Orbital Analysis for matched events on 20210816_214011.299_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 178.23° Bg 72.65° Vg 19.92km/s
mass 0.36292g, abs. mag -0.7
Path Details
------------
start -3.42° 54.30° 75.68km
end   -3.31° 54.25° 57.94km

Orbit Details
-------------
Semimajor axis 2.98A.U., eccentricity 0.67, inclination 30.13°, Period 5.16Y, LA Sun 143.94°, last Perihelion 2021-08-03

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: 2459443.402908559889
Time: 2021-08-16 21:40:11.299574 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0003 and UK001L
 Convergence angle = 25.26650 deg
 R.A. = 234.21851  Dec = +62.09069 deg

Best intersection: Stations UK0003 and UK001L with Qconv = 25.27 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1111616.12 +/- 138.56 m
 Y =  -3607156.45 +/- 88.84 m
 Z =   5217524.48 +/- 174.18 m
 Vx =    -6129.85 +/- 197.08 m/s
 Vy =    -8861.05 +/- 125.70 m/s
 Vz =    20107.91 +/- 387.24 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.088213e+04, -1.240915e+04, -2.515800e+04, +3.792464e+04, -1.792830e+04, -4.339298e+04
-1.240915e+04, +8.531555e+03, +1.467859e+04, -2.195373e+04, +1.181487e+04, +2.654818e+04
-2.515800e+04, +1.467859e+04, +3.323635e+04, -3.948165e+04, +2.060916e+04, +4.998880e+04
+3.792464e+04, -2.195373e+04, -3.948165e+04, +1.861773e+05, -5.639861e+04, -1.532281e+05
-1.792830e+04, +1.181487e+04, +2.060916e+04, -5.639861e+04, +2.253679e+04, +5.471272e+04
-4.339298e+04, +2.654818e+04, +4.998880e+04, -1.532281e+05, +5.471272e+04, +1.425297e+05

Timing offsets (from input data):
    UK0003: 0.001246 s
    UK001L: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 21:40:11.299574 UTC
  Lon     = +-3.416321 +/- 0.0016 deg
  Lat     = +54.297025 +/- 0.0018 deg
  Lat geo = +54.116594 +/- 0.0018 deg
  Ht      =   75579.00 +/- 81.03 m

  JD dynamic   = 2459443.403709300794 
  LST apparent = 287.1277096791 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 235.32550 +/- 2.1194 deg
  Dec       = +61.81575 +/- 0.2595 deg
  Azimuth   = 306.75451 +/- 0.7306 deg
  Elevation = +62.40144 +/- 0.9655 deg
  Vavg      =  23.44510 +/- 0.3982 km/s
  Vinit     =  22.81275 +/- 0.3841 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 236.24906 +/- 2.1194 deg
  Dec       = +62.29369 +/- 0.2595 deg
  Azimuth   = 307.66637 +/- 0.7306 deg
  Elevation = +62.89154 +/- 0.9655 deg
  Vavg      =  23.34437 +/- 0.3982 km/s
  Vinit     =  22.71202 +/- 0.3841 km/s
Radiant (geocentric, J2000):
  R.A.   = 231.24150 +/- 2.1052 deg
  Dec    = +61.57256 +/- 0.2645 deg
  Vg     =  19.91558 +/- 0.4365 km/s
  Vinf   =  22.81275 +/- 0.3841 km/s
  Zc     =  27.70688 +/- 0.9667 deg
  Zg     =  29.62284 +/- 0.9635 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 178.23134 +/- 1.9865 deg
  Bg     = +72.65257 +/- 0.8208 deg
  Vh     =  38.14660 +/- 0.2588 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 225.99815 +/- 0.7784 deg
  Bh     = +29.88989 +/- 0.3565 deg
  Vh_x   =  22.97487 +/- 0.3966 km/s
  Vh_y   =  23.78963 +/- 0.2549 km/s
  Vh_z   = -19.00978 +/- 0.3259 km/s
Orbit:
  La Sun = 143.937982 +/- nan deg
  a      =   2.984973 +/- 0.2535 AU
  e      =   0.666885 +/- 0.0232
  i      =  30.129307 +/- 0.4104 deg
  peri   = 162.773987 +/- 1.2050 deg
  node   = 143.944408 +/- 0.0001 deg
  Pi     = 306.718395 +/- 1.2051 deg
  q      =   0.994340 +/- 0.0033 AU
  f      =  17.218430 +/- 1.2051 deg
  M      =   2.595335 +/- 0.1517 deg
  Q      =   4.975605 +/- 0.5101 AU
  n      =   0.191115 +/- 0.0182 deg/day
  T      =   5.157166 +/- 0.6986 years
  Last perihelion JD = 2459429.823707 (2021-08-03 07:46:08.319109) +/- 0.8019 days
