Orbital Analysis for matched events on 20210929_233843.275_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 73.71° Bg -7.13° Vg 67.56km/s
mass 0.01368g, abs. mag 0.0
Path Details
------------
start 0.47° 51.04° 113.25km
end   0.12° 51.06° 101.61km

Orbit Details
-------------
Semimajor axis -26.30A.U., eccentricity 1.02, inclination 165.29°, Period 1000000000.00Y, LA Sun 186.74°, 

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: 2459487.485223098192
Time: 2021-09-29 23:38:43.275684 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002C
 Convergence angle = 30.11173 deg
 R.A. =  73.27073  Dec = +15.47902 deg
Intersection 2 - Stations: UK000F and UK003D
 Convergence angle = 5.81318 deg
 R.A. =  77.06602  Dec = +16.07868 deg
Intersection 3 - Stations: UK002C and UK003D
 Convergence angle = 24.31330 deg
 R.A. =  72.38374  Dec = +15.79254 deg

Best intersection: Stations UK000F and UK002C with Qconv = 30.11 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4079657.75 +/- 448.35 m
 Y =    291602.09 +/- 877.62 m
 Z =   5024079.91 +/- 281.50 m
 Vx =    19035.23 +/- 1102.89 m/s
 Vy =    63083.09 +/- 1600.87 m/s
 Vz =    18596.23 +/- 534.26 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000F: 0.005050 s
    UK002C: 0.000000 s
    UK003D: 0.005981 s

Reference point on the trajectory:
  Time: 2021-09-29 23:38:43.275684 UTC
  Lon     = ++0.461766 +/- 0.0118 deg
  Lat     = +51.036233 +/- 0.0020 deg
  Lat geo = +50.851222 +/- 0.0020 deg
  Ht      =  113131.35 +/- 535.27 m

  JD dynamic   = 2459487.486023839097 
  LST apparent = 4.0883828745 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  73.20889 +/- 0.6248 deg
  Dec       = +15.76017 +/- 0.1101 deg
  Azimuth   =  96.08784 +/- 0.5391 deg
  Elevation = +25.26981 +/- 0.3850 deg
  Vavg      =  67.25356 +/- 1.8008 km/s
  Vinit     =  68.46631 +/- 1.5007 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  73.30093 +/- 0.6248 deg
  Dec       = +15.69706 +/- 0.1101 deg
  Azimuth   =  96.05871 +/- 0.5391 deg
  Elevation = +25.16427 +/- 0.3850 deg
  Vavg      =  67.52187 +/- 1.8008 km/s
  Vinit     =  68.73463 +/- 1.5007 km/s
Radiant (geocentric, J2000):
  R.A.   =  73.22504 +/- 0.6383 deg
  Dec    = +15.35943 +/- 0.1055 deg
  Vg     =  67.56171 +/- 1.5193 km/s
  Vinf   =  68.46631 +/- 1.5007 km/s
  Zc     =  64.71071 +/- 0.3867 deg
  Zg     =  65.19349 +/- 0.4051 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  73.71133 +/- 0.6169 deg
  Bg     =  -7.13480 +/- 0.1224 deg
  Vh     =  42.48745 +/- 1.6353 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  56.85241 +/- 0.5216 deg
  Bh     = -11.38810 +/- 0.2883 deg
  Vh_x   = -22.77465 +/- 1.1324 km/s
  Vh_y   = -34.87289 +/- 1.2512 km/s
  Vh_z   =   8.38931 +/- 0.2034 km/s
Orbit:
  La Sun = 186.743828 +/- 0.0000 deg
  a      = -26.295826 +/- 6.0187 AU
  e      =   1.023203 +/- 0.1073
  i      = 165.289794 +/- 0.3037 deg
  peri   =  76.871922 +/- 2.8059 deg
  node   =   6.748590 +/- 0.0001 deg
  Pi     =  83.620511 +/- 2.8058 deg
  q      =   0.610135 +/- 0.0116 AU
  f      = 283.132307 +/- 2.8059 deg
  M      =        nan +/- nan deg
  Q      = -53.201787 +/- 12.0331 AU
  n      =   0.007309 +/- 0.1431 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.140039 +/- 0.9055
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.018563
 a2 = 25.094748

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 6.063e-06 s
  Stddev    = 2.46e-03 s

