Orbital Analysis for matched events on 20210816_021610.018_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 21.48° Bg 0.92° Vg 61.77km/s
mass 0.00392g, abs. mag 1.0
Path Details
------------
start -1.12° 51.21° 103.93km
end   -1.22° 51.31° 90.49km

Orbit Details
-------------
Semimajor axis 6.29A.U., eccentricity 0.95, inclination 177.55°, Period 15.78Y, LA Sun 143.16°, last Perihelion 2005-12-12

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: 2459442.594560398255
Time: 2021-08-16 02:16:10.043917 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002W
 Convergence angle = 66.22410 deg
 R.A. =  19.80828  Dec =  +9.65078 deg
Intersection 2 - Stations: UK000F and UK0038
 Convergence angle = 66.38434 deg
 R.A. =  19.87732  Dec =  +9.62417 deg
Intersection 3 - Stations: UK002W and UK0038
 Convergence angle = 0.17365 deg
 R.A. =  37.35801  Dec = +25.01878 deg

Best intersection: Stations UK000F and UK0038 with Qconv = 66.38 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4065631.49 +/- 154.28 m
 Y =   -168698.64 +/- 31.77 m
 Z =   5029042.29 +/- 38.86 m
 Vx =    58260.45 +/- 339.93 m/s
 Vy =    20809.37 +/- 335.47 m/s
 Vz =    10573.10 +/- 203.83 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.995659e+04, +3.384738e+03, +2.387904e+03, -5.490610e+03, -2.644316e+04, -1.463324e+03
+3.384738e+03, +1.134413e+03, +9.873036e+02, +6.869018e+02, -1.497207e+03, +2.287548e+03
+2.387904e+03, +9.873036e+02, +1.470723e+03, +5.186572e+03, -1.446657e+02, +5.873534e+03
-5.490610e+03, +6.869018e+02, +5.186572e+03, +4.401420e+04, +1.543485e+04, +3.920325e+04
-2.644316e+04, -1.497207e+03, -1.446657e+02, +1.543485e+04, +6.780843e+04, +1.492086e+04
-1.463324e+03, +2.287548e+03, +5.873534e+03, +3.920325e+04, +1.492086e+04, +3.902286e+04

Timing offsets (from input data):
    UK000F: -0.000035 s
    UK002W: -0.001542 s
    UK0038: -0.001782 s

Reference point on the trajectory:
  Time: 2021-08-16 02:16:10.043917 UTC
  Lon     = +-1.118099 +/- 0.0005 deg
  Lat     = +51.207809 +/- 0.0010 deg
  Lat geo = +51.022770 +/- 0.0010 deg
  Ht      =  103852.33 +/- 113.62 m

