Orbital Analysis for matched events on 20210810_003037.625_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.25° Bg 40.04° Vg 60.36km/s
mass 0.08297g, abs. mag -2.0
Path Details
------------
start 3.34° 52.86° 106.51km
end   3.19° 52.78° 90.81km

Orbit Details
-------------
Semimajor axis -6.43A.U., eccentricity 1.15, inclination 111.18°, Period 1000000000.00Y, LA Sun 137.33°, 

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: 2459436.521268810146
Time: 2021-08-10 00:30:37.659998 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002F
 Convergence angle = 27.77744 deg
 R.A. =  48.36553  Dec = +57.61097 deg
Intersection 2 - Stations: UK000Z and UK002K
 Convergence angle = 14.69179 deg
 R.A. =  49.17873  Dec = +61.16213 deg
Intersection 3 - Stations: UK000Z and UK0032
 Convergence angle = 5.32817 deg
 R.A. =  51.27675  Dec = +67.65527 deg
Intersection 4 - Stations: UK002F and UK002K
 Convergence angle = 42.44971 deg
 R.A. =  47.41514  Dec = +58.85697 deg
Intersection 5 - Stations: UK002F and UK0032
 Convergence angle = 33.03477 deg
 R.A. =  47.13801  Dec = +59.20293 deg
Intersection 6 - Stations: UK002K and UK0032
 Convergence angle = 9.41768 deg
 R.A. =  46.61114  Dec = +57.68406 deg

Best intersection: Stations UK002F and UK002K with Qconv = 42.45 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3388411.79 +/- 213.53 m
 Y =  -1978138.24 +/- 233.81 m
 Z =   5147879.76 +/- 77.35 m
 Vx =    21084.55 +/- 1229.58 m/s
 Vy =    22552.80 +/- 1576.16 m/s
 Vz =    53043.41 +/- 1799.63 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000Z: -0.000357 s
    UK002F: -0.000930 s
    UK002K: 0.000000 s
    UK0032: -0.000759 s

Reference point on the trajectory:
  Time: 2021-08-10 00:30:37.659998 UTC
  Lon     = ++3.352749 +/- 0.0045 deg
  Lat     = +52.868681 +/- 0.0007 deg
  Lat geo = +52.686396 +/- 0.0007 deg
  Ht      =  108008.57 +/- 81.61 m

  JD dynamic   = 2459436.522069953848 
  LST apparent = 329.7238261681 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.92708 +/- 0.5874 deg
  Dec       = +59.79860 +/- 1.4691 deg
  Azimuth   =  48.57361 +/- 1.9328 deg
  Elevation = +49.13865 +/- 0.8059 deg
  Vavg      =  59.98299 +/- 1.3951 km/s
  Vinit     =  61.37418 +/- 1.1872 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.04363 +/- 0.5874 deg
  Dec       = +59.57396 +/- 1.4691 deg
  Azimuth   =  48.84230 +/- 1.9328 deg
  Elevation = +48.98722 +/- 0.8059 deg
  Vavg      =  60.12384 +/- 1.3951 km/s
  Vinit     =  61.51504 +/- 1.1872 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.13416 +/- 0.5663 deg
  Dec    = +59.56143 +/- 1.4755 deg
  Vg     =  60.36248 +/- 1.2076 km/s
  Vinf   =  61.37418 +/- 1.1872 km/s
  Zc     =  40.98215 +/- 0.8017 deg
  Zg     =  41.33804 +/- 0.7957 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.24528 +/- 0.5982 deg
  Bg     = +40.04161 +/- 1.4324 deg
  Vh     =  43.45255 +/- 0.3612 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.78662 +/- 3.6870 deg
  Bh     = +63.34604 +/- 2.0231 deg
  Vh_x   =  -1.09267 +/- 1.2076 km/s
  Vh_y   = -19.46221 +/- 1.5199 km/s
  Vh_z   = -38.83494 +/- 0.3657 km/s
Orbit:
  La Sun = 137.329544 +/- -0.0000 deg
  a      =  -6.432010 +/- 2.4344 AU
  e      =   1.145615 +/- 0.0329
  i      = 111.183667 +/- 2.6704 deg
  peri   = 149.029606 +/- 0.7792 deg
  node   = 137.329062 +/- 0.0002 deg
  Pi     = 286.358669 +/- 0.7792 deg
  q      =   0.936596 +/- 0.0034 AU
  f      =  30.966497 +/- 0.7793 deg
