Orbital Analysis for matched events on 20210813_231342.548_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.49° Bg 38.91° Vg 58.36km/s
mass 0.02077g, abs. mag -0.0
Path Details
------------
start -3.00° 53.85° 109.60km
end   -3.16° 53.74° 96.13km

Orbit Details
-------------
Semimajor axis 9.26A.U., eccentricity 0.90, inclination 112.19°, Period 28.20Y, LA Sun 141.12°, last Perihelion 2021-07-24

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: 2459440.467853566166
Time: 2021-08-13 23:13:42.588310 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK002X
 Convergence angle = 87.74358 deg
 R.A. =  47.81970  Dec = +58.86085 deg
Intersection 2 - Stations: UK000Y and UK002Z
 Convergence angle = 10.48555 deg
 R.A. =  46.19317  Dec = +51.05071 deg
Intersection 3 - Stations: UK002X and UK002Z
 Convergence angle = 77.35850 deg
 R.A. =  45.01395  Dec = +59.07826 deg

Best intersection: Stations UK000Y and UK002X with Qconv = 87.74 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2363855.18 +/- 23.05 m
 Y =  -3019814.85 +/- 21.63 m
 Z =   5217661.98 +/- 34.99 m
 Vx =    20507.59 +/- 117.78 m/s
 Vy =    22752.07 +/- 136.63 m/s
 Vz =    50895.64 +/- 115.50 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.318749e+02, +1.556468e+02, -4.425681e+02, +1.943936e+03, +7.203887e+02, -1.760890e+03
+1.556468e+02, +4.766510e+02, -3.653149e+02, +9.201972e+02, +2.129104e+03, -1.931135e+03
-4.425681e+02, -3.653149e+02, +1.188155e+03, -2.158035e+03, -2.829974e+03, +3.244358e+03
+1.943936e+03, +9.201972e+02, -2.158035e+03, +9.114629e+03, +5.059005e+03, -9.062143e+03
+7.203887e+02, +2.129104e+03, -2.829974e+03, +5.059005e+03, +1.279307e+04, -1.122299e+04
-1.760890e+03, -1.931135e+03, +3.244358e+03, -9.062143e+03, -1.122299e+04, +1.289566e+04

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK002X: 0.000146 s
    UK002Z: 0.000159 s

Reference point on the trajectory:
  Time: 2021-08-13 23:13:42.588310 UTC
  Lon     = +-2.978278 +/- 0.0004 deg
  Lat     = +53.864427 +/- 0.0002 deg
  Lat geo = +53.684105 +/- 0.0002 deg
  Ht      =  111140.60 +/- 30.51 m

