Orbital Analysis for matched events on 20211103_015637.920_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 122.83° Bg 42.27° Vg 60.82km/s
mass 0.00750g, abs. mag 0.4
best visual mag 1.4
Path Details
------------
start -1.69° 53.15° 109.57km
end   -1.78° 53.11° 99.10km

Orbit Details
-------------
Semimajor axis -6.35A.U., eccentricity 1.15, inclination 109.60°, Period nanY, LA Sun 220.57°, 

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: 2459521.580994451419
Time: 2021-11-03 01:56:37.920603 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 75.13167 deg
 R.A. = 141.73075  Dec = +59.86241 deg
Intersection 2 - Stations: UK001L and UK0035
 Convergence angle = 46.14600 deg
 R.A. = 140.12625  Dec = +56.87029 deg
Intersection 3 - Stations: UK001L and UK003G
 Convergence angle = 19.67142 deg
 R.A. = 141.66805  Dec = +59.75505 deg
Intersection 4 - Stations: UK001L and UK003X
 Convergence angle = 28.71951 deg
 R.A. = 141.22853  Dec = +58.98179 deg
Intersection 5 - Stations: UK002Z and UK0035
 Convergence angle = 29.10664 deg
 R.A. = 133.31513  Dec = +62.00235 deg
Intersection 6 - Stations: UK002Z and UK003G
 Convergence angle = 85.19695 deg
 R.A. = 141.79508  Dec = +59.84278 deg
Intersection 7 - Stations: UK002Z and UK003X
 Convergence angle = 76.15234 deg
 R.A. = 142.49786  Dec = +59.62467 deg
Intersection 8 - Stations: UK0035 and UK003G
 Convergence angle = 65.79659 deg
 R.A. = 139.05392  Dec = +57.81207 deg
Intersection 9 - Stations: UK0035 and UK003X
 Convergence angle = 74.85048 deg
 R.A. = 139.06861  Dec = +57.79955 deg
Intersection 10 - Stations: UK003G and UK003X
 Convergence angle = 9.05390 deg
 R.A. = 138.95957  Dec = +57.73674 deg

Best intersection: Stations UK002Z and UK003G with Qconv = 85.20 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1331844.72 +/- 45.46 m
 Y =   3664302.41 +/- 32.07 m
 Z =   5168721.85 +/- 96.76 m
 Vx =   -24711.96 +/- 7.20 m/s
 Vy =    18797.26 +/- 531.00 m/s
 Vz =    53463.16 +/- 591.55 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.897705e+02, +5.538432e+02, -6.402941e+02, +3.843358e+03, +4.775128e+03, -1.498525e+03
+5.538432e+02, +1.143338e+03, -5.638184e+02, +3.216233e+03, +6.020787e+03, -4.272444e+03
-6.402941e+02, -5.638184e+02, +4.434706e+03, -4.913681e+02, -2.652397e+03, +6.128580e+03
+3.843358e+03, +3.216233e+03, -4.913681e+02, +5.287635e+04, +4.820525e+04, +3.933921e+03
+4.775128e+03, +6.020787e+03, -2.652397e+03, +4.820525e+04, +5.771099e+04, -1.548996e+04
-1.498525e+03, -4.272444e+03, +6.128580e+03, +3.933921e+03, -1.548996e+04, +2.954075e+04

Timing offsets (from input data):
    UK001L: -0.000384 s
    UK002Z: -0.000393 s
    UK0035: -0.000404 s
    UK003G: -0.000197 s
    UK003X: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 01:56:37.920603 UTC
  Lon     = +-1.684885 +/- 0.0006 deg
  Lat     = +53.153981 +/- 0.0007 deg
  Lat geo = +52.972261 +/- 0.0007 deg
  Ht      =  109770.35 +/- 68.46 m

  JD dynamic   = 2459521.581795192324 
  LST apparent = 70.0255789234 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 142.74141 +/- 0.6332 deg
  Dec       = +59.85420 +/- 0.2607 deg
  Azimuth   =  50.22596 +/- 0.5231 deg
  Elevation = +51.39743 +/- 0.2575 deg
  Vavg      =  58.55278 +/- 0.2351 km/s
  Vinit     =  61.82498 +/- 0.5187 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 142.89594 +/- 0.6332 deg
  Dec       = +59.63703 +/- 0.2607 deg
  Azimuth   =  50.49461 +/- 0.5231 deg
  Elevation = +51.23922 +/- 0.2575 deg
  Vavg      =  58.68961 +/- 0.2351 km/s
  Vinit     =  61.96181 +/- 0.5187 km/s
Radiant (geocentric, J2000):
  R.A.   = 142.93736 +/- 0.6324 deg
  Dec    = +59.82037 +/- 0.2634 deg
  Vg     =  60.82103 +/- 0.5275 km/s
  Vinf   =  61.82498 +/- 0.5187 km/s
  Zc     =  38.71904 +/- 0.2582 deg