  M      =        nan +/- nan deg
  Q      = -13.800615 +/- 4.8681 AU
  n      =   0.060421 +/- 0.0187 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.258218 +/- 0.2400
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 7.454110
 a2 = 11.387526

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 8.290e-07 s
  Stddev    = 9.10e-04 s

Begin point on the trajectory:
  Lon =     3.338517 +/- 0.0044 deg
  Lat =    52.861080 +/- 0.0003 deg
  Ht  = 106506.26 +/- 119.31 m
End point on the trajectory:
  Lon =     3.188164 +/- 0.0059 deg
  Lat =    52.781292 +/- 0.0004 deg
  Ht  = 90814.15 +/- 70.12 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,  11.950747,   9.923687,   103664.66,    90814.15,          0.016371,     36.88,     93.10,              48.96, 0.5688,    True,    True, {"ff_name": "FF_UK000Z_20210810_003038_768_0366080.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   9.282202,  11.161725,   103418.06,    92615.55,          0.011350,      6.53,     67.97,              36.37, 0.3517,    True,    True, {"ff_name": "FF_UK002F_20210810_003035_495_0355072.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   106383.89,    97202.01,          0.018094,     53.18,     71.35,              53.26, 0.6422,    True,   False, {"ff_name": "FF_UK002K_20210810_003029_937_0370944.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   106506.26,    97420.51,          0.017278,     34.67,     66.77,              42.71, 0.4601,    True,   False, {"ff_name": "FF_UK0032_20210810_003037_428_0377344.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,     UK000Z,       0,  0.103791, 2459436.521270015277,  43.65586,  10.86164,               92.15227,  15.24641,        92.15265,       15.24672,     43.65586,     +10.86164,      43.65541,      +10.86166,  3386438.15, -1980249.31,  5142914.59,      52.846684,       +3.311298,  103664.66,  358292.75,       0.00,             5744.98,  -327.03,      0.00,           63353.53,     -2.77,     -1.10,           1.71,  +2.81,  +0.04
  1,     UK000Z,       0,  0.144007, 2459436.521270480473,  43.64482,  10.50035,               92.38980,  14.96703,        92.39289,       14.96952,     43.64482,     +10.50035,      43.64106,      +10.50050,  3385414.03, -1981344.75,  5140338.15,      52.835253,       +3.289767,  101411.44,  356333.13,    2981.08,             8726.05,   185.82,  74126.67,           63353.53,    -22.50,     -8.91,          14.01,  +1.69,  -1.07
  2,     UK000Z,       0,  0.184155, 2459436.521270945203,  43.61310,  10.22290,               92.59055,  14.76627,        92.57765,       14.75588,     43.61310,     +10.22290,      43.62995,      +10.22228,  3384632.46, -1982180.75,  5138371.91,      52.826521,       +3.273293,   99692.23,  354844.68,    5256.13,            11001.11,    -3.17,  56666.72,           63353.53,     93.47,     37.09,          58.45,  +1.57,  -1.18
  3,     UK000Z,       0,  0.224359, 2459436.521271410864,  43.64105,   9.91646,               92.76107,  14.50657,        92.77969,       14.52153,     43.64105,      +9.91646,      43.61782,       +9.91734,  3383783.34, -1983088.99,  5136235.76,      52.817027,       +3.255407,   97824.83,  353238.11,    7727.78,            13472.75,     0.98,  61477.57,           63353.53,   -134.28,    -53.14,          84.33,  +1.35,  -1.39
