Orbital Analysis for matched events on 20210813_005859.127_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.38° Bg 38.97° Vg 61.29km/s
mass 0.47037g, abs. mag -3.5
Path Details
------------
start 0.47° 56.69° 106.99km
end   0.23° 56.60° 83.33km

Orbit Details
-------------
Semimajor axis -5.64A.U., eccentricity 1.17, inclination 113.29°, Period 1000000000.00Y, LA Sun 140.23°, 

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: 2459439.540962121449
Time: 2021-08-13 00:58:59.167406 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK003B
 Convergence angle = 8.83003 deg
 R.A. =  47.20871  Dec = +57.51901 deg

Best intersection: Stations UK0026 and UK003B with Qconv = 8.83 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3283854.03 +/- 550.03 m
 Y =  -1399291.49 +/- 325.44 m
 Z =   5398548.91 +/- 746.64 m
 Vx =    20080.22 +/- 2789.40 m/s
 Vy =    24613.74 +/- 1048.86 m/s
 Vz =    53574.48 +/- 2304.12 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.855165e+05, -1.061998e+05, -2.490634e+05, +4.597393e+05, -2.871120e+05, -6.853906e+05
-1.061998e+05, +6.259653e+04, +1.444035e+05, -2.638827e+05, +1.675749e+05, +3.921913e+05
-2.490634e+05, +1.444035e+05, +3.406468e+05, -6.067152e+05, +3.739870e+05, +9.071065e+05
+4.597393e+05, -2.638827e+05, -6.067152e+05, +1.565128e+06, -1.005986e+06, -2.272015e+06
-2.871120e+05, +1.675749e+05, +3.739870e+05, -1.005986e+06, +6.673350e+05, +1.452350e+06
-6.853906e+05, +3.921913e+05, +9.071065e+05, -2.272015e+06, +1.452350e+06, +3.309920e+06

Timing offsets (from input data):
    UK0026: 0.000000 s
    UK003B: -0.000511 s

Reference point on the trajectory:
  Time: 2021-08-13 00:58:59.167406 UTC
  Lon     = ++0.483568 +/- 0.0014 deg
  Lat     = +56.700938 +/- 0.0083 deg
  Lat geo = +56.527077 +/- 0.0083 deg
  Ht      =  108661.05 +/- 279.46 m

  JD dynamic   = 2459439.541763326619 
  LST apparent = 336.9205364279 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.79197 +/- 3.0715 deg
  Dec       = +59.33530 +/- 1.5315 deg
  Azimuth   =  54.16411 +/- 3.7341 deg
  Elevation = +52.81840 +/- 0.7388 deg
  Vavg      =  62.73273 +/- 1.4629 km/s
  Vinit     =  62.28384 +/- 1.5959 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.92137 +/- 3.0715 deg
  Dec       = +59.13778 +/- 1.5315 deg
  Azimuth   =  54.39478 +/- 3.7341 deg
  Elevation = +52.66384 +/- 0.7388 deg
  Vavg      =  62.86067 +/- 1.4629 km/s
  Vinit     =  62.41178 +/- 1.5959 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.89066 +/- 3.0631 deg
  Dec    = +59.10750 +/- 1.5441 deg
  Vg     =  61.28705 +/- 1.6253 km/s
  Vinf   =  62.28384 +/- 1.5959 km/s
  Zc     =  37.28361 +/- 0.7484 deg
  Zg     =  37.59544 +/- 0.7377 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.38304 +/- 2.7030 deg
  Bg     = +38.96676 +/- 0.8337 deg
  Vh     =  43.68510 +/- 2.0524 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.43153 +/- 6.3064 deg
  Bh     = +61.91722 +/- 0.6955 deg
  Vh_x   =  -1.27997 +/- 1.4547 km/s
  Vh_y   = -20.52475 +/- 1.7817 km/s
  Vh_z   = -38.54198 +/- 1.6399 km/s
Orbit:
  La Sun = 140.227832 +/- 0.0000 deg
  a      =  -5.640257 +/- 5.9236 AU
  e      =   1.166745 +/- 0.1793
  i      = 113.293911 +/- 0.4489 deg
  peri   = 150.072081 +/- 3.5894 deg
  node   = 140.227339 +/- 0.0000 deg
  Pi     = 290.299420 +/- 3.5894 deg
  q      =   0.940487 +/- 0.0153 AU
  f      =  29.924043 +/- 3.5894 deg
  M      =        nan +/- nan deg
  Q      = -12.221000 +/- 11.8458 AU
  n      =   0.073579 +/- 0.1222 deg/day
  T      = 1000000000.000000 +/- 253395488.1960 years
  Last perihelion JD = NaN 
  Tj     =  -1.417603 +/- 0.9526
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.103802e-02, -1.846313e-03, -2.177890e-01, +6.959918e-08, -7.967176e-03, -9.312184e-04
q   , -1.846313e-03, +1.647639e-04, +2.016131e-02, -5.827917e-09, +7.223062e-04, +7.796798e-05
Tp  , -2.177890e-01, +2.016131e-02, +3.011583e+00, -6.643965e-07, +9.788862e-02, +8.872858e-03
node, +6.959918e-08, -5.827917e-09, -6.643965e-07, +2.833473e-13, -2.493838e-08, -3.789382e-09
peri, -7.967176e-03, +7.223062e-04, +9.788862e-02, -2.493838e-08, +3.333396e-03, +3.333514e-04
i   , -9.312184e-04, +7.796798e-05, +8.872858e-03, -3.789382e-09, +3.333514e-04, +5.067852e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 63.418376
 a2 = 2.478027

