Orbital Analysis for matched events on 20210929_042830.584_UK

Summary for Event
-----------------
shower ID 424 SOL
Lg 104.65° Bg 25.42° Vg 64.59km/s
mass 0.00924g, abs. mag -0.2
Path Details
------------
start -0.63° 51.54° 111.06km
end   -0.71° 51.54° 98.64km

Orbit Details
-------------
Semimajor axis 5.84A.U., eccentricity 0.84, inclination 135.21°, Period 14.13Y, LA Sun 185.96°, last Perihelion 2021-09-10

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: 2459486.686465101317
Time: 2021-09-29 04:28:30.625067 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK000S
 Convergence angle = 0.41647 deg
 R.A. = 340.45752  Dec = -58.86990 deg
Intersection 2 - Stations: UK0001 and UK001Z
 Convergence angle = 35.75894 deg
 R.A. = 111.45943  Dec = +47.61186 deg
Intersection 3 - Stations: UK0001 and UK002W
 Convergence angle = 57.62559 deg
 R.A. = 111.41527  Dec = +47.58693 deg
Intersection 4 - Stations: UK000S and UK001Z
 Convergence angle = 35.40096 deg
 R.A. = 110.91857  Dec = +47.58400 deg
Intersection 5 - Stations: UK000S and UK002W
 Convergence angle = 57.26745 deg
 R.A. = 111.05849  Dec = +47.66290 deg
Intersection 6 - Stations: UK001Z and UK002W
 Convergence angle = 21.86666 deg
 R.A. = 111.32916  Dec = +47.60539 deg

Best intersection: Stations UK0001 and UK002W with Qconv = 57.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1069846.15 +/- 103.24 m
 Y =   3901457.14 +/- 87.17 m
 Z =   5059916.36 +/- 114.30 m
 Vx =   -15091.10 +/- 241.93 m/s
 Vy =    41288.08 +/- 554.44 m/s
 Vz =    48611.04 +/- 573.42 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.113542e+04, -9.229276e+03, -1.203783e+04, +5.770056e+04, -2.912860e+04, -4.001931e+04
-9.229276e+03, +8.031885e+03, +1.009370e+04, -4.719967e+04, +2.448511e+04, +3.205153e+04
-1.203783e+04, +1.009370e+04, +1.377067e+04, -6.372686e+04, +3.167591e+04, +4.773379e+04
+5.770056e+04, -4.719967e+04, -6.372686e+04, +3.113441e+05, -1.569639e+05, -2.304091e+05
-2.912860e+04, +2.448511e+04, +3.167591e+04, -1.569639e+05, +8.550874e+04, +1.150876e+05
-4.001931e+04, +3.205153e+04, +4.773379e+04, -2.304091e+05, +1.150876e+05, +1.957251e+05

Timing offsets (from input data):
    UK0001: 0.000070 s
    UK000S: 0.000171 s
    UK001Z: -0.000102 s
    UK002W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:28:30.625067 UTC
  Lon     = +-0.621141 +/- 0.0017 deg
  Lat     = +51.541400 +/- 0.0003 deg
  Lat geo = +51.357107 +/- 0.0003 deg
  Ht      =  113211.97 +/- 123.33 m

  JD dynamic   = 2459486.687266308814 
  LST apparent = 74.6654616913 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 110.07773 +/- 0.5233 deg
  Dec       = +47.87655 +/- 0.1310 deg
  Azimuth   =  85.11114 +/- 0.3862 deg
  Elevation = +67.04067 +/- 0.3407 deg
  Vavg      =  64.28361 +/- 0.5913 km/s
  Vinit     =  65.53991 +/- 0.6372 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 110.38988 +/- 0.5233 deg
  Dec       = +47.76548 +/- 0.1310 deg
  Azimuth   =  85.16684 +/- 0.3862 deg
  Elevation = +66.80447 +/- 0.3407 deg
  Vavg      =  64.39883 +/- 0.5913 km/s
  Vinit     =  65.65512 +/- 0.6372 km/s
Radiant (geocentric, J2000):
  R.A.   = 109.90721 +/- 0.5225 deg
  Dec    = +47.85446 +/- 0.1317 deg
  Vg     =  64.59432 +/- 0.6462 km/s
  Vinf   =  65.53991 +/- 0.6372 km/s
  Zc     =  22.97573 +/- 0.3414 deg
  Zg     =  23.14495 +/- 0.3408 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 104.65393 +/- 0.3912 deg
