Orbital Analysis for matched events on 20211103_211429.685_UK

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Summary for Event
-----------------
shower ID 392 NID
Lg 130.46° Bg 59.62° Vg 43.28km/s
mass 0.09984g, abs. mag -0.4
best visual mag -0.2
Path Details
------------
start -4.39° 50.88° 108.86km
end   -4.39° 50.67° 94.34km

Orbit Details
-------------
Semimajor axis 2.71A.U., eccentricity 0.63, inclination 77.69°, Period 4.46Y, LA Sun 221.37°, last Perihelion 2017-05-22

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: 2459522.385065804701
Time: 2021-11-03 21:14:29.726484 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK0024
 Convergence angle = 23.24928 deg
 R.A. = 177.09099  Dec = +71.48606 deg

Best intersection: Stations UK000T and UK0024 with Qconv = 23.25 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4097302.78 +/- 65.98 m
 Y =   -173476.83 +/- 55.80 m
 Z =   5010974.34 +/- 43.99 m
 Vx =   -14017.03 +/- 128.78 m/s
 Vy =      342.18 +/- 116.60 m/s
 Vz =    42424.06 +/- 106.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.455762e+03, -3.683276e+03, +2.142034e+03, +8.193865e+03, -6.910433e+03, +5.986196e+03
-3.683276e+03, +3.205415e+03, -1.984709e+03, -6.469471e+03, +5.778800e+03, -5.033200e+03
+2.142034e+03, -1.984709e+03, +2.010155e+03, +3.782879e+03, -3.441705e+03, +3.250382e+03
+8.193865e+03, -6.469471e+03, +3.782879e+03, +1.813930e+04, -1.525283e+04, +1.262489e+04
-6.910433e+03, +5.778800e+03, -3.441705e+03, -1.525283e+04, +1.397628e+04, -1.135833e+04
+5.986196e+03, -5.033200e+03, +3.250382e+03, +1.262489e+04, -1.135833e+04, +1.066199e+04

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK0024: 0.000233 s

Reference point on the trajectory:
  Time: 2021-11-03 21:14:29.726484 UTC
  Lon     = +-4.393255 +/- 0.0007 deg
  Lat     = +50.888463 +/- 0.0003 deg
  Lat geo = +50.703159 +/- 0.0003 deg
  Ht      =  109813.49 +/- 71.74 m

  JD dynamic   = 2459522.385867019650 
  LST apparent = 357.5755861674 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 178.60157 +/- 0.4502 deg
  Dec       = +71.71122 +/- 0.2035 deg
  Azimuth   = 359.61784 +/- 0.1678 deg
  Elevation = +32.60184 +/- 0.2045 deg
  Vavg      =  44.00689 +/- 0.0295 km/s
  Vinit     =  44.68103 +/- 0.0584 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 177.37947 +/- 0.4502 deg
  Dec       = +71.71385 +/- 0.2035 deg
  Azimuth   =   0.07304 +/- 0.1678 deg
  Elevation = +32.60240 +/- 0.2045 deg
  Vavg      =  44.00621 +/- 0.0295 km/s
  Vinit     =  44.68035 +/- 0.0584 km/s
Radiant (geocentric, J2000):
  R.A.   = 178.27134 +/- 0.4348 deg
  Dec    = +70.83084 +/- 0.2100 deg
  Vg     =  43.28142 +/- 0.0603 km/s
  Vinf   =  44.68103 +/- 0.0584 km/s
  Zc     =  57.58346 +/- 0.2045 deg
  Zg     =  58.58547 +/- 0.2109 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 130.46303 +/- 0.1555 deg
  Bg     = +59.61899 +/- 0.2425 deg
  Vh     =  38.22536 +/- 0.1630 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 316.85627 +/- 0.3487 deg
  Bh     = +77.63075 +/- 0.1632 deg
  Vh_x   =  -5.97451 +/- 0.1301 km/s
  Vh_y   =   5.59941 +/- 0.0676 km/s
  Vh_z   = -37.33805 +/- 0.1384 km/s
Orbit:
  La Sun = 221.372999 +/- -0.0000 deg
  a      =   2.708636 +/- 0.0952 AU
  e      =   0.633989 +/- 0.0139
  i      =  77.685635 +/- 0.1577 deg
  peri   = 183.022926 +/- 0.1909 deg
  node   = 221.372426 +/- 0.0000 deg
  Pi     =  44.395351 +/- 0.1909 deg
  q      =   0.991391 +/- 0.0001 AU
  f      = 356.977345 +/- 0.1909 deg
  M      = 359.476204 +/- 0.0198 deg
  Q      =   4.425881 +/- 0.1904 AU
  n      =   0.221095 +/- 0.0128 deg/day
  T      =   4.457862 +/- 0.2308 years
  Last perihelion JD = 2457896.492561 (2017-05-22 23:49:17.239455) +/- 84.1831 days
  Tj     =   2.159339 +/- 0.0690
Shower association:
  IAU No.  =  392
  IAU code =  NID

