Orbital Analysis for matched events on 20211103_020021.342_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 98.42° Bg -11.81° Vg 61.18km/s
mass 0.01166g, abs. mag 0.4
best visual mag 0.9
Path Details
------------
start 1.61° 52.36° 109.68km
end   1.50° 52.46° 96.40km

Orbit Details
-------------
Semimajor axis 5.52A.U., eccentricity 0.94, inclination 148.80°, Period 12.98Y, LA Sun 220.57°, last Perihelion 2008-12-16

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: 2459521.583580349572
Time: 2021-11-03 02:00:21.347192 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK0032
 Convergence angle = 16.46078 deg
 R.A. =  99.65464  Dec = +12.20498 deg
Intersection 2 - Stations: UK002F and UK003W
 Convergence angle = 26.57915 deg
 R.A. =  98.69756  Dec = +11.68860 deg
Intersection 3 - Stations: UK0032 and UK003W
 Convergence angle = 43.03807 deg
 R.A. =  98.95433  Dec = +12.05458 deg

Best intersection: Stations UK0032 and UK003W with Qconv = 43.04 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1077078.87 +/- 81.37 m
 Y =   3823009.82 +/- 33.85 m
 Z =   5114427.04 +/- 93.51 m
 Vx =    -9074.14 +/- 357.56 m/s
 Vy =    60203.33 +/- 795.56 m/s
 Vz =    12634.42 +/- 637.90 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.566235e+03, -1.918060e+03, -7.991336e+03, +4.305024e+04, -3.616257e+04, -4.600102e+04
-1.918060e+03, +1.352630e+03, +1.920000e+03, -1.418498e+04, +1.356205e+04, +1.629521e+04
-7.991336e+03, +1.920000e+03, +1.015562e+04, -4.617522e+04, +3.928959e+04, +5.813694e+04
+4.305024e+04, -1.418498e+04, -4.617522e+04, +3.356888e+05, -2.605293e+05, -3.715061e+05
-3.616257e+04, +1.356205e+04, +3.928959e+04, -2.605293e+05, +2.427377e+05, +3.007867e+05
-4.600102e+04, +1.629521e+04, +5.813694e+04, -3.715061e+05, +3.007867e+05, +4.631751e+05

Timing offsets (from input data):
    UK002F: 0.000103 s
    UK002K: 0.000000 s
    UK0032: 0.000985 s
    UK003W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:00:21.347192 UTC
  Lon     = ++1.621612 +/- 0.0012 deg
  Lat     = +52.350359 +/- 0.0006 deg
  Lat geo = +52.167263 +/- 0.0006 deg
  Ht      =  110741.65 +/- 74.12 m

  JD dynamic   = 2459521.584381148219 
  LST apparent = 74.2655695226 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  98.57138 +/- 0.4449 deg
  Dec       = +11.72354 +/- 0.4793 deg
  Azimuth   = 145.31740 +/- 0.8034 deg
  Elevation = +44.90658 +/- 0.3110 deg
  Vavg      =  60.62090 +/- 0.7717 km/s
  Vinit     =  62.18046 +/- 0.6375 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  98.81930 +/- 0.4449 deg
  Dec       = +11.70116 +/- 0.4793 deg
  Azimuth   = 145.00870 +/- 0.8034 deg
  Elevation = +44.79916 +/- 0.3110 deg
  Vavg      =  60.73819 +/- 0.7717 km/s
  Vinit     =  62.29775 +/- 0.6375 km/s
Radiant (geocentric, J2000):
  R.A.   =  98.40714 +/- 0.4436 deg
  Dec    = +11.38351 +/- 0.4903 deg
  Vg     =  61.18254 +/- 0.6476 km/s
  Vinf   =  62.18046 +/- 0.6375 km/s
  Zc     =  44.94295 +/- 0.3097 deg
  Zg     =  45.32637 +/- 0.3189 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  98.42005 +/- 0.4139 deg
  Bg     = -11.80881 +/- 0.5140 deg
  Vh     =  40.34539 +/- 0.3738 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  73.18790 +/- 1.0179 deg
  Bh     = -18.07952 +/- 0.7689 deg
  Vh_x   = -11.09311 +/- 0.5422 km/s
  Vh_y   = -36.71412 +/- 0.6654 km/s
  Vh_z   =  12.52065 +/- 0.4327 km/s
Orbit:
  La Sun = 220.570008 +/- -0.0000 deg
  a      =   5.524503 +/- 2.2080 AU
  e      =   0.939511 +/- 0.0104
  i      = 148.799696 +/- 1.7722 deg
  peri   = 111.655826 +/- 2.1643 deg
  node   =  40.569960 +/- 0.0001 deg
  Pi     = 152.225787 +/- 2.1644 deg
  q      =   0.334169 +/- 0.0140 AU
  f      = 248.342544 +/- 2.1642 deg
  M      = 357.068083 +/- 0.7199 deg
