Orbital Analysis for matched events on 20210810_015033.052_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 59.91° Bg 39.10° Vg 59.14km/s
mass 0.04216g, abs. mag -1.5
Path Details
------------
start -1.98° 52.31° 107.71km
end   -2.07° 52.27° 95.65km

Orbit Details
-------------
Semimajor axis 31.59A.U., eccentricity 0.97, inclination 112.45°, Period 177.54Y, LA Sun 137.38°, last Perihelion 2021-07-21

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: 2459436.576771446038
Time: 2021-08-10 01:50:33.052938 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 29.39564 deg
 R.A. =  42.15931  Dec = +56.05317 deg
Intersection 2 - Stations: UK000S and UK0029
 Convergence angle = 47.60445 deg
 R.A. =  44.15725  Dec = +59.30121 deg
Intersection 3 - Stations: UK000S and UK002Z
 Convergence angle = 71.97896 deg
 R.A. =  43.29456  Dec = +57.97362 deg
Intersection 4 - Stations: UK001Z and UK0029
 Convergence angle = 76.96216 deg
 R.A. =  45.70050  Dec = +57.77937 deg
Intersection 5 - Stations: UK001Z and UK002Z
 Convergence angle = 42.60781 deg
 R.A. =  46.05033  Dec = +57.93622 deg
Intersection 6 - Stations: UK0029 and UK002Z
 Convergence angle = 60.43043 deg
 R.A. =  45.53714  Dec = +57.94771 deg

Best intersection: Stations UK001Z and UK0029 with Qconv = 76.96 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3827595.64 +/- 55.81 m
 Y =  -1066670.48 +/- 19.75 m
 Z =   5109325.04 +/- 139.85 m
 Vx =    23352.42 +/- 758.15 m/s
 Vy =    21824.12 +/- 333.44 m/s
 Vz =    50981.00 +/- 632.78 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.568653e+03, +5.060532e+02, -4.673055e+03, +2.582977e+04, +1.129478e+04, -2.724384e+03
+5.060532e+02, +4.065918e+02, -4.818639e+02, +3.634865e+03, +3.040466e+03, -3.100673e+02
-4.673055e+03, -4.818639e+02, +1.031054e+04, -4.822994e+04, -2.091676e+04, +5.868906e+03
+2.582977e+04, +3.634865e+03, -4.822994e+04, +2.876295e+05, +1.127331e+05, -2.951832e+04
+1.129478e+04, +3.040466e+03, -2.091676e+04, +1.127331e+05, +6.073825e+04, -1.237636e+04
-2.724384e+03, -3.100673e+02, +5.868906e+03, -2.951832e+04, -1.237636e+04, +7.841740e+03

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK001Z: -0.000183 s
    UK0029: -0.000716 s
    UK002Z: -0.000055 s

Reference point on the trajectory:
  Time: 2021-08-10 01:50:33.052938 UTC
  Lon     = +-1.978623 +/- 0.0004 deg
  Lat     = +52.311570 +/- 0.0011 deg
  Lat geo = +52.128324 +/- 0.0011 deg
  Ht      =  107680.76 +/- 80.81 m

