Orbital Analysis for matched events on 20210810_005810.766_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 12.22° Bg 11.90° Vg 60.68km/s
mass 0.00714g, abs. mag 0.6
Path Details
------------
start -4.13° 51.74° 106.37km
end   -4.24° 51.78° 97.64km

Orbit Details
-------------
Semimajor axis 22.78A.U., eccentricity 0.99, inclination 146.88°, Period 108.72Y, LA Sun 137.35°, last Perihelion 1912-12-27

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: 2459436.540402389131
Time: 2021-08-10 00:58:10.766421 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK003H
 Convergence angle = 38.16187 deg
 R.A. =   6.52455  Dec = +16.43369 deg

Best intersection: Stations UK0020 and UK003H with Qconv = 38.16 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3454600.26 +/- 17.21 m
 Y =  -2063572.47 +/- 27.22 m
 Z =   5068200.51 +/- 46.99 m
 Vx =    58854.10 +/- 79.47 m/s
 Vy =     6708.98 +/- 210.79 m/s
 Vz =    17226.27 +/- 288.40 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.182179e+02, +1.858931e+02, -2.861610e+02, +6.342159e+02, +7.467973e+02, -2.217629e+03
+1.858931e+02, +7.929682e+02, -1.286031e+03, +1.612838e+03, +4.571346e+03, -6.760572e+03
-2.861610e+02, -1.286031e+03, +2.360098e+03, -2.998434e+03, -7.297578e+03, +1.215713e+04
+6.342159e+02, +1.612838e+03, -2.998434e+03, +6.030527e+03, +1.375204e+04, -2.240116e+04
+7.467973e+02, +4.571346e+03, -7.297578e+03, +1.375204e+04, +4.712811e+04, -5.569055e+04
-2.217629e+03, -6.760572e+03, +1.215713e+04, -2.240116e+04, -5.569055e+04, +8.550510e+04

Timing offsets (from input data):
    UK0020: 0.000000 s
    UK003H: -0.000061 s

Reference point on the trajectory:
  Time: 2021-08-10 00:58:10.766421 UTC
  Lon     = +-4.129459 +/- 0.0004 deg
  Lat     = +51.735653 +/- 0.0002 deg
  Lat geo = +51.551458 +/- 0.0002 deg
  Ht      =  106368.92 +/- 42.88 m

  JD dynamic   = 2459436.541203130037 
  LST apparent = 329.1484198624 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   6.50327 +/- 0.1966 deg
  Dec       = +16.21502 +/- 0.2766 deg
  Azimuth   = 126.19690 +/- 0.1118 deg
  Elevation = +43.78374 +/- 0.3246 deg
  Vavg      =  60.77621 +/- 0.0240 km/s
  Vinit     =  61.68922 +/- 0.0122 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   6.72820 +/- 0.1966 deg
  Dec       = +16.16885 +/- 0.2766 deg
  Azimuth   = 125.97514 +/- 0.1118 deg
  Elevation = +43.63176 +/- 0.3246 deg
  Vavg      =  60.94763 +/- 0.0240 km/s
  Vinit     =  61.86064 +/- 0.0122 km/s
Radiant (geocentric, J2000):
  R.A.   =   6.44088 +/- 0.1977 deg
  Dec    = +15.75361 +/- 0.2793 deg
  Vg     =  60.68258 +/- 0.0124 km/s
  Vinf   =  61.68922 +/- 0.0122 km/s
  Zc     =  46.10767 +/- 0.3246 deg
  Zg     =  46.50884 +/- 0.3276 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  12.21565 +/- 0.0960 deg
  Bg     = +11.89727 +/- 0.3243 deg
  Vh     =  41.36737 +/- 0.0671 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 346.43996 +/- 0.1640 deg
  Bh     = +17.60441 +/- 0.4598 deg
  Vh_x   = -38.33091 +/- 0.0728 km/s
  Vh_y   =   9.24493 +/- 0.1071 km/s
  Vh_z   = -12.51129 +/- 0.3334 km/s
Orbit:
  La Sun = 137.347900 +/- 0.0000 deg
  a      =  22.779012 +/- 7.3232 AU
  e      =   0.986586 +/- 0.0019
  i      = 146.875336 +/- 0.8156 deg
  peri   = 293.988996 +/- 0.4270 deg
  node   = 137.343268 +/- 0.0002 deg
  Pi     =  71.332264 +/- 0.4268 deg
  q      =   0.305558 +/- 0.0031 AU
  f      = 246.004383 +/- 0.4271 deg
  M      = 359.656772 +/- 0.0634 deg
  Q      =  45.252466 +/- 14.6447 AU
  n      =   0.009066 +/- 0.0017 deg/day
  T      = 108.718376 +/- 67.4998 years
  Last perihelion JD = 2419764.322563 (1912-12-27 19:44:29.452858) +/- 24654.7657 days
  Tj     =  -0.343573 +/- 0.0295
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.898244e-06, +3.250980e-06, -4.663248e+01, +4.788978e-09, -9.977306e-06, -2.502613e-05
q   , +3.250980e-06, +9.987052e-06, -4.440073e+01, +7.817412e-09, -2.401694e-05, -4.038689e-05
Tp  , -4.663248e+01, -4.440073e+01, +6.435114e+08, -5.777019e-02, +1.310233e+02, +3.053694e+02
node, +4.788978e-09, +7.817412e-09, -5.777019e-02, +8.061635e-12, -2.051252e-08, -4.174643e-08
peri, -9.977306e-06, -2.401694e-05, +1.310233e+02, -2.051252e-08, +5.939874e-05, +1.061767e-04
i   , -2.502613e-05, -4.038689e-05, +3.053694e+02, -4.174643e-08, +1.061767e-04, +2.164234e-04

