Orbital Analysis for matched events on 20210816_205238.965_UK

Summary for Event
-----------------
shower ID 197 AUD
Lg 228.21° Bg 86.80° Vg 22.14km/s
mass 0.06404g, abs. mag 1.0
Path Details
------------
start -3.16° 50.79° 94.40km
end   -3.15° 50.76° 82.03km

Orbit Details
-------------
Semimajor axis 2.73A.U., eccentricity 0.63, inclination 35.81°, Period 4.52Y, LA Sun 143.91°, last Perihelion 2017-02-10

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: 2459443.369895435870
Time: 2021-08-16 20:52:38.965659 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003J
 Convergence angle = 41.41494 deg
 R.A. = 267.64397  Dec = +63.49166 deg

Best intersection: Stations UK000H and UK003J with Qconv = 41.41 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    390865.99 +/- 26.96 m
 Y =  -4081559.01 +/- 32.38 m
 Z =   4991643.00 +/- 29.54 m
 Vx =     -788.62 +/- 61.98 m/s
 Vy =   -11068.99 +/- 23.69 m/s
 Vz =    22146.48 +/- 120.41 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.811307e+02, +6.821478e+02, -2.087889e+02, +1.490692e+03, +1.548262e+03, -9.976756e+02
+6.821478e+02, +1.122329e+03, -6.013017e+02, +1.513891e+03, +2.721649e+03, -1.446266e+03
-2.087889e+02, -6.013017e+02, +9.360401e+02, -4.189445e+02, -1.243129e+03, +2.283443e+03
+1.490692e+03, +1.513891e+03, -4.189445e+02, +4.715853e+03, +4.632004e+03, -1.038316e+03
+1.548262e+03, +2.721649e+03, -1.243129e+03, +4.632004e+03, +8.011405e+03, -2.425970e+03
-9.976756e+02, -1.446266e+03, +2.283443e+03, -1.038316e+03, -2.425970e+03, +7.779070e+03

Timing offsets (from input data):
    UK000H: 0.000153 s
    UK003J: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 20:52:38.965659 UTC
  Lon     = +-3.156580 +/- 0.0004 deg
  Lat     = +50.785540 +/- 0.0002 deg
  Lat geo = +50.599658 +/- 0.0002 deg
  Ht      =   94358.81 +/- 37.73 m

  JD dynamic   = 2459443.370696176775 
  LST apparent = 275.4701858892 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 265.92481 +/- 0.3233 deg
  Dec       = +63.38570 +/- 0.1791 deg
  Azimuth   = 341.57174 +/- 0.8024 deg
  Elevation = +76.40823 +/- 0.1290 deg
  Vavg      =  24.12492 +/- 0.0708 km/s
  Vinit     =  24.77117 +/- 0.0962 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 267.45366 +/- 0.3233 deg
  Dec       = +63.48017 +/- 0.1791 deg
  Azimuth   = 344.40743 +/- 0.8024 deg
  Elevation = +76.60511 +/- 0.1290 deg
  Vavg      =  24.10450 +/- 0.0708 km/s
  Vinit     =  24.75076 +/- 0.0962 km/s
Radiant (geocentric, J2000):
  R.A.   = 265.10968 +/- 0.3450 deg
  Dec    = +64.08962 +/- 0.1913 deg
  Vg     =  22.14055 +/- 0.1076 km/s
  Vinf   =  24.77117 +/- 0.0962 km/s
  Zc     =  13.76824 +/- 0.1295 deg
  Zg     =  14.54403 +/- 0.1376 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 228.21444 +/- 1.8570 deg
  Bg     = +86.79533 +/- 0.2246 deg
  Vh     =  37.78372 +/- 0.1103 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 234.30737 +/- 0.0676 deg
  Bh     = +35.80771 +/- 0.1266 deg
  Vh_x   =  17.87769 +/- 0.0628 km/s
  Vh_y   =  24.88619 +/- 0.0722 km/s
  Vh_z   = -22.10600 +/- 0.1060 km/s
Orbit:
  La Sun = 143.906250 +/- 0.0000 deg
  a      =   2.731780 +/- 0.0684 AU
  e      =   0.629379 +/- 0.0095
  i      =  35.808363 +/- 0.1265 deg
  peri   = 180.842387 +/- 0.1456 deg
  node   = 143.911062 +/- 0.0000 deg
  Pi     = 324.753448 +/- 0.1456 deg
  q      =   1.012456 +/- 0.0000 AU
  f      = 359.151121 +/- 0.1456 deg
  M      = 359.849948 +/- 0.0296 deg
  Q      =   4.451104 +/- 0.1369 AU
  n      =   0.218291 +/- 0.0084 deg/day
  T      =   4.515119 +/- 0.1688 years
  Last perihelion JD = 2457794.882150 (2017-02-10 09:10:17.798540) +/- 61.7009 days
  Tj     =   2.818268 +/- 0.0466
Shower association:
  IAU No.  =  197
  IAU code =  AUD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.660560e-05, +4.908226e-08, -6.272115e-01, -1.225427e-09, -8.253026e-06, +6.382444e-06
q   , +4.908226e-08, +2.990201e-10, -3.200910e-04, -1.706187e-12, -4.541938e-08, +8.886059e-09
Tp  , -6.272115e-01, -3.200910e-04, +4.078858e+03, +8.185774e-06, +5.358191e-02, -4.262751e-02
node, -1.225427e-09, -1.706187e-12, +8.185774e-06, +1.946051e-13, +2.762485e-10, -1.009110e-09
peri, -8.253026e-06, -4.541938e-08, +5.358191e-02, +2.762485e-10, +6.938694e-06, -1.438867e-06
i   , +6.382444e-06, +8.886059e-09, -4.262751e-02, -1.009110e-09, -1.438867e-06, +5.232696e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 40.401225