  JD dynamic   = 2459436.577572186943 
  LST apparent = 344.4279634454 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  43.06245 +/- 0.5988 deg
  Dec       = +57.91404 +/- 0.6420 deg
  Azimuth   =  56.58966 +/- 1.2671 deg
  Elevation = +57.08766 +/- 0.1571 deg
  Vavg      =  57.31461 +/- 0.2226 km/s
  Vinit     =  60.17217 +/- 0.3357 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  43.33072 +/- 0.5988 deg
  Dec       = +57.71460 +/- 0.6420 deg
  Azimuth   =  56.86719 +/- 1.2671 deg
  Elevation = +56.89443 +/- 0.1571 deg
  Vavg      =  57.44659 +/- 0.2226 km/s
  Vinit     =  60.30414 +/- 0.3357 km/s
Radiant (geocentric, J2000):
  R.A.   =  43.18539 +/- 0.6061 deg
  Dec    = +57.74539 +/- 0.6456 deg
  Vg     =  59.13988 +/- 0.3416 km/s
  Vinf   =  60.17217 +/- 0.3357 km/s
  Zc     =  33.01355 +/- 0.1594 deg
  Zg     =  33.30736 +/- 0.1603 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  59.90681 +/- 0.6770 deg
  Bg     = +39.09726 +/- 0.4951 deg
  Vh     =  41.49861 +/- 0.4598 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.47733 +/- 1.9182 deg
  Bh     = +63.99464 +/- 0.4063 deg
  Vh_x   =  -3.32291 +/- 0.6180 km/s
  Vh_y   = -17.88929 +/- 0.2426 km/s
  Vh_z   = -37.29701 +/- 0.4752 km/s
Orbit:
  La Sun = 137.382792 +/- -0.0000 deg
  a      =  31.588633 +/- 21.3086 AU
  e      =   0.969676 +/- 0.0416
  i      = 112.454866 +/- 0.7824 deg
  peri   = 152.631463 +/- 0.7842 deg
  node   = 137.382619 +/- 0.0001 deg
  Pi     = 290.014082 +/- 0.7842 deg
  q      =   0.957888 +/- 0.0037 AU
  f      =  27.364769 +/- 0.7842 deg
  M      =   0.106971 +/- nan deg
  Q      =  62.219379 +/- 42.6156 AU
  n      =   0.005551 +/- 0.0112 deg/day
  T      = 177.540276 +/- 339934560.3769 years
  Last perihelion JD = 2459417.308659 (2021-07-21 19:24:28.102786) +/- 0.4923 days
  Tj     =  -0.295206 +/- 0.2243
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.298608e-05, -1.491738e-06, +2.435006e-04, +7.937184e-10, -1.202772e-07, -1.166882e-05
q   , -1.491738e-06, +1.189469e-05, +1.772809e-03, -2.729619e-09, +4.946144e-05, +3.876372e-05
Tp  , +2.435006e-04, +1.772809e-03, +2.693812e-01, -4.014086e-07, +7.439814e-03, +5.695865e-03
node, +7.937184e-10, -2.729619e-09, -4.014086e-07, +7.929561e-13, -1.127812e-08, -1.126921e-08
peri, -1.202772e-07, +4.946144e-05, +7.439814e-03, -1.127812e-08, +2.065748e-04, +1.601002e-04
i   , -1.166882e-05, +3.876372e-05, +5.695865e-03, -1.126921e-08, +1.601002e-04, +1.601607e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.384982
 a2 = 29.276647

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 2.090e-06 s
  Stddev    = 1.45e-03 s

