Orbital Analysis for matched events on 20210813_232852.860_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.57° Bg 40.76° Vg 57.67km/s
mass 0.33330g, abs. mag -2.4
Path Details
------------
start -4.21° 48.26° 108.38km
end   -4.44° 48.07° 86.70km

Orbit Details
-------------
Semimajor axis 10.50A.U., eccentricity 0.91, inclination 109.60°, Period 34.01Y, LA Sun 141.13°, last Perihelion 2021-07-27

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: 2459440.478389594238
Time: 2021-08-13 23:28:52.901135 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK002D
 Convergence angle = 13.93462 deg
 R.A. =  46.44666  Dec = +60.09853 deg

Best intersection: Stations UK0021 and UK002D with Qconv = 13.93 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2817693.60 +/- 123.53 m
 Y =  -3283417.50 +/- 275.87 m
 Z =   4818077.07 +/- 168.82 m
 Vx =    20425.12 +/- 770.09 m/s
 Vy =    20597.30 +/- 853.62 m/s
 Vz =    51058.48 +/- 613.24 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.149302e+04, -2.254009e+04, -9.851496e+03, +1.577228e+04, -3.427221e+04, -1.769673e+04
-2.254009e+04, +5.188526e+04, +2.594543e+04, -3.740693e+04, +8.519283e+04, +4.331027e+04
-9.851496e+03, +2.594543e+04, +2.019649e+04, -2.605405e+04, +4.278843e+04, +2.702617e+04
+1.577228e+04, -3.740693e+04, -2.605405e+04, +5.074171e+04, -9.991863e+04, -6.002680e+04
-3.427221e+04, +8.519283e+04, +4.278843e+04, -9.991863e+04, +2.513019e+05, +1.322227e+05
-1.769673e+04, +4.331027e+04, +2.702617e+04, -6.002680e+04, +1.322227e+05, +7.539109e+04

Timing offsets (from input data):
    UK0021: 0.000088 s
    UK002D: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:28:52.901135 UTC
  Lon     = +-4.199982 +/- 0.0013 deg
  Lat     = +48.263819 +/- 0.0028 deg
  Lat geo = +48.075801 +/- 0.0028 deg
  Ht      =  109330.07 +/- 102.86 m

  JD dynamic   = 2459440.479190800339 
  LST apparent = 310.6348334881 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.24049 +/- 1.6427 deg
  Dec       = +60.39811 +/- 0.1444 deg
  Azimuth   =  38.98256 +/- 0.4575 deg
  Elevation = +38.49277 +/- 0.7385 deg
  Vavg      =  58.47154 +/- 0.5445 km/s
  Vinit     =  58.72310 +/- 0.6211 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.19098 +/- 1.6427 deg
  Dec       = +60.13201 +/- 0.1444 deg
  Azimuth   =  39.28698 +/- 0.4575 deg
  Elevation = +38.37216 +/- 0.7385 deg
  Vavg      =  58.62753 +/- 0.5445 km/s
  Vinit     =  58.87909 +/- 0.6211 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.67270 +/- 1.6211 deg
  Dec    = +60.04538 +/- 0.1482 deg
  Vg     =  57.66540 +/- 0.6321 km/s
  Vinf   =  58.72310 +/- 0.6211 km/s
  Zc     =  51.65348 +/- 0.7394 deg
  Zg     =  52.15750 +/- 0.7370 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.57372 +/- 0.9434 deg
  Bg     = +40.75780 +/- 0.4009 deg
  Vh     =  40.82741 +/- 0.4924 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.03753 +/- 1.3809 deg
  Bh     = +67.23835 +/- 1.1478 deg
  Vh_x   =  -1.91478 +/- 0.3484 km/s
  Vh_y   = -15.67958 +/- 0.9898 km/s
  Vh_z   = -37.64787 +/- 0.1116 km/s
Orbit:
  La Sun = 141.128060 +/- 0.0000 deg
  a      =  10.497401 +/- 3910.2007 AU
  e      =   0.907734 +/- 0.0443
  i      = 109.604168 +/- 0.6956 deg
  peri   = 155.182873 +/- 1.5634 deg
  node   = 141.127108 +/- 0.0001 deg
  Pi     = 296.309982 +/- 1.5634 deg
  q      =   0.968557 +/- 0.0077 AU
  f      =  24.813272 +/- 1.5633 deg
  M      =   0.518940 +/- nan deg
  Q      =  20.026246 +/- 7820.4020 AU
  n      =   0.028979 +/- 0.0076 deg/day
  T      =  34.011308 +/- 492421810.8320 years
  Last perihelion JD = 2459422.571645 (2021-07-27 01:43:10.110219) +/- 0.4871 days
  Tj     =   0.095924 +/- 0.2573
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.061503e-04, -1.073733e-04, -1.189005e-02, -1.127497e-08, -4.076020e-04, +1.569455e-04