  Q      =  10.714836 +/- 4.4027 AU
  n      =   0.075904 +/- 0.0186 deg/day
  T      =  12.984955 +/- 9.6793 years
  Last perihelion JD = 2454817.373634 (2008-12-16 20:58:01.965677) +/- 3535.5324 days
  Tj     =   0.338322 +/- 0.2028
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.316143e-04, +1.605335e-04, -4.228853e+01, -1.179240e-06, -2.576221e-02, +1.917432e-02
q   , +1.605335e-04, +2.235731e-04, -5.407967e+01, -1.618447e-06, -3.483027e-02, +2.634904e-02
Tp  , -4.228853e+01, -5.407967e+01, +1.440877e+07, +4.175693e-01, +8.575063e+03, -6.750395e+03
node, -1.179240e-06, -1.618447e-06, +4.175693e-01, +1.352198e-08, +2.525789e-04, -2.189929e-04
peri, -2.576221e-02, -3.483027e-02, +8.575063e+03, +2.525789e-04, +5.461033e+00, -4.111766e+00
i   , +1.917432e-02, +2.634904e-02, -6.750395e+03, -2.189929e-04, -4.111766e+00, +3.554185e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 74.811272

Mean time residuals from time vs. length:
  Station with reference time: UK003W
  Avg. res. = 1.581e-06 s
  Stddev    = 1.26e-03 s

Begin point on the trajectory:
  Lon =     1.612900 +/- 0.0025 deg
  Lat =    52.358067 +/- 0.0008 deg
  Ht  = 109684.19 +/- 229.84 m
End point on the trajectory:
  Lon =     1.501467 +/- 0.0034 deg
  Lat =    52.455180 +/- 0.0009 deg
  Ht  = 96396.99 +/- 308.54 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105250.01,    98364.09,          0.017331,     16.04,     67.21,              54.47, 0.6623,    True,    True, {"ff_name": "FF_UK002F_20211103_020015_168_0771328.fits"}
    UK002K,    True,    -0.382860,    53.537770,   34.00, 101.921466,   0.000000,   107485.57,    96530.60,          0.041686,       nan,       nan,              15.66, 0.0000,    True,    True, {"ff_name": "FF_UK002K_20211103_020022_136_0804352.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   109684.19,    96396.99,          0.029695,     40.37,     72.77,              16.01, 0.0760,    True,    True, {"ff_name": "FF_UK0032_20211103_020014_932_0805632.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,  50.489828,   0.000001,   108564.83,    97823.62,          0.010417,      7.73,     31.58,              69.49, 0.8772,    True,    True, {"ff_name": "FF_UK003W_20211103_020022_253_0802304.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,     UK002F,       0,  0.114292, 2459521.583581672050, 157.14784,  30.55719,               72.89326,  26.02861,        72.90049,       26.02013,    157.14784,     +30.55719,     157.14957,      +30.54656,  1078214.55,  3815475.05,  5112845.77,      52.390421,       +1.575833,  105250.01,  232096.20,       0.00,             7782.22,   -74.75,      0.00,           61496.79,     42.09,     10.06,          38.46,  +3.70,  +1.87
  1,     UK002F,       0,  0.154688, 2459521.583582139574, 157.86527,  30.61440,               72.34937,  25.64770,        72.35342,       25.64297,    157.86527,     +30.61440,     157.86657,      +30.60845,  1078648.26,  3812597.58,  5112241.90,      52.405734,       +1.558313,  103154.01,  230486.27,    2971.97,            10754.19,   385.38,  73570.92,           61496.79,     23.40,      5.60,          21.53,  +2.69,  +0.88
  2,     UK002F,       0,  0.194964, 2459521.583582605701, 158.35383,  30.64251,               71.98779,  25.38115,        71.98356,       25.38607,    158.35383,     +30.64251,     158.35399,      +30.64872,  1078939.42,  3810665.79,  5111836.49,      52.416018,       +1.546484,  101747.21,  229417.52,    4967.20,            12749.42,  -123.77,  49538.96,           61496.79,    -24.27,     -5.81,          22.43,  +2.49,  +0.69
