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: 10WG9 # Created Thu May 24 01:37:54 2012 # Orbit generated from Bernstein formalism # Fitting 21 observations of 21 # Arc: 1.90y # First observation: 2009/12/24 # Last observation: 2011/11/18 Preliminary a, adot, b, bdot, g, gdot: 0.000467 0.045786 0.000485 0.084382 0.049646 0.000000 # Chi-squared of fit: 68.16 DOF: 36 RMS: 0.32 # Min/Max residuals: -0.67 0.68 # Exact a, adot, b, bdot, g, gdot: 1.675982E-05 4.599460E-02 2.412590E-05 8.633342E-02 5.374068E-02 1.085431E-02 # Covariance matrix: 3.9598E-13 -4.2319E-13 6.7270E-14 -2.2659E-13 -1.2717E-13 -1.5456E-12 -4.2319E-13 6.8887E-13 -1.8427E-13 6.1133E-13 1.7276E-13 4.0550E-12 6.7270E-14 -1.8427E-13 4.3577E-13 -5.9995E-13 -1.1452E-13 -2.0560E-12 -2.2659E-13 6.1133E-13 -5.9995E-13 1.3406E-12 4.1316E-13 6.8866E-12 -1.2717E-13 1.7276E-13 -1.1452E-13 4.1316E-13 7.3186E-13 3.1554E-12 -1.5456E-12 4.0550E-12 -2.0560E-12 6.8866E-12 3.1554E-12 4.6495E-11 # lat0 lon0 xBary yBary zBary JD0 -44.061841 71.730685 -0.348712 -0.641896 -0.663341 2455189.554926 # Heliocentric elements and errors Epoch: 2455180.5000 = 2009/12/15 Mean Anomaly: 3.53392 +/- 0.002 Argument of Peri: 292.80059 +/- 0.009 Long of Asc Node: 92.03845 +/- 0.000 Inclination: 70.28357 +/- 0.000 Eccentricity: 0.65086912 +/- 0.0001 Semi-Major Axis: 53.68574721 +/- 0.0118 Time of Perihelion: 2453770.1028 +/- 0.6 Perihelion: 18.74335218 +/- 0.0058 Aphelion: 88.62814224 +/- 0.0199 Period (y) 393.3659 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 4.15348393 +/- 0.0001 Ecliptic Y 13.68069825 +/- 0.0002 Ecliptic Z -12.94028868 +/- 0.0002 Ecliptic XDOT -0.00113861 +/- 0.0000 Ecliptic YDOT 0.00402194 +/- 0.0000 Ecliptic ZDOT 0.00277595 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 19.28377568 +/- 0.0002 Geocenter to KBO 18.60787748 +/- 0.0003 # Hcoef: 8.09
The following table shows the complete astrometric record for 10WG9. 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 (10WG9) followed by the observatory code and reference code for the source of the astrometry.
2009 12 24.05416 05 03 57.120 -21 30 25.92 10WG9 809 C~0Qo8 2009 12 24.13778 05 03 56.135 -21 30 19.65 20.5R 10WG9 809 C~0Qo8 2009 12 24.23061 05 03 55.052 -21 30 12.81 20.5R 10WG9 809 C~0Qo8 2010 11 30.07446 05 16 46.267 -16 34 46.74 20.4R 10WG9 809 C~0Ppr 2010 11 30.18013 05 16 45.049 -16 34 44.94 20.7R 10WG9 809 C~0Ppr 2010 11 30.27530 05 16 43.896 -16 34 43.71 20.6R 10WG9 809 C~0Ppr 2010 12 01.06675 05 16 34.602 -16 34 31.18 20.8R 10WG9 809 C~0Ppr 2010 12 01.20571 05 16 32.932 -16 34 28.45 20.6R 10WG9 809 C~0Ppr 2010 12 01.30845 05 16 31.699 -16 34 27.01 20.7R 10WG9 809 C~0Ppr 2010 12 04.04326 05 15 59.271 -16 33 31.14 21.0R 10WG9 809 C~0Qo8 2010 12 04.19098 05 15 57.497 -16 33 27.14 20.9R 10WG9 809 C~0Qo8 2010 12 04.29854 05 15 56.197 -16 33 25.56 20.7R 10WG9 809 C~0Qo8 2010 12 06.13307 05 15 34.231 -16 32 37.73 20.7R 10WG9 807 C~0Qo8 2010 12 07.19471 05 15 21.575 -16 32 06.68 20.8R 10WG9 809 C~0Qo8 2010 12 07.27939 05 15 20.515 -16 32 03.98 21.1R 10WG9 809 C~0Qo8 2010 12 23.16253 05 12 10.806 -16 19 32.20 20.7R 10WG9 807 C~0Qo8 2010 12 23.21019 05 12 10.234 -16 19 29.42 20.9R 10WG9 807 C~0Qo8 2011 04 04.38578 05 05 59.52 -12 35 17.7 10WG9 E10 C~0V9Q 2011 04 04.40272 05 05 59.62 -12 35 15.1 10WG9 E10 C~0V9Q 2011 11 18.21324 05 26 10.549 -11 30 30.89 21.0R 10WG9 807 C~0fFL 2011 11 18.28330 05 26 09.798 -11 30 31.23 20.9R 10WG9 807 C~0fFL
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 -0.67 0.00 0.26 2 0.0002 -12.78 -0.25 8.06 0.25 3 0.0005 -26.84 0.32 16.86 0.03 4 0.9337 13379.60 -0.13 16045.56 -0.22 5 0.9340 13362.46 0.48 16050.00 -0.05 6 0.9342 13346.16 0.20 16053.72 -0.23 7 0.9364 13215.14 0.14 16086.35 -0.50 8 0.9368 13191.68 0.07 16092.69 -0.07 9 0.9370 13174.26 -0.01 16096.79 -0.43 10 0.9445 12719.01 -0.02 16222.50 -0.23 11 0.9449 12694.25 0.20 16230.31 0.36 12 0.9452 12675.89 0.07 16234.68 -0.63 13 0.9503 12369.02 -0.64 16329.59 0.07 14 0.9532 12192.73 0.68 16387.68 0.30 15 0.9534 12177.98 0.29 16392.64 0.50 16 0.9969 9576.18 -0.17 17543.37 0.10 17 0.9970 9568.40 -0.31 17547.34 -0.18 18 1.2767 6135.77 0.29 31833.17 0.04 19 1.2768 6137.60 0.21 31835.61 0.19 20 1.9005 24624.78 -0.24 33167.56 0.16 21 1.9007 24613.55 -0.50 33168.95 0.28
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.
10WG9 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 54.075 54.075 54.076 ecceobj 0.653 0.653 0.653 incobj 70.257 70.257 70.257 qmin 16.176 16.109 16.263 qmax 91.406 91.096 91.399 amean 53.019 52.852 52.855 amin 52.137 51.847 51.940 amax 54.253 54.075 54.342 emean 0.670 0.669 0.672 emin 0.642 0.642 0.642 emax 0.693 0.694 0.691 imean 68.115 68.102 67.996 imin 67.394 67.291 67.383 imax 68.924 68.949 68.925 excite_mean 1.144 1.144 1.145 fracstop 0.054 0.058 0.079 cjmean 1.311 1.313 1.316 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 284.8 285.2 279.5 kozaiamp 8.8 8.4 15.0