Orbital Analysis for matched events on 20210813_013808.396_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.88° Bg 38.95° Vg 58.61km/s
mass 0.06667g, abs. mag -0.8
Path Details
------------
start -2.44° 52.84° 113.42km
end   -2.64° 52.75° 89.98km

Orbit Details
-------------
Semimajor axis 17.17A.U., eccentricity 0.95, inclination 111.75°, Period 71.15Y, LA Sun 140.25°, 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: 2459439.568152733613
Time: 2021-08-13 01:38:08.396184 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK002Z
 Convergence angle = 31.21899 deg
 R.A. =  49.91549  Dec = +58.98379 deg

Best intersection: Stations UK002H and UK002Z with Qconv = 31.22 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3773848.30 +/- 48.11 m
 Y =  -1095645.40 +/- 21.67 m
 Z =   5150044.61 +/- 35.52 m
 Vx =    19652.69 +/- 133.96 m/s
 Vy =    23433.66 +/- 125.79 m/s
 Vz =    51215.75 +/- 69.85 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.408992e+03, -9.185869e+02, +1.588935e+03, +6.067292e+03, -3.728081e+03, +1.841888e+03
-9.185869e+02, +4.956247e+02, -5.264304e+02, -2.246291e+03, +1.579152e+03, -6.143019e+02
+1.588935e+03, -5.264304e+02, +1.337535e+03, +3.994544e+03, -2.896603e+03, +1.099144e+03
+6.067292e+03, -2.246291e+03, +3.994544e+03, +1.692151e+04, -1.003802e+04, +4.924491e+03
-3.728081e+03, +1.579152e+03, -2.896603e+03, -1.003802e+04, +9.170650e+03, -1.941311e+03
+1.841888e+03, -6.143019e+02, +1.099144e+03, +4.924491e+03, -1.941311e+03, +2.613036e+03

Timing offsets (from input data):
    UK002H: 0.000000 s
    UK002Z: -0.000120 s

Reference point on the trajectory:
  Time: 2021-08-13 01:38:08.396184 UTC
  Lon     = +-2.441595 +/- 0.0002 deg
  Lat     = +52.837192 +/- 0.0002 deg
  Lat geo = +52.655004 +/- 0.0002 deg
  Ht      =  113416.88 +/- 57.43 m

  JD dynamic   = 2459439.568953474518 
  LST apparent = 343.8106254655 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.01504 +/- 0.2804 deg
  Dec       = +59.15626 +/- 0.0301 deg
  Azimuth   =  52.97735 +/- 0.0907 deg
  Elevation = +54.01525 +/- 0.1366 deg
  Vavg      =  59.46220 +/- 0.0362 km/s
  Vinit     =  59.65248 +/- 0.0627 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.22980 +/- 0.2804 deg
  Dec       = +58.94035 +/- 0.0301 deg
  Azimuth   =  53.25758 +/- 0.0907 deg
  Elevation = +53.83751 +/- 0.1366 deg
  Vavg      =  59.59717 +/- 0.0362 km/s
  Vinit     =  59.78744 +/- 0.0627 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.18548 +/- 0.2822 deg
  Dec    = +58.96806 +/- 0.0304 deg
  Vg     =  58.61194 +/- 0.0638 km/s
  Vinf   =  59.65248 +/- 0.0627 km/s
  Zc     =  36.09470 +/- 0.1368 deg
  Zg     =  36.42321 +/- 0.1385 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.88352 +/- 0.1754 deg
  Bg     = +38.95283 +/- 0.0592 deg
  Vh     =  41.22431 +/- 0.0516 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  87.55543 +/- 0.4052 deg
  Bh     = +63.36190 +/- 0.1215 deg
  Vh_x   =  -0.78836 +/- 0.1272 km/s
  Vh_y   = -18.46625 +/- 0.0775 km/s
  Vh_z   = -36.84861 +/- 0.0706 km/s
Orbit:
  La Sun = 140.253940 +/- -0.0000 deg
  a      =  17.170933 +/- 1.5907 AU
  e      =   0.945472 +/- 0.0044
  i      = 111.751830 +/- 0.0647 deg
  peri   = 147.537024 +/- 0.4813 deg
  node   = 140.253781 +/- 0.0000 deg
  Pi     = 287.790806 +/- 0.4813 deg
  q      =   0.936291 +/- 0.0021 AU
  f      =  32.459284 +/- 0.4813 deg