q   , -1.073733e-04, +1.940339e-05, +2.171970e-03, +2.099109e-09, +7.396516e-05, -2.922507e-05
Tp  , -1.189005e-02, +2.171970e-03, +2.451784e-01, +2.376244e-07, +8.310565e-03, -3.309133e-03
node, -1.127497e-08, +2.099109e-09, +2.376244e-07, +2.657966e-13, +8.030635e-09, -3.700222e-09
peri, -4.076020e-04, +7.396516e-05, +8.310565e-03, +8.030635e-09, +2.824399e-04, -1.118204e-04
i   , +1.569455e-04, -2.922507e-05, -3.309133e-03, -3.700222e-09, -1.118204e-04, +5.151227e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.004077
 a2 = 17.977203

Mean time residuals from time vs. length:
  Station with reference time: UK002D
  Avg. res. = 4.315e-06 s
  Stddev    = 2.08e-03 s

Begin point on the trajectory:
  Lon =    -4.209919 +/- 0.0011 deg
  Lat =    48.255619 +/- 0.0025 deg
  Ht  = 108381.55 +/- 78.71 m
End point on the trajectory:
  Lon =    -4.440153 +/- 0.0017 deg
  Lat =    48.066752 +/- 0.0036 deg
  Ht  = 86697.57 +/- 88.16 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   105863.28,    88135.93,          0.008560,     45.38,      7.19,             114.36, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210813_232848_591_0290304.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   108381.55,    86697.57,          0.016719,    110.43,     46.67,             124.06, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_232843_633_0297728.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,     UK0021,       1,  0.074275, 2459440.478390452918, 300.38347, -18.96521,              190.98394,  19.67943,       190.96829,       19.67283,    300.38347,     -18.96521,     300.39836,      -18.97364,  2816329.45, -3284793.16,  4814666.97,      48.242711,       -4.225695,  106889.67,  299251.45,       0.00,             3922.01,   395.45,      0.00,           58732.09,    -13.23,     83.32,          58.15,  +4.96,  +2.58
  1,     UK0021,       0,  0.114527, 2459440.478390918579, 300.23544, -19.21928,              191.09655,  19.40950,       191.09584,       19.40920,    300.23544,     -19.21928,     300.23658,      -19.21967,  2815755.47, -3285371.97,  4813232.16,      48.233824,       -4.236622,  105863.28,  299921.36,    1650.19,             5572.20,  -318.08,  40996.57,           58732.09,     -0.60,      3.79,           2.64,  +2.97,  +0.58
  2,     UK0021,       1,  0.154947, 2459440.478391386569, 299.93668, -19.62503,              191.33619,  18.97042,       191.31057,       18.95964,    299.93668,     -19.62503,     299.96132,      -19.63891,  2814770.88, -3286364.87,  4810770.87,      48.218569,       -4.255246,  104103.21,  301086.71,    4480.95,             8402.96,   139.09,  70033.59,           58732.09,    -21.90,    137.62,          95.47,  +2.29,  -0.10
  3,     UK0021,       0,  0.195315, 2459440.478391853627, 299.72285, -20.00402,              191.49343,  18.56800,       191.49632,       18.56922,    299.72285,     -20.00402,     299.72094,      -20.00244,  2813910.01, -3287232.99,  4808618.88,      48.205221,       -4.271550,  102564.91,  302124.04,    6955.99,            10878.00,   243.60,  61312.00,           58732.09,      2.48,    -15.64,          10.81,  +1.47,  -0.93
  4,     UK0021,       0,  0.235639, 2459440.478392320685, 299.50229, -20.32052,              191.66443,  18.22637,       191.65985,       18.22444,    299.50229,     -20.32052,     299.50759,      -20.32303,  2813145.18, -3288004.27,  4806706.96,      48.193356,       -4.286052,  101198.68,  303059.95,    9154.92,            13076.92,    74.57,  54531.36,           58527.15,     -3.94,     24.85,          17.13,  +0.80,  -1.61