  4,     UK000Z,       0,  0.264495, 2459436.521271875128,  43.59835,   9.65312,               92.96111,  14.32332,        92.95467,       14.31814,     43.59835,      +9.65312,      43.60727,       +9.65281,  3383052.83, -1983870.37,  5134397.97,      52.808852,       +3.239994,   96218.56,  351862.53,    9854.20,            15599.17,  -335.91,  52980.37,           60870.92,     46.29,     18.36,          29.19,  +1.13,  -1.60
  5,     UK000Z,       0,  0.304671, 2459436.521272340324,  43.57808,   9.34235,               93.17249,  14.08882,        93.15996,       14.07875,     43.57808,      +9.34235,      43.59494,       +9.34175,  3382201.16, -1984781.35,  5132255.39,      52.799314,       +3.222051,   94346.27,  350270.15,   12333.29,            18078.26,  -322.59,  61705.72,           60280.39,     89.72,     35.60,          56.84,  +1.09,  -1.63
  6,     UK000Z,       0,  0.344859, 2459436.521272805519,  43.56500,   9.02007,               93.38486,  13.84071,        93.37218,       13.83053,     43.56500,      +9.02007,      43.58220,       +9.01946,  3381326.85, -1985716.54,  5130055.84,      52.789514,       +3.203632,   92424.61,  348646.57,   14878.29,            20623.26,  -244.10,  63327.32,           60396.01,     90.34,     35.85,          57.50,  +0.99,  -1.72
  7,     UK000Z,       0,  0.385043, 2459436.521273270249,  43.59780,   8.74602,               93.52959,  13.60326,        93.55128,       13.62064,     43.59780,      +8.74602,      43.57139,       +8.74704,  3380593.99, -1986500.44,  5128212.16,      52.781292,       +3.188164,   90814.15,  347292.50,   17011.53,            22756.51,  -577.11,  53087.01,           59834.94,   -153.97,    -60.92,          98.35,  +2.72,  +0.02
  0,     UK002F,       0,  0.101143, 2459436.521269928664,  61.42404,  24.95064,               69.36142,  15.65810,        69.37150,       15.66311,     61.42404,     +24.95064,      61.41228,      +24.94831,  3386326.08, -1980369.19,  5142632.63,      52.845434,       +3.308992,  103418.06,  350277.14,       0.00,             6071.22,   161.72,      0.00,           60656.94,    -66.45,      6.41,          39.31,  +2.80,  +0.08
  1,     UK002F,       0,  0.141279, 2459436.521270393394,  61.45831,  24.74687,               69.47124,  15.48120,        69.46920,       15.48018,     61.45831,     +24.74687,      61.46085,      +24.74734,  3385596.79, -1981149.26,  5140797.93,      52.837294,       +3.293611,  101813.50,  348557.63,    2122.84,             8194.06,  -178.75,  52891.28,           60656.94,     13.41,     -1.29,           7.97,  +1.34,  -1.37
  2,     UK002F,       0,  0.181459, 2459436.521270858124,  61.53149,  24.49974,               69.58104,  15.24819,        69.59041,       15.25284,     61.53149,     +24.49974,      61.52091,      +24.49758,  3384701.07, -1982107.36,  5138544.53,      52.827288,       +3.274756,   99843.15,  346454.30,    4730.16,            10801.38,   -37.44,  64890.95,           60656.94,    -61.19,      5.91,          36.60,  +1.17,  -1.53
  3,     UK002F,       0,  0.221619, 2459436.521271322854,  61.55594,  24.24869,               69.72847,  15.04018,        69.70872,       15.03037,     61.55594,     +24.24869,      61.57944,      +24.25322,  3383835.08, -1983033.65,  5136365.92,      52.817605,       +3.256518,   97938.61,  344427.07,    7250.93,            13322.15,    18.54,  62768.08,           60656.94,    128.34,    -12.28,          77.21,  +1.45,  -1.24
