Orbital Analysis for matched events on 20210810_215343.157_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 89.00° Bg 61.48° Vg 39.65km/s
mass 0.09413g, abs. mag -1.1
Path Details
------------
start 1.30° 51.62° 88.87km
end   1.30° 51.56° 81.43km

Orbit Details
-------------
Semimajor axis 5.42A.U., eccentricity 0.83, inclination 66.62°, Period 12.63Y, LA Sun 138.18°, last Perihelion 2021-07-14

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: 2459437.412305059843
Time: 2021-08-10 21:53:43.157170 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK000F
 Convergence angle = 12.93056 deg
 R.A. =  32.21999  Dec = +81.24249 deg
Intersection 2 - Stations: UK000C and UK002B
 Convergence angle = 13.52143 deg
 R.A. = 116.18429  Dec = +85.89053 deg
Intersection 3 - Stations: UK000C and UK002C
 Convergence angle = 1.68961 deg
 R.A. = 181.07821  Dec = +53.00402 deg
Intersection 4 - Stations: UK000F and UK002B
 Convergence angle = 26.36402 deg
 R.A. =  63.92052  Dec = +84.14719 deg
Intersection 5 - Stations: UK000F and UK002C
 Convergence angle = 14.18080 deg
 R.A. =  63.84041  Dec = +84.14432 deg
Intersection 6 - Stations: UK002B and UK002C
 Convergence angle = 12.18322 deg
 R.A. =  63.98947  Dec = +84.15438 deg

Best intersection: Stations UK000F and UK002B with Qconv = 26.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1331374.24 +/- 114.61 m
 Y =  -3796488.19 +/- 21.05 m
 Z =   5046543.38 +/- 34.09 m
 Vx =      417.32 +/- 877.93 m/s
 Vy =     3073.84 +/- 236.30 m/s
 Vz =    41065.31 +/- 418.13 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.417670e+04, +1.084300e+03, +2.463177e+03, +8.358805e+04, +9.151359e+03, +3.322190e+04
+1.084300e+03, +4.227864e+02, +3.070812e+02, +1.024569e+04, +4.032200e+03, +3.873215e+03
+2.463177e+03, +3.070812e+02, +1.179148e+03, +2.051201e+04, +2.547506e+03, +7.853449e+03
+8.358805e+04, +1.024569e+04, +2.051201e+04, +8.621795e+05, +1.562793e+05, +3.277043e+05
+9.151359e+03, +4.032200e+03, +2.547506e+03, +1.562793e+05, +5.471209e+04, +5.773642e+04
+3.322190e+04, +3.873215e+03, +7.853449e+03, +3.277043e+05, +5.773642e+04, +1.249522e+05

Timing offsets (from input data):
    UK000C: -0.001706 s
    UK000F: 0.000000 s
    UK002B: -0.001940 s
    UK002C: -0.000604 s
    UK002F: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 21:53:43.157170 UTC
  Lon     = ++1.302832 +/- 0.0016 deg
  Lat     = +51.622573 +/- 0.0002 deg
  Lat geo = +51.437707 +/- 0.0002 deg
  Ht      =   88869.10 +/- 39.25 m

  JD dynamic   = 2459437.413105800748 
  LST apparent = 289.3250405921 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  82.26845 +/- 12.4608 deg
  Dec       = +85.68013 +/- 0.6136 deg
  Azimuth   =   2.92025 +/- 1.8149 deg
  Elevation = +47.73692 +/- 0.2616 deg
  Vavg      =  40.36151 +/- 0.4449 km/s
  Vinit     =  41.18231 +/- 0.3780 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  77.65182 +/- 12.4608 deg
  Dec       = +85.48044 +/- 0.6136 deg
  Azimuth   =   3.52601 +/- 1.8149 deg
  Elevation = +47.71994 +/- 0.2616 deg
  Vavg      =  40.37260 +/- 0.4449 km/s
  Vinit     =  41.19340 +/- 0.3780 km/s
Radiant (geocentric, J2000):
  R.A.   =  84.63006 +/- 11.3720 deg
  Dec    = +84.89498 +/- 0.5568 deg
  Vg     =  39.65431 +/- 0.3923 km/s
  Vinf   =  41.18231 +/- 0.3780 km/s
  Zc     =  42.44771 +/- 0.2618 deg
  Zg     =  43.28888 +/- 0.2762 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  89.00079 +/- 2.5348 deg
  Bg     = +61.47592 +/- 0.3325 deg
  Vh     =  39.83550 +/- 0.2066 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 189.44496 +/- 0.6544 deg
  Bh     = +61.00275 +/- 1.3408 deg
  Vh_x   =  19.04918 +/- 0.8761 km/s
  Vh_y   =   3.16893 +/- 0.3190 km/s
  Vh_z   = -34.84184 +/- 0.2720 km/s
Orbit:
