Orbital Analysis for matched events on 20210929_004716.565_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 81.25° Bg 53.29° Vg 50.02km/s
mass 0.00523g, abs. mag 1.3
Path Details
------------
start -2.40° 51.68° 106.58km
end   -2.43° 51.64° 97.02km

Orbit Details
-------------
Semimajor axis 9.05A.U., eccentricity 0.89, inclination 88.87°, Period 27.25Y, LA Sun 185.81°, last Perihelion 1994-07-18

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: 2459486.532830621116
Time: 2021-09-29 00:47:16.565664 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK000S
 Convergence angle = 60.20617 deg
 R.A. =  69.46873  Dec = +75.44483 deg
Intersection 2 - Stations: UK0006 and UK003Z
 Convergence angle = 48.27395 deg
 R.A. =  68.36990  Dec = +75.50293 deg
Intersection 3 - Stations: UK000S and UK003Z
 Convergence angle = 11.93440 deg
 R.A. =  70.60176  Dec = +74.47164 deg

Best intersection: Stations UK0006 and UK000S with Qconv = 60.21 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3843747.95 +/- 21.03 m
 Y =   1206645.91 +/- 56.07 m
 Z =   5064730.05 +/- 59.05 m
 Vx =     4839.53 +/- 144.67 m/s
 Vy =    11452.74 +/- 547.30 m/s
 Vz =    49707.01 +/- 648.47 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.296562e+02, -9.935272e+02, +8.205416e+02, +1.789345e+03, -5.610792e+03, +3.102107e+03
-9.935272e+02, +3.370063e+03, -2.401092e+03, -4.216863e+03, +2.003659e+04, -1.600289e+04
+8.205416e+02, -2.401092e+03, +3.741867e+03, +3.359265e+03, -1.465017e+04, +2.060636e+04
+1.789345e+03, -4.216863e+03, +3.359265e+03, +1.165110e+04, -2.379408e+04, +3.856646e+04
-5.610792e+03, +2.003659e+04, -1.465017e+04, -2.379408e+04, +1.520186e+05, -4.419862e+04
+3.102107e+03, -1.600289e+04, +2.060636e+04, +3.856646e+04, -4.419862e+04, +3.637187e+05

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK000S: -0.001442 s
    UK001Z: 0.000000 s
    UK003Z: -0.001599 s

Reference point on the trajectory:
  Time: 2021-09-29 00:47:16.565664 UTC
  Lon     = +-2.398248 +/- 0.0008 deg
  Lat     = +51.684075 +/- 0.0003 deg
  Lat geo = +51.499806 +/- 0.0003 deg
  Ht      =  106557.29 +/- 47.04 m

  JD dynamic   = 2459486.533631362021 
  LST apparent = 17.4283407794 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  67.09275 +/- 0.9407 deg
  Dec       = +75.95668 +/- 0.4311 deg
  Azimuth   =  21.14507 +/- 0.9370 deg
  Elevation = +59.15218 +/- 0.1074 deg
  Vavg      =  51.66869 +/- 0.4763 km/s
  Vinit     =  51.23839 +/- 0.5665 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  67.95345 +/- 0.9407 deg
  Dec       = +75.71247 +/- 0.4311 deg
  Azimuth   =  21.74018 +/- 0.9370 deg
  Elevation = +59.04919 +/- 0.1074 deg
  Vavg      =  51.72384 +/- 0.4763 km/s
  Vinit     =  51.29354 +/- 0.5665 km/s
Radiant (geocentric, J2000):
  R.A.   =  67.82537 +/- 0.9415 deg
  Dec    = +76.05634 +/- 0.4385 deg
  Vg     =  50.02192 +/- 0.5804 km/s
  Vinf   =  51.23839 +/- 0.5665 km/s
  Zc     =  31.01975 +/- 0.1067 deg
  Zg     =  31.40177 +/- 0.1096 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  81.24800 +/- 0.2387 deg
  Bg     = +53.29287 +/- 0.4781 deg
  Vh     =  40.90238 +/- 0.6088 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   0.18323 +/- 2.7593 deg
  Bh     = +78.66742 +/- 0.1073 deg
  Vh_x   =  -8.03743 +/- 0.1102 km/s
  Vh_y   =  -0.02570 +/- 0.3845 km/s
  Vh_z   = -40.10491 +/- 0.6028 km/s
Orbit:
  La Sun = 185.808381 +/- 0.0000 deg
  a      =   9.054666 +/- 2.4321 AU
