Orbital Analysis for matched events on 20210816_030210.959_UK

Summary for Event
-----------------
shower ID 197 AUD
Lg 340.78° Bg 86.37° Vg 24.45km/s
mass 0.22208g, abs. mag -0.3
Path Details
------------
start -0.20° 52.65° 94.09km
end   -0.12° 52.59° 83.74km

Orbit Details
-------------
Semimajor axis 2.81A.U., eccentricity 0.64, inclination 40.14°, Period 4.71Y, LA Sun 143.19°, last Perihelion 2016-12-05

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: 2459442.626515736803
Time: 2021-08-16 03:02:10.959660 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 28.14576 deg
 R.A. = 282.87089  Dec = +66.64877 deg

Best intersection: Stations UK000C and UK002F with Qconv = 28.15 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3873909.51 +/- 16.63 m
 Y =    688256.47 +/- 33.51 m
 Z =   5122042.54 +/- 55.31 m
 Vx =     2385.99 +/- 73.59 m/s
 Vy =   -10599.31 +/- 114.36 m/s
 Vz =    24563.60 +/- 186.09 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.957055e+02, -4.281440e+02, -7.972174e+02, +6.321054e+02, -1.320854e+03, -2.379373e+03
-4.281440e+02, +1.144912e+03, +1.637438e+03, -7.076454e+02, +2.939212e+03, +4.982658e+03
-7.972174e+02, +1.637438e+03, +3.113486e+03, -2.018890e+03, +5.789934e+03, +9.767654e+03
+6.321054e+02, -7.076454e+02, -2.018890e+03, +3.090119e+03, -5.010154e+03, -8.488372e+03
-1.320854e+03, +2.939212e+03, +5.789934e+03, -5.010154e+03, +1.297698e+04, +2.131027e+04
-2.379373e+03, +4.982658e+03, +9.767654e+03, -8.488372e+03, +2.131027e+04, +3.530067e+04

Timing offsets (from input data):
    UK000C: 0.000337 s
    UK002F: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 03:02:10.959660 UTC
  Lon     = +-0.203042 +/- 0.0005 deg
  Lat     = +52.652846 +/- 0.0004 deg
  Lat geo = +52.469791 +/- 0.0004 deg
  Ht      =   94096.96 +/- 39.22 m

  JD dynamic   = 2459442.627316477709 
  LST apparent = 10.0743103624 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 282.68630 +/- 0.1848 deg
  Dec       = +66.14006 +/- 0.3973 deg
  Azimuth   = 323.19976 +/- 0.5518 deg
  Elevation = +47.57970 +/- 0.1564 deg
  Vavg      =  26.33664 +/- 0.1443 km/s
  Vinit     =  26.85905 +/- 0.1189 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 282.75712 +/- 0.1848 deg
  Dec       = +66.70161 +/- 0.3973 deg
  Azimuth   = 323.93320 +/- 0.5518 deg
  Elevation = +47.84919 +/- 0.1564 deg
  Vavg      =  26.22199 +/- 0.1443 km/s
  Vinit     =  26.74441 +/- 0.1189 km/s
Radiant (geocentric, J2000):
  R.A.   = 278.18243 +/- 0.1955 deg
  Dec    = +65.14202 +/- 0.4213 deg
  Vg     =  24.45371 +/- 0.1308 km/s
  Vinf   =  26.85905 +/- 0.1189 km/s
  Zc     =  42.56699 +/- 0.1554 deg
  Zg     =  44.65928 +/- 0.1836 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 340.77857 +/- 4.4577 deg
  Bg     = +86.36721 +/- 0.2795 deg
  Vh     =  37.89936 +/- 0.0182 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 236.77059 +/- 0.2409 deg
  Bh     = +40.08570 +/- 0.2819 deg
  Vh_x   =  15.88967 +/- 0.0455 km/s
  Vh_y   =  24.25477 +/- 0.1695 km/s
  Vh_z   = -24.40464 +/- 0.1389 km/s
Orbit:
  La Sun = 143.191793 +/- nan deg
  a      =   2.809677 +/- 0.0121 AU
  e      =   0.640640 +/- 0.0016
  i      =  40.140644 +/- 0.2740 deg
  peri   = 187.009502 +/- 0.5032 deg
  node   = 143.197188 +/- 0.0000 deg
  Pi     = 330.206691 +/- 0.5032 deg
  q      =   1.009685 +/- 0.0005 AU
  f      = 352.985637 +/- 0.5032 deg
  M      = 358.817983 +/- 0.0832 deg
  Q      =   4.609669 +/- 0.0243 AU
  n      =   0.209276 +/- 0.0014 deg/day
  T      =   4.709613 +/- 0.0303 years
