Orbital Analysis for matched events on 20210810_014815.875_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 45.99° Bg 19.44° Vg 64.77km/s
mass 0.00634g, abs. mag 0.2
Path Details
------------
start -2.34° 51.99° 107.82km
end   -2.48° 51.99° 96.03km

Orbit Details
-------------
Semimajor axis 3.18A.U., eccentricity 0.68, inclination 145.76°, Period 5.67Y, LA Sun 137.38°, last Perihelion 2015-12-15

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: 2459436.575183743611
Time: 2021-08-10 01:48:15.915842 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK000S
 Convergence angle = 46.10325 deg
 R.A. =  37.03225  Dec = +36.41987 deg
Intersection 2 - Stations: UK0006 and UK001Z
 Convergence angle = 68.11671 deg
 R.A. =  36.72883  Dec = +36.65968 deg
Intersection 3 - Stations: UK0006 and UK0027
 Convergence angle = 40.64941 deg
 R.A. =  36.32939  Dec = +36.97196 deg
Intersection 4 - Stations: UK000S and UK001Z
 Convergence angle = 22.01528 deg
 R.A. =  37.04568  Dec = +37.26635 deg
Intersection 5 - Stations: UK000S and UK0027
 Convergence angle = 5.48060 deg
 R.A. =  36.95297  Dec = +31.03157 deg
Intersection 6 - Stations: UK001Z and UK0027
 Convergence angle = 27.46958 deg
 R.A. =  36.42926  Dec = +36.07638 deg

Best intersection: Stations UK0006 and UK001Z with Qconv = 68.12 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3839360.42 +/- 50.36 m
 Y =  -1135766.55 +/- 30.80 m
 Z =   5088243.82 +/- 188.52 m
 Vx =    42878.57 +/- 650.52 m/s
 Vy =    32104.80 +/- 582.10 m/s
 Vz =    38072.66 +/- 873.33 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.707754e+03, +7.699770e+02, +5.565753e+03, +2.966935e+03, -3.461130e+03, +1.779374e+04
+7.699770e+02, +1.014030e+03, -3.666539e+02, -9.546997e+02, +1.618739e+03, -8.401325e+03
+5.565753e+03, -3.666539e+02, +3.861514e+04, +8.695664e+03, -1.134591e+04, +1.726914e+05
+2.966935e+03, -9.546997e+02, +8.695664e+03, +1.033801e+04, -8.027675e+03, +3.775149e+04
-3.461130e+03, +1.618739e+03, -1.134591e+04, -8.027675e+03, +1.475442e+04, -6.016905e+04
+1.779374e+04, -8.401325e+03, +1.726914e+05, +3.775149e+04, -6.016905e+04, +8.639045e+05

Timing offsets (from input data):
    UK0006: 0.000348 s
    UK000S: 0.000358 s
    UK001Z: -0.000036 s
    UK0027: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:48:15.915842 UTC
  Lon     = +-2.312983 +/- 0.0005 deg
  Lat     = +51.985267 +/- 0.0009 deg
  Lat geo = +51.801552 +/- 0.0009 deg
  Ht      =  109678.80 +/- 166.54 m

  JD dynamic   = 2459436.575984952040 
  LST apparent = 343.5206338326 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  36.82358 +/- 0.1496 deg
  Dec       = +35.40388 +/- 0.6150 deg
  Azimuth   =  92.36203 +/- 0.6812 deg
  Elevation = +49.14864 +/- 0.4484 deg
  Vavg      =  63.77856 +/- 0.3467 km/s
  Vinit     =  65.71770 +/- 0.5312 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  37.00939 +/- 0.1496 deg
  Dec       = +35.28584 +/- 0.6150 deg
  Azimuth   =  92.34610 +/- 0.6812 deg
  Elevation = +48.95682 +/- 0.4484 deg
  Vavg      =  63.96974 +/- 0.3467 km/s
  Vinit     =  65.90889 +/- 0.5312 km/s
Radiant (geocentric, J2000):
  R.A.   =  36.78206 +/- 0.1524 deg
  Dec    = +35.10624 +/- 0.6223 deg
  Vg     =  64.77417 +/- 0.5387 km/s
  Vinf   =  65.71770 +/- 0.5312 km/s
  Zc     =  40.84413 +/- 0.4464 deg
  Zg     =  41.15263 +/- 0.4545 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  45.98630 +/- 0.1914 deg
  Bg     = +19.43925 +/- 0.6084 deg
