Orbital Analysis for matched events on 20210810_213036.950_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 201.67° Bg 78.51° Vg 16.55km/s
mass 0.02493g, abs. mag 2.0
Path Details
------------
start -3.41° 50.86° 91.26km
end   -3.39° 50.84° 83.88km

Orbit Details
-------------
Semimajor axis 2.02A.U., eccentricity 0.50, inclination 26.64°, Period 2.87Y, LA Sun 138.17°, last Perihelion 2021-08-06

Full details below
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Detailed report below graphs

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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: 2459437.396260997280
Time: 2021-08-10 21:30:36.990358 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003J
 Convergence angle = 42.38861 deg
 R.A. = 252.96560  Dec = +59.84253 deg

Best intersection: Stations UK000H and UK003J with Qconv = 42.39 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    627477.47 +/- 79.94 m
 Y =  -4043807.88 +/- 93.95 m
 Z =   4994893.17 +/- 83.15 m
 Vx =    -3210.84 +/- 189.36 m/s
 Vy =    -9469.54 +/- 37.77 m/s
 Vz =    17249.29 +/- 386.00 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.189874e+03, +6.215525e+03, -4.163860e+03, +2.374595e+04, +2.058464e+04, -8.863599e+03
+6.215525e+03, +1.009053e+04, -7.269436e+03, +2.249691e+04, +2.783636e+04, -8.859200e+03
-4.163860e+03, -7.269436e+03, +7.505046e+03, -1.343275e+04, -1.434169e+04, +4.841526e+03
+2.374595e+04, +2.249691e+04, -1.343275e+04, +8.970331e+04, +8.373115e+04, -3.371893e+04
+2.058464e+04, +2.783636e+04, -1.434169e+04, +8.373115e+04, +1.035715e+05, -3.499255e+04
-8.863599e+03, -8.859200e+03, +4.841526e+03, -3.371893e+04, -3.499255e+04, +1.424491e+04

Timing offsets (from input data):
    UK000H: -0.000271 s
    UK003J: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 21:30:36.990358 UTC
  Lon     = +-3.410459 +/- 0.0013 deg
  Lat     = +50.858885 +/- 0.0003 deg
  Lat geo = +50.673026 +/- 0.0003 deg
  Ht      =   91804.42 +/- 112.54 m

  JD dynamic   = 2459437.397062203381 
  LST apparent = 278.8202417225 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 251.26972 +/- 1.0203 deg
  Dec       = +59.89993 +/- 0.7722 deg
  Azimuth   = 310.94454 +/- 2.6586 deg
  Elevation = +72.11558 +/- 0.3787 deg
  Vavg      =  19.53406 +/- 0.3176 km/s
  Vinit     =  19.93789 +/- 0.2877 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 252.80658 +/- 1.0203 deg
  Dec       = +60.23539 +/- 0.7722 deg
  Azimuth   = 312.84372 +/- 2.6586 deg
  Elevation = +72.72522 +/- 0.3787 deg
  Vavg      =  19.46696 +/- 0.3176 km/s
  Vinit     =  19.87079 +/- 0.2877 km/s
Radiant (geocentric, J2000):
  R.A.   = 247.95752 +/- 0.9838 deg
  Dec    = +60.44048 +/- 0.8703 deg
  Vg     =  16.55486 +/- 0.3452 km/s
  Vinf   =  19.93789 +/- 0.2877 km/s
  Zc     =  18.00674 +/- 0.3749 deg
  Zg     =  19.68980 +/- 0.3785 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 201.66832 +/- 2.2050 deg
  Bg     = +78.50863 +/- 0.8757 deg
  Vh     =  36.20501 +/- 0.4279 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 226.08167 +/- 0.1796 deg
  Bh     = +26.62265 +/- 0.1668 deg
  Vh_x   =  22.45042 +/- 0.2690 km/s
  Vh_y   =  23.31450 +/- 0.2292 km/s
  Vh_z   = -16.22392 +/- 0.2829 km/s
Orbit:
  La Sun = 138.169103 +/- 0.0000 deg
  a      =   2.017769 +/- 0.1641 AU
  e      =   0.498465 +/- 0.0357
  i      =  26.637999 +/- 0.1675 deg
  peri   = 174.385891 +/- 0.4631 deg
  node   = 138.176467 +/- 0.0001 deg
  Pi     = 312.562358 +/- 0.4630 deg
  q      =   1.011981 +/- 0.0003 AU
  f      =   5.605502 +/- 0.4630 deg
  M      =   1.628185 +/- 0.2691 deg
  Q      =   3.023557 +/- 0.3282 AU
  n      =   0.343872 +/- 0.0356 deg/day
  T      =   2.866209 +/- 0.3624 years
  Last perihelion JD = 2459432.662205 (2021-08-06 03:53:34.468865) +/- 0.4085 days
  Tj     =   3.544220 +/- 0.1735
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.392456e-03, +4.327990e-08, +6.972571e-03, -3.594784e-08, +9.604124e-05, +1.070896e-04
q   , +4.327990e-08, +9.494258e-08, +1.185092e-04, -5.018834e-11, +2.482612e-06, +1.503346e-07
Tp  , +6.972571e-03, +1.185092e-04, +1.827723e-01, -2.472405e-07, +3.578656e-03, +7.373104e-04
node, -3.594784e-08, -5.018834e-11, -2.472405e-07, +1.059786e-12, -3.874889e-09, -3.155768e-09
peri, +9.604124e-05, +2.482612e-06, +3.578656e-03, -3.874889e-09, +7.153533e-05, +1.156110e-05
i   , +1.070896e-04, +1.503346e-07, +7.373104e-04, -3.155768e-09, +1.156110e-05, +9.397432e-06