  Tj     =   2.719678 +/- 0.1156
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.826324e-04, -7.951040e-05, -1.911572e-02, -3.994177e-08, -5.073023e-04, +1.572971e-04
q   , -7.951040e-05, +1.152797e-05, +2.827004e-03, +6.104777e-09, +7.430916e-05, -2.403586e-05
Tp  , -1.911572e-02, +2.827004e-03, +7.004002e-01, +1.513679e-06, +1.833627e-02, -5.954367e-03
node, -3.994177e-08, +6.104777e-09, +1.513679e-06, +3.565103e-12, +3.953471e-08, -1.404261e-08
peri, -5.073023e-04, +7.430916e-05, +1.833627e-02, +3.953471e-08, +4.808539e-04, -1.555566e-04
i   , +1.572971e-04, -2.403586e-05, -5.954367e-03, -1.404261e-08, -1.555566e-04, +5.532200e-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: UK001L
  Avg. res. = 3.616e-05 s
  Stddev    = 6.01e-03 s

Begin point on the trajectory:
  Lon =    -3.416933 +/- 0.0016 deg
  Lat =    54.297293 +/- 0.0017 deg
  Ht  = 75675.40 +/- 61.53 m
End point on the trajectory:
  Lon =    -3.307637 +/- 0.0043 deg
  Lat =    54.247832 +/- 0.0023 deg
  Ht  = 57937.10 +/- 124.60 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
    UK0003,   False,    -1.222204,    53.114272,  168.00,   7.354223,   0.000000,    72130.15,    57937.10,          0.031568,    110.45,     13.07,              39.32, 1.0000,    True,    True, {"ff_name": "FF_UK0003_20210816_214008_953_0045824.fits"}
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    75675.40,    67348.88,          0.011930,     61.45,     19.85,              48.75, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210816_214009_901_0143872.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,     UK0003,       1,  0.132847, 2459443.402910361998, 174.82290,  40.99253,              313.15961,  19.68134,       313.15264,       19.68096,    174.82290,     +40.99253,     174.82970,      +40.98841,  1112207.75, -3606301.22,  5215583.75,      54.291603,       -3.404564,   73627.75,  209211.87,       0.00,             2201.78,  -801.42,      0.00,           28401.12,      2.83,     23.86,          23.69,  +4.77,  +3.17
  1,     UK0003,       0,  0.173115, 2459443.402910828125, 174.57317,  40.75078,              313.17449,  19.37489,       313.16894,       19.37459,    174.57317,     +40.75078,     174.57875,      +40.74751,  1112661.86, -3605644.78,  5214094.12,      54.287439,       -3.395205,   72130.15,  207948.77,    1690.02,             3891.80,   -30.03,  41969.25,           28401.12,      2.24,     18.89,          18.87,  +1.90,  +0.31
  2,     UK0003,       0,  0.213243, 2459443.402911292389, 174.42760,  40.64721,              313.20664,  19.22661,       313.17576,       19.22494,    174.42760,     +40.64721,     174.45805,      +40.62903,  1112881.08, -3605327.89,  5213375.01,      54.285427,       -3.390773,   71407.19,  207345.14,    2505.86,             4707.64,  -129.62,  20330.88,           28401.12,     12.47,    104.95,         105.13,  +2.74,  +1.16
  3,     UK0003,       0,  0.253407, 2459443.402911757585, 174.27452,  40.49774,              313.21614,  19.03746,       313.18492,       19.03577,    174.27452,     +40.49774,     174.30549,      +40.47938,  1113156.68, -3604929.48,  5212470.93,      54.282898,       -3.385157,   70498.30,  206586.29,    3531.54,             5733.33,   -20.18,  25537.51,           28401.12,     12.58,    105.84,         106.42,  +1.30,  -0.28
  4,     UK0003,       0,  0.293555, 2459443.402912221849, 174.11545,  40.37038,              313.24354,  18.86365,       313.19319,       18.86092,    174.11545,     +40.37038,     174.16526,      +40.34079,  1113409.54, -3604563.96,  5211641.47,      54.280576,       -3.380018,   69664.43,  205892.68,    4472.59,             6674.37,     4.97,  23439.32,           26854.12,     20.27,    170.30,         171.81,  +0.93,  -0.64
