102 +/- 1.0867 km/s
  Vinit     =  55.58364 +/- 1.0960 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  51.81502 +/- 1.9832 deg
  Dec       = +62.00794 +/- 0.6424 deg
  Azimuth   =  40.84032 +/- 1.3696 deg
  Elevation = +44.17410 +/- 0.5334 deg
  Vavg      =  54.80033 +/- 1.0867 km/s
  Vinit     =  55.72295 +/- 1.0960 km/s
Radiant (geocentric, J2000):
  R.A.   =  52.26002 +/- 2.0328 deg
  Dec    = +61.96970 +/- 0.6281 deg
  Vg     =  54.46434 +/- 1.1189 km/s
  Vinf   =  55.58364 +/- 1.0960 km/s
  Zc     =  45.82720 +/- 0.5359 deg
  Zg     =  46.31986 +/- 0.5616 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.43083 +/- 1.4456 deg
  Bg     = +41.45684 +/- 0.3506 deg
  Vh     =  39.61379 +/- 0.5676 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 104.28858 +/- 4.8694 deg
  Bh     = +65.54376 +/- 0.3856 deg
  Vh_x   =   4.04762 +/- 1.3270 km/s
  Vh_y   = -15.89270 +/- 0.5839 km/s
  Vh_z   = -36.05955 +/- 0.5588 km/s
Orbit:
  La Sun = 137.321837 +/- 0.0000 deg
  a      =   4.902805 +/- 1.3378 AU
  e      =   0.820893 +/- 0.0386
  i      = 103.924280 +/- 1.8071 deg
  peri   = 134.684270 +/- 4.3067 deg
  node   = 137.321714 +/- 0.0001 deg
  Pi     = 272.005984 +/- 4.3066 deg
  q      =   0.878126 +/- 0.0215 AU
  f      =  45.311967 +/- 4.3068 deg
  M      =   2.809475 +/- 1.4660 deg
  Q      =   8.927484 +/- 2.6576 AU
  n      =   0.090790 +/- 0.0352 deg/day
  T      =  10.855943 +/- 4.8429 years
  Last perihelion JD = 2459405.569213 (2021-07-10 01:39:40.041513) +/- 2.6037 days
  Tj     =   0.794717 +/- 0.3007
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.179818e-03, +5.960603e-04, +7.575294e-02, -6.333993e-08, +2.135889e-03, +9.342083e-04
q   , +5.960603e-04, +3.294968e-04, +4.061535e-02, -3.299783e-08, +1.163789e-03, +4.879922e-04
Tp  , +7.575294e-02, +4.061535e-02, +5.060018e+00, -4.159426e-06, +1.441643e-01, +6.144816e-02
node, -6.333993e-08, -3.299783e-08, -4.159426e-06, +3.694244e-12, -1.177613e-07, -5.450753e-08
peri, +2.135889e-03, +1.163789e-03, +1.441643e-01, -1.177613e-07, +4.119972e-03, +1.740699e-03
i   , +9.342083e-04, +4.879922e-04, +6.144816e-02, -5.450753e-08, +1.740699e-03, +8.043324e-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: UK002N
  Avg. res. = 9.418e-07 s
  Stddev    = 9.70e-04 s

Begin point on the trajectory:
  Lon =     0.448007 +/- 0.0030 deg
  Lat =    50.972214 +/- 0.0001 deg
  Ht  = 106211.15 +/- 258.41 m
End point on the trajectory:
  Lon =     0.363063 +/- 0.0020 deg
  Lat =    50.910080 +/- 0.0001 deg
  Ht  = 97210.37 +/- 131.25 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   106211.15,    97210.37,          0.014116,     24.33,     30.76,              30.67, 0.2602,    True,    True, {"ff_name": "FF_UK002B_20210810_001904_010_0366592.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   105547.37,    99251.26,          0.012635,     29.12,     31.39,              49.82, 0.5838,    True,    True, {"ff_name": "FF_UK002C_20210810_001855_602_0359936.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   105268.29,    97609.24,          0.017267,     36.13,     16.42,              46.27, 0.5222,    True,    True, {"ff_name": "FF_UK002N_20210810_001855_571_0367104.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,     UK002B,       0,  0.010746, 2459436.513236422092,  30.50723,  33.85300,               81.52694,  38.67636,        81.52493,       38.67253,     30.50723,     +33.85300,      30.51199,      +33.85166,  3306577.08, -2409486.32,  5014142.83,      50.972214,       +0.448007,  106211.15,  167821.43,       0.00,              359.19,   356.84,      0.00,           53171.71,      9.51,      7.51,          14.89,  +3.18,  +2.06