Begin point on the trajectory:
  Lon =     0.465361 +/- 0.0096 deg
  Lat =    51.035991 +/- 0.0019 deg
  Ht  = 113253.20 +/- 469.90 m
End point on the trajectory:
  Lon =     0.118108 +/- 0.0085 deg
  Lat =    51.058718 +/- 0.0020 deg
  Ht  = 101613.18 +/- 431.04 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   109688.52,   101893.68,          0.026893,     70.26,     42.76,              28.65, 0.2298,    True,    True, {"ff_name": "FF_UK000F_20210929_233835_525_0477696.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,  79.183395,   0.719032,   113253.20,   101613.18,          0.026239,     87.90,      7.20,              11.14, 0.0373,    True,    True, {"ff_name": "FF_UK002C_20210929_233839_614_0473600.fits"}
    UK003D,   False,    -0.649870,    51.914450,   87.00,   0.004263,  29.767018,   109821.65,   101705.65,          0.009746,     24.11,     11.58,              40.26, 0.4177,    True,    True, {"ff_name": "FF_UK003D_20210929_233840_112_0481536.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,     UK000F,       0,  0.108367, 2459487.485224286094,  42.58424,   8.34304,              128.26760,  35.46431,       128.26420,       35.47684,     42.58424,      +8.34304,      42.58091,       +8.35533,  4077412.86,   284162.50,  5021886.79,      51.043031,       +0.359558,  109688.52,  185815.96,       0.00,             8074.45,   630.08,      0.00,           66510.48,    -21.63,    -35.57,          46.21,  +4.96,  +3.61
  1,     UK000F,       0,  0.148363, 2459487.485224748962,  42.31887,   8.26312,              128.59696,  35.52289,       128.59322,       35.53690,     42.31887,      +8.26312,      42.31525,       +8.27684,  4076938.22,   282589.54,  5021423.10,      51.044458,       +0.337854,  108961.62,  184344.52,    1707.18,             9781.63,  -401.12,  42683.80,           66510.48,    -23.97,    -39.41,          51.61,  +4.27,  +2.94
  2,     UK000F,       0,  0.188355, 2459487.485225211829,  41.79042,   8.10267,              129.25506,  35.63635,       129.25078,       35.65286,     41.79042,      +8.10267,      41.78620,       +8.11880,  4076009.80,   279512.72,  5020516.09,      51.047239,       +0.295541,  107540.83,  181485.72,    5046.56,            13121.01,   200.16,  83501.24,           66510.48,    -27.76,    -45.65,          60.73,  +3.14,  +1.85
  3,     UK000F,       0,  0.228355, 2459487.485225674696,  41.35102,   7.96308,              129.80734,  35.72315,       129.80129,       35.74716,     41.35102,      +7.96308,      41.34469,       +7.98652,  4075257.08,   277018.19,  5019780.73,      51.049483,       +0.261188,  106389.93,  179179.06,    7753.97,            15828.42,   168.91,  67685.11,           66510.48,    -39.84,    -65.49,          88.24,  +2.06,  +0.79
  4,     UK000F,       0,  0.268359, 2459487.485226138029,  40.92532,   7.82127,              130.34743,  35.79956,       130.33836,       35.83661,     40.92532,      +7.82127,      40.91520,       +7.85736,  4074542.73,   274650.84,  5019082.86,      51.051604,       +0.228562,  105298.54,  177000.42,   10323.34,            18397.79,    -0.65,  64227.89,           66737.66,    -60.67,    -99.65,         135.96,  +1.67,  +0.43
  5,     UK000F,       0,  0.308347, 2459487.485226600431,  40.42921,   7.67605,              130.96659,  35.90390,       130.95884,       35.93656,     40.42921,      +7.67605,      40.42056,       +7.70783,  4073740.08,   271990.85,  5018298.72,      51.053978,       +0.191909,  104073.23,  174566.40,   13210.32,            21284.77,   148.51,  72196.24,           67582.16,    -52.68,    -86.57,         119.74,  +1.83,  +0.62
  6,     UK000F,       0,  0.348315, 2459487.485227063298,  40.03530,   7.58729,              131.44406,  36.00841,       131.44312,       36.01249,     40.03530,      +7.58729,      40.03550,       +7.59125,  4073131.09,   269972.65,  5017703.78,      51.055772,       +0.164047,  103144.22,  172727.48,   15400.74,            23475.20,  -397.53,  54804.38,           66515.79,     -6.49,    -10.69,          14.94,  +1.93,  +0.74