Mean time residuals from time vs. length:
  Station with reference time: UK0026
  Avg. res. = 1.929e-05 s
  Stddev    = 4.39e-03 s

Begin point on the trajectory:
  Lon =     0.467071 +/- 0.0012 deg
  Lat =    56.694382 +/- 0.0076 deg
  Ht  = 106990.00 +/- 247.76 m
End point on the trajectory:
  Lon =     0.230976 +/- 0.0012 deg
  Lat =    56.600848 +/- 0.0056 deg
  Ht  = 83327.81 +/- 166.79 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
    UK0026,   False,    -0.023645,    52.984073,    6.00, 147.152810,   0.319888,   106990.00,    84831.68,          0.006433,     44.32,     17.10,              58.38, 1.0000,    True,   False, {"ff_name": "FF_UK0026_20210813_005856_593_0430592.fits"}
    UK003B,   False,    -1.072290,    52.276980,  129.00,   7.018928,   8.209529,   103298.73,    83327.81,          0.019607,    170.81,     36.19,              56.03, 1.0000,    True,    True, {"ff_name": "FF_UK003B_20210813_005850_583_0428800.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,     UK0026,       1,  0.000000, 2459439.540962121449, 149.91765,  49.53326,                4.31558,  12.66458,         4.29493,       12.67874,    149.91765,     +49.53326,     149.94710,      +49.54878,  3283840.30, -1399308.32,  5398512.28,      56.700805,       +0.483401,  108627.12,  432341.19,       0.00,               42.59,  -144.92,      0.00,           65411.18,    -66.80,   -173.36,          88.64,  +4.82,  +1.64
  1,     UK0026,       0,  0.040128, 2459439.540962585714, 150.15925,  49.37881,                4.16588,  12.49973,         4.16505,       12.50031,    150.15925,     +49.37881,     150.16061,      +49.37943,  3283177.79, -1400120.40,  5396744.69,      56.694382,       +0.467071,  106990.00,  431106.63,    2054.95,             2097.53,  -589.30,  51209.77,           65411.18,     -2.70,     -7.01,           3.59,  +2.68,  -0.49
  2,     UK0026,       0,  0.080356, 2459439.540963051375, 150.50792,  49.09714,                3.95216,  12.20381,         3.95115,       12.20450,    150.50792,     +49.09714,     150.50969,      +49.09789,  3282088.29, -1401455.88,  5393837.88,      56.683808,       +0.440320,  104298.28,  429090.69,    5434.30,             5476.88,   284.49,  84004.94,           65411.18,     -3.25,     -8.42,           4.34,  +1.87,  -1.29
  3,     UK0026,       0,  0.120504, 2459439.540963516105, 150.73859,  48.91380,                3.80934,  12.01143,         3.81068,       12.01051,    150.73859,     +48.91380,     150.73718,      +48.91280,  3281379.56, -1402324.62,  5391946.98,      56.676922,       +0.422855,  102547.61,  427788.31,    7632.60,             7675.18,   -17.78,  54754.88,           65411.18,      4.31,     11.17,           5.77,  +2.28,  -0.88
  4,     UK0026,       0,  0.160660, 2459439.540963980835, 150.98291,  48.71915,                3.65706,  11.80754,         3.66176,       11.80432,    150.98291,     +48.71915,     150.97691,      +48.71567,  3280631.28, -1403241.84,  5389950.55,      56.669644,       +0.404422,  100699.52,  426421.34,    9953.58,             9996.16,  -197.87,  57799.14,           63444.66,     15.06,     38.99,          20.22,  +0.46,  -2.69
  5,     UK0026,       0,  0.200848, 2459439.540964446031, 151.22355,  48.48170,                3.50861,  11.56143,         3.49403,       11.57140,    151.22355,     +48.48170,     151.24508,      +48.49245,  3279792.02, -1404270.57,  5387711.39,      56.661474,       +0.383764,   98627.09,  424898.17,   12556.74,            12599.33,   -97.76,  64774.71,           63072.71,    -46.49,   -120.54,          62.72,  +0.36,  -2.78
  6,     UK0026,       0,  0.241000, 2459439.540964910761, 151.48547,  48.29154,                3.34190,  11.36212,         3.34295,       11.36140,    151.48547,     +48.29154,     151.48499,      +48.29076,  3279040.74, -1405191.48,  5385706.95,      56.654153,       +0.365251,   96772.20,  423543.57,   14887.04,            14929.63,  -268.29,  58036.90,           62400.60,      3.35,      8.69,           4.54,  +0.95,  -2.18