  5,     UK0021,       0,  0.275991, 2459440.478392787278, 299.27551, -20.67504,              191.83435,  17.84598,       191.83764,       17.84736,    299.27551,     -20.67504,     299.27355,      -20.67323,  2812303.52, -3288853.03,  4804603.00,      48.180290,       -4.301994,   99695.75,  304104.78,   11574.72,            15496.72,   124.77,  59967.29,           58674.33,      2.85,    -17.98,          12.35,  +0.88,  -1.54
  6,     UK0021,       0,  0.316323, 2459440.478393254336, 299.05949, -21.00294,              191.99599,  17.49305,       192.00276,       17.49590,    299.05949,     -21.00294,     299.05439,      -20.99921,  2811514.10, -3289649.10,  4802629.62,      48.168028,       -4.316957,   98286.59,  305099.17,   13844.32,            17766.33,    25.96,  56273.06,           58469.74,      5.89,    -37.12,          25.41,  +0.76,  -1.66
  7,     UK0021,       0,  0.356671, 2459440.478393721394, 298.82501, -21.34777,              192.17131,  17.12063,       192.17701,       17.12303,    298.82501,     -21.34777,     298.82108,      -21.34462,  2810671.21, -3290499.09,  4800522.58,      48.154928,       -4.332921,   96782.50,  306175.86,   16267.67,            20189.67,    79.95,  60061.11,           58517.09,      4.98,    -31.42,          21.43,  +0.59,  -1.84
  8,     UK0021,       0,  0.397007, 2459440.478394187987, 298.61512, -21.68856,              192.32183,  16.75521,       192.34392,       16.76449,    298.61512,     -21.68856,     298.59572,      -21.67630,  2809855.40, -3291321.78,  4798483.21,      48.142240,       -4.348376,   95327.24,  307232.74,   18613.17,            22535.18,    56.79,  58149.16,           58514.67,     19.37,   -122.31,          83.14,  +0.43,  -2.01
  9,     UK0021,       0,  0.437311, 2459440.478394654579, 298.39684, -21.98546,              192.48555,  16.43181,       192.49626,       16.43631,    298.39684,     -21.98546,     298.38842,      -21.97949,  2809103.97, -3292079.55,  4796604.80,      48.130547,       -4.362625,   93987.27,  308219.06,   20773.56,            24695.57,  -149.59,  53602.37,           58245.80,      9.45,    -59.61,          40.39,  +0.44,  -2.00
 10,     UK0021,       0,  0.477639, 2459440.478395121172, 298.16193, -22.30580,              192.65999,  16.08265,       192.65967,       16.08252,    298.16193,     -22.30580,     298.16423,      -22.30597,  2808288.69, -3292901.70,  4794566.78,      48.117853,       -4.378069,   92533.94,  309302.58,   23117.52,            27039.53,  -173.82,  58122.39,           58093.51,     -0.28,      1.76,           1.19,  +0.32,  -2.13
 11,     UK0021,       0,  0.517979, 2459440.478395588230, 297.92855, -22.64083,              192.82896,  15.71886,       192.82723,       15.71813,    297.92855,     -22.64083,     297.93238,      -22.64180,  2807443.23, -3293754.29,  4792453.30,      48.104681,       -4.394078,   91027.35,  310440.91,   25548.26,            29470.27,  -111.97,  60256.31,           58088.81,     -1.54,      9.72,           6.54,  +0.38,  -2.08
 12,     UK0021,       0,  0.558303, 2459440.478396054823, 297.71236, -22.96744,              192.98134,  15.36554,       192.98761,       15.36817,    297.71236,     -22.96744,     297.70865,      -22.96390,  2806625.60, -3294578.81,  4790409.40,      48.091934,       -4.409565,   89570.87,  311556.01,   27898.98,            31820.99,  -129.20,  58295.76,           58092.78,      5.62,    -35.40,          23.73,  +0.21,  -2.26
 13,     UK0021,       0,  0.598619, 2459440.478396521416, 297.49224, -23.28235,              193.13775,  15.02296,       193.14406,       15.02560,    297.49224,     -23.28235,     297.48865,      -23.27878,  2805819.79, -3295391.42,  4788395.03,      48.079364,       -4.424830,   88135.93,  312668.52,   30215.73,            34137.74,  -179.93,  57464.80,           58077.35,      5.68,    -35.78,          23.90,  +0.41,  -2.07