  Bg     = +25.42437 +/- 0.1269 deg
  Vh     =  40.24034 +/- 0.6663 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 112.57360 +/- 0.6064 deg
  Bh     = +43.56723 +/- 0.3283 deg
  Vh_x   =  11.19242 +/- 0.5400 km/s
  Vh_y   = -26.92301 +/- 0.4450 km/s
  Vh_z   = -27.73385 +/- 0.3372 km/s
Orbit:
  La Sun = 185.959243 +/- 0.0000 deg
  a      =   5.844084 +/- 131.0943 AU
  e      =   0.836657 +/- 0.0592
  i      = 135.211881 +/- 0.2478 deg
  peri   = 153.709737 +/- 0.3746 deg
  node   = 185.960727 +/- 0.0000 deg
  Pi     = 339.670464 +/- 0.3746 deg
  q      =   0.954590 +/- 0.0024 AU
  f      =  26.289424 +/- 0.3746 deg
  M      =   1.322926 +/- nan deg
  Q      =  10.733579 +/- 262.1894 AU
  n      =   0.069764 +/- 0.0211 deg/day
  T      =  14.127826 +/- 399999459.8034 years
  Last perihelion JD = 2459467.724311 (2021-09-10 05:23:00.471061) +/- 0.3051 days
  Tj     =   0.066651 +/- 0.3384
Shower association:
  IAU No.  =  424
  IAU code =  SOL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.335456e-03, -1.275293e-04, +1.286528e-02, -4.034612e-09, -1.389583e-04, +1.921707e-04
q   , -1.275293e-04, +6.680182e-06, -1.944184e-04, +2.076940e-10, +1.349316e-05, -9.898731e-06
Tp  , +1.286528e-02, -1.944184e-04, +9.887281e-02, -6.469852e-09, +8.161783e-04, +3.071203e-04
node, -4.034612e-09, +2.076940e-10, -6.469852e-09, +8.614025e-15, +4.151201e-10, -4.094397e-10
peri, -1.389583e-04, +1.349316e-05, +8.161783e-04, +4.151201e-10, +4.293647e-05, -1.980131e-05
i   , +1.921707e-04, -9.898731e-06, +3.071203e-04, -4.094397e-10, -1.980131e-05, +1.946230e-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: UK002W
  Avg. res. = 9.687e-07 s
  Stddev    = 9.84e-04 s

Begin point on the trajectory:
  Lon =    -0.634013 +/- 0.0013 deg
  Lat =    51.540712 +/- 0.0002 deg
  Ht  = 111059.49 +/- 87.11 m
End point on the trajectory:
  Lon =    -0.709333 +/- 0.0007 deg
  Lat =    51.536710 +/- 0.0002 deg
  Ht  = 98641.99 +/- 32.65 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   108870.40,    99171.34,          0.021297,      0.14,     56.67,              28.27, 0.2243,    True,    True, {"ff_name": "FF_UK0001_20210929_042823_747_0905728.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   107792.92,    98641.99,          0.020899,      0.20,     53.62,              28.27, 0.2243,    True,    True, {"ff_name": "FF_UK000S_20210929_042832_982_0898560.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   108927.41,    99299.63,          0.016919,     34.42,     49.76,              34.67, 0.3235,    True,    True, {"ff_name": "FF_UK001Z_20210929_042827_117_0898816.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   111059.49,    98917.91,          0.007097,     16.53,     11.10,              23.04, 0.1532,    True,    True, {"ff_name": "FF_UK002W_20210929_042829_001_0902656.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,     UK0001,       0,  0.078026, 2459486.686466003768, 157.97313,  58.84383,               45.75889,  44.04398,        45.71126,       44.06309,    157.97313,     +58.84383,     157.97329,      +58.88303,  1070931.89,  3898486.64,  5056419.00,      51.540011,       -0.647270,  108870.40,  155134.48,       0.00,             4715.31,    -3.74,      0.00,           64403.15,   -106.15,      0.14,         141.14,  +2.26,  +1.31