  3,     UK002F,       0,  0.235292, 2459521.583583072759, 159.00057,  30.73511,               71.46817,  25.06983,        71.49272,       25.04141,    159.00057,     +30.73511,     159.00510,      +30.69915,  1079323.83,  3808115.42,  5111301.26,      52.429600,       +1.530904,   99890.42,  228028.92,    7601.33,            15383.55,     2.74,  65317.55,           61496.79,    139.71,     33.32,         129.92,  +2.68,  +0.89
  4,     UK002F,       0,  0.275612, 2459521.583583539352, 159.54602,  30.73560,               71.08885,  24.75131,        71.08661,       24.75388,    159.54602,     +30.73560,     159.54687,      +30.73887,  1079639.90,  3806018.43,  5110861.18,      52.440773,       +1.518050,   98364.09,  226902.03,    9767.18,            17549.40,  -338.52,  53716.60,           59924.64,    -12.63,     -3.02,          11.80,  +4.39,  +2.61
  0,     UK002K,       1,  0.071714, 2459521.583581179380, 111.72762,   1.95397,              133.37707,  29.07453,       133.46857,       29.03380,    111.72762,      +1.95397,     111.67334,       +1.88269,  1077752.12,  3818543.09,  5113489.64,      52.374103,       +1.594485,  107485.57,  215749.33,       0.00,             4613.42,  -596.07,      0.00,           65462.08,     70.51,    330.54,         323.12,  +3.41,  +1.74
  1,     UK002K,       1,  0.111926, 2459521.583581645042, 111.87412,   1.75338,              133.32530,  28.83035,       133.34795,       28.82037,    111.87412,      +1.75338,     111.86101,       +1.73580,  1078215.62,  3815467.96,  5112844.29,      52.390459,       +1.575800,  105244.85,  212695.60,    3176.12,             7789.54,    79.65,  78984.39,           65462.08,     16.86,     80.71,          79.96,  +2.06,  +0.42
  2,     UK002K,       1,  0.152074, 2459521.583582109772, 112.03472,   1.65246,              133.21009,  28.66988,       133.25301,       28.65093,    112.03472,      +1.65246,     112.00961,       +1.61906,  1078574.72,  3813085.49,  5112344.30,      52.403137,       +1.561268,  103509.36,  210330.70,    5636.84,            10250.25,    43.94,  61291.09,           65462.08,     31.81,    151.49,         151.80,  +2.52,  +0.91
  3,     UK002K,       1,  0.192222, 2459521.583582574502, 112.17229,   1.53469,              133.12713,  28.50413,       133.16247,       28.48855,    112.17229,      +1.53469,     112.15186,       +1.50718,  1078911.44,  3810851.43,  5111875.45,      52.415030,       +1.547616,  101882.39,  208114.79,    7944.26,            12557.68,  -145.05,  57473.07,           65462.08,     25.87,    123.54,         125.10,  +1.84,  +0.25
  4,     UK002K,       1,  0.232406, 2459521.583583039232, 112.32698,   1.38109,              133.04457,  28.29862,       133.05427,       28.29436,    112.32698,      +1.38109,     112.32211,       +1.37354,  1079304.40,  3808244.30,  5111328.31,      52.428914,       +1.531695,   99984.24,  205532.72,   10637.01,            15250.43,    49.04,  67010.46,           64834.08,      6.96,     33.51,          34.35,  +2.01,  +0.45
  5,     UK002K,       1,  0.272558, 2459521.583583503962, 112.46984,   1.26031,              132.95820,  28.12776,       132.96133,       28.12639,    112.46984,      +1.26031,     112.46909,       +1.25787,  1079636.75,  3806039.32,  5110865.57,      52.440661,       +1.518189,   98379.29,  203350.15,   12914.41,            17527.83,  -170.23,  56719.51,           63495.92,      2.22,     10.71,          11.10,  +2.24,  +0.70
  6,     UK002K,       1,  0.312734, 2459521.583583969157, 112.65550,   1.13964,              132.82843,  27.93830,       132.85172,       27.92807,    112.65550,      +1.13964,     112.64275,       +1.12146,  1080019.67,  3803498.77,  5110332.40,      52.454202,       +1.502636,   96530.60,  200839.27,   15538.40,            20151.81,   -44.41,  65312.17,           63212.57,     16.43,     78.86,          82.73,  +2.30,  +0.79