  Last perihelion JD = 2457728.059412 (2016-12-05 13:25:33.204947) +/- 10.9938 days
  Tj     =   2.714860 +/- 0.0069
Shower association:
  IAU No.  =  197
  IAU code =  AUD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.734634e-06, -2.573811e-07, -1.849922e-02, +5.366298e-10, +4.205590e-06, -3.983639e-06
q   , -2.573811e-07, +2.452885e-07, +9.981666e-04, -3.119878e-10, -4.458333e-06, +2.330478e-06
Tp  , -1.849922e-02, +9.981666e-04, +1.276473e+02, -2.750913e-06, -1.477439e-02, +2.037062e-02
node, +5.366298e-10, -3.119878e-10, -2.750913e-06, +4.220255e-13, +5.628231e-09, -3.149845e-09
peri, +4.205590e-06, -4.458333e-06, -1.477439e-02, +5.628231e-09, +8.121208e-05, -4.205375e-05
i   , -3.983639e-06, +2.330478e-06, +2.037062e-02, -3.149845e-09, -4.205375e-05, +2.351038e-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: UK002F
  Avg. res. = 2.434e-05 s
  Stddev    = 4.93e-03 s

Begin point on the trajectory:
  Lon =    -0.202987 +/- 0.0005 deg
  Lat =    52.652801 +/- 0.0004 deg
  Ht  = 94090.05 +/- 40.28 m
End point on the trajectory:
  Lon =    -0.122799 +/- 0.0004 deg
  Lat =    52.585546 +/- 0.0005 deg
  Ht  = 83737.26 +/- 51.62 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,    93807.25,    83737.26,          0.012709,     39.29,      9.66,              41.37, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210816_030207_121_0624896.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,  39.536916,    94090.05,    83855.18,          0.010032,     25.01,      4.07,              54.91, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210816_030205_146_0620544.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,  0.007707, 2459442.626516298391, 160.36867,  66.36645,               13.00526,  29.70869,        12.98709,       29.68866,    160.36867,     +66.36645,     160.42328,      +66.35323,  3873874.64,   688411.35,  5121683.63,      52.650969,       -0.200936,   93807.25,  185244.60,       0.00,              392.46,   202.40,      0.00,           24383.99,    -19.68,     80.10,          91.84,  +2.67,  +1.33
  1,     UK000C,       0,  0.047891, 2459442.626516763587, 160.20905,  66.15626,               13.15952,  29.53455,        13.17820,       29.55506,    160.20905,     +66.15626,     160.15391,      +66.16972,  3873780.99,   688827.38,  5120719.48,      52.645925,       -0.194900,   93029.05,  184451.69,    1054.24,             1446.70,   177.34,  26235.43,           24383.99,     20.11,    -81.78,          94.18,  +2.79,  +1.46
  2,     UK000C,       0,  0.088023, 2459442.626517227851, 159.91190,  66.00388,               13.35092,  29.43466,        13.35029,       29.43398,    159.91190,     +66.00388,     159.91429,      +66.00343,  3873696.93,   689200.79,  5119854.11,      52.641396,       -0.189499,   92330.63,  183741.97,    2000.49,             2392.94,    45.67,  23578.23,           24383.99,     -0.67,      2.72,           3.15,  +2.61,  +1.29
  3,     UK000C,       0,  0.128171, 2459442.626517692581, 159.67729,  65.83465,               13.52276,  29.31066,        13.52357,       29.31155,    159.67729,     +65.83465,     159.67560,      +65.83523,  3873612.75,   689574.77,  5118987.43,      52.636859,       -0.184091,   91631.21,  183033.26,    2948.15,             3340.61,   -85.00,  23604.25,           24383.99,      0.87,     -3.54,           4.10,  +2.82,  +1.51