  1,     UK0001,       0,  0.118214, 2459486.686466468498, 158.97947,  58.88554,               45.35496,  43.61089,        45.35599,       43.61047,    158.97947,     +58.88554,     158.97995,      +58.88468,  1071573.95,  3896730.01,  5054350.81,      51.539187,       -0.662812,  106303.19,  152716.01,    2788.45,             7503.76,   150.79,  69385.05,           64403.15,      2.29,     -0.01,           3.09,  +1.38,  +0.46
  2,     UK0001,       0,  0.158414, 2459486.686466934159, 159.90352,  58.87925,               45.03454,  43.19389,        45.03396,       43.19412,    159.90352,     +58.87925,     159.90420,      +58.87973,  1072146.22,  3895164.32,  5052507.43,      51.538450,       -0.676694,  104015.17,  150570.67,    5273.79,             9989.10,     1.43,  61824.41,           64403.15,     -1.26,      0.00,           1.73,  +1.17,  +0.28
  3,     UK0001,       0,  0.198610, 2459486.686467399355, 160.87093,  58.88105,               44.68546,  42.76405,        44.70179,       42.75752,    160.87093,     +58.88105,     160.87072,      +58.86742,  1072728.03,  3893572.54,  5050633.32,      51.537698,       -0.690812,  101689.15,  148400.71,    7800.56,            12515.87,  -106.25,  62861.22,           64403.15,     35.35,     -0.13,          49.13,  +1.09,  +0.23
  4,     UK0001,       0,  0.238834, 2459486.686467864551, 161.94971,  58.86812,               44.30923,  42.28007,        44.33696,       42.26901,    161.94971,     +58.86812,     161.94823,      +58.84484,  1073357.85,  3891849.39,  5048604.56,      51.536882,       -0.706093,   99171.34,  146065.31,   10535.84,            15251.15,    -7.24,  68001.22,           64883.13,     59.43,     -0.24,          83.93,  +2.29,  +1.47
  0,     UK000S,       0,  0.091619, 2459486.686466159765, 158.39158,  58.87970,               45.56886,  43.87254,        45.56321,       43.87480,    158.39158,     +58.87970,     158.39199,      +58.88435,  1071201.36,  3897749.38,  5055550.98,      51.539666,       -0.653778,  107792.92,  154118.42,       0.00,             5885.62,   275.69,      0.00,           63185.95,    -12.53,      0.03,          16.77,  +1.67,  +0.73
  1,     UK000S,       0,  0.132015, 2459486.686466627289, 159.28235,  58.87651,               45.25865,  43.47049,        45.24983,       43.47403,    159.28235,     +58.87651,     159.28313,      +58.88382,  1071763.45,  3896211.55,  5053740.40,      51.538943,       -0.667410,  105545.53,  152004.38,    2441.13,             8326.75,    69.26,  60429.90,           63185.95,    -19.40,      0.05,          26.32,  +1.13,  +0.22
  2,     UK000S,       0,  0.172443, 2459486.686467095278, 160.22835,  58.88081,               44.91660,  43.04975,        44.92186,       43.04764,    160.22835,     +58.88081,     160.22882,      +58.87643,  1072343.47,  3894624.65,  5051872.04,      51.538195,       -0.681480,  103226.56,  149833.67,    4960.13,            10845.76,   -61.38,  62308.48,           63185.95,     11.47,     -0.04,          15.79,  +0.76,  -0.12
  3,     UK000S,       0,  0.212915, 2459486.686467563733, 161.28100,  58.89567,               44.52030,  42.58979,        44.56313,       42.57266,    161.28100,     +58.89567,     161.27880,      +58.85981,  1072968.81,  3892913.78,  5049857.73,      51.537387,       -0.696648,  100726.58,  147506.43,    7675.94,            13561.57,     1.90,  67103.40,           63185.95,     92.41,     -0.40,         129.22,  +1.56,  +0.72
