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: 04XY186 # Created Wed Nov 27 02:08:43 2024 # Orbit generated from Bernstein formalism # Fitting 3 observations of 3 # Arc: 2.00d # First observation: 2004/12/12 # Last observation: 2004/12/14 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.115243 0.000002 0.007668 0.061744 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 13.56 DOF: 1 RMS: 0.38 # Min/Max residuals: -0.37 0.73 # Exact a, adot, b, bdot, g, gdot: 2.982651E-05 1.186449E-01 3.636971E-06 7.510812E-03 6.308376E-02 7.867812E-04 # Covariance matrix: 4.8641E-11 1.7660E-07 -2.4411E-12 -9.7516E-09 6.8032E-08 -1.7729E-09 1.7660E-07 6.5796E-04 -9.0808E-09 -3.6275E-05 2.5307E-04 -7.8190E-06 -2.4411E-12 -9.0808E-09 1.2254E-12 2.5659E-10 -3.4933E-09 4.2592E-11 -9.7516E-09 -3.6275E-05 2.5659E-10 2.0981E-06 -1.3955E-05 6.4920E-07 6.8032E-08 2.5307E-04 -3.4933E-09 -1.3955E-05 9.7354E-05 -2.7415E-06 -1.7729E-09 -7.8190E-06 4.2592E-11 6.4920E-07 -2.7415E-06 2.9060E-03 # lat0 lon0 xBary yBary zBary JD0 -1.413172 15.936652 -0.887957 -0.010398 -0.425859 2453351.814203 # Heliocentric elements and errors Epoch: 2453350.5000 = 2004/12/11 Mean Anomaly: 3.54211 +/- 26.083 Argument of Peri: 328.69406 +/- 81.498 Long of Asc Node: 39.37272 +/- 7.769 Inclination: 3.95482 +/- 1.374 Eccentricity: 0.46555902 +/- 0.0746 Semi-Major Axis: 30.31905493 +/- 7.5574 Time of Perihelion: 2452750.5267 +/- 4412.3 Perihelion: 16.20374554 +/- 4.6298 Aphelion: 44.43436432 +/- 11.3046 Period (y) 166.9482 +/- 62.42 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 15.39943939 +/- 2.3834 Ecliptic Y 5.32290390 +/- 0.6805 Ecliptic Z -0.39088872 +/- 0.0611 Ecliptic XDOT -0.00137411 +/- 0.0023 Ecliptic YDOT 0.00495566 +/- 0.0007 Ecliptic ZDOT 0.00032511 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 16.29812362 +/- 2.2629 Geocenter to KBO 15.85193940 +/- 2.4794 # Hcoef: 12.92
The following table shows the complete astrometric record for 04XY186. 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 (04XY186) followed by the observatory code and reference code for the source of the astrometry.
2004 12 12.31346 01 00 54.37 +04 57 56.5 25.1R 04XY186 568 Cn7976 2004 12 13.32341 01 00 52.39 +04 57 55.6 24.9R 04XY186 568 Cn7976 2004 12 14.31742 01 00 50.72 +04 57 54.1 24.7R 04XY186 568 Cn7976
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 -0.02 0.00 -0.36
2 0.0028 -27.67 0.04 10.53 0.73
3 0.0055 -51.29 -0.01 18.73 -0.37
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.
04XY186 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