  JD dynamic   = 2459440.468654772267 
  LST apparent = 308.0531820458 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.97007 +/- 0.1377 deg
  Dec       = +58.95936 +/- 0.1632 deg
  Azimuth   =  41.35918 +/- 0.1659 deg
  Elevation = +39.76244 +/- 0.1243 deg
  Vavg      =  58.48974 +/- 0.0228 km/s
  Vinit     =  59.40189 +/- 0.0340 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.88078 +/- 0.1377 deg
  Dec       = +58.73221 +/- 0.1632 deg
  Azimuth   =  41.62150 +/- 0.1659 deg
  Elevation = +39.64841 +/- 0.1243 deg
  Vavg      =  58.63227 +/- 0.0228 km/s
  Vinit     =  59.54442 +/- 0.0340 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.24193 +/- 0.1372 deg
  Dec    = +58.56529 +/- 0.1651 deg
  Vg     =  58.35646 +/- 0.0346 km/s
  Vinf   =  59.40189 +/- 0.0340 km/s
  Zc     =  50.37301 +/- 0.1240 deg
  Zg     =  50.85143 +/- 0.1259 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.48953 +/- 0.1065 deg
  Bg     = +38.90980 +/- 0.1596 deg
  Vh     =  40.68943 +/- 0.1092 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.30341 +/- 0.3027 deg
  Bh     = +64.26569 +/- 0.1671 deg
  Vh_x   =  -2.06021 +/- 0.0942 km/s
  Vh_y   = -17.54676 +/- 0.0652 km/s
  Vh_z   = -36.65374 +/- 0.1471 km/s
Orbit:
  La Sun = 141.117941 +/- nan deg
  a      =   9.263968 +/- 1.4495 AU
  e      =   0.896829 +/- 0.0096
  i      = 112.191988 +/- 0.1915 deg
  peri   = 151.686351 +/- 0.2462 deg
  node   = 141.116772 +/- 0.0000 deg
  Pi     = 292.803122 +/- 0.2462 deg
  q      =   0.955769 +/- 0.0009 AU
  f      =  28.309622 +/- 0.2462 deg
  M      =   0.708455 +/- 0.0908 deg
  Q      =  17.572167 +/- 2.8987 AU
  n      =   0.034955 +/- 0.0044 deg/day
  T      =  28.196564 +/- 7.6266 years
  Last perihelion JD = 2459420.200991 (2021-07-24 16:49:25.649039) +/- 0.1936 days
  Tj     =   0.115913 +/- 0.0499
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.946467e-05, +1.948259e-06, +1.302113e-03, +2.340891e-09, +2.127435e-05, -3.103414e-05
q   , +1.948259e-06, +7.872900e-07, +1.492675e-04, +7.413498e-11, +3.734062e-06, -9.818206e-07
Tp  , +1.302113e-03, +1.492675e-04, +3.858129e-02, +3.784113e-08, +8.406146e-04, -5.015013e-04
node, +2.340891e-09, +7.413498e-11, +3.784113e-08, +6.225110e-14, +6.585032e-10, -8.251807e-10
peri, +2.127435e-05, +3.734062e-06, +8.406146e-04, +6.585032e-10, +1.942199e-05, -8.725440e-06
i   , -3.103414e-05, -9.818206e-07, -5.015013e-04, -8.251807e-10, -8.725440e-06, +1.093837e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.001806
 a2 = 31.480939

Mean time residuals from time vs. length:
  Station with reference time: UK000Y
  Avg. res. = 6.280e-07 s
  Stddev    = 7.92e-04 s

