Orbital Analysis for matched events on 20210810_213718.458_UK

Summary for Event
-----------------
shower ID 197 AUD
Lg 295.35° Bg 75.64° Vg 21.00km/s
mass 0.10860g, abs. mag 0.1
Path Details
------------
start -4.09° 51.99° 94.26km
end   -4.09° 51.99° 81.93km

Orbit Details
-------------
Semimajor axis 2.74A.U., eccentricity 0.64, inclination 32.93°, Period 4.53Y, LA Sun 138.17°, last Perihelion 2017-02-13

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: 2459437.400908090174
Time: 2021-08-10 21:37:18.458991 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001Z and UK0020
 Convergence angle = 17.35016 deg
 R.A. = 281.98789  Dec = +52.33350 deg

Best intersection: Stations UK001Z and UK0020 with Qconv = 17.35 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    681287.49 +/- 66.60 m
 Y =  -3935174.11 +/- 48.62 m
 Z =   5076516.36 +/- 184.56 m
 Vx =     2546.77 +/- 258.12 m/s
 Vy =   -14050.60 +/- 136.38 m/s
 Vz =    18983.28 +/- 490.22 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.735345e+03, -2.845516e+03, -1.107606e+04, +1.301184e+04, -7.794968e+03, -2.971765e+04
-2.845516e+03, +2.540667e+03, +7.654027e+03, -8.098401e+03, +6.294276e+03, +2.187625e+04
-1.107606e+04, +7.654027e+03, +3.644811e+04, -2.725708e+04, +2.236889e+04, +7.825230e+04
+1.301184e+04, -8.098401e+03, -2.725708e+04, +4.382630e+04, -2.808707e+04, -1.012076e+05
-7.794968e+03, +6.294276e+03, +2.236889e+04, -2.808707e+04, +2.422977e+04, +7.921840e+04
-2.971765e+04, +2.187625e+04, +7.825230e+04, -1.012076e+05, +7.921840e+04, +2.678878e+05

Timing offsets (from input data):
    UK001Z: 0.000018 s
    UK0020: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 21:37:18.458991 UTC
  Lon     = +-4.085943 +/- 0.0008 deg
  Lat     = +51.991889 +/- 0.0014 deg
  Lat geo = +51.807744 +/- 0.0014 deg
  Ht      =   94205.00 +/- 117.80 m

  JD dynamic   = 2459437.401708831079 
  LST apparent = 279.8221230772 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 280.27373 +/- 0.7309 deg
  Dec       = +53.04888 +/- 1.0274 deg
  Azimuth   =  14.39412 +/- 11.5807 deg
  Elevation = +88.90788 +/- 1.0204 deg
  Vavg      =  23.23726 +/- 0.2935 km/s
  Vinit     =  23.75437 +/- 0.3041 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 281.44187 +/- 0.7309 deg
  Dec       = +53.03874 +/- 1.0274 deg
  Azimuth   =  42.63637 +/- 11.5807 deg
  Elevation = +88.56219 +/- 1.0204 deg
  Vavg      =  23.24043 +/- 0.2935 km/s
  Vinit     =  23.75754 +/- 0.3041 km/s
Radiant (geocentric, J2000):
  R.A.   = 280.18330 +/- 0.7708 deg
  Dec    = +53.10393 +/- 1.0851 deg
  Vg     =  20.99647 +/- 0.3424 km/s
  Vinf   =  23.75437 +/- 0.3041 km/s
  Zc     =   1.27131 +/- 1.0230 deg
  Zg     =   1.34967 +/- 1.0790 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 295.34800 +/- 0.9159 deg
  Bg     = +75.64485 +/- 1.1550 deg
  Vh     =  37.76871 +/- 0.1178 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 237.37889 +/- 0.5672 deg
  Bh     = +32.58766 +/- 0.6747 deg
  Vh_x   =  17.15503 +/- 0.1835 km/s
  Vh_y   =  26.80281 +/- 0.3039 km/s
  Vh_z   = -20.34182 +/- 0.4290 km/s
Orbit:
  La Sun = 138.173562 +/- -0.0000 deg
  a      =   2.738156 +/- 0.0796 AU
  e      =   0.638474 +/- 0.0090
  i      =  32.925176 +/- 0.6394 deg
  peri   = 199.932697 +/- 1.4889 deg
  node   = 138.179261 +/- 0.0001 deg
  Pi     = 338.111958 +/- 1.4890 deg
  q      =   0.989914 +/- 0.0030 AU
  f      = 340.060181 +/- 1.4890 deg
  M      = 356.559725 +/- 0.3699 deg
  Q      =   4.486398 +/- 0.1563 AU
  n      =   0.217529 +/- 0.0089 deg/day
  T      =   4.530936 +/- 0.2002 years
  Last perihelion JD = 2457798.263768 (2017-02-13 18:19:49.591938) +/- 74.2572 days
  Tj     =   2.837837 +/- 0.0546
Shower association:
  IAU No.  =  197
  IAU code =  AUD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.671042e-05, +2.692322e-05, -7.145137e-01, -1.951107e-08, -2.340131e-04, +9.016338e-05
q   , +2.692322e-05, +9.951308e-06, -2.263211e-01, -7.791047e-09, -8.494128e-05, +3.581397e-05
Tp  , -7.145137e-01, -2.263211e-01, +5.909069e+03, +1.661340e-04, +1.964805e+00, -7.675074e-01
node, -1.951107e-08, -7.791047e-09, +1.661340e-04, +6.357552e-12, +6.617476e-08, -2.919965e-08
peri, -2.340131e-04, -8.494128e-05, +1.964805e+00, +6.617476e-08, +7.268111e-04, -3.044215e-04
i   , +9.016338e-05, +3.581397e-05, -7.675074e-01, -2.919965e-08, -3.044215e-04, +1.341437e-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: UK0020
  Avg. res. = 2.424e-05 s
  Stddev    = 4.92e-03 s