  Vh     =  38.35489 +/- 0.6975 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  44.17870 +/- 0.3764 deg
  Bh     = +34.19959 +/- 0.7770 deg
  Vh_x   = -22.75059 +/- 0.1036 km/s
  Vh_y   = -22.10753 +/- 0.3156 km/s
  Vh_z   = -21.55842 +/- 0.8422 km/s
Orbit:
  La Sun = 137.381269 +/- -0.0000 deg
  a      =   3.178301 +/- 2.6823 AU
  e      =   0.681887 +/- 0.0632
  i      = 145.758864 +/- 0.7706 deg
  peri   = 186.535016 +/- 0.9139 deg
  node   = 137.377398 +/- 0.0001 deg
  Pi     = 323.912413 +/- 0.9138 deg
  q      =   1.011059 +/- 0.0005 AU
  f      = 353.458790 +/- 0.9140 deg
  M      = 359.093438 +/- 0.2212 deg
  Q      =   5.345543 +/- 5.3643 AU
  n      =   0.173945 +/- 0.0399 deg/day
  T      =   5.666216 +/- 11.2869 years
  Last perihelion JD = 2457372.166374 (2015-12-15 15:59:34.737400) +/- 4123.1354 days
  Tj     =   0.692348 +/- 0.3332
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.346862e-03, +3.258817e-05, -2.433397e+02, +1.611654e-07, -9.913247e-04, -9.134652e-04
q   , +3.258817e-05, +3.078928e-07, -1.480463e+00, +1.247441e-09, -9.254311e-06, -7.021621e-06
Tp  , -2.433397e+02, -1.480463e+00, +1.798740e+07, -8.214924e-03, +4.653025e+01, +4.717969e+01
node, +1.611654e-07, +1.247441e-09, -8.214924e-03, +6.252398e-12, -3.751403e-08, -3.525200e-08
peri, -9.913247e-04, -9.254311e-06, +4.653025e+01, -3.751403e-08, +2.791120e-04, +2.114460e-04
i   , -9.134652e-04, -7.021621e-06, +4.717969e+01, -3.525200e-08, +2.114460e-04, +1.988885e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.042740
 a2 = 34.010775

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 1.644e-06 s
  Stddev    = 1.28e-03 s

Begin point on the trajectory:
  Lon =    -2.335977 +/- 0.0001 deg
  Lat =    51.985851 +/- 0.0007 deg
  Ht  = 107819.74 +/- 132.11 m
End point on the trajectory:
  Lon =    -2.483229 +/- 0.0004 deg
  Lat =    51.989456 +/- 0.0005 deg
  Ht  = 96030.67 +/- 45.46 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105488.55,    97333.06,          0.040818,     62.99,     66.27,              71.83, 0.9028,   False,    True, {"ff_name": "FF_UK0006_20210810_014815_167_0477184.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.005071,  40.316178,   103728.52,    96030.67,          0.004379,     11.62,      5.57,              69.06, 0.8723,    True,    True, {"ff_name": "FF_UK000S_20210810_014817_264_0493824.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   106434.97,    96880.88,          0.042577,    118.75,     22.41,              48.49, 0.5608,    True,    True, {"ff_name": "FF_UK001Z_20210810_014815_979_0490240.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.000007,  64.937324,   107819.74,    96140.65,          0.025910,     49.18,     27.58,              47.63, 0.5459,    True,    True, {"ff_name": "FF_UK0027_20210810_014815_074_0488960.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,     UK0006,       0,  0.093815, 2459436.575184825342, 291.19284,  44.39902,              279.52900,  54.46983,       279.40047,       54.47538,    291.19284,     +44.39902,     291.25459,      +44.33831,  3835745.27, -1138473.35,  5085033.86,      51.986577,       -2.365059,  105488.55,  128987.10,       0.00,             5540.76,  -636.55,      0.00,           70498.79,   -122.20,   -116.17,         269.63,  +3.21,  +2.66