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: UK003J
  Avg. res. = 2.770e-05 s
  Stddev    = 5.26e-03 s

Begin point on the trajectory:
  Lon =    -3.408599 +/- 0.0011 deg
  Lat =    50.857864 +/- 0.0003 deg
  Ht  = 91259.48 +/- 57.37 m
End point on the trajectory:
  Lon =    -3.385071 +/- 0.0009 deg
  Lat =    50.844014 +/- 0.0003 deg
  Ht  = 83879.42 +/- 50.25 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    90049.81,    83996.87,          0.015216,     37.88,      5.47,              39.25, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_213029_109_0110848.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.000399,  30.759192,    91259.48,    83879.42,          0.027960,     57.85,     20.40,              44.32, 1.0000,    True,    True, {"ff_name": "FF_UK003J_20210810_213036_340_0103680.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,       1,  0.056585, 2459437.396261654794, 215.94647,  28.61996,              270.67481,  37.58988,       270.58970,       37.61273,    215.94647,     +28.61996,     216.01879,      +28.58737,   627673.07, -4043231.00,  4993842.35,      50.856719,       -3.406583,   90648.50,  146784.58,       0.00,             1214.61,   261.99,      0.00,           17033.62,    -25.93,    180.53,         256.29,  +6.46,  +5.63
  1,     UK000H,       0,  0.096737, 2459437.396262119524, 215.93595,  28.44605,              270.52535,  37.46228,       270.52646,       37.46199,    215.93595,     +28.44605,     215.93542,      +28.44647,   627774.38, -4042932.21,  4993298.10,      50.855596,       -3.404707,   90049.81,  146307.83,     629.08,             1843.70,    90.53,  15667.53,           17033.62,      0.34,     -2.34,           3.33,  +2.90,  +2.07
  2,     UK000H,       0,  0.136893, 2459437.396262584254, 215.86519,  28.27556,              270.42605,  37.29883,       270.45490,       37.29106,    215.86519,     +28.27556,     215.84126,      +28.28659,   627888.69, -4042595.10,  4992684.03,      50.854329,       -3.402568,   89374.31,  145770.06,    1338.86,             2553.48,    -0.32,  17675.58,           17033.62,      8.82,    -61.01,          87.23,  +3.91,  +3.09
  3,     UK000H,       0,  0.177029, 2459437.396263048518, 215.73544,  28.13180,              270.39695,  37.11661,       270.38370,       37.12017,    215.73544,     +28.13180,     215.74743,      +28.12673,   628002.08, -4042260.66,  4992074.84,      50.853072,       -3.400448,   88704.17,  145238.06,    2043.01,             3257.62,   -96.40,  17543.96,           17033.62,     -4.03,     27.96,          40.12,  +2.53,  +1.72
  4,     UK000H,       0,  0.217221, 2459437.396263513714, 215.61727,  27.92236,              270.30070,  36.89561,       270.29133,       36.89813,    215.61727,     +27.92236,     215.62615,      +27.91877,   628148.71, -4041828.23,  4991287.13,      50.851447,       -3.397656,   87837.66,  144549.55,    2953.50,             4168.11,    12.75,  22653.49,           18231.23,     -2.85,     19.74,          28.46,  +2.16,  +1.36
  5,     UK000H,       0,  0.257365, 2459437.396263978444, 215.50441,  27.77002,              270.25214,  36.71770,       270.22049,       36.72620,    215.50441,     +27.77002,     215.53243,      +27.75788,   628260.82, -4041497.58,  4990684.84,      50.850203,       -3.395561,   87175.10,  144026.95,    3649.66,             4864.27,   -91.48,  17341.59,           18446.16,     -9.59,     66.56,          96.31,  +2.65,  +1.86