Begin point on the trajectory:
  Lon =    -4.085940 +/- 0.0008 deg
  Lat =    51.991898 +/- 0.0014 deg
  Ht  = 94258.00 +/- 103.58 m
End point on the trajectory:
  Lon =    -4.088963 +/- 0.0007 deg
  Lat =    51.989879 +/- 0.0012 deg
  Ht  = 81933.69 +/- 78.87 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
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,    90718.54,    82433.75,          0.024500,     73.66,      1.43,              54.73, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210810_213716_249_0117248.fits"}
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,    94258.00,    81933.69,          0.011393,     34.96,      2.51,              54.71, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210810_213716_063_0114688.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,     UK001Z,       1,  0.058810, 2459437.400908770040, 163.63467,  59.43777,              328.05173,  31.38275,       327.92337,       31.38452,    163.63467,     +59.43777,     163.79948,      +59.36710,   681134.21, -3934328.47,  5075373.84,      51.991655,       -4.086286,   92775.57,  174696.70,       0.00,             1429.67,   106.58,      0.00,           22560.57,      6.27,    334.10,         394.54,  +4.77,  +3.56
  1,     UK001Z,       0,  0.139210, 2459437.400909700431, 163.08446,  58.93181,              327.91513,  30.81551,       327.90472,       30.81566,    163.08446,     +58.93181,     163.09840,      +58.92611,   680913.64, -3933111.57,  5073729.74,      51.991319,       -4.086762,   90718.54,  173582.18,    2057.33,             3487.00,   254.05,  25588.62,           22560.57,      0.53,     27.09,          32.20,  +3.73,  +2.53
  2,     UK001Z,       0,  0.179398, 2459437.400910165627, 162.75473,  58.79271,              327.96142,  30.59910,       327.89677,       30.60001,    162.75473,     +58.79271,     162.83853,      +58.75745,   680830.86, -3932654.88,  5073112.71,      51.991192,       -4.086982,   89946.52,  173169.70,    2829.43,             4259.10,    71.51,  19212.26,           22560.57,      3.22,    168.17,         200.35,  +3.04,  +1.85
  3,     UK001Z,       0,  0.219538, 2459437.400910630357, 162.59933,  58.57431,              327.86963,  30.38008,       327.88876,       30.37981,    162.59933,     +58.57431,     162.57568,      +58.58472,   680746.73, -3932190.73,  5072485.62,      51.991064,       -4.087203,   89161.88,  172752.91,    3614.13,             5043.80,   -97.28,  19549.15,           22560.57,     -0.98,    -49.76,          59.43,  +3.83,  +2.64
  4,     UK001Z,       0,  0.259770, 2459437.400911096018, 162.26165,  58.32583,              327.84196,  30.07613,       327.87915,       30.07558,    162.26165,     +58.32583,     162.21495,      +58.34599,   680631.00, -3931552.27,  5071623.01,      51.990887,       -4.087445,   88082.59,  172181.77,    4693.53,             6123.20,    26.43,  26829.47,           22836.80,     -1.91,    -96.70,         115.87,  +2.07,  +0.89
  5,     UK001Z,       0,  0.299982, 2459437.400911561213, 161.93173,  58.11794,              327.84342,  29.80520,       327.87021,       29.80481,    161.93173,     +58.11794,     161.89853,      +58.13243,   680528.68, -3930987.79,  5070860.36,      51.990731,       -4.087678,   87128.32,  171681.49,    5647.86,             7077.53,    25.55,  23732.40,           23039.65,     -1.37,    -69.67,          83.72,  +2.04,  +0.87
  6,     UK001Z,       0,  0.340186, 2459437.400912026409, 161.62116,  57.92155,              327.84649,  29.54903,       327.86159,       29.54882,    161.62116,     +57.92155,     161.60316,      +57.92968,   680432.52, -3930457.26,  5070143.59,      51.990584,       -4.087907,   86231.44,  171215.14,    6544.78,             7974.46,   -32.55,  22309.30,           23058.33,     -0.77,    -39.25,          47.29,  +1.76,  +0.59