  e      =   0.893839 +/- 0.0524
  i      =  88.874402 +/- 0.5563 deg
  peri   = 203.915988 +/- 1.0194 deg
  node   = 185.809432 +/- 0.0000 deg
  Pi     =  29.725420 +/- 1.0194 deg
  q      =   0.961248 +/- 0.0020 AU
  f      = 336.082994 +/- 1.0194 deg
  M      = 359.381896 +/- 0.7251 deg
  Q      =  17.148083 +/- 4.8625 AU
  n      =   0.036174 +/- 0.0345 deg/day
  T      =  27.246408 +/- 10.0970 years
  Last perihelion JD = 2449551.696787 (1994-07-18 04:43:22.367444) +/- 3688.8441 days
  Tj     =   0.597997 +/- 0.2889
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.818994e-03, +9.911985e-05, -1.867654e+02, -2.165983e-09, -9.319272e-04, +1.214939e-04
q   , +9.911985e-05, +4.023118e-06, -6.597236e+00, -4.704277e-11, -3.550445e-05, +2.634168e-06
Tp  , -1.867654e+02, -6.597236e+00, +1.474850e+07, +3.000925e-04, +6.075664e+01, -1.686197e+01
node, -2.165983e-09, -4.704277e-11, +3.000925e-04, +3.113079e-14, +5.168757e-10, -1.752707e-09
peri, -9.319272e-04, -3.550445e-05, +6.075664e+01, +5.168757e-10, +3.226545e-04, -2.896135e-05
i   , +1.214939e-04, +2.634168e-06, -1.686197e+01, -1.752707e-09, -2.896135e-05, +9.868001e-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: UK0006
  Avg. res. = 6.432e-06 s
  Stddev    = 2.54e-03 s

Begin point on the trajectory:
  Lon =    -2.398168 +/- 0.0008 deg
  Lat =    51.684204 +/- 0.0003 deg
  Ht  = 106583.49 +/- 32.05 m
End point on the trajectory:
  Lon =    -2.428379 +/- 0.0004 deg
  Lat =    51.637011 +/- 0.0003 deg
  Ht  = 97016.83 +/- 48.41 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,   106583.49,    97318.33,          0.021150,     44.97,     18.76,              60.42, 0.7564,    True,    True, {"ff_name": "FF_UK0006_20210929_004713_820_0576256.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   106027.20,    97567.86,          0.011772,     23.49,     18.27,              30.93, 0.2641,    True,    True, {"ff_name": "FF_UK000S_20210929_004713_131_0569600.fits"}
    UK001Z,    True,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   107091.87,    95021.74,          0.101258,       nan,       nan,              11.15, 0.0000,    True,    True, {"ff_name": "FF_UK001Z_20210929_004713_462_0567552.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,   106194.50,    97016.83,          0.016453,     35.01,     16.71,              34.28, 0.3173,    True,    True, {"ff_name": "FF_UK003Z_20210929_004715_802_0575744.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,  0.000000, 2459486.532830621116, 335.69247,  31.75521,              253.99849,  53.03441,       254.06326,       53.01374,    335.69247,     +31.75521,     335.64269,      +31.76760,  3843750.83,  1206652.73,  5064759.65,      51.684204,       -2.398168,  106583.49,  132720.59,       0.00,               30.51,   103.43,      0.00,           53611.98,    -39.35,    -94.28,         158.77,  +5.24,  +4.63
  1,     UK0006,       0,  0.040548, 2459486.532831090502, 335.41577,  31.15477,              253.58976,  52.43858,       253.57386,       52.44364,    335.41577,     +31.15477,     335.42820,      +31.15171,  3843589.66,  1206271.32,  5063104.26,      51.676988,       -2.402827,  105118.54,  131873.01,    1706.39,             1675.87,  -328.82,  42083.15,           53611.98,      9.66,     23.23,          39.35,  +2.97,  +2.37