  5,     UK0003,       0,  0.333719, 2459443.402912687045, 173.99021,  40.20710,              313.22735,  18.67510,       313.20215,       18.67375,    173.99021,     +40.20710,     174.01566,      +40.19232,  1113678.42, -3604175.29,  5210759.48,      54.278107,       -3.374542,   68777.78,  205156.80,    5473.22,             7675.00,    89.36,  24913.67,           26134.66,     10.09,     85.02,          86.08,  +1.11,  -0.45
  6,     UK0003,       0,  0.373887, 2459443.402913151775, 173.83872,  40.05094,              313.23336,  18.48075,       313.21150,       18.47958,    173.83872,     +40.05094,     173.86107,      +40.03813,  1113955.36, -3603774.95,  5209851.02,      54.275562,       -3.368895,   67864.54,  204400.89,    6503.87,             8705.66,   203.67,  25658.65,           25826.63,      8.72,     73.55,          74.74,  +0.97,  -0.58
  7,     UK0003,       0,  0.414015, 2459443.402913616039, 173.73555,  39.92886,              313.22832,  18.33540,       313.21788,       18.33484,    173.73555,     +39.92886,     173.74692,      +39.92275,  1114160.18, -3603478.87,  5209179.14,      54.273679,       -3.364762,   67189.10,  203845.36,    7266.13,             9467.92,    50.50,  18995.71,           25129.62,      4.15,     35.05,          35.71,  +0.89,  -0.66
  8,     UK0003,       0,  0.454159, 2459443.402914080769, 173.63587,  39.77919,              313.20473,  18.16879,       313.22544,       18.16989,    173.63587,     +39.77919,     173.61698,      +39.79129,  1114392.40, -3603143.19,  5208417.38,      54.271544,       -3.360053,   66423.33,  203216.07,    8130.36,            10332.14,    -1.07,  21528.15,           24564.30,     -8.19,    -69.40,          70.93,  +0.92,  -0.62
  9,     UK0003,       0,  0.494295, 2459443.402914545499, 173.51003,  39.65622,              313.21491,  18.01260,       313.23246,       18.01353,    173.51003,     +39.65622,     173.49439,      +39.66646,  1114611.15, -3602826.97,  5207699.82,      54.269532,       -3.355626,   65701.98,  202625.28,    8944.45,            11146.23,  -102.59,  20283.27,           24043.09,     -6.93,    -58.70,          60.17,  +0.76,  -0.77
 10,     UK0003,       0,  0.534439, 2459443.402915010229, 173.43011,  39.49834,              313.17401,  17.84766,       313.23981,       17.85110,    173.43011,     +39.49834,     173.36745,      +39.53670,  1114837.08, -3602500.37,  5206958.68,      54.267453,       -3.351048,   64956.96,  202016.42,    9785.28,            11987.06,  -177.56,  20945.34,           23617.98,    -25.80,   -219.67,         225.83,  +0.65,  -0.88
 11,     UK0003,       0,  0.574571, 2459443.402915474493, 173.20916,  39.42249,              313.27651,  17.68852,       313.24724,       17.68695,    173.20916,     +39.42249,     173.23961,      +39.40542,  1115064.05, -3602172.27,  5206214.14,      54.265365,       -3.346447,   64208.51,  201406.36,   10629.98,            12831.76,  -248.38,  21047.96,           23273.92,     11.56,     97.50,         100.55,  +0.61,  -0.91
 12,     UK0003,       0,  0.614719, 2459443.402915939223, 173.15318,  39.24840,              313.21073,  17.52044,       313.25464,       17.52276,    173.15318,     +39.24840,     173.11225,      +39.27396,  1115289.70, -3601846.09,  5205473.95,      54.263287,       -3.341874,   63464.46,  200801.57,   11469.73,            13671.51,  -324.52,  20916.43,           22988.22,    -17.17,   -145.96,         150.96,  +0.69,  -0.82