  7,     UK000F,       0,  0.388343, 2459487.485227526631,  39.51682,   7.38709,              132.12208,  36.06974,       132.11234,       36.11354,     39.51682,      +7.38709,      39.50506,       +7.42957,  4072310.69,   267253.80,  5016902.29,      51.058179,       +0.126554,  101893.68,  170266.14,   18351.60,            26426.05,  -187.24,  73719.87,           66672.19,    -68.78,   -112.96,         160.21,  +3.17,  +2.01
  0,     UK002C,       0,  0.000000, 2459487.485223098192,  61.31111,  19.30301,              101.66103,  33.87932,       101.61958,       33.90263,     61.31111,     +19.30301,      61.32286,      +19.34305,  4079737.10,   291865.07,  5024157.43,      51.035991,       +0.465361,  113253.20,  199041.26,       0.00,              285.43,   260.56,      0.00,           71357.03,    -11.86,   -143.86,         149.59,  +3.53,  +2.04
  1,     UK002C,       0,  0.039884, 2459487.485223559663,  61.15936,  19.35449,              101.75227,  34.01133,       101.72126,       34.02874,     61.15936,     +19.35449,      61.16831,      +19.38441,  4079043.75,   289567.31,  5023480.08,      51.038100,       +0.433776,  112188.91,  196592.09,    2493.84,             2208.42,  -547.16,  62527.45,           71357.03,     -8.65,   -106.16,         111.76,  +3.56,  +2.09
  2,     UK002C,       0,  0.079748, 2459487.485224021133,  60.94996,  19.39288,              101.90391,  34.16857,       101.85634,       34.19537,     60.94996,     +19.39288,      60.96366,      +19.43879,  4078149.65,   286604.22,  5022606.59,      51.040809,       +0.393073,  110817.59,  193438.57,    5709.79,             5424.36,   -60.56,  80672.82,           71357.03,    -13.25,   -160.21,         171.41,  +3.01,  +1.58
  3,     UK002C,       0,  0.119612, 2459487.485224482603,  60.77643,  19.45440,              102.00651,  34.32146,       101.97387,       34.33981,     60.77643,     +19.45440,      60.78609,      +19.48584,  4077398.53,   284115.02,  5021872.80,      51.043074,       +0.358837,  109666.57,  190789.76,    8411.41,             8125.98,   -88.28,  67770.94,           71357.03,     -8.82,   -108.24,         117.41,  +2.54,  +1.14
  4,     UK002C,       0,  0.159484, 2459487.485224944074,  60.60157,  19.50732,              102.11715,  34.46857,       102.09103,       34.48324,     60.60157,     +19.50732,      60.60955,      +19.53244,  4076672.55,   281709.10,  5021163.56,      51.045255,       +0.325726,  108554.91,  188230.96,   11022.64,            10737.21,  -206.94,  65490.43,           70135.62,     -6.91,    -85.31,          93.79,  +2.52,  +1.15
  5,     UK002C,       0,  0.199328, 2459487.485225405078,  60.40446,  19.58358,              102.22898,  34.64700,       102.22660,       34.64834,     60.40446,     +19.58358,      60.40596,      +19.58587,  4075858.67,   279011.90,  5020368.45,      51.047690,       +0.288609,  107309.69,  185365.61,   13950.01,            13664.58,    -7.55,  73470.65,           70262.76,     -0.61,     -7.67,           8.56,  +2.22,  +0.88
  6,     UK002C,       0,  0.239192, 2459487.485225866549,  60.20658,  19.63114,              102.36428,  34.80398,       102.35791,       34.80755,     60.20658,     +19.63114,      60.20935,      +19.63725,  4075096.89,   276487.32,  5019624.23,      51.049960,       +0.253841,  106145.12,  182685.12,   16690.02,            16404.59,     3.12,  68733.97,           70144.39,     -1.60,    -20.13,          22.80,  +2.45,  +1.14
  7,     UK002C,       0,  0.279036, 2459487.485226327553,  59.99413,  19.69393,              102.50055,  34.98139,       102.50157,       34.98082,     59.99413,     +19.69393,      59.99501,      +19.69295,  4074291.16,   273817.12,  5018837.09,      51.052350,       +0.217060,  104914.39,  179852.85,   19588.08,            19302.66,   173.22,  72735.35,           70310.86,      0.25,      3.17,           3.65,  +2.22,  +0.95
  8,     UK002C,       0,  0.318932, 2459487.485226789489,  59.81509,  19.71006,              102.64469,  35.10282,       102.61634,       35.11880,     59.81509,     +19.71006,      59.82421,      +19.73725,  4073668.89,   271754.92,  5018229.17,      51.054188,       +0.188604,  103964.58,  177665.03,   21826.26,            21540.83,  -320.13,  56100.34,           69440.35,     -7.04,    -87.05,         101.39,  +2.18,  +0.93
