Orbital Analysis for matched events on 20211103_053857.322_UK

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Summary for Event
-----------------
shower ID 445 KUM
Lg 126.33° Bg 27.68° Vg 62.55km/s
mass 0.02867g, abs. mag 0.4
best visual mag 0.9
Path Details
------------
start -0.58° 51.39° 109.79km
end   -0.60° 51.39° 99.42km

Orbit Details
-------------
Semimajor axis 3.09A.U., eccentricity 0.68, inclination 130.93°, Period 5.42Y, LA Sun 220.72°, last Perihelion 2016-06-14

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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: 2459521.735385681037
Time: 2021-11-03 05:38:57.322842 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002B
 Convergence angle = 64.77028 deg
 R.A. = 138.86707  Dec = +45.16498 deg

Best intersection: Stations UK000F and UK002B with Qconv = 64.77 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2434081.68 +/- 59.65 m
 Y =   3245879.24 +/- 40.92 m
 Z =   5046226.21 +/- 33.67 m
 Vx =   -33495.75 +/- 252.77 m/s
 Vy =    29700.59 +/- 121.98 m/s
 Vz =    45071.59 +/- 231.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.832967e+03, -2.468086e+03, -2.017570e+03, +1.389285e+04, -3.844721e+03, +1.307320e+04
-2.468086e+03, +1.807466e+03, +1.381969e+03, -8.315069e+03, +3.896588e+03, -8.898076e+03
-2.017570e+03, +1.381969e+03, +1.289103e+03, -6.426952e+03, +2.203773e+03, -6.327580e+03
+1.389285e+04, -8.315069e+03, -6.426952e+03, +6.510552e+04, -1.017441e+04, +5.603476e+04
-3.844721e+03, +3.896588e+03, +2.203773e+03, -1.017441e+04, +1.681054e+04, -1.895881e+04
+1.307320e+04, -8.898076e+03, -6.327580e+03, +5.603476e+04, -1.895881e+04, +5.506808e+04

Timing offsets (from input data):
    UK000F: 0.000000 s
    UK002B: -0.001122 s
    UK002C: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 05:38:57.322842 UTC
  Lon     = +-0.577285 +/- 0.0004 deg
  Lat     = +51.385428 +/- 0.0003 deg
  Lat geo = +51.200811 +/- 0.0003 deg
  Ht      =  109773.47 +/- 66.91 m

  JD dynamic   = 2459521.736186421942 
  LST apparent = 126.8661947924 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 138.43669 +/- 0.2066 deg
  Dec       = +45.19421 +/- 0.2934 deg
  Azimuth   = 124.36585 +/- 0.9200 deg
  Elevation = +80.14041 +/- 0.2839 deg
  Vavg      =  61.40085 +/- 0.2798 km/s
  Vinit     =  63.52589 +/- 0.0000 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 138.80715 +/- 0.2066 deg
  Dec       = +45.15566 +/- 0.2934 deg
  Azimuth   = 123.50560 +/- 0.9200 deg
  Elevation = +79.92244 +/- 0.2839 deg
  Vavg      =  61.44334 +/- 0.2798 km/s
  Vinit     =  63.56838 +/- 0.0000 km/s
Radiant (geocentric, J2000):
  R.A.   = 138.15515 +/- 0.2086 deg
  Dec    = +45.23420 +/- 0.2956 deg
  Vg     =  62.54935 +/- 0.0000 km/s
  Vinf   =  63.52589 +/- 0.0000 km/s
  Zc     =   9.75655 +/- 0.2822 deg
  Zg     =   9.83231 +/- 0.2844 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 126.32809 +/- 0.2420 deg
  Bg     = +27.68125 +/- 0.2510 deg
  Vh     =  38.74344 +/- 0.1100 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 120.20065 +/- 0.5401 deg
  Bh     = +48.59032 +/- 0.3607 deg
  Vh_x   =  12.89084 +/- 0.2509 km/s
  Vh_y   = -22.14811 +/- 0.0891 km/s
  Vh_z   = -29.05755 +/- 0.2438 km/s
Orbit:
  La Sun = 220.722072 +/- -0.0000 deg
  a      =   3.086926 +/- 0.0816 AU
  e      =   0.684397 +/- 0.0097
  i      = 130.928009 +/- 0.3973 deg
  peri   = 197.104760 +/- 0.7009 deg
  node   = 220.724827 +/- 0.0000 deg
  Pi     =  57.829587 +/- 0.7008 deg
  q      =   0.974244 +/- 0.0015 AU
  f      = 342.896283 +/- 0.7009 deg
  M      = 357.634884 +/- 0.0813 deg
  Q      =   5.199609 +/- 0.1644 AU
  n      =   0.181725 +/- 0.0083 deg/day
  T      =   5.423630 +/- 0.2095 years
  Last perihelion JD = 2457553.735663 (2016-06-14 05:39:21.249527) +/- 76.1721 days
  Tj     =   0.950172 +/- 0.0457
Shower association:
  IAU No.  =  445
  IAU code =  KUM

