The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 11GN27 # Created Wed Apr 24 01:13:42 2024 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 1.78d # First observation: 2011/04/02 # Last observation: 2011/04/04 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 24.17 DOF: 18 RMS: 0.26 # Min/Max residuals: -0.65 0.37 # Exact a, adot, b, bdot, g, gdot: -1.681920E-05 -5.045248E-02 -6.563890E-06 -1.878744E-02 4.638795E-02 0.000000E+00 # Covariance matrix: 2.5086E-11 7.2711E-08 8.1382E-13 2.0854E-09 1.1654E-08 0.0000E+00 7.2711E-08 2.1339E-04 2.3853E-09 6.1123E-06 3.4159E-05 0.0000E+00 8.1382E-13 2.3853E-09 2.7967E-13 -7.3171E-12 3.8194E-10 0.0000E+00 2.0854E-09 6.1123E-06 -7.3171E-12 2.2303E-07 9.7868E-07 0.0000E+00 1.1654E-08 3.4159E-05 3.8194E-10 9.7868E-07 5.4695E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.3135E-03 # lat0 lon0 xBary yBary zBary JD0 -14.377961 -161.131657 0.117922 -0.247487 -0.965292 2455653.930506 # Heliocentric elements and errors Epoch: 2455650.5000 = 2011/03/30 Mean Anomaly: 179.67779 +/- 177.719 Argument of Peri: 35.36169 +/- 129.380 Long of Asc Node: 51.26924 +/- 7.067 Inclination: 155.63471 +/- 4.078 Eccentricity: 0.22878054 +/- 0.5106 Semi-Major Axis: 18.32762190 +/- 8.4999 Time of Perihelion: 2470005.5376 +/- 10057.2 Perihelion: 14.13461874 +/- 11.4254 Aphelion: 22.52062505 +/- 14.0233 Period (y) 78.4634 +/- 54.58 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -20.73712233 +/- 0.9963 Ecliptic Y -6.96364766 +/- 0.3403 Ecliptic Z -5.35317073 +/- 0.2699 Ecliptic XDOT -0.00070407 +/- 0.0020 Ecliptic YDOT 0.00291276 +/- 0.0012 Ecliptic ZDOT -0.00107409 +/- 0.0005 # Distances at JD0 (AU) Heliocenter to KBO 22.52059210 +/- 0.9256 Geocenter to KBO 21.55732044 +/- 1.0868 # Hcoef: 7.65
The following table shows the complete astrometric record for 11GN27. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (11GN27) followed by the observatory code and reference code for the source of the astrometry.
2011 04 02.42974 12 46 30.97 -20 38 11.1 20.9r 11GN27 F51 C~4qF0 2011 04 02.43996 12 46 30.84 -20 38 10.5 21.0r 11GN27 F51 C~4qF0 2011 04 02.45155 12 46 30.68 -20 38 09.7 21.4g 11GN27 F51 C~4qF0 2011 04 02.46255 12 46 30.55 -20 38 09.2 21.5g 11GN27 F51 C~4qF0 2011 04 03.06579 12 46 22.764 -20 37 31.00 21.1R 11GN27 809 C~0UYn 2011 04 03.20965 12 46 20.885 -20 37 21.79 21.0R 11GN27 809 C~0UYn 2011 04 03.29395 12 46 19.746 -20 37 16.50 21.3R 11GN27 809 C~0UYn 2011 04 03.40546 12 46 18.27 -20 37 10.0 20.7i 11GN27 F51 C~4qF0 2011 04 03.41688 12 46 18.12 -20 37 09.1 20.6i 11GN27 F51 C~4qF0 2011 04 04.05339 12 46 09.950 -20 36 28.22 20.7R 11GN27 809 C~0UYn 2011 04 04.21124 12 46 07.870 -20 36 18.21 20.8R 11GN27 809 C~0UYn
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 -0.08 0.00 0.03
2 0.0000 -1.91 -0.01 -0.18 0.02
3 0.0001 -4.29 -0.14 -0.36 0.05
4 0.0001 -6.16 0.13 -0.63 -0.04
5 0.0017 -121.60 0.34 -9.63 0.04
6 0.0021 -149.45 0.37 -11.82 0.25
7 0.0024 -166.22 -0.03 -13.41 0.01
8 0.0027 -187.80 -0.58 -15.80 -0.45
9 0.0027 -190.09 -0.65 -15.82 -0.29
10 0.0044 -311.55 0.21 -24.58 0.16
11 0.0049 -342.31 0.08 -27.18 0.08
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
11GN27 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0