  1,     UK0006,       0,  0.134991, 2459436.575185302179, 289.52704,  43.42944,              279.22645,  52.93756,       279.21170,       52.93819,    289.52704,     +43.42944,     289.53499,      +43.42233,  3833430.05, -1140206.84,  5082978.13,      51.987404,       -2.398476,  102806.08,  128158.70,    3548.41,             9089.17,   205.86,  86176.61,           70498.79,    -14.44,    -13.73,          32.07,  +1.70,  +1.16
  2,     UK0006,       0,  0.175895, 2459436.575185775291, 288.21430,  42.70663,              279.10510,  51.73898,       279.07353,       51.74033,    288.21430,     +42.70663,     288.23142,      +42.69117,  3831647.12, -1141541.79,  5081395.04,      51.988035,       -2.424268,  100740.87,  127586.26,    6281.00,            11821.77,   250.34,  66805.11,           70498.79,    -31.63,    -30.06,          70.55,  +0.15,  -0.38
  3,     UK0006,       0,  0.216735, 2459436.575186247937, 287.10543,  42.00401,              278.91894,  50.66589,       278.95546,       50.66433,    287.10543,     +42.00401,     287.08681,      +42.02211,  3830059.35, -1142730.61,  5079985.23,      51.988593,       -2.447270,   98902.11,  127124.81,    8714.50,            14255.26,    -0.07,  59586.00,           70498.79,     37.31,     35.45,          83.51,  +0.11,  -0.41
  4,     UK0006,       0,  0.257459, 2459436.575186719652, 286.15628,  41.40599,              278.79409,  49.74212,       278.85811,       49.73940,    286.15628,     +41.40599,     286.12230,      +41.43807,  3828704.24, -1143745.24,  5078782.00,      51.989065,       -2.466937,   97333.06,  126767.90,   10791.41,            16332.17,  -599.45,  50999.80,           65409.33,     66.52,     63.19,         149.28,  +1.16,  +0.64
  0,     UK000S,       1,  0.078503, 2459436.575184647925, 215.03965,  72.08518,              342.34306,  38.00534,       342.41599,       37.95703,    215.03965,     +72.08518,     214.79599,      +72.08303,  3836207.75, -1138127.08,  5085444.50,      51.986410,       -2.358357,  106024.50,  170086.97,       0.00,             4831.94,  -339.12,      0.00,           68004.57,     96.58,    200.89,         270.31,  +5.70,  +4.55
  1,     UK000S,       0,  0.119103, 2459436.575185117777, 214.91518,  71.09982,              341.61264,  37.20681,       341.61899,       37.20263,    214.91518,     +71.09982,     214.89544,      +71.09963,  3834226.28, -1139610.68,  5083685.12,      51.987120,       -2.386973,  103728.52,  169201.71,    3036.89,             7868.83,    29.63,  74800.31,           68004.57,      8.38,     17.45,          23.60,  +2.06,  +0.92
  2,     UK000S,       0,  0.159551, 2459436.575185586233, 214.98655,  70.30420,              340.97988,  36.59238,       340.98538,       36.58878,    214.98655,     +70.30420,     214.97032,      +70.30405,  3832639.12, -1140799.05,  5082275.85,      51.987684,       -2.409943,  101889.85,  168529.54,    5469.45,            10301.39,  -195.96,  60140.47,           68004.57,      7.25,     15.10,          20.50,  +1.29,  +0.16
  3,     UK000S,       0,  0.200095, 2459436.575186055154, 215.05907,  69.34638,              340.23362,  35.84700,       340.23639,       35.84520,    215.05907,     +69.34638,     215.05175,      +69.34631,  3830743.61, -1142218.28,  5080592.80,      51.988353,       -2.437360,   99694.48,  167769.14,    8374.59,            13206.53,    44.73,  71654.02,           68004.57,      3.65,      7.60,          10.36,  +0.89,  -0.23
