Orbital Analysis for matched events on 20211103_044542.706_UK

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Summary for Event
-----------------
shower ID 526 SLD
Lg 125.26° Bg 53.95° Vg 47.97km/s
mass 0.04395g, abs. mag -0.6
best visual mag 0.7
Path Details
------------
start -4.41° 53.16° 107.77km
end   -4.47° 53.11° 94.25km

Orbit Details
-------------
Semimajor axis 3.27A.U., eccentricity 0.70, inclination 87.15°, Period 5.93Y, LA Sun 220.69°, last Perihelion 2015-12-09

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: 2459521.698410953395
Time: 2021-11-03 04:45:42.706373 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0029 and UK003Y
 Convergence angle = 48.70431 deg
 R.A. = 159.69308  Dec = +68.46952 deg

Best intersection: Stations UK0029 and UK003Y with Qconv = 48.70 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1312943.03 +/- 24.80 m
 Y =   3669523.18 +/- 49.23 m
 Z =   5167317.72 +/- 180.49 m
 Vx =   -16782.18 +/- 217.84 m/s
 Vy =     6100.54 +/- 353.38 m/s
 Vz =    45880.50 +/- 543.77 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.343967e+02, -2.775210e+02, +9.855644e+02, +3.063645e+03, -4.740622e+01, +3.475138e+03
-2.775210e+02, +2.111036e+03, -4.110750e+03, -4.467450e+03, +9.358365e+03, -1.552347e+04
+9.855644e+02, -4.110750e+03, +2.946551e+04, +3.843399e+04, -2.571645e+04, +6.520858e+04
+3.063645e+03, -4.467450e+03, +3.843399e+04, +6.254053e+04, -2.347920e+04, +7.793075e+04
-4.740622e+01, +9.358365e+03, -2.571645e+04, -2.347920e+04, +5.838673e+04, -9.121740e+04
+3.475138e+03, -1.552347e+04, +6.520858e+04, +7.793075e+04, -9.121740e+04, +2.007316e+05

Timing offsets (from input data):
    UK0029: 0.000000 s
    UK003Y: 0.001244 s

Reference point on the trajectory:
  Time: 2021-11-03 04:45:42.706373 UTC
  Lon     = +-4.409096 +/- 0.0004 deg
  Lat     = +53.157155 +/- 0.0012 deg
  Lat geo = +52.975384 +/- 0.0012 deg
  Ht      =  107742.14 +/- 127.58 m

  JD dynamic   = 2459521.699211694300 
  LST apparent = 109.6870382463 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 160.02314 +/- 0.7101 deg
  Dec       = +68.73411 +/- 0.5181 deg
  Azimuth   =  36.77762 +/- 1.0459 deg
  Elevation = +62.20284 +/- 0.2970 deg
  Vavg      =  47.76962 +/- 0.3817 km/s
  Vinit     =  49.23290 +/- 0.4140 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 160.59812 +/- 0.7101 deg
  Dec       = +68.49624 +/- 0.5181 deg
  Azimuth   =  37.34148 +/- 1.0459 deg
  Elevation = +62.02681 +/- 0.2970 deg
  Vavg      =  47.84972 +/- 0.3817 km/s
  Vinit     =  49.31300 +/- 0.4140 km/s
Radiant (geocentric, J2000):
  R.A.   = 160.65638 +/- 0.7248 deg
  Dec    = +68.90035 +/- 0.5214 deg
  Vg     =  47.96571 +/- 0.4247 km/s
  Vinf   =  49.23290 +/- 0.4140 km/s
  Zc     =  27.94295 +/- 0.2982 deg
  Zg     =  28.31463 +/- 0.2970 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 125.25751 +/- 0.4851 deg
  Bg     = +53.95472 +/- 0.5072 deg
  Vh     =  38.95507 +/- 0.6019 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   8.77179 +/- 1.6619 deg
  Bh     = +84.61117 +/- 0.3149 deg
  Vh_x   =  -3.61564 +/- 0.2485 km/s
  Vh_y   =  -0.55791 +/- 0.1188 km/s
  Vh_z   = -38.78290 +/- 0.5874 km/s
Orbit:
  La Sun = 220.685033 +/- 0.0000 deg
  a      =   3.274644 +/- 1.1578 AU
  e      =   0.699378 +/- 0.0531
  i      =  87.145065 +/- 0.1909 deg
  peri   = 191.116145 +/- 0.6380 deg
  node   = 220.686907 +/- 0.0000 deg
  Pi     =  51.803052 +/- 0.6380 deg
  q      =   0.984429 +/- 0.0009 AU
  f      = 348.884664 +/- 0.6380 deg
  M      = 358.587281 +/- 0.3449 deg
  Q      =   5.564859 +/- 2.3158 AU
  n      =   0.166325 +/- 0.0386 deg/day
  T      =   5.925797 +/- 3.9209 years
  Last perihelion JD = 2457365.757939 (2015-12-09 06:11:25.890989) +/- 1432.3316 days
  Tj     =   1.645740 +/- 0.2772
Shower association:
  IAU No.  =  526
  IAU code =  SLD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.012886e-03, -4.728793e-06, -4.575171e+01, -8.197311e-08, -4.772195e-03, -5.826885e-03
q   , -4.728793e-06, +8.591307e-07, +9.352763e-02, +1.004050e-09, -6.005923e-04, +7.173280e-05
Tp  , -4.575171e+01, +9.352763e-02, +1.178143e+06, +1.402745e-03, +1.156629e+02, +9.972926e+01
node, -8.197311e-08, +1.004050e-09, +1.402745e-03, +7.786267e-12, -3.879680e-07, +5.529152e-07
peri, -4.772195e-03, -6.005923e-04, +1.156629e+02, -3.879680e-07, +4.532868e-01, -2.785188e-02
i   , -5.826885e-03, +7.173280e-05, +9.972926e+01, +5.529152e-07, -2.785188e-02, +3.926489e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.779687
 a2 = 17.215056