  4,     UK000C,       0,  0.168347, 2459442.626518157311, 159.40968,  65.63305,               13.72327,  29.16191,        13.72788,       29.16694,    159.40968,     +65.63305,     159.39705,      +65.63630,  3873514.39,   690011.71,  5117974.83,      52.631557,       -0.177743,   90814.09,  182208.32,    4055.38,             4447.84,   -56.86,  27559.49,           24914.62,      4.89,    -19.91,          23.21,  +2.27,  +0.97
  5,     UK000C,       0,  0.208515, 2459442.626518622506, 159.09717,  65.43868,               13.94172,  29.02742,        13.93474,       29.01980,    159.09717,     +65.43868,     159.11855,      +65.43380,  3873415.43,   690451.33,  5116956.02,      52.626221,       -0.171355,   89992.04,  181381.31,    5169.40,             5561.85,   -21.72,  27733.93,           25469.08,     -7.38,     30.01,          35.14,  +2.50,  +1.21
  6,     UK000C,       0,  0.248679, 2459442.626519087236, 158.83357,  65.24798,               14.13810,  28.88981,        14.12950,       28.88045,    158.83357,     +65.24798,     158.85968,      +65.24202,  3873322.70,   690863.27,  5116001.36,      52.621219,       -0.165380,   89221.80,  180608.95,    6213.27,             6605.73,   -56.61,  25990.34,           25722.92,     -9.04,     36.78,          43.25,  +1.81,  +0.53
  7,     UK000C,       0,  0.288859, 2459442.626519552432, 158.55114,  65.03740,               14.35221,  28.73735,        14.34288,       28.72723,    158.55114,     +65.03740,     158.57935,      +65.03099,  3873221.88,   691311.14,  5114963.44,      52.615779,       -0.158870,   88384.47,  179772.49,    7348.19,             7740.64,    -0.89,  28245.79,           26039.04,     -9.75,     39.66,          46.86,  +1.72,  +0.45
  8,     UK000C,       0,  0.329023, 2459442.626520017162, 158.30255,  64.84830,               14.54320,  28.60037,        14.53325,       28.58959,    158.30255,     +64.84830,     158.33256,      +64.84151,  3873132.26,   691709.25,  5114040.84,      52.610942,       -0.153101,   87640.22,  179031.39,    8357.00,             8749.46,   -70.85,  25117.32,           26125.07,    -10.35,     42.09,          49.93,  +1.89,  +0.63
  9,     UK000C,       0,  0.369239, 2459442.626520482823, 158.00399,  64.59413,               14.78523,  28.41164,        14.78277,       28.40898,    158.00399,     +64.59413,     158.01267,      +64.59247,  3873016.12,   692225.19,  5112845.16,      52.604671,       -0.145575,   86675.81,  178075.55,    9664.42,            10056.87,   156.41,  32509.85,           26517.64,     -2.54,     10.32,          12.31,  +1.46,  +0.21
 10,     UK000C,       0,  0.409403, 2459442.626520947553, 157.75846,  64.40253,               14.97791,  28.27334,        14.97408,       28.26920,    157.75846,     +64.40253,     157.77117,      +64.39996,  3872927.20,   692620.18,  5111929.78,      52.599868,       -0.139852,   85937.51,  177346.12,   10665.34,            11057.80,    78.57,  24920.96,           26659.12,     -3.94,     16.04,          19.21,  +1.53,  +0.29
 11,     UK000C,       0,  0.449579, 2459442.626521412749, 157.51436,  64.19582,               15.17727,  28.12148,        15.17655,       28.12070,    157.51436,     +64.19582,     157.51844,      +64.19534,  3872833.73,   693035.43,  5110967.46,      52.594818,       -0.133828,   85161.43,  176582.24,   11717.59,            12110.04,    51.72,  26190.86,           26722.72,     -0.74,      3.01,           3.62,  +1.50,  +0.27
 12,     UK000C,       0,  0.489763, 2459442.626521877479, 157.22031,  63.98036,               15.40427,  27.97050,        15.39463,       27.96014,    157.22031,     +63.98036,     157.24945,      +63.97400,  3872733.79,   693479.39,  5109938.59,      52.589417,       -0.127375,   84331.76,  175768.96,   12842.60,            13235.05,    97.43,  27996.53,           26803.17,     -9.83,     39.96,          48.29,  +1.86,  +0.64
