Orbital Analysis for matched events on 20211015_043534.353_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 67.03° Bg 32.97° Vg 51.83km/s
mass 0.03461g, abs. mag -0.4
best visual mag -0.3
Path Details
------------
start -1.28° 51.40° 106.88km
end   -1.21° 51.38° 91.37km

Orbit Details
-------------
Semimajor axis 58.80A.U., eccentricity 0.99, inclination 92.11°, Period 450.91Y, LA Sun 201.75°, last Perihelion 1570-12-19

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: 2459502.691369834356
Time: 2021-10-15 04:35:34.394002 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK000S
 Convergence angle = 0.59255 deg
 R.A. = 348.98115  Dec = -67.73823 deg
Intersection 2 - Stations: UK0001 and UK003D
 Convergence angle = 49.86260 deg
 R.A. =  57.53714  Dec = +54.11323 deg
Intersection 3 - Stations: UK000S and UK003D
 Convergence angle = 49.46786 deg
 R.A. =  57.89586  Dec = +53.57349 deg

Best intersection: Stations UK0001 and UK003D with Qconv = 49.86 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -108686.78 +/- 42.36 m
 Y =   4053200.91 +/- 71.84 m
 Z =   5046566.62 +/- 51.19 m
 Vx =    16940.80 +/- 154.62 m/s
 Vy =    26275.26 +/- 204.71 m/s
 Vz =    42808.58 +/- 209.38 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.082821e+03, +2.923215e+03, +2.079411e+03, +3.672361e+03, +4.819194e+03, -5.661445e+02
+2.923215e+03, +5.917955e+03, +3.739803e+03, +3.488975e+03, +1.235524e+04, +4.099168e+02
+2.079411e+03, +3.739803e+03, +3.055204e+03, +2.145002e+03, +7.048032e+03, +1.522332e+03
+3.672361e+03, +3.488975e+03, +2.145002e+03, +1.075462e+04, +4.626644e+03, -5.554211e+03
+4.819194e+03, +1.235524e+04, +7.048032e+03, +4.626644e+03, +3.199622e+04, +2.570546e+03
-5.661445e+02, +4.099168e+02, +1.522332e+03, -5.554211e+03, +2.570546e+03, +2.004159e+04

Timing offsets (from input data):
    UK0001: 0.000755 s
    UK000S: 0.000614 s
    UK003D: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 04:35:34.394002 UTC
  Lon     = +-1.291388 +/- 0.0006 deg
  Lat     = +51.404532 +/- 0.0003 deg
  Lat geo = +51.219906 +/- 0.0003 deg
  Ht      =  108482.09 +/- 81.21 m

  JD dynamic   = 2459502.692171041854 
  LST apparent = 91.5360210542 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.18837 +/- 0.2063 deg
  Dec       = +53.85936 +/- 0.1790 deg
  Azimuth   = 290.31776 +/- 0.5069 deg
  Elevation = +69.21681 +/- 0.1185 deg
  Vavg      =  52.09200 +/- 0.0590 km/s
  Vinit     =  53.00900 +/- 0.1393 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  57.63815 +/- 0.2063 deg
  Dec       = +54.00441 +/- 0.1790 deg
  Azimuth   = 290.63516 +/- 0.5069 deg
  Elevation = +69.49724 +/- 0.1185 deg
  Vavg      =  51.99435 +/- 0.0590 km/s
  Vinit     =  52.91135 +/- 0.1393 km/s
Radiant (geocentric, J2000):
  R.A.   =  56.37355 +/- 0.2099 deg
  Dec    = +53.76394 +/- 0.1808 deg
  Vg     =  51.83447 +/- 0.1425 km/s
  Vinf   =  53.00900 +/- 0.1393 km/s
  Zc     =  20.84798 +/- 0.1186 deg
  Zg     =  21.08415 +/- 0.1206 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.03300 +/- 0.1448 deg
  Bg     = +32.97453 +/- 0.1822 deg
  Vh     =  42.00176 +/- 0.1007 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  23.66628 +/- 0.2891 deg
  Bh     = +42.19863 +/- 0.2150 deg
  Vh_x   = -28.49890 +/- 0.0983 km/s
  Vh_y   = -12.49014 +/- 0.1662 km/s
  Vh_z   = -28.21270 +/- 0.1476 km/s
