Orbital Analysis for matched events on 20210816_221802.863_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 42.71° Bg 39.47° Vg 55.13km/s
mass 0.01089g, abs. mag 0.4
Path Details
------------
start -2.55° 50.28° 112.19km
end   -2.66° 50.23° 103.34km

Orbit Details
-------------
Semimajor axis 2.99A.U., eccentricity 0.68, inclination 109.38°, Period 5.16Y, LA Sun 143.96°, last Perihelion 2016-07-14

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: 2459443.429199814331
Time: 2021-08-16 22:18:02.864562 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0025
 Convergence angle = 28.21650 deg
 R.A. =  21.71297  Dec = +52.44639 deg

Best intersection: Stations UK000H and UK0025 with Qconv = 28.22 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1917729.60 +/- 27.52 m
 Y =  -3686402.60 +/- 51.51 m
 Z =   4969305.86 +/- 25.55 m
 Vx =    31692.99 +/- 137.21 m/s
 Vy =    12469.35 +/- 333.35 m/s
 Vz =    44753.01 +/- 69.57 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.145899e+02, -7.713987e+02, +4.962682e+02, +2.271233e+03, -3.701490e+03, -2.567309e+02
-7.713987e+02, +2.831426e+03, -5.682607e+02, -4.260337e+03, +1.471167e+04, -2.009516e+03
+4.962682e+02, -5.682607e+02, +6.938183e+02, +2.475872e+02, -1.993241e+03, +6.745706e+02
+2.271233e+03, -4.260337e+03, +2.475872e+02, +1.786842e+04, -3.608292e+04, -1.720069e+03
-3.701490e+03, +1.471167e+04, -1.993241e+03, -3.608292e+04, +1.105318e+05, -8.757291e+03
-2.567309e+02, -2.009516e+03, +6.745706e+02, -1.720069e+03, -8.757291e+03, +4.377688e+03

Timing offsets (from input data):
    UK000H: 0.000043 s
    UK0025: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 22:18:02.864562 UTC
  Lon     = +-2.550578 +/- 0.0003 deg
  Lat     = +50.283259 +/- 0.0003 deg
  Lat geo = +50.097262 +/- 0.0003 deg
  Ht      =  112174.54 +/- 47.20 m

  JD dynamic   = 2459443.430000562221 
  LST apparent = 297.4842212626 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  21.47675 +/- 0.5818 deg
  Dec       = +52.72829 +/- 0.0977 deg
  Azimuth   =  52.64387 +/- 0.2510 deg
  Elevation = +40.73930 +/- 0.3125 deg
  Vavg      =  55.80081 +/- 0.0816 km/s
  Vinit     =  56.23844 +/- 0.0144 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  21.52963 +/- 0.5818 deg
  Dec       = +52.48476 +/- 0.0977 deg
  Azimuth   =  52.88970 +/- 0.2510 deg
  Elevation = +40.57941 +/- 0.3125 deg
  Vavg      =  55.98382 +/- 0.0816 km/s
  Vinit     =  56.42146 +/- 0.0144 km/s
Radiant (geocentric, J2000):
  R.A.   =  21.86174 +/- 0.5827 deg
  Dec    = +52.33139 +/- 0.0996 deg
  Vg     =  55.13346 +/- 0.0147 km/s
  Vinf   =  56.23844 +/- 0.0144 km/s
  Zc     =  49.37372 +/- 0.3130 deg
  Zg     =  49.89633 +/- 0.3170 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  42.71488 +/- 0.3933 deg
  Bg     = +39.47492 +/- 0.2117 deg
  Vh     =  38.14732 +/- 0.1478 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  18.94704 +/- 1.1775 deg
  Bh     = +66.75466 +/- 0.1426 deg
  Vh_x   = -14.23984 +/- 0.1304 km/s
  Vh_y   =  -4.88845 +/- 0.2886 km/s
  Vh_z   = -35.05064 +/- 0.1633 km/s
Orbit:
  La Sun = 143.963253 +/- 0.0000 deg
  a      =   2.985522 +/- 0.1134 AU
  e      =   0.682382 +/- 0.0128
  i      = 109.381492 +/- 0.3319 deg
  peri   = 212.476405 +/- 0.5951 deg
  node   = 143.961933 +/- 0.0000 deg
  Pi     = 356.438338 +/- 0.5952 deg
  q      =   0.948255 +/- 0.0029 AU
  f      = 327.519638 +/- 0.5951 deg
  M      = 355.314188 +/- 0.2414 deg
  Q      =   5.022789 +/- 0.2291 AU
  n      =   0.191062 +/- 0.0109 deg/day
  T      =   5.158590 +/- 0.2941 years
  Last perihelion JD = 2457583.747171 (2016-07-14 05:55:55.612148) +/- 107.2556 days
  Tj     =   1.375695 +/- 0.0611
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.705218e-04, -3.175416e-05, -1.421789e+00, +5.589628e-09, +9.912528e-05, -7.640445e-05
q   , -3.175416e-05, +8.582225e-06, +2.578285e-01, -9.962384e-10, -3.033939e-05, +1.361727e-05
Tp  , -1.421789e+00, +2.578285e-01, +1.189809e+04, -4.681681e-05, -7.952642e-01, +6.399930e-01
node, +5.589628e-09, -9.962384e-10, -4.681681e-05, +1.856734e-13, +3.051244e-09, -2.538134e-09
peri, +9.912528e-05, -3.033939e-05, -7.952642e-01, +3.051244e-09, +1.105295e-04, -4.170526e-05
i   , -7.640445e-05, +1.361727e-05, +6.399930e-01, -2.538134e-09, -4.170526e-05, +3.469613e-05