 13,     UK000C,       0,  0.529899, 2459442.626522342209, 157.04202,  63.81801,               15.55614,  27.85007,        15.55057,       27.84410,    157.04202,     +63.81801,     157.05988,      +63.81436,  3872662.18,   693797.50,  5109201.37,      52.585546,       -0.122799,   83737.26,  175187.47,   13648.72,            14041.17,  -174.47,  20084.71,           26661.94,     -5.65,     22.99,          27.87,  +4.99,  +3.77
  0,     UK002F,       0,  0.000000, 2459442.626515736803, 107.54883,  58.93017,               40.89252,  38.78292,        40.88955,       38.77973,    107.54883,     +58.93017,     107.55646,      +58.93001,  3873908.68,   688260.17,  5122033.98,      52.652801,       -0.202987,   94090.05,  148444.66,       0.00,                9.36,    26.31,      0.00,           26672.73,     -1.64,    -10.09,          14.20,  +4.46,  +3.60
  1,     UK002F,       0,  0.040160, 2459442.626516201533, 107.52102,  58.65853,               41.17629,  38.62493,        41.17066,       38.61893,    107.52102,     +58.65853,     107.53548,      +58.65822,  3873831.33,   688603.78,  5121237.68,      52.648636,       -0.198031,   93447.30,  147939.48,     870.72,              880.08,  -181.64,  21681.17,           26672.73,     -3.09,    -18.96,          26.79,  +2.18,  +1.33
  2,     UK002F,       0,  0.080412, 2459442.626516667660, 107.48547,  58.23809,               41.61021,  38.37635,        41.60328,       38.36901,    107.48547,     +58.23809,     107.50314,      +58.23772,  3873713.24,   689128.35,  5120022.01,      52.642275,       -0.190378,   92466.14,  147177.87,    2199.99,             2209.35,    66.51,  33023.88,           26672.73,     -3.77,    -23.15,          32.88,  +1.78,  +0.94
  3,     UK002F,       0,  0.120580, 2459442.626517132390, 107.43909,  57.94269,               41.92261,  38.20977,        41.90584,       38.19208,    107.43909,     +57.94269,     107.48113,      +57.94179,  3873630.55,   689495.69,  5119170.70,      52.637819,       -0.185068,   91779.10,  146647.48,    3130.86,             3140.22,   -81.50,  23174.24,           26672.73,     -9.07,    -55.74,          79.43,  +2.01,  +1.18
  4,     UK002F,       0,  0.160824, 2459442.626517598052, 107.47046,  57.57432,               42.27223,  37.96430,        42.27919,       37.97161,    107.47046,     +57.57432,     107.45410,      +57.57469,  3873529.03,   689946.67,  5118125.57,      52.632346,       -0.178511,   90935.73,  146003.12,    4273.65,             4283.01,   -19.62,  28396.64,           26880.15,      3.74,     22.98,          32.90,  +1.71,  +0.89
  5,     UK002F,       0,  0.201028, 2459442.626518063713, 107.42244,  57.21841,               42.64162,  37.75866,        42.63949,       37.75644,    107.42244,     +57.21841,     107.42842,      +57.21830,  3873431.28,   690380.90,  5117119.26,      52.627076,       -0.172204,   90123.75,  145388.17,    5374.00,             5383.36,     0.89,  27369.22,           27009.24,     -1.14,     -6.97,          10.02,  +1.43,  +0.62
  6,     UK002F,       0,  0.241256, 2459442.626518528908, 107.38280,  56.83819,               43.02927,  37.53323,        43.02187,       37.52554,    107.38280,     +56.83819,     107.40148,      +56.83781,  3873327.88,   690840.22,  5116054.78,      52.621498,       -0.165523,   89264.91,  144744.22,    6537.95,             6547.32,    84.35,  28933.88,           27261.66,     -3.93,    -24.13,          34.83,  +1.47,  +0.67