  4,     UK000S,       0,  0.253319, 2459486.686468031257, 162.17462,  58.81117,               44.29250,  42.15110,        44.25885,       42.16449,    162.17462,     +58.81117,     162.17894,      +58.83943,  1073490.27,  3891487.11,  5048178.02,      51.536710,       -0.709333,   98641.99,  145575.17,    9940.61,            15826.24,  -381.50,  56050.67,           62122.65,    -71.92,      0.17,         101.90,  +3.69,  +2.87
  0,     UK001Z,       0,  0.074405, 2459486.686465963721, 159.87077,  38.93486,               64.50659,  30.57443,        64.49395,       30.57678,    159.87077,     +38.93486,     159.87841,      +38.94443,  1070917.63,  3898525.65,  5056464.93,      51.540030,       -0.646914,  108927.41,  209061.14,       0.00,             4653.39,   171.61,      0.00,           64677.95,    -33.39,    -23.14,          40.09,  +2.40,  +0.80
  1,     UK001Z,       0,  0.114733, 2459486.686466430314, 160.30855,  38.75084,               64.39274,  30.19963,        64.39760,       30.19872,    160.30855,     +38.75084,     160.30619,      +38.74716,  1071460.05,  3897041.64,  5054717.71,      51.539333,       -0.660070,  106758.60,  207165.21,    2355.69,             7009.09,  -115.79,  58413.38,           64677.95,     12.77,      8.84,          15.47,  +0.76,  -0.82
  2,     UK001Z,       0,  0.155121, 2459486.686466897838, 160.82788,  38.53957,               64.24935,  29.75949,        64.28523,       29.75280,    160.82788,     +38.53957,     160.80738,      +38.51235,  1072086.90,  3895326.63,  5052698.53,      51.538526,       -0.675258,  104252.36,  204987.62,    5078.06,             9731.45,   -40.45,  67405.27,           64677.95,     93.77,     64.81,         114.70,  +0.66,  -0.90
  3,     UK001Z,       0,  0.195493, 2459486.686467365362, 161.30410,  38.25814,               64.18841,  29.29507,        64.17171,       29.29817,    161.30410,     +38.25814,     161.31487,      +38.27082,  1072712.48,  3893615.10,  5050683.43,      51.537718,       -0.690427,  101751.34,  202827.66,    7794.92,            12448.31,    30.43,  67295.63,           64677.95,    -43.32,    -30.02,          53.60,  +0.78,  -0.76
  4,     UK001Z,       0,  0.235889, 2459486.686467832886, 161.82344,  38.03299,               64.05097,  28.84443,        64.05903,       28.84293,    161.82344,     +38.03299,     161.81958,      +38.02687,  1073325.76,  3891937.19,  5048707.92,      51.536924,       -0.705312,   99299.63,  200723.21,   10458.39,            15111.79,    46.35,  65934.13,           65282.04,     20.79,     14.39,          25.98,  +1.30,  -0.21
  5,     UK001Z,       1,  0.276109, 2459486.686468298081, 162.08791,  37.82802,               64.05386,  28.55199,        63.98968,       28.56386,    162.08791,     +37.82802,     162.12793,      +37.87677,  1073696.24,  3890923.61,  5047514.57,      51.536443,       -0.714374,   97818.63,  199454.81,   12067.34,            16720.73,  -980.72,  40003.57,           61857.56,   -164.72,   -114.42,         207.40,  +4.06,  +2.56
  0,     UK002W,       1,  0.000000, 2459486.686465101317, 139.53872,  36.73343,               80.35720,  41.73726,        80.49685,       41.73132,    139.53872,     +36.73343,     139.46113,      +36.64963,  1069842.32,  3901467.62,  5059928.69,      51.541404,       -0.620881,  113227.28,  168207.00,       0.00,               16.63,   411.36,      0.00,           62411.14,    171.79,    253.74,         375.76,  +6.03,  +4.90