  7,     UK001Z,       0,  0.380406, 2459437.400912492070, 161.29457,  57.70317,              327.84347,  29.26984,       327.85254,       29.26971,    161.29457,     +57.70317,     161.28449,      +57.70804,   680328.24, -3929881.91,  5069366.25,      51.990424,       -4.088141,   85258.78,  170712.81,    7517.49,             8947.16,   -15.25,  24184.55,           23148.89,     -0.46,    -23.57,          28.48,  +1.40,  +0.24
  8,     UK001Z,       0,  0.420602, 2459437.400912957266, 161.00591,  57.50747,              327.84097,  29.02042,       327.84409,       29.02038,    161.00591,     +57.50747,     161.00365,      +57.50914,   680235.63, -3929371.01,  5068676.00,      51.990283,       -4.088368,   84395.04,  170270.77,    8381.23,             9810.90,  -106.33,  21488.30,           23095.25,     -0.16,     -8.11,           9.83,  +2.20,  +1.04
  9,     UK001Z,       0,  0.460830, 2459437.400913422927, 160.68563,  57.26949,              327.82572,  28.72674,       327.83483,       28.72661,    160.68563,     +57.26949,     160.67583,      +57.27435,   680127.07, -3928772.06,  5067866.78,      51.990117,       -4.088605,   83382.46,  169755.74,    9393.83,            10823.50,   -49.33,  25171.46,           23169.90,     -0.47,    -23.67,          28.77,  +1.31,  +0.16
 10,     UK001Z,       0,  0.501038, 2459437.400913888123, 160.40673,  57.03649,              327.79648,  28.45012,       327.82591,       28.44970,    160.40673,     +57.03649,     160.37094,      +57.05214,   680025.36, -3928210.91,  5067108.63,      51.989961,       -4.088838,   82433.75,  169277.62,   10342.52,            11772.19,   -55.75,  23594.71,           23230.14,     -1.52,    -76.45,          93.17,  +2.72,  +1.58
  0,     UK0020,       0,  0.000000, 2459437.400908090174, 136.24139,  67.56406,              344.83921,  31.27950,       344.86045,       31.27929,    136.24139,     +67.56406,     136.19828,      +67.57175,   681293.17, -3935205.47,  5076558.73,      51.991898,       -4.085940,   94258.00,  178064.35,       0.00,               53.01,   126.91,      0.00,           24012.48,      4.03,    -56.28,          65.36,  +3.21,  +1.96
  1,     UK0020,       0,  0.040184, 2459437.400908555370, 135.94065,  67.36130,              344.85834,  31.04684,       344.85311,       31.04689,    135.94065,     +67.36130,     135.95138,      +67.35942,   681200.69, -3934695.27,  5075869.42,      51.991757,       -4.086166,   93395.59,  177591.48,     862.56,              809.55,   -71.10,  21465.23,           24012.48,     -0.99,     13.84,          16.12,  +4.45,  +3.20
  2,     UK0020,       0,  0.080456, 2459437.400909021497, 135.52725,  67.05991,              344.87712,  30.70593,       344.84434,       30.70625,    135.52725,     +67.05991,     135.59339,      +67.04823,   681065.93, -3933951.76,  5074864.89,      51.991551,       -4.086420,   92138.80,  176906.43,    2119.56,             2066.54,   229.26,  31212.69,           24012.48,     -6.23,     86.80,         101.46,  +5.86,  +4.62
  3,     UK0020,       0,  0.120612, 2459437.400909486227, 135.37487,  66.88313,              344.85303,  30.52053,       344.83765,       30.52068,    135.37487,     +66.88313,     135.40614,      +66.87768,   680993.04, -3933549.67,  5074321.63,      51.991440,       -4.086634,   91459.09,  176539.77,    2799.35,             2746.34,   -44.82,  16928.90,           24012.48,     -2.92,     40.73,          47.71,  +3.34,  +2.11
  4,     UK0020,       0,  0.160812, 2459437.400909951422, 135.14617,  66.65427,              344.83655,  30.27494,       344.83018,       30.27500,    135.14617,     +66.65427,     135.15951,      +66.65203,   680896.95, -3933019.51,  5073605.35,      51.991293,       -4.086863,   90562.90,  176058.34,    3695.65,             3642.64,  -103.45,  22296.02,           23202.03,     -1.21,     16.85,          19.80,  +2.74,  +1.51
