Orbital Analysis for matched events on 20210929_042457.998_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 94.73° Bg -6.70° Vg 68.63km/s
mass 0.00949g, abs. mag -0.6
Path Details
------------
start -5.39° 50.10° 104.54km
end   -5.49° 50.17° 91.89km

Orbit Details
-------------
Semimajor axis 3.90A.U., eccentricity 0.74, inclination 168.24°, Period 7.71Y, LA Sun 185.96°, last Perihelion 2014-01-17

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: 2459486.684004608076
Time: 2021-09-29 04:24:58.014553 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003E
 Convergence angle = 7.06396 deg
 R.A. =  95.69473  Dec = +16.98227 deg
Intersection 2 - Stations: UK0024 and UK003K
 Convergence angle = 15.52720 deg
 R.A. =  94.77808  Dec = +17.02516 deg
Intersection 3 - Stations: UK003E and UK003K
 Convergence angle = 22.59059 deg
 R.A. =  95.05708  Dec = +16.93725 deg

Best intersection: Stations UK003E and UK003K with Qconv = 22.59 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1492630.63 +/- 250.41 m
 Y =   3890275.90 +/- 164.87 m
 Z =   4950645.01 +/- 63.74 m
 Vx =    -5913.05 +/- 1921.43 m/s
 Vy =    66262.88 +/- 470.01 m/s
 Vz =    20192.96 +/- 425.55 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.028950e+04, +1.108775e+04, +1.279522e+04, +4.620801e+05, +9.825571e+04, +9.592297e+04
+1.108775e+04, +2.885489e+04, +7.918567e+03, +9.946535e+04, +2.353988e+04, +1.274950e+04
+1.279522e+04, +7.918567e+03, +4.319099e+03, +1.039129e+05, +2.195689e+04, +2.174855e+04
+4.620801e+05, +9.946535e+04, +1.039129e+05, +3.770585e+06, +7.979827e+05, +7.778277e+05
+9.825571e+04, +2.353988e+04, +2.195689e+04, +7.979827e+05, +1.706924e+05, +1.591335e+05
+9.592297e+04, +1.274950e+04, +2.174855e+04, +7.778277e+05, +1.591335e+05, +1.783289e+05

Timing offsets (from input data):
    UK0024: -0.000033 s
    UK003E: 0.000000 s
    UK003K: 0.000229 s

Reference point on the trajectory:
  Time: 2021-09-29 04:24:58.014553 UTC
  Lon     = +-5.389232 +/- 0.0031 deg
  Lat     = +50.100189 +/- 0.0010 deg
  Lat geo = +49.913775 +/- 0.0010 deg
  Ht      =  105139.21 +/- 171.21 m

