Orbital Analysis for matched events on 20210813_234837.481_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 49.52° Bg 74.55° Vg 15.46km/s
mass 0.12385g, abs. mag -0.3
Path Details
------------
start -1.96° 50.88° 90.88km
end   -1.96° 50.87° 87.28km

Orbit Details
-------------
Semimajor axis 1.00A.U., eccentricity 0.02, inclination 30.52°, Period 1.00Y, LA Sun 141.14°, last Perihelion 2020-12-31

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: 2459440.492100474890
Time: 2021-08-13 23:48:37.521223 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002W and UK0038
 Convergence angle = 0.42200 deg
 R.A. = 310.66582  Dec = +73.35873 deg

Best intersection: Stations UK002W and UK0038 with Qconv = 0.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3030534.34 +/- 4762.67 m
 Y =  -2746001.45 +/- 2315.30 m
 Z =   4996552.03 +/- 1947.75 m
 Vx =     3852.50 +/- 12298.40 m/s
 Vy =    -4199.95 +/- 3178.93 m/s
 Vz =    18168.21 +/- 37021.46 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.658534e+07, -8.010715e+06, +6.873713e+06, +1.677550e+07, -7.187712e+06, +8.688328e+06
-8.010715e+06, +3.869335e+06, -3.320106e+06, -8.185705e+06, +3.511872e+06, -4.224469e+06
+6.873713e+06, -3.320106e+06, +2.849012e+06, +6.939330e+06, -2.971508e+06, +3.596476e+06
+1.677550e+07, -8.185705e+06, +6.939330e+06, +8.603864e+07, -4.107778e+07, +3.202251e+07
-7.187712e+06, +3.511872e+06, -2.971508e+06, -4.107778e+07, +1.966646e+07, -1.513748e+07
+8.688328e+06, -4.224469e+06, +3.596476e+06, +3.202251e+07, -1.513748e+07, +1.236728e+07

Timing offsets (from input data):
    UK0002: 0.000000 s
    UK0022: 0.000000 s
    UK002W: -0.002920 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:48:37.521223 UTC
  Lon     = +-1.964326 +/- 0.0208 deg
  Lat     = +50.886182 +/- 0.0241 deg
  Lat geo = +50.700348 +/- 0.0240 deg
  Ht      =   91440.84 +/- 4717.74 m

  JD dynamic   = 2459440.492901680991 
  LST apparent = 317.8199198678 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 312.52934 +/- 30.5338 deg
  Dec       = +72.58372 +/- 29.6892 deg
  Azimuth   = 355.74214 +/- 5.6740 deg
  Elevation = +68.17814 +/- 34.7005 deg
  Vavg      =  19.04346 +/- 29.9911 km/s
  Vinit     =  19.04115 +/- 30.6766 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 315.52635 +/- 30.5338 deg
  Dec       = +72.64038 +/- 29.6892 deg
  Azimuth   = 358.15564 +/- 5.6740 deg
  Elevation = +68.22250 +/- 34.7005 deg
  Vavg      =  19.03756 +/- 29.9911 km/s
  Vinit     =  19.03525 +/- 30.6766 km/s
Radiant (geocentric, J2000):
  R.A.   = 311.20766 +/- 30.0089 deg
  Dec    = +74.78251 +/- 28.3777 deg
  Vg     =  15.46292 +/- 31.7927 km/s
  Vinf   =  19.04115 +/- 30.6766 km/s
  Zc     =  22.00719 +/- 34.6955 deg
  Zg     =  24.31760 +/- 32.9788 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  49.52222 +/- 25.2094 deg
  Bg     = +74.55101 +/- 29.1197 deg
  Vh     =  29.35423 +/- 29.8782 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 232.12648 +/- 17.0494 deg
  Bh     = +30.51377 +/- 14.0797 deg
  Vh_x   =  15.52536 +/- 30.7106 km/s
  Vh_y   =  19.96223 +/- 9.5160 km/s
  Vh_z   = -14.90448 +/- 15.4644 km/s
Orbit:
  La Sun = 141.141228 +/- -0.0000 deg
  a      =   0.997084 +/- 4.2562 AU
  e      =   0.021832 +/- 3.1031
  i      =  30.517422 +/- 8.7977 deg
  peri   = 318.028920 +/- 69.0661 deg
  node   = 141.147914 +/- 84.9297 deg
  Pi     =  99.176834 +/- 31.1957 deg
  q      =   0.975316 +/- 0.1107 AU
  f      = 221.963967 +/- 31.1955 deg
  M      = 223.657305 +/- nan deg
  Q      =   1.018852 +/- 8.5024 AU
  n      =   0.989935 +/- 19.2939 deg/day
  T      =   0.995630 +/- 442216637.4658 years
  Last perihelion JD = 2459214.561527 (2020-12-31 01:28:35.925904) +/- 73.7632 days
  Tj     =   5.973460 +/- 26.4665
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.623539e-02, -2.813953e-02, +2.044859e+01, +1.409430e-04, +2.944961e-01, -5.666462e-02
q   , -2.813953e-02, +9.969632e-03, -8.468086e+00, -3.553450e-05, -1.245267e-01, +1.829963e-02
Tp  , +2.044859e+01, -8.468086e+00, +8.100175e+03, +2.176900e-02, +1.208224e+02, -1.508822e+01
node, +1.409430e-04, -3.553450e-05, +2.176900e-02, +2.249516e-07, +3.049684e-04, -7.715755e-05
peri, +2.944961e-01, -1.245267e-01, +1.208224e+02, +3.049684e-04, +1.805058e+00, -2.212746e-01
i   , -5.666462e-02, +1.829963e-02, -1.508822e+01, -7.715755e-05, -2.212746e-01, +3.674879e-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: UK0038
  Avg. res. = 4.691e-06 s
  Stddev    = 2.17e-03 s