  La Sun = 138.184499 +/- nan deg
  a      =   5.422736 +/- 0.4351 AU
  e      =   0.832035 +/- 0.0178
  i      =  66.621078 +/- 1.2767 deg
  peri   = 140.961447 +/- 1.0512 deg
  node   = 138.186076 +/- 0.0001 deg
  Pi     = 279.147523 +/- 1.0511 deg
  q      =   0.910833 +/- 0.0061 AU
  f      =  39.034369 +/- 1.0512 deg
  M      =   2.135384 +/- 0.3230 deg
  Q      =   9.934640 +/- 0.8748 AU
  n      =   0.078051 +/- 0.0124 deg/day
  T      =  12.627819 +/- 1.4466 years
  Last perihelion JD = 2459410.054138 (2021-07-14 13:17:57.546023) +/- 0.5171 days
  Tj     =   1.409098 +/- 0.0728
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.407289e-04, -9.422832e-05, -5.086559e-03, +3.240485e-08, -2.467953e-04, -4.139273e-04
q   , -9.422832e-05, +4.234689e-05, +3.293982e-03, -1.060506e-08, +1.248405e-04, +1.351702e-04
Tp  , -5.086559e-03, +3.293982e-03, +2.954212e-01, -6.758028e-07, +1.025551e-02, +8.603489e-03
node, +3.240485e-08, -1.060506e-08, -6.758028e-07, +3.260424e-12, -2.921022e-08, -4.163650e-08
peri, -2.467953e-04, +1.248405e-04, +1.025551e-02, -2.921022e-08, +3.756166e-04, +3.721890e-04
i   , -4.139273e-04, +1.351702e-04, +8.603489e-03, -4.163650e-08, +3.721890e-04, +5.317758e-04

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: UK000F
  Avg. res. = 5.347e-07 s
  Stddev    = 7.31e-04 s

Begin point on the trajectory:
  Lon =     1.302834 +/- 0.0016 deg
  Lat =    51.622591 +/- 0.0001 deg
  Ht  = 88871.38 +/- 41.07 m
End point on the trajectory:
  Lon =     1.296871 +/- 0.0022 deg
  Lat =    51.562630 +/- 0.0004 deg
  Ht  = 81429.98 +/- 80.04 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,    87498.95,    81429.98,          0.009254,     14.45,     22.99,              53.23, 0.6417,    True,    True, {"ff_name": "FF_UK000C_20210810_215342_176_0148736.fits"}
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    88871.38,    82926.97,          0.018499,     43.56,     48.64,              72.98, 0.9143,    True,    True, {"ff_name": "FF_UK000F_20210810_215335_418_0140800.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.032234,  39.076401,    86475.74,    82932.87,          0.003383,      5.34,     12.05,              51.71, 0.6161,    True,   False, {"ff_name": "FF_UK002B_20210810_215337_133_0151552.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,    87737.12,    81620.28,          0.016066,     33.80,     56.63,              64.46, 0.8141,    True,    True, {"ff_name": "FF_UK002C_20210810_215338_273_0145408.fits"}
    UK002F,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    87876.83,    81675.38,          0.029841,       nan,       nan,              72.98, 0.0000,    True,    True, {"ff_name": "FF_UK002F_20210810_215341_756_0136192.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,     UK000C,       0,  0.049816, 2459437.412305655889,   8.72529,  32.75915,               73.84693,  30.03242,        73.84570,       30.03112,      8.72529,     +32.75915,       8.72750,      +32.75901,  1331355.48, -3796626.39,  5044697.11,      51.611547,       +1.301713,   87498.95,  171323.21,       0.00,             1851.53,    58.26,      0.00,           41460.55,      4.26,      2.67,           6.05,  +1.27,  +0.10
  1,     UK000C,       0,  0.089976, 2459437.412306120619,   8.68266,  32.34757,               74.21484,  29.76979,        74.21422,       29.76914,      8.68266,     +32.34757,       8.68404,      +32.34749,  1331340.40, -3796737.46,  5043213.18,      51.602681,       +1.300820,   86397.87,  170488.22,    1488.15,             3339.69,  -107.47,  37055.56,           41460.55,      2.14,      1.35,           3.06,  +0.59,  -0.57