  JD dynamic   = 2459486.684805538971 
  LST apparent = 69.0090678866 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  95.09935 +/- 1.6898 deg
  Dec       = +16.88483 +/- 0.2549 deg
  Azimuth   = 138.33961 +/- 2.2475 deg
  Elevation = +50.72107 +/- 0.8769 deg
  Vavg      =  67.91004 +/- 0.6982 km/s
  Vinit     =  69.52330 +/- 0.4480 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  95.33390 +/- 1.6898 deg
  Dec       = +16.85277 +/- 0.2549 deg
  Azimuth   = 138.04547 +/- 2.2475 deg
  Elevation = +50.59210 +/- 0.8769 deg
  Vavg      =  68.03846 +/- 0.6982 km/s
  Vinit     =  69.65171 +/- 0.4480 km/s
Radiant (geocentric, J2000):
  R.A.   =  94.90781 +/- 1.6995 deg
  Dec    = +16.66049 +/- 0.2576 deg
  Vg     =  68.63157 +/- 0.4537 km/s
  Vinf   =  69.52330 +/- 0.4480 km/s
  Zc     =  39.13982 +/- 0.8813 deg
  Zg     =  39.40276 +/- 0.8907 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  94.73368 +/- 1.6385 deg
  Bg     =  -6.69660 +/- 0.2364 deg
  Vh     =  39.29132 +/- 0.5597 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  93.07017 +/- 2.8134 deg
  Bh     = -11.74945 +/- 0.4850 deg
  Vh_x   =   2.06031 +/- 1.9548 km/s
  Vh_y   = -38.41285 +/- 0.5416 km/s
  Vh_z   =   8.00099 +/- 0.2418 km/s
Orbit:
  La Sun = 185.956827 +/- 0.0000 deg
  a      =   3.903399 +/- 2.6200 AU
  e      =   0.744086 +/- 0.0519
  i      = 168.235987 +/- 0.4250 deg
  peri   =   6.632624 +/- 5.5731 deg
  node   =   5.961537 +/- 0.0001 deg
  Pi     =  12.594161 +/- 5.5732 deg
  q      =   0.998936 +/- 0.0134 AU
  f      = 353.370102 +/- 5.5730 deg
  M      = 359.348832 +/- 0.1845 deg
  Q      =   6.807861 +/- 5.2525 AU
  n      =   0.127803 +/- 0.0306 deg/day
  T      =   7.711964 +/- 11.6270 years
  Last perihelion JD = 2456674.936049 (2014-01-17 10:27:54.639867) +/- 4243.8950 days
  Tj     =   0.200386 +/- 0.2742
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.541427e-03, -6.517034e-04, -1.641222e+02, +8.394346e-08, +4.835399e-03, +3.272460e-04
q   , -6.517034e-04, +1.679400e-04, +4.300274e+01, -2.155537e-08, -1.229348e-03, -8.384306e-05
Tp  , -1.641222e+02, +4.300274e+01, +1.431986e+07, -4.449212e-03, -2.871398e+02, -1.721245e+01
node, +8.394346e-08, -2.155537e-08, -4.449212e-03, +3.738547e-12, +1.672455e-07, +1.456584e-08
peri, +4.835399e-03, -1.229348e-03, -2.871398e+02, +1.672455e-07, +9.440095e-03, +6.546001e-04
i   , +3.272460e-04, -8.384306e-05, -1.721245e+01, +1.456584e-08, +6.546001e-04, +5.684058e-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: UK003E
  Avg. res. = 9.348e-07 s
  Stddev    = 9.67e-04 s