Begin point on the trajectory:
  Lon =    -1.964091 +/- 0.0193 deg
  Lat =    50.884183 +/- 0.0226 deg
  Ht  = 90876.04 +/- 4334.31 m
End point on the trajectory:
  Lon =    -1.963454 +/- 0.0232 deg
  Lat =    50.871452 +/- 0.0282 deg
  Ht  = 87280.75 +/- 5122.11 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
    UK0002,    True,     0.265820,    50.757180,   60.00, 49438.861036,   0.000000,    88059.21,    83447.73,          1.454198,       nan,       nan,              86.06, 0.0000,    True,    True, {"ff_name": "FF_UK0002_20210813_234838_959_0340480.fits"}
    UK0022,    True,    -0.848117,    51.261084,   92.00, 1164.263042,   0.000000,    90552.06,    86700.70,          1.173884,       nan,       nan,             115.57, 0.0000,    True,    True, {"ff_name": "FF_UK0022_20210813_234830_082_0039680.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.663064,   0.000000,    90866.55,    87280.75,          0.020329,     29.63,     24.76,             157.30, 1.0000,    True,    True, {"ff_name": "FF_UK002W_20210813_234835_438_0324608.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    90876.04,    87352.22,          0.018445,     26.71,     22.36,             156.88, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210813_234834_192_0324608.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,     UK0002,       1,  2.852355, 2459440.492133488413, 243.92694,  25.13679,              276.52750,  27.79673,       275.58685,       28.18270,    243.92694,     +25.13679,     244.89415,      +24.83819,  3029805.79, -2745207.20,  4993116.23,      50.874348,       -1.974683,   88059.21,  182181.10,       0.00,             3600.88, -50551.47,      0.00,           33686.67,   -670.22,   2834.32,        3297.30,  +1.41,  +0.11
  1,     UK0002,       1,  2.892751, 2459440.492133955937, 243.51994,  24.86653,              276.61591,  27.34622,       275.40541,       27.84085,    243.51994,     +24.86653,     244.76078,      +24.48071,  3029526.93, -2744903.19,  4991801.14,      50.869815,       -1.974319,   86778.71,  181500.28,    1378.28,             4979.16, -49942.38,  34119.15,           33686.67,   -873.16,   3639.08,        4252.84,  +1.39,  +0.10
  2,     UK0002,       1,  2.933163, 2459440.492134423461, 243.11639,  24.56847,              276.68168,  26.87740,       275.21272,       27.47528,    243.11639,     +24.56847,     244.61911,      +24.09854,  3029231.11, -2744580.70,  4990406.10,      50.865004,       -1.973922,   85420.47,  180786.15,    2840.34,             6441.23, -49249.81,  36179.01,           33686.67,  -1071.76,   4405.88,        5173.38,  +1.60,  +0.31
  3,     UK0002,       1,  2.973523, 2459440.492134890519, 242.73889,  24.33436,              276.77918,  26.47082,       275.05334,       27.17059,    242.73889,     +24.33436,     244.50170,      +23.78020,  3028986.75, -2744314.29,  4989253.68,      50.861028,       -1.973623,   84298.27,  180204.77,    4048.13,             7649.01, -48810.52,  29925.32,           33686.67,  -1273.60,   5165.72,        6090.01,  +2.34,  +1.06
  4,     UK0002,       1,  3.013779, 2459440.492135356646, 242.49182,  24.14270,              276.81406,  26.17670,       274.93242,       26.93788,    242.49182,     +24.14270,     244.41238,      +23.53723,  3028801.60, -2744112.44,  4988380.51,      50.858015,       -1.973437,   83447.73,  179770.83,    4963.25,             8564.13, -48661.92,  22732.57,           31210.43,  -1397.86,   5624.29,        6649.90,  +5.55,  +4.28
  0,     UK0022,       1,  0.147548, 2459440.492102182470, 278.91362,  19.78190,              239.93532,  45.63656,       242.17386,       44.92128,    278.91362,     +19.78190,     277.10900,      +20.11809,  3030340.66, -2745790.30,  4995638.64,      50.883037,       -1.964405,   90552.06,  127221.40,       0.00,              957.27, -1692.44,      0.00,           25984.50,   -759.34,  -3764.68,        6227.57,  +1.36,  +0.84