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: UK0020
  Avg. res. = 1.365e-05 s
  Stddev    = 3.69e-03 s

Begin point on the trajectory:
  Lon =    -4.129495 +/- 0.0004 deg
  Lat =    51.735670 +/- 0.0002 deg
  Ht  = 106365.93 +/- 38.68 m
End point on the trajectory:
  Lon =    -4.235273 +/- 0.0004 deg
  Lat =    51.783246 +/- 0.0001 deg
  Ht  = 97640.85 +/- 26.80 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
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   106365.93,    97640.85,          0.014811,     31.85,     28.01,              89.35, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210810_005802_941_0411136.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   104462.17,    97761.73,          0.006771,     16.71,     10.74,              94.02, 1.0000,    True,    True, {"ff_name": "FF_UK003H_20210810_005803_908_0415488.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,     UK0020,       0,  0.000000, 2459436.540402389131, 209.83463,  72.32321,              339.94316,  39.88516,       339.96735,       39.87715,    209.83463,     +72.32321,     209.77302,      +72.33089,  3454596.14, -2063572.94,  5068199.31,      51.735670,       -4.129495,  106365.93,  163971.09,       0.00,                4.31,   294.05,      0.00,           58056.96,    -38.21,     43.45,          72.78,  +4.13,  +3.06
  1,     UK0020,       0,  0.040776, 2459436.540402860846, 208.75446,  71.47999,              339.47777,  39.05181,       339.50051,       39.04430,    208.75446,     +71.47999,     208.69834,      +71.48696,  3452124.73, -2063854.66,  5067475.94,      51.745434,       -4.151165,  104573.70,  163999.14,    2590.47,             2594.78,   369.08,  63529.30,           58056.96,    -36.27,     41.24,          69.08,  +3.50,  +2.43
  2,     UK0020,       0,  0.081416, 2459436.540403331630, 207.90157,  70.78374,              339.11468,  38.35860,       339.12288,       38.35590,    207.90157,     +70.78374,     207.88207,      +70.78618,  3450085.50, -2064087.12,  5066879.07,      51.753492,       -4.169091,  103095.28,  164053.82,    4727.93,             4732.24,    -0.51,  52594.95,           58056.96,    -13.18,     14.99,          25.10,  +3.10,  +2.03
  3,     UK0020,       0,  0.122136, 2459436.540403802879, 207.06194,  69.97902,              338.68356,  37.57662,       338.70210,       37.57052,    207.06194,     +69.97902,     207.01871,      +69.98439,  3447760.75, -2064352.13,  5066198.63,      51.762680,       -4.189521,  101410.29,  164149.82,    7164.67,             7168.98,   -75.75,  59841.40,           58056.96,    -30.10,     34.22,          57.27,  +1.88,  +0.80
  4,     UK0020,       0,  0.162908, 2459436.540404274594, 206.13021,  69.13424,              338.28312,  36.72947,       338.26536,       36.73531,    206.13021,     +69.13424,     206.17175,      +69.12927,  3445289.49, -2064633.83,  5065475.30,      51.772447,       -4.211249,   99619.63,  164291.44,    9754.97,             9759.28,    -0.65,  63531.35,           59150.17,     29.13,    -33.12,          55.38,  +2.22,  +1.14