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: UK0025
  Avg. res. = 3.345e-07 s
  Stddev    = 5.78e-04 s

Begin point on the trajectory:
  Lon =    -2.550362 +/- 0.0002 deg
  Lat =    50.283365 +/- 0.0003 deg
  Ht  = 112191.45 +/- 41.35 m
End point on the trajectory:
  Lon =    -2.664174 +/- 0.0001 deg
  Lat =    50.228075 +/- 0.0003 deg
  Ht  = 103335.88 +/- 45.07 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.001898,  41.882049,   112191.45,   103372.30,          0.010179,      6.52,     24.07,              85.26, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210816_221759_365_0203008.fits"}
    UK0025,   False,    -2.949750,    50.877380,   82.00,   0.000000,   0.000000,   110745.26,   103335.88,          0.008624,     13.34,     14.44,              63.07, 1.0000,    True,    True, {"ff_name": "FF_UK0025_20210816_221759_932_0197376.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,     UK000H,       0,  0.000631, 2459443.429199821316, 273.35867,  18.96971,              220.87127,  52.52340,       220.87839,       52.52412,    273.35867,     +18.96971,     273.35488,      +18.97224,  1917744.20, -3686396.86,  4969326.48,      50.283365,       -2.550362,  112191.45,  140630.24,       0.00,               25.91,   231.08,      0.00,           54288.91,     10.41,     -2.82,          15.82,  +4.27,  +3.53
  1,     UK000H,       0,  0.041411, 2459443.429200293031, 272.77948,  18.22999,              221.14856,  51.61816,       221.12510,       51.61581,    272.77948,     +18.22999,     272.79236,      +18.22151,  1916472.23, -3686897.31,  4967530.35,      50.274194,       -2.569277,  110718.60,  140471.27,    2257.09,             2231.18,   142.95,  55347.90,           54288.91,    -34.90,      9.46,          53.10,  +2.35,  +1.61
  2,     UK000H,       0,  0.082163, 2459443.429200764745, 272.27116,  17.49602,              221.33077,  50.74653,       221.35174,       50.74864,    272.27116,     +17.49602,     272.25996,      +17.50371,  1915261.06, -3687373.83,  4965820.08,      50.265455,       -2.587296,  109316.56,  140353.91,    4406.28,             4380.37,     0.31,  52738.37,           54288.91,     31.75,     -8.62,          48.35,  +1.03,  +0.29
  3,     UK000H,       0,  0.122943, 2459443.429201236926, 271.70667,  16.74673,              221.57732,  49.83678,       221.58071,       49.83712,    271.70667,     +16.74673,     271.70528,      +16.74800,  1913990.29, -3687873.81,  4964025.65,      50.256278,       -2.606196,  107845.95,  140266.06,    6661.24,             6635.33,   -38.13,  55295.66,           54288.91,      5.24,     -1.42,           7.99,  +1.01,  +0.28
  4,     UK000H,       0,  0.163751, 2459443.429201709107, 271.13874,  15.96624,              221.80533,  48.89652,       221.80780,       48.89677,    271.13874,     +15.96624,     271.13802,      +15.96717,  1912681.15, -3688388.88,  4962177.05,      50.246818,       -2.625662,  106331.40,  140213.50,    8984.27,             8958.36,   -10.08,  56925.83,           54865.83,      3.88,     -1.05,           5.92,  +1.24,  +0.51
  5,     UK000H,       0,  0.204555, 2459443.429202181287, 270.57950,  15.19006,              222.02318,  47.96284,       222.02493,       47.96302,    270.57950,     +15.19006,     270.57933,      +15.19073,  1911382.44, -3688899.85,  4960343.16,      50.237425,       -2.644976,  104829.37,  140199.64,   11288.80,            11262.90,    -0.30,  56478.15,           55261.07,      2.81,     -0.76,           4.28,  +1.85,  +1.12
  6,     UK000H,       0,  0.245327, 2459443.429202653468, 270.02527,  14.44579,              222.25352,  47.05907,       222.22840,       47.05657,    270.02527,     +14.44579,     270.04104,      +14.43605,  1910122.23, -3689395.66,  4958563.65,      50.228303,       -2.663723,  103372.30,  140222.79,   13525.00,            13499.09,   -57.05,  54846.45,           55357.74,    -40.85,     11.06,          62.26,  +2.77,  +2.04