  9,     UK002C,       0,  0.358752, 2459487.485227250494,  59.58228,  19.79608,              102.78094,  35.31022,       102.77801,       35.31187,     59.58228,     +19.79608,      59.58459,      +19.79889,  4072818.75,   268937.54,  5017398.64,      51.056690,       +0.149771,  102668.01,  174681.96,   24884.06,            24598.63,    11.33,  76790.43,           69397.72,     -0.70,     -8.84,          10.48,  +2.15,  +0.94
 10,     UK002C,       0,  0.398604, 2459487.485227711499,  59.38252,  19.85544,              102.90952,  35.47710,       102.91458,       35.47426,     59.38252,     +19.85544,      59.38281,      +19.85061,  4072126.57,   266643.65,  5016722.42,      51.058718,       +0.118108,  101613.18,  172253.64,   27373.70,            27088.27,  -227.54,  62472.23,           69059.77,      1.18,     15.00,          18.02,  +2.75,  +1.57
  0,     UK003D,       0,  0.119036, 2459487.485224393196,  29.59577,   8.78502,              143.62740,  41.69743,       143.62762,       41.69626,     29.59577,      +8.78502,      29.59652,       +8.78386,  4077499.77,   284450.53,  5021971.70,      51.042769,       +0.363462,  109821.65,  163245.71,       0.00,             7761.84,  -412.97,      0.00,           69383.38,      1.46,      3.05,           4.27,  +4.79,  +3.73
  1,     UK003D,       0,  0.159544, 2459487.485224861652,  28.70712,   8.58963,              144.81958,  41.83597,       144.82288,       41.81661,     28.70712,      +8.58963,      28.71247,       +8.57068,  4076478.10,   281064.68,  5020973.59,      51.045838,       +0.316929,  108257.32,  160577.32,    3674.78,            11436.62,   488.37,  90717.35,           69383.38,     23.66,     49.30,          70.25,  +2.20,  +1.17
  2,     UK003D,       0,  0.199880, 2459487.485225328710,  28.14721,   8.44009,              145.58591,  41.89332,       145.58686,       41.88729,     28.14721,      +8.44009,      28.14949,       +8.43420,  4075845.65,   278968.73,  5020355.73,      51.047729,       +0.288045,  107289.77,  158944.00,    5949.58,            13711.42,     1.52,  56396.39,           69383.38,      7.29,     15.18,          21.85,  +2.11,  +1.10
  3,     UK003D,       0,  0.240272, 2459487.485225796234,  27.47997,   8.28234,              146.49160,  41.97537,       146.49321,       41.96419,     27.47997,      +8.28234,      27.48369,       +8.27144,  4075112.79,   276540.02,  5019639.77,      51.049912,       +0.254589,  106169.41,  157072.46,    8585.56,            16347.40,  -128.00,  65259.79,           69383.38,     13.34,     27.78,          40.47,  +1.95,  +0.97
  4,     UK003D,       0,  0.280700, 2459487.485226264223,  26.77499,   8.09072,              147.46240,  42.03212,       147.46162,       42.03825,     26.77499,      +8.09072,      26.77461,       +8.09669,  4074350.10,   274012.47,  5018894.67,      51.052175,       +0.219762,  105004.38,  155148.90,   11328.79,            19090.63,  -152.71,  67854.88,           68232.09,     -7.22,    -15.03,          22.16,  +1.27,  +0.32
  5,     UK003D,       0,  0.321152, 2459487.485226732213,  26.00411,   7.90714,              148.51477,  42.11090,       148.51495,       42.10931,     26.00411,      +7.90714,      26.00582,       +7.90560,  4073542.91,   271337.41,  5018106.09,      51.054560,       +0.182895,  103772.38,  153140.95,   14232.13,            21993.97,   -18.97,  71772.45,           68409.53,      1.84,      3.83,           5.73,  +1.42,  +0.49
  6,     UK003D,       0,  0.361568, 2459487.485227200203,  25.29766,   7.72878,              149.48591,  42.16639,       149.48592,       42.16629,     25.29766,      +7.72878,      25.29917,       +7.72868,  4072818.84,   268937.84,  5017398.73,      51.056689,       +0.149793,  102668.14,  151364.40,   16836.47,            24598.31,  -181.77,  64438.21,           68047.32,      0.12,      0.24,           0.37,  +1.32,  +0.42
  7,     UK003D,       0,  0.401952, 2459487.485227667727,  24.67085,   7.55724,              150.35466,  42.19719,       150.35357,       42.21036,     24.67085,      +7.55724,      24.66918,       +7.57002,  4072187.29,   266844.86,  5016781.74,      51.058540,       +0.120887,  101705.65,  149834.33,   19108.06,            26869.90,  -675.13,  56249.74,           66914.11,    -14.95,    -31.10,          47.50,  +2.10,  +1.22

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.