Orbital Analysis for matched events on 20211103_005331.234_UK

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Summary for Event
-----------------
shower ID 445 KUM
Lg 127.15° Bg 29.20° Vg 64.42km/s
mass 0.04142g, abs. mag -0.8
best visual mag 0.4
Path Details
------------
start -4.89° 49.43° 106.52km
end   -5.10° 49.35° 94.47km

Orbit Details
-------------
Semimajor axis 8.44A.U., eccentricity 0.88, inclination 129.72°, Period 24.54Y, LA Sun 220.52°, last Perihelion 1997-04-28

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: 2459521.537167063914
Time: 2021-11-03 00:53:31.234322 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003E and UK003K
 Convergence angle = 14.95442 deg
 R.A. = 140.66330  Dec = +46.22392 deg

Best intersection: Stations UK003E and UK003K with Qconv = 14.95 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2659297.99 +/- 228.81 m
 Y =   3283377.22 +/- 83.81 m
 Z =   4902992.01 +/- 86.70 m
 Vx =   -34268.94 +/- 191.70 m/s
 Vy =    29038.23 +/- 1008.84 m/s
 Vz =    47492.50 +/- 811.19 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.424167e+03, +2.495961e+03, -2.140478e+03, +2.363087e+04, +5.774885e+03, -6.869492e+03
+2.495961e+03, +1.360498e+03, -5.888579e+02, -6.865484e+03, -1.741756e+03, +1.366520e+03
-2.140478e+03, -5.888579e+02, +6.499199e+02, -1.052739e+04, -2.588716e+03, +2.902490e+03
+2.363087e+04, -6.865484e+03, -1.052739e+04, +4.959101e+05, +1.230073e+05, -1.262858e+05
+5.774885e+03, -1.741756e+03, -2.588716e+03, +1.230073e+05, +3.051234e+04, -3.131266e+04
-6.869492e+03, +1.366520e+03, +2.902490e+03, -1.262858e+05, -3.131266e+04, +3.227447e+04

Timing offsets (from input data):
    UK003E: 0.000000 s
    UK003K: 0.001307 s

Reference point on the trajectory:
  Time: 2021-11-03 00:53:31.234322 UTC
  Lon     = +-4.894377 +/- 0.0018 deg
  Lat     = +49.433566 +/- 0.0018 deg
  Lat geo = +49.246475 +/- 0.0018 deg
  Ht      =  106492.55 +/- 83.28 m

  JD dynamic   = 2459521.537967804819 
  LST apparent = 50.9950306554 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 139.72329 +/- 1.1247 deg
  Dec       = +46.59615 +/- 0.1908 deg
  Azimuth   =  56.14168 +/- 0.4203 deg
  Elevation = +34.18224 +/- 0.7167 deg
  Vavg      =  63.90305 +/- 0.4328 km/s
  Vinit     =  65.36909 +/- 0.9093 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 139.73196 +/- 1.1247 deg
  Dec       = +46.40063 +/- 0.1908 deg
  Azimuth   =  56.32270 +/- 0.4203 deg
  Elevation = +34.05652 +/- 0.7167 deg
  Vavg      =  64.11509 +/- 0.4328 km/s
  Vinit     =  65.58113 +/- 0.9093 km/s
Radiant (geocentric, J2000):
  R.A.   = 139.86903 +/- 1.1160 deg
  Dec    = +46.41437 +/- 0.1896 deg
  Vg     =  64.42011 +/- 0.9221 km/s
  Vinf   =  65.36909 +/- 0.9093 km/s
  Zc     =  55.92214 +/- 0.7178 deg
  Zg     =  56.36690 +/- 0.7128 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 127.14636 +/- 0.9040 deg
  Bg     = +29.19827 +/- 0.1222 deg
  Vh     =  41.02732 +/- 0.8764 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 122.35206 +/- 1.9543 deg
  Bh     = +49.99496 +/- 0.2627 deg
  Vh_x   =  14.11359 +/- 1.1608 km/s
  Vh_y   = -22.28064 +/- 0.2031 km/s
  Vh_z   = -31.42643 +/- 0.5568 km/s
Orbit:
  La Sun = 220.523518 +/- 0.0000 deg
  a      =   8.444062 +/- 20.6843 AU
  e      =   0.883549 +/- 0.0831
  i      = 129.717281 +/- 0.3333 deg
  peri   = 191.179252 +/- 2.7142 deg
  node   = 220.524990 +/- 0.0000 deg
  Pi     =  51.704243 +/- 2.7142 deg
  q      =   0.983317 +/- 0.0024 AU
  f      = 348.821831 +/- 2.7142 deg
  M      = 359.674397 +/- nan deg
  Q      =  15.904806 +/- 41.3686 AU
  n      =   0.040168 +/- 0.0190 deg/day
  T      =  24.537355 +/- nan years
  Last perihelion JD = 2450567.218913 (1997-04-28 17:15:14.109761) +/- 12981.8218 days
  Tj     =  -0.146083 +/- 0.4598
Shower association:
  IAU No.  =  445
  IAU code =  KUM