  5,     UK0020,       0,  0.201048, 2459437.400910417084, 134.84658,  66.38802,              344.83400,  29.98317,       344.82212,       29.98328,    134.84658,     +66.38802,     134.87092,      +66.38386,   680783.48, -3932393.51,  5072759.58,      51.991120,       -4.087103,   89504.68,  175493.57,    4753.99,             4700.98,    -0.89,  26303.29,           23413.76,     -2.25,     31.43,          37.04,  +1.78,  +0.56
  6,     UK0020,       0,  0.241280, 2459437.400910882745, 134.59496,  66.12359,              344.81487,  29.70048,       344.81419,       29.70049,    134.59496,     +66.12359,     134.59731,      +66.12336,   680674.18, -3931790.52,  5071944.91,      51.990953,       -4.087341,   88485.35,  174953.99,    5773.42,             5720.41,    62.86,  25338.80,           23695.75,     -0.13,      1.80,           2.13,  +1.83,  +0.62
  7,     UK0020,       0,  0.281504, 2459437.400911348406, 134.33491,  65.87018,              344.80704,  29.42596,       344.80640,       29.42597,    134.33491,     +65.87018,     134.33733,      +65.86996,   680568.73, -3931208.73,  5071158.87,      51.990792,       -4.087576,   87501.84,  174437.53,    6757.01,             6704.00,    90.95,  24452.84,           23876.33,     -0.12,      1.69,           2.01,  +1.50,  +0.29
  8,     UK0020,       0,  0.321696, 2459437.400911813602, 134.08832,  65.65025,              344.81124,  29.18388,       344.79904,       29.18400,    134.08832,     +65.65025,     134.11344,      +65.64607,   680476.32, -3930698.89,  5070470.05,      51.990651,       -4.087802,   86639.93,  173988.58,    7618.96,             7565.95,    -1.84,  21445.72,           23798.63,     -2.31,     32.27,          38.36,  +2.00,  +0.80
  9,     UK0020,       0,  0.361912, 2459437.400912278797, 133.83980,  65.40063,              344.80473,  28.91392,       344.79134,       28.91405,    133.83980,     +65.40063,     133.86725,      +65.39607,   680373.76, -3930133.05,  5069705.56,      51.990494,       -4.088035,   85683.35,  173493.67,    8575.59,             8522.58,    -0.51,  23787.31,           23758.45,     -2.53,     35.40,          42.19,  +1.21,  +0.01
 10,     UK0020,       0,  0.402140, 2459437.400912744459, 133.63585,  65.13814,              344.77508,  28.63914,       344.78359,       28.63905,    133.63585,     +65.13814,     133.62115,      +65.14102,   680269.87, -3929559.90,  5068931.20,      51.990335,       -4.088270,   84714.40,  172996.28,    9544.57,             9491.55,    12.87,  24087.11,           23751.48,      1.60,    -22.48,          26.87,  +1.74,  +0.55
 11,     UK0020,       0,  0.442340, 2459437.400913209654, 133.40905,  64.90659,              344.77142,  28.38858,       344.77617,       28.38853,    133.40905,     +64.90659,     133.40180,      +64.90818,   680175.76, -3929040.72,  5068229.75,      51.990191,       -4.088497,   83836.65,  172549.42,   10422.31,            10369.30,   -64.31,  21834.45,           23673.76,      0.90,    -12.54,          15.03,  +1.63,  +0.45
 12,     UK0020,       0,  0.482572, 2459437.400913675316, 133.15140,  64.64308,              344.76937,  28.10312,       344.76832,       28.10313,    133.15140,     +64.64308,     133.15543,      +64.64273,   680069.12, -3928452.34,  5067434.82,      51.990028,       -4.088733,   82841.93,  172046.66,   11417.04,            11364.03,   -25.26,  24724.83,           23661.45,     -0.20,      2.78,           3.34,  +1.66,  +0.48
 13,     UK0020,       0,  0.522780, 2459437.400914140977, 132.91907,  64.40074,              344.76755,  27.84098,       344.76078,       27.84105,    132.91907,     +64.40074,     132.93410,      +64.39849,   679971.74, -3927915.14,  5066709.02,      51.989879,       -4.088963,   81933.69,  171591.60,   12325.25,            12272.24,   -72.17,  22587.74,           23623.04,     -1.28,     17.89,          21.56,  +2.84,  +1.67

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.