  6,     UK000H,       0,  0.297553, 2459437.396264443640, 215.43400,  27.56024,              270.12034,  36.52610,       270.13646,       36.52176,    215.43400,     +27.56024,     215.42150,      +27.56641,   628393.38, -4041106.62,  4989972.68,      50.848733,       -3.393052,   86391.67,  143409.17,    4472.82,             5687.44,   -69.58,  20482.82,           18741.31,      4.89,    -33.84,          49.18,  +2.18,  +1.40
  7,     UK000H,       0,  0.337745, 2459437.396264908835, 215.30434,  27.35228,              270.03700,  36.29809,       270.04415,       36.29617,    215.30434,     +27.35228,     215.29964,      +27.35502,   628538.49, -4040678.68,  4989193.16,      50.847122,       -3.390290,   85534.16,  142734.38,    5373.84,             6588.46,    30.10,  22417.97,           19170.93,      2.16,    -14.99,          21.88,  +1.43,  +0.66
  8,     UK000H,       0,  0.377945, 2459437.396265374031, 215.18268,  27.13603,              269.94114,  36.06902,       269.95072,       36.06644,    215.18268,     +27.13603,     215.17607,      +27.13971,   628684.83, -4040247.09,  4988407.00,      50.845498,       -3.387502,   84669.33,  142056.26,    6282.55,             7497.16,   137.30,  22604.59,           19600.51,      2.89,    -20.02,          29.37,  +1.85,  +1.09
  9,     UK000H,       0,  0.418105, 2459437.396265838761, 215.09472,  26.96253,              269.85746,  35.89110,       269.87786,       35.88561,    215.09472,     +26.96253,     215.07901,      +26.97036,   628798.61, -4039911.51,  4987795.74,      50.844234,       -3.385371,   83996.87,  141532.87,    6989.09,             8203.70,    43.13,  17593.05,           19709.64,      6.15,    -42.58,          62.70,  +3.61,  +2.86
  0,     UK003J,       1,  0.000000, 2459437.396260997280, 243.68341,  16.10684,              232.65750,  44.50656,       232.66684,       44.50336,    243.68341,     +16.10684,     243.67576,      +16.10754,   627467.21, -4043838.12,  4994948.26,      50.858999,       -3.410498,   91865.02,  129875.07,       0.00,               63.68,   239.25,      0.00,           19995.32,      5.57,    -15.79,          26.60,  +7.58,  +7.01
  1,     UK003J,       0,  0.040184, 2459437.396261462476, 243.61932,  15.91442,              232.59231,  44.30996,       232.55270,       44.32350,    243.61932,     +15.91442,     243.65200,      +15.91141,   627569.68, -4043535.92,  4994397.79,      50.857864,       -3.408599,   91259.48,  129425.86,     636.28,              572.60,   -53.02,  15834.11,           19995.32,    -23.59,     66.91,         113.07,  +4.65,  +4.09
  2,     UK003J,       0,  0.080420, 2459437.396261928137, 243.63907,  15.63875,              232.37169,  44.08339,       232.39428,       44.07566,    243.63907,     +15.63875,     243.62083,      +15.64046,   627710.24, -4043121.37,  4993642.66,      50.856307,       -3.405932,   90428.83,  128809.69,    1509.11,             1445.43,    17.59,  21692.70,           19995.32,     13.44,    -38.10,          64.70,  +5.26,  +4.71
  3,     UK003J,       0,  0.120676, 2459437.396262393799, 243.58944,  15.36426,              232.23324,  43.82319,       232.23415,       43.82288,    243.58944,     +15.36426,     243.58919,      +15.36433,   627852.12, -4042702.93,  4992880.46,      50.854735,       -3.403237,   89590.39,  128190.65,    2390.11,             2326.43,    95.98,  21885.07,           19995.32,      0.54,     -1.54,           2.63,  +3.81,  +3.27
