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: 491767 # Created Tue Oct 17 01:36:53 2017 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 36 observations of 36 # Arc: 7.93y # First observation: 2009/01/16 # Last observation: 2016/12/21 # Chi-squared of fit: 28.13 DOF: 66 RMS: 0.16 # Min/Max residuals: -0.31 0.37 # Exact a, adot, b, bdot, g, gdot: 1.559275E-05 2.725420E-02 7.395921E-06 1.169894E-02 2.745367E-02 -5.656770E-04 # Covariance matrix: 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 # lat0 lon0 xBary yBary zBary JD0 -19.097216 27.281345 -0.988457 -0.007011 -0.020352 2454847.672724 # Heliocentric elements and errors Epoch: 2454848.5000 = 2009/01/17 Mean Anomaly: 5.20519 +/- 0.000 Argument of Peri: 313.28309 +/- 0.000 Long of Asc Node: 65.46376 +/- 0.000 Inclination: 30.14912 +/- 0.000 Eccentricity: 0.07927281 +/- 0.0000 Semi-Major Axis: 39.58100197 +/- 0.0000 Time of Perihelion: 2453533.3890 +/- 0.0 Perihelion: 36.44330461 +/- 0.0000 Aphelion: 42.71869932 +/- 0.0000 Period (y) 249.0224 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.15973370 +/- 0.0000 Ecliptic Y 16.66136598 +/- 0.0000 Ecliptic Z -11.91699096 +/- 0.0000 Ecliptic XDOT -0.00094846 +/- 0.0000 Ecliptic YDOT 0.00256921 +/- 0.0000 Ecliptic ZDOT 0.00112083 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.45853772 +/- 0.0000 Geocenter to KBO 36.42504912 +/- 0.0000 # Hcoef: 8.18
The following table shows the complete astrometric record for 491767. 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 (491767) followed by the observatory code and reference code for the source of the astrometry.
2009 01 16.171958 02 08 32.17 -07 20 50.3 491767 645 C~1QeJ 2009 01 16.172787 02 08 32.17 -07 20 50.3 491767 645 C~1QeJ 2009 01 16.175275 02 08 32.17 -07 20 50.2 491767 645 C~1QeJ 2012 11 15.091134 02 31 40.89 -02 47 13.3 491767 W84 C~1Cs0 2012 11 15.092535 02 31 40.89 -02 47 13.3 491767 W84 C~1Cs0 2012 11 15.095370 02 31 40.87 -02 47 13.4 491767 W84 C~1Cs0 2012 11 15.101192 02 31 40.84 -02 47 13.4 491767 W84 C~1Cs0 2012 12 04.202569 02 30 04.75 -02 48 24.7 491767 W84 C~1Cs0 2012 12 04.203935 02 30 04.75 -02 48 24.7 491767 W84 C~1Cs0 2013 08 30.265162 02 42 18.45 -01 03 06.3 23.8r 491767 W84 C~1Cs0 2013 08 30.288738 02 42 18.42 -01 03 06.8 22.9i 491767 W84 C~1Cs0 2013 08 30.292546 02 42 18.40 -01 03 06.9 23.1z 491767 W84 C~1Cs0 2013 09 08.296649 02 41 58.45 -01 07 06.3 24.3g 491767 W84 C~1Cs0 2013 09 08.298877 02 41 58.44 -01 07 06.1 23.2r 491767 W84 C~1Cs0 2013 09 08.301238 02 41 58.45 -01 07 05.9 23.3i 491767 W84 C~1Cs0 2013 09 08.305035 02 41 58.41 -01 07 05.9 23.0z 491767 W84 C~1Cs0 2014 09 03.397772 02 47 03.65 +00 07 38.3 24.3g 491767 W84 C~1Cs0 2014 09 03.406146 02 47 03.63 +00 07 38.2 23.4z 491767 W84 C~1Cs0 2014 10 02.220718 02 45 28.25 -00 05 11.1 23.2r 491767 W84 C~1Cs0 2014 10 02.223067 02 45 28.23 -00 05 11.1 23.3i 491767 W84 C~1Cs0 2014 