  4,     UK000S,       0,  0.240571, 2459436.575186524075, 215.10826,  68.50404,              339.59228,  35.18567,       339.58904,       35.18776,    215.10826,     +68.50404,     215.11847,      +68.50412,  3829091.28, -1143455.45,  5079125.66,      51.988931,       -2.461297,   97781.18,  167145.31,   10907.04,            15738.98,   -82.82,  62566.53,           67021.39,     -4.26,     -8.88,          12.15,  +1.10,  -0.02
  5,     UK000S,       0,  0.281007, 2459436.575186992064, 215.17745,  67.72782,              339.00051,  34.57942,       339.00137,       34.57886,    215.17745,     +67.72782,     215.17625,      +67.72779,  3827579.23, -1144587.58,  5077783.08,      51.989456,       -2.483229,   96030.67,  166606.61,   13224.48,            18056.42,  -422.74,  57311.37,           65355.95,      1.13,      2.36,           3.24,  +4.67,  +3.56
  0,     UK001Z,       0,  0.062218, 2459436.575184463989, 109.68962,  72.06359,               18.34878,  38.43867,        18.35290,       38.43431,    109.68962,     +72.06359,     109.69101,      +72.05819,  3836561.93, -1137861.88,  5085758.99,      51.986283,       -2.353209,  106434.97,  168917.32,       0.00,             4289.10,   188.25,      0.00,           66080.14,      2.97,     15.70,          19.51,  +3.06,  +1.92
  1,     UK001Z,       0,  0.102550, 2459436.575184931047, 111.53558,  72.08226,               17.77501,  38.09194,        17.77000,       38.09719,    111.53558,     +72.08226,     111.53530,      +72.08882,  3835178.36, -1138897.82,  5084530.49,      51.986780,       -2.373235,  104831.64,  167597.02,    2120.53,             6409.63,  -341.75,  52576.91,           66080.14,     -3.57,    -18.87,          23.63,  +3.41,  +2.29
  2,     UK001Z,       0,  0.143046, 2459436.575185399503, 114.24784,  72.07159,               16.94748,  37.57279,        16.92501,       37.59610,    114.24784,     +72.07159,     114.24957,      +72.10092,  3833182.94, -1140391.87,  5082758.72,      51.987492,       -2.402062,  102519.81,  165723.66,    5178.81,             9467.91,    55.23,  75520.52,           66080.14,    -15.76,    -83.36,         105.58,  +2.26,  +1.16
  3,     UK001Z,       0,  0.183486, 2459436.575185867492, 116.69530,  72.04103,               16.20033,  37.10745,        16.17045,       37.13812,    116.69530,     +72.04103,     116.70271,      +72.07982,  3831416.92, -1141714.15,  5081190.64,      51.988116,       -2.427611,  100474.25,  164095.32,    7885.48,            12174.58,   104.28,  66930.60,           66080.14,    -20.65,   -109.29,         139.81,  +1.35,  +0.27
  4,     UK001Z,       0,  0.223922, 2459436.575186335482, 119.04080,  71.96386,               15.50235,  36.63913,        15.45063,       36.69169,    119.04080,     +71.96386,     119.06165,      +72.03053,  3829744.92, -1142966.04,  5079706.04,      51.988703,       -2.451825,   98538.01,  162580.26,   10448.08,            14737.18,     9.51,  63374.13,           65938.51,    -35.20,   -186.70,         241.04,  +1.42,  +0.36
  5,     UK001Z,       0,  0.264282, 2459436.575186803006, 121.07794,  71.90254,               14.87860,  36.25042,        14.82990,       36.29953,    121.07794,     +71.90254,     121.10448,      +71.96492,  3828313.66, -1144037.68,  5078435.19,      51.989201,       -2.472588,   96880.88,  161304.21,   12641.70,            16930.80,  -449.24,  54351.27,           64245.92,    -32.82,   -173.93,         226.34,  +2.13,  +1.09