  0,     UK0032,       0,  0.005407, 2459521.583580407314, 115.81395,  15.10365,              121.51180,  39.18332,       121.52867,       39.15222,    115.81395,     +15.10365,     115.81962,      +15.07036,  1077297.48,  3821559.43,  5114122.66,      52.358067,       +1.612900,  109684.19,  171551.09,       0.00,             1498.03,   411.55,      0.00,           59524.20,     88.44,     48.83,         121.46,  +4.78,  +3.61
  1,     UK0032,       0,  0.045527, 2459521.583580871578, 116.01124,  15.11918,              121.29326,  39.09508,       121.30213,       39.07887,    116.01124,     +15.11918,     116.01434,      +15.10179,  1077581.46,  3819675.32,  5113727.25,      52.368083,       +1.601407,  108310.77,  169684.67,    1945.98,             3444.01,  -137.15,  48503.99,           59524.20,     45.65,     25.25,          63.41,  +2.99,  +1.84
  2,     UK0032,       0,  0.085671, 2459521.583581336308, 116.27851,  15.18477,              120.96727,  39.01281,       120.98770,       38.97564,    116.27851,     +15.18477,     116.28555,      +15.14487,  1077965.31,  3817128.66,  5113192.81,      52.381625,       +1.585914,  106454.84,  167167.58,    4576.28,             6074.30,    -3.03,  65521.59,           59524.20,    103.27,     56.95,         145.51,  +2.81,  +1.69
  3,     UK0032,       0,  0.125839, 2459521.583581801504, 116.54937,  15.20135,              120.67203,  38.88677,       120.67947,       38.87339,    116.54937,     +15.20135,     116.55227,      +15.18695,  1078331.89,  3814696.56,  5112682.40,      52.394563,       +1.571094,  104682.88,  164766.82,    7088.25,             8586.28,    11.28,  62536.69,           59524.20,     36.69,     20.30,          52.49,  +2.29,  +1.21
  4,     UK0032,       0,  0.166007, 2459521.583582266234, 116.81764,  15.21844,              120.38002,  38.76206,       120.37484,       38.77129,    116.81764,     +15.21844,     116.81671,      +15.22839,  1078685.10,  3812353.14,  5112190.60,      52.407035,       +1.556793,  102975.98,  162456.64,    9508.63,            11006.65,   -66.01,  60256.33,           60171.91,    -24.98,    -13.86,          36.27,  +1.81,  +0.76
  5,     UK0032,       0,  0.206159, 2459521.583582730964, 117.10330,  15.28750,              120.03483,  38.67159,       120.04223,       38.65849,    117.10330,     +15.28750,     117.10646,      +15.27335,  1079060.53,  3809862.31,  5111667.87,      52.420296,       +1.541585,  101162.19,  160005.34,   12081.26,            13579.29,     9.96,  64072.35,           60914.10,     34.99,     19.36,          51.55,  +1.91,  +0.89
  6,     UK0032,       0,  0.246355, 2459521.583583196159, 117.40806,  15.30372,              119.70732,  38.52613,       119.69899,       38.54071,    117.40806,     +15.30372,     117.40657,      +15.31950,  1079437.46,  3807361.54,  5111143.05,      52.433616,       +1.526300,   99341.66,  157548.33,   14664.16,            16162.19,    93.45,  64257.65,           61537.80,    -38.38,    -21.31,          57.47,  +1.87,  +0.88
  7,     UK0032,       0,  0.286507, 2459521.583583660889, 117.71045,  15.38875,              119.33555,  38.43911,       119.34731,       38.41859,    117.71045,     +15.38875,     117.71520,      +15.36653,  1079813.06,  3804869.54,  5110620.08,      52.446895,       +1.511051,   97528.03,  155104.15,   17237.99,            18736.02,   170.61,  64102.19,           62011.23,     53.29,     29.44,          80.97,  +2.24,  +1.29
  8,     UK0032,       0,  0.326671, 2459521.583584125619, 117.91939,  15.33756,              119.15564,  38.28642,       119.12397,       38.34080,    117.91939,     +15.33756,     117.91160,      +15.39669,  1080047.34,  3803315.18,  5110293.87,      52.455180,       +1.501467,   96396.99,  153578.89,   18843.41,            20341.43,  -721.39,  39971.44,           60762.63,   -139.93,    -78.10,         215.23,  +3.91,  +2.98