  0,     UK002D,       1,  0.000000, 2459440.478389594238, 284.30478, -20.30209,              207.68944,  14.04342,       207.59593,       14.02380,    284.30478,     -20.30209,     284.39032,      -20.34879,  2817759.63, -3283350.92,  4818242.11,      48.264840,       -4.198576,  109448.22,  402570.23,       0.00,              189.82,  1024.93,      0.00,           52141.48,   -254.76,    600.27,         334.12,  +4.67,  +1.65
  1,     UK002D,       0,  0.040176, 2459440.478390059434, 284.23666, -20.50263,              207.68801,  13.83297,       207.64247,       13.82338,    284.23666,     -20.50263,     284.27856,      -20.52544,  2817163.48, -3283952.09,  4816751.89,      48.255619,       -4.209919,  108381.55,  403503.33,    1713.93,             1524.11,    -0.04,  42660.57,           52141.48,   -124.21,    293.45,         162.89,  +1.93,  -1.10
  2,     UK002D,       0,  0.080400, 2459440.478390524630, 284.12977, -20.75565,              207.70513,  13.56140,       207.70279,       13.56091,    284.12977,     -20.75565,     284.13225,      -20.75682,  2816378.36, -3284743.83,  4814789.24,      48.243469,       -4.224804,  106977.15,  404738.43,    3971.20,             3781.38,  -104.85,  56117.47,           52141.48,     -6.39,     15.13,           8.37,  +1.07,  -1.97
  3,     UK002D,       0,  0.120596, 2459440.478390989825, 283.97192, -20.97987,              207.77752,  13.30242,       207.76276,       13.29931,    283.97192,     -20.97987,     283.98600,      -20.98730,  2815591.08, -3285537.75,  4812821.20,      48.231277,       -4.239729,  105569.36,  405985.79,    6234.66,             6044.84,  -201.82,  56310.69,           52141.48,    -40.53,     95.91,          52.90,  +1.07,  -1.97
  4,     UK002D,       0,  0.160808, 2459440.478391455486, 283.83351, -21.22005,              207.82649,  13.03392,       207.82357,       13.03331,    283.83351,     -21.22005,     283.83687,      -21.22153,  2814785.59, -3286350.03,  4810807.64,      48.218796,       -4.254995,  104129.48,  407271.02,    8550.49,             8360.67,  -247.36,  57590.45,           53780.94,     -8.04,     19.03,          10.46,  +0.65,  -2.40
  5,     UK002D,       0,  0.201060, 2459440.478391921148, 283.65032, -21.50293,              207.90174,  12.71183,       207.89678,       12.71078,    283.65032,     -21.50293,     283.65574,      -21.50544,  2813801.93, -3287341.98,  4808348.70,      48.203545,       -4.273600,  102371.82,  408851.75,   11378.55,            11188.73,   216.98,  70258.87,           56606.28,    -13.74,     32.53,          17.81,  +0.34,  -2.72
  6,     UK002D,       0,  0.241268, 2459440.478392386809, 283.50540, -21.73733,              207.95719,  12.44695,       207.95682,       12.44687,    283.50540,     -21.73733,     283.50675,      -21.73752,  2812991.47, -3288159.28,  4806322.73,      48.190970,       -4.288957,  100924.18,  410165.21,   13708.66,            13518.84,   185.94,  57951.28,           57758.83,     -1.04,      2.47,           1.35,  +0.30,  -2.76
  7,     UK002D,       0,  0.281456, 2459440.478392852005, 283.36983, -21.95100,              208.01035,  12.20447,       208.01190,       12.20480,    283.36983,     -21.95100,     283.36957,      -21.95022,  2812243.57, -3288913.48,  4804453.14,      48.179359,       -4.303141,   99588.72,  411385.74,   15858.90,            15669.08,   -23.78,  53504.59,           57884.66,      4.31,    -10.21,           5.56,  +0.17,  -2.90