Mean time residuals from time vs. length:
  Station with reference time: UK0029
  Avg. res. = 6.180e-06 s
  Stddev    = 2.49e-03 s

Begin point on the trajectory:
  Lon =    -4.408949 +/- 0.0004 deg
  Lat =    53.157273 +/- 0.0012 deg
  Ht  = 107773.77 +/- 117.79 m
End point on the trajectory:
  Lon =    -4.473135 +/- 0.0004 deg
  Lat =    53.106665 +/- 0.0008 deg
  Ht  = 94245.91 +/- 73.94 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
    UK0029,   False,    -4.441783,    52.004778,  230.00,   0.062231,  25.359279,   107773.77,    94245.91,          0.016449,     46.65,      1.72,              30.42, 1.0000,    True,    True, {"ff_name": "FF_UK0029_20211103_044541_826_1024256.fits"}
    UK003Y,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   105446.61,    95179.53,          0.010656,     34.00,     31.53,              90.80, 1.0000,    True,    True, {"ff_name": "FF_UK003Y_20211103_044542_761_1038592.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,     UK0029,       0,  0.000000, 2459521.698410953395, 286.35187,  77.15807,                0.94653,  39.17964,         0.98117,       39.16258,    286.35187,     +77.15807,     286.23448,      +77.13977, -1312955.22,  3669527.61,  5167351.04,      53.157273,       -4.408949,  107773.77,  168216.12,       0.00,               35.76,   411.23,      0.00,           47455.61,     -3.45,    -93.35,         114.55,  +3.43,  +2.30
  1,     UK0029,       0,  0.040128, 2459521.698411417659, 286.98399,  76.91894,                0.77682,  38.93486,         0.78661,       38.93005,    286.98399,     +76.91894,     286.95097,      +76.91385, -1312418.30,  3669332.43,  5165883.17,      53.152073,       -4.415583,  106380.44,  166861.99,    1575.13,             1539.37,   -60.77,  39252.52,           47455.61,     -0.95,    -26.23,          32.44,  +2.10,  +0.99
  2,     UK0029,       0,  0.080292, 2459521.698411882389, 287.86213,  76.60600,                0.53136,  38.61590,         0.52884,       38.61713,    287.86213,     +76.60600,     287.87051,      +76.60729, -1311710.38,  3669075.09,  5163947.81,      53.145213,       -4.424277,  104543.49,  165082.69,    3651.90,             3616.14,    38.61,  51707.29,           47455.61,      0.24,      6.71,           8.39,  +1.12,  +0.03
  3,     UK0029,       0,  0.120460, 2459521.698412347585, 288.66542,  76.29030,                0.29874,  38.29667,         0.27634,       38.30762,    288.66542,     +76.29030,     288.73914,      +76.30149, -1311026.05,  3668826.33,  5162076.92,      53.138577,       -4.432690,  102767.84,  163369.41,    5659.49,             5623.74,    68.62,  49980.03,           47455.61,      2.10,     59.01,          74.55,  +0.95,  -0.12
  4,     UK0029,       0,  0.160580, 2459521.698412811849, 289.46774,  76.03430,                0.05729,  38.03914,         0.05827,       38.03866,    289.46774,     +76.03430,     289.46488,      +76.03382, -1310443.70,  3668614.64,  5160484.85,      53.132927,       -4.439876,  101256.91,  161916.84,    7367.89,             7332.13,  -198.21,  42582.04,           46875.91,     -0.09,     -2.56,           3.26,  +0.69,  -0.36
  5,     UK0029,       0,  0.200764, 2459521.698413277045, 290.40606,  75.66436,              359.76497,  37.67008,       359.76447,       37.67033,    290.40606,     +75.66436,     290.40818,      +75.66460, -1309664.14,  3668331.26,  5158353.61,      53.125359,       -4.449440,   99234.44,  159980.35,    9654.85,             9619.09,   110.38,  56912.30,           48145.26,      0.05,      1.32,           1.70,  +0.77,  -0.25
  6,     UK0029,       0,  0.240896, 2459521.698413741309, 291.09167,  75.39251,              359.54385,  37.40081,       359.54848,       37.39855,    291.09167,     +75.39251,     291.07760,      +75.39032, -1309101.70,  3668126.80,  5156815.99,      53.119895,       -4.456389,   97775.37,  158589.09,   11304.82,            11269.07,  -215.46,  41113.70,           47845.48,     -0.44,    -11.93,          15.52,  +1.54,  +0.54