Orbit:
  La Sun = 201.751390 +/- -0.0000 deg
  a      =  58.802269 +/- 14.9052 AU
  e      =   0.992374 +/- 0.0042
  i      =  92.108322 +/- 0.3176 deg
  peri   = 276.019718 +/- 0.5647 deg
  node   = 201.753441 +/- -0.0000 deg
  Pi     = 117.773160 +/- 0.5647 deg
  q      =   0.448420 +/- 0.0042 AU
  f      = 263.980189 +/- 0.5647 deg
  M      = 359.915551 +/- 0.0930 deg
  Q      = 117.156118 +/- 29.8081 AU
  n      =   0.002186 +/- 0.0024 deg/day
  T      = 450.911969 +/- 152.3639 years
  Last perihelion JD = 2294842.861801 (1570-12-19 08:40:59.591219) +/- 55651.9619 days
  Tj     =   0.058019 +/- 0.0513
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.918441e-05, +6.941125e-06, -2.150744e+02, -1.036649e-09, -1.426557e-03, +6.625191e-04
q   , +6.941125e-06, +1.619308e-05, -9.342056e+01, +8.641961e-11, -2.103773e-03, -8.176733e-05
Tp  , -2.150744e+02, -9.342056e+01, +2.891748e+09, +1.065064e-02, +1.777395e+04, -6.775539e+03
node, -1.036649e-09, +8.641961e-11, +1.065064e-02, +2.826566e-13, +2.382767e-08, -1.802426e-07
peri, -1.426557e-03, -2.103773e-03, +1.777395e+04, +2.382767e-08, +2.903109e-01, -1.214697e-02
i   , +6.625191e-04, -8.176733e-05, -6.775539e+03, -1.802426e-07, -1.214697e-02, +1.150419e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.007581
 a2 = 30.821935

Mean time residuals from time vs. length:
  Station with reference time: UK003D
  Avg. res. = 1.253e-06 s
  Stddev    = 1.12e-03 s

Begin point on the trajectory:
  Lon =    -1.283331 +/- 0.0005 deg
  Lat =    51.402666 +/- 0.0003 deg
  Ht  = 106880.42 +/- 53.89 m
End point on the trajectory:
  Lon =    -1.206488 +/- 0.0004 deg
  Lat =    51.384518 +/- 0.0002 deg
  Ht  = 91373.13 +/- 33.23 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,   0.000668,  38.496048,   105352.12,    93307.58,          0.018105,     22.92,     31.42,              40.54, 0.4224,    True,    True, {"ff_name": "FF_UK0001_20211015_043531_166_0966400.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000001,  58.784271,   101383.14,    93527.13,          0.021799,     27.12,     37.08,              40.54, 0.4224,    True,    True, {"ff_name": "FF_UK000S_20211015_043538_371_0954624.fits"}
    UK003D,   False,    -0.649870,    51.914450,   87.00,   0.044281,  25.961941,   106880.42,    91373.13,          0.012342,      6.81,     24.99,              33.22, 0.3001,    True,    True, {"ff_name": "FF_UK003D_20211015_043530_097_0975616.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,  0.073060, 2459502.691370671149, 153.59729,  71.59107,               29.96675,  55.87224,        29.99475,       55.88191,    153.59729,     +71.59107,     153.56980,      +71.57485,  -109756.72,  4051541.43,  5043862.93,      51.400884,       -1.275773,  105352.12,  126754.51,       0.00,             3347.93,  -100.83,      0.00,           54500.20,     32.96,     24.06,          66.40,  +2.88,  +2.37
  1,     UK0001,       0,  0.113620, 2459502.691371140536, 155.39705,  71.27681,               30.55941,  55.31105,        30.59288,       55.32255,    155.39705,     +71.27681,     155.36275,      +71.25757,  -110445.76,  4050472.73,  5042121.78,      51.398531,       -1.265794,  103336.55,  125152.05,    2156.04,             5503.97,   -94.84,  53156.70,           54500.20,     39.25,     28.64,          80.09,  +1.69,  +1.20
