Orbital Analysis for matched events on 20210813_220217.696_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 46.17° Bg 29.01° Vg 64.65km/s
mass 0.00852g, abs. mag 0.7
Path Details
------------
start -1.45° 52.00° 110.68km
end   -1.66° 51.90° 100.91km

Orbit Details
-------------
Semimajor axis 53.26A.U., eccentricity 0.98, inclination 130.66°, Period 388.69Y, LA Sun 141.07°, last Perihelion 1632-12-09

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: 2459440.418260377832
Time: 2021-08-13 22:02:17.701231 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK0027
 Convergence angle = 41.56969 deg
 R.A. =  32.33306  Dec = +44.35105 deg
Intersection 2 - Stations: UK000S and UK002W
 Convergence angle = 41.98100 deg
 R.A. =  32.47418  Dec = +44.72572 deg
Intersection 3 - Stations: UK0027 and UK002W
 Convergence angle = 0.48577 deg
 R.A. = 170.86671  Dec = -68.83217 deg

Best intersection: Stations UK000S and UK002W with Qconv = 41.98 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1479272.16 +/- 107.75 m
 Y =  -3719547.91 +/- 79.28 m
 Z =   5090523.61 +/- 220.52 m
 Vx =    39472.27 +/- 659.99 m/s
 Vy =    25019.19 +/- 325.69 m/s
 Vz =    46028.39 +/- 707.10 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.861480e+03, +6.591576e+03, +1.819469e+04, +8.856091e+03, +9.610703e+01, -6.049178e+02
+6.591576e+03, +4.805309e+03, +1.381994e+04, +5.871730e+03, +1.330213e+03, +1.752954e+03
+1.819469e+04, +1.381994e+04, +4.265412e+04, +1.534081e+04, +5.133953e+03, +1.017400e+04
+8.856091e+03, +5.871730e+03, +1.534081e+04, +8.865270e+03, +9.584983e+02, +1.815971e+03
+9.610703e+01, +1.330213e+03, +5.133953e+03, +9.584983e+02, +5.414889e+03, +1.166944e+04
-6.049178e+02, +1.752954e+03, +1.017400e+04, +1.815971e+03, +1.166944e+04, +3.370300e+04

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK0027: -0.000098 s
    UK002W: 0.000005 s

Reference point on the trajectory:
  Time: 2021-08-13 22:02:17.701231 UTC
  Lon     = +-1.441062 +/- 0.0018 deg
  Lat     = +52.004077 +/- 0.0015 deg
  Lat geo = +51.820426 +/- 0.0015 deg
  Ht      =  110909.81 +/- 149.74 m

  JD dynamic   = 2459440.419061171822 
  LST apparent = 291.6878215272 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  32.36825 +/- 0.1577 deg
  Dec       = +44.56448 +/- 0.3468 deg
  Azimuth   =  52.56119 +/- 0.3475 deg
  Elevation = +28.14482 +/- 0.1980 deg
  Vavg      =  63.30136 +/- 0.6329 km/s
  Vinit     =  65.59446 +/- 0.6081 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  32.30233 +/- 0.1577 deg
  Dec       = +44.38920 +/- 0.3468 deg
  Azimuth   =  52.73627 +/- 0.3475 deg
  Elevation = +28.04951 +/- 0.1980 deg
  Vavg      =  63.50606 +/- 0.6329 km/s
  Vinit     =  65.79915 +/- 0.6081 km/s
Radiant (geocentric, J2000):
  R.A.   =  32.50750 +/- 0.1511 deg
  Dec    = +44.09989 +/- 0.3552 deg
  Vg     =  64.64931 +/- 0.6168 km/s
  Vinf   =  65.59446 +/- 0.6081 km/s
  Zc     =  61.96692 +/- 0.1972 deg
  Zg     =  62.46625 +/- 0.2076 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  46.17100 +/- 0.2552 deg
  Bg     = +29.01182 +/- 0.2972 deg
  Vh     =  41.64998 +/- 0.6763 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  40.25054 +/- 0.5921 deg
  Bh     = +48.83443 +/- 0.1906 deg
  Vh_x   = -20.92428 +/- 0.1007 km/s
  Vh_y   = -17.71405 +/- 0.4430 km/s
  Vh_z   = -31.35455 +/- 0.5944 km/s
Orbit:
  La Sun = 141.070310 +/- nan deg
  a      =  53.260266 +/- 274.2734 AU
  e      =   0.981272 +/- 0.0648
  i      = 130.657244 +/- 0.1501 deg
  peri   = 194.332632 +/- 1.1669 deg
  node   = 141.066995 +/- 0.0000 deg
  Pi     = 335.399626 +/- 1.1669 deg
  q      =   0.997435 +/- 0.0020 AU
  f      = 345.662373 +/- 1.1669 deg
  M      = 359.973622 +/- nan deg
  Q      = 105.523097 +/- 548.5465 AU
  n      =   0.002536 +/- 0.0208 deg/day
  T      = 388.692029 +/- 471404133.6817 years
  Last perihelion JD = 2317478.584897 (1632-12-09 02:02:15.067597) +/- 203719.3695 days
  Tj     =  -0.705259 +/- 0.3485
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.774112e-04, +9.634122e-06, -2.471268e+03, -1.506953e-10, -9.687201e-05, +1.313742e-06
q   , +9.634122e-06, +6.070179e-07, -1.491405e+02, +5.288799e-11, -5.616747e-06, -4.633656e-07
Tp  , -2.471268e+03, -1.491405e+02, +4.028407e+10, -1.805811e-02, +1.384441e+03, +1.580733e+02
node, -1.506953e-10, +5.288799e-11, -1.805811e-02, +2.418512e-14, -4.238678e-10, -2.115069e-10
peri, -9.687201e-05, -5.616747e-06, +1.384441e+03, -4.238678e-10, +5.245284e-05, +3.714138e-06
i   , +1.313742e-06, -4.633656e-07, +1.580733e+02, -2.115069e-10, +3.714138e-06, +1.849702e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 7.156544
 a2 = 12.080161

