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: 612547 # Created Fri Nov 22 02:07:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 13.00y # First observation: 2003/04/26 # Last observation: 2016/04/27 # Chi-squared of fit: 53.19 DOF: 46 RMS: 0.25 # Min/Max residuals: -0.69 0.56 # Exact a, adot, b, bdot, g, gdot: 1.876070E-05 3.682204E-02 -2.814199E-06 -3.452476E-03 3.130645E-02 2.019151E-03 # Covariance matrix: 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 # lat0 lon0 xBary yBary zBary JD0 1.691618 -163.135993 -0.328760 0.028096 -0.951437 2452755.837983 # Heliocentric elements and errors Epoch: 2452756.5000 = 2003/04/27 Mean Anomaly: 17.49577 +/- 0.000 Argument of Peri: 137.56361 +/- 0.000 Long of Asc Node: 34.39053 +/- 0.000 Inclination: 5.61373 +/- 0.000 Eccentricity: 0.18109987 +/- 0.0000 Semi-Major Axis: 39.57579418 +/- 0.0000 Time of Perihelion: 2448336.9958 +/- 0.0 Perihelion: 32.40862300 +/- 0.0000 Aphelion: 46.74296535 +/- 0.0000 Period (y) 248.9732 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -31.37282919 +/- 0.0000 Ecliptic Y -9.84952236 +/- 0.0000 Ecliptic Z 0.94286794 +/- 0.0000 Ecliptic XDOT 0.00075058 +/- 0.0000 Ecliptic YDOT -0.00314044 +/- 0.0000 Ecliptic ZDOT -0.00029640 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.89610754 +/- 0.0000 Geocenter to KBO 31.94230503 +/- 0.0000 # Hcoef: 7.99
The following table shows the complete astrometric record for 612547. 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 (612547) followed by the observatory code and reference code for the source of the astrometry.
2003 04 26.33724 13 04 46.37 -05 03 48.9 22.5R 612547 568 Cq9883 2003 04 26.38207 13 04 46.12 -05 03 47.6 22.6R 612547 568 Cq9883 2003 04 26.42446 13 04 45.90 -05 03 46.4 22.4R 612547 568 Cq9883 2003 04 27.39143 13 04 40.81 -05 03 18.1 22.5R 612547 568 Cq9883 2003 05 30.28847 13 02 20.62 -04 51 03.7 612547 568 Cq9883 2003 05 30.29942 13 02 20.58 -04 51 03.3 612547 568 Cq9883 2003 05 30.34175 13 02 20.45 -04 51 02.9 612547 568 Cq9883 2003 05 30.38854 13 02 20.31 -04 51 02.3 612547 568 Cq9883 2004 03 29.53109 13 14 48.83 -06 17 10.8 23.1R 612547 568 Cq9883 2004 03 29.55414 13 14 48.71 -06 17 10.1 23. R 612547 568 C80331 2004 03 29.58260 13 14 48.54 -06 17 09.2 22.8R 612547 568 Cq9883 2004 04 16.33899 13 13 09.05 -06 07 40.2 612547 675 Cq9883 2004 04 16.42634 13 13 08.55 -06 07 37.4 612547 675 Cq9883 2005 07 09.20790 13 16 19.90 -06 45 09.9 612547 675 Cq9883 2005 07 11.20209 13 16 21.72 -06 45 29.8 612547 675 Cq9883 2013 03 12.40656 14 23 24.48 -14 32 09.0 23.0R 612547 695 C~0ud4 2013 03 12.48804 14 23 24.15 -14 32 07.4 612547 695 C~0ud4 2013 03 13.44972 14 23 20.71 -14 31 53.0 612547 695 C~0ud4 2013 05 14.24042 14 18 00.24 -14 07 25.0 22.8R 612547 G37 C~0sni 2013 05 14.30667 14 17 59.87 -14 07 23.7 612547 G37 C~0sni 2014 04 30.11337 14 26 48.87 -15 02 57.0 23.5V 612547 W84 C~2fbn 2014 04 30.18231 14 26 48.48 -15 02 55.3 612547 W84 C~2fbn 2014 05 01.10004 14 26 43.21 -15 02 31.3 612547 W84 C~2fbn 2016 04 27.11345 14 41 59.95 -16 38 33.4 612547 W84 C~5kUd 2016 04 27.18573 14 41 59.52 -16 38 31.6 23.9V 612547 W84 C~5kUd 2016 04 27.23906 14 41 59.20 -16 38 30.1 612547 W84 C~5kUd
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 0.22 2 0.0001 0.00 -0.07 0.00 0.20 3 0.0002 0.00 0.06 0.00 0.15 4 0.0029 0.00 0.03 0.00 0.10 5 0.0930 0.00 0.04 0.00 0.31 6 0.0930 0.00 -0.05 0.00 0.56 7 0.0931 0.00 -0.03 0.00 0.38 8 0.0932 0.00 0.03 0.00 0.33 9 0.9259 0.00 -0.30 0.00 -0.23 10 0.9260 0.00 -0.17 0.00 -0.27 11 0.9261 0.00 -0.33 0.00 -0.28 12 0.9747 0.00 0.32 0.00 -0.69 13 0.9749 0.00 0.25 0.00 -0.65 14 2.2036 0.00 -0.04 0.00 -0.20 15 2.2091 0.00 0.24 0.00 -0.28 16 9.8784 0.00 0.25 0.00 0.07 17 9.8786 0.00 -0.26 0.00 0.44 18 9.8812 0.00 -0.15 0.00 0.09 19 10.0504 0.00 0.00 0.00 0.41 20 10.0506 0.00 -0.06 0.00 0.02 21 11.0110 0.00 -0.21 0.00 -0.13 22 11.0112 0.00 -0.01 0.00 -0.21 23 11.0137 0.00 -0.04 0.00 -0.10 24 13.0042 0.00 0.25 0.00 -0.18 25 13.0044 0.00 0.12 0.00 -0.11 26 13.0045 0.00 -0.01 0.00 0.11
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.
612547 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.166 39.166 39.166 ecceobj 0.173 0.173 0.173 incobj 5.631 5.631 5.631 qmin 31.723 31.723 31.722 qmax 47.459 47.458 47.460 amean 39.456 39.456 39.456 amin 39.073 39.071 39.076 amax 39.903 39.904 39.902 emean 0.177 0.177 0.177 emin 0.159 0.159 0.159 emax 0.192 0.192 0.192 imean 5.345 5.345 5.345 imin 4.800 4.800 4.800 imax 5.958 5.958 5.958 excite_mean 0.200 0.200 0.200 fracstop 1.000 1.000 1.000 cjmean 3.006 3.006 3.006 libcent 0 179.1 179.0 179.3 libamp 0 54.4 54.2 54.5 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 177.7 177.6 177.7 kozaiamp 180.0 180.0 180.0