  Zg     =  39.04862 +/- 0.2578 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 122.82723 +/- 0.3398 deg
  Bg     = +42.26960 +/- 0.3293 deg
  Vh     =  43.90884 +/- 0.5958 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 106.52702 +/- 1.0233 deg
  Bh     = +68.70035 +/- 0.2451 deg
  Vh_x   =   4.53717 +/- 0.2833 km/s
  Vh_y   = -15.29074 +/- 0.1918 km/s
  Vh_z   = -40.90958 +/- 0.5903 km/s
Orbit:
  La Sun = 220.567418 +/- -0.0000 deg
  a      =  -6.352136 +/- 404.2555 AU
  e      =   1.152995 +/- 0.0559
  i      = 109.598474 +/- 0.1841 deg
  peri   = 195.883929 +/- 1.1491 deg
  node   = 220.568949 +/- 0.0000 deg
  Pi     =  56.452878 +/- 1.1491 deg
  q      =   0.971846 +/- 0.0026 AU
  f      = 344.116920 +/- 1.1491 deg
  M      =        nan +/- nan deg
  Q      = -13.676119 +/- 808.5110 AU
  n      =   0.061564 +/- 0.0186 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -1.244665 +/- 0.3055
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.578583e-04, +1.244004e-05, -3.767015e+03, -3.207059e-08, -5.731633e-03, -2.029887e-03
q   , +1.244004e-05, +6.026528e-06, -2.434775e+01, -2.518270e-09, -2.232654e-03, -1.597136e-04
Tp  , -3.767015e+03, -2.434775e+01, +8.689881e+10, +3.805012e-01, +2.614406e+04, +2.406602e+04
node, -3.207059e-08, -2.518270e-09, +3.805012e-01, +4.504261e-12, +1.062957e-06, +2.852143e-07
peri, -5.731633e-03, -2.232654e-03, +2.614406e+04, +1.062957e-06, +8.329829e-01, +6.739005e-02
i   , -2.029887e-03, -1.597136e-04, +2.406602e+04, +2.852143e-07, +6.739005e-02, +1.806025e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.166758
 a2 = 28.381803

Mean time residuals from time vs. length:
  Station with reference time: UK003X
  Avg. res. = 1.776e-06 s
  Stddev    = 1.33e-03 s

Begin point on the trajectory:
  Lon =    -1.686668 +/- 0.0005 deg
  Lat =    53.153089 +/- 0.0007 deg
  Ht  = 109572.67 +/- 52.80 m
End point on the trajectory:
  Lon =    -1.782165 +/- 0.0005 deg
  Lat =    53.105718 +/- 0.0006 deg
  Ht  = 99104.65 +/- 43.48 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107684.49,   100330.84,          0.017303,     51.21,     17.30,              44.74, 0.4954,    True,    True, {"ff_name": "FF_UK001L_20211103_015637_651_0788992.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00, 225.267732,   0.000000,   107461.78,    99764.25,          0.023467,     34.38,     48.78,              78.81, 0.9623,    True,    True, {"ff_name": "FF_UK002Z_20211103_015635_226_0798720.fits"}
    UK0035,   False,     1.010397,    52.949859,   25.00,   0.000000,   0.000000,   107391.56,   101611.60,          0.028581,     95.52,     47.50,              87.77, 0.9985,    True,    True, {"ff_name": "FF_UK0035_20211103_015630_311_0806144.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   106204.96,   100775.58,          0.008073,     24.69,     19.37,              42.59, 0.4580,    True,    True, {"ff_name": "FF_UK003G_20211103_015630_699_0783360.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   2.720348,  24.844398,   109572.67,    99104.65,          0.020483,     47.53,     51.86,              31.61, 0.2746,    True,    True, {"ff_name": "FF_UK003X_20211103_015633_502_0781056.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,     UK001L,       1,  0.002464, 2459521.580994487274, 279.65608,  72.79791,              349.66760,  36.31939,       349.64877,       36.33845,    279.65608,     +72.79791,     279.72780,      +72.80989,  1332215.50,  3664020.37,  5167919.68,      53.150710,       -1.691435,  109045.43,  181125.09,       0.00,              927.63,   964.52,      0.00,           52991.50,    -24.73,     72.91,          87.68,  +5.34,  +4.05