  JD dynamic   = 2459442.595361434389 
  LST apparent = 357.6239414067 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  19.65562 +/- 0.2405 deg
  Dec       =  +9.69845 +/- 0.1465 deg
  Azimuth   = 148.63692 +/- 0.3199 deg
  Elevation = +44.72884 +/- 0.1622 deg
  Vavg      =  60.49727 +/- 0.1837 km/s
  Vinit     =  62.76226 +/- 0.2709 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  19.90991 +/- 0.2405 deg
  Dec       =  +9.68127 +/- 0.1465 deg
  Azimuth   = 148.31248 +/- 0.3199 deg
  Elevation = +44.62933 +/- 0.1622 deg
  Vavg      =  60.60759 +/- 0.1837 km/s
  Vinit     =  62.87258 +/- 0.2709 km/s
Radiant (geocentric, J2000):
  R.A.   =  19.49960 +/- 0.2415 deg
  Dec    =  +9.22845 +/- 0.1506 deg
  Vg     =  61.77274 +/- 0.2752 km/s
  Vinf   =  62.76226 +/- 0.2709 km/s
  Zc     =  45.11324 +/- 0.1623 deg
  Zg     =  45.49144 +/- 0.1659 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  21.47719 +/- 0.2256 deg
  Bg     =  +0.92184 +/- 0.1693 deg
  Vh     =  40.13844 +/- 0.2209 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 358.39883 +/- 0.4201 deg
  Bh     =  +1.41889 +/- 0.2568 deg
  Vh_x   = -40.11047 +/- 0.2213 km/s
  Vh_y   =   1.12121 +/- 0.2907 km/s
  Vh_z   =  -0.99390 +/- 0.1855 km/s
Orbit:
  La Sun = 143.161085 +/- -0.0000 deg
  a      =   6.292151 +/- 0.9091 AU
  e      =   0.949398 +/- 0.0055
  i      = 177.546264 +/- 0.4509 deg
  peri   = 293.985834 +/- 1.2136 deg
  node   = 143.087189 +/- 0.0102 deg
  Pi     =  77.073022 +/- 1.2106 deg
  q      =   0.318392 +/- 0.0082 AU
  f      = 245.938727 +/- 1.2167 deg
  M      = 357.554066 +/- 0.4551 deg
  Q      =  12.265909 +/- 1.8127 AU
  n      =   0.062446 +/- 0.0116 deg/day
  T      =  15.783355 +/- 3.5924 years
  Last perihelion JD = 2453716.793304 (2005-12-12 07:02:21.493969) +/- 1312.2060 days
  Tj     =   0.137050 +/- 0.1113
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.800775e-05, +2.558128e-05, -6.670279e+00, +7.600529e-07, -7.953138e-05, -3.405106e-05
q   , +2.558128e-05, +6.198908e-05, -6.759882e+00, +2.783765e-07, -1.593550e-04, -1.297663e-05
Tp  , -6.670279e+00, -6.759882e+00, +1.653410e+06, -1.707352e-01, +2.041312e+01, +7.819741e+00
node, +7.600529e-07, +2.783765e-07, -1.707352e-01, +2.992551e-08, -1.220548e-06, -1.304870e-06
peri, -7.953138e-05, -1.593550e-04, +2.041312e+01, -1.220548e-06, +4.205476e-04, +5.575338e-05
i   , -3.405106e-05, -1.297663e-05, +7.819741e+00, -1.304870e-06, +5.575338e-05, +5.783312e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 6.002591
 a2 = 14.253612

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 5.914e-07 s
  Stddev    = 7.69e-04 s