  1,     UK0022,       1,  0.187880, 2459440.492102649529, 278.53748,  19.52832,              240.14003,  45.22529,       241.99892,       44.63297,    278.53748,     +19.52832,     277.03554,      +19.81190,  3030172.55, -2745607.03,  4994845.84,      50.880307,       -1.964252,   89780.67,  126767.64,     830.89,             1788.17, -1629.51,  20601.28,           25984.50,   -618.99,  -3132.09,        5195.36,  +0.71,  +0.19
  2,     UK0022,       1,  0.228352, 2459440.492103117984, 278.01959,  19.15484,              240.40049,  44.63854,       241.74430,       44.21201,    278.01959,     +19.15484,     276.93042,      +19.36420,  3029928.62, -2745341.11,  4993695.49,      50.876343,       -1.963955,   88661.43,  126112.74,    2036.51,             2993.79, -1194.52,  29789.01,           25984.50,   -436.08,  -2269.93,        3780.71,  +0.84,  +0.34
  3,     UK0022,       1,  0.268764, 2459440.492103585508, 277.59934,  18.81727,              240.58303,  44.13371,       241.52136,       43.83680,    277.59934,     +18.81727,     276.83692,      +18.96589,  3029713.80, -2745106.92,  4992682.43,      50.872852,       -1.963713,   87675.75,  125543.61,    3098.25,             4055.53,  -902.28,  26272.87,           25984.50,   -298.20,  -1588.26,        2655.14,  +1.41,  +0.92
  4,     UK0022,       1,  0.309176, 2459440.492104053497, 277.16587,  18.48477,              240.78321,  43.62536,       241.30165,       43.46183,    277.16587,     +18.48477,     276.74399,      +18.56826,  3029501.30, -2744875.25,  4991680.27,      50.869397,       -1.963475,   86700.70,  124987.00,    4148.56,             5105.83,  -621.46,  25990.01,           26141.24,   -161.13,   -879.38,        1475.40,  +2.89,  +2.41
  0,     UK002W,       0,  0.042468, 2459440.492101000622, 333.85170,  19.37621,              151.88255,  55.48815,       151.91420,       55.49147,    333.85170,     +19.37621,     333.83273,      +19.37377,  3030409.18, -2745865.00,  4995961.78,      50.884150,       -1.964109,   90866.55,  109846.20,       0.00,              618.61,   -30.26,      0.00,           19070.19,    -22.42,     26.82,          65.64,  +3.21,  +3.01
  1,     UK002W,       0,  0.082584, 2459440.492101464886, 333.83793,  19.04820,              152.08336,  55.18039,       152.02737,       55.17452,    333.83793,     +19.04820,     333.87237,      +19.05251,  3030255.23, -2745697.17,  4995235.77,      50.881650,       -1.963982,   90160.17,  109403.80,     760.89,             1379.51,   -33.23,  18967.31,           19070.19,     39.80,    -47.63,         117.03,  +0.42,  +0.22
  2,     UK002W,       0,  0.122776, 2459440.492101930082, 333.92313,  18.71368,              152.12970,  54.83732,       152.14473,       54.83889,    333.92313,     +18.71368,     333.91445,      +18.71251,  3030093.65, -2745521.02,  4994473.78,      50.879025,       -1.963841,   89418.79,  108943.40,    1559.49,             2178.10,     0.07,  19869.59,           19070.19,    -10.73,     12.83,          31.67,  +0.61,  +0.42
  3,     UK002W,       0,  0.162912, 2459440.492102394812, 333.93766,  18.39889,              152.27425,  54.53351,       152.25153,       54.53114,    333.93766,     +18.39889,     333.95235,      +18.40066,  3029946.63, -2745360.74,  4993780.41,      50.876636,       -1.963728,   88744.17,  108527.57,    2286.17,             2904.78,   -37.48,  18105.42,           19070.19,     16.26,    -19.46,          48.21,  +0.62,  +0.44