Begin point on the trajectory:
  Lon =    -1.978418 +/- 0.0002 deg
  Lat =    52.311653 +/- 0.0011 deg
  Ht  = 107707.04 +/- 86.88 m
End point on the trajectory:
  Lon =    -2.073586 +/- 0.0004 deg
  Lat =    52.273564 +/- 0.0010 deg
  Ht  = 95652.18 +/- 77.52 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,   107707.04,    96407.63,          0.007873,     15.76,     20.82,              46.55, 0.5270,    True,    True, {"ff_name": "FF_UK000S_20210810_015030_483_0497152.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.002502,  48.256895,   107246.84,    95652.18,          0.022420,     71.53,     29.13,              33.07, 0.2978,    True,    True, {"ff_name": "FF_UK001Z_20210810_015029_220_0493568.fits"}
    UK0029,   False,    -4.441783,    52.004778,  230.00,  33.927575,   0.000000,   105822.13,    97720.19,          0.019987,     15.49,     67.44,              28.87, 0.2331,    True,    True, {"ff_name": "FF_UK0029_20210810_015028_754_0477440.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.094343,  38.473348,   104965.79,    97282.47,          0.026265,     89.17,     30.52,              89.66, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210810_015033_122_0490752.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, 2459436.576771446038, 177.46940,  71.40035,              355.17332,  32.59962,       355.17676,       32.59710,    177.46940,     +71.40035,     177.45900,      +71.39835,  3827607.79, -1066659.13,  5109351.56,      52.311653,       -1.978418,  107707.04,  195983.73,       0.00,               31.30,   749.31,      0.00,           54418.10,     10.47,      7.93,          13.82,  +4.03,  +2.57
  1,     UK000S,       0,  0.040272, 2459436.576771912165, 178.10674,  71.04309,              354.86169,  32.28252,       354.85523,       32.28723,    178.10674,     +71.04309,     178.12586,      +71.04677,  3826867.09, -1067351.35,  5107734.53,      52.306605,       -1.991070,  106104.86,  194683.30,    1908.55,             1877.25,   172.00,  47391.57,           54418.10,    -19.52,    -14.79,          25.94,  +2.28,  +0.83
  2,     UK000S,       0,  0.080560, 2459436.576772378292, 178.82574,  70.65305,              354.50558,  31.94077,       354.50219,       31.94324,    178.82574,     +70.65305,     178.83584,      +70.65494,  3826058.40, -1068107.12,  5105969.06,      52.301089,       -2.004872,  104355.77,  193275.03,    3992.32,             3961.02,  -168.44,  51721.83,           54418.10,    -10.18,     -7.71,          13.62,  +1.20,  -0.23
  3,     UK000S,       0,  0.120924, 2459436.576772845350, 179.73043,  70.15512,              354.04534,  31.50865,       354.05516,       31.50153,    179.73043,     +70.15512,     179.70257,      +70.14975,  3825040.02, -1069058.85,  5103745.82,      52.294136,       -2.022216,  102153.44,  191519.04,    6616.38,             6585.07,    26.82,  65009.73,           54418.10,     29.30,     22.17,          39.57,  +0.67,  -0.74
  4,     UK000S,       0,  0.161268, 2459436.576773312408, 180.47621,  69.68682,              353.64352,  31.10001,       353.64927,       31.09586,    180.47621,     +69.68682,     180.46046,      +69.68374,  3824123.88, -1069915.03,  5101745.79,      52.287875,       -2.037840,  100172.47,  189956.69,    8976.98,             8945.68,   -40.16,  58511.91,           56208.13,     17.04,     12.89,          23.20,  +0.58,  -0.81
  5,     UK000S,       0,  0.201588, 2459436.576773779001, 181.12962,  69.24863,              353.27742,  30.71810,       353.27613,       30.71904,    181.12962,     +69.24863,     181.13397,      +69.24931,  3823288.66, -1070695.59,  5099922.40,      52.282162,       -2.052103,   98366.65,  188546.99,   11129.11,            11097.80,  -314.18,  53376.14,           56314.50,     -3.82,     -2.89,           5.23,  +0.60,  -0.78