  1,     UK001L,       0,  0.042680, 2459521.580994952936, 280.46306,  72.48628,              349.24516,  36.12210,       349.27009,       36.09696,    280.46306,     +72.48628,     280.36948,      +72.47074,  1332911.66,  3663490.83,  5166413.58,      53.144565,       -1.703879,  107684.49,  179881.10,    1741.67,             2669.30,   219.83,  43307.77,           52991.50,     32.36,    -95.84,         115.99,  +2.87,  +1.60
  2,     UK001L,       0,  0.083008, 2459521.580995419528, 281.18442,  72.04737,              348.78538,  35.80208,       348.79673,       35.79071,    281.18442,     +72.04737,     281.14291,      +72.04048,  1333776.45,  3662833.02,  5164542.63,      53.136926,       -1.719298,  105994.11,  178347.08,    3905.23,             4832.86,  -109.88,  53649.21,           52991.50,     14.58,    -43.12,          52.65,  +1.76,  +0.50
  3,     UK001L,       0,  0.123376, 2459521.580995886587, 282.03588,  71.53733,              348.23766,  35.43784,       348.24651,       35.42902,    282.03588,     +71.53733,     282.00442,      +71.53211,  1334772.83,  3662075.12,  5162387.02,      53.128117,       -1.737041,  104046.88,  176595.87,    6397.99,             7325.62,  -112.87,  61750.98,           52991.50,     11.25,    -33.27,          41.01,  +1.63,  +0.40
  4,     UK001L,       0,  0.163752, 2459521.580996354111, 282.85942,  71.01863,              347.68640,  35.06869,       347.69470,       35.06048,    282.85942,     +71.01863,     282.83079,      +71.01387,  1335761.52,  3661323.08,  5160248.04,      53.119369,       -1.754652,  102115.02,  174876.13,    8871.52,             9799.15,  -135.59,  61262.19,           55547.13,     10.41,    -30.81,          38.35,  +1.90,  +0.69
  5,     UK001L,       0,  0.204112, 2459521.580996821169, 283.56616,  70.52218,              347.18052,  34.71029,       347.17951,       34.71128,    283.56616,     +70.52218,     283.57049,      +70.52274,  1336674.79,  3660628.39,  5158272.22,      53.111281,       -1.770935,  100330.84,  173304.06,   11156.36,            12083.99,  -346.01,  56611.56,           56428.44,     -1.25,      3.71,           4.66,  +2.49,  +1.30
  0,     UK002Z,       1,  0.015891, 2459521.580994641874,  29.49301,  24.98029,              244.20573,  47.81744,       244.27032,       47.81119,     29.49301,     +24.98029,      29.45037,      +25.00086,  1331986.95,  3664194.21,  5168414.13,      53.152726,       -1.687462,  109492.26,  146726.36,       0.00,              355.85,  -437.41,      0.00,           65776.62,    -91.77,    -64.60,         157.77,  +5.48,  +4.65
  1,     UK002Z,       0,  0.056667, 2459521.580995114055,  28.96817,  24.09823,              244.01078,  46.82320,       244.06457,       46.81800,     28.96817,     +24.09823,      28.93236,      +24.11556,  1333025.58,  3663404.18,  5166167.10,      53.143559,       -1.705946,  107461.78,  146273.57,    2598.47,             2954.32,  -359.92,  63725.45,           65776.62,    -77.61,    -54.64,         133.84,  +3.05,  +2.22
  2,     UK002Z,       0,  0.097527, 2459521.580995586701,  28.38244,  23.14322,              243.83677,  45.73437,       243.84815,       45.73327,     28.38244,     +23.14322,      28.37511,      +23.14693,  1334152.86,  3662546.70,  5163728.28,      53.133599,       -1.725997,  105258.44,  145832.55,    5418.73,             5774.58,   -65.82,  69022.56,           65776.62,    -16.68,    -11.76,          28.87,  +1.40,  +0.58
  3,     UK002Z,       0,  0.138307, 2459521.580996058881,  27.88430,  22.24272,              243.63079,  44.73383,       243.65596,       44.73139,     27.88430,     +22.24272,      27.86755,      +22.25101,  1335187.75,  3661759.51,  5161489.35,      53.124447,       -1.744423,  103236.09,  145475.40,    8007.84,             8363.69,     2.07,  63489.72,           65776.62,    -37.45,    -26.39,          64.96,  +1.35,  +0.54