  7,     UK002F,       0,  0.281484, 2459442.626518994570, 107.36854,  56.46682,               43.39509,  37.30178,        43.39252,       37.29913,    107.36854,     +56.46682,     107.37577,      +56.46669,  3873227.87,   691284.50,  5115025.19,      52.616102,       -0.159066,   88434.30,  144127.29,    7663.76,             7673.12,   129.67,  27985.66,           27427.18,     -1.35,     -8.30,          12.03,  +1.29,  +0.50
  8,     UK002F,       0,  0.321700, 2459442.626519460231, 107.35584,  56.11234,               43.74187,  37.07955,        43.74421,       37.08195,    107.35584,     +56.11234,     107.35173,      +56.11246,  3873133.15,   691705.28,  5114050.04,      52.610990,       -0.152959,   87647.67,  143548.26,    8730.03,             8739.39,   115.78,  26513.62,           27443.49,      1.23,      7.52,          10.95,  +1.09,  +0.31
  9,     UK002F,       0,  0.361896, 2459442.626519925427, 107.31935,  55.78141,               44.07506,  36.88184,        44.07122,       36.87791,    107.31935,     +55.78141,     107.32973,      +55.78122,  3873045.19,   692096.03,  5113144.49,      52.606241,       -0.147300,   86917.23,  143015.05,    9720.21,             9729.57,    26.33,  24633.60,           27298.61,     -2.00,    -12.29,          17.95,  +1.36,  +0.58
 10,     UK002F,       0,  0.402132, 2459442.626520391088, 107.33339,  55.40868,               44.42329,  36.63455,        44.43631,       36.64781,    107.33339,     +55.40868,     107.30535,      +55.40933,  3872947.32,   692530.80,  5112136.91,      52.600955,       -0.140984,   86104.56,  142428.15,   10821.95,            10831.31,    47.37,  27382.05,           27223.37,      6.75,     41.42,          60.78,  +1.02,  +0.25
 11,     UK002F,       0,  0.442368, 2459442.626520856749, 107.29700,  55.01635,               44.81103,  36.39530,        44.81936,       36.40373,    107.29700,     +55.01635,     107.28008,      +55.01676,  3872844.92,   692985.71,  5111082.67,      52.595423,       -0.134369,   85254.35,  141820.87,   11974.70,            11984.06,   119.42,  28649.78,           27234.85,      4.29,     26.31,          38.78,  +0.89,  +0.13
 12,     UK002F,       0,  0.482572, 2459442.626521321945, 107.26895,  54.67371,               45.14623,  36.18395,        45.15180,       36.18957,    107.26895,     +54.67371,     107.25853,      +54.67398,  3872756.08,   693380.35,  5110168.11,      52.590622,       -0.128651,   84516.83,  141298.59,   12974.73,            12984.09,    39.61,  24873.91,           27163.99,      2.85,     17.51,          25.90,  +1.22,  +0.47
 13,     UK002F,       0,  0.522760, 2459442.626521787141, 107.25311,  54.36434,               45.44303,  35.98834,        45.45018,       35.99551,    107.25311,     +54.36434,     107.23949,      +54.36468,  3872676.38,   693734.40,  5109347.60,      52.586314,       -0.123539,   83855.18,  140833.67,   13871.91,            13881.27,  -142.62,  22324.58,           26981.28,      3.64,     22.36,          33.18,  +1.96,  +1.22
 14,     UK002F,       1,  0.562924, 2459442.626522252336, 107.26370,  54.10961,               45.67515,  35.81637,        45.69419,       35.83545,    107.26370,     +54.10961,     107.22423,      +54.11052,  3872611.10,   694024.38,  5108675.59,      52.582785,       -0.119383,   83313.27,  140454.72,   14606.72,            14616.08,  -486.58,  18295.14,           26645.69,      9.68,     59.37,          88.34,  +5.39,  +4.65

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.