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: 03QA112 # Created Thu May 24 01:37:17 2012 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 6.06y # First observation: 2003/08/26 # Last observation: 2009/09/18 Preliminary a, adot, b, bdot, g, gdot: -0.000148 0.018025 -0.000021 0.004905 0.021159 0.000000 # Chi-squared of fit: 25.55 DOF: 22 RMS: 0.24 # Min/Max residuals: -0.46 0.51 # Exact a, adot, b, bdot, g, gdot: 1.088253E-05 1.805583E-02 3.694894E-06 4.914427E-03 2.165275E-02 1.047483E-03 # Covariance matrix: 2.8480E-13 -4.1547E-13 1.9025E-14 -1.0861E-13 5.9124E-14 -3.5669E-12 -4.1547E-13 1.9526E-12 -1.0669E-13 5.5464E-13 -4.2755E-14 1.8168E-11 1.9025E-14 -1.0669E-13 2.0983E-13 -6.5841E-14 -1.1595E-14 -9.9744E-13 -1.0861E-13 5.5464E-13 -6.5841E-14 1.7140E-13 -1.1577E-14 5.1945E-12 5.9124E-14 -4.2755E-14 -1.1595E-14 -1.1577E-14 3.7672E-13 -4.4829E-13 -3.5669E-12 1.8168E-11 -9.9744E-13 5.1945E-12 -4.4829E-13 1.7016E-10 # lat0 lon0 xBary yBary zBary JD0 -5.211282 -17.210706 0.181641 -0.090635 -0.994389 2452877.772713 # Heliocentric elements and errors Epoch: 2452870.5000 = 2003/08/19 Mean Anomaly: 152.07490 +/- 0.308 Argument of Peri: 183.41732 +/- 0.299 Long of Asc Node: 0.64733 +/- 0.000 Inclination: 16.05141 +/- 0.000 Eccentricity: 0.12130241 +/- 0.0001 Semi-Major Axis: 42.50084333 +/- 0.0091 Time of Perihelion: 2410119.1538 +/- 85.5 Perihelion: 37.34538845 +/- 0.0095 Aphelion: 47.65629820 +/- 0.0114 Period (y) 277.0796 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.83060507 +/- 0.0012 Ecliptic Y -14.07346096 +/- 0.0004 Ecliptic Z -4.19463604 +/- 0.0001 Ecliptic XDOT 0.00085019 +/- 0.0000 Ecliptic YDOT 0.00211936 +/- 0.0000 Ecliptic ZDOT 0.00060697 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.17457393 +/- 0.0012 Geocenter to KBO 46.18351583 +/- 0.0013 # Hcoef: 5.95
The following table shows the complete astrometric record for 03QA112. 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 (03QA112) followed by the observatory code and reference code for the source of the astrometry.
2003 08 26.27197 23 04 40.32 -11 34 07.6 21.5R 03QA112 807 Ci4592 2003 08 26.36752 23 04 39.92 -11 34 09.7 03QA112 807 Ci4592 2003 09 03.09799 23 04 07.67 -11 37 11.4 22.3R 03QA112 304 Ci4592 2003 09 03.17448 23 04 07.34 -11 37 13.2 03QA112 304 Ci4592 2003 11 20.08134 23 00 08.08 -11 52 30.8 22.7R 03QA112 695 Cj4700 2003 11 22.08697 23 00 06.73 -11 52 18.8 03QA112 695 Cj4700 2004 05 28.30263 23 10 46.50 -10 34 41.7 22.8R 03QA112 304 C~09at 2004 05 28.43256 23 10 46.67 -10 34 40.6 03QA112 304 C~09at 2009 08 20.39468 23 25 18.36 -07 33 19.2 22.6R 03QA112 688 C~09au 2009 08 20.43944 23 25 18.21 -07 33 20.5 03QA112 688 C~09au 2009 09 17.32882 23 23 25.59 -07 44 08.8 22.3R 03QA112 688 C~09au 2009 09 17.38050 23 23 25.37 -07 44 10.2 03QA112 688 C~09au 2009 09 18.31507 23 23 21.50 -07 44 31.4 22.3R 03QA112 688 C~09au 2009 09 18.37524 23 23 21.22 -07 44 32.6 03QA112 688 C~09au
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 0.48 0.00 -0.02 2 0.0003 -6.23 0.51 0.34 0.12 3 0.0214 -513.49 -0.29 16.54 0.17 4 0.0216 -518.66 -0.35 16.75 0.17 5 0.2349 -4114.94 -0.14 525.76 -0.06 6 0.2404 -4128.63 -0.11 544.46 0.01 7 0.7557 6356.60 -0.19 1180.04 -0.46 8 0.7561 6359.34 0.06 1180.07 0.01 9 5.9853 22624.68 -0.31 6061.84 0.23 10 5.9854 22622.09 -0.13 6061.54 -0.16 11 6.0618 20807.80 0.39 6136.80 0.08 12 6.0619 20804.20 0.26 6136.82 -0.12 13 6.0645 20742.36 0.07 6140.36 -0.14 14 6.0646 20738.02 -0.25 6140.92 0.17
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.
03QA112 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 42.842 42.869 42.814 ecceobj 0.113 0.113 0.112 incobj 15.968 15.968 15.968 qmin 37.007 37.018 36.976 qmax 48.553 48.588 48.541 amean 42.751 42.760 42.720 amin 42.691 42.695 42.664 amax 42.812 42.813 42.768 emean 0.124 0.124 0.124 emin 0.114 0.114 0.114 emax 0.135 0.135 0.135 imean 16.011 16.003 16.000 imin 15.269 15.271 15.254 imax 16.608 16.599 16.602 excite_mean 0.303 0.302 0.302 fracstop 1.000 1.000 1.000 cjmean 2.976 2.977 2.976 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 183.1 182.8 184.3 kozaiamp 180.0 179.9 180.0