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 Thu May 24 01:37:51 2012 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 58.75d # First observation: 2009/06/27 # Last observation: 2009/08/25 Preliminary a, adot, b, bdot, g, gdot: -0.000016 0.038334 -0.000001 -0.010585 0.031552 0.000000 # Chi-squared of fit: 3.60 DOF: 10 RMS: 0.12 # Min/Max residuals: -0.19 0.25 # Exact a, adot, b, bdot, g, gdot: 1.866896E-05 3.772422E-02 -5.265116E-06 -1.060150E-02 3.150230E-02 5.988322E-03 # Covariance matrix: 4.9203E-13 1.0632E-11 3.8068E-14 -7.3467E-13 3.7283E-12 3.5331E-10 1.0632E-11 4.7073E-08 7.7382E-11 -4.2754E-10 7.8567E-09 -1.8882E-08 3.8068E-14 7.7382E-11 4.8934E-13 -3.6723E-12 1.3110E-11 1.3218E-11 -7.3467E-13 -4.2754E-10 -3.6723E-12 5.4202E-11 -7.8445E-11 -1.5416E-09 3.7283E-12 7.8567E-09 1.3110E-11 -7.8445E-11 1.3295E-09 9.5880E-10 3.5331E-10 -1.8882E-08 1.3218E-11 -1.5416E-09 9.5880E-10 1.0123E-06 # lat0 lon0 xBary yBary zBary JD0 -12.592249 -58.036932 0.451548 -0.197566 -0.884394 2455009.772146 # Heliocentric elements and errors Epoch: 2455000.5000 = 2009/06/18 Mean Anomaly: 14.92812 +/- 2.107 Argument of Peri: 187.04889 +/- 4.890 Long of Asc Node: 84.42742 +/- 0.152 Inclination: 19.94359 +/- 0.066 Eccentricity: 0.33896241 +/- 0.0187 Semi-Major Axis: 47.54248523 +/- 0.8371 Time of Perihelion: 2450035.4484 +/- 688.6 Perihelion: 31.42737002 +/- 1.0479 Aphelion: 63.65760043 +/- 1.4312 Period (y) 327.8167 +/- 8.66 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 16.50018423 +/- 0.0190 Ecliptic Y -27.29460510 +/- 0.0304 Ecliptic Z -6.92063165 +/- 0.0080 Ecliptic XDOT 0.00294871 +/- 0.0000 Ecliptic YDOT 0.00147954 +/- 0.0001 Ecliptic ZDOT -0.00101277 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.63658514 +/- 0.0272 Geocenter to KBO 31.74370940 +/- 0.0367 # Hcoef: 6.99
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
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 -0.01 2 0.0002 -4.65 -0.10 -0.75 0.16 3 0.0003 -8.58 0.05 -1.90 -0.15 4 0.0569 -1742.00 -0.19 -264.70 0.25 5 0.0571 -1746.81 0.15 -265.56 -0.08 6 0.0572 -1751.10 0.04 -266.05 -0.17 7 0.1608 -4935.33 0.00 -302.59 0.00 8 0.1609 -4937.78 0.00 -302.39 0.00
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:1 Type: CENTAURR REMOVED CENTAURR axisobj 46.996 49.930 44.745 ecceobj 0.332 0.391 0.286 incobj 19.995 19.913 20.162 qmin 28.881 30.391 29.548 qmax 86.911 70.031 65.924 amean 50.170 50.026 46.186 amin 46.322 49.501 44.255 amax 58.511 50.219 48.599 emean 0.390 0.391 0.333 emin 0.327 0.385 0.283 emax 0.485 0.395 0.377 imean 14.995 18.434 16.227 imin 9.415 18.379 13.810 imax 18.524 18.460 18.697 excite_mean 0.470 0.503 0.436 fracstop 0.506 0.010 0.623 cjmean 2.894 2.850 2.893 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 180.0 182.9 190.9 kozaiamp 180.0 4.4 179.8