  2,     UK0006,       0,  0.081376, 2459486.532831563149, 335.12270,  30.18510,              252.80515,  51.56082,       252.83336,       51.55190,    335.12270,     +30.18510,     335.10116,      +30.19055,  3843342.09,  1205685.44,  5060561.46,      51.665898,       -2.409894,  102868.50,  130600.21,    4327.52,             4297.01,   200.35,  64199.41,           53611.98,    -17.25,    -41.41,          70.85,  +2.47,  +1.89
  3,     UK0006,       0,  0.122056, 2459486.532832033932, 334.84031,  29.41715,              252.26083,  50.83044,       252.25938,       50.83090,    334.84031,     +29.41715,     334.84195,      +29.41687,  3843146.45,  1205222.46,  5058552.02,      51.657128,       -2.415515,  101090.57,  129624.54,    6398.88,             6368.36,   187.33,  50918.30,           53611.98,      0.89,      2.14,           3.70,  +2.34,  +1.78
  4,     UK0006,       0,  0.162632, 2459486.532832503319, 334.63477,  28.75656,              251.77197,  50.22048,       251.78625,       50.21599,    334.63477,     +28.75656,     334.62428,      +28.75934,  3842982.60,  1204834.71,  5056869.10,      51.649779,       -2.420251,   99601.67,  128828.53,    8133.64,             8103.12,  -156.96,  42753.35,           51530.78,     -8.80,    -21.14,          36.66,  +3.57,  +3.02
  5,     UK0006,       0,  0.203532, 2459486.532832976896, 334.27971,  27.73844,              251.08730,  49.25166,       251.07169,       49.25654,    334.27971,     +27.73844,     334.29284,      +27.73539,  3842731.30,  1204240.00,  5054287.95,      51.638501,       -2.427426,   97318.33,  127640.17,   10794.31,            10763.80,   408.07,  65053.19,           52877.80,      9.66,     23.23,          40.66,  +3.83,  +3.30
  0,     UK000S,       0,  0.005504, 2459486.532830701675, 280.14681,  72.57273,              334.93211,  45.56028,       334.91577,       45.57298,    280.14681,     +72.57273,     280.20187,      +72.56822,  3843689.63,  1206507.90,  5064131.05,      51.681464,       -2.399902,  106027.20,  147289.24,       0.00,              617.45,   408.33,      0.00,           49028.62,    -26.98,     34.67,          61.52,  +3.66,  +2.82
  1,     UK000S,       0,  0.045608, 2459486.532831165940, 279.93568,  72.30448,              334.63231,  45.38192,       334.62254,       45.38948,    279.93568,     +72.30448,     279.96830,      +72.30183,  3843559.46,  1206199.85,  5062794.06,      51.675636,       -2.403695,  104844.04,  146102.75,    1378.18,             1995.63,  -268.35,  34365.15,           49028.62,    -15.98,     20.55,          36.75,  +3.69,  +2.87
  2,     UK000S,       0,  0.085816, 2459486.532831631135, 279.49597,  71.80736,              334.09574,  45.03182,       334.08076,       45.04333,    279.49597,     +71.80736,     279.54478,      +71.80340,  3843320.04,  1205633.26,  5060334.96,      51.664910,       -2.410533,  102668.08,  143926.43,    3913.05,             4530.49,   206.32,  63043.82,           49028.62,    -24.12,     31.00,          56.29,  +2.37,  +1.58
  3,     UK000S,       0,  0.125944, 2459486.532832095399, 279.28284,  71.43491,              333.67711,  44.79655,       333.68759,       44.78854,    279.28284,     +71.43491,     279.25010,      +71.43762,  3843149.67,  1205230.08,  5058585.08,      51.657272,       -2.415448,  101119.81,  142386.10,    5716.84,             6334.28,   -45.98,  44950.94,           49028.62,     16.67,    -21.47,          39.37,  +2.10,  +1.33