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.261546e-03, +8.704450e-05, -5.244334e+02, +1.847447e-07, -6.960167e-02, +7.455484e-03
q   , +8.704450e-05, +6.074343e-06, -3.532939e+01, +1.282880e-08, -4.830215e-03, +5.178358e-04
Tp  , -5.244334e+02, -3.532939e+01, +2.287099e+08, -7.577753e-02, +2.858602e+04, -3.056528e+03
node, +1.847447e-07, +1.282880e-08, -7.577753e-02, +2.715222e-11, -1.022592e-05, +1.095890e-06
peri, -6.960167e-02, -4.830215e-03, +2.858602e+04, -1.022592e-05, +3.851356e+00, -4.127226e-01
i   , +7.455484e-03, +5.178358e-04, -3.056528e+03, +1.095890e-06, -4.127226e-01, +4.423138e-02

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: UK003E
  Avg. res. = 1.731e-05 s
  Stddev    = 4.16e-03 s

Begin point on the trajectory:
  Lon =    -4.893980 +/- 0.0017 deg
  Lat =    49.433739 +/- 0.0018 deg
  Ht  = 106516.44 +/- 75.49 m
End point on the trajectory:
  Lon =    -5.095613 +/- 0.0013 deg
  Lat =    49.345809 +/- 0.0014 deg
  Ht  = 94466.22 +/- 85.79 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
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   106516.44,    94582.97,          0.013442,     51.07,     59.81,             126.00, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20211103_005328_610_0689664.fits"}
    UK003K,   False,    -4.388944,    50.464439,  133.00,   0.388426,  22.693035,   105747.27,    94466.22,          0.006063,      7.49,     15.61,              97.69, 1.0000,    True,    True, {"ff_name": "FF_UK003K_20211103_005321_412_0671232.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,     UK003E,       0,  0.000000, 2459521.537167063914,   9.01839,  -9.72278,              227.06889,  17.62882,       227.05725,       17.62656,      9.01839,      -9.72278,       9.02730,       -9.72992,  2659275.70,  3283396.12,  4903022.90,      49.433739,       -4.893980,  106516.44,  326666.20,       0.00,               42.53,    34.85,      0.00,           64768.79,     49.09,     41.97,          40.78,  +2.98,  +0.41
  1,     UK003E,       0,  0.040336, 2459521.537167530973,   8.78117, -10.03300,              227.13483,  17.24555,       227.13968,       17.24649,      8.78117,     -10.03300,       8.77762,      -10.03002,  2660684.53,  3282202.32,  4901070.44,      49.422780,       -4.919184,  105006.96,  328198.64,    2687.39,             2644.86,     0.46,  66625.04,           64768.79,    -20.57,    -17.58,          17.01,  +2.73,  +0.15
  2,     UK003E,       0,  0.080648, 2459521.537167997565,   8.54967, -10.31083,              227.21056,  16.89360,       227.21578,       16.89461,      8.54967,     -10.31083,       8.54600,      -10.30761,  2662000.49,  3281087.23,  4899246.69,      49.412534,       -4.942737,  103597.65,  329644.06,    5197.62,             5155.09,  -124.47,  62270.08,           64768.79,    -22.26,    -19.02,          18.32,  +2.23,  -0.36
  3,     UK003E,       0,  0.120972, 2459521.537168464158,   8.30437, -10.60295,              227.29111,  16.52269,       227.29562,       16.52356,      8.30437,     -10.60295,       8.30141,      -10.60016,  2663400.81,  3279900.65,  4897306.01,      49.401622,       -4.967790,  102098.71,  331195.72,    7868.78,             7826.25,   -89.26,  66242.36,           64768.79,    -19.36,    -16.54,          15.86,  +1.67,  -0.93