  2,     UK0001,       0,  0.154236, 2459502.691371610854, 157.30937,  70.91106,               31.19374,  54.69034,        31.23241,       54.70356,    157.30937,     +70.91106,     157.26804,      +70.88903,  -111184.25,  4049327.32,  5040255.63,      51.396007,       -1.255080,  101176.37,  123453.35,    4466.84,             7814.77,    62.95,  56894.03,           54500.20,     45.20,     32.97,          93.48,  +0.93,  +0.47
  3,     UK0001,       0,  0.194832, 2459502.691372080706, 158.99894,  70.51632,               31.83121,  54.11631,        31.82126,       54.11292,    158.99894,     +70.51632,     159.01093,      +70.52193,  -111867.31,  4048267.90,  5038529.59,      51.393671,       -1.245178,   99178.44,  121899.69,    6604.17,             9952.10,    48.33,  52648.74,           54500.20,    -11.58,     -8.46,          24.27,  +0.13,  -0.30
  4,     UK0001,       0,  0.235436, 2459502.691372550558, 160.79098,  70.14120,               32.38388,  53.48541,        32.41570,       53.49618,    160.79098,     +70.14120,     160.75501,      +70.12340,  -112559.22,  4047194.75,  5036781.17,      51.391301,       -1.235141,   97154.69,  120344.04,    8769.20,            12117.13,    60.98,  53320.64,           54158.89,     36.96,     26.96,          78.41,  -0.01,  -0.41
  5,     UK0001,       0,  0.276020, 2459502.691373020411, 162.38752,  69.73651,               32.95039,  52.89513,        32.96972,       52.90164,    162.38752,     +69.73651,     162.36561,      +69.72581,  -113207.06,  4046189.94,  5035144.10,      51.389080,       -1.225748,   95259.88,  118904.36,   10796.35,            14144.28,   -63.19,  49949.49,           53460.24,     22.39,     16.34,          48.09,  +0.16,  -0.22
  6,     UK0001,       0,  0.316636, 2459502.691373490263, 164.01581,  69.29780,               33.52528,  52.26661,        33.53865,       52.27109,    164.01581,     +69.29780,     164.00080,      +69.29048,  -113874.59,  4045154.60,  5033457.29,      51.386790,       -1.216061,   93307.58,  117439.05,   12885.10,            16233.03,  -127.46,  51426.59,           52992.69,     15.44,     11.27,          33.58,  +0.28,  -0.07
  0,     UK000S,       1,  0.069016, 2459502.691370625980, 153.41213,  71.63064,               29.89027,  55.92827,        29.92942,       55.94180,    153.41213,     +71.63064,     153.37375,      +71.60794,  -109681.72,  4051657.77,  5044052.47,      51.401140,       -1.276861,  105571.54,  126929.89,       0.00,             3113.22,  -121.15,      0.00,           52171.73,     46.12,     33.65,          92.77,  +4.81,  +4.29
  1,     UK000S,       1,  0.109444, 2459502.691371093970, 155.78026,  71.20717,               30.68444,  55.18875,        30.72152,       55.20148,    155.78026,     +71.20717,     155.74184,      +71.18588,  -110591.28,  4050247.03,  5041754.06,      51.398034,       -1.263633,  102910.90,  124816.82,    2846.09,             5959.31,   581.89,  70398.90,           52171.73,     43.47,     31.71,          88.92,  +4.10,  +3.62
  2,     UK000S,       0,  0.149676, 2459502.691371559631, 157.07187,  70.91806,               31.18449,  54.76813,        31.17141,       54.76366,    157.07187,     +70.91806,     157.08662,      +70.92552,  -111113.57,  4049436.96,  5040434.26,      51.396249,       -1.256104,  101383.14,  123615.15,    4480.36,             7593.58,    83.50,  40621.30,           52171.73,    -15.28,    -11.17,          31.58,  +0.71,  +0.25