  7,     UK0029,       0,  0.281084, 2459521.698414206505, 291.93071,  75.02285,              359.26331,  37.03663,       359.26477,       37.03592,    291.93071,     +75.02285,     291.92695,      +75.02217, -1308367.49,  3667859.91,  5154808.74,      53.112758,       -4.465411,   95870.80,  156780.53,   13458.74,            13422.99,   -40.12,  53596.01,           48200.23,     -0.14,     -3.74,           4.92,  +1.66,  +0.68
  8,     UK0029,       0,  0.321220, 2459521.698414671235, 292.73461,  74.71321,              358.98720,  36.73475,       359.01894,       36.71931,    292.73461,     +74.71321,     292.63686,      +74.69882, -1307741.05,  3667632.19,  5153096.13,      53.106665,       -4.473135,   94245.91,  155244.49,   15296.48,            15260.73,  -178.39,  45787.88,           48204.99,     -3.04,    -80.58,         107.14,  +2.00,  +1.04
  9,     UK0029,       1,  0.361388, 2459521.698415135965, 293.19519,  74.41470,              358.81822,  36.44196,       358.80840,       36.44672,    293.19519,     +74.41470,     293.22655,      +74.41909, -1307212.26,  3667439.97,  5151650.46,      53.101519,       -4.479682,   92874.33,  153953.09,   16847.79,            16812.03,  -604.67,  38620.37,           47684.42,      0.91,     24.75,          33.18,  +6.03,  +5.09
  0,     UK003Y,       0,  0.058841, 2459521.698411904741,  88.99608,  -8.35039,              203.98572,  24.02549,       203.99380,       24.02632,     88.99608,      -8.35039,      88.98903,       -8.34784, -1312058.43,  3669201.61,  5164899.33,      53.148587,       -4.420093,  105446.61,  249135.52,       0.00,             2595.09,    73.64,      0.00,           47376.50,    -21.94,     23.68,          26.73,  +2.27,  +0.29
  1,     UK003Y,       0,  0.099221, 2459521.698412372265,  88.81431,  -8.75391,              204.07245,  23.59094,       204.05019,       23.58865,     88.81431,      -8.75391,      88.83398,       -8.76096, -1311406.06,  3668964.47,  5163115.83,      53.142263,       -4.428120,  103753.85,  249182.62,    1913.81,             4508.91,    -0.57,  47395.08,           47376.50,     60.71,    -65.45,          73.90,  +2.04,  +0.06
  2,     UK003Y,       0,  0.139577, 2459521.698412839323,  88.68963,  -9.15804,              204.09845,  23.16913,       204.10392,       23.16969,     88.68963,      -9.15804,      88.68515,       -9.15630, -1310781.38,  3668737.39,  5161408.03,      53.136204,       -4.435816,  102133.02,  249241.68,    3746.41,             6341.50,  -154.82,  45410.71,           47376.50,    -14.97,     16.14,          18.22,  +1.41,  -0.57
  3,     UK003Y,       0,  0.179977, 2459521.698413306847,  88.52178,  -9.59199,              204.16112,  22.70825,       204.16244,       22.70839,     88.52178,      -9.59199,      88.52113,       -9.59157, -1310093.15,  3668487.21,  5159526.49,      53.129525,       -4.444279,  100347.44,  249321.97,    5765.42,             8360.51,  -124.81,  49975.53,           47376.50,     -3.61,      3.90,           4.40,  +1.23,  -0.75
  4,     UK003Y,       0,  0.220393, 2459521.698413774371,  88.33940, -10.04390,              204.23328,  22.22651,       204.22315,       22.22547,     88.33940,     -10.04390,      88.34907,      -10.04716, -1309372.14,  3668225.11,  5157555.34,      53.122523,       -4.453140,   98476.94,  249423.44,    7880.60,            10475.69,     0.57,  52335.19,           48563.74,     27.95,    -30.13,          33.98,  +1.82,  -0.16
  5,     UK003Y,       0,  0.260801, 2459521.698414242361,  88.18609, -10.50528,              204.27207,  21.74244,       204.28331,       21.74359,     88.18609,     -10.50528,      88.17691,      -10.50165, -1308652.09,  3667963.36,  5155586.80,      53.115525,       -4.461991,   96609.05,  249542.68,    9992.98,            12588.08,   123.55,  52276.41,           49433.42,    -31.10,     33.55,          37.81,  +3.01,  +1.02
  6,     UK003Y,       0,  0.301117, 2459521.698414708953,  88.05253, -10.85240,              204.31942,  21.37395,       204.32965,       21.37501,     88.05253,     -10.85240,      88.04438,      -10.84908, -1308101.00,  3667763.03,  5154080.17,      53.110166,       -4.468806,   95179.53,  249646.96,   11609.69,            14204.79,  -244.62,  40100.87,           48745.91,    -28.40,     30.63,          34.51,  +3.60,  +1.61

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.