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: 09MG10 # Created Tue Jan 21 02:09:14 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 21 observations of 21 # Arc: 8.02y # First observation: 2009/06/27 # Last observation: 2017/07/03 # Chi-squared of fit: 66.23 DOF: 36 RMS: 0.31 # Min/Max residuals: -0.75 0.76 # Exact a, adot, b, bdot, g, gdot: 2.104132E-05 3.774975E-02 -5.712742E-06 -1.059777E-02 3.151534E-02 6.986198E-03 # Covariance matrix: 2.2613E-13 -7.3147E-14 -6.4503E-15 1.3968E-14 1.7275E-13 -1.6020E-13 -7.3147E-14 2.5878E-13 3.2746E-14 -7.2751E-14 1.8283E-13 8.5273E-13 -6.4503E-15 3.2746E-14 1.3986E-13 -2.9213E-14 2.5174E-14 1.1121E-13 1.3968E-14 -7.2751E-14 -2.9213E-14 2.8474E-14 -5.6900E-14 -2.4718E-13 1.7275E-13 1.8283E-13 2.5174E-14 -5.6900E-14 6.9844E-13 6.7631E-13 -1.6020E-13 8.5273E-13 1.1121E-13 -2.4718E-13 6.7631E-13 2.8981E-12 # lat0 lon0 xBary yBary zBary JD0 -12.592249 -58.036932 0.451549 -0.197566 -0.884394 2455009.772146 # Heliocentric elements and errors Epoch: 2455010.5000 = 2009/06/28 Mean Anomaly: 16.35860 +/- 0.006 Argument of Peri: 182.68285 +/- 0.010 Long of Asc Node: 84.40533 +/- 0.000 Inclination: 19.93400 +/- 0.000 Eccentricity: 0.35780842 +/- 0.0001 Semi-Major Axis: 48.27415069 +/- 0.0078 Time of Perihelion: 2449443.5920 +/- 2.3 Perihelion: 31.00125294 +/- 0.0064 Aphelion: 65.54704845 +/- 0.0113 Period (y) 335.4132 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 16.49346525 +/- 0.0004 Ecliptic Y -27.28369536 +/- 0.0007 Ecliptic Z -6.91778403 +/- 0.0002 Ecliptic XDOT 0.00299420 +/- 0.0000 Ecliptic YDOT 0.00140826 +/- 0.0000 Ecliptic ZDOT -0.00103093 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.62335912 +/- 0.0006 Geocenter to KBO 31.73051051 +/- 0.0008 # Hcoef: 6.96
The following table shows the complete astrometric record for 09MG10. 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 (09MG10) followed by the observatory code and reference code for the source of the astrometry.
2009 06 27.27138 20 30 03.532 -31 57 47.39 21.7R 09MG10 807 C~0LKv 2009 06 27.32851 20 30 03.193 -31 57 49.27 21.6R 09MG10 807 C~0LKv 2009 06 27.38056 20 30 02.916 -31 57 51.36 21.9R 09MG10 807 C~0LKv 2009 07 18.05903 20 27 55.829 -32 09 12.17 09MG10 I11 C~0LKv 2009 07 18.11666 20 27 55.478 -32 09 14.17 09MG10 I11 C~0LKv 2009 07 18.16319 20 27 55.160 -32 09 15.69 09MG10 I11 C~0LKv 2009 08 24.99028 20 23 52.134 -32 22 31.42 22.2r 09MG10 304 C~0LKw 2009 08 25.02361 20 23 51.942 -32 22 31.80 09MG10 304 C~0LKw 2010 06 10.416585 20 41 53.51 -31 48 35.0 09MG10 807 C~4qBx 2010 06 10.427693 20 41 53.47 -31 48 35.4 09MG10 807 C~4qBx 2010 06 10.437919 20 41 53.41 -31 48 36.1 09MG10 807 C~4qBx 2010 06 11.312696 20 41 50.11 -31 49 08.7 09MG10 807 C~4qBx 2010 06 11.330541 20 41 50.03 -31 49 09.3 09MG10 807 C~4qBx 2011 08 21.182054 20 45 22.43 -32 24 31.0 09MG10 809 C~4qBx 2011 08 21.211572 20 45 22.24 -32 24 31.4 09MG10 809 C~4qBx 2011 08 21.239343 20 45 22.09 -32 24 32.0 09MG10 809 C~4qBx 2017 07 02.330150 21 49 01.96 -30 52 01.6 09MG10 W84 C~4qBx 2017 07 02.331528 21 49 01.96 -30 52 01.6 09MG10 W84 C~4qBx 2017 07 03.308472 21 48 58.12 -30 52 43.1 09MG10 W84 C~4qBx 2017 07 03.372037 21 48 57.84 -30 52 45.4 09MG10 W84 C~4qBx 2017 07 03.373414 21 48 57.86 -30 52 45.7 09MG10 W84 C~4qBx
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 -0.52 0.00 -0.03
2 0.0002 0.00 -0.75 0.00 0.10
3 0.0003 0.00 -0.48 0.00 -0.17
4 0.0569 0.00 -0.29 0.00 0.29
5 0.0571 0.00 0.19 0.00 0.05
6 0.0572 0.00 0.09 0.00 -0.06
7 0.1608 0.00 0.53 0.00 0.01
8 0.1609 0.00 0.53 0.00 0.00
9 0.9532 0.00 0.73 0.00 0.23
10 0.9532 0.00 0.76 0.00 0.24
11 0.9532 0.00 0.44 0.00 -0.09
12 0.9556 0.00 -0.21 0.00 -0.19
13 0.9557 0.00 -0.37 0.00 -0.12
14 2.1490 0.00 -0.30 0.00 -0.14
15 2.1490 0.00 -0.39 0.00 -0.05
16 2.1491 0.00 -0.05 0.00 -0.19
17 8.0139 0.00 0.04 0.00 -0.08
18 8.0139 0.00 0.13 0.00 -0.02
19 8.0165 0.00 0.02 0.00 -0.12
20 8.0167 0.00 -0.28 0.00 0.27
21 8.0167 0.00 0.10 0.00 0.03
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.
09MG10 quality flag:2 Type: 2:1E CENTAURR 2:1E axisobj 47.702 47.702 47.702 ecceobj 0.351 0.351 0.351 incobj 19.985 19.985 19.985 qmin 29.739 28.971 30.502 qmax 66.694 68.877 66.140 amean 47.796 47.796 47.796 amin 47.119 46.851 47.093 amax 48.692 49.352 48.709 emean 0.346 0.370 0.342 emin 0.309 0.339 0.315 emax 0.377 0.403 0.362 imean 18.770 17.303 19.720 imin 17.151 15.983 18.284 imax 20.578 18.813 20.767 excite_mean 0.473 0.475 0.481 fracstop 1.000 0.890 1.000 cjmean 2.868 2.864 2.859 libcent 0 179.7 -180.0 179.4 libamp 0 156.8 -180.0 159.0 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 187.6 180.2 182.8 kozaiamp 179.9 179.9 179.9