  3,     UK000S,       0,  0.189972, 2459502.691372026224, 158.64991,  70.55999,               31.76802,  54.23489,        31.71781,       54.21779,    158.64991,     +70.55999,     158.70677,      +70.58838,  -111747.69,  4048453.43,  5038831.86,      51.394080,       -1.246923,   99528.32,  122170.29,    6464.58,             9577.80,   -68.33,  49241.10,           52171.73,    -58.46,    -42.77,         122.29,  +0.00,  -0.43
  4,     UK000S,       0,  0.230348, 2459502.691372493282, 160.44289,  70.18524,               32.32878,  53.60716,        32.31455,       53.60234,    160.44289,     +70.18524,     160.46028,      +70.19321,  -112441.75,  4047376.94,  5037078.00,      51.391703,       -1.236853,   97498.26,  120606.65,    8636.35,            11749.57,   -36.85,  53788.56,           51817.40,    -16.52,    -12.07,          34.99,  -0.29,  -0.70
  5,     UK000S,       0,  0.270700, 2459502.691372960340, 162.13743,  69.74428,               32.95618,  52.98201,        32.91025,       52.96651,    162.13743,     +69.74428,     162.19316,      +69.76974,  -113137.21,  4046298.28,  5035320.61,      51.389320,       -1.226758,   95464.18,  119058.85,   10812.49,            13925.72,     0.27,  53929.04,           52018.16,    -53.18,    -38.89,         114.13,  -0.23,  -0.61
  6,     UK000S,       0,  0.311080, 2459502.691373427864, 163.80523,  69.33533,               33.48461,  52.34612,        33.47494,       52.34287,    163.80523,     +69.33533,     163.81831,      +69.34064,  -113799.52,  4045271.03,  5033646.99,      51.387048,       -1.217147,   93527.13,  117602.99,   12884.91,            15998.13,   -67.82,  51322.74,           52015.20,    -11.18,     -8.16,          24.27,  +0.03,  -0.32
  7,     UK000S,       1,  0.351348, 2459502.691373893991, 164.94770,  69.01427,               33.88489,  51.89045,        33.87467,       51.88703,    164.94770,     +69.01427,     164.96182,      +69.01983,  -114272.57,  4044537.33,  5032451.61,      51.385423,       -1.210327,   92143.61,  116573.30,   14365.12,            17478.34,  -722.17,  36759.00,           50744.80,    -11.79,     -8.61,          25.83,  +3.79,  +3.46
  0,     UK003D,       1,  0.000000, 2459502.691369834356,  70.15028,  22.31151,              218.20509,  55.87498,       218.27777,       55.84262,     70.15028,     +22.31151,      70.09569,      +22.29887,  -108695.44,  4053187.48,  5046544.74,      51.404503,       -1.291092,  108456.75,  130461.13,       0.00,               27.10,   451.19,      0.00,           50470.67,   -114.32,     31.40,         187.45,  +5.45,  +4.87
  1,     UK003D,       0,  0.040320, 2459502.691370300949,  70.21106,  21.90539,              217.81845,  55.52765,       217.83760,       55.51917,     70.21106,     +21.90539,      70.19683,      +21.90207,  -109234.29,  4052351.73,  5045183.10,      51.402666,       -1.283331,  106880.42,  129054.98,    1686.09,             1713.19,    -0.04,  41817.64,           50470.67,    -29.90,      8.17,          49.54,  +2.24,  +1.69