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 2.589e-06 s
  Stddev    = 1.61e-03 s

Begin point on the trajectory:
  Lon =    -1.446000 +/- 0.0006 deg
  Lat =    52.001744 +/- 0.0012 deg
  Ht  = 110677.38 +/- 118.62 m
End point on the trajectory:
  Lon =    -1.655183 +/- 0.0006 deg
  Lat =    51.903111 +/- 0.0011 deg
  Ht  = 100912.90 +/- 120.38 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   110675.66,   102501.61,          0.003826,     10.63,      2.80,              36.62, 0.3559,    True,    True, {"ff_name": "FF_UK000S_20210813_220215_188_0170240.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   6.898275,  11.705836,   110677.38,   100912.90,          0.045872,     68.91,     82.85,              22.66, 0.1484,    True,    True, {"ff_name": "FF_UK0027_20210813_220218_435_0164096.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   110670.00,   102492.77,          0.043114,     66.49,     79.39,              22.66, 0.1484,    True,    True, {"ff_name": "FF_UK002W_20210813_220211_115_0165120.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,     UK000S,       0,  0.000000, 2459440.418260417879,  74.96190,  76.78271,               10.15522,  39.70566,        10.15599,       39.71056,     74.96190,     +76.78271,      74.94922,      +76.78670,  1478973.43, -3719737.26,  5090175.26,      52.001727,       -1.446032,  110675.66,  171098.78,       0.00,              496.42,   761.95,      0.00,           61601.06,     -3.75,    -14.25,          17.76,  +4.17,  +3.00
  1,     UK000S,       0,  0.040004, 2459440.418260880746,  76.30707,  77.00689,                9.66746,  39.75628,         9.66724,       39.75477,     76.30707,     +77.00689,      76.31108,      +77.00563,  1477853.82, -3720446.91,  5088869.69,      51.992913,       -1.464842,  109798.33,  169606.77,    1860.55,             2356.98,    -1.53,  46509.20,           61601.06,      1.15,      4.35,           5.48,  +2.73,  +1.58
  2,     UK000S,       0,  0.080012, 2459440.418261344079,  78.47999,  77.33166,                8.91561,  39.82340,         8.91496,       39.81870,     78.47999,     +77.33166,      78.49193,      +77.32767,  1476164.94, -3721517.40,  5086900.29,      51.979607,       -1.493127,  108475.70,  167371.16,    4667.11,             5163.53,   180.72,  70149.90,           61601.06,      3.52,     13.35,          17.02,  +2.71,  +1.59
  3,     UK000S,       0,  0.120028, 2459440.418261806946,  80.67947,  77.61704,                8.19467,  39.87413,         8.19481,       39.87525,     80.67947,     +77.61704,      80.67733,      +77.61800,  1474592.71, -3722513.94,  5085066.93,      51.967209,       -1.519465,  107245.26,  165305.78,    7279.81,             7776.23,   168.59,  65291.39,           61601.06,     -0.82,     -3.12,           4.03,  +2.20,  +1.11
  4,     UK000S,       0,  0.160040, 2459440.418262270279,  82.82315,  77.87270,                7.51736,  39.92279,         7.51754,       39.92428,     82.82315,     +77.87270,      82.82045,      +77.87402,  1473152.11, -3723427.06,  5083387.05,      51.955841,       -1.543609,  106118.52,  163427.18,    9673.79,            10170.21,   -62.00,  59831.45,           61901.12,     -1.08,     -4.12,           5.37,  +1.65,  +0.58
  5,     UK000S,       0,  0.200044, 2459440.418262733147,  85.06841,  78.12273,                6.83019,  39.97719,         6.82941,       39.96999,     85.06841,     +78.12273,      85.08471,      +78.11624,  1471723.49, -3724332.57,  5081721.16,      51.944558,       -1.567549,  105001.83,  161577.90,   12047.83,            12544.26,  -311.99,  59345.24,           61621.78,      5.20,     19.72,          26.03,  +2.17,  +1.13
  6,     UK000S,       0,  0.240068, 2459440.418263196480,  87.77073,  78.36628,                6.04594,  40.01434,         6.04620,       40.01699,     87.77073,     +78.36628,      87.76647,      +78.36873,  1470137.09, -3725338.10,  5079871.26,      51.932018,       -1.594110,  103762.58,  159541.03,   14684.10,            15180.52,  -301.08,  65867.11,           61977.04,     -1.89,     -7.18,           9.60,  +2.88,  +1.87