Begin point on the trajectory:
  Lon =    -5.393726 +/- 0.0026 deg
  Lat =    50.103437 +/- 0.0007 deg
  Ht  = 104538.17 +/- 131.68 m
End point on the trajectory:
  Lon =    -5.489687 +/- 0.0030 deg
  Lat =    50.171924 +/- 0.0007 deg
  Ht  = 91893.00 +/- 126.85 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
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   104538.17,    91893.00,          0.010423,     29.30,     27.05,              73.03, 0.9148,    True,    True, {"ff_name": "FF_UK0024_20210929_042457_925_0894208.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   103259.97,    92555.66,          0.027169,     94.57,    111.83,              77.80, 0.9553,    True,    True, {"ff_name": "FF_UK003E_20210929_042452_710_0899328.fits"}
    UK003K,   False,    -4.388944,    50.464439,  133.00,   0.000000,   0.000000,   102464.36,    96105.63,          0.019105,     38.36,     19.72,              54.95, 0.6703,    True,    True, {"ff_name": "FF_UK003K_20210929_042448_022_0868608.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,     UK0024,       0,  0.016447, 2459486.684004798066,  17.56535,   6.58770,              244.55180,  27.28836,       244.54380,       27.28256,     17.56535,      +6.58770,      17.56794,       +6.57887,  1492696.67,  3889535.83,  4950419.48,      50.103437,       -5.393726,  104538.17,  221382.03,       0.00,              776.48,   309.37,      0.00,           65117.82,     24.04,     26.06,          33.03,  +2.34,  +0.61
  1,     UK0024,       0,  0.056991, 2459486.684005267452,  16.90678,   6.39300,              245.02742,  26.75305,       245.02698,       26.75272,     16.90678,      +6.39300,      16.90715,       +6.39251,  1492926.35,  3886962.01,  4949635.13,      50.114738,       -5.409535,  102448.14,  220763.15,    2700.46,             3476.94,   191.08,  66605.72,           65117.82,      1.34,      1.45,           1.85,  +1.03,  -0.69
  2,     UK0024,       0,  0.097523, 2459486.684005736373,  16.26082,   6.20989,              245.49561,  26.23325,       245.49520,       26.23296,     16.26082,      +6.20989,      16.26136,       +6.20944,  1493149.76,  3884458.46,  4948872.20,      50.125735,       -5.424935,  100415.58,  220191.64,    5327.20,             6103.68,    -0.10,  64806.60,           65117.82,      1.22,      1.32,           1.69,  +0.89,  -0.82
  3,     UK0024,       0,  0.138047, 2459486.684006205760,  15.61978,   6.02736,              245.95648,  25.71564,       245.95604,       25.71532,     15.61978,      +6.02736,      15.62049,       +6.02687,  1493370.49,  3881984.85,  4948118.39,      50.136605,       -5.440168,   98407.74,  219656.59,    7922.52,             8699.00,  -222.14,  64044.01,           65117.82,      1.32,      1.43,           1.83,  +1.17,  -0.54
  4,     UK0024,       0,  0.178703, 2459486.684006676078,  14.83447,   5.77739,              246.49989,  25.05863,       246.52031,       25.07324,     14.83447,      +5.77739,      14.82864,       +5.80003,  1493642.14,  3878940.68,  4947190.71,      50.149990,       -5.458899,   95937.33,  219036.42,   11116.48,            11892.96,   145.28,  78560.47,           67696.75,    -61.14,    -66.18,          84.85,  +1.19,  -0.51
  5,     UK0024,       0,  0.219239, 2459486.684007145464,  14.16404,   5.59964,              246.98310,  24.52551,       246.99084,       24.53103,     14.16404,      +5.59964,      14.16245,       +5.60823,  1493869.61,  3876391.63,  4946413.91,      50.161203,       -5.474629,   93869.19,  218553.38,   13790.95,            14567.43,     1.55,  65977.77,           68186.88,    -23.15,    -25.07,          32.21,  +1.23,  -0.47
  6,     UK0024,       0,  0.259759, 2459486.684007614385,  13.52413,   5.41736,              247.43321,  24.00535,       247.43868,       24.00924,     13.52413,      +5.41736,      13.52343,       +5.42344,  1494087.01,  3873955.44,  4945671.51,      50.171924,       -5.489687,   91893.00,  218121.90,   16347.02,            17123.50,  -259.46,  63081.61,           67815.44,    -16.35,    -17.71,          22.79,  +1.82,  +0.13
  0,     UK003E,       1,  0.000000, 2459486.684004608076,  15.26882,  -1.34435,              242.60342,  18.58624,       242.56456,       18.55645,     15.26882,      -1.34435,      15.28296,       -1.38956,  1492608.75,  3890521.11,  4950719.73,      50.099112,       -5.387675,  105338.37,  309737.14,       0.00,              257.28,   933.61,      0.00,           64416.57,    195.49,    165.38,         170.52,  +4.28,  +1.83