  M      =   0.312597 +/- 0.0401 deg
  Q      =  33.405574 +/- 3.1799 AU
  n      =   0.013852 +/- 0.0017 deg/day
  T      =  71.152713 +/- 10.2302 years
  Last perihelion JD = 2459417.002098 (2021-07-21 12:03:01.286001) +/- 0.3151 days
  Tj     =  -0.135403 +/- 0.0266
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.062837e-05, +6.297794e-06, +1.098294e-03, -2.113550e-10, +2.756815e-05, +3.055237e-06
q   , +6.297794e-06, +4.409648e-06, +6.693325e-04, -1.941228e-11, +1.798492e-05, +2.826650e-07
Tp  , +1.098294e-03, +6.693325e-04, +1.033411e-01, -5.252493e-09, +2.752979e-03, +7.620109e-05
node, -2.113550e-10, -1.941228e-11, -5.252493e-09, +6.587876e-15, -1.100508e-10, -9.511436e-11
peri, +2.756815e-05, +1.798492e-05, +2.752979e-03, -1.100508e-10, +7.365769e-05, +1.598694e-06
i   , +3.055237e-06, +2.826650e-07, +7.620109e-05, -9.511436e-11, +1.598694e-06, +1.373244e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002H
  Avg. res. = 4.358e-06 s
  Stddev    = 2.09e-03 s

Begin point on the trajectory:
  Lon =    -2.441598 +/- 0.0001 deg
  Lat =    52.837190 +/- 0.0002 deg
  Ht  = 113416.54 +/- 52.72 m
End point on the trajectory:
  Lon =    -2.642218 +/- 0.0003 deg
  Lat =    52.746147 +/- 0.0002 deg
  Ht  = 89980.96 +/- 14.98 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.000000,   0.000000,   113416.54,    90047.00,          0.009891,     21.25,      1.05,              57.24, 1.0000,   False,    True, {"ff_name": "FF_UK002H_20210813_013809_020_0471552.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   109575.98,    89980.96,          0.009041,     25.67,     17.39,              89.59, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_013758_892_0483072.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,     UK002H,       0,  0.000000, 2459439.568152733613, 342.87346,  24.58281,              181.82318,  61.18757,       181.83040,       61.18982,    342.87346,     +24.58281,     342.86968,      +24.58514,  3773848.16, -1095645.57,  5150044.24,      52.837190,       -2.441598,  113416.54,  129074.95,       0.00,                0.43,   195.20,      0.00,           58609.35,      0.45,     -9.33,          14.93,  +2.37,  +1.82
  1,     UK002H,       0,  0.040540, 2459439.568153202999, 342.35818,  23.93819,              182.75300,  60.53088,       182.71744,       60.51990,    342.35818,     +23.93819,     342.37711,      +23.92667,  3773154.87, -1096472.24,  5148237.49,      52.830614,       -2.456163,  111713.82,  127954.76,    2104.37,             2104.80,  -118.74,  51908.57,           58609.35,     -2.27,     46.08,          74.37,  +1.43,  +0.89
  2,     UK002H,       0,  0.081236, 2459439.568153673783, 341.75641,  23.10490,              183.79719,  59.67765,       183.77718,       59.67153,    341.75641,     +23.10490,     341.76744,      +23.09835,  3772301.66, -1097489.59,  5146014.00,      52.822515,       -2.474053,  109618.66,  126610.74,    4694.13,             4694.56,    43.40,  63636.69,           58609.35,     -1.28,     26.07,          42.52,  +0.73,  +0.22
  3,     UK002H,       0,  0.121892, 2459439.568154144567, 341.19486,  22.32302,              184.73628,  58.87175,       184.72441,       58.86814,    341.19486,     +22.32302,     341.20179,      +22.31910,  3771517.09, -1098425.11,  5143969.37,      52.815059,       -2.490521,  107692.34,  125409.54,    7075.58,             7076.01,    -0.39,  58575.45,           58609.35,     -0.76,     15.56,          25.62,  +0.42,  -0.07