Begin point on the trajectory:
  Lon =    -1.117528 +/- 0.0002 deg
  Lat =    51.207221 +/- 0.0007 deg
  Ht  = 103929.41 +/- 77.44 m
End point on the trajectory:
  Lon =    -1.218813 +/- 0.0001 deg
  Lat =    51.309958 +/- 0.0009 deg
  Ht  = 90489.17 +/- 130.37 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   4.611382,  15.067221,   103929.41,    90489.17,          0.018193,     37.84,     11.06,              16.52, 0.0809,    True,    True, {"ff_name": "FF_UK000F_20210816_021602_919_0553728.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,  18.502201,  10.351314,   102874.78,    92474.34,          0.022665,     49.09,      4.99,              31.39, 0.2713,    True,    True, {"ff_name": "FF_UK002W_20210816_021608_068_0552192.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   103877.48,    97145.63,          0.013796,     32.82,      3.36,              31.88, 0.2790,    True,   False, {"ff_name": "FF_UK0038_20210816_021607_693_0552192.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,     UK000F,       0,  0.000890, 2459442.594560693484,   3.59583,  15.30226,              170.07615,  53.08994,       170.05482,       53.11852,      3.59583,     +15.30226,       3.60575,      +15.33208,  4065733.15,  -168662.33,  5029060.74,      51.207221,       -1.117528,  103929.41,  129249.15,       0.00,              109.52,   523.10,      0.00,           60585.35,    -19.82,     67.82,         112.76,  +4.58,  +4.02
  1,     UK000F,       0,  0.040710, 2459442.594561154488,   3.34050,  15.43199,              170.46102,  53.24555,       170.47332,       53.22898,      3.34050,     +15.43199,       3.33489,      +15.41474,  4063796.61,  -169354.02,  5028709.29,      51.218416,       -1.128561,  102461.37,  127250.61,    2086.18,             1976.66,  -108.96,  52390.32,           60585.35,     11.32,    -38.64,          65.27,  +2.51,  +1.99
  2,     UK000F,       0,  0.080546, 2459442.594561615493,   2.97310,  15.49983,              171.03866,  53.34948,       171.02281,       53.37137,      2.97310,     +15.49983,       2.98093,      +15.52255,  4061346.78,  -170229.05,  5028264.70,      51.232584,       -1.142488,  100604.68,  124726.93,    4725.31,             4615.79,    29.98,  66249.87,           60585.35,    -14.56,     49.82,          85.83,  +1.77,  +1.29
  3,     UK000F,       0,  0.120342, 2459442.594562076032,   2.64312,  15.63516,              171.54766,  53.51501,       171.55433,       53.50569,      2.64312,     +15.63516,       2.64043,      +15.62551,  4059085.03,  -171036.89,  5027854.23,      51.245670,       -1.155373,   98891.01,  122401.41,    7161.82,             7052.30,   -31.20,  61225.06,           60585.35,      6.08,    -20.77,          36.46,  +2.08,  +1.64
  4,     UK000F,       0,  0.160162, 2459442.594562537037,   2.26841,  15.72089,              172.13959,  53.63320,       172.12957,       53.64753,      2.26841,     +15.72089,       2.27391,      +15.73569,  4056743.97,  -171873.07,  5027429.38,      51.259221,       -1.168719,   97117.71,  119999.19,    9683.78,             9574.26,    -8.44,  63333.89,           61387.90,     -9.12,     31.18,          55.84,  +1.69,  +1.29
  5,     UK000F,       0,  0.199982, 2459442.594562997576,   1.92311,  15.81522,              172.68532,  53.75533,       172.67026,       53.77732,      1.92311,     +15.81522,       1.93129,      +15.83786,  4054642.78,  -172623.57,  5027048.06,      51.271388,       -1.180727,   95526.52,  117847.42,   11947.33,            11837.80,  -244.08,  56844.45,           60968.13,    -13.69,     46.83,          85.40,  +1.24,  +0.88
  6,     UK000F,       0,  0.239754, 2459442.594563458115,   1.51668,  15.94934,              173.32802,  53.91959,       173.32130,       53.92960,      1.51668,     +15.94934,       1.52100,      +15.95962,  4052220.93,  -173488.60,  5026608.54,      51.285419,       -1.194557,   93692.98,  115372.89,   14556.32,            14446.80,  -131.27,  65598.83,           61313.76,     -6.08,     20.80,          38.75,  +1.83,  +1.52
  7,     UK000F,       0,  0.279550, 2459442.594563918654,   1.13525,  16.06346,              173.93622,  54.05953,       173.93079,       54.06781,      1.13525,     +16.06346,       1.13914,      +16.07193,  4050062.57,  -174259.52,  5026216.84,      51.297928,       -1.206915,   92059.35,  113172.75,   16881.46,            16771.94,  -303.82,  58426.37,           61217.33,     -4.92,     16.81,          31.92,  +2.17,  +1.90
  8,     UK000F,       0,  0.319342, 2459442.594564379193,   0.75583,  16.18357,              174.54379,  54.20290,       174.54389,       54.20275,      0.75583,     +16.18357,       0.75711,      +16.18342,  4047987.53,  -175000.68,  5025840.26,      51.309958,       -1.218813,   90489.17,  111062.48,   19116.84,            19007.32,  -565.87,  56176.63,           60836.45,      0.08,     -0.29,           0.56,  +3.15,  +2.92