  2,     UK000C,       0,  0.130168, 2459437.412306585815,   8.63168,  31.85318,               74.65439,  29.45317,        74.65420,       29.45297,      8.63168,     +31.85318,       8.63253,      +31.85316,  1331322.49, -3796869.37,  5041450.95,      51.592149,       +1.299789,   85090.47,  169510.10,    3255.41,             5106.94,     4.59,  43970.33,           41460.55,      0.65,      0.41,           0.93,  +0.30,  -0.85
  3,     UK000C,       0,  0.170340, 2459437.412307050545,   8.56358,  31.37140,               75.09315,  29.15470,        75.08155,       29.14263,      8.56358,     +31.37140,       8.58269,      +31.37005,  1331305.18, -3796996.85,  5039747.87,      51.581967,       +1.298788,   83827.14,  168576.69,    4963.34,             6814.88,    58.15,  42515.55,           41460.55,     39.26,     24.67,          56.73,  +0.45,  -0.68
  4,     UK000C,       0,  0.210516, 2459437.412307515740,   8.51563,  30.90392,               75.50431,  28.85318,        75.49264,       28.84108,      8.51563,     +30.90392,       8.53491,      +30.90256,  1331288.61, -3797118.90,  5038117.26,      51.572213,       +1.297823,   82617.75,  167694.02,    6598.59,             8450.13,    38.86,  40702.12,           41498.01,     39.26,     24.67,          57.03,  +0.29,  -0.83
  5,     UK000C,       0,  0.250712, 2459437.412307980936,   8.49071,  30.43832,               75.89584,  28.53808,        75.89828,       28.54060,      8.49071,     +30.43832,       8.48794,      +30.43861,  1331272.34, -3797238.79,  5036515.59,      51.562630,       +1.296871,   81429.98,  166837.88,    8204.83,            10056.36,   -10.27,  39960.17,           41288.92,     -8.16,     -5.12,          11.91,  +0.46,  -0.65
  0,     UK000F,       0,  0.000000, 2459437.412305059843, 354.79165,  14.66468,               98.11220,  24.97008,        98.11358,       24.97127,    354.79165,     +14.66468,     354.78986,      +14.66481,  1331374.27, -3796487.96,  5046546.46,      51.622591,       +1.302834,   88871.38,  204061.14,       0.00,                3.09,   261.37,      0.00,           39163.09,     -4.60,     -4.12,           6.24,  +2.32,  +0.77
  1,     UK000F,       0,  0.040320, 2459437.412305526435, 354.75281,  14.29307,               98.40270,  24.70549,        98.39837,       24.70175,    354.75281,     +14.29307,     354.75856,      +14.29265,  1331360.33, -3796590.63,  5045174.76,      51.614400,       +1.301994,   87853.40,  203703.38,    1375.61,             1372.52,   -29.67,  34117.28,           39163.09,     14.38,     12.87,          19.54,  +0.76,  -0.78
  2,     UK000F,       0,  0.080716, 2459437.412305993959, 354.71178,  13.82836,               98.75813,  24.36934,        98.75206,       24.36412,    354.71178,     +13.82836,     354.71992,      +13.82777,  1331343.00, -3796718.34,  5043468.66,      51.604208,       +1.300990,   86587.43,  203273.04,    3086.57,             3083.48,    17.70,  42354.73,           39163.09,     20.09,     17.98,          27.36,  +0.44,  -1.10
  3,     UK000F,       0,  0.121092, 2459437.412306461483, 354.66965,  13.38885,               99.09543,  24.05279,        99.08510,       24.04392,    354.66965,     +13.38885,     354.68343,      +13.38785,  1331326.65, -3796838.71,  5041860.54,      51.594598,       +1.300035,   85394.32,  202879.19,    4699.27,             4696.18,   -32.38,  39942.08,           39163.09,     34.16,     30.57,          46.60,  +0.31,  -1.23
  4,     UK000F,       0,  0.161496, 2459437.412306929007, 354.63494,  12.91544,               99.44817,  23.70462,        99.44130,       23.69873,    354.63494,     +12.91544,     354.64442,      +12.91478,  1331309.15, -3796967.63,  5040138.27,      51.584301,       +1.299023,   84116.72,  202471.52,    6426.45,             6423.36,    30.87,  42747.68,           40064.93,     22.69,     20.30,          31.01,  +0.45,  -1.08
