Orbital Analysis for matched events on 20211103_045818.622_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 106.32° Bg 43.15° Vg 54.76km/s
mass 0.02733g, abs. mag -0.4
best visual mag 0.7
Path Details
------------
start -4.75° 50.56° 109.41km
end   -4.76° 50.53° 96.17km

Orbit Details
-------------
Semimajor axis 15.14A.U., eccentricity 0.95, inclination 99.64°, Period 58.89Y, LA Sun 220.69°, last Perihelion 1963-01-12

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: 2459521.707159979735
Time: 2021-11-03 04:58:18.622249 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK001K
 Convergence angle = 39.32595 deg
 R.A. = 118.08611  Dec = +63.64635 deg
Intersection 2 - Stations: UK000H and UK003E
 Convergence angle = 13.36315 deg
 R.A. = 103.23200  Dec = +61.44125 deg
Intersection 3 - Stations: UK001K and UK003E
 Convergence angle = 26.11254 deg
 R.A. = 124.07912  Dec = +66.43435 deg

Best intersection: Stations UK000H and UK001K with Qconv = 39.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1580511.16 +/- 54.05 m
 Y =   3814787.23 +/- 145.33 m
 Z =   4987388.23 +/- 68.16 m
 Vx =   -11687.04 +/- 257.76 m/s
 Vy =    20769.48 +/- 826.87 m/s
 Vz =    50540.54 +/- 528.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.929476e+03, +4.554412e+03, -1.613253e+02, +1.340205e+04, +2.757258e+04, +4.142833e+03
+4.554412e+03, +2.149678e+04, +4.239070e+03, +3.137203e+04, +1.144550e+05, +7.443686e+03
-1.613253e+02, +4.239070e+03, +4.895806e+03, +2.758193e+03, +9.071711e+03, -6.384654e+01
+1.340205e+04, +3.137203e+04, +2.758193e+03, +7.114242e+04, +1.825006e+05, +2.027382e+04
+2.757258e+04, +1.144550e+05, +9.071711e+03, +1.825006e+05, +6.825168e+05, +4.419057e+04
+4.142833e+03, +7.443686e+03, -6.384654e+01, +2.027382e+04, +4.419057e+04, +6.481642e+03

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK001K: -0.000016 s
    UK003E: -0.000055 s

Reference point on the trajectory:
  Time: 2021-11-03 04:58:18.622249 UTC
  Lon     = +-4.749605 +/- 0.0013 deg
  Lat     = +50.563146 +/- 0.0008 deg
  Lat geo = +50.377412 +/- 0.0008 deg
  Ht      =  109448.20 +/- 111.38 m

  JD dynamic   = 2459521.707960720640 
  LST apparent = 112.5048015149 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 119.36656 +/- 1.4267 deg
  Dec       = +64.75426 +/- 0.5636 deg
  Azimuth   =  11.63290 +/- 1.9612 deg
  Elevation = +75.36224 +/- 0.6828 deg
  Vavg      =  54.21320 +/- 0.2894 km/s
  Vinit     =  55.87758 +/- 0.3231 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 120.08417 +/- 1.4267 deg
  Dec       = +64.71917 +/- 0.5636 deg
  Azimuth   =  12.82428 +/- 1.9612 deg
  Elevation = +75.29898 +/- 0.6828 deg
  Vavg      =  54.22936 +/- 0.2894 km/s
  Vinit     =  55.89373 +/- 0.3231 km/s
Radiant (geocentric, J2000):
  R.A.   = 118.96517 +/- 1.4482 deg
  Dec    = +64.95665 +/- 0.5727 deg
  Vg     =  54.76482 +/- 0.3296 km/s
  Vinf   =  55.87758 +/- 0.3231 km/s
  Zc     =  14.81973 +/- 0.6819 deg
  Zg     =  14.96961 +/- 0.6905 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 106.31935 +/- 0.6378 deg
  Bg     = +43.15140 +/- 0.7010 deg
  Vh     =  41.59091 +/- 0.1505 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  61.29148 +/- 0.6783 deg
  Bh     = +64.23249 +/- 1.1413 deg
  Vh_x   =  -8.68500 +/- 0.2681 km/s
  Vh_y   = -15.85788 +/- 0.7858 km/s
  Vh_z   = -37.45534 +/- 0.2756 km/s
Orbit:
  La Sun = 220.693797 +/- -0.0000 deg
  a      =  15.136698 +/- 39.9349 AU
  e      =   0.945625 +/- 0.0119
  i      =  99.637219 +/- 0.7466 deg
  peri   = 229.500408 +/- 1.6853 deg
  node   = 220.695949 +/- 0.0000 deg
  Pi     =  90.196357 +/- 1.6853 deg
  q      =   0.823059 +/- 0.0120 AU
  f      = 310.500499 +/- 1.6853 deg
  M      = 359.487912 +/- 0.1192 deg
  Q      =  29.450337 +/- 79.8790 AU
  n      =   0.016736 +/- 0.0040 deg/day
  T      =  58.890786 +/- 576.4446 years
  Last perihelion JD = 2438042.071213 (1963-01-12 13:42:32.815872) +/- 176390.0140 days
  Tj     =   0.158091 +/- 0.0834
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.373435e-04, -1.159105e-04, -1.629375e+03, +9.315393e-08, +1.547049e-02, +5.765115e-03
q   , -1.159105e-04, +1.419827e-04, +1.473213e+03, -1.378241e-07, -1.989014e-02, -8.544623e-03
Tp  , -1.629375e+03, +1.473213e+03, +2.861271e+10, -1.293021e+00, -1.952428e+05, -7.998353e+04
node, +9.315393e-08, -1.378241e-07, -1.293021e+00, +1.443217e-10, +1.962568e-05, +8.951846e-06
peri, +1.547049e-02, -1.989014e-02, -1.952428e+05, +1.962568e-05, +2.801702e+00, +1.216947e+00
i   , +5.765115e-03, -8.544623e-03, -7.998353e+04, +8.951846e-06, +1.216947e+00, +5.552606e-01