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.030702e-04, -7.696144e-07, -1.232860e+00, -1.042804e-08, +2.310921e-03, -2.092713e-03
q   , -7.696144e-07, +3.943441e-09, +4.610279e-03, +4.279369e-11, -1.211806e-05, +8.586184e-06
Tp  , -1.232860e+00, +4.610279e-03, +7.500810e+03, +6.270729e-05, -1.378500e+01, +1.258457e+01
node, -1.042804e-08, +4.279369e-11, +6.270729e-05, +6.302372e-13, -1.314955e-07, +1.267719e-07
peri, +2.310921e-03, -1.211806e-05, -1.378500e+01, -1.314955e-07, +3.750714e-02, -2.638264e-02
i   , -2.092713e-03, +8.586184e-06, +1.258457e+01, +1.267719e-07, -2.638264e-02, +2.550640e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000034
 a2 = 25.178835

Mean time residuals from time vs. length:
  Station with reference time: UK000T
  Avg. res. = 3.588e-06 s
  Stddev    = 1.89e-03 s

Begin point on the trajectory:
  Lon =    -4.393116 +/- 0.0007 deg
  Lat =    50.875262 +/- 0.0003 deg
  Ht  = 108858.35 +/- 59.15 m
End point on the trajectory:
  Lon =    -4.393570 +/- 0.0005 deg
  Lat =    50.673528 +/- 0.0001 deg
  Ht  = 94338.13 +/- 45.95 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,   0.000091,  23.517714,   108858.35,    95160.81,          0.010095,     24.41,      5.58,              88.93, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20211103_211425_019_0348928.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000032,  25.266038,   108467.44,    94338.13,          0.012276,     30.33,      4.00,              66.83, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20211103_211420_708_0354816.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,     UK000T,       1,  0.000000, 2459522.385065804701, 331.97298,  17.99140,              221.77753,  50.53492,       221.75450,       50.54477,    331.97298,     +17.99140,     331.99134,      +17.99389,  4097295.79,  -173476.66,  5010995.49,      50.888629,       -4.393086,  109825.50,  141386.34,       0.00,               22.28,    57.91,      0.00,           45072.89,      9.71,     42.44,          63.51,  +4.14,  +3.39
  1,     UK000T,       0,  0.040976, 2459522.385066278744, 332.09724,  17.27343,              221.12503,  49.93881,       221.12937,       49.93697,    332.09724,     +17.27343,     332.09394,      +17.27296,  4097859.01,  -173490.41,  5009290.86,      50.875262,       -4.393116,  108858.35,  141355.24,    1795.32,             1773.04,   -22.17,  43813.93,           45072.89,     -1.84,     -8.05,          12.05,  +2.91,  +2.16
  2,     UK000T,       0,  0.081992, 2459522.385066753719, 332.18380,  16.52581,              220.51837,  49.29748,       220.49953,       49.30545,    332.18380,     +16.52581,     332.19927,      +16.52786,  4098440.92,  -173504.62,  5007529.64,      50.861447,       -4.393142,  107859.47,  141346.89,    3650.23,             3627.96,     0.11,  45224.15,           45072.89,      8.06,     35.22,          52.73,  +1.70,  +0.95
  3,     UK000T,       0,  0.123020, 2459522.385067228694, 332.31959,  15.76955,              219.85579,  48.66513,       219.87329,       48.65777,    332.31959,     +15.76955,     332.30599,      +15.76764,  4099034.63,  -173519.11,  5005732.70,      50.847348,       -4.393165,  106840.69,  141363.34,    5542.78,             5520.50,    59.48,  46128.13,           45072.89,     -7.55,    -32.97,          49.35,  +1.51,  +0.76
  4,     UK000T,       0,  0.163996, 2459522.385067702737, 332.40579,  15.05313,              219.29809,  48.04640,       219.29952,       48.04580,    332.40579,     +15.05313,     332.40532,      +15.05298,  4099592.93,  -173532.74,  5004042.94,      50.834086,       -4.393196,  105883.02,  141402.20,    7322.43,             7300.15,     8.28,  43431.58,           44855.47,     -0.62,     -2.71,           4.05,  +1.01,  +0.26