10 02.226875 02 45 28.20 -00 05 11.1 22.7z 491767 W84 C~1Cs0 2014 10 22.120961 02 43 49.67 -00 13 34.2 23.3r 491767 W84 C~1Cs0 2014 10 22.123310 02 43 49.67 -00 13 34.5 23.1i 491767 W84 C~1Cs0 2014 10 22.127118 02 43 49.64 -00 13 34.5 22.9z 491767 W84 C~1Cs0 2014 10 27.109352 02 43 22.54 -00 15 23.5 23.9i 491767 W84 C~1Cs0 2014 10 27.113148 02 43 22.54 -00 15 23.5 22.9z 491767 W84 C~1Cs0 2014 10 29.103333 02 43 11.57 -00 16 04.6 23.3r 491767 W84 C~1Cs0 2014 10 29.105694 02 43 11.54 -00 16 04.6 22.6i 491767 W84 C~1Cs0 2014 10 29.109491 02 43 11.52 -00 16 04.8 22.8z 491767 W84 C~1Cs0 2014 11 03.218530 02 42 43.15 -00 17 42.2 22.7r 491767 W84 C~1Cs0 2014 11 03.220891 02 42 43.14 -00 17 42.2 22.8i 491767 W84 C~1Cs0 2016 09 23.292847 02 55 50.92 +02 23 58.2 23.2i 491767 W84 C~2CgH 2016 09 24.298345 02 55 47.20 +02 23 33.5 23.4r 491767 W84 C~2CgH 2016 10 26.224769 02 53 15.94 +02 10 57.3 23.5r 491767 W84 C~2CgH 2016 11 19.179097 02 51 02.76 +02 04 34.6 22.9i 491767 W84 C~2CgH 2016 12 21.130243 02 48 31.16 +02 04 00.5 23.6r 491767 W84 C~2CgH
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 -0.16 0.00 0.37 2 0.0000 0.00 0.07 0.00 -0.18 3 0.0000 0.00 0.08 0.00 -0.19 4 3.8300 0.00 0.01 0.00 0.16 5 3.8300 0.00 0.12 0.00 0.18 6 3.8300 0.00 0.05 0.00 0.11 7 3.8301 0.00 0.08 0.00 0.16 8 3.8824 0.00 0.08 0.00 -0.00 9 3.8824 0.00 0.17 0.00 -0.01 10 4.6190 0.00 0.00 0.00 -0.05 11 4.6191 0.00 0.21 0.00 0.06 12 4.6191 0.00 0.02 0.00 0.05 13 4.6437 0.00 0.09 0.00 -0.31 14 4.6437 0.00 0.03 0.00 -0.05 15 4.6437 0.00 0.27 0.00 0.21 16 4.6438 0.00 -0.17 0.00 0.32 17 5.6296 0.00 0.19 0.00 0.02 18 5.6297 0.00 0.16 0.00 0.13 19 5.7086 0.00 0.11 0.00 0.04 20 5.7086 0.00 -0.03 0.00 0.11 21 5.7086 0.00 -0.22 0.00 0.21 22 5.7630 0.00 -0.10 0.00 0.10 23 5.7630 0.00 0.10 0.00 -0.14 24 5.7631 0.00 -0.04 0.00 -0.06 25 5.7767 0.00 -0.30 0.00 0.05 26 5.7767 0.00 0.01 0.00 0.13 27 5.7822 0.00 -0.06 0.00 -0.01 28 5.7822 0.00 -0.31 0.00 0.04 29 5.7822 0.00 -0.29 0.00 -0.08 30 5.7962 0.00 -0.02 0.00 0.01 31 5.7962 0.00 0.03 0.00 0.05 32 7.6855 0.00 0.29 0.00 -0.22 33 7.6882 0.00 0.20 0.00 -0.01 34 7.7756 0.00 0.29 0.00 -0.21 35 7.8412 0.00 0.30 0.00 -0.04 36 7.9287 0.00 0.20 0.00 -0.02
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.
491767 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.812 39.812 39.812 ecceobj 0.084 0.084 0.084 incobj 30.079 30.079 30.079 qmin 35.267 35.194 35.268 qmax 44.017 43.912 43.889 amean 39.460 39.461 39.461 amin 39.101 39.101 39.101 amax 39.835 39.835 39.835 emean 0.061 0.056 0.057 emin 0.005 0.005 0.006 emax 0.108 0.104 0.104 imean 28.858 28.932 28.889 imin 28.343 28.425 28.440 imax 29.309 29.428 29.314 excite_mean 0.487 0.487 0.487 fracstop 1.000 1.000 1.000 cjmean 2.764 2.763 2.764 libcent 0 180.8 180.5 180.8 libamp 0 93.8 99.4 95.7 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 183.8 184.4 184.7 kozaiamp 180.0 180.0 180.0