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: UK000H
  Avg. res. = 8.470e-06 s
  Stddev    = 2.91e-03 s

Begin point on the trajectory:
  Lon =    -4.749635 +/- 0.0013 deg
  Lat =    50.563055 +/- 0.0008 deg
  Ht  = 109407.93 +/- 74.51 m
End point on the trajectory:
  Lon =    -4.760396 +/- 0.0007 deg
  Lat =    50.533065 +/- 0.0004 deg
  Ht  = 96171.31 +/- 42.76 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   109407.93,    96563.50,          0.015061,     10.81,     61.78,              67.85, 0.8579,    True,    True, {"ff_name": "FF_UK000H_20211103_045816_526_1055744.fits"}
    UK001K,   False,    -3.557111,    51.483925,   37.50,   0.255075,  23.493804,   109096.41,    96171.31,          0.015649,     24.74,     39.85,              62.99, 0.7938,    True,    True, {"ff_name": "FF_UK001K_20211103_045812_076_1036800.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   109095.61,    96661.43,          0.022042,     13.14,     95.26,              72.00, 0.9045,    True,    True, {"ff_name": "FF_UK003E_20211103_045817_146_1056512.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,     UK000H,       0,  0.000000, 2459521.707159979735,  48.09929,  15.37714,              262.30408,  26.09052,       262.28222,       26.09565,     48.09929,     +15.37714,      48.11823,      +15.36831, -1580502.45,  3814771.76,  4987350.58,      50.563055,       -4.749635,  109407.93,  240524.21,       0.00,               41.62,   693.27,      0.00,           50598.18,     83.90,     14.70,          73.05,  +4.58,  +2.67
  1,     UK000H,       0,  0.040272, 2459521.707160445862,  47.98742,  15.07001,              262.17409,  25.78669,       262.19221,       25.78243,     47.98742,     +15.07001,      47.97187,      +15.07734, -1580198.23,  3814231.12,  4986034.99,      50.559872,       -4.750832,  108000.63,  239997.62,    1454.52,             1496.14,  -102.51,  36117.45,           50598.18,    -69.57,    -12.15,          60.69,  +4.02,  +2.12
  2,     UK000H,       0,  0.080636, 2459521.707160912920,  47.76155,  14.66137,              262.06557,  25.33385,       262.06385,       25.33425,     47.76155,     +14.66137,      47.76338,      +14.66068, -1579764.77,  3813460.79,  4984160.46,      50.555335,       -4.752466,  105995.46,  239256.10,    3526.99,             3568.61,  -285.49,  51344.52,           50598.18,      6.57,      1.15,           5.75,  +1.68,  -0.21
  3,     UK000H,       0,  0.121104, 2459521.707161381375,  47.49558,  14.13928,              261.91085,  24.76879,       261.90356,       24.77050,     47.49558,     +14.13928,      47.50245,      +14.13632, -1579223.12,  3812498.21,  4981818.11,      50.549662,       -4.754468,  103489.91,  238348.98,    6116.69,             6158.31,    42.96,  63993.75,           50598.18,     28.03,      4.90,          24.63,  +1.41,  -0.48
  4,     UK000H,       0,  0.161492, 2459521.707161848899,  47.26558,  13.70284,              261.78978,  24.29110,       261.76989,       24.29576,     47.26558,     +13.70284,      47.28363,      +13.69476, -1578770.45,  3811693.76,  4979860.56,      50.544917,       -4.756169,  101395.99,  237611.61,    8280.96,             8322.58,   -49.56,  53586.97,           52562.88,     76.46,     13.39,          67.38,  +1.42,  -0.46
  5,     UK000H,       0,  0.201840, 2459521.707162315957,  47.06897,  13.31055,              261.67419,  23.86765,       261.65181,       23.87290,     47.06897,     +13.31055,      47.08940,      +13.30144, -1578369.81,  3810981.75,  4978127.96,      50.540715,       -4.757695,   99542.72,  236974.77,   10196.52,            10238.15,  -388.54,  47476.04,           52397.55,     86.08,     15.08,          76.06,  +3.54,  +1.67