  1,     UK002B,       0,  0.050802, 2459436.513236885890,  30.36738,  33.54285,               81.92350,  38.55918,        81.91767,       38.54820,     30.36738,     +33.54285,      30.38110,      +33.53901,  3306045.00, -2410162.24,  5012505.78,      50.963317,       +0.435801,  104919.44,  166237.48,    1849.30,             2208.50,   -20.32,  46167.94,           53171.71,     27.07,     21.39,          42.81,  +2.04,  +0.94
  2,     UK002B,       0,  0.090882, 2459436.513237349689,  30.21261,  33.15371,               82.40533,  38.39836,        82.40190,       38.39198,     30.21261,     +33.15371,      30.22083,      +33.15149,  3305400.28, -2410981.26,  5010522.18,      50.952530,       +0.421046,  103354.63,  164327.75,    4090.08,             4449.27,    -7.34,  55907.62,           53171.71,     15.59,     12.31,          24.93,  +1.59,  +0.51
  3,     UK002B,       0,  0.130954, 2459436.513237813488,  30.03942,  32.75499,               82.90805,  38.24172,        82.90070,       38.22822,     30.03942,     +32.75499,      30.05651,      +32.75030,  3304748.60, -2411809.12,  5008517.15,      50.941619,       +0.406134,  101773.30,  162406.23,    6355.08,             6714.27,    30.31,  56523.15,           53171.71,     32.65,     25.80,          52.86,  +1.50,  +0.45
  4,     UK002B,       0,  0.171038, 2459436.513238277286,  29.89628,  32.36954,               83.37537,  38.07408,        83.37342,       38.07056,     29.89628,     +32.36954,      29.90132,      +32.36832,  3304142.19, -2412579.48,  5006651.40,      50.931460,       +0.392245,  100302.15,  160625.71,    8462.74,             8821.93,   -90.04,  52581.08,           53479.88,      8.45,      6.68,          13.83,  +1.45,  +0.42
  5,     UK002B,       0,  0.211130, 2459436.513238741551,  29.71520,  31.90323,               83.94455,  37.87496,        83.94511,       37.87596,     29.71520,     +31.90323,      29.71487,      +31.90358,  3303423.00, -2413493.09,  5004438.69,      50.919403,       +0.375804,   98557.89,  158526.39,   10962.34,            11321.53,   181.10,  62346.61,           54835.20,     -2.38,     -1.88,           3.94,  +1.38,  +0.38
  6,     UK002B,       0,  0.251174, 2459436.513239204884,  29.53279,  31.54602,               84.41099,  37.74895,        84.39507,       37.72070,     29.53279,     +31.54602,      29.56828,      +31.53624,  3302867.27, -2414199.06,  5002728.88,      50.910080,       +0.363063,   97210.37,  156910.24,   12893.83,            13253.02,  -113.20,  48234.27,           54612.45,     66.43,     52.57,         111.36,  +3.27,  +2.29
  0,     UK002C,       0,  0.034266, 2459436.513236676343,  20.60967,  16.40099,              104.34804,  31.98019,       104.36160,       31.99803,     20.60967,     +16.40099,      20.58878,      +16.40759,  3306303.66, -2409833.64,  5013301.62,      50.967643,       +0.441729,  105547.37,  194964.48,       0.00,             1309.47,    -0.22,      0.00,           55891.04,    -52.98,    -49.12,          76.43,  +3.86,  +2.41
  1,     UK002C,       0,  0.074490, 2459436.513237142004,  20.43689,  15.91642,              104.85881,  31.70798,       104.86912,       31.72146,     20.43689,     +15.91642,      20.42130,      +15.92141,  3305661.29, -2410649.68,  5011325.24,      50.956898,       +0.427027,  103988.10,  193552.18,    2232.63,             3542.09,    -3.39,  55504.85,           55891.04,    -39.84,    -36.96,          57.91,  +2.57,  +1.14
  2,     UK002C,       0,  0.114738, 2459436.513237607665,  20.25108,  15.39625,              105.40475,  31.41441,       105.41070,       31.42213,     20.25108,     +15.39625,      20.24245,      +15.39911,  3304981.69, -2411513.02,  5009234.29,      50.945522,       +0.411482,  102338.85,  192075.65,    4594.68,             5904.15,   121.53,  58687.54,           55891.04,    -22.69,    -21.06,          33.24,  +1.83,  +0.41