 13,     UK0003,       0,  0.654887, 2459443.402916403953, 172.94777,  39.11916,              313.27211,  17.32391,       313.26407,       17.32348,    172.94777,     +39.11916,     172.95781,      +39.11448,  1115561.96, -3601452.52,  5204580.83,      54.260780,       -3.336320,   62566.73,  200072.42,   12482.99,            14684.77,  -227.60,  25225.56,           22872.56,      3.15,     26.65,          27.67,  +0.39,  -1.12
 14,     UK0003,       0,  0.695071, 2459443.402916869149, 172.74714,  38.96481,              313.31610,  17.10865,       313.27449,       17.10641,    172.74714,     +38.96481,     172.79018,      +38.94062,  1115856.39, -3601026.90,  5203615.00,      54.258067,       -3.330299,   61595.96,  199286.04,   13578.74,            15780.53,   -48.55,  27268.41,           22907.37,     16.32,    137.57,         143.38,  +0.36,  -1.14
 15,     UK0003,       0,  0.735319, 2459443.402917335276, 172.53510,  38.73387,              313.32367,  16.82483,       313.28873,       16.82295,    172.53510,     +38.73387,     172.57179,      +38.71359,  1116237.70, -3600475.69,  5202364.18,      54.254552,       -3.322452,   60338.86,  198269.65,   14997.82,            17199.60,   452.35,  35258.21,           23203.83,     13.64,    115.14,         120.62,  +0.39,  -1.10
 16,     UK0003,       0,  0.775455, 2459443.402917799540, 172.39987,  38.61501,              313.34566,  16.66725,       313.29566,       16.66455,    172.39987,     +38.61501,     172.45146,      +38.58601,  1116448.65, -3600170.76,  5201672.21,      54.252607,       -3.318184,   59643.32,  197712.92,   15782.86,            17984.65,   321.79,  19559.67,           23335.79,     19.51,    164.41,         172.72,  +0.89,  -0.59
 17,     UK0003,       0,  0.815639, 2459443.402918264735, 172.30852,  38.40703,              313.28644,  16.45479,       313.30548,       16.45579,    172.30852,     +38.40703,     172.29275,      +38.41805,  1116725.17, -3599771.03,  5200765.13,      54.250056,       -3.312537,   58731.65,  196983.01,   16811.96,            19013.74,   434.18,  25609.64,           23468.31,     -7.35,    -62.43,          65.82,  +0.41,  -1.06
 18,     UK0003,       0,  0.855795, 2459443.402918729465, 172.16769,  38.26057,              313.29706,  16.27162,       313.31379,       16.27250,    172.16769,     +38.26057,     172.15433,      +38.27025,  1116966.15, -3599422.67,  5199974.62,      54.247832,       -3.307637,   57937.10,  196350.05,   17708.81,            19910.60,   414.96,  22334.21,           23545.25,     -6.45,    -54.77,          57.93,  +0.70,  -0.77
  0,     UK001L,       0,  0.000000, 2459443.402908559889, 147.98360,  45.07661,              333.07955,  12.53842,       333.08010,       12.53856,    147.98360,     +45.07661,     147.98232,      +45.07696,  1111586.89, -3607198.70,  5217620.36,      54.297293,       -3.416933,   75675.40,  314572.33,       0.00,              108.78,   136.18,      0.00,           23897.13,     -0.95,      2.94,           2.02,  +2.76,  +0.27
  1,     UK001L,       0,  0.040112, 2459443.402909024153, 147.87295,  44.96664,              333.10862,  12.40649,       333.11302,       12.40760,    147.87295,     +44.96664,     147.86750,      +44.96936,  1111845.53, -3606824.83,  5216771.96,      54.294923,       -3.411678,   74822.40,  313962.70,     962.53,              853.75,   -33.92,  23995.96,           23897.13,     -7.48,     23.16,          15.99,  +1.78,  -0.70
  2,     UK001L,       0,  0.080244, 2459443.402909488417, 147.73083,  44.84770,              333.15536,  12.25751,       333.15124,       12.25647,    147.73083,     +44.84770,     147.73516,      +44.84515,  1112142.82, -3606395.08,  5215796.74,      54.292198,       -3.405610,   73841.93,  313263.34,    2068.92,             1960.14,   156.96,  27568.91,           23897.13,      6.99,    -21.64,          14.97,  +0.91,  -1.57