  6,     UK000H,       0,  0.242412, 2459521.707162785344,  46.78222,  12.66189,              261.45478,  23.19062,       261.46191,       23.18895,     46.78222,     +12.66189,      46.77697,      +12.66480, -1577725.73,  3809837.13,  4975342.64,      50.533955,       -4.760047,   96563.50,  235973.52,   13275.97,            13317.59,   423.84,  75900.79,           54869.45,    -27.45,     -4.80,          24.36,  +3.11,  +1.25
  0,     UK001K,       0,  0.013640, 2459521.707160137594,  83.52996,   6.58661,              219.73447,  38.65191,       219.68861,       38.65656,     83.52996,      +6.58661,      83.56492,       +6.57653, -1580435.11,  3814652.08,  4987059.36,      50.562350,       -4.749919,  109096.41,  172358.90,       0.00,              363.60,   253.09,      0.00,           53857.04,     92.30,    -57.29,         130.01,  +3.11,  +1.93
  1,     UK001K,       0,  0.054160, 2459521.707160606515,  83.38150,   5.99702,              219.60625,  38.05251,       219.59350,       38.05380,     83.38150,      +5.99702,      83.39150,       +5.99420, -1580010.94,  3813898.26,  4985225.02,      50.557912,       -4.751523,  107134.21,  171467.39,    2028.04,             2391.64,    16.97,  50050.32,           53857.04,     25.74,    -15.99,          36.45,  +1.27,  +0.10
  2,     UK001K,       0,  0.094732, 2459521.707161076367,  83.20282,   5.35350,              219.48824,  37.39143,       219.49037,       37.39121,     83.20282,      +5.35350,      83.20157,       +5.35397, -1579549.60,  3813078.41,  4983229.97,      50.553082,       -4.753253,  105000.14,  170519.36,    4233.76,             4597.36,   -44.38,  54365.63,           53857.04,     -4.32,      2.69,           6.16,  +0.68,  -0.48
  3,     UK001K,       0,  0.135344, 2459521.707161546219,  82.98469,   4.67915,              219.40254,  36.68625,       219.38275,       36.68826,     82.98469,      +4.67915,      83.00067,       +4.67470, -1579065.64,  3812218.35,  4981137.11,      50.548012,       -4.755061,  102761.46,  169549.71,    6547.63,             6911.23,     0.19,  56975.04,           53857.04,     40.22,    -24.98,          57.60,  +0.72,  -0.43
  4,     UK001K,       0,  0.175944, 2459521.707162016071,  82.80296,   4.00674,              219.27862,  35.99704,       219.27894,       35.99700,     82.80296,      +4.00674,      82.80344,       +4.00681, -1578595.10,  3811382.13,  4979102.25,      50.543079,       -4.756824,  100584.87,  168632.20,    8797.37,             9160.97,   -18.69,  55412.38,           54497.30,     -0.66,      0.41,           0.94,  +0.79,  -0.34
  5,     UK001K,       0,  0.216508, 2459521.707162485924,  82.61143,   3.37944,              219.19002,  35.34523,       219.18312,       35.34593,     82.61143,      +3.37944,      82.61779,       +3.37786, -1578156.61,  3810602.86,  4977205.98,      50.538478,       -4.758479,   98556.54,  167800.24,   10893.89,            11257.49,  -188.80,  51684.12,           54278.36,     14.10,     -8.76,          20.40,  +1.06,  -0.06
  6,     UK001K,       0,  0.257180, 2459521.707162956707,  82.40084,   2.62918,              219.06566,  34.57275,       219.07052,       34.57226,     82.40084,      +2.62918,      82.39804,       +2.63030, -1577640.94,  3809686.46,  4974975.99,      50.533065,       -4.760396,   96171.31,  166849.21,   13359.36,            13722.96,     4.03,  60618.47,           54881.10,     -9.98,      6.20,          14.52,  +1.46,  +0.35