  4,     UK002F,       0,  0.261791, 2459436.521271788049,  61.64300,  24.03173,               69.80745,  14.82210,        69.81676,       14.82672,     61.64300,     +24.03173,      61.63284,      +24.02959,  3383051.21, -1983872.11,  5134393.90,      52.808834,       +3.239992,   96215.01,  342596.79,    9532.68,            15603.89,  -165.24,  56799.41,           60237.45,    -60.23,      5.82,          36.43,  +1.32,  -1.35
  5,     UK002F,       0,  0.301939, 2459436.521272252779,  61.69005,  23.81834,               69.91294,  14.62981,        69.91931,       14.63297,     61.69005,     +23.81834,      61.68349,      +23.81688,  3382313.19, -1984661.52,  5132537.22,      52.800569,       +3.224421,   94592.52,  340877.99,   11680.96,            17752.17,  -481.01,  53509.03,           59156.80,    -41.02,      3.96,          24.94,  +1.52,  -1.14
  6,     UK002F,       0,  0.342115, 2459436.521272717509,  61.73609,  23.55286,               70.05292,  14.39766,        70.04557,       14.39401,     61.73609,     +23.55286,      61.74563,      +23.55454,  3381413.73, -1985623.61,  5130274.41,      52.790488,       +3.205477,   92615.55,  338792.27,   14299.15,            20370.37,  -328.59,  65168.08,           59415.10,     47.08,     -4.52,          28.79,  +1.26,  -1.39
  0,     UK002K,       1,  0.000000, 2459436.521268810146,  31.48494,   8.42043,              105.10400,  21.19826,       105.09387,       21.18878,     31.48494,      +8.42043,      31.49787,       +8.41818,  3388453.24, -1978093.90,  5147984.03,      52.869142,       +3.353758,  108099.82,  284039.23,       0.00,              120.66,   418.75,      0.00,           60826.81,     53.21,     39.63,          48.18,  +5.86,  +3.59
  1,     UK002K,       0,  0.040232, 2459436.521269275807,  31.39642,   8.06443,              105.40156,  20.95884,       105.37226,       20.93142,     31.39642,      +8.06443,      31.43476,       +8.05790,  3387673.73, -1978927.69,  5146022.99,      52.860460,       +3.337335,  106383.89,  282659.43,    2269.04,             2148.38,   -22.73,  56398.86,           60826.81,    153.24,    114.25,         139.48,  +2.94,  +0.68
  2,     UK002K,       0,  0.080524, 2459436.521269741934,  31.36196,   7.65797,              105.68268,  20.64688,       105.68043,       20.64479,     31.36196,      +7.65797,      31.36485,       +7.65747,  3386816.24, -1979844.89,  5143865.76,      52.850901,       +3.319283,  104496.67,  281156.02,    4765.07,             4644.41,     0.42,  61948.56,           60826.81,     11.67,      8.68,          10.67,  +1.57,  -0.67
  3,     UK002K,       0,  0.120804, 2459436.521270208061,  31.27479,   7.24396,              106.01293,  20.35846,       105.99967,       20.34611,     31.27479,      +7.24396,      31.29230,       +7.24102,  3385934.06, -1980788.51,  5141646.41,      52.841059,       +3.300714,  102555.51,  279624.52,    7332.99,             7212.33,    96.18,  63751.68,           60826.81,     68.59,     51.09,          63.09,  +1.14,  -1.09
  4,     UK002K,       0,  0.161080, 2459436.521270674188,  31.21102,   6.83703,              106.31749,  20.06196,       106.30954,       20.05458,     31.21102,      +6.83703,      31.22172,       +6.83527,  3385083.70, -1981698.08,  5139507.13,      52.831563,       +3.282805,  100684.78,  278162.46,    9808.26,             9687.60,    99.54,  61457.63,           61282.88,     40.88,     30.45,          37.80,  +0.88,  -1.34