  0,     UK0027,       1,  0.000000, 2459436.575183743611,   0.06715,  83.48619,                3.46629,  57.56824,         3.54522,       57.49665,      0.06715,     +83.48619,       0.63423,      +83.53925,  3839346.85, -1135776.71,  5088231.77,      51.985272,       -2.313009,  109663.07,  129531.84,       0.00,               20.80,     8.76,      0.00,           66246.74,     92.10,    163.98,         299.48,  +5.28,  +4.72
  1,     UK0027,       0,  0.040412, 2459436.575184211135, 355.23965,  84.14116,                2.19824,  57.08848,         2.22280,       57.06691,    355.23965,     +84.14116,     355.41708,      +84.15896,  3837756.72, -1136967.31,  5086819.86,      51.985851,       -2.335977,  107819.74,  127961.66,    2437.11,             2457.92,  -209.91,  60306.71,           66246.74,     27.70,     49.41,          91.31,  +1.70,  +1.16
  2,     UK0027,       0,  0.080856, 2459436.575184679590, 347.16228,  84.80238,                0.60836,  56.55679,         0.64860,       56.52271,    347.16228,     +84.80238,     347.43619,      +84.83468,  3835862.52, -1138385.56,  5085137.97,      51.986534,       -2.363324,  105624.43,  126127.57,    5340.25,             5361.05,    35.34,  71781.65,           66246.74,     43.79,     78.07,         146.38,  +1.37,  +0.87
  3,     UK0027,       0,  0.121292, 2459436.575185147580, 337.96510,  85.32371,              359.19976,  56.02377,       359.22799,       56.00060,    337.96510,     +85.32371,     338.12857,      +85.34841,  3834152.87, -1139665.64,  5083619.94,      51.987146,       -2.388038,  103643.47,  124507.41,    7960.54,             7981.34,    -1.73,  64800.86,           66246.74,     29.80,     53.14,         100.93,  +1.10,  +0.62
  4,     UK0027,       0,  0.161740, 2459436.575185615569, 326.28279,  85.69620,              357.75973,  55.46352,       357.78937,       55.43991,    326.28279,     +85.69620,     326.39374,      +85.72399,  3832417.79, -1140964.76,  5082079.33,      51.987763,       -2.413134,  101633.48,  122898.75,   10619.81,            10640.61,    -0.61,  65745.47,           66186.34,     30.42,     54.24,         104.37,  +0.71,  +0.26
  5,     UK0027,       0,  0.202188, 2459436.575186083559, 313.16612,  85.86709,              356.37628,  54.88769,       356.40234,       54.86748,    313.16612,     +85.86709,     313.18777,      +85.89221,  3830739.83, -1142221.11,  5080589.44,      51.988354,       -2.437424,   99690.10,  121378.53,   13191.53,            13212.33,   -87.04,  63580.81,           65796.75,     26.07,     46.49,          90.58,  +0.30,  -0.12
  6,     UK0027,       0,  0.242688, 2459436.575186552480, 298.58826,  85.81102,              354.94116,  54.23684,       354.94807,       54.23163,    298.58826,     +85.81102,     298.57182,      +85.81749,  3828971.93, -1143544.80,  5079019.69,      51.988972,       -2.463024,   97643.01,  119815.99,   15901.09,            15921.89,   -39.05,  66902.67,           65776.31,      6.74,     12.03,          23.74,  +0.44,  +0.05
  7,     UK0027,       0,  0.283064, 2459436.575187020004, 288.34198,  85.60105,              353.89394,  53.73522,       353.88341,       53.74302,    288.34198,     +85.60105,     288.39040,      +85.59175,  3827674.24, -1144516.44,  5077867.44,      51.989423,       -2.481871,   96140.65,  118695.71,   17890.00,            17910.80,  -703.55,  49259.74,           64393.91,    -10.10,    -18.03,          35.91,  +1.84,  +1.47

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.