  7,     UK000S,       0,  0.280076, 2459440.418263659347,  90.68101,  78.60699,                5.22721,  40.06273,         5.22702,       40.06045,     90.68101,     +78.60699,      90.68625,      +78.60485,  1468521.80, -3726361.94,  5077987.68,      51.919239,       -1.621147,  102501.61,  157485.64,   17368.36,            17864.78,  -241.12,  67093.05,           62551.35,      1.60,      6.08,           8.23,  +3.63,  +2.64
  0,     UK0027,       0,  0.014637, 2459440.418260430917,   9.75601,  63.15216,               42.15648,  48.65880,        42.11693,       48.64788,      9.75601,     +63.15216,       9.80006,      +63.17233,  1478975.62, -3719735.87,  5090177.82,      52.001744,       -1.446000,  110677.38,  146414.10,       0.00,              492.78,  -201.80,      0.00,           67989.53,     55.61,     46.31,         101.95,  +3.57,  +2.74
  1,     UK0027,       0,  0.054397, 2459440.418260890990,   9.06920,  63.45659,               41.89798,  49.05749,        41.85805,       49.04645,      9.06920,     +63.45659,       9.11353,      +63.47703,  1477286.88, -3720806.26,  5088208.59,      51.988447,       -1.474285,  109354.24,  143822.56,    2806.32,             3299.10,    -3.52,  70581.50,           67989.53,     54.79,     45.63,         102.26,  +1.77,  +0.98
  2,     UK0027,       0,  0.094141, 2459440.418261351064,   8.33516,  63.72132,               41.69543,  49.45650,        41.60356,       49.43118,      8.33516,     +63.72132,       8.43603,      +63.76855,  1475710.81, -3721805.24,  5086370.74,      51.976027,       -1.500690,  108120.21,  141411.25,    5425.42,             5918.20,     8.60,  65899.18,           67989.53,    123.14,    102.33,         233.54,  +1.80,  +1.05
  3,     UK0027,       0,  0.133913, 2459440.418261811137,   7.63961,  64.05162,               41.37626,  49.85666,        41.32650,       49.84286,      7.63961,     +64.05162,       7.69427,      +64.07728,  1474078.95, -3722839.58,  5084467.84,      51.963156,       -1.528018,  106843.36,  138923.02,    8137.21,             8629.99,   111.56,  68183.39,           67989.53,     65.07,     54.19,         125.73,  +1.52,  +0.81
  4,     UK0027,       0,  0.173673, 2459440.418262271676,   6.90624,  64.32881,               41.13004,  50.24882,        41.06105,       50.22968,      6.90624,     +64.32881,       6.98129,      +64.36453,  1472595.59, -3723779.80,  5082738.10,      51.951446,       -1.552871,  105683.43,  136668.40,   10602.25,            11095.03,   -31.43,  61998.03,           66740.88,     88.18,     73.39,         173.14,  +1.58,  +0.90
  5,     UK0027,       0,  0.213441, 2459440.418262731750,   6.16021,  64.66208,               40.78940,  50.65774,        40.76647,       50.65133,      6.16021,     +64.66208,       6.18560,      +64.67399,  1471029.33, -3724772.56,  5080911.70,      51.939072,       -1.579098,  104459.48,  134296.41,   13205.03,            13697.81,   -37.21,  65449.07,           66199.57,     28.59,     23.85,          57.18,  +1.55,  +0.91
  6,     UK0027,       0,  0.253185, 2459440.418263191823,   5.34673,  64.94325,               40.52582,  51.07164,        40.47659,       51.05790,      5.34673,     +64.94325,       5.39983,      +64.96893,  1469567.74, -3725698.98,  5079207.35,      51.927515,       -1.603580,  103318.02,  132090.72,   15633.88,            16126.66,  -215.35,  61112.32,           65461.45,     59.96,     49.96,         121.87,  +2.09,  +1.49
  7,     UK0027,       0,  0.292921, 2459440.418263651896,   4.46880,  65.25930,               40.20515,  51.51469,        40.15473,       51.50058,      4.46880,     +65.25930,       4.52270,      +65.28571,  1468026.49, -3726675.89,  5077410.10,      51.915319,       -1.629383,  102115.11,  129774.03,   18195.10,            18687.88,  -260.59,  64456.08,           65070.16,     59.87,     49.90,         123.88,  +2.70,  +2.13