  4,     UK002H,       0,  0.162588, 2459439.568154615350, 340.60555,  21.49901,              185.68733,  58.01720,       185.67620,       58.01386,    340.60555,     +21.49901,     340.61232,      +21.49530,  3770705.51, -1099392.83,  5141854.36,      52.807341,       -2.507555,  105700.01,  124203.00,    9538.99,             9539.42,    35.41,  60532.01,           59158.58,     -0.72,     14.68,          24.41,  +0.26,  -0.21
  5,     UK002H,       0,  0.203284, 2459439.568155086599, 340.04109,  20.67621,              186.56294,  57.16039,       186.57289,       57.16336,    340.04109,     +20.67621,     340.03642,      +20.67957,  3769918.82, -1100330.87,  5139804.21,      52.799852,       -2.524076,  103769.07,  123069.46,   11926.86,            11927.29,    -4.34,  58675.81,           59246.28,      0.65,    -13.21,          22.17,  +0.07,  -0.38
  6,     UK002H,       0,  0.244024, 2459439.568155557849, 339.42357,  19.80696,              187.49206,  56.24870,       187.48666,       56.24709,    339.42357,     +19.80696,     339.42763,      +19.80511,  3769092.99, -1101315.58,  5137652.05,      52.791983,       -2.541416,  101742.37,  121918.68,   14433.54,            14433.97,    72.10,  61528.77,           59522.65,     -0.36,      7.23,          12.25,  -0.14,  -0.57
  7,     UK002H,       0,  0.284748, 2459439.568156029098, 338.83708,  18.95602,              188.34082,  55.35280,       188.33378,       55.35073,    338.83708,     +18.95602,     338.84229,      +18.95359,  3768305.06, -1102255.10,  5135598.69,      52.784468,       -2.557971,   99809.00,  120859.21,   16825.15,            16825.58,    34.43,  58727.36,           59571.33,     -0.47,      9.50,          16.22,  -0.29,  -0.70
  8,     UK002H,       0,  0.325496, 2459439.568156500813, 338.23064,  18.07935,              189.18993,  54.42504,       189.16920,       54.41898,    338.23064,     +18.07935,     338.24399,      +18.07211,  3767505.17, -1103208.87,  5133514.14,      52.776833,       -2.574779,   97846.56,  119823.11,   19253.08,            19253.51,    31.63,  59583.96,           59594.88,     -1.40,     28.20,          48.61,  -0.38,  -0.77
  9,     UK002H,       0,  0.366264, 2459439.568156972993, 337.64636,  17.18478,              189.97268,  53.47733,       189.97143,       53.47697,    337.64636,     +17.18478,     337.64863,      +17.18434,  3766714.69, -1104151.44,  5131454.10,      52.769280,       -2.591396,   95907.49,  118839.27,   21652.47,            21652.90,    -0.89,  58854.76,           59566.41,     -0.09,      1.73,           3.00,  -0.37,  -0.74
 10,     UK002H,       0,  0.407072, 2459439.568157445174, 337.02894,  16.24268,              190.77313,  52.47486,       190.78017,       52.47689,    337.02894,     +16.24268,     337.02645,      +16.24520,  3765893.79, -1105130.27,  5129314.81,      52.761430,       -2.608650,   93894.13,  117860.77,   24144.16,            24144.59,    56.51,  61058.91,           59618.93,      0.48,     -9.75,          17.08,  -0.64,  -1.00
 11,     UK002H,       0,  0.447880, 2459439.568157917354, 336.43296,  15.30898,              191.51596,  51.47917,       191.54182,       51.48662,    336.43296,     +15.30898,     336.41921,      +15.31836,  3765098.01, -1106079.16,  5127240.96,      52.753812,       -2.625386,   91942.66,  116955.32,   26559.64,            26560.07,    37.68,  59191.24,           59632.72,      1.78,    -36.18,          63.88,  -0.73,  -1.07