Begin point on the trajectory:
  Lon =    -2.996528 +/- 0.0003 deg
  Lat =    53.852169 +/- 0.0002 deg
  Ht  = 109602.66 +/- 25.63 m
End point on the trajectory:
  Lon =    -3.158117 +/- 0.0003 deg
  Lat =    53.744223 +/- 0.0002 deg
  Ht  = 96126.67 +/- 28.87 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.000006,  45.392884,   109602.66,    96126.67,          0.009392,      8.81,     24.49,              60.85, 0.7627,    True,    True, {"ff_name": "FF_UK000Y_20210813_231340_105_0265216.fits"}
    UK002X,   False,    -3.059440,    54.994170,   18.00,   0.000000,  66.493974,   107792.59,    97205.39,          0.015951,     43.84,     17.60,              89.28, 0.9998,    True,    True, {"ff_name": "FF_UK002X_20210813_231334_963_0048128.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   108042.84,    97463.46,          0.024737,     15.23,     88.93,              88.75, 0.9995,    True,    True, {"ff_name": "FF_UK002Z_20210813_231333_575_0270080.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,     UK000Y,       1,  0.000000, 2459440.467853566166, 214.76043,  59.70734,              317.59884,  41.78041,       317.60817,       41.76775,    214.76043,     +59.70734,     214.73206,      +59.70538,  2363848.38, -3019822.40,  5217645.11,      53.864326,       -2.978260,  111128.00,  164743.46,       0.00,               19.70,  -152.05,      0.00,           61049.59,     39.08,     14.06,          52.00,  +4.76,  +3.68
  1,     UK000Y,       0,  0.040196, 2459440.467854031362, 214.93967,  58.97985,              316.74636,  41.41818,       316.75173,       41.41103,    214.93967,     +58.97985,     214.92406,      +58.97876,  2363024.94, -3020735.97,  5215601.48,      53.852169,       -2.996528,  109602.66,  163601.89,    2385.18,             2404.87,  -154.59,  59338.67,           61049.59,     22.04,      7.93,          29.54,  +2.56,  +1.49
  2,     UK000Y,       0,  0.080396, 2459440.467854496557, 215.13534,  58.21088,              315.84987,  41.03466,       315.85589,       41.02679,    215.13534,     +58.21088,     215.11858,      +58.20971,  2362165.76, -3021689.18,  5213469.18,      53.839476,       -3.015578,  108011.67,  162439.49,    4873.85,             4893.55,   -53.87,  61907.40,           61049.59,     24.22,      8.72,          32.69,  +1.11,  +0.06
  3,     UK000Y,       0,  0.120604, 2459440.467854962219, 215.32604,  57.43431,              314.95480,  40.64120,       314.96204,       40.63189,    215.32604,     +57.43431,     215.30662,      +57.43294,  2361310.45, -3022638.10,  5211346.48,      53.826831,       -3.034542,  106428.39,  161312.34,    7351.33,             7371.02,    35.17,  61616.38,           61049.59,     28.65,     10.31,          38.93,  +0.78,  -0.26
  4,     UK000Y,       0,  0.160800, 2459440.467855427414, 215.48631,  56.70810,              314.13244,  40.26254,       314.13688,       40.25692,    215.48631,     +56.70810,     215.47513,      +56.70729,  2360522.49, -3023512.30,  5209390.91,      53.815173,       -3.052024,  104970.25,  160301.44,    9633.73,             9653.43,   -70.15,  56781.82,           60281.43,     17.27,      6.22,          23.62,  +0.74,  -0.28
  5,     UK000Y,       0,  0.201012, 2459440.467855892610, 215.66358,  55.92272,              313.24878,  39.85140,       313.25422,       39.84462,    215.66358,     +55.92272,     215.65033,      +55.92175,  2359680.42, -3024446.53,  5207301.07,      53.802706,       -3.070692,  103412.50,  159249.94,   12072.85,            12092.55,   -19.70,  60656.51,           60115.54,     20.80,      7.49,          28.64,  +0.50,  -0.51
  6,     UK000Y,       0,  0.241236, 2459440.467856358271, 215.81705,  55.12871,              312.37511,  39.42090,       312.37431,       39.42188,    215.81705,     +55.12871,     215.82007,      +55.12884,  2358841.69, -3025377.05,  5205219.52,      53.790280,       -3.089286,  101861.45,  158233.24,   14502.29,            14521.99,    20.37,  60397.85,           60086.56,     -3.01,     -1.09,           4.18,  +0.39,  -0.61