Mean time residuals from time vs. length:
  Station with reference time: UK003J
  Avg. res. = 1.459e-05 s
  Stddev    = 3.82e-03 s

Begin point on the trajectory:
  Lon =    -3.156622 +/- 0.0004 deg
  Lat =    50.785621 +/- 0.0001 deg
  Ht  = 94398.48 +/- 28.22 m
End point on the trajectory:
  Lon =    -3.145587 +/- 0.0003 deg
  Lat =    50.760448 +/- 0.0002 deg
  Ht  = 82032.38 +/- 23.08 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    92523.53,    82203.73,          0.010281,     23.21,      3.78,              45.18, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210816_205235_518_0075008.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.000000,  41.923059,    94398.48,    82032.38,          0.011227,     23.51,      4.03,              50.45, 1.0000,    True,    True, {"ff_name": "FF_UK003J_20210816_205231_355_0070400.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,     UK000H,       0,  0.075630, 2459443.369896308053, 219.79124,  29.48174,              265.57924,  42.88451,       265.57528,       42.88550,    219.79124,     +29.48174,     219.79469,      +29.48033,   390926.10, -4080715.28,  4989954.91,      50.781810,       -3.154934,   92523.53,  134820.95,       0.00,             1888.16,   -24.36,      0.00,           25673.72,     -1.16,      7.13,          11.05,  +3.26,  +2.61
  1,     UK000H,       0,  0.115886, 2459443.369896774180, 219.65336,  29.20535,              265.42079,  42.60648,       265.44439,       42.60053,    219.65336,     +29.20535,     219.63513,      +29.21375,   390957.60, -4080273.12,  4989070.24,      50.779855,       -3.154075,   91561.71,  134128.63,     989.51,             2877.67,   -32.04,  24580.44,           25673.72,      6.91,    -42.43,          66.10,  +2.56,  +1.92
  2,     UK000H,       0,  0.156146, 2459443.369897239842, 219.47889,  28.93262,              265.29814,  42.30740,       265.30968,       42.30450,    219.47889,     +28.93262,     219.47038,      +28.93673,   390989.98, -4079818.64,  4988160.94,      50.777844,       -3.153186,   90573.11,  133420.66,    2006.58,             3894.74,   -12.26,  25262.55,           25673.72,      3.37,    -20.72,          32.46,  +2.19,  +1.56
  3,     UK000H,       0,  0.196426, 2459443.369897706434, 219.29088,  28.63357,              265.16340,  41.98090,       265.16374,       41.98082,    219.29088,     +28.63357,     219.29143,      +28.63369,   391025.01, -4079327.02,  4987177.30,      50.775668,       -3.152211,   89503.69,  132658.62,    3106.79,             4994.95,    90.17,  27314.02,           25673.72,      0.10,     -0.60,           0.94,  +2.25,  +1.64
  4,     UK000H,       0,  0.236658, 2459443.369898172095, 219.12895,  28.38725,              265.06014,  41.70704,       265.04374,       41.71116,    219.12895,     +28.38725,     219.14301,      +28.38139,   391053.81, -4078922.83,  4986368.63,      50.773879,       -3.151439,   88624.46,  132037.21,    4011.31,             5899.47,    -1.91,  22482.57,           25186.39,     -4.78,     29.37,          46.49,  +1.92,  +1.32
  5,     UK000H,       0,  0.276934, 2459443.369898638222, 218.98248,  28.09086,              264.89818,  41.40735,       264.90840,       41.40478,    218.98248,     +28.09086,     218.97546,      +28.09452,   391086.23, -4078467.73,  4985458.07,      50.771864,       -3.150549,   87634.48,  131340.34,    5029.78,             6917.94,    18.87,  25287.21,           25061.50,      2.98,    -18.30,          29.12,  +1.82,  +1.23
  6,     UK000H,       0,  0.317194, 2459443.369899103884, 218.80899,  27.81673,              264.78184,  41.10572,       264.77809,       41.10666,    218.80899,     +27.81673,     218.81332,      +27.81539,   391117.42, -4078029.89,  4984582.06,      50.769924,       -3.149698,   86682.03,  130674.19,    6009.61,             7897.77,     1.42,  24337.73,           24939.36,     -1.09,      6.71,          10.73,  +1.96,  +1.38