 12,     UK002H,       0,  0.488664, 2459439.568158389535, 335.82448,  14.40216,              192.25968,  50.50494,       192.26137,       50.50543,    335.82448,     +14.40216,     335.82548,      +14.40279,  3764324.87, -1107001.04,  5125226.13,      52.746405,       -2.641655,   90047.00,  116117.25,   28906.37,            28906.81,   -48.45,  57540.60,           59571.93,      0.12,     -2.39,           4.25,  -0.42,  -0.74
 13,     UK002H,       1,  0.529156, 2459439.568158857990, 335.51085,  13.83199,              192.61269,  49.89951,       192.67939,       49.91858,    335.51085,     +13.83199,     335.47187,      +13.85666,  3763869.51, -1107544.00,  5124039.46,      52.742039,       -2.651307,   88930.58,  115643.78,   30288.52,            30288.95, -1081.75,  34133.79,           58811.27,      4.64,    -94.74,         169.19,  +3.74,  +3.42
  0,     UK002Z,       1,  0.042904, 2459439.568153232336, 297.72879,  12.17795,              241.26033,  33.86966,       241.22728,       33.87152,    297.72879,     +12.17795,     297.75374,      +12.16490,  3772931.06, -1096739.11,  5147654.24,      52.828491,       -2.460821,  111164.20,  195758.19,       0.00,             2784.13,   419.57,      0.00,           59364.39,    -52.74,     77.79,          99.03,  +3.54,  +2.08
  1,     UK002Z,       0,  0.083348, 2459439.568153700326, 297.48035,  11.65459,              241.17291,  33.29721,       241.18291,       33.29665,    297.48035,     +11.65459,     297.47317,      +11.65856,  3772284.28, -1097510.32,  5145968.70,      52.822350,       -2.474423,  109575.98,  195793.78,    1963.20,             4747.33,   -29.82,  48541.13,           59364.39,     16.05,    -23.70,          30.16,  +1.65,  +0.19
  2,     UK002Z,       0,  0.123912, 2459439.568154169712, 297.13239,  11.03524,              241.12559,  32.59123,       241.12875,       32.59105,    297.13239,     +11.03524,     297.13052,      +11.03650,  3771489.60, -1098457.89,  5143897.73,      52.814798,       -2.491102,  107624.84,  195862.71,    4375.32,             7159.45,   -37.44,  59464.56,           59364.39,      5.10,     -7.53,           9.58,  +0.91,  -0.55
  3,     UK002Z,       0,  0.164576, 2459439.568154640496, 296.71662,  10.30906,              241.08084,  31.75887,       241.06564,       31.75972,    296.71662,     +10.30906,     296.72892,      +10.30295,  3770552.13, -1099575.71,  5141454.65,      52.805881,       -2.510752,  105323.53,  195980.85,    7220.84,            10004.98,   382.38,  69976.55,           59364.39,    -24.86,     36.68,          46.63,  +0.70,  -0.76
  4,     UK002Z,       0,  0.205048, 2459439.568155108951, 296.44572,   9.77035,              241.01288,  31.16053,       241.02141,       31.16005,    296.44572,      +9.77035,     296.44003,       +9.77379,  3769875.61, -1100382.39,  5139691.60,      52.799440,       -2.524983,  103663.02,  196094.10,    9274.32,            12058.45,    21.60,  50738.14,           58709.16,     14.05,    -20.74,          26.35,  +0.21,  -1.25