  5,     UK000F,       0,  0.201868, 2459437.412307396065, 354.56480,  12.47573,               99.80575,  23.40364,        99.77267,       23.37536,    354.56480,     +12.47573,     354.60801,      +12.47253,  1331292.85, -3797087.69,  5038534.20,      51.574708,       +1.298070,   82926.97,  202103.66,    8035.09,             8032.00,   -23.11,  39845.38,           40291.07,    109.01,     97.64,         149.36,  +0.91,  -0.62
  0,     UK002B,       0,  0.082653, 2459437.412306038663,  22.43743,  33.08841,               63.78929,  21.70504,        63.78728,       21.70303,     22.43743,     +33.08841,      22.44104,      +33.08820,  1331341.47, -3796729.61,  5043318.13,      51.603309,       +1.300901,   86475.74,  224679.86,       0.00,             3234.44,    88.86,      0.00,           39672.90,      9.82,     -4.35,           9.86,  +1.02,  -0.74
  1,     UK002B,       0,  0.122849, 2459437.412306503858,  22.41303,  32.75603,               64.04718,  21.47397,        64.04955,       21.47634,     22.41303,     +32.75603,      22.40971,      +32.75629,  1331325.27, -3796848.93,  5041724.00,      51.593781,       +1.299953,   85293.03,  223752.76,    1598.67,             4833.11,    32.17,  39771.92,           39672.90,    -11.57,      5.13,          11.66,  +0.76,  -0.99
  2,     UK002B,       0,  0.163045, 2459437.412306969054,  22.38402,  32.42566,               64.30600,  21.24671,        64.30969,       21.25039,     22.38402,     +32.42566,      22.37876,      +32.42605,  1331309.28, -3796966.69,  5040150.78,      51.584376,       +1.299015,   84125.99,  222845.16,    3176.38,             6410.82,   -45.48,  39250.40,           39672.90,    -17.90,      7.93,          18.12,  +1.23,  -0.51
  3,     UK002B,       0,  0.203237, 2459437.412307434250,  22.34440,  32.08569,               64.57820,  21.01816,        64.57706,       21.01702,     22.34440,     +32.08569,      22.34709,      +32.08556,  1331292.93, -3797087.10,  5038542.16,      51.574755,       +1.298060,   82932.87,  221925.12,    4789.58,             8024.02,   -87.48,  40137.29,           39672.90,      5.54,     -2.45,           5.63,  +0.93,  -0.80
  0,     UK002C,       0,  0.043439, 2459437.412305569276,   9.51249,  21.58369,               81.08214,  20.80148,        81.10183,       20.82056,      9.51249,     +21.58369,       9.48425,      +21.58576,  1331358.74, -3796602.36,  5045018.07,      51.613464,       +1.301902,   87737.12,  235904.62,       0.00,             1529.66,    -0.97,      0.00,           41317.70,    -93.75,    -55.95,          95.46,  +1.97,  +0.11
  1,     UK002C,       0,  0.083691, 2459437.412306035403,   9.47372,  21.22031,               81.36852,  20.55335,        81.38299,       20.56735,      9.47372,     +21.22031,       9.45324,      +21.22182,  1331342.22, -3796724.08,  5043392.00,      51.603750,       +1.300938,   86530.54,  235266.54,    1630.70,             3160.37,   -27.93,  40512.35,           41317.70,    -68.69,    -41.00,          70.13,  +0.86,  -1.00
  2,     UK002C,       0,  0.123955, 2459437.412306501530,   9.43524,  20.83542,               81.66904,  20.28857,        81.67960,       20.29877,      9.43524,     +20.83542,       9.42060,      +20.83652,  1331324.82, -3796852.21,  5041680.23,      51.593520,       +1.299932,   85260.56,  234605.77,    3347.34,             4877.01,    30.54,  42634.58,           41317.70,    -49.98,    -29.84,          51.17,  +0.83,  -1.02