  4,     UK000S,       0,  0.166128, 2459486.532832560595, 278.92327,  70.98735,              333.20428,  44.47950,       333.21104,       44.47436,    278.92327,     +70.98735,     278.90300,      +70.98906,  3842945.51,  1204746.94,  5056488.17,      51.648115,       -2.421305,   99264.68,  140547.89,    7878.34,             8495.79,    56.56,  53790.18,           50041.56,     10.59,    -13.64,          25.35,  +2.89,  +2.15
  5,     UK000S,       0,  0.206312, 2459486.532833025791, 278.57730,  70.56852,              332.77269,  44.17442,       332.76824,       44.17779,    278.57730,     +70.56852,     278.59172,      +70.56741,  3842758.76,  1204305.00,  5054570.06,      51.639734,       -2.426678,   97567.86,  138874.94,    9855.55,            10473.00,   -25.20,  49203.84,           50211.11,     -6.90,      8.89,          16.71,  +4.01,  +3.30
  0,     UK001Z,       1, -0.011632, 2459486.532830486540, 112.68199,  74.32508,               23.14805,  46.86152,        22.98734,       46.84931,    112.68199,     +74.32508,     112.88554,      +74.42111,  3843806.76,  1206785.08,  5065334.09,      51.686707,       -2.396562,  107091.87,  145628.10,       0.00,              622.65,  1291.60,     -0.00,           54119.42,   -204.79,   -192.50,         398.09,  +6.56,  +5.74
  1,     UK001Z,       1,  0.028472, 2459486.532830950804, 113.03620,  74.23219,               23.21644,  46.73642,        23.00066,       46.71965,    113.03620,     +74.23219,     113.31354,      +74.36075,  3843649.97,  1206414.04,  5063723.72,      51.679689,       -2.401096,  105666.73,  143998.69,    1659.98,             1037.33,  -348.60,  41391.86,           54119.42,   -271.87,   -256.98,         535.87,  +3.95,  +3.16
  2,     UK001Z,       1,  0.068644, 2459486.532831415534, 113.72927,  74.16714,               23.19085,  46.53759,        23.02338,       46.52491,    113.72927,     +74.16714,     113.94723,      +74.26678,  3843421.71,  1205873.85,  5061379.17,      51.669465,       -2.407623,  103592.03,  141629.19,    4076.76,             3454.11,     9.84,  60160.94,           54119.42,   -208.86,   -196.12,         417.26,  +2.47,  +1.71
  3,     UK001Z,       1,  0.108816, 2459486.532831880730, 114.38967,  74.08476,               23.18987,  46.33906,        23.04600,       46.32832,    114.38967,     +74.08476,     114.57957,      +74.17019,  3843198.74,  1205346.19,  5059089.05,      51.659472,       -2.414003,  101565.72,  139316.27,    6437.43,             5814.78,   312.16,  58764.05,           54119.42,   -177.41,   -165.98,         359.70,  +2.87,  +2.15
  4,     UK001Z,       1,  0.148968, 2459486.532832345460, 114.95909,  73.98866,               23.21867,  46.15640,        23.06633,       46.14503,    114.95909,     +73.98866,     115.16301,      +74.07888,  3842997.16,  1204869.17,  5057018.69,      51.650433,       -2.419788,   99734.02,  137226.44,    8571.58,             7948.93,   388.99,  53151.72,           54591.76,   -185.64,   -173.69,         382.13,  +2.78,  +2.09
  5,     UK001Z,       1,  0.189128, 2459486.532832810190, 115.58382,  73.93136,               23.18436,  45.97609,        23.08532,       45.96890,    115.58382,     +73.93136,     115.71795,      +73.98994,  3842808.99,  1204423.86,  5055085.94,      51.641989,       -2.425200,   98024.22,  135276.61,   10563.87,             9941.22,   323.54,  49608.86,           54014.74,   -119.70,   -111.23,         249.15,  +3.28,  +2.62