  7,     UK000H,       0,  0.357466, 2459443.369899570011, 218.65332,  27.52153,              264.63303,  40.79991,       264.64403,       40.79714,    218.65332,     +27.52153,     218.64598,      +27.52548,   391149.47, -4077580.04,  4983682.02,      50.767931,       -3.148820,   85703.47,  129993.65,    7016.32,             8904.48,    10.55,  24997.70,           24893.33,      3.20,    -19.65,          31.60,  +1.52,  +0.95
  8,     UK000H,       0,  0.397730, 2459443.369900036138, 218.48153,  27.24190,              264.51425,  40.49440,       264.51426,       40.49439,    218.48153,     +27.24190,     218.48319,      +27.24191,   391180.48, -4077144.92,  4982811.43,      50.766002,       -3.147975,   84756.90,  129339.69,    7990.09,             9878.25,   -13.07,  24184.62,           24824.60,      0.00,     -0.02,           0.02,  +1.87,  +1.31
  9,     UK000H,       0,  0.438026, 2459443.369900502730, 218.30650,  26.92427,              264.36508,  40.15937,       264.37120,       40.15784,    218.30650,     +26.92427,     218.30340,      +26.92648,   391214.59, -4076666.03,  4981853.29,      50.763879,       -3.147028,   83715.17,  128623.74,    9061.78,            10949.94,    60.44,  26595.36,           24886.28,      1.77,    -10.90,          17.71,  +1.78,  +1.23
 10,     UK000H,       1,  0.478274, 2459443.369900968391, 218.10929,  26.66522,              264.29036,  39.85144,       264.24709,       39.86228,    218.10929,     +26.66522,     218.14625,      +26.64959,   391244.19, -4076250.67,  4981022.24,      50.762037,       -3.146229,   82811.58,  128007.92,    9991.32,            11879.48,    -7.01,  23095.30,           24838.54,    -12.53,     77.05,         125.79,  +2.60,  +2.06
 11,     UK000H,       0,  0.518466, 2459443.369901433587, 218.05678,  26.45225,              264.13935,  39.66681,       264.16382,       39.66067,    218.05678,     +26.45225,     218.03914,      +26.46109,   391264.09, -4075971.28,  4980463.26,      50.760797,       -3.145746,   82203.73,  127598.75,   10616.55,            12504.71,  -377.38,  15556.19,           24454.70,      7.09,    -43.55,          71.32,  +4.50,  +3.97
  0,     UK003J,       0,  0.000000, 2459443.369895435870, 249.23053,  14.98317,              220.66638,  47.67148,       220.68780,       47.66756,    249.23053,     +14.98317,     249.21528,      +14.98568,   390864.69, -4081577.24,  4991679.49,      50.785621,       -3.156622,   94398.48,  126708.15,       0.00,               40.81,     1.72,      0.00,           26358.78,      5.58,    -32.58,          53.81,  +4.98,  +4.47
  1,     UK003J,       1,  0.040312, 2459443.369895902462, 249.11307,  14.64174,              220.60630,  47.31396,       220.55685,       47.32301,    249.11307,     +14.64174,     249.14862,      +14.63587,   390897.18, -4081121.17,  4990767.00,      50.783605,       -3.155731,   93406.43,  126056.75,    1020.64,              979.83,   -57.84,  25318.40,           26358.78,    -12.90,     75.30,         125.01,  +4.77,  +4.27
  2,     UK003J,       0,  0.080632, 2459443.369896369055, 249.08547,  14.26158,              220.40792,  46.95756,       220.41874,       46.95558,    249.08547,     +14.26158,     249.07803,      +14.26287,   390931.47, -4080639.97,  4989804.22,      50.781477,       -3.154781,   92359.70,  125374.47,    2097.52,             2056.71,    20.27,  26708.44,           26358.78,      2.82,    -16.49,          27.53,  +2.66,  +2.17
  3,     UK003J,       0,  0.120968, 2459443.369896836113, 249.00478,  13.88262,              220.28123,  46.58046,       220.27978,       46.58072,    249.00478,     +13.88262,     249.00633,      +13.88245,   390966.05, -4080154.53,  4988832.98,      50.779330,       -3.153821,   91303.77,  124691.78,    3183.86,             3143.05,   107.44,  26932.35,           26358.78,     -0.38,      2.21,           3.71,  +2.29,  +1.81
  4,     UK003J,       0,  0.161240, 2459443.369897302240, 248.93834,  13.57049,              220.17843,  46.26970,       220.16799,       46.27161,    248.93834,     +13.57049,     248.94659,      +13.56924,   390994.24, -4079758.95,  4988041.51,      50.777580,       -3.153070,   90443.26,  124140.63,    4069.14,             4028.33,    -4.87,  21982.35,           25553.61,     -2.73,     15.95,          26.88,  +2.24,  +1.77