  8,     UK0027,       0,  0.332613, 2459440.418264111038,   3.46294,  65.54334,               39.93831,  51.99291,        39.81452,       51.95840,      3.46294,     +65.54334,       3.59137,      +65.60849,  1466485.15, -3727652.86,  5075612.75,      51.903111,       -1.655183,  100912.90,  127466.88,   20756.49,            21249.27,  -302.78,  64531.49,           64851.71,    143.20,    119.02,         301.31,  +4.25,  +3.72
  0,     UK002W,       0,  0.001543, 2459440.418260413222,   9.85319,  63.19963,               42.06505,  48.63584,        42.11574,       48.64996,      9.85319,     +63.19963,       9.79642,      +63.17383,  1478966.20, -3719741.84,  5090166.84,      52.001670,       -1.446150,  110670.00,  146399.85,       0.00,              508.43,   672.75,      0.00,           60520.10,    -71.24,    -59.59,         130.85,  +4.81,  +3.98
  1,     UK002W,       0,  0.041303, 2459440.418260873295,   9.40027,  63.39978,               41.89685,  48.89887,        41.94468,       48.91221,      9.40027,     +63.39978,       9.34711,      +63.37538,  1477852.17, -3720447.95,  5088867.77,      51.992900,       -1.464867,  109797.05,  144687.63,    1851.28,             2359.70,   -84.01,  46561.25,           60520.10,    -66.15,    -55.33,         122.94,  +3.09,  +2.29
  2,     UK002W,       0,  0.080931, 2459440.418261331972,   8.69714,  63.70091,               41.63881,  49.29914,        41.68234,       49.31129,      8.69714,     +63.70091,       8.64930,      +63.67861,  1476199.13, -3721495.73,  5086940.16,      51.979876,       -1.492554,  108502.46,  142156.19,    4598.29,             5106.72,    63.62,  69320.01,           60520.10,    -58.76,    -49.14,         111.14,  +2.64,  +1.88
  3,     UK002W,       0,  0.120587, 2459440.418261791114,   8.03258,  63.98461,               41.38454,  49.67200,        41.43190,       49.68525,      8.03258,     +63.98461,       7.98102,      +63.96026,  1474700.46, -3722445.65,  5085192.58,      51.968059,       -1.517666,  107329.55,  139868.00,    7088.75,             7597.18,   -47.13,  62801.69,           60520.10,    -62.52,    -52.30,         120.21,  +1.78,  +1.05
  4,     UK002W,       0,  0.160203, 2459440.418262249324,   7.30733,  64.30231,               41.08202,  50.07568,        41.15251,       50.09549,      7.30733,     +64.30231,       7.23105,      +64.26593,  1473107.81, -3723455.13,  5083335.40,      51.955491,       -1.544338,  106083.89,  137444.65,    9735.39,            10243.82,     0.92,  66807.29,           62297.21,    -90.81,    -76.05,         177.77,  +1.88,  +1.19
  5,     UK002W,       0,  0.199851, 2459440.418262708467,   6.62044,  64.59378,               40.79655,  50.44909,        40.88883,       50.47511,      6.62044,     +64.59378,       6.52126,      +64.54600,  1471681.06, -3724359.47,  5081671.67,      51.944222,       -1.568246,  104968.67,  135280.58,   12106.34,            12614.77,  -228.81,  59800.11,           62448.93,   -116.24,    -97.45,         231.28,  +1.81,  +1.15
  6,     UK002W,       0,  0.239451, 2459440.418263166677,   5.78835,  64.90656,               40.49520,  50.88190,        40.58362,       50.90687,      5.78835,     +64.90656,       5.69452,      +64.86058,  1470108.26, -3725356.37,  5079837.65,      51.931790,       -1.594579,  103740.07,  132903.99,   14719.99,            15228.42,  -212.70,  66001.25,           62883.17,   -108.64,    -91.06,         220.00,  +1.91,  +1.29
  7,     UK002W,       0,  0.279039, 2459440.418263624888,   4.80766,  65.18965,               40.25052,  51.35907,        40.25613,       51.36065,      4.80766,     +65.18965,       4.80291,      +65.18672,  1468510.47, -3726369.12,  5077974.47,      51.919150,       -1.621323,  102492.77,  130499.31,   17375.18,            17883.61,  -154.27,  67070.55,           63412.57,     -6.71,     -5.61,          13.82,  +3.51,  +2.93

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.