  8,     UK002D,       0,  0.321660, 2459440.478393317200, 283.20701, -22.18224,              208.08178,  11.93734,       208.07287,       11.93546,    283.20701,     -22.18224,     283.21664,      -22.18678,  2811406.14, -3289757.97,  4802359.74,      48.166351,       -4.319003,   98093.91,  412760.82,   18266.54,            18076.72,    22.96,  59885.66,           58076.75,    -25.00,     59.17,          32.10,  +0.31,  -2.77
  9,     UK002D,       0,  0.361860, 2459440.478393782396, 283.07977, -22.40640,              208.12300,  11.68738,       208.12877,       11.68860,    283.07977,     -22.40640,     283.07591,      -22.40344,  2810633.71, -3290536.91,  4800428.83,      48.154345,       -4.333645,   96715.58,  414038.00,   20487.31,            20297.49,  -116.94,  55243.08,           58020.04,     16.26,    -38.50,          20.82,  +0.01,  -3.08
 10,     UK002D,       0,  0.402076, 2459440.478394248057, 282.93230, -22.65430,              208.17406,  11.40898,       208.19097,       11.41254,    282.93230,     -22.65430,     282.91820,      -22.64562,  2809764.21, -3291413.74,  4798255.27,      48.140822,       -4.350107,   95164.62,  415484.59,   22987.16,            22797.34,    21.30,  62160.43,           58177.32,     47.80,   -113.25,          61.03,  +0.23,  -2.86
 11,     UK002D,       0,  0.442280, 2459440.478394713253, 282.79628, -22.88488,              208.21998,  11.15039,       208.24866,       11.15644,    282.79628,     -22.88488,     282.77130,      -22.87012,  2808952.17, -3292232.62,  4796225.34,      48.128184,       -4.365490,   93716.65,  416845.00,   25321.81,            25131.99,    -4.95,  58070.16,           58263.95,     81.38,   -192.96,         103.63,  +0.12,  -2.98
 12,     UK002D,       0,  0.482472, 2459440.478395178448, 282.63283, -23.10182,              208.29415,  10.89662,       208.30648,       10.89922,    282.63283,     -23.10182,     282.62330,      -23.09546,  2808131.21, -3293060.51,  4794173.11,      48.115400,       -4.381040,   92253.28,  418229.11,   27682.11,            27492.29,    -4.85,  58725.67,           58331.52,     35.15,    -83.26,          44.57,  +0.03,  -3.08
 13,     UK002D,       0,  0.522656, 2459440.478395643644, 282.46057, -23.30877,              208.37876,  10.64966,       208.36323,       10.64639,    282.46057,     -23.30877,     282.47733,      -23.31680,  2807318.97, -3293879.59,  4792142.68,      48.102744,       -4.396426,   90805.98,  419607.20,   30017.34,            29827.52,   -29.36,  58113.24,           58367.76,    -44.53,    105.28,          56.19,  +0.28,  -2.83
 14,     UK002D,       0,  0.562856, 2459440.478396108840, 282.34325, -23.53691,              208.40727,  10.39895,       208.41820,       10.40126,    282.34325,     -23.53691,     282.33532,      -23.53124,  2806526.37, -3294678.87,  4790161.36,      48.090387,       -4.411444,   89394.15,  420960.30,   32296.09,            32106.27,  -111.27,  56685.35,           58349.27,     31.44,    -74.46,          39.60,  -0.06,  -3.18
 15,     UK002D,       0,  0.603056, 2459440.478396574035, 282.20113, -23.76470,              208.45725,  10.14124,       208.47547,       10.14508,    282.20113,     -23.76470,     282.18648,      -23.75523,  2805692.56, -3295519.71,  4788077.00,      48.077379,       -4.427232,   87909.43,  422392.14,   34693.33,            34503.51,   -74.69,  59633.03,           58365.20,     52.60,   -124.61,          66.05,  +0.01,  -3.12
 16,     UK002D,       0,  0.643212, 2459440.478397038765, 282.07099, -23.94157,              208.51304,   9.93525,       208.52216,        9.93717,    282.07099,     -23.94157,     282.06507,      -23.93682,  2805011.79, -3296206.22,  4786375.22,      48.066752,       -4.440153,   86697.57,  423568.68,   36650.58,            36460.76,  -475.53,  48741.07,           58187.69,     26.45,    -62.61,          33.10,  +3.01,  -0.12

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.