  5,     UK003J,       0,  0.201544, 2459443.369897768367, 248.87097,  13.22506,              220.05845,  45.92809,       220.04544,       45.93047,    248.87097,     +13.22506,     248.88128,      +13.22349,   391025.06, -4079326.25,  4987175.78,      50.775665,       -3.152232,   89502.02,  123541.70,    5037.46,             4996.65,   -34.92,  24025.58,           25105.19,     -3.40,     19.87,          33.66,  +2.04,  +1.58
  6,     UK003J,       0,  0.241876, 2459443.369898235425, 248.80797,  12.84293,              219.91308,  45.55460,       219.91167,       45.55486,    248.80797,     +12.84293,     248.81001,      +12.84276,   391058.67, -4078854.53,  4986231.97,      50.773577,       -3.151303,   88475.89,  122893.64,    6093.13,             6052.32,    21.68,  26174.52,           25059.62,     -0.37,      2.16,           3.67,  +1.86,  +1.41
  7,     UK003J,       0,  0.282152, 2459443.369898701552, 248.74782,  12.52962,              219.80625,  45.24479,       219.80406,       45.24519,    248.74782,     +12.52962,     248.75061,      +12.52935,   391086.07, -4078470.03,  4985462.67,      50.771874,       -3.150577,   87639.46,  122370.54,    6953.60,             6912.79,  -115.53,  21364.32,           24732.98,     -0.57,      3.35,           5.74,  +2.07,  +1.63
  8,     UK003J,       0,  0.322536, 2459443.369899169076, 248.65833,  12.09074,              219.66547,  44.80849,       219.65241,       44.81088,    248.65833,     +12.09074,     248.66933,      +12.08914,   391124.17, -4077935.22,  4984392.64,      50.769505,       -3.149502,   86476.10,  121647.28,    8150.44,             8109.63,    80.95,  29636.52,           24908.05,     -3.43,     20.02,          34.44,  +1.59,  +1.16
  9,     UK003J,       0,  0.362812, 2459443.369899635203, 248.58478,  11.78159,              219.58100,  44.49682,       219.54835,       44.50278,    248.58478,     +11.78159,     248.61050,      +11.77758,   391150.85, -4077560.70,  4983643.31,      50.767845,       -3.148798,   85661.37,  121146.79,    8988.59,             8947.78,   -78.59,  20810.00,           24773.81,     -8.58,     50.09,          86.52,  +1.71,  +1.29
 10,     UK003J,       0,  0.403136, 2459443.369900101796, 248.54546,  11.40162,              219.41490,  44.13386,       219.42337,       44.13231,    248.54546,     +11.40162,     248.54084,      +11.40266,   391182.68, -4077113.96,  4982749.50,      50.765865,       -3.147927,   84689.56,  120553.67,    9988.32,             9947.51,   -77.73,  24792.56,           24701.44,      2.23,    -13.00,          22.57,  +1.65,  +1.24
 11,     UK003J,       0,  0.443496, 2459443.369900568854, 248.47061,  10.98617,              219.27539,  43.72411,       219.28619,       43.72214,    248.47061,     +10.98617,     248.46439,      +10.98751,   391217.57, -4076624.31,  4981769.81,      50.763694,       -3.146955,   83624.39,  119909.25,   11084.12,            11043.31,    18.30,  27150.60,           24754.00,      2.84,    -16.59,          28.96,  +1.94,  +1.55
 12,     UK003J,       0,  0.483808, 2459443.369901035447, 248.38353,  10.63930,              219.19103,  43.37212,       219.17287,       43.37543,    248.38353,     +10.63930,     248.39920,      +10.63703,   391246.72, -4076215.08,  4980951.05,      50.761879,       -3.146171,   82734.16,  119376.57,   11999.92,            11959.11,   -64.48,  22717.73,           24718.63,     -4.79,     27.95,          48.99,  +2.10,  +1.72
 13,     UK003J,       0,  0.524052, 2459443.369901501108, 248.32840,  10.36109,              219.10610,  43.09552,       219.08507,       43.09935,    248.32840,     +10.36109,     248.34645,      +10.35846,   391269.70, -4075892.51,  4980305.66,      50.760448,       -3.145587,   82032.38,  118961.06,   12721.80,            12680.99,  -339.48,  17937.66,           24503.03,     -5.55,     32.40,          56.99,  +3.46,  +3.08

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.