  4,     UK003E,       0,  0.161304, 2459521.537168930750,   8.05798, -10.90118,              227.36885,  16.14590,       227.37622,       16.14733,      8.05798,     -10.90118,       8.05296,      -10.89661,  2664834.22,  3278686.03,  4895319.48,      49.390440,       -4.993432,  100565.12,  332798.68,   10603.06,            10560.53,     8.55,  67794.29,           65438.11,    -31.87,    -27.23,          25.98,  +1.61,  -1.00
  5,     UK003E,       0,  0.201584, 2459521.537169396877,   7.84299, -11.14602,              227.44350,  15.83074,       227.44400,       15.83084,      7.84299,     -11.14602,       7.84344,      -11.14570,  2666050.47,  3277655.42,  4893633.91,      49.380944,       -5.015214,   99264.46,  334171.66,   12923.09,            12880.56,  -304.48,  57597.65,           64510.53,     -2.21,     -1.89,           1.79,  +1.76,  -0.86
  6,     UK003E,       0,  0.241948, 2459521.537169864401,   7.59510, -11.49395,              227.49679,  15.40943,       227.53200,       15.41626,      7.59510,     -11.49395,       7.56881,      -11.47196,  2667659.47,  3276292.02,  4891404.04,      49.368370,       -5.043977,   97544.68,  336001.50,   15992.30,            15949.77,   126.17,  76038.30,           65415.65,   -154.45,   -131.83,         124.65,  +1.88,  -0.75
  7,     UK003E,       0,  0.282268, 2459521.537170330994,   7.33173, -11.76128,              227.60235,  15.05217,       227.60889,       15.05344,      7.33173,     -11.76128,       7.32783,      -11.75718,  2669081.88,  3275086.72,  4889432.75,      49.357242,       -5.069424,   96025.13,  337635.20,   18705.60,            18663.07,   203.79,  67294.20,           65949.24,    -28.85,    -24.65,          23.18,  +1.63,  -1.01
  8,     UK003E,       0,  0.322568, 2459521.537170797121,   7.10856, -12.03272,              227.66916,  14.70982,       227.68104,       14.71212,      7.10856,     -12.03272,       7.10066,      -12.02526,  2670432.50,  3273942.25,  4887560.96,      49.346665,       -5.093596,   94582.97,  339199.78,   21281.96,            21239.43,   145.78,  63929.49,           66063.64,    -52.78,    -45.10,          42.22,  +2.24,  -0.41
  0,     UK003K,       0,  0.016203, 2459521.537167235743,  37.81374,   2.14253,              198.06276,  40.30691,       198.07081,       40.31063,     37.81374,      +2.14253,      37.80851,       +2.14739,  2659993.49,  3282787.88,  4902028.13,      49.428157,       -4.906797,  105747.27,  161445.81,       0.00,             1326.69,   259.81,      0.00,           64007.37,    -18.25,     -8.75,          25.86,  +2.28,  +1.24
  1,     UK003K,       0,  0.056911, 2459521.537167706992,  37.18846,   1.48524,              198.68900,  39.53752,       198.68336,       39.53493,     37.18846,      +1.48524,      37.19242,       +1.48182,  2661340.14,  3281646.79,  4900161.85,      49.417677,       -4.930898,  104304.76,  161763.14,    2568.77,             3895.45,   167.54,  63102.25,           64007.37,     12.87,      6.17,          18.21,  +0.99,  -0.05