  5,     UK000T,       0,  0.205036, 2459522.385068177711, 332.52706,  14.28865,              218.67841,  47.39493,       218.69868,       47.38649,    332.52706,     +14.28865,     332.51144,      +14.28643,  4100192.20,  -173547.37,  5002229.19,      50.819846,       -4.393218,  104855.45,  141468.44,    9232.67,             9210.40,    84.81,  46545.92,           45035.05,     -8.88,    -38.78,          58.01,  +0.63,  -0.12
  6,     UK000T,       0,  0.245972, 2459522.385068651754, 332.59681,  13.59992,              218.18376,  46.79035,       218.17466,       46.79413,    332.59681,     +13.59992,     332.60526,      +13.60092,  4100728.60,  -173560.46,  5000605.72,      50.807096,       -4.393255,  103936.01,  141550.08,   10942.52,            10920.24,   -34.41,  41768.69,           44749.84,      4.01,     17.55,          26.24,  +0.23,  -0.52
  7,     UK000T,       0,  0.286984, 2459522.385069126263, 332.70452,  12.85472,              217.61858,  46.14631,       217.61685,       46.14702,    332.70452,     +12.85472,     332.70714,      +12.85492,  4101313.15,  -173574.73,  4998836.53,      50.793197,       -4.393280,  102934.39,  141662.04,   12805.83,            12783.55,    -3.56,  45433.23,           44687.90,      0.77,      3.36,           5.02,  +0.12,  -0.64
  8,     UK000T,       0,  0.327964, 2459522.385069600772, 332.79470,  12.13521,              217.10237,  45.51695,       217.09209,       45.52119,    332.79470,     +12.13521,     332.80454,      +12.13636,  4101877.11,  -173588.50,  4997129.63,      50.779784,       -4.393311,  101968.39,  141793.36,   14603.53,            14581.25,   -36.88,  43867.91,           44604.35,      4.60,     20.16,          30.08,  -0.09,  -0.85
  9,     UK000T,       0,  0.368980, 2459522.385070075281, 332.89009,  11.38730,              216.57514,  44.86119,       216.55847,       44.86804,    332.89009,     +11.38730,     332.90544,      +11.38917,  4102464.74,  -173602.85,  4995351.12,      50.765804,       -4.393335,  100962.22,  141954.05,   16476.67,            16454.39,     3.62,  45668.35,           44619.87,      7.53,     32.99,          49.17,  -0.14,  -0.90
 10,     UK000T,       0,  0.409956, 2459522.385070549790, 332.99875,  10.67241,              216.05950,  44.23876,       216.05821,       44.23929,    332.99875,     +10.67241,     333.00154,      +10.67255,  4103029.63,  -173616.64,  4993641.40,      50.752360,       -4.393366,   99995.31,  142131.82,   18277.34,            18255.06,   -26.56,  43944.58,           44597.66,      0.59,      2.57,           3.83,  -0.21,  -0.97
 11,     UK000T,       0,  0.450976, 2459522.385071024299, 333.08843,   9.92120,              215.55961,  43.57363,       215.54585,       43.57924,    333.08843,      +9.92120,     333.10182,       +9.92275,  4103622.29,  -173631.11,  4991847.65,      50.738252,       -4.393389,   98981.26,  142342.32,   20166.52,            20144.24,    29.81,  46055.12,           44640.94,      6.32,     27.70,          41.18,  -0.14,  -0.91
 12,     UK000T,       0,  0.491936, 2459522.385071498342, 333.19286,   9.21920,              215.07599,  42.95768,       215.07561,       42.95783,    333.19286,      +9.21920,     333.19524,       +9.21924,  4104180.02,  -173644.72,  4990159.63,      50.724970,       -4.393421,   98027.31,  142563.27,   21944.34,            21922.06,   -22.51,  43403.82,           44626.34,      0.18,      0.77,           1.14,  -0.08,  -0.85
 13,     UK000T,       0,  0.532944, 2459522.385071972851, 333.29642,   8.47700,              214.58311,  42.30206,       214.58893,       42.29970,    333.29642,      +8.47700,     333.29373,       +8.47633,  4104770.95,  -173659.15,  4988371.11,      50.710894,       -4.393445,   97016.94,  142820.86,   23828.01,            23805.73,    28.88,  45934.16,           44654.54,     -2.72,    -11.93,          17.67,  +0.07,  -0.70