  3,     UK002C,       0,  0.164211, 2459437.412306967191,   9.40297,  20.46883,               81.95117,  20.03331,        81.96094,       20.04273,      9.40297,     +20.46883,       9.38966,      +20.46985,  1331308.35, -3796973.50,  5040059.85,      51.583832,       +1.298971,   84058.55,  233989.60,    4972.34,             6502.01,    -2.29,  40366.70,           41317.70,    -46.12,    -27.54,          47.35,  +0.87,  -0.98
  4,     UK002C,       0,  0.204463, 2459437.412307433318,   9.34879,  20.09345,               82.25511,  19.78465,        82.24924,       19.77901,      9.34879,     +20.09345,       9.35803,      +20.09284,  1331291.51, -3797097.54,  5038402.68,      51.573921,       +1.297992,   82829.43,  233369.69,    6634.23,             8163.89,     1.92,  41287.04,           41260.37,     27.60,     16.49,          28.42,  +0.75,  -1.09
  5,     UK002C,       0,  0.244731, 2459437.412307899445,   9.33153,  19.71955,               82.52946,  19.51391,        82.53344,       19.51774,      9.33153,     +19.71955,       9.32688,      +19.71997,  1331274.94, -3797219.58,  5036772.22,      51.564166,       +1.297026,   81620.28,  232769.56,    8269.34,             9799.01,   -21.29,  40605.76,           41150.45,    -18.72,    -11.18,          19.32,  +1.13,  -0.70
  0,     UK002F,       1,  0.041143, 2459437.412305536214, 354.81844,  14.29678,               98.34577,  24.66829,        98.39184,       24.70803,    354.81844,     +14.29678,     354.75923,      +14.30126,  1331360.65, -3796588.27,  5045206.33,      51.614589,       +1.302006,   87876.83,  203711.06,       0.00,             1340.86,   -95.20,      0.00,           41882.98,   -153.08,   -136.69,         207.80,  +2.84,  +1.29
  1,     UK002F,       1,  0.081291, 2459437.412306000479, 354.74680,  13.81787,               98.73632,  24.33981,        98.75798,       24.35845,    354.74680,     +13.81787,     354.71928,      +13.81997,  1331342.70, -3796720.48,  5043440.10,      51.604037,       +1.300974,   86566.24,  203265.98,    1771.26,             3112.12,    22.67,  44118.32,           41882.98,    -71.78,    -64.16,          97.69,  +0.54,  -1.00
  2,     UK002F,       1,  0.121443, 2459437.412306465209, 354.70587,  13.38766,               99.06618,  24.02978,        99.08396,       24.04505,    354.70587,     +13.38766,     354.68354,      +13.38938,  1331326.71, -3796838.29,  5041866.11,      51.594631,       +1.300036,   85398.45,  202880.41,    3349.74,             4690.60,   -52.40,  39312.56,           41882.98,    -58.83,    -52.59,          80.23,  +0.18,  -1.36
  3,     UK002F,       1,  0.161615, 2459437.412306930404, 354.66475,  12.91385,               99.42448,  23.68522,        99.44081,       23.69921,    354.66475,     +12.91385,     354.64447,      +12.91543,  1331309.17, -3796967.45,  5040140.64,      51.584315,       +1.299024,   84118.47,  202472.03,    5080.13,             6420.99,    23.61,  43074.50,           41882.98,    -53.97,    -48.25,          73.75,  +0.07,  -1.46
  4,     UK002F,       1,  0.201783, 2459437.412307395134, 354.62263,  12.43514,               99.78516,  23.33671,        99.79947,       23.34893,    354.62263,     +12.43514,     354.60516,      +12.43653,  1331291.53, -3797097.44,  5038404.08,      51.573929,       +1.298007,   82830.46,  202075.22,    6821.64,             8162.50,   110.91,  43355.59,           42211.11,    -47.18,    -42.18,          64.59,  -0.00,  -1.53
  5,     UK002F,       1,  0.241919, 2459437.412307859864, 354.56260,  12.00593,              100.12560,  23.03715,       100.12079,       23.03305,    354.56260,     +12.00593,     354.56976,      +12.00547,  1331275.70, -3797214.02,  5036846.51,      51.564610,       +1.297077,   81675.38,  201730.37,    8383.64,             9724.50,    20.02,  38917.74,           41834.65,     15.83,     14.17,          21.72,  +0.39,  -1.13

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.