  4,     UK002W,       0,  0.203096, 2459440.492102860007, 333.98369,  18.01303,              152.40476,  54.15271,       152.37920,       54.15004,    333.98369,     +18.01303,     334.00040,      +18.01504,  3029766.42, -2745164.28,  4992930.55,      50.873707,       -1.963551,   87917.29,  108023.08,    3176.87,             3795.48,    88.06,  22165.42,           19619.94,     18.39,    -22.01,          54.76,  +1.29,  +1.12
  5,     UK002W,       0,  0.243264, 2459440.492103324737, 334.06064,  17.71910,              152.43790,  53.85042,       152.47887,       53.85470,    334.06064,     +17.71910,     334.03612,      +17.71586,  3029627.69, -2745013.04,  4992276.34,      50.871452,       -1.963454,   87280.75,  107637.38,    3862.51,             4481.13,     8.86,  17069.48,           19412.50,    -29.57,     35.38,          88.36,  +2.83,  +2.67
  0,     UK0038,       1,  0.000000, 2459440.492100474890, 334.11905,  20.07586,              151.04937,  56.07951,       151.03943,       56.07844,    334.11905,     +20.07586,     334.12500,      +20.07663,  3030534.71, -2746001.86,  4996553.81,      50.886188,       -1.964159,   91442.57,  109644.02,       0.00,                1.87,   161.63,      0.00,           17998.75,      6.94,     -8.29,          20.34,  +7.01,  +6.81
  1,     UK0038,       0,  0.040212, 2459440.492100940086, 334.15394,  19.82079,              151.14017,  55.82742,       151.13664,       55.82704,    334.15394,     +19.82079,     334.15623,      +19.82106,  3030411.24, -2745867.26,  4995971.53,      50.884183,       -1.964091,   90876.04,  109282.56,     610.25,              608.39,     2.47,  15175.92,           17998.75,      2.47,     -2.95,           7.26,  +2.85,  +2.66
  2,     UK0038,       0,  0.080492, 2459440.492101406679, 334.21912,  19.49165,              151.22354,  55.49592,       151.25825,       55.49966,    334.21912,     +19.49165,     334.19842,      +19.48893,  3030252.07, -2745693.73,  4995220.89,      50.881598,       -1.963955,   90145.70,  108820.75,    1396.97,             1395.10,    22.21,  19531.10,           17998.75,    -24.40,     29.14,          72.05,  +1.02,  +0.84
  3,     UK0038,       0,  0.120752, 2459440.492101872340, 334.20215,  19.16253,              151.43399,  55.18892,       151.37451,       55.18251,    334.20215,     +19.16253,     334.23890,      +19.16720,  3030099.16, -2745527.02,  4994499.74,      50.879114,       -1.963831,   89444.05,  108380.48,    2152.77,             2150.90,    11.41,  18772.97,           17998.75,     41.96,    -50.12,         124.40,  +1.13,  +0.96
  4,     UK0038,       0,  0.161024, 2459440.492102338467, 334.28082,  18.84741,              151.48432,  54.86642,       151.48850,       54.86687,    334.28082,     +18.84741,     334.27893,      +18.84707,  3029948.22, -2745362.47,  4993787.92,      50.876662,       -1.963711,   88751.47,  107949.28,    2898.79,             2896.92,    -9.40,  18524.56,           18232.45,     -2.96,      3.53,           8.81,  +1.16,  +0.99
  5,     UK0038,       0,  0.201316, 2459440.492102805059, 334.31240,  18.49483,              151.62668,  54.52228,       151.61057,       54.52054,    334.31240,     +18.49483,     334.32318,      +18.49612,  3029784.14, -2745183.59,  4993014.12,      50.873995,       -1.963565,   87998.60,  107484.71,    3709.76,             3707.89,    34.37,  20127.33,           18570.14,     11.45,    -13.68,          34.24,  +1.52,  +1.36
  6,     UK0038,       0,  0.241568, 2459440.492103270721, 334.34003,  18.18996,              151.74721,  54.22444,       151.71591,       54.22108,    334.34003,     +18.18996,     334.36044,      +18.19246,  3029643.27, -2745030.02,  4992349.80,      50.871705,       -1.963464,   87352.22,  107088.68,    4406.00,             4404.13,   -35.83,  17297.04,           18554.32,     22.32,    -26.66,          66.98,  +2.28,  +2.13

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.