 14,     UK000T,       0,  0.573852, 2459522.385072446428, 333.37879,   7.81107,              214.16225,  41.70851,       214.16227,       41.70850,    333.37879,      +7.81107,     333.38117,       +7.81107,  4105301.97,  -173672.11,  4986763.91,      50.698241,       -4.393484,   96109.30,  143073.57,   25520.72,            25498.44,  -106.23,  41378.40,           44591.16,     -0.01,     -0.05,           0.08,  +0.37,  -0.41
 15,     UK000T,       0,  0.614792, 2459522.385072920471, 333.48919,   7.12088,              213.70296,  41.10050,       213.72596,       41.09123,    333.48919,      +7.12088,     333.47213,       +7.11822,  4105857.09,  -173685.66,  4985083.77,      50.685010,       -4.393516,   95160.81,  143358.42,   27290.23,            27267.96,  -165.95,  43222.23,           44518.59,    -10.95,    -47.95,          70.77,  +0.95,  +0.17
  0,     UK0024,       0,  0.053265, 2459522.385066416115, 302.28364,  34.06856,              270.08017,  46.16083,       270.08409,       46.15471,    302.28364,     +34.06856,     302.27610,      +34.06666,  4098086.71,  -173495.97,  5008601.67,      50.869857,       -4.393108,  108467.44,  149147.64,       0.00,             2498.89,   154.58,      0.00,           42721.42,      2.27,    -17.29,          24.11,  +3.52,  +2.65
  1,     UK0024,       0,  0.093493, 2459522.385066881776, 302.47976,  33.46351,              269.26588,  45.89064,       269.26315,       45.89480,    302.47976,     +33.46351,     302.48541,      +33.46479,  4098638.09,  -173509.43,  5006932.88,      50.856765,       -4.393139,  107521.09,  148483.23,    1757.57,             4256.47,   114.72,  43690.31,           42721.42,     -1.55,     11.76,          16.48,  +2.81,  +1.95
  2,     UK0024,       0,  0.133709, 2459522.385067347437, 302.66383,  32.90173,              268.51376,  45.63761,       268.50700,       45.64772,    302.66383,     +32.90173,     302.67715,      +32.90485,  4099146.29,  -173521.84,  5005394.75,      50.844696,       -4.393180,  106649.13,  147887.35,    3377.53,             5876.43,   -62.21,  40281.43,           42721.42,     -3.77,     28.55,          40.17,  +2.57,  +1.72
  3,     UK0024,       0,  0.173933, 2459522.385067813098, 302.88997,  32.27374,              267.66285,  45.36375,       267.66286,       45.36374,    302.88997,     +32.27374,     302.89069,      +32.27373,  4099714.20,  -173535.70,  5003675.91,      50.831204,       -4.393206,  105675.05,  147238.70,    5187.81,             7686.71,   -49.18,  45004.99,           42721.42,      0.00,     -0.02,           0.03,  +2.17,  +1.33
  4,     UK0024,       0,  0.214169, 2459522.385068278760, 303.09778,  31.64351,              266.83066,  45.07281,       266.82955,       45.07439,    303.09778,     +31.64351,     303.10066,      +31.64399,  4100275.67,  -173549.41,  5001976.58,      50.817862,       -4.393233,  104712.36,  146616.66,    6977.56,             9476.45,   -57.22,  44481.17,           43220.53,     -0.59,      4.47,           6.35,  +1.59,  +0.76
  5,     UK0024,       0,  0.254405, 2459522.385068744421, 303.28802,  31.02464,              266.03119,  44.77453,       266.02325,       44.78566,    303.28802,     +31.02464,     303.30308,      +31.02806,  4100819.98,  -173562.69,  5000329.16,      50.804923,       -4.393266,  103779.41,  146032.28,    8712.62,            11211.51,  -119.95,  43122.04,           43349.04,     -4.16,     31.52,          44.90,  +1.44,  +0.62
  6,     UK0024,       0,  0.294649, 2459522.385069210082, 303.52683,  30.33816,              265.12901,  44.45670,       265.12957,       44.45592,    303.52683,     +30.33816,     303.52709,      +30.33793,  4101424.68,  -173577.46,  4998498.96,      50.790545,       -4.393283,  102743.32,  145403.65,   10640.18,            13139.07,     9.47,  47896.95,           43882.42,      0.29,     -2.20,           3.15,  +1.17,  +0.36