  5,     UK0020,       0,  0.203748, 2459436.540404747240, 205.30730,  68.18219,              337.79615,  35.81191,       337.79500,       35.81229,    205.30730,     +68.18219,     205.31072,      +68.18188,  3442557.77, -2064945.23,  5064675.74,      51.783246,       -4.235273,   97640.85,  164495.18,   12618.29,            12622.60,   343.28,  70110.53,           61033.02,      1.90,     -2.16,           3.61,  +4.23,  +3.15
  0,     UK003H,       1,  0.003271, 2459436.540402427781, 255.01317,  40.78782,              289.75337,  38.72245,       289.64491,       38.70316,    255.01317,     +40.78782,     255.06389,      +40.70998,  3454331.53, -2063603.10,  5068121.86,      51.736715,       -4.131810,  106174.02,  167435.12,       0.00,              281.67,   369.65,      0.00,           60585.43,    137.32,   -213.27,         312.48,  +5.29,  +4.17
  1,     UK003H,       0,  0.043955, 2459436.540402898565, 254.06630,  40.33770,              289.89111,  37.88082,       289.88129,       37.87907,    254.06630,     +40.33770,     254.07120,      +40.33061,  3451970.89, -2063872.20,  5067430.91,      51.746042,       -4.152518,  104462.17,  167669.67,    2474.36,             2756.03,   334.24,  60818.87,           60585.43,     12.58,    -19.57,          28.62,  +3.02,  +1.90
  2,     UK003H,       0,  0.084531, 2459436.540403368417, 253.20381,  39.99656,              290.09316,  37.15619,       290.08437,       37.15463,    253.20381,     +39.99656,     253.20848,      +39.99019,  3449891.76, -2064109.20,  5066822.36,      51.754258,       -4.170792,  102954.84,  167907.37,    4653.65,             4935.32,    10.43,  53708.92,           60585.43,     11.37,    -17.68,          25.83,  +2.45,  +1.32
  3,     UK003H,       0,  0.125283, 2459436.540403839666, 252.10875,  39.53426,              290.33304,  36.21533,       290.34208,       36.21694,    252.10875,     +39.53426,     252.10471,      +39.54085,  3447190.68, -2064417.11,  5066031.77,      51.764933,       -4.194505,  100997.18,  168255.45,    7484.84,             7766.51,   327.67,  69473.73,           60585.43,    -11.85,     18.44,          26.88,  +1.71,  +0.58
  4,     UK003H,       0,  0.165835, 2459436.540404309053, 251.28810,  39.20363,              290.53590,  35.51906,       290.52955,       35.51793,    251.28810,     +39.20363,     251.29206,      +39.19899,  3445172.08, -2064647.22,  5065440.94,      51.772912,       -4.212286,   99534.56,  168548.54,    9600.68,             9882.35,   -58.11,  52176.00,           59569.75,      8.41,    -13.09,          19.04,  +1.63,  +0.50
  5,     UK003H,       0,  0.206507, 2459436.540404779837, 250.32414,  38.77442,              290.74537,  34.67277,       290.75197,       34.67394,    250.32414,     +38.77442,     250.32152,      +38.77926,  3442724.69, -2064926.20,  5064724.60,      51.782586,       -4.233827,   97761.73,  168937.06,   12165.96,            12447.63,    -1.86,  63072.38,           59779.92,     -8.85,     13.77,          19.99,  +1.99,  +0.85

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.