  7,     UK000Y,       0,  0.281432, 2459440.467856823467, 216.00907,  54.34814,              311.50454,  39.01267,       311.51646,       38.99827,    216.00907,     +54.34814,     215.98109,      +54.34614,  2358024.35, -3026283.85,  5203191.05,      53.778162,       -3.107407,  100350.45,  157272.57,   16869.78,            16889.48,     0.13,  58898.58,           59975.52,     44.21,     15.90,          61.62,  +0.38,  -0.60
  8,     UK000Y,       0,  0.321656, 2459440.467857289128, 216.15718,  53.55172,              310.64667,  38.57130,       310.65505,       38.56134,    216.15718,     +53.55172,     216.13858,      +53.55035,  2357203.51, -3027194.52,  5201153.90,      53.765984,       -3.125603,   98833.49,  156338.09,   19247.40,            19267.10,   -11.62,  59109.59,           59865.94,     30.61,     11.02,          42.92,  +0.42,  -0.55
  9,     UK000Y,       0,  0.361876, 2459440.467857754324, 216.29787,  52.76809,              309.81289,  38.13124,       309.81786,       38.12541,    216.29787,     +52.76809,     216.28784,      +52.76730,  2356405.41, -3028079.98,  5199173.17,      53.754135,       -3.143298,   97359.01,  155459.31,   21559.17,            21578.87,   -89.00,  57478.11,           59679.86,     17.94,      6.46,          25.29,  +0.60,  -0.36
 10,     UK000Y,       0,  0.402072, 2459440.467858219985, 216.40037,  52.10472,              309.12148,  37.74832,       309.11805,       37.75230,    216.40037,     +52.10472,     216.40984,      +52.10525,  2355738.18, -3028820.23,  5197517.25,      53.744223,       -3.158117,   96126.67,  154748.57,   23491.85,            23511.54,  -544.04,  48081.22,           59051.33,    -12.24,     -4.41,          17.33,  +2.82,  +1.87
  0,     UK002X,       0,  0.087222, 2459440.467854568735, 308.91429,   4.11257,              178.78846,  39.11269,       178.79191,       39.11432,    308.91429,      +4.11257,     308.91195,       +4.11417,  2362047.42, -3021820.46,  5213175.49,      53.837727,       -3.018205,  107792.59,  168739.27,       0.00,             5236.32,  -116.60,      0.00,           59200.52,      3.44,     -8.57,          11.28,  +2.22,  +1.08
  1,     UK002X,       0,  0.127678, 2459440.467855036724, 308.43686,   3.31939,              179.40826,  38.32384,       179.40843,       38.32392,    308.43686,      +3.31939,     308.43725,       +3.31947,  2361108.12, -3022862.57,  5210844.34,      53.823838,       -3.039015,  106053.94,  168814.13,    2720.77,             7957.09,   201.00,  67252.52,           59200.52,      0.18,     -0.44,           0.58,  +1.31,  +0.17
  2,     UK002X,       0,  0.168070, 2459440.467855504248, 308.05433,   2.65716,              179.89592,  37.66294,       179.90836,       37.66877,    308.05433,      +2.65716,     308.04517,       +2.66298,  2360331.58, -3023724.10,  5208917.13,      53.812347,       -3.056246,  104617.05,  168909.21,    4970.07,            10206.39,    50.94,  55686.75,           59200.52,     12.58,    -31.31,          41.21,  +0.73,  -0.41
  3,     UK002X,       0,  0.208442, 2459440.467855971772, 307.65320,   2.00559,              180.39881,  37.01078,       180.39976,       37.01123,    307.65320,      +2.00559,     307.65331,       +2.00603,  2359553.65, -3024587.17,  5206986.46,      53.800829,       -3.073506,  103178.03,  169034.56,    7223.42,            12459.74,   -93.88,  55814.71,           59200.52,      0.96,     -2.40,           3.16,  +0.54,  -0.60
  4,     UK002X,       0,  0.248858, 2459440.467856439296, 307.21757,   1.29226,              180.93563,  36.29456,       180.92667,       36.29039,    307.21757,      +1.29226,     307.22579,       +1.28802,  2358702.03, -3025531.99,  5204872.92,      53.788210,       -3.092383,  101603.23,  169206.24,    9690.19,            14926.51,   -27.90,  61034.49,           59111.80,     -9.18,     22.84,          30.01,  +0.51,  -0.63
  5,     UK002X,       0,  0.289290, 2459440.467856907286, 306.80818,   0.56707,              181.43050,  35.56457,       181.44205,       35.56993,    306.80818,      +0.56707,     306.80007,       +0.57257,  2357851.63, -3026475.47,  5202762.40,      53.775600,       -3.111231,  100031.21,  169413.50,   12153.45,            17389.77,    33.63,  60923.60,           59345.47,     11.93,    -29.69,          38.95,  +0.43,  -0.71
