Orbital Analysis for matched events on 20211015_193827.867_UK

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Summary for Event
-----------------
shower ID 557 SFD
Lg 355.60° Bg 77.17° Vg 20.18km/s
mass 0.07884g, abs. mag 1.0
best visual mag 1.3
Path Details
------------
start 1.16° 52.40° 96.71km
end   1.18° 52.38° 87.96km

Orbit Details
-------------
Semimajor axis 2.49A.U., eccentricity 0.61, inclination 31.68°, Period 3.94Y, LA Sun 202.37°, last Perihelion 2017-11-22

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: 2459503.318378099706
Time: 2021-10-15 19:38:27.867815 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0032 and UK0034
 Convergence angle = 31.96312 deg
 R.A. = 302.50185  Dec = +62.30478 deg

Best intersection: Stations UK0032 and UK0034 with Qconv = 31.96 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3047151.71 +/- 55.76 m
 Y =  -2527478.47 +/- 21.65 m
 Z =   5106675.94 +/- 25.77 m
 Vx =     5474.05 +/- 284.49 m/s
 Vy =    -9271.05 +/- 74.18 m/s
 Vz =    20360.32 +/- 318.20 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.211750e+03, -7.178315e+02, +5.526534e+02, +1.273795e+04, -4.583694e+03, +7.714886e+03
-7.178315e+02, +5.006520e+02, -4.103974e+02, -3.139039e+03, +2.457155e+03, -3.203008e+03
+5.526534e+02, -4.103974e+02, +7.143155e+02, +1.024068e+03, -1.297676e+03, +2.201776e+03
+1.273795e+04, -3.139039e+03, +1.024068e+03, +7.287625e+04, -2.825059e+04, +4.345985e+04
-4.583694e+03, +2.457155e+03, -1.297676e+03, -2.825059e+04, +1.817080e+04, -2.546725e+04
+7.714886e+03, -3.203008e+03, +2.201776e+03, +4.345985e+04, -2.546725e+04, +4.061335e+04

Timing offsets (from input data):
    UK0032: 0.000000 s
    UK0034: 0.001445 s

Reference point on the trajectory:
  Time: 2021-10-15 19:38:27.867815 UTC
  Lon     = ++1.157564 +/- 0.0004 deg
  Lat     = +52.398787 +/- 0.0003 deg
  Lat geo = +52.215375 +/- 0.0003 deg
  Ht      =   96733.31 +/- 44.17 m

  JD dynamic   = 2459503.319178840611 
  LST apparent = 320.3257846517 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 300.55954 +/- 0.9594 deg
  Dec       = +62.13020 +/- 0.3455 deg
  Azimuth   = 320.36389 +/- 0.4730 deg
  Elevation = +75.65127 +/- 0.5616 deg
  Vavg      =  22.35973 +/- 0.1582 km/s
  Vinit     =  23.03172 +/- 0.2850 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 302.01825 +/- 0.9594 deg
  Dec       = +62.33769 +/- 0.3455 deg
  Azimuth   = 322.66878 +/- 0.4730 deg
  Elevation = +76.08516 +/- 0.5616 deg
  Vavg      =  22.31585 +/- 0.1582 km/s
  Vinit     =  22.98785 +/- 0.2850 km/s
Radiant (geocentric, J2000):
  R.A.   = 298.74980 +/- 1.0813 deg
  Dec    = +62.60077 +/- 0.3707 deg
  Vg     =  20.17640 +/- 0.3239 km/s
  Vinf   =  23.03172 +/- 0.2850 km/s
  Zc     =  14.49044 +/- 0.5617 deg
  Zg     =  15.45312 +/- 0.6171 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 355.59800 +/- 0.5130 deg
  Bg     = +77.17354 +/- 0.6167 deg
  Vh     =  37.73196 +/- 0.2859 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 300.40512 +/- 0.3928 deg
  Bh     = +31.42727 +/- 0.2379 deg
  Vh_x   = -16.29514 +/- 0.2807 km/s
  Vh_y   =  27.76871 +/- 0.0550 km/s
  Vh_z   = -19.67405 +/- 0.2729 km/s
Orbit:
  La Sun = 202.372765 +/- 0.0000 deg
  a      =   2.492990 +/- 0.1858 AU
  e      =   0.607604 +/- 0.0244
  i      =  31.679090 +/- 0.2565 deg
  peri   = 198.165526 +/- 0.4662 deg
  node   = 202.374004 +/- 0.0000 deg
  Pi     =  40.539530 +/- 0.4662 deg
  q      =   0.978239 +/- 0.0014 AU
  f      = 341.832376 +/- 0.4662 deg
  M      = 356.432794 +/- 0.3052 deg
  Q      =   4.007741 +/- 0.3728 AU
  n      =   0.250394 +/- 0.0220 deg/day
  T      =   3.936239 +/- 0.4637 years
  Last perihelion JD = 2458079.829276 (2017-11-22 07:54:09.478278) +/- 169.2488 days
  Tj     =   3.023167 +/- 0.1238
Shower association:
  IAU No.  =  557
  IAU code =  SFD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.797027e-04, -2.623668e-05, -3.912065e+00, -3.912579e-07, +6.641541e-03, +5.688892e-03
q   , -2.623668e-05, +1.799125e-06, +1.795591e-01, +1.337925e-08, -5.777871e-04, -1.947730e-04
Tp  , -3.912065e+00, +1.795591e-01, +2.663064e+04, +2.584238e-03, -4.574478e+01, -3.757376e+01
node, -3.912579e-07, +1.337925e-08, +2.584238e-03, +3.305417e-10, -2.556164e-06, -4.804282e-06
peri, +6.641541e-03, -5.777871e-04, -4.574478e+01, -2.556164e-06, +2.019466e-01, +3.727780e-02
i   , +5.688892e-03, -1.947730e-04, -3.757376e+01, -4.804282e-06, +3.727780e-02, +6.982917e-02