  1,     UK002W,       0,  0.040296, 2459486.686465567909, 139.79272,  36.45288,               80.46969,  41.40079,        80.47219,       41.40069,    139.79272,     +36.45288,     139.79149,      +36.45139,  1070384.43,  3899984.45,  5058182.47,      51.540712,       -0.634013,  111059.49,  166054.83,    2354.34,             2337.72,    91.45,  58426.22,           62411.14,      3.02,      4.51,           6.74,  +2.41,  +1.31
  2,     UK002W,       0,  0.080608, 2459486.686466034502, 140.16114,  36.24238,               80.42921,  41.03824,        80.44546,       41.03759,    140.16114,     +36.24238,     140.15228,      +36.23260,  1070963.71,  3898399.58,  5056316.49,      51.539971,       -0.648043,  108743.15,  163761.95,    4870.15,             4853.52,   -34.79,  62408.34,           62411.14,     19.55,     29.12,          44.18,  +1.11,  +0.04
  3,     UK002W,       0,  0.120948, 2459486.686466501094, 140.54927,  35.99605,               80.40897,  40.63982,        80.41655,       40.63952,    140.54927,     +35.99605,     140.54545,      +35.99148,  1071580.42,  3896712.31,  5054329.97,      51.539179,       -0.662979,  106277.32,  161328.97,    7548.48,             7531.85,    -0.33,  66393.98,           62411.14,      9.04,     13.47,          20.74,  +0.78,  -0.26
  4,     UK002W,       0,  0.161296, 2459486.686466968153, 140.94509,  35.74732,               80.38311,  40.23441,        80.38746,       40.23423,    140.94509,     +35.74732,     140.94326,      +35.74469,  1072189.82,  3895045.04,  5052366.99,      51.538394,       -0.677751,  103840.86,  158932.61,   10195.08,            10178.45,     1.86,  65594.29,           63446.64,      5.14,      7.66,          11.97,  +0.63,  -0.38
  5,     UK002W,       0,  0.201648, 2459486.686467435211, 141.35181,  35.49918,               80.34644,  39.82199,        80.35818,       39.82152,    141.35181,     +35.49918,     141.34584,      +35.49205,  1072792.14,  3893397.15,  5050426.83,      51.537615,       -0.692363,  101432.88,  156572.08,   12810.90,            12794.27,   -26.99,  64825.00,           63939.37,     13.76,     20.49,          32.51,  +0.77,  -0.20
  6,     UK002W,       0,  0.242032, 2459486.686467902735, 141.77215,  35.21463,               80.33316,  39.37658,        80.32707,       39.37683,    141.77215,     +35.21463,     141.77673,      +35.21834,  1073421.25,  3891675.94,  5048400.34,      51.536800,       -0.707629,   98917.91,  154115.88,   15543.12,            15526.49,    58.47,  67655.95,           64514.06,     -7.07,    -10.54,          16.99,  +1.24,  +0.30
  7,     UK002W,       1,  0.282316, 2459486.686468368862, 142.08847,  35.00491,               80.31674,  39.04375,        80.30378,       39.04427,    142.08847,     +35.00491,     142.09729,      +35.01281,  1073880.03,  3890420.76,  5046922.54,      51.536204,       -0.718814,   97083.96,  152328.31,   17535.57,            17518.94,  -589.29,  49460.09,           63500.58,    -14.92,    -22.25,          36.27,  +4.44,  +3.53

Notes
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- 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.