  4,     UK002Z,       0,  0.179099, 2459521.580996531062,  27.37380,  21.34771,              243.45717,  43.72873,       243.47001,       43.72749,     27.37380,     +21.34771,      27.36560,      +21.35199,  1336219.67,  3660974.58,  5159256.85,      53.115312,       -1.762799,  101219.95,  145164.59,   10589.51,            10945.36,    61.77,  63288.54,           65158.97,    -19.39,    -13.67,          33.70,  +1.76,  +0.95
  5,     UK002Z,       0,  0.219687, 2459521.580997000448,  26.97541,  20.71290,              243.38044,  42.99514,       243.33992,       42.99907,     26.97541,     +20.71290,      27.00478,      +20.69931,  1336964.84,  3660407.76,  5157644.70,      53.108711,       -1.776118,   99764.25,  144970.42,   12453.80,            12809.65,  -583.29,  45932.11,           62251.16,     61.79,     43.63,         107.62,  +4.11,  +3.30
  0,     UK0035,       0,  0.054393, 2459521.580995086115, 355.74758,  27.52993,              277.84002,  29.29637,       277.82061,       29.30477,    355.74758,     +27.52993,     355.76829,      +27.52475,  1333061.51,  3663376.85,  5166089.38,      53.143242,       -1.706569,  107391.56,  213900.02,       0.00,             3044.20,  -129.44,      0.00,           61087.42,     31.42,     63.16,          68.02,  +5.21,  +3.56
  1,     UK0035,       0,  0.095005, 2459521.580995555967, 355.51628,  26.85639,              277.49744,  28.65905,       277.46403,       28.67351,    355.51628,     +26.85639,     355.55192,      +26.84750,  1334110.01,  3662579.30,  5163820.99,      53.133978,       -1.725230,  105342.20,  213857.18,    2623.17,             5667.37,   -17.10,  64590.98,           61087.42,     54.31,    109.24,         117.67,  +2.14,  +0.49
  2,     UK0035,       0,  0.135613, 2459521.580996026285, 355.30970,  26.18595,              277.14496,  28.03662,       277.11605,       28.04911,    355.30970,     +26.18595,     355.34073,      +26.17827,  1335145.30,  3661791.80,  5161581.20,      53.124822,       -1.743662,  103319.05,  213846.71,    5213.28,             8257.48,    62.42,  63783.22,           61087.42,     47.20,     94.92,         102.24,  +2.05,  +0.40
  3,     UK0035,       0,  0.176125, 2459521.580996494740, 355.12915,  25.62162,              276.85805,  27.50709,       276.82543,       27.52117,    355.12915,     +25.62162,     355.16424,      +25.61296,  1336019.19,  3661127.08,  5159690.57,      53.117088,       -1.759249,  101611.60,  213863.91,    7399.60,            10443.80,  -255.91,  53967.26,           61087.42,     53.47,    107.55,         115.84,  +2.18,  +0.53
  0,     UK003G,       0,  0.076808, 2459521.580995344091, 246.39435,  65.61148,                1.62768,  26.99460,         1.63275,       26.99025,    246.39435,     +65.61148,     246.38418,      +65.60694,  1333668.57,  3662915.08,  5164776.02,      53.137879,       -1.717368,  106204.96,  226789.85,       0.00,             4562.97,     3.50,      0.00,           58127.96,     15.32,    -19.54,          22.58,  +2.76,  +0.98
  1,     UK003G,       0,  0.117032, 2459521.580995809287, 247.14348,  65.31164,                1.29215,  26.68306,         1.29565,       26.68006,    247.14348,     +65.31164,     247.13671,      +65.30854,  1334669.79,  3662153.50,  5162609.93,      53.129029,       -1.735195,  104248.23,  224945.74,    2504.88,             7067.85,    21.53,  62273.16,           58127.96,     10.50,    -13.39,          15.60,  +2.03,  +0.27