  3,     UK001L,       0,  0.120336, 2459443.402909952682, 147.65386,  44.75478,              333.16942,  12.15062,       333.17692,       12.15252,    147.65386,     +44.75478,     147.64526,      +44.75941,  1112346.39, -3606100.81,  5215128.97,      54.290332,       -3.401508,   73170.56,  312787.39,    2826.53,             2717.75,    -0.05,  18896.63,           23897.13,    -12.70,     39.35,          27.27,  +1.34,  -1.14
  4,     UK001L,       0,  0.160456, 2459443.402910416946, 147.52363,  44.64133,              333.21108,  12.00997,       333.21267,       12.01038,    147.52363,     +44.64133,     147.52185,      +44.64231,  1112623.90, -3605699.65,  5214218.64,      54.287787,       -3.395853,   72255.35,  312138.48,    3859.30,             3750.53,   117.49,  25742.27,           23888.83,     -2.70,      8.36,           5.81,  +0.84,  -1.63
  5,     UK001L,       0,  0.200560, 2459443.402910881210, 147.41251,  44.54506,              333.24712,  11.89044,       333.24280,       11.88935,    147.41251,     +44.54506,     147.41756,      +44.54240,  1112859.21, -3605359.50,  5213446.75,      54.285628,       -3.391084,   71479.33,  311590.62,    4735.02,             4626.25,    78.32,  21836.16,           23593.30,      7.30,    -22.60,          15.72,  +1.02,  -1.45
  6,     UK001L,       0,  0.240668, 2459443.402911345474, 147.30895,  44.43697,              333.27365,  11.76213,       333.27447,       11.76234,    147.30895,     +44.43697,     147.30838,      +44.43748,  1113105.29, -3605003.78,  5212639.53,      54.283370,       -3.386087,   70667.80,  311019.02,    5650.83,             5542.06,    79.16,  22833.63,           23406.36,     -1.39,      4.30,           3.00,  +0.97,  -1.49
  7,     UK001L,       0,  0.280748, 2459443.402911809273, 147.19210,  44.37001,              333.32567,  11.66800,       333.29926,       11.66131,    147.19210,     +44.37001,     147.22234,      +44.35381,  1113300.27, -3604721.91,  5211999.91,      54.281580,       -3.382162,   70024.76,  310568.29,    6376.49,             6267.71,  -109.52,  18105.22,           22887.08,     44.53,   -137.82,          96.19,  +1.00,  -1.46
  8,     UK001L,       0,  0.320868, 2459443.402912273537, 147.11625,  44.24329,              333.32667,  11.53016,       333.33163,       11.53141,    147.11625,     +44.24329,     147.11136,      +44.24633,  1113550.28, -3604360.51,  5211179.80,      54.279284,       -3.377082,   69200.30,  309990.46,    7306.92,             7198.14,   -94.34,  23191.14,           22664.95,     -8.33,     25.81,          18.05,  +1.23,  -1.23
  9,     UK001L,       0,  0.360984, 2459443.402912737802, 146.96109,  44.14487,              333.39261,  11.39642,       333.36701,       11.38993,    146.96109,     +44.14487,     146.99074,      +44.12921,  1113821.55, -3603968.37,  5210289.94,      54.276792,       -3.371555,   68305.74,  309364.96,    8316.48,             8207.70,     0.07,  25166.01,           22688.32,     43.04,   -133.22,          93.34,  +0.99,  -1.46
 10,     UK001L,       0,  0.401116, 2459443.402913202532, 146.85377,  44.00700,              333.41110,  11.23949,       333.40510,       11.23797,    146.85377,     +44.00700,     146.86154,      +44.00333,  1114111.73, -3603548.91,  5209338.07,      54.274125,       -3.365630,   67348.88,  308697.75,    9396.39,             9287.62,   164.46,  26909.04,           22893.04,     10.07,    -31.20,          21.91,  +3.28,  +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.