  5,     UK002K,       0,  0.201344, 2459436.521271140315,  31.15359,   6.45299,              106.60157,  19.78017,       106.60065,       19.77932,     31.15359,      +6.45299,      31.15523,       +6.45279,  3384290.16, -1982546.88,  5137510.79,      52.822695,       +3.266080,   98939.40,  276810.50,   12118.13,            11997.47,   -61.75,  57368.23,           60854.05,      4.68,      3.48,           4.35,  +0.99,  -1.22
  6,     UK002K,       0,  0.241604, 2459436.521271606442,  31.08196,   6.06927,              106.89681,  19.50632,       106.89230,       19.50213,     31.08196,      +6.06927,      31.08848,       +6.06827,  3383500.11, -1983391.95,  5135523.21,      52.813858,       +3.249426,   97202.01,  275477.17,   14417.87,            14297.21,  -232.94,  57122.21,           60301.19,     23.00,     17.13,          21.48,  +1.04,  -1.16
  0,     UK0032,       0,  0.033918, 2459436.521269212943,  39.80908,  17.70380,               92.09781,  23.95831,        92.12160,       23.97965,     39.80908,     +17.70380,      39.77698,      +17.70662,  3387729.33, -1978868.22,  5146162.86,      52.861080,       +3.338517,  106506.26,  252000.93,       0.00,             1986.55,   202.93,      0.00,           60013.83,   -118.92,    -61.71,         109.66,  +2.43,  +0.42
  1,     UK0032,       0,  0.074126, 2459436.521269678138,  39.75230,  17.33308,               92.39940,  23.70481,        92.40872,       23.71316,     39.75230,     +17.33308,      39.73975,      +17.33418,  3386895.62, -1979759.99,  5144065.46,      52.851787,       +3.320962,  104671.35,  250204.14,    2426.81,             4413.36,   162.01,  60356.41,           60013.83,    -46.27,    -24.04,          42.99,  +1.83,  -0.16
  2,     UK0032,       0,  0.114338, 2459436.521270143799,  39.72197,  16.98032,               92.66624,  23.44895,        92.67931,       23.46063,     39.72197,     +16.98032,      39.70462,      +16.98186,  3386117.68, -1980592.10,  5142108.35,      52.843108,       +3.304567,  102959.51,  248536.58,    4691.29,             6677.84,   -41.49,  56313.53,           60013.83,    -64.42,    -33.47,          60.25,  +1.04,  -0.94
  3,     UK0032,       0,  0.154574, 2459436.521270609461,  39.67615,  16.57038,               92.98374,  23.15749,        92.99305,       23.16580,     39.67615,     +16.57038,      39.66400,      +16.57148,  3385224.71, -1981547.25,  5139861.87,      52.833138,       +3.285771,  100994.96,  246635.85,    7290.60,             9277.15,    88.37,  64601.59,           60013.83,    -45.59,    -23.69,          42.97,  +0.94,  -1.02
  4,     UK0032,       0,  0.194786, 2459436.521271074656,  39.63520,  16.20413,               93.26636,  22.89668,        93.27229,       22.90195,     39.63520,     +16.20413,      39.62774,      +16.20483,  3384438.18, -1982388.55,  5137883.16,      52.824349,       +3.269193,   99264.94,  244971.17,    9580.07,            11566.62,   -90.14,  56934.99,           59733.77,    -28.79,    -14.97,          27.32,  +0.91,  -1.04
  5,     UK0032,       0,  0.235022, 2459436.521271540318,  39.60421,  15.80688,               93.56089,  22.60525,        93.57300,       22.61601,     39.60421,     +15.80688,      39.58874,      +15.80830,  3383599.47, -1983285.66,  5135773.19,      52.814970,       +3.251523,   97420.51,  243208.04,   12021.43,            14007.97,  -118.23,  60675.96,           59788.42,    -58.41,    -30.35,          55.83,  +0.74,  -1.19

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.