  3,     UK002C,       0,  0.154954, 2459436.513238073327,  20.08043,  14.92488,              105.89916,  31.14834,       105.89941,       31.14866,     20.08043,     +14.92488,      20.08069,      +14.92500,  3304373.69, -2412285.39,  5007363.67,      50.935339,       +0.397557,  100863.74,  190768.90,    6707.84,             8017.31,    -0.66,  52545.14,           55891.04,     -0.94,     -0.87,           1.39,  +1.85,  +0.45
  4,     UK002C,       0,  0.195206, 2459436.513238538988,  19.89973,  14.39951,              106.43917,  30.84453,       106.43801,       30.84304,     19.89973,     +14.39951,      19.90230,      +14.39896,  3303708.91, -2413129.89,  5005318.35,      50.924197,       +0.382347,   99251.26,  189357.81,    9018.35,            10327.82,    72.49,  57401.15,           55951.98,      4.32,      4.01,           6.42,  +1.76,  +0.37
  0,     UK002N,       1,  0.000000, 2459436.513236282859,   5.47394,  26.68746,              110.84965,  49.55313,       110.87795,       49.59937,      5.47394,     +26.68746,       5.42453,      +26.71042,  3306660.63, -2409380.17,  5014399.91,      50.973611,       +0.449947,  106414.03,  138842.07,       0.00,               68.78,   663.70,      0.00,           50211.14,    -50.14,   -109.64,         179.11,  +3.92,  +3.21
  1,     UK002N,       0,  0.040252, 2459436.513236748520,   5.16733,  26.26902,              111.58982,  49.41460,       111.59168,       49.41756,      5.16733,     +26.26902,       5.16432,      +26.27050,  3306188.70, -2409979.68,  5012947.92,      50.965721,       +0.439102,  105268.29,  137717.21,    1640.24,             1709.03,    66.59,  40749.36,           50211.14,     -3.19,     -7.00,          11.53,  +1.77,  +1.08
  2,     UK002N,       0,  0.080632, 2459436.513237216044,   4.79401,  25.66179,              112.58355,  49.16698,       112.57625,       49.15566,      4.79401,     +25.66179,       4.80646,      +25.65617,  3305543.60, -2410799.19,  5010963.13,      50.954929,       +0.424337,  103702.45,  136199.28,    3882.37,             3951.15,    64.25,  55525.67,           50211.14,     12.10,     26.57,          44.21,  +0.90,  +0.23
  3,     UK002N,       0,  0.121024, 2459436.513237683568,   4.46967,  25.05814,              113.51467,  48.88850,       113.51875,       48.89464,      4.46967,     +25.05814,       4.46359,      +25.06120,  3304932.92, -2411574.98,  5009084.24,      50.944706,       +0.410351,  102220.50,  134780.74,    6004.88,             6073.66,   -58.38,  52547.69,           50211.14,     -6.54,    -14.36,          24.15,  +0.85,  +0.20
  4,     UK002N,       0,  0.161456, 2459436.513238151558,   4.07817,  24.37910,              114.58153,  48.58436,       114.58312,       48.58668,      4.07817,     +24.37910,       4.07635,      +24.38026,  3304250.41, -2412441.99,  5006984.38,      50.933273,       +0.394739,  100564.69,  133218.53,    8377.00,             8445.78,    66.38,  58669.34,           52317.22,     -2.46,     -5.40,           9.19,  +0.66,  +0.04
  5,     UK002N,       0,  0.201884, 2459436.513238619547,   3.65777,  23.69866,              115.67166,  48.28883,       115.65353,       48.26315,      3.65777,     +23.69866,       3.68627,      +23.68586,  3303571.36, -2413304.62,  5004895.15,      50.921891,       +0.379205,   98917.68,  131688.41,   10737.10,            10805.88,   179.36,  58378.04,           53785.22,     26.98,     59.36,         102.14,  +0.90,  +0.30
  6,     UK002N,       0,  0.242248, 2459436.513239086606,   3.34400,  23.13460,              116.53062,  48.01921,       116.51255,       47.99421,      3.34400,     +23.13460,       3.37200,      +23.12213,  3303031.79, -2413990.07,  5003235.04,      50.912841,       +0.366828,   97609.24,  130488.89,   12612.45,            12681.24,  -188.87,  46460.96,           53524.47,     26.17,     57.59,          99.99,  +2.05,  +1.47

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.