  6,     UK002X,       0,  0.329702, 2459440.467857375275, 306.41664,  -0.11789,              181.89574,  34.87318,       181.92207,       34.88537,    306.41664,      -0.11789,     306.39665,       -0.10529,  2357043.86, -3027371.64,  5200757.69,      53.763615,       -3.129140,   98538.50,  169643.41,   14493.21,            19729.53,   -27.16,  57897.66,           59273.75,     27.36,    -68.14,          89.28,  +0.81,  -0.34
  7,     UK002X,       0,  0.370066, 2459440.467857842334, 306.06377,  -0.72599,              182.30860,  34.25779,       182.34351,       34.27391,    306.06377,      -0.72599,     306.03685,       -0.70920,  2356322.25, -3028172.24,  5198966.78,      53.752900,       -3.145156,   97205.39,  169875.94,   16583.43,            21819.75,  -334.64,  51784.22,           58620.49,     36.50,    -90.93,         118.97,  +1.56,  +0.41
  0,     UK002Z,       0,  0.077663, 2459440.467854457907, 231.12796,  30.87509,              282.00195,  30.36383,       281.99616,       30.36817,    231.12796,     +30.87509,     231.13599,      +30.87490,  2362182.59, -3021670.50,  5213510.95,      53.839725,       -3.015194,  108042.84,  208720.34,       0.00,             4844.80,    59.74,      0.00,           58367.18,    -23.76,     -4.06,          23.82,  +3.24,  +1.64
  1,     UK002Z,       0,  0.118143, 2459440.467854926363, 231.06974,  30.22240,              281.53497,  29.84873,       281.50204,       29.87335,    231.06974,     +30.22240,     231.11384,      +30.22134,  2361362.17, -3022580.72,  5211474.83,      53.827596,       -3.033393,  106524.11,  208748.65,    2376.43,             7221.22,    31.58,  58706.19,           58367.18,   -135.37,    -23.20,         135.71,  +1.71,  +0.11
  2,     UK002Z,       0,  0.158595, 2459440.467855394818, 231.06656,  29.57009,              281.03294,  29.36397,       281.01409,       29.37800,    231.06656,     +29.57009,     231.09205,      +29.56949,  2360543.57, -3023488.90,  5209443.25,      53.815485,       -3.051549,  105009.27,  208803.98,    4747.54,             9592.34,    -0.23,  58615.58,           58367.18,    -77.58,    -13.28,          77.75,  +1.52,  -0.08
  3,     UK002Z,       0,  0.199047, 2459440.467855862807, 231.03736,  28.92904,              280.56365,  28.87050,       280.53872,       28.88901,    231.03736,     +28.92904,     231.07087,      +28.92825,  2359737.82, -3024382.85,  5207443.52,      53.803556,       -3.069421,  103518.66,  208884.99,    7081.49,            11926.29,   -69.21,  57696.65,           58367.18,   -102.82,    -17.61,         103.01,  +1.21,  -0.39
  4,     UK002Z,       0,  0.239519, 2459440.467856331263, 231.02029,  28.25731,              280.06684,  28.35939,       280.04560,       28.37510,    231.02029,     +28.25731,     231.04900,      +28.25664,  2358893.03, -3025320.09,  5205346.94,      53.791041,       -3.088148,  101956.38,  208997.55,    9528.47,            14373.27,   -26.34,  60461.17,           58727.33,    -87.77,    -15.03,          87.88,  +1.02,  -0.58
  5,     UK002Z,       0,  0.279983, 2459440.467856799718, 231.00631,  27.58479,              279.57204,  27.84758,       279.55672,       27.85888,    231.00631,     +27.58479,     231.02737,      +27.58430,  2358046.31, -3026259.49,  5203245.54,      53.778488,       -3.106916,  100391.03,  209139.14,   11981.08,            16825.88,    22.63,  60612.18,           59099.51,    -63.47,    -10.86,          63.51,  +1.06,  -0.54
  6,     UK002Z,       0,  0.320451, 2459440.467857268173, 230.96770,  26.92512,              279.11017,  27.32916,       279.08127,       27.35040,    230.96770,     +26.92512,     231.00639,      +26.92422,  2357213.81, -3027183.10,  5201179.45,      53.766137,       -3.125369,   98852.51,  209306.58,   14392.48,            19237.28,    30.15,  59587.70,           59284.74,   -119.98,    -20.56,         119.96,  +1.32,  -0.28
  7,     UK002Z,       0,  0.360855, 2459440.467857735697, 230.97351,  26.32923,              278.66608,  26.88324,       278.65628,       26.89042,    230.97351,     +26.32923,     230.98763,      +26.32893,  2356461.96, -3028017.24,  5199313.51,      53.754975,       -3.142049,   97463.46,  209482.57,   16570.27,            21415.07,  -192.13,  53900.42,           58913.91,    -40.75,     -6.97,          40.71,  +1.98,  +0.37

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.