  2,     UK003D,       0,  0.080744, 2459502.691370768938,  70.33982,  21.35333,              217.23416,  55.07108,       217.23734,       55.06968,     70.33982,     +21.35333,      70.33777,      +21.35278,  -109961.57,  4051223.71,  5043345.30,      51.400185,       -1.272792,  104752.90,  127166.31,    3961.81,             3988.91,   132.84,  56296.24,           50470.67,     -4.91,      1.34,           8.26,  +1.32,  +0.80
  3,     UK003D,       0,  0.121140, 2459502.691371236462,  70.46448,  20.83698,              216.69215,  54.64352,       216.68755,       54.64552,     70.46448,     +20.83698,      70.46845,      +20.83778,  -110624.23,  4050195.93,  5041670.79,      51.397922,       -1.263199,  102814.50,  125456.87,    6035.31,             6062.41,    65.00,  51329.51,           50470.67,      7.04,     -1.92,          12.00,  +0.88,  +0.39
  4,     UK003D,       0,  0.161528, 2459502.691371703986,  70.59885,  20.32341,              216.14773,  54.22008,       216.14977,       54.21919,     70.59885,     +20.32341,      70.59798,      +20.32306,  -111268.86,  4049196.09,  5040041.83,      51.395718,       -1.253867,  100928.88,  123804.56,    8052.43,             8079.53,   -58.82,  49943.45,           50645.25,     -3.09,      0.84,           5.34,  +0.51,  +0.05
  5,     UK003D,       0,  0.201932, 2459502.691372171510,  70.75696,  19.78310,              215.56092,  53.77845,       215.59184,       53.76509,     70.75696,     +19.78310,      70.73444,      +19.77772,  -111933.55,  4048165.17,  5038362.21,      51.393444,       -1.244234,   98984.69,  122112.09,   10132.27,            10159.37,  -120.75,  51476.03,           50813.85,    -46.54,     12.70,          81.49,  +0.16,  -0.27
  6,     UK003D,       0,  0.242408, 2459502.691372639965,  70.88601,  19.16614,              214.97946,  53.25318,       214.97971,       53.25307,     70.88601,     +19.16614,      70.88684,      +19.16609,  -112657.72,  4047041.96,  5036532.25,      51.390963,       -1.233719,   96866.57,  120281.44,   12398.27,            12425.37,    -0.34,  55983.85,           51429.25,     -0.37,      0.10,           0.65,  +0.22,  -0.18
  7,     UK003D,       0,  0.282868, 2459502.691373108421,  71.02860,  18.56535,              214.40089,  52.74532,       214.39424,       52.74816,     71.02860,     +18.56535,      71.03484,      +18.56651,  -113346.78,  4045973.23,  5034791.02,      51.388601,       -1.223717,   94851.23,  118553.58,   14554.39,            14581.49,    11.03,  53290.24,           51840.83,      9.83,     -2.67,          17.73,  +0.19,  -0.18
  8,     UK003D,       0,  0.323276, 2459502.691373575944,  71.15813,  18.02469,              213.88873,  52.28674,       213.87943,       52.29068,     71.15813,     +18.02469,      71.16656,      +18.02631,  -113950.73,  4045036.51,  5033264.89,      51.386528,       -1.214967,   93084.89,  117051.19,   16444.17,            16471.27,  -241.17,  46767.43,           51694.50,     13.65,     -3.71,          24.92,  +0.51,  +0.17
  9,     UK003D,       0,  0.363672, 2459502.691374043468,  71.31950,  17.49497,              213.34635,  51.84735,       213.37848,       51.83377,     71.31950,     +17.49497,      71.29651,      +17.48934,  -114536.03,  4044128.71,  5031785.87,      51.384518,       -1.206488,   91373.13,  115606.01,   18275.61,            18302.71,  -551.08,  45337.21,           51273.41,    -46.82,     12.75,          86.58,  +2.19,  +1.88

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.