  5,     UK002Z,       0,  0.245620, 2459439.568155578338, 296.09139,   9.14118,              240.97277,  30.44162,       240.96875,       30.44185,    296.09139,      +9.14118,     296.09552,       +9.13955,  3769063.90, -1101350.27,  5137576.25,      52.791705,       -2.542028,  101670.99,  196256.72,   11738.13,            14522.26,    65.19,  60726.84,           58810.25,     -6.67,      9.85,          12.50,  -0.03,  -1.49
  6,     UK002Z,       0,  0.286140, 2459439.568156047724, 295.78890,   8.54330,              240.90334,  29.77590,       240.92069,       29.77493,    295.78890,      +8.54330,     295.77662,       +8.55038,  3768308.97, -1102250.43,  5135608.88,      52.784506,       -2.557896,   99818.59,  196436.29,   14029.57,            16813.71,   -60.49,  56550.98,           58604.49,     29.01,    -42.84,          54.33,  -0.14,  -1.61
  7,     UK002Z,       0,  0.326700, 2459439.568156517111, 295.44094,   7.93394,              240.87290,  29.07647,       240.87095,       29.07658,    295.44094,      +7.93394,     295.44382,       +7.93314,  3767516.81, -1103194.99,  5133544.48,      52.776944,       -2.574543,   97875.11,  196652.95,   16434.04,            19218.18,   -75.52,  59281.85,           58575.19,     -3.29,      4.85,           6.15,  -0.25,  -1.72
  8,     UK002Z,       0,  0.367268, 2459439.568156986497, 295.08870,   7.31067,              240.83986,  28.36267,       240.82082,       28.36374,    295.08870,      +7.31067,     295.10519,       +7.30282,  3766706.28, -1104161.47,  5131432.18,      52.769200,       -2.591576,   95886.85,  196904.71,   18894.30,            21678.43,   -35.25,  60645.20,           58699.59,    -32.38,     47.75,          60.43,  -0.30,  -1.77
  9,     UK002Z,       0,  0.407832, 2459439.568157455884, 294.75601,   6.66794,              240.77819,  27.64212,       240.77075,       27.64254,    294.75601,      +6.66794,     294.76359,       +6.66485,  3765883.98, -1105141.97,  5129289.24,      52.761336,       -2.608859,   93870.07,  197191.17,   21390.25,            24174.38,    40.96,  61531.08,           58917.42,    -12.75,     18.81,          23.77,  -0.47,  -1.94
 10,     UK002Z,       0,  0.448376, 2459439.568157925270, 294.43136,   6.05282,              240.72678,  26.94902,       240.72332,       26.94921,    294.43136,      +6.05282,     294.43599,       +6.05137,  3765091.17, -1106087.31,  5127223.14,      52.753747,       -2.625532,   91925.89,  197497.27,   23796.70,            26580.83,    28.86,  59354.08,           59056.07,     -5.98,      8.82,          11.12,  -0.46,  -1.94
 11,     UK002Z,       0,  0.488920, 2459439.568158394657, 294.10372,   5.44159,              240.68191,  26.25745,       240.67659,       26.25775,    294.10372,      +5.44159,     294.11001,       +5.43936,  3764297.92, -1107033.16,  5125155.92,      52.746147,       -2.642218,   89980.96,  197832.47,   26204.45,            28988.58,    18.06,  59386.10,           59148.74,     -9.26,     13.66,          17.21,  -0.41,  -1.89
 12,     UK002Z,       1,  0.529324, 2459439.568158862181, 293.85817,   4.99391,              240.65512,  25.74792,       240.64305,       25.74860,    293.85817,      +4.99391,     293.87006,       +4.98884,  3763712.44, -1107731.29,  5123630.13,      52.740533,       -2.654580,   88545.56,  198100.61,   27981.58,            30765.71,  -615.01,  43984.09,           58706.79,    -21.14,     31.17,          39.21,  +4.11,  +2.63

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.