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. = 8.358e-06 s
  Stddev    = 2.89e-03 s

Begin point on the trajectory:
  Lon =     1.157617 +/- 0.0004 deg
  Lat =    52.398748 +/- 0.0003 deg
  Ht  = 96710.69 +/- 40.99 m
End point on the trajectory:
  Lon =     1.176627 +/- 0.0004 deg
  Lat =    52.383466 +/- 0.0003 deg
  Ht  = 87960.01 +/- 52.71 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
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,  70.769898,    96710.69,    87996.00,          0.014420,     34.77,      5.32,              59.28, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20211015_193821_233_0179712.fits"}
    UK0034,   False,     1.010397,    52.949859,   25.00,   0.000000,   0.000000,    95813.93,    87960.01,          0.015006,     27.81,      9.84,              44.51, 1.0000,   False,    True, {"ff_name": "FF_UK0034_20211015_193819_426_0185856.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,     UK0032,       0,  0.000000, 2459503.318378099706, 355.72316,  15.17104,              128.73139,  42.49859,       128.72758,       42.49844,    355.72316,     +15.17104,     355.72562,      +15.17228,  3047146.16, -2527469.07,  5106655.30,      52.398748,       +1.157617,   96710.69,  141893.80,       0.00,               23.35,   -46.48,      0.00,           22817.01,      1.05,     -6.90,          10.14,  +4.69,  +3.93
  1,     UK0032,       0,  0.040300, 2459503.318378566299, 355.88131,  14.79627,              128.79710,  42.09680,       128.76049,       42.09538,    355.88131,     +14.79627,     355.90660,      +14.80821,  3046873.19, -2527006.77,  5105640.02,      52.396807,       +1.160077,   95598.03,  141329.11,    1148.48,             1171.84,   173.82,  28498.38,           22817.01,     10.14,    -66.33,          97.93,  +3.40,  +2.65
  2,     UK0032,       0,  0.080512, 2459503.318379031494, 356.01102,  14.55969,              128.80384,  41.82905,       128.78350,       41.82826,    356.01102,     +14.55969,     356.02529,      +14.56635,  3046692.93, -2526701.47,  5104969.55,      52.395525,       +1.161645,   94863.24,  140957.84,    1906.93,             1930.28,     6.11,  18861.07,           22817.01,      5.64,    -36.91,          54.64,  +3.30,  +2.55
  3,     UK0032,       0,  0.120756, 2459503.318379497156, 356.15625,  14.27191,              128.82570,  41.50916,       128.80999,       41.50855,    356.15625,     +14.27191,     356.16752,      +14.27707,  3046478.72, -2526338.67,  5104172.81,      52.394001,       +1.163540,   93990.05,  140521.91,    2808.21,             2831.56,   -19.49,  22395.40,           22817.01,      4.36,    -28.56,          42.41,  +2.32,  +1.58
  4,     UK0032,       0,  0.161008, 2459503.318379963282, 356.30357,  13.97993,              128.84720,  41.18450,       128.83658,       41.18409,    356.30357,     +13.97993,     356.31150,      +13.98343,  3046262.69, -2525972.80,  5103369.30,      52.392464,       +1.165453,   93109.45,  140086.79,    3717.14,             3740.49,   -37.63,  22581.11,           22595.79,      2.95,    -19.34,          28.81,  +1.65,  +0.92
  5,     UK0032,       0,  0.201268, 2459503.318380429409, 356.45469,  13.67425,              128.87247,  40.84596,       128.86388,       40.84563,    356.45469,     +13.67425,     356.46140,      +13.67710,  3046038.81, -2525593.63,  5102536.60,      52.390870,       +1.167442,   92196.85,  139640.89,    4659.09,             4682.44,   -22.94,  23396.65,           22647.02,      2.39,    -15.68,          23.42,  +1.42,  +0.69
