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: 09MA10 # Created Wed Mar 26 01:09:09 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 10 observations of 10 # Arc: 11.01y # First observation: 2009/06/21 # Last observation: 2020/06/24 # Chi-squared of fit: 3.61 DOF: 14 RMS: 0.11 # Min/Max residuals: -0.22 0.29 # Exact a, adot, b, bdot, g, gdot: 1.323910E-05 1.846599E-02 8.695830E-07 4.690448E-04 2.341222E-02 2.231969E-03 # Covariance matrix: 8.3804E-13 5.0999E-11 -2.5049E-15 1.3044E-12 5.6668E-11 2.5263E-10 5.0999E-11 5.8852E-09 -2.7938E-13 1.5043E-10 6.1732E-09 2.9137E-08 -2.5049E-15 -2.7938E-13 3.6731E-13 -4.0519E-14 -3.0220E-13 -1.3831E-12 1.3044E-12 1.5043E-10 -4.0519E-14 3.8503E-12 1.5778E-10 7.4479E-10 5.6668E-11 6.1732E-09 -3.0220E-13 1.5778E-10 6.8242E-09 3.0560E-08 2.5263E-10 2.9137E-08 -1.3831E-12 7.4479E-10 3.0560E-08 1.4426E-07 # lat0 lon0 xBary yBary zBary JD0 2.252990 -85.339132 0.085546 0.039622 -1.008024 2455003.861876 # Heliocentric elements and errors Epoch: 2455004.5000 = 2009/06/22 Mean Anomaly: 153.24490 +/- 2.685 Argument of Peri: 251.16661 +/- 2.624 Long of Asc Node: 218.18260 +/- 0.021 Inclination: 2.64274 +/- 0.000 Eccentricity: 0.31747342 +/- 0.0033 Semi-Major Axis: 33.69848661 +/- 0.1343 Time of Perihelion: 2424588.8191 +/- 563.0 Perihelion: 23.00011289 +/- 0.1428 Aphelion: 44.39686032 +/- 0.2081 Period (y) 195.6247 +/- 1.17 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 3.46834128 +/- 0.0125 Ecliptic Y -43.55485248 +/- 0.1536 Ecliptic Z 1.67920626 +/- 0.0061 Ecliptic XDOT 0.00217800 +/- 0.0000 Ecliptic YDOT -0.00007794 +/- 0.0000 Ecliptic ZDOT 0.00006497 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.72492264 +/- 0.1530 Geocenter to KBO 42.71270362 +/- 0.1542 # Hcoef: 9.92
The following table shows the complete astrometric record for 09MA10. 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 (09MA10) followed by the observatory code and reference code for the source of the astrometry.
2009 06 21.36111 18 19 58.31 -21 06 20.0 09MA10 568 C~0DXS 2009 06 21.41180 18 19 58.07 -21 06 19.7 09MA10 568 C~0DXS 2009 06 22.36944 18 19 53.20 -21 06 21.8 09MA10 568 C~0DXS 2009 06 22.43542 18 19 52.86 -21 06 22.2 25.2R 09MA10 568 C~0DXS 2020 06 21.45390 19 08 34.504 -19 59 18.62 26.3r 09MA10 266 C~8eLQ 2020 06 21.53376 19 08 34.119 -19 59 19.17 26.3r 09MA10 266 C~8eLQ 2020 06 21.61261 19 08 33.739 -19 59 19.70 26.3r 09MA10 266 C~8eLQ 2020 06 24.43648 19 08 20.249 -19 59 39.25 26.5r 09MA10 266 C~8eLQ 2020 06 24.52739 19 08 19.804 -19 59 39.90 26.5r 09MA10 266 C~8eLQ 2020 06 24.61708 19 08 19.366 -19 59 40.52 26.5r 09MA10 266 C~8eLQ
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 -0.17 0.00 -0.12 2 0.0001 0.00 0.15 0.00 0.29 3 0.0028 0.00 -0.01 0.00 0.05 4 0.0029 0.00 -0.00 0.00 -0.22 5 11.0009 0.00 -0.02 0.00 0.07 6 11.0012 0.00 -0.01 0.00 0.05 7 11.0014 0.00 -0.02 0.00 0.04 8 11.0091 0.00 -0.01 0.00 -0.04 9 11.0094 0.00 -0.00 0.00 -0.06 10 11.0096 0.00 -0.00 0.00 -0.07
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.
09MA10 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 33.491 33.491 33.491 ecceobj 0.324 0.324 0.324 incobj 2.653 2.653 2.653 qmin 22.165 22.368 22.434 qmax 44.328 44.329 44.328 amean 32.513 32.845 33.100 amin 31.864 31.799 32.746 amax 33.555 33.555 33.555 emean 0.307 0.307 0.306 emin 0.294 0.287 0.294 emax 0.324 0.324 0.324 imean 5.063 4.857 5.223 imin 3.518 3.518 3.518 imax 6.177 6.634 6.791 excite_mean 0.320 0.319 0.320 fracstop 0.006 0.005 0.005 cjmean 2.898 2.899 2.899 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 264.2 263.4 262.3 kozaiamp 13.3 15.9 9.0