  7,     UK0026,       0,  0.281168, 2459439.540965375490, 151.72999,  48.08039,                3.18697,  11.14287,         3.18638,       11.14328,    151.72999,     +48.08039,     151.73201,      +48.08083,  3278265.74, -1406141.44,  5383639.24,      56.646594,       +0.346155,   94859.08,  422155.23,   17290.89,            17333.47,  -366.26,  59844.80,           61907.55,     -1.89,     -4.89,           2.56,  +0.64,  -2.49
  8,     UK0026,       0,  0.321348, 2459439.540965840686, 152.00601,  47.85012,                3.01031,  10.90388,         3.01347,       10.90172,    152.00601,     +47.85012,     152.00288,      +47.84781,  3277413.71, -1407185.83,  5381366.02,      56.638275,       +0.325173,   92756.18,  420639.59,   19933.65,            19976.24,  -226.06,  65773.15,           61935.22,     10.01,     25.90,          13.62,  +0.49,  -2.63
  9,     UK0026,       0,  0.361552, 2459439.540966305882, 152.30832,  47.58972,                2.81555,  10.63451,         2.82039,       10.63119,    152.30832,     +47.58972,     152.30299,      +47.58620,  3276467.10, -1408346.16,  5378840.43,      56.629022,       +0.301876,   90420.28,  418968.95,   22869.81,            22912.40,   206.04,  73031.58,           62555.15,     15.29,     39.57,          20.88,  +0.37,  -2.74
 10,     UK0026,       1,  0.401716, 2459439.540966771077, 152.48521,  47.38044,                2.70320,  10.42030,         2.68070,       10.43566,    152.48521,     +47.38044,     152.51861,      +47.39672,  3275787.81, -1409178.81,  5377028.08,      56.622375,       +0.285107,   88744.29,  417778.59,   24976.80,            25019.38,  -188.54,  52459.45,           62434.39,    -70.69,   -183.31,          97.00,  +0.53,  -2.57
 11,     UK0026,       0,  0.441876, 2459439.540967235807, 152.77548,  47.17196,                2.51175,  10.20403,         2.51445,       10.20219,    152.77548,     +47.17196,     152.77352,      +47.17001,  3274982.00, -1410166.56,  5374878.14,      56.614483,       +0.265242,   86756.47,  416376.10,   27476.23,            27518.82,  -190.42,  62237.01,           62357.13,      8.49,     21.97,          11.67,  +0.14,  -2.96
 12,     UK0026,       0,  0.482056, 2459439.540967701003, 153.00934,  46.94404,                2.35874,   9.97029,         2.35257,        9.97450,    153.00934,     +46.94404,     153.02002,      +46.94846,  3274201.60, -1411123.14,  5372796.04,      56.606832,       +0.245995,   84831.68,  415027.72,   29896.82,            29939.40,  -272.40,  60243.51,           62240.75,    -19.27,    -49.91,          26.59,  +0.50,  -2.59
  0,     UK003B,       0,  0.105081, 2459439.540963347070, 140.10438,  46.17432,               10.64337,   9.31763,        10.63135,        9.32486,    140.10438,     +46.17432,     140.12002,      +46.18340,  3281683.65, -1401951.87,  5392758.31,      56.679877,       +0.430338,  103298.73,  514024.39,       0.00,             6731.96,    -0.42,      0.00,           61565.99,    -25.89,   -121.95,          50.02,  +2.90,  -0.65
  1,     UK003B,       0,  0.145297, 2459439.540963812731, 140.30166,  45.96345,               10.54118,   9.08736,        10.49902,        9.11271,    140.30166,     +45.96345,     140.35552,      +45.99516,  3280765.96, -1403076.75,  5390309.88,      56.670955,       +0.407771,  101032.14,  512248.66,    2846.46,             9578.42,   341.24,  70779.27,           61565.99,    -90.16,   -426.26,         175.44,  +1.96,  -1.59
  2,     UK003B,       0,  0.185433, 2459439.540964276996, 140.52976,  45.84885,               10.40108,   8.94886,        10.39788,        8.95079,    140.52976,     +45.84885,     140.53459,      +45.85125,  3280069.90, -1403929.96,  5388452.77,      56.664180,       +0.390610,   99313.23,  510907.80,    5005.46,            11737.43,     0.42,  53792.25,           61565.99,     -6.87,    -32.31,          13.34,  +1.14,  -2.40