  6,     UK0032,       0,  0.241540, 2459503.318380895071, 356.60051,  13.34597,              128.91725,  40.48999,       128.89215,       40.48901,    356.60051,     +13.34597,     356.61904,      +13.35431,  3045804.53, -2525196.85,  5101665.23,      52.389202,       +1.169531,   91241.86,  139179.86,    5644.80,             5668.15,    35.23,  24476.20,           22861.42,      7.02,    -45.90,          68.82,  +1.58,  +0.86
  7,     UK0032,       0,  0.281804, 2459503.318381361198, 356.76253,  13.04519,              128.92567,  40.15041,       128.91897,       40.15015,    356.76253,     +13.04519,     356.76829,      +13.04743,  3045583.26, -2524822.09,  5100842.21,      52.387626,       +1.171496,   90339.86,  138749.02,    6575.80,             6599.15,    38.88,  23122.39,           22972.49,      1.88,    -12.27,          18.46,  +1.50,  +0.79
  8,     UK0032,       0,  0.322072, 2459503.318381827325, 356.91035,  12.73041,              128.95807,  39.80511,       128.94598,       39.80464,    356.91035,     +12.73041,     356.92012,      +12.73446,  3045359.06, -2524442.39,  5100008.33,      52.386029,       +1.173489,   89425.94,  138317.59,    7519.09,             7542.44,    54.73,  23425.29,           23054.52,      3.39,    -22.19,          33.48,  +1.65,  +0.95
  9,     UK0032,       0,  0.362320, 2459503.318382292986, 357.06645,  12.45723,              128.95465,  39.49233,       128.97054,       39.49295,    357.06645,     +12.45723,     357.05648,      +12.45189,  3045157.84, -2524101.59,  5099259.90,      52.384595,       +1.175262,   88605.66,  137933.98,    8365.71,             8389.06,   -25.62,  21035.25,           22986.14,     -4.46,     29.22,          44.20,  +2.42,  +1.72
 10,     UK0032,       0,  0.402484, 2459503.318382758182, 357.13641,  12.23194,              129.01667,  39.26183,       128.98977,       39.26079,    357.13641,     +12.23194,     357.15715,      +12.24099,  3045008.30, -2523848.32,  5098703.69,      52.383529,       +1.176536,   87996.00,  137649.79,    8994.91,             9018.26,  -321.48,  15665.60,           22616.94,      7.58,    -49.52,          75.07,  +4.21,  +3.52
  0,     UK0034,       0,  0.038317, 2459503.318378547207, 325.68899,  19.70084,              170.57848,  56.47806,       170.62339,       56.47366,    325.68899,     +19.70084,     325.66328,      +19.69387,  3046926.16, -2527096.47,  5105837.03,      52.397184,       +1.159574,   95813.93,  114534.91,       0.00,              948.98,    -3.35,      0.00,           23388.43,    -16.79,     47.47,          90.68,  +2.02,  +1.73
  1,     UK0034,       0,  0.078565, 2459503.318379012868, 325.76916,  19.38864,              170.50216,  56.15964,       170.53253,       56.15667,    325.76916,     +19.38864,     325.75183,      +19.38390,  3046713.66, -2526736.58,  5105046.66,      52.395673,       +1.161452,   94947.74,  113912.99,     894.07,             1843.05,   -36.26,  22214.02,           23388.43,    -11.39,     32.19,          61.83,  +2.01,  +1.73