  6,     UK000S,       0,  0.241924, 2459436.576774246059, 181.87749,  68.77407,              352.85644,  30.31138,       352.86866,       30.30260,    181.87749,     +68.77407,     181.84468,      +68.76778,  3822382.47, -1071542.48,  5097944.08,      52.275958,       -2.067569,   96407.63,  187033.55,   13464.09,            13432.79,  -406.30,  57888.38,           56521.17,     35.74,     27.03,          49.42,  +2.23,  +0.87
  0,     UK001Z,       0,  0.023239, 2459436.576771769673, 115.26760,  63.94153,               22.40892,  30.80687,        22.43451,       30.79276,    115.26760,     +63.94153,     115.24333,      +63.91769,  3827395.04, -1066857.95,  5108887.11,      52.310203,       -1.982120,  107246.84,  204674.32,       0.00,              516.88,  -163.48,      0.00,           61138.43,     35.15,     86.43,          94.03,  +3.82,  +2.26
  1,     UK001Z,       0,  0.063539, 2459436.576772236265, 116.04199,  63.76916,               22.18481,  30.47677,        22.19246,       30.47256,    116.04199,     +63.76916,     116.03473,      +63.76206,  3826451.45, -1067739.79,  5106827.15,      52.303770,       -1.998194,  105205.87,  202650.98,    2431.35,             2948.23,  -157.07,  60331.18,           61138.43,     10.41,     25.64,          28.17,  +2.33,  +0.80
  2,     UK001Z,       0,  0.103851, 2459436.576772702858, 116.87158,  63.60619,               21.92573,  30.14248,        21.93946,       30.13493,    116.87158,     +63.60619,     116.85827,      +63.59351,  3825477.92, -1068649.60,  5104701.82,      52.297127,       -2.014778,  103100.41,  200573.19,    4939.84,             5456.73,   -74.24,  62227.06,           61138.43,     18.54,     45.61,          50.63,  +1.51,  -0.00
  3,     UK001Z,       0,  0.144155, 2459436.576773168985, 117.69059,  63.44486,               21.66501,  29.81334,        21.69009,       29.79957,    117.69059,     +63.44486,     117.66561,      +63.42176,  3824531.70, -1069533.90,  5102636.10,      52.290663,       -2.030907,  101054.26,  198563.24,    7377.98,             7894.87,   -61.28,  60493.74,           61138.43,     33.64,     82.67,          92.72,  +1.28,  -0.21
  4,     UK001Z,       0,  0.184487, 2459436.576773636043, 118.53462,  63.24759,               21.40918,  29.44889,        21.42523,       29.44009,    118.53462,     +63.24759,     118.51862,      +63.23288,  3823539.75, -1070460.94,  5100470.55,      52.283880,       -2.047814,   98909.51,  196466.87,    9933.94,            10450.83,    67.82,  63373.02,           61557.46,     21.34,     52.46,          59.46,  +1.08,  -0.39
  5,     UK001Z,       0,  0.224783, 2459436.576774102170, 119.26301,  63.06425,               21.19096,  29.12397,        21.19286,       29.12293,    119.26301,     +63.06425,     119.26184,      +63.06251,  3822682.66, -1071261.93,  5098599.45,      52.278014,       -2.062449,   97056.59,  194663.99,   12142.38,            12659.27,  -148.44,  54805.43,           60712.93,      2.50,      6.16,           7.04,  +1.93,  +0.48
  6,     UK001Z,       0,  0.264991, 2459436.576774567831, 119.87080,  62.96483,               20.97475,  28.89993,        21.01393,       28.87847,    119.87080,     +62.96483,     119.82981,      +62.92916,  3822033.00, -1071869.08,  5097181.15,      52.273564,       -2.073586,   95652.18,  193302.19,   13816.38,            14333.26,  -893.84,  41633.37,           58372.69,     51.55,    126.42,         145.68,  +4.76,  +3.33
  0,     UK0029,       0,  0.047196, 2459436.576772000175,  60.49870,  31.01344,               77.71445,  30.72520,        77.73425,       30.73338,     60.49870,     +31.01344,      60.47793,      +31.00733,  3826736.38, -1067473.51,  5107449.17,      52.305713,       -1.993305,  105822.13,  202067.69,       0.00,             2214.07,    92.19,      0.00,           59944.07,    -64.91,     14.96,          67.99,  +2.72,  +1.19