  3,     UK003B,       0,  0.225625, 2459439.540964742191, 140.71125,  45.66350,               10.30409,   8.74588,        10.27946,        8.76070,    140.71125,     +45.66350,     140.74329,      +45.68194,  3279257.52, -1404925.75,  5386285.32,      56.656266,       +0.370606,   97307.40,  509350.37,    7525.26,            14257.22,    16.90,  62694.04,           61565.99,    -52.55,   -247.81,         102.58,  +0.89,  -2.65
  4,     UK003B,       0,  0.265785, 2459439.540965206921, 140.91481,  45.51653,               10.18487,   8.57855,        10.17115,        8.58680,    140.91481,     +45.51653,     140.93323,      +45.52678,  3278518.79, -1405831.26,  5384314.39,      56.649063,       +0.352396,   95483.73,  507940.72,    9816.60,            16548.56,  -193.08,  57055.26,           60518.02,    -29.23,   -137.65,          57.14,  +0.60,  -2.93
  5,     UK003B,       0,  0.305961, 2459439.540965672117, 141.14289,  45.35183,               10.05046,   8.39127,        10.04987,        8.39163,    141.14289,     +45.35183,     141.14491,      +45.35227,  3277694.72, -1406841.38,  5382115.76,      56.641020,       +0.332099,   93449.71,  506376.10,   12372.66,            19104.62,  -139.34,  63621.38,           60661.89,     -1.25,     -5.88,           2.45,  +0.20,  -3.32
  6,     UK003B,       0,  0.346137, 2459439.540966136847, 141.31665,  45.18170,                9.95425,   8.20463,         9.93928,        8.21363,    141.31665,     +45.18170,     141.33697,      +45.19282,  3276947.69, -1407757.06,  5380122.67,      56.633721,       +0.313680,   91606.14,  504964.60,   14689.76,            21421.72,  -324.55,  57673.76,           60393.10,    -31.75,   -149.46,          62.41,  -0.00,  -3.52
  7,     UK003B,       0,  0.386309, 2459439.540966602042, 141.53896,  45.02271,                9.82142,   8.02405,         9.82162,        8.02393,    141.53896,     +45.02271,     141.54032,      +45.02256,  3276156.24, -1408727.20,  5378011.06,      56.625981,       +0.294172,   89653.26,  503476.66,   17144.64,            23876.60,  -371.74,  61109.35,           60340.78,      0.43,      2.01,           0.84,  -0.14,  -3.65
  8,     UK003B,       0,  0.426501, 2459439.540967067238, 141.77281,  44.84410,                9.68248,   7.82313,         9.69329,        7.81662,    141.77281,     +44.84410,     141.76097,      +44.83610,  3275296.83, -1409780.64,  5375718.13,      56.617567,       +0.272999,   87533.08,  501869.79,   19810.32,            26542.28,  -209.37,  66323.61,           60715.43,     22.90,    107.42,          45.14,  -0.19,  -3.69
  9,     UK003B,       0,  0.466677, 2459439.540967532434, 141.95257,  44.66997,                9.58034,   7.63242,         9.57954,        7.63289,    141.95257,     +44.66997,     141.95552,      +44.67055,  3274539.84, -1410708.54,  5373698.45,      56.610149,       +0.254326,   85665.86,  500461.71,   22158.33,            28890.29,  -363.68,  58443.11,           60782.19,     -1.68,     -7.89,           3.33,  -0.34,  -3.84
 10,     UK003B,       0,  0.506893, 2459439.540967997629, 142.20863,  44.46843,                9.42702,   7.40705,         9.43662,        7.40128,    142.20863,     +44.46843,     142.19869,      +44.46138,  3273591.77, -1411870.66,  5371168.99,      56.600848,       +0.230976,   83327.81,  498708.76,   25099.00,            31830.96,    72.19,  73121.84,           61380.13,     20.20,     94.75,          40.07,  +1.16,  -2.33
 11,     UK003B,       1,  0.546997, 2459439.540968461893, 142.35934,  44.37264,                9.33304,   7.29717,         9.36135,        7.28013,    142.35934,     +44.37264,     142.32605,      +44.35186,  3273098.49, -1412475.30,  5369852.91,      56.596004,       +0.218746,   82111.42,  497800.26,   26629.02,            33360.98,  -895.62,  38151.34,           60833.26,     59.64,    279.08,         118.25,  +4.02,  +0.53

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.