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: 11UU412 # Created Fri Nov 1 01:09:06 2024 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 36.01d # First observation: 2011/10/25 # Last observation: 2011/11/30 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.047451 -0.000000 0.014733 0.033549 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 4.89 DOF: 17 RMS: 0.12 # Min/Max residuals: -0.26 0.26 # Exact a, adot, b, bdot, g, gdot: 1.699808E-05 3.427090E-02 7.432599E-06 1.458800E-02 3.147305E-02 -3.570558E-03 # Covariance matrix: 1.8381E-12 3.6700E-09 -2.2070E-14 2.5668E-11 5.5126E-10 -2.7087E-08 3.6700E-09 8.1363E-06 -4.7181E-11 5.4247E-08 1.2167E-06 -6.2048E-05 -2.2070E-14 -4.7181E-11 1.6526E-13 -2.2426E-12 -7.1604E-12 3.1571E-10 2.5668E-11 5.4247E-08 -2.2426E-12 5.6136E-10 8.2723E-09 -3.4635E-07 5.5126E-10 1.2167E-06 -7.1604E-12 8.2723E-09 1.8224E-07 -9.1553E-06 -2.7087E-08 -6.2048E-05 3.1571E-10 -3.4635E-07 -9.1553E-06 5.2509E-04 # lat0 lon0 xBary yBary zBary JD0 3.102143 32.504791 0.018504 0.053616 -0.989403 2455859.820796 # Heliocentric elements and errors Epoch: 2455850.5000 = 2011/10/16 Mean Anomaly: 337.22723 +/- 90.499 Argument of Peri: 41.87060 +/- 152.397 Long of Asc Node: 25.42668 +/- 0.582 Inclination: 23.19597 +/- 1.714 Eccentricity: 0.20116002 +/- 0.4970 Semi-Major Axis: 39.82846301 +/- 11.6713 Time of Perihelion: 2461658.1712 +/- 22938.1 Perihelion: 31.81656864 +/- 21.8808 Aphelion: 47.84035738 +/- 24.2564 Period (y) 251.3614 +/- 110.49 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.60535169 +/- 0.3629 Ecliptic Y 17.56725715 +/- 0.2312 Ecliptic Z 1.71968095 +/- 0.0233 Ecliptic XDOT -0.00192514 +/- 0.0018 Ecliptic YDOT 0.00231575 +/- 0.0009 Ecliptic ZDOT 0.00125041 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 32.76616042 +/- 0.3299 Geocenter to KBO 31.77321576 +/- 0.4310 # Hcoef: 9.71
The following table shows the complete astrometric record for 11UU412. 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 (11UU412) followed by the observatory code and reference code for the source of the astrometry.
2011 10 25.32003 01 56 49.730 +15 15 12.77 11UU412 568 C~1CKy 2011 10 25.32517 01 56 49.699 +15 15 12.68 24.3r 11UU412 568 C~1CKy 2011 10 25.36849 01 56 49.415 +15 15 11.60 24.9r 11UU412 568 C~1CKy 2011 10 25.42298 01 56 49.068 +15 15 10.50 24.7r 11UU412 568 C~1CKy 2011 10 25.47742 01 56 48.711 +15 15 08.92 11UU412 568 C~1CKy 2011 10 25.48274 01 56 48.702 +15 15 08.93 11UU412 568 C~1CKy 2011 10 26.27399 01 56 43.808 +15 14 49.12 24.6r 11UU412 568 C~1CKy 2011 10 26.32667 01 56 43.470 +15 14 47.86 24.6r 11UU412 568 C~1CKy 2011 10 26.36985 01 56 43.194 +15 14 46.76 24.5r 11UU412 568 C~1CKy 2011 11 24.28776 01 53 54.064 +15 02 58.67 25.0r 11UU412 568 C~1CKy 2011 11 30.33399 01 53 24.148 +15 00 47.45 25.2r 11UU412 568 C~1CKy
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 0.05 0.00 -0.02 2 0.0000 -0.45 0.08 0.07 0.00 3 0.0001 -4.68 -0.07 0.49 0.03 4 0.0003 -9.77 -0.01 1.20 0.26 5 0.0004 -15.17 -0.26 1.52 0.10 6 0.0004 -15.28 0.12 1.57 0.11 7 0.0026 -88.58 0.10 7.63 -0.20 8 0.0028 -93.60 0.03 8.15 -0.15 9 0.0029 -97.73 -0.03 8.51 -0.17 10 0.0820 -2639.75 -0.01 200.51 0.07 11 0.0986 -3091.71 0.01 229.81 -0.04
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.
11UU412 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