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +9.776349e-05, -1.148384e-05, -7.784948e-01, -9.836350e-08, +4.993224e-03, -3.985538e-03
q   , -1.148384e-05, +2.383978e-06, +8.776301e-02, +1.054895e-08, -1.096208e-03, +4.269852e-04
Tp  , -7.784948e-01, +8.776301e-02, +6.224197e+03, +7.863296e-04, -3.793006e+01, +3.187338e+01
node, -9.836350e-08, +1.054895e-08, +7.863296e-04, +9.996703e-11, -4.529189e-06, +4.050456e-06
peri, +4.993224e-03, -1.096208e-03, -3.793006e+01, -4.529189e-06, +5.064383e-01, -1.832843e-01
i   , -3.985538e-03, +4.269852e-04, +3.187338e+01, +4.050456e-06, -1.832843e-01, +1.641264e-01

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: UK000F
  Avg. res. = 9.771e-06 s
  Stddev    = 3.13e-03 s

Begin point on the trajectory:
  Lon =    -0.577230 +/- 0.0004 deg
  Lat =    51.385405 +/- 0.0003 deg
  Ht  = 109794.81 +/- 62.12 m
End point on the trajectory:
  Lon =    -0.598958 +/- 0.0004 deg
  Lat =    51.394409 +/- 0.0003 deg
  Ht  = 99420.85 +/- 57.16 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000001,   0.000000,   109794.81,    99420.85,          0.008355,     18.14,      3.45,              24.06, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20211103_053850_331_1121024.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   108882.89,   101985.40,          0.011719,     16.21,     23.02,              37.47, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20211103_053848_745_1118720.fits"}
    UK002C,    True,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   110466.93,   102859.37,          0.020386,       nan,       nan,              29.99, 0.0000,    True,    True, {"ff_name": "FF_UK002C_20211103_053850_282_1116416.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,     UK000F,       0,  0.000000, 2459521.735385681037, 150.95717,  22.67326,              137.38243,  55.10771,       137.36852,       55.10694,    150.95717,     +22.67326,     150.96524,      +22.67618, -2434096.03,  3245891.96,  5046245.51,      51.385405,       -0.577230,  109794.81,  133217.14,       0.00,               27.21,    97.51,      0.00,           62014.40,     -3.47,    -18.27,          28.79,  +4.30,  +3.68
  1,     UK000F,       0,  0.040384, 2459521.735386148561, 151.14562,  22.25597,              137.44030,  54.65676,       137.45069,       54.65733,    151.14562,     +22.25597,     151.13971,      +22.25377, -2432786.51,  3244730.82,  5044483.44,      51.387527,       -0.582358,  107347.53,  130960.64,    2483.55,             2456.34,   -20.92,  61498.29,           62014.40,      2.58,     13.55,          21.73,  +1.45,  +0.86
  2,     UK000F,       0,  0.080796, 2459521.735386616085, 151.32084,  21.79779,              137.54527,  54.17449,       137.53672,       54.17402,    151.32084,     +21.79779,     151.32623,      +21.79961, -2431427.79,  3243526.04,  5042655.15,      51.389730,       -0.587677,  104808.32,  128628.47,    5060.41,             5033.20,   -49.54,  63764.80,           62014.40,     -2.11,    -11.09,          18.11,  +0.86,  +0.31
  3,     UK000F,       0,  0.121200, 2459521.735387083609, 151.50588,  21.35520,              137.62053,  53.70170,       137.61927,       53.70163,    151.50588,     +21.35520,     151.50713,      +21.35547, -2430145.37,  3242388.92,  5040929.54,      51.391811,       -0.592711,  102411.70,  126435.78,    7492.56,             7465.36,  -227.53,  60195.87,           62014.40,     -0.31,     -1.62,           2.69,  +1.20,  +0.69
  4,     UK000F,       0,  0.161728, 2459521.735387552995, 151.75574,  20.78404,              137.69725,  53.08649,       137.72200,       53.08785,    151.75574,     +20.78404,     151.74152,      +20.77866, -2428544.91,  3240969.81,  5038775.98,      51.394409,       -0.598958,   99420.85,  123713.20,   10527.88,            10500.68,   200.49,  74894.39,           64474.98,      6.03,     31.66,          53.73,  +3.98,  +3.52