  4,     UK003J,       0,  0.160888, 2459437.396262859460, 243.52861,  15.13974,              232.14420,  43.60024,       232.10409,       43.61392,    243.52861,     +15.13974,     243.56239,      +15.13668,   627967.99, -4042361.20,  4992257.97,      50.853450,       -3.401067,   88905.63,  127688.55,    3109.62,             3045.95,    13.75,  17893.01,           19820.62,    -23.78,     67.47,         115.56,  +4.18,  +3.65
  5,     UK003J,       0,  0.201104, 2459437.396263324656, 243.51891,  14.89393,              231.98254,  43.38400,       231.96532,       43.38987,    243.51891,     +14.89393,     243.53399,      +14.89261,   628091.25, -4041997.69,  4991595.82,      50.852084,       -3.398748,   88177.23,  127156.28,    3874.98,             3811.30,   -22.72,  19031.09,           19657.95,    -10.20,     28.94,          49.77,  +3.52,  +3.00
  6,     UK003J,       0,  0.241328, 2459437.396263790317, 243.53382,  14.63705,              231.78623,  43.17007,       231.82253,       43.15769,    243.53382,     +14.63705,     243.50476,      +14.63981,   628217.84, -4041624.33,  4990915.73,      50.850680,       -3.396360,   87429.09,  126611.86,    4661.08,             4597.40,   -38.60,  19543.00,           19587.53,     21.48,    -60.91,         105.21,  +3.05,  +2.54
  7,     UK003J,       0,  0.281592, 2459437.396264256444, 243.48201,  14.35066,              231.64707,  42.89769,       231.66044,       42.89313,    243.48201,     +14.35066,     243.47208,      +14.35168,   628360.87, -4041202.52,  4990147.37,      50.849093,       -3.393641,   86583.86,  125998.94,    5549.20,             5485.52,    46.74,  22057.43,           19764.23,      7.90,    -22.41,          38.90,  +3.22,  +2.72
  8,     UK003J,       0,  0.321816, 2459437.396264722105, 243.44251,  14.10418,              231.52260,  42.66559,       231.52310,       42.66542,    243.44251,     +14.10418,     243.44344,      +14.10422,   628482.55, -4040843.66,  4989493.69,      50.847743,       -3.391352,   85864.76,  125481.04,    6304.76,             6241.09,     0.32,  18783.97,           19781.32,      0.29,     -0.84,           1.46,  +2.77,  +2.28
  9,     UK003J,       0,  0.362064, 2459437.396265187766, 243.43026,  13.82746,              231.34758,  42.42045,       231.37116,       42.41244,    243.43026,     +13.82746,     243.41213,      +13.82926,   628616.61, -4040448.26,  4988773.45,      50.846255,       -3.388812,   85072.44,  124912.47,    7137.27,             7073.59,    30.37,  20684.47,           19839.30,     13.89,    -39.40,          68.98,  +3.27,  +2.79
 10,     UK003J,       0,  0.402260, 2459437.396265652962, 243.38959,  13.61638,              231.25061,  42.21804,       231.25577,       42.21628,    243.38959,     +13.61638,     243.38697,      +13.61678,   628719.31, -4040145.38,  4988221.74,      50.845115,       -3.386906,   84465.48,  124480.49,    7774.97,             7711.29,  -133.36,  15864.74,           19690.43,      3.04,     -8.61,          15.13,  +4.97,  +4.49
 11,     UK003J,       0,  0.442432, 2459437.396266118158, 243.43080,  13.40376,              231.06041,  42.05396,       231.14445,       42.02538,    243.43080,     +13.40376,     243.36239,      +13.41018,   628818.47, -4039852.94,  4987689.04,      50.844014,       -3.385071,   83879.42,  124065.26,    8390.70,             8327.02,  -318.57,  15327.36,           19437.00,     49.45,   -140.17,         247.12,  +6.19,  +5.72

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.