  2,     UK0034,       0,  0.118857, 2459503.318379479460, 325.87241,  19.02416,              170.39784,  55.78689,       170.42607,       55.78413,    325.87241,     +19.02416,     325.85636,      +19.01973,  3046466.99, -2526318.80,  5104129.17,      52.393918,       +1.163659,   93942.23,  113195.73,    1931.94,             2880.92,    73.62,  25758.76,           23388.43,    -10.62,     30.01,          58.00,  +1.49,  +1.22
  3,     UK0034,       0,  0.159109, 2459503.318379945122, 325.92766,  18.71003,              170.36496,  55.46898,       170.33998,       55.47143,    325.92766,     +18.71003,     325.94275,      +18.71397,  3046262.27, -2525972.09,  5103367.74,      52.392461,       +1.165463,   93107.74,  112604.04,    2793.28,             3742.26,     7.88,  21398.62,           23388.43,      9.43,    -26.62,          51.73,  +1.45,  +1.19
  4,     UK0034,       0,  0.199365, 2459503.318380411249, 326.04175,  18.38576,              170.23702,  55.13500,       170.24793,       55.13393,    326.04175,     +18.38576,     326.03601,      +18.38403,  3046043.77, -2525602.04,  5102555.06,      52.390906,       +1.167400,   92217.09,  111976.43,    3712.58,             4661.56,     0.02,  22836.39,           23158.18,     -4.13,     11.66,          22.78,  +1.48,  +1.23
  5,     UK0034,       0,  0.239657, 2459503.318380877376, 326.11977,  18.02635,              170.17624,  54.76969,       170.15042,       54.77222,    326.11977,     +18.02635,     326.13589,      +18.03048,  3045812.37, -2525210.11,  5101694.36,      52.389258,       +1.169462,   91273.79,  111316.17,    4686.22,             5635.20,    45.66,  24164.47,           23236.24,      9.80,    -27.67,          54.39,  +1.33,  +1.10
  6,     UK0034,       0,  0.279905, 2459503.318381343503, 326.23584,  17.71669,              170.04476,  54.44985,       170.06558,       54.44781,    326.23584,     +17.71669,     326.22445,      +17.71334,  3045607.10, -2524862.47,  5100930.90,      52.387796,       +1.171272,   90437.05,  110734.20,    5549.85,             6498.83,   -17.69,  21457.75,           23073.65,     -7.92,     22.36,          44.19,  +1.35,  +1.13
  7,     UK0034,       0,  0.320229, 2459503.318381810095, 326.31270,  17.31728,              169.99492,  54.04482,       169.96076,       54.04817,    326.31270,     +17.31728,     326.33437,      +17.32281,  3045357.32, -2524439.43,  5100001.85,      52.386016,       +1.173512,   89418.84,  110031.23,    6600.79,             7549.77,   104.52,  26062.55,           23255.35,     13.04,    -36.81,          73.20,  +1.40,  +1.19
  8,     UK0034,       0,  0.360473, 2459503.318382275756, 326.41655,  17.01230,              169.88459,  53.73077,       169.88116,       53.73110,    326.41655,     +17.01230,     326.41997,      +17.01286,  3045161.32, -2524107.47,  5099272.83,      52.384620,       +1.175234,   88619.83,  109483.21,    7425.47,             8374.45,     2.31,  20491.82,           23155.99,      1.31,     -3.71,           7.41,  +1.60,  +1.40
  9,     UK0034,       0,  0.400681, 2459503.318382741418, 326.48402,  16.75338,              169.82486,  53.46628,       169.81749,       53.46701,    326.48402,     +16.75338,     326.49000,      +16.75459,  3044999.47, -2523833.36,  5098670.84,      52.383466,       +1.176627,   87960.01,  109033.05,    8106.44,             9055.42,  -242.78,  16936.15,           22766.73,      2.83,     -7.98,          16.01,  +3.23,  +3.04

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.