  2,     UK003G,       0,  0.157268, 2459521.580996274948, 247.88627,  64.99819,                0.95371,  26.36065,         0.95248,       26.36170,    247.88627,     +64.99819,     247.88946,      +64.99927,  1335678.06,  3661386.55,  5160428.58,      53.120108,       -1.753151,  102278.08,  223101.79,    5027.39,             9590.36,    56.46,  62692.97,           58127.96,     -3.65,      4.66,           5.47,  +2.81,  +1.07
  3,     UK003G,       0,  0.197452, 2459521.580996740144, 248.43729,  64.74748,                0.69886,  26.10503,         0.68742,       26.11477,    248.43729,     +64.74748,     248.46177,      +64.75740,  1336447.12,  3660801.57,  5158764.77,      53.113298,       -1.766888,  100775.58,  221704.34,    6951.44,            11514.41,  -503.87,  47880.90,           58127.96,    -33.80,     43.08,          50.94,  +3.11,  +1.38
  0,     UK003X,       0,  0.000000, 2459521.580994451419, 213.70606,  67.15119,               15.44542,  31.83004,        15.44923,       31.82695,    213.70606,     +67.15119,     213.70187,      +67.14702,  1331945.82,  3664225.50,  5168503.11,      53.153089,       -1.686668,  109572.67,  203171.97,       0.00,              252.96,   442.16,      0.00,           58891.82,     11.68,    -10.72,          16.10,  +5.37,  +3.83
  1,     UK003X,       0,  0.040188, 2459521.580994916614, 214.41919,  67.00973,               15.21930,  31.58482,        15.19596,       31.60361,    214.41919,     +67.00973,     214.44559,      +67.03510,  1332796.42,  3663578.49,  5166662.89,      53.145582,       -1.701833,  107909.76,  201341.12,    2128.04,             2380.99,    85.58,  52952.04,           58891.82,    -70.90,     64.94,          98.50,  +2.96,  +1.44
  2,     UK003X,       0,  0.080388, 2459521.580995381810, 215.32187,  66.87303,               14.90749,  31.31477,        14.88874,       31.32983,    215.32187,     +66.87303,     215.34390,      +66.89330,  1333815.62,  3662803.23,  5164457.89,      53.136580,       -1.719975,  105917.56,  199155.79,    4677.90,             4930.86,   150.08,  63429.52,           58891.82,    -56.34,     51.64,          79.15,  +2.28,  +0.78
  3,     UK003X,       0,  0.120576, 2459521.580995847005, 216.16832,  66.74028,               14.61277,  31.05946,        14.59943,       31.07015,    216.16832,     +66.74028,     216.18466,      +66.75462,  1334759.82,  3662085.02,  5162415.16,      53.128232,       -1.736797,  104072.30,  197139.03,    7040.12,             7293.08,    27.68,  58779.21,           58891.82,    -39.69,     36.40,          56.34,  +2.02,  +0.55
  4,     UK003X,       0,  0.160764, 2459521.580996312201, 217.00111,  66.60593,               14.32022,  30.80683,        14.31387,       30.81191,    217.00111,     +66.60593,     217.00950,      +66.61272,  1335677.86,  3661386.71,  5160429.04,      53.120110,       -1.753160,  102278.48,  195185.64,    9336.88,             9589.84,  -160.18,  57150.42,           58683.59,    -18.71,     17.17,          26.84,  +2.09,  +0.64
  5,     UK003X,       0,  0.200968, 2459521.580996777397, 217.75224,  66.43960,               14.07246,  30.53888,        14.04128,       30.56374,    217.75224,     +66.43960,     217.79186,      +66.47275,  1336541.21,  3660730.00,  5158561.22,      53.112464,       -1.768562,  100591.79,  193355.47,   11496.83,            11749.79,  -485.85,  53724.72,           57915.45,    -91.06,     83.42,         131.74,  +2.60,  +1.17
  6,     UK003X,       0,  0.241104, 2459521.580997242127, 218.49373,  66.35007,               13.79160,  30.34512,        13.79733,       30.34055,    218.49373,     +66.35007,     218.48746,      +66.34400,  1337302.52,  3660150.91,  5156914.16,      53.105718,       -1.782165,   99104.65,  191747.10,   13401.50,            13654.45, -1062.59,  47455.34,           56522.14,     16.59,    -15.25,          24.24,  +4.68,  +3.27

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.