  0,     UK002W,       0,  0.026989, 2459442.594560742378,  45.40568,  30.53196,              100.79137,  48.53573,       100.78977,       48.54182,     45.40568,     +30.53196,      45.40153,      +30.53699,  4064342.00,  -169159.22,  5028808.27,      51.215263,       -1.125351,  102874.78,  136363.79,       0.00,             1389.13,   164.70,      0.00,           61707.03,      1.49,    -14.64,          22.26,  +2.40,  +1.73
  1,     UK002W,       0,  0.067121, 2459442.594561207108,  45.88771,  30.83184,              100.03031,  48.44975,       100.02876,       48.45533,     45.88771,     +30.83184,      45.88407,      +30.83647,  4062218.09,  -169917.84,  5028422.82,      51.227545,       -1.137445,  101264.97,  134416.02,    2288.03,             3677.16,   -66.05,  57012.54,           61707.03,      1.35,    -13.25,          20.44,  +2.47,  +1.83
  2,     UK002W,       0,  0.107273, 2459442.594561671838,  46.45803,  31.18048,               99.14092,  48.34130,        99.13924,       48.34697,     46.45803,     +31.18048,      46.45450,      +31.18521,  4059802.41,  -170780.66,  5027984.42,      51.241519,       -1.151192,   99434.50,  132215.16,    4890.37,             6279.50,    16.26,  64812.17,           61707.03,      1.35,    -13.27,          20.82,  +2.02,  +1.41
  3,     UK002W,       0,  0.147417, 2459442.594562136568,  47.02066,  31.53282,               98.25911,  48.23766,        98.26060,       48.23286,     47.02066,     +31.53282,      47.02445,      +31.52879,  4057482.37,  -171609.33,  5027563.38,      51.254946,       -1.164416,   97676.98,  130115.25,    7389.67,             8778.80,    -3.96,  62258.59,           61707.03,     -1.13,     11.07,          17.64,  +1.63,  +1.06
  4,     UK002W,       0,  0.187585, 2459442.594562601298,  47.59072,  31.84564,               97.41865,  48.09998,        97.41332,       48.11620,     47.59072,     +31.84564,      47.58036,      +31.85934,  4055303.81,  -172387.46,  5027168.02,      51.267560,       -1.176857,   96027.06,  128156.12,    9736.57,            11125.70,  -178.10,  58427.03,           61209.29,      3.77,    -36.96,          59.79,  +1.49,  +0.95
  5,     UK002W,       0,  0.227725, 2459442.594563066028,  48.14243,  32.17709,               96.57872,  47.98440,        96.57532,       47.99427,     48.14243,     +32.17709,      48.13657,      +32.18547,  4053202.83,  -173137.89,  5026786.73,      51.279730,       -1.188874,   94436.29,  126279.15,   11999.89,            13389.02,  -434.05,  56385.70,           60378.20,      2.27,    -22.22,          36.47,  +2.30,  +1.79
  6,     UK002W,       0,  0.267953, 2459442.594563531689,  48.88811,  32.55102,               95.53213,  47.77507,        95.51236,       47.82904,     48.88811,     +32.55102,      48.85255,      +32.59726,  4050610.89,  -174063.67,  5026316.35,      51.294749,       -1.203677,   92474.34,  123983.40,   14792.11,            16181.24,  -166.64,  69409.82,           61051.06,     12.15,   -119.66,         200.09,  +3.86,  +3.39
  0,     UK0038,       0,  0.000000, 2459442.594560428523,  45.54069,  30.67556,              100.49818,  48.55260,       100.50568,       48.52443,     45.54069,     +30.67556,      45.55993,      +30.65228,  4065664.66,  -168686.80,  5029048.30,      51.207617,       -1.117817,  103877.48,  137561.90,       0.00,               35.73,   505.19,      0.00,           59751.99,     -7.00,     68.33,         102.99,  +2.84,  +2.15
  1,     UK0038,       0,  0.039872, 2459442.594560889993,  45.99528,  30.92028,               99.82226,  48.44416,        99.82184,       48.44565,     45.99528,     +30.92028,      45.99433,      +30.92152,  4063744.27,  -169372.71,  5028699.79,      51.218719,       -1.128759,  102421.70,  135803.02,    2068.77,             2033.04,     0.05,  51885.28,           59751.99,      0.37,     -3.58,           5.46,  +1.90,  +1.24
  2,     UK0038,       0,  0.079704, 2459442.594561350998,  46.52449,  31.23188,               99.01055,  48.33467,        99.00730,       48.34560,     46.52449,     +31.23188,      46.51725,      +31.24100,  4061512.72,  -170169.78,  5028294.81,      51.231625,       -1.141460,  100730.43,  133771.68,    4472.76,             4437.03,   -95.91,  60353.16,           59751.99,      2.64,    -25.88,          40.11,  +2.10,  +1.47
  3,     UK0038,       0,  0.119496, 2459442.594561811537,  47.11969,  31.60207,               98.08122,  48.22269,        98.08084,       48.22391,     47.11969,     +31.60207,      47.11926,      +31.60309,  4059043.90,  -171051.59,  5027846.77,      51.245908,       -1.155509,   98859.85,  131540.02,    7132.34,             7096.61,    66.24,  66837.18,           59751.99,      0.29,     -2.84,           4.48,  +1.87,  +1.27
  4,     UK0038,       0,  0.159308, 2459442.594562272541,  47.69422,  31.94158,               97.20864,  48.09993,        97.20790,       48.10218,     47.69422,     +31.94158,      47.69326,      +31.94348,  4056780.83,  -171859.90,  5027436.07,      51.259008,       -1.168416,   97145.63,  129508.04,    9570.28,             9534.55,     5.48,  61236.22,           60776.79,      0.53,     -5.18,           8.29,  +1.39,  +0.83

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.