  7,     UK0024,       0,  0.334897, 2459522.385069675744, 303.72250,  29.68851,              264.30753,  44.13260,       264.30163,       44.14054,    303.72250,     +29.68851,     303.73387,      +29.69094,  4101986.53,  -173591.17,  4996798.44,      50.777181,       -4.393310,  101781.00,  144840.69,   12431.17,            14930.06,     2.14,  44498.82,           44156.02,     -2.98,     22.55,          32.39,  +1.08,  +0.28
  8,     UK0024,       0,  0.375129, 2459522.385070141405, 303.93431,  29.05428,              263.49495,  43.82532,       263.49567,       43.82436,    303.93431,     +29.05428,     303.93467,      +29.05399,  4102535.22,  -173604.57,  4995137.80,      50.764127,       -4.393342,  100841.56,  144310.46,   14180.16,            16679.05,   -46.48,  43472.60,           44238.11,      0.36,     -2.73,           3.94,  +1.05,  +0.25
  9,     UK0024,       0,  0.415393, 2459522.385070607532, 304.13432,  28.36283,              262.64283,  43.46660,       262.63491,       43.47689,    304.13432,     +28.36283,     304.14896,      +28.36598,  4103123.30,  -173618.92,  4993357.90,      50.750131,       -4.393363,   99835.02,  143763.00,   16054.75,            18553.64,    29.07,  46557.43,           44406.52,     -3.88,     29.31,          42.42,  +0.94,  +0.15
 10,     UK0024,       0,  0.455633, 2459522.385071073193, 304.36961,  27.67884,              261.77577,  43.13077,       261.78241,       43.12231,    304.36961,     +27.67884,     304.36089,      +27.67626,  4103708.18,  -173633.20,  4991587.68,      50.736206,       -4.393385,   98834.33,  143240.81,   17919.14,            20418.03,    95.50,  46331.85,           44585.89,      3.19,    -24.17,          35.11,  +1.03,  +0.25
 11,     UK0024,       0,  0.495869, 2459522.385071538854, 304.56404,  27.04308,              260.99752,  42.79958,       261.00545,       42.78963,    304.56404,     +27.04308,     304.55363,      +27.04005,  4104243.66,  -173646.27,  4989967.02,      50.723455,       -4.393420,   97918.49,  142783.12,   19626.02,            22124.92,     4.60,  42421.80,           44606.12,      3.76,    -28.47,          41.49,  +1.01,  +0.24
 12,     UK0024,       0,  0.536121, 2459522.385072004981, 304.74649,  26.38670,              260.21703,  42.44243,       260.21670,       42.44285,    304.74649,     +26.38670,     304.74925,      +26.38683,  4104789.77,  -173659.61,  4988314.15,      50.710446,       -4.393452,   96984.76,  142335.73,   21366.83,            23865.72,   -53.10,  43247.58,           44573.54,     -0.16,      1.19,           1.74,  +1.05,  +0.28
 13,     UK0024,       0,  0.576357, 2459522.385072470643, 304.97488,  25.71160,              259.38603,  42.09641,       259.40320,       42.07553,    304.97488,     +25.71160,     304.95108,      +25.70522,  4105355.88,  -173673.43,  4986600.75,      50.696957,       -4.393479,   96017.19,  141892.69,   23171.38,            25670.28,   -46.33,  44849.35,           44560.95,      7.92,    -60.06,          88.06,  +1.38,  +0.62
 14,     UK0024,       0,  0.616585, 2459522.385072936304, 305.15882,  25.08702,              258.64783,  41.75573,       258.66621,       41.73369,    305.15882,     +25.08702,     305.13371,      +25.08029,  4105871.59,  -173686.02,  4985039.89,      50.684665,       -4.393518,   95136.03,  141508.67,   24815.28,            27314.17,  -199.86,  40864.40,           44460.37,      8.39,    -63.56,          93.45,  +1.66,  +0.91
 15,     UK0024,       0,  0.656805, 2459522.385073401500, 305.31491,  24.51579,              257.98910,  41.43371,       258.00225,       41.41813,    305.31491,     +24.51579,     305.29807,      +24.51103,  4106338.71,  -173697.42,  4983626.12,      50.673528,       -4.393570,   94338.13,  141177.25,   26304.27,            28803.16,  -507.95,  37021.10,           44229.07,      5.95,    -45.05,          66.39,  +4.07,  +3.32

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.