  1,     UK003E,       0,  0.040364, 2459486.684005075134,  14.80186,  -1.50029,              242.92121,  18.19726,       242.89061,       18.17384,     14.80186,      -1.50029,      14.81317,       -1.53593,  1492837.13,  3887961.82,  4949939.81,      50.110347,       -5.403388,  103259.97,  309323.18,    2685.22,             2427.94,   298.03,  66525.07,           64416.57,    153.90,    130.15,         134.40,  +1.08,  -1.37
  2,     UK003E,       0,  0.080700, 2459486.684005542193,  14.35402,  -1.63506,              243.23322,  17.83597,       243.19906,       17.80985,     14.35402,      -1.63506,      14.36679,       -1.67487,  1493053.52,  3885536.88,  4949200.84,      50.120997,       -5.418302,  101291.06,  308952.56,    5229.48,             4972.20,    38.00,  63076.71,           64416.57,    171.71,    145.23,         150.14,  +0.69,  -1.76
  3,     UK003E,       0,  0.121060, 2459486.684006009251,  13.90517,  -1.79663,              243.52902,  17.45134,       243.51210,       17.43842,     13.90517,      -1.79663,      13.91183,       -1.81636,  1493273.53,  3883071.40,  4948449.50,      50.131830,       -5.433478,   99289.64,  308596.69,    7816.28,             7558.99,  -181.17,  64093.05,           64416.57,     85.04,     71.88,          74.42,  +0.80,  -1.65
  4,     UK003E,       0,  0.161456, 2459486.684006476775,  13.37672,  -1.95637,              243.89338,  17.02313,       243.87300,       17.00759,     13.37672,      -1.95637,      13.38481,       -1.98016,  1493527.82,  3880221.82,  4947581.13,      50.144356,       -5.451013,   96976.93,  308210.45,   10806.06,            10548.78,     0.15,  74011.88,           66260.73,    102.38,     86.54,          89.71,  +1.02,  -1.42
  5,     UK003E,       0,  0.201824, 2459486.684006943833,  12.90758,  -2.11974,              244.20264,  16.62453,       244.19619,       16.61962,     12.90758,      -2.11974,      12.91077,       -2.12728,  1493755.92,  3877665.63,  4946802.15,      50.155598,       -5.466777,   94902.78,  307889.37,   13488.03,            13230.74,  -124.40,  66437.92,           66812.60,     32.39,     27.37,          28.41,  +1.08,  -1.36
  6,     UK003E,       0,  0.242228, 2459486.684007411823,  12.36805,  -2.28100,              244.57216,  16.18748,       244.56106,       16.17904,     12.36805,      -2.28100,      12.37310,       -2.29399,  1494014.10,  3874772.38,  4945920.46,      50.168328,       -5.484619,   92555.66,  307552.52,   16523.64,            16266.36,   102.20,  75131.50,           67901.93,     55.77,     47.13,          48.97,  +1.99,  -0.45
  0,     UK003K,       0,  0.056383, 2459486.684005255811,  32.00457,  24.00122,              242.22674,  50.52622,       242.24414,       50.53766,     32.00457,     +24.00122,      32.00300,      +24.01705,  1492924.57,  3886981.99,  4949641.22,      50.114650,       -5.409410,  102464.36,  131846.19,       0.00,             3455.98,   212.37,      0.00,           68164.09,    -16.76,    -32.56,          57.28,  +1.53,  +0.93
  1,     UK003K,       0,  0.096635, 2459486.684005721938,  30.97905,  23.92255,              243.30019,  49.88402,       243.29209,       49.87878,     30.97905,     +23.92255,      30.98035,      +23.91519,  1493135.99,  3884612.70,  4948919.20,      50.125057,       -5.423991,  100540.79,  130593.43,    2485.87,             5941.85,  -100.21,  61757.80,           68164.09,      7.72,     15.01,          26.65,  +1.07,  +0.49
  2,     UK003K,       0,  0.136931, 2459486.684006188065,  29.79986,  23.81670,              244.49450,  49.12735,       244.46460,       49.10826,     29.79986,     +23.81670,      29.80399,      +23.78956,  1493374.89,  3881935.57,  4948103.37,      50.136822,       -5.440462,   98367.74,  129220.15,    5294.73,             8750.71,   -92.87,  69705.51,           68164.09,     28.17,     54.84,          98.41,  +3.14,  +2.58
  3,     UK003K,       0,  0.177271, 2459486.684006655123,  28.55197,  23.66618,              245.69396,  48.29006,       245.67199,       48.27625,     28.55197,     +23.66618,      28.55551,      +23.64623,  1493623.63,  3879148.09,  4947253.92,      50.149077,       -5.457626,   96105.63,  127840.11,    8219.36,            11675.34,    27.20,  72499.53,           68164.09,     20.52,     39.92,          72.42,  +1.86,  +1.33

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.