  7,     UK001K,       1,  0.297724, 2459521.707163425628,  82.18340,   2.03973,              219.02741,  33.94533,       218.98231,       33.94991,     82.18340,      +2.03973,      82.22088,       +2.02927, -1577230.55,  3808957.13,  4973201.23,      50.528754,       -4.761957,   94273.01,  166115.82,   15321.53,            15685.13,  -299.31,  48395.97,           54592.20,     92.87,    -57.59,         135.69,  +5.34,  +4.24
  0,     UK003E,       0,  0.013436, 2459521.707160135731,  57.28966,   6.58786,              248.19653,  24.63734,       248.16734,       24.64318,     57.28966,      +6.58786,      57.31484,       +6.57712, -1580434.94,  3814651.77,  4987058.61,      50.562349,       -4.749919,  109095.61,  251681.91,       0.00,              364.42,   265.31,      0.00,           53620.99,    118.24,    -16.25,          97.82,  +4.34,  +2.34
  1,     UK003E,       0,  0.053860, 2459521.707160603721,  57.12348,   6.11186,              248.03908,  24.15433,       248.05032,       24.15208,     57.12348,      +6.11186,      57.11401,       +6.11600, -1579952.74,  3813794.84,  4984973.36,      50.557303,       -4.751719,  106865.01,  251004.84,    2305.46,             2669.88,   311.98,  57031.97,           53620.99,    -45.56,      6.28,          37.79,  +2.08,  +0.08
  2,     UK003E,       0,  0.094216, 2459521.707161070779,  56.97665,   5.71132,              247.91393,  23.74362,       247.95212,       23.73598,     56.97665,      +5.71132,      56.94399,       +5.72543, -1579546.41,  3813072.74,  4983216.20,      50.553049,       -4.753262,  104985.40,  250450.90,    4248.18,             4612.60,    -0.30,  48139.44,           53620.99,   -154.94,     21.40,         128.82,  +1.82,  -0.17
  3,     UK003E,       0,  0.134660, 2459521.707161538769,  56.74580,   5.25293,              247.82734,  23.23704,       247.83459,       23.23559,     56.74580,      +5.25293,      56.74007,       +5.25561, -1579060.00,  3812208.32,  4981112.71,      50.547953,       -4.755077,  102735.36,  249804.09,    6573.79,             6938.21,    65.40,  57502.14,           53620.99,    -29.43,      4.05,          24.53,  +1.85,  -0.14
  4,     UK003E,       0,  0.175080, 2459521.707162006758,  56.55287,   4.79637,              247.70954,  22.75370,       247.72173,       22.75126,     56.55287,      +4.79637,      56.54298,       +4.80090, -1578591.65,  3811376.00,  4979087.33,      50.543042,       -4.756832,  100568.92,  249200.60,    8813.04,             9177.46,    46.08,  55399.51,           54182.73,    -49.59,      6.83,          41.43,  +1.65,  -0.33
  5,     UK003E,       0,  0.215472, 2459521.707162474282,  56.36440,   4.37790,              247.61273,  22.30380,       247.61807,       22.30273,     56.36440,      +4.37790,      56.36065,       +4.37989, -1578160.06,  3810609.00,  4977220.92,      50.538515,       -4.758463,   98572.53,  248661.80,   10876.55,            11240.97,  -147.42,  51087.00,           53901.10,    -21.71,      2.99,          18.18,  +2.18,  +0.20
  6,     UK003E,       0,  0.255840, 2459521.707162941340,  56.21455,   3.96226,              247.48467,  21.87834,       247.51909,       21.87146,     56.21455,      +3.96226,      56.18551,       +3.97512, -1577746.91,  3809874.77,  4975434.23,      50.534178,       -4.760032,   96661.43,  248161.42,   12851.91,            13216.33,  -427.73,  48933.92,           53268.89,   -140.20,     19.35,         117.64,  +3.44,  +1.47

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.