  1,     UK0029,       0,  0.087408, 2459436.576772465371,  60.61219,  30.74074,               77.85583,  30.46243,        77.88018,       30.47248,     60.61219,     +30.74074,      60.58682,      +30.73322,  3825932.21, -1068225.05,  5105693.57,      52.300228,       -2.007032,  104082.86,  200256.00,    2072.11,             4286.17,  -255.35,  51529.52,           59944.07,    -79.25,     18.28,          83.77,  +1.40,  -0.11
  2,     UK0029,       0,  0.127660, 2459436.576772931498,  60.70985,  30.37476,               78.08258,  30.14198,        78.06724,       30.13564,     60.70985,     +30.37476,      60.72641,      +30.37948,  3824917.05, -1069173.77,  5103477.37,      52.293296,       -2.024321,  101887.53,  197978.98,    4687.86,             6901.93,   -61.64,  64984.52,           59944.07,     49.52,    -11.35,          52.93,  +0.91,  -0.57
  3,     UK0029,       0,  0.167916, 2459436.576773397159,  60.82837,  30.02704,               78.27767,  29.82129,        78.24741,       29.80877,     60.82837,     +30.02704,      60.86080,      +30.03633,  3823954.24, -1070073.57,  5101375.45,      52.286715,       -2.040733,   99805.68,  195826.84,    7168.73,             9382.79,    -3.07,  61627.16,           59944.07,     96.91,    -22.17,         104.71,  +0.45,  -1.01
  4,     UK0029,       0,  0.208204, 2459436.576773863751,  61.00335,  29.68672,               78.42438,  29.47116,        78.43070,       29.47377,     61.00335,     +29.68672,      60.99746,      +29.68477,  3822989.63, -1070975.05,  5099269.58,      52.280115,       -2.057181,   97720.19,  193678.67,    9654.25,            11868.32,    58.24,  61693.89,           60630.76,    -20.07,      4.62,          21.93,  +0.84,  -0.60
  0,     UK002Z,       0,  0.065673, 2459436.576772184577, 312.93791,   0.06373,              219.03933,  29.92220,       219.01152,       29.91790,    312.93791,      +0.06373,     312.95880,       +0.05072,  3826340.45, -1067843.53,  5106584.81,      52.303013,       -2.000047,  104965.79,  205489.01,       0.00,             3234.26,     0.55,      0.00,           58826.35,    -28.51,     83.05,          88.14,  +2.40,  +0.84
  1,     UK002Z,       0,  0.106237, 2459436.576772654429, 312.58945,  -0.54681,              219.14770,  29.22557,       219.15558,       29.22679,    312.58945,      -0.54681,     312.58386,       -0.54310,  3825364.82, -1068755.31,  5104454.89,      52.296354,       -2.016668,  102855.81,  205511.10,    2513.91,             5748.17,    73.64,  61973.91,           58826.35,      8.12,    -23.68,          25.13,  +0.66,  -0.90
  2,     UK002Z,       0,  0.146793, 2459436.576773123816, 312.22606,  -1.12918,              219.28233,  28.54935,       219.29455,       28.55124,    312.22606,      -1.12918,     312.21732,       -1.12339,  3824411.05, -1069646.66,  5102372.71,      52.289838,       -2.032927,  100793.39,  205562.65,    4971.48,             8205.74,    90.86,  60596.91,           58826.35,     12.67,    -36.97,          39.21,  +0.46,  -1.10
  3,     UK002Z,       0,  0.187273, 2459436.576773592271, 311.93750,  -1.65943,              219.35894,  27.94949,       219.41538,       27.95823,    311.93750,      -1.65943,     311.89527,       -1.63253,  3823573.65, -1070429.26,  5100544.56,      52.284112,       -2.047226,   98982.80,  205632.97,    7129.21,            10363.47,  -187.17,  53303.77,           58826.35,     58.76,   -171.86,         182.19,  -0.09,  -1.66
  4,     UK002Z,       0,  0.227745, 2459436.576774060726, 311.60123,  -2.11616,              219.51553,  27.39965,       219.52775,       27.40154,    311.60123,      -2.11616,     311.59273,       -2.11030,  3822787.16, -1071164.27,  5098827.57,      52.278729,       -2.060670,   97282.47,  205720.07,    9155.76,            12390.02,  -595.92,  50072.66,           56585.74,     12.82,    -37.40,          39.64,  +1.13,  -0.44

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.