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: 04OL12 # Created Fri Nov 22 02:08:38 2024 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 0.90y # First observation: 2004/07/16 # Last observation: 2005/06/09 Preliminary a, adot, b, bdot, g, gdot: -0.000023 0.022411 0.000001 -0.000393 0.023222 0.000000 # Chi-squared of fit: 5.50 DOF: 12 RMS: 0.14 # Min/Max residuals: -0.28 0.20 # Exact a, adot, b, bdot, g, gdot: 1.440201E-05 2.238642E-02 1.107206E-06 -3.951920E-04 2.347551E-02 1.504400E-03 # Covariance matrix: 5.1298E-13 5.5421E-12 -1.2602E-14 -5.4927E-14 2.5248E-12 2.2861E-10 5.5421E-12 5.2796E-10 -6.8451E-13 -4.4884E-12 1.6853E-10 1.8943E-08 -1.2602E-14 -6.8451E-13 2.5256E-13 -3.3561E-13 -2.3531E-13 -2.5052E-11 -5.4927E-14 -4.4884E-12 -3.3561E-13 1.3839E-12 -1.4520E-12 -1.6186E-10 2.5248E-12 1.6853E-10 -2.3531E-13 -1.4520E-12 5.6038E-11 6.1177E-09 2.2861E-10 1.8943E-08 -2.5052E-11 -1.6186E-10 6.1177E-09 6.8284E-07 # lat0 lon0 xBary yBary zBary JD0 -2.731087 -71.048319 -0.091121 -0.048298 -1.014258 2453202.668413 # Heliocentric elements and errors Epoch: 2453200.5000 = 2004/07/14 Mean Anomaly: 80.78819 +/- 3.820 Argument of Peri: 160.40520 +/- 0.304 Long of Asc Node: 39.69253 +/- 0.067 Inclination: 2.85001 +/- 0.001 Eccentricity: 0.07168127 +/- 0.0370 Semi-Major Axis: 43.88964457 +/- 0.2633 Time of Perihelion: 2429367.0497 +/- 1106.4 Perihelion: 40.74357909 +/- 1.6438 Aphelion: 47.03571006 +/- 1.6498 Period (y) 290.7711 +/- 2.62 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 14.23121593 +/- 0.0044 Ecliptic Y -41.17180370 +/- 0.0128 Ecliptic Z -2.02965810 +/- 0.0006 Ecliptic XDOT 0.00252334 +/- 0.0000 Ecliptic YDOT 0.00067726 +/- 0.0001 Ecliptic ZDOT -0.00005429 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.60922424 +/- 0.0122 Geocenter to KBO 42.59758609 +/- 0.0136 # Hcoef: 6.12
The following table shows the complete astrometric record for 04OL12. 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 (04OL12) followed by the observatory code and reference code for the source of the astrometry.
2004 07 16.16767 19 23 45.27 -24 48 11.8 22.0R 04OL12 807 Cl0722 2004 07 16.30130 19 23 44.58 -24 48 12.9 04OL12 807 Cl0722 2004 07 17.04876 19 23 40.83 -24 48 20.0 04OL12 807 Cl0722 2004 08 12.06973 19 21 38.94 -24 51 48.5 22.3R 04OL12 807 Cl2726 2004 08 12.17692 19 21 38.47 -24 51 49.3 04OL12 807 Cl2726 2004 09 17.26273 19 19 53.51 -24 53 30.0 04OL12 568 Cl5744 2004 09 18.25252 19 19 52.19 -24 53 29.1 04OL12 568 Cl5744 2005 06 9.22550 19 32 15.652 -24 31 16.95 22.2R 04OL12 304 2005 06 9.25740 19 32 15.527 -24 31 17.56 04OL12 304
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 0.14 0.00 -0.28
2 0.0004 -9.46 0.04 0.25 -0.09
3 0.0024 -61.01 -0.22 0.48 0.05
4 0.0737 -1733.16 0.13 26.91 0.08
5 0.0739 -1739.61 -0.08 27.00 -0.04
6 0.1727 -3168.46 -0.17 122.78 0.16
7 0.1755 -3186.14 0.15 126.10 0.20
8 0.8982 7033.55 -0.02 -40.20 0.10
9 0.8983 7031.77 0.02 -40.53 -0.17
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.
04OL12 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.887 45.186 43.608 ecceobj 0.066 0.176 0.007 incobj 2.856 2.858 2.855 qmin 40.172 36.290 42.132 qmax 48.070 54.876 45.507 amean 44.034 45.389 43.724 amin 43.690 44.985 43.388 amax 44.406 45.853 44.066 emean 0.067 0.176 0.012 emin 0.050 0.157 0.000 emax 0.083 0.197 0.033 imean 2.240 2.393 2.101 imin 1.434 1.174 1.314 imax 2.914 3.587 2.785 excite_mean 0.078 0.181 0.039 fracstop 1.000 1.000 1.000 cjmean 3.094 3.078 3.096 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 180.9 174.4 172.4 kozaiamp 180.0 179.9 180.0