  6,     UK001Z,       1,  0.229304, 2459486.532833274920, 116.25403,  73.83978,               23.18290,  45.76875,        23.10817,       45.76340,    116.25403,     +73.83978,     116.35681,      +73.88388,  3842596.28,  1203920.49,  5052901.25,      51.632439,       -2.431297,   96091.73,  133074.61,   12815.88,            12193.22,   516.99,  56053.46,           54027.23,    -89.30,    -82.69,         188.64,  +3.59,  +2.97
  7,     UK001Z,       1,  0.269400, 2459486.532833739184, 116.57234,  73.76327,               23.22284,  45.65491,        23.11809,       45.64733,    116.57234,     +73.76327,     116.71748,      +73.82495,  3842478.51,  1203641.78,  5051691.58,      51.627148,       -2.434748,   95021.74,  131854.64,   14062.81,            13440.16,  -290.53,  31098.73,           52124.90,   -124.17,   -115.26,         265.02,  +5.37,  +4.77
  0,     UK003Z,       0,  0.006397, 2459486.532830713782, 295.78459,  67.46064,              324.95460,  48.57191,       324.93729,       48.58612,    295.78459,     +67.46064,     295.82955,      +67.45459,  3843708.04,  1206551.45,  5064320.10,      51.682288,       -2.399394,  106194.50,  140630.22,       0.00,              422.57,   167.70,      0.00,           49880.18,    -19.30,     40.44,          65.72,  +4.13,  +3.39
  1,     UK003Z,       0,  0.046757, 2459486.532831180841, 295.45538,  67.04221,              324.42664,  48.30995,       324.42465,       48.31158,    295.45538,     +67.04221,     295.46066,      +67.04153,  3843528.03,  1206125.47,  5062471.24,      51.674228,       -2.404576,  104558.38,  139048.13,    1905.82,             2328.39,     5.54,  47220.48,           49880.18,     -2.19,      4.59,           7.54,  +2.21,  +1.49
  2,     UK003Z,       0,  0.087149, 2459486.532831648365, 295.06843,  66.59746,              323.88289,  48.01089,       323.87940,       48.01371,    295.06843,     +66.59746,     295.07753,      +66.59629,  3843338.77,  1205677.58,  5060527.31,      51.665749,       -2.410017,  102838.27,  137393.37,    3909.64,             4332.21,   -60.27,  49609.27,           49880.18,     -3.77,      7.92,          13.17,  +2.19,  +1.50
  3,     UK003Z,       0,  0.127581, 2459486.532832116354, 294.65959,  66.11028,              323.29605,  47.68054,       323.29044,       47.68504,    294.65959,     +66.11028,     294.67391,      +66.10843,  3843136.77,  1205199.55,  5058452.61,      51.656694,       -2.415815,  101002.61,  135637.43,    6048.26,             6470.83,     6.68,  52894.30,           49880.18,     -5.99,     12.56,          21.16,  +1.89,  +1.23
  4,     UK003Z,       0,  0.168013, 2459486.532832584344, 294.21708,  65.63472,              322.74538,  47.33341,       322.71540,       47.35719,    294.21708,     +65.63472,     294.28992,      +65.62509,  3842942.12,  1204738.92,  5056453.37,      51.647963,       -2.421408,   99233.88,  133956.10,    8109.10,             8531.67,    -4.15,  50970.44,           50391.01,    -31.51,     66.00,         112.61,  +2.56,  +1.93
  5,     UK003Z,       0,  0.208557, 2459486.532833053730, 293.77840,  65.00647,              322.00138,  46.91867,       321.98588,       46.93084,    293.77840,     +65.00647,     293.81569,      +65.00162,  3842698.11,  1204161.46,  5053947.10,      51.637011,       -2.428379,   97016.83,  131862.45,   10692.58,            11115.15,   501.92,  63720.41,           52447.95,    -15.98,     33.51,          58.08,  +3.29,  +2.69

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.