  2,     UK003K,       0,  0.097587, 2459521.537168177776,  36.60403,   0.84808,              199.25620,  38.79321,       199.25482,       38.79258,     36.60403,      +0.84808,      36.60534,       +0.84724,  2662628.97,  3280554.68,  4898375.68,      49.407638,       -4.953971,  102924.82,  162104.76,    5027.26,             6353.94,   -32.93,  60440.84,           64007.37,      3.16,      1.52,           4.46,  +0.73,  -0.32
  3,     UK003K,       0,  0.138363, 2459521.537168649491,  35.93031,   0.11792,              199.89702,  37.93615,       199.89646,       37.93590,     35.93031,      +0.11792,      35.93125,       +0.11758,  2664117.87,  3279293.04,  4896312.26,      49.396030,       -4.980600,  101331.45,  162544.63,    7867.37,             9194.06,   141.70,  69651.57,           64007.37,      1.30,      0.63,           1.84,  +0.43,  -0.62
  4,     UK003K,       0,  0.179051, 2459521.537169120740,  35.33702,  -0.52695,              200.44858,  37.17677,       200.45046,       37.17762,     35.33702,      -0.52695,      35.33649,       -0.52578,  2665437.68,  3278174.68,  4894483.16,      49.385730,       -5.004224,   99919.71,  162975.54,   10384.96,            11711.65,    -0.45,  61875.58,           64027.63,     -4.42,     -2.12,           6.21,  +0.55,  -0.51
  5,     UK003K,       0,  0.219695, 2459521.537169591058,  34.76589,  -1.13485,              200.97264,  36.45590,       200.96764,       36.45363,     34.76589,      -1.13485,      34.77021,       -1.13798,  2666700.47,  3277104.64,  4892733.09,      49.375866,       -5.026836,   98569.58,  163423.46,   12793.77,            14120.46,  -248.50,  59266.09,           63354.44,     11.87,      5.70,          16.62,  +0.71,  -0.36
  6,     UK003K,       0,  0.260475, 2459521.537170063239,  34.07654,  -1.87353,              201.59048,  35.57795,       201.58055,       35.57347,     34.07654,      -1.87353,      34.08443,       -1.87978,  2668240.66,  3275799.54,  4890598.58,      49.363824,       -5.054378,   96923.70,  164015.57,   15731.73,            17058.42,    23.71,  72044.11,           64046.63,     23.84,     11.44,          33.26,  +0.66,  -0.41
  7,     UK003K,       0,  0.301055, 2459521.537170532625,  33.56393,  -2.42263,              202.04075,  34.92320,       202.02829,       34.91759,     33.56393,      -2.42263,      33.57377,       -2.43052,  2669392.02,  3274823.92,  4889002.94,      49.354814,       -5.075009,   95693.89,  164492.17,   17927.98,            19254.67,  -432.72,  54121.51,           63510.57,     30.17,     14.48,          41.96,  +1.10,  +0.02
  8,     UK003K,       0,  0.341635, 2459521.537171002477,  33.06313,  -2.97535,              202.46843,  34.26608,       202.46575,       34.26488,     33.06313,      -2.97535,      33.06641,       -2.97705,  2670541.83,  3273849.61,  4887409.45,      49.345809,       -5.095613,   94466.22,  164996.16,   20121.28,            21447.97,  -892.10,  54048.69,           62631.60,      6.54,      3.14,           9.07,  +2.42,  +1.33

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.