  7,     UK000H,       1,  0.286031, 2459443.429203124251, 269.51658,  13.76832,              222.46657,  46.23387,       222.40875,       46.22812,    269.51658,     +13.76832,     269.55219,      +13.74561,  1908970.55, -3689848.78,  4956937.38,      50.219961,       -2.680871,  102041.08,  140275.77,   15568.64,            15542.73,  -302.54,  50207.33,           54969.72,    -95.51,     25.81,         145.48,  +6.25,  +5.52
  0,     UK0025,       1,  0.000000, 2459443.429199814331, 310.31432,  19.31429,              156.80477,  56.74746,       156.79042,       56.73616,    310.31432,     +19.31429,     310.32552,      +19.30547,  1917626.71, -3686443.09,  4969160.58,      50.282518,       -2.552091,  112055.38,  133419.89,       0.00,              182.58,   423.22,      0.00,           51971.02,    -23.55,     21.75,          49.56,  +5.89,  +5.26
  1,     UK0025,       0,  0.040300, 2459443.429200280923, 309.79166,  18.71185,              157.95088,  56.29205,       157.94673,       56.28886,    309.79166,     +18.71185,     309.79502,      +18.70934,  1916495.26, -3686888.25,  4967562.87,      50.274360,       -2.568933,  110745.26,  132530.64,    2007.74,             2190.32,   164.55,  49819.91,           51971.02,     -6.68,      6.17,          14.16,  +2.88,  +2.27
  2,     UK0025,       0,  0.080616, 2459443.429200747516, 309.23587,  18.06865,              159.14682,  55.79639,       159.15105,       55.79957,    309.23587,     +18.06865,     309.23299,      +18.07117,  1915303.44, -3687357.16,  4965879.93,      50.265761,       -2.586666,  109365.62,  131620.92,    4122.59,             4305.16,    12.09,  52456.70,           51971.02,      6.69,     -6.18,          14.28,  +1.32,  +0.72
  3,     UK0025,       0,  0.120956, 2459443.429201214109, 308.67095,  17.39762,              160.34418,  55.26664,       160.36443,       55.28151,    308.67095,     +17.39762,     308.65620,      +17.40955,  1914087.83, -3687835.43,  4964163.40,      50.256983,       -2.604750,  107958.82,  130722.04,    6279.66,             6462.23,   -99.50,  53472.22,           51971.02,     31.53,    -29.14,          67.75,  +1.09,  +0.51
  4,     UK0025,       0,  0.161312, 2459443.429201681167, 308.02151,  16.66495,              161.67505,  54.68439,       161.68140,       54.68894,    308.02151,     +16.66495,     308.01745,      +16.66864,  1912749.30, -3688362.06,  4962273.28,      50.247310,       -2.624647,  106410.23,  129767.03,    8654.85,             8837.43,     6.13,  58856.07,           53515.67,      9.73,     -8.99,          21.06,  +1.33,  +0.76
  5,     UK0025,       0,  0.201668, 2459443.429202148225, 307.40238,  15.94172,              162.92329,  54.09452,       162.92842,       54.09811,    307.40238,     +15.94172,     307.39944,      +15.94466,  1911463.05, -3688868.13,  4960457.00,      50.238008,       -2.643775,  104922.59,  128884.06,   10937.27,            11119.85,    18.99,  56557.08,           54391.52,      7.74,     -7.15,          16.86,  +1.99,  +1.44
  6,     UK0025,       0,  0.242056, 2459443.429202615749, 306.73697,  15.15810,              164.23467,  53.44312,       164.23706,       53.44477,    306.73697,     +15.15810,     306.73622,      +15.15946,  1910090.72, -3689408.06,  4958519.15,      50.228075,       -2.664174,  103335.88,  127980.57,   13372.45,            13555.02,   182.81,  60294.54,           55337.58,      3.57,     -3.29,           7.83,  +3.29,  +2.75

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.