  0,     UK002B,       0,  0.010201, 2459521.735385810956, 198.05767,  64.82374,               40.73137,  51.68583,        40.69776,       51.69189,    198.05767,     +64.82374,     198.05598,      +64.84542, -2433608.04,  3245459.27,  5045588.88,      51.386196,       -0.579125,  108882.89,  138014.83,       0.00,              898.27,    28.97,      0.00,           58110.78,    -42.73,     30.10,          78.11,  +2.59,  +1.89
  1,     UK002B,       0,  0.050593, 2459521.735386278480, 199.40002,  64.87075,               40.42538,  51.14611,        40.43654,       51.14409,    199.40002,     +64.87075,     199.40047,      +64.86346, -2432427.11,  3244412.14,  5043999.83,      51.388110,       -0.583767,  106675.88,  136238.85,    2239.68,             3137.96,   -77.23,  55448.69,           58110.78,     14.16,     -9.99,          26.24,  +1.48,  +0.81
  2,     UK002B,       0,  0.091069, 2459521.735386746936, 200.94396,  64.86478,               40.15106,  50.51368,        40.14514,       50.51474,    200.94396,     +64.86478,     200.94444,      +64.86869, -2431109.22,  3243243.57,  5042226.49,      51.390247,       -0.588933,  104212.97,  134273.96,    4739.11,             5637.38,    67.64,  61750.71,           58110.78,     -7.50,      5.29,          14.09,  +1.22,  +0.58
  3,     UK002B,       0,  0.131501, 2459521.735387214925, 202.37930,  64.86280,               39.87575,  49.92999,        39.88049,       49.92914,    202.37930,     +64.86280,     202.37961,      +64.85963, -2429917.27,  3242186.67,  5040622.62,      51.392181,       -0.593625,  101985.40,  132511.91,    6999.67,             7897.94,   -19.38,  55910.36,           58110.78,      6.00,     -4.23,          11.42,  +2.66,  +2.05
  0,     UK002C,       1, -1.072434, 2459521.735373268835, 178.89409,  39.13534,               87.07623,  51.51356,        87.07456,       51.51378,    178.89409,     +39.13534,     178.89018,      +39.13631, -2434452.80,  3246208.32,  5046725.59,      51.384827,       -0.571399,  110466.93,  140208.90,       0.00,              703.85,    45.39,     -0.00,           63443.98,     -2.51,     -0.67,           3.82,  +3.53,  +2.80
  1,     UK002C,       1, -1.032034, 2459521.735373736359, 179.49404,  38.90692,               86.92512,  51.00318,        86.90706,       51.00549,    179.49404,     +38.90692,     179.49608,      +38.91741, -2433134.87,  3245039.71,  5044952.18,      51.386962,       -0.576558,  108004.32,  138048.32,    2499.51,             1795.66,   -18.36,  61869.11,           63443.98,    -26.99,     -7.23,          41.74,  +1.78,  +1.08
  2,     UK002C,       1, -0.991622, 2459521.735374203883, 180.10509,  38.67012,               86.77294,  50.48006,        86.73917,       50.48437,    180.10509,     +38.67012,     180.11310,      +38.68987, -2431825.62,  3243878.80,  5043190.47,      51.389085,       -0.581688,  105557.96,  135913.49,    4982.55,             4278.70,   -99.34,  61443.14,           63443.98,    -50.22,    -13.46,          78.90,  +1.23,  +0.56
  3,     UK002C,       1, -0.951150, 2459521.735374672338, 180.79792,  38.39722,               86.60150,  49.88329,        86.55225,       49.88956,    180.79792,     +38.39722,     180.81211,      +38.42627, -2430381.37,  3242598.19,  5041247.11,      51.391428,       -0.587335,  102859.37,  133573.35,    7721.61,             7017.76,    72.30,  67677.89,           63443.98,    -72.84,    -19.55,         116.45,  +1.39,  +0.76

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.