  0,     UK003W,       1,  0.000000, 2459521.583580349572, 171.01015,  56.01796,               43.67747,  36.76769,        43.71771,       36.73234,    171.01015,     +56.01796,     171.02207,      +55.97059,  1077081.51,  3822992.30,  5114423.36,      52.350452,       +1.621528,  110728.87,  182280.24,       0.00,               18.09,  -732.18,      0.00,           67646.09,    147.82,    -36.27,         172.23,  +6.18,  +4.88
  1,     UK003W,       0,  0.040660, 2459521.583580820356, 172.64540,  56.08646,               42.88188,  36.11276,        42.87893,       36.11533,    172.64540,     +56.08646,     172.64484,      +56.08994,  1077528.93,  3820023.88,  5113800.40,      52.366229,       +1.603521,  108564.83,  181273.95,    3065.91,             3084.01,  -194.52,  75403.70,           67646.09,    -10.78,      2.63,          12.62,  +4.52,  +3.23
  2,     UK003W,       0,  0.081216, 2459521.583581289742, 174.21255,  56.19857,               42.07230,  35.52632,        42.08402,       35.51621,    174.21255,     +56.19857,     174.21522,      +56.18473,  1077954.95,  3817197.40,  5113207.23,      52.381259,       +1.586345,  106504.93,  180358.87,    5985.21,             6003.30,   202.98,  71981.82,           67646.09,     42.50,    -10.41,          50.04,  +2.14,  +0.86
  3,     UK003W,       0,  0.121688, 2459521.583581758197, 175.40838,  56.23103,               41.50114,  35.05104,        41.49028,       35.06035,    175.40838,     +56.23103,     175.40713,      +56.24387,  1078274.14,  3815079.72,  5112762.81,      52.392525,       +1.573419,  104962.00,  179699.79,    8172.44,             8190.54,  -126.35,  54043.18,           67646.09,    -39.22,      9.58,          46.34,  +1.54,  +0.27
  4,     UK003W,       0,  0.162244, 2459521.583582227584, 176.97114,  56.30500,               40.72226,  34.46023,        40.72394,       34.45880,    176.97114,     +56.30500,     176.97201,      +56.30302,  1078688.58,  3812330.03,  5112185.75,      52.407158,       +1.556667,  102959.15,  178882.36,   11012.43,            11030.53,   191.85,  70026.35,           66908.49,      6.03,     -1.48,           7.16,  +1.05,  -0.21
  5,     UK003W,       0,  0.202708, 2459521.583582695574, 178.24628,  56.34468,               40.10201,  33.97196,        40.10841,       33.96655,    178.24628,     +56.34468,     178.24760,      +56.33711,  1079022.81,  3810112.58,  5111720.39,      52.418964,       +1.543110,  101344.41,  178252.29,   13302.70,            13320.80,   -33.95,  56600.18,           65228.36,     22.90,     -5.61,          27.29,  +0.93,  -0.33
  6,     UK003W,       0,  0.243244, 2459521.583583164960, 179.73562,  56.37632,               39.38619,  33.40020,        39.40013,       33.38850,    179.73562,     +56.37632,     179.73703,      +56.35982,  1079409.65,  3807546.00,  5111181.76,      52.432634,       +1.527427,   99475.93,  177558.24,   15953.58,            15971.67,    96.37,  65395.54,           64645.52,     49.67,    -12.17,          59.40,  +1.07,  -0.18
  7,     UK003W,       0,  0.283744, 2459521.583583633415, 181.06406,  56.37273,               38.77040,  32.87552,        38.77664,       32.87031,    181.06406,     +56.37273,     181.06517,      +56.36534,  1079751.84,  3805275.76,  5110705.33,      52.444730,       +1.513520,   97823.62,  176974.56,   18298.37,            18316.46,   -77.14,  57896.16,           63840.62,     22.17,     -5.43,          26.61,  +1.61,  +0.37

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.