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: 531016 # Created Wed Dec 25 02:07:22 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 59 observations of 59 # Arc: 11.10y # First observation: 2011/01/25 # Last observation: 2022/03/02 # Chi-squared of fit: 40.42 DOF: 112 RMS: 0.15 # Min/Max residuals: -0.38 0.55 # Exact a, adot, b, bdot, g, gdot: 1.944218E-05 3.292524E-02 -8.317142E-06 -1.632771E-02 2.842267E-02 1.085597E-03 # 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 -0.129359 108.990706 -0.272924 -0.002139 -0.948855 2455586.859926 # Heliocentric elements and errors Epoch: 2455586.5000 = 2011/01/25 Mean Anomaly: 1.62185 +/- 0.000 Argument of Peri: 174.02311 +/- 0.000 Long of Asc Node: 289.16379 +/- 0.000 Inclination: 26.38981 +/- 0.000 Eccentricity: 0.53190837 +/- 0.0000 Semi-Major Axis: 77.02835284 +/- 0.0000 Time of Perihelion: 2454474.0418 +/- 0.0 Perihelion: 36.05632732 +/- 0.0000 Aphelion: 118.00037836 +/- 0.0000 Period (y) 676.0583 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -12.01243435 +/- 0.0000 Ecliptic Y 34.07574162 +/- 0.0000 Ecliptic Z -0.07974664 +/- 0.0000 Ecliptic XDOT -0.00303285 +/- 0.0000 Ecliptic YDOT -0.00093045 +/- 0.0000 Ecliptic ZDOT -0.00157301 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.13113811 +/- 0.0000 Geocenter to KBO 35.18320636 +/- 0.0000 # Hcoef: 7.02
The following table shows the complete astrometric record for 531016. 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 (531016) followed by the observatory code and reference code for the source of the astrometry.
2011 01 25.35916 07 22 09.962 +21 57 57.15 22.0i 531016 F51 C~1w3p 2011 01 30.30080 07 21 41.846 +21 58 06.56 22.8w 531016 F51 C~1w3p 2011 01 30.31606 07 21 41.749 +21 58 06.49 22.5w 531016 F51 C~1w3p 2011 01 30.33041 07 21 41.660 +21 58 06.81 22.8w 531016 F51 C~1w3p 2012 01 24.33521 07 29 42.854 +20 45 58.36 22.1r 531016 F51 C~1w3p 2012 01 24.34738 07 29 42.781 +20 45 58.18 22.6G 531016 F51 C~2rXr 2012 01 25.29676 07 29 37.256 +20 46 01.79 21.8i 531016 F51 C~1w3p 2012 01 25.31002 07 29 37.191 +20 46 01.93 21.9i 531016 F51 C~1w3p 2013 01 17.47406 07 37 36.138 +19 32 34.29 22.4w 531016 F51 C~1w3p 2013 01 17.48934 07 37 36.047 +19 32 34.44 22.2w 531016 F51 C~1w3p 2013 01 17.50465 07 37 35.964 +19 32 34.28 22.4w 531016 F51 C~1w3p 2013 01 17.52006 07 37 35.863 +19 32 34.45 22.2w 531016 F51 C~1w3p 2013 01 21.51129 07 37 12.333 +19 32 54.30 21.6i 531016 F51 C~1w3p 2013 02 10.40745 07 35 22.686 +19 34 28.18 22.5w 531016 F51 C~1w3p 2013 02 10.42279 07 35 22.608 +19 34 27.72 22.8w 531016 F51 C~1w3p 2013 02 10.43827 07 35 22.509 +19 34 28.16 22.4w 531016 F51 C~1w3p 2013 02 10.45370 07 35 22.435 +19 34 28.25 22.3w 531016 F51 C~1w3p 2013 12 12.63169 07 48 03.739 +18 16 37.43 22.0G 531016 F51 C~2rXr 2013 12 15.43786 07 47 50.441 +18 16 38.68 22.5G 531016 F51 C~2rXr 2014 01 10.57991 07 45 27.252 +18 18 06.51 21.9G 531016 F51 C~2rXr 2014 01 26.33708 07 43 55.133 +18 19 39.99 22.0w 531016 F51 C~1w3p 2014 01 26.34898 07 43 55.065 +18 19 40.17 22.2w 531016 F51 C~1w3p 2015 01 13.34678 07 52 12.984 +17 03 53.52 22.9G 531016 F51 C~2rXr 2015 01 13.36037 07 52 12.915 +17 03 53.50 23.2G 531016 F51 C~2rXr 2015 01 13.37386 07 52 12.825 +17 03 53.61 22.7G 531016 F51 C~2rXr 2015 01 13.38739 07 52 12.746 +17 03 53.78 22.6G 531016 F51 C~2rXr 2015 01 16.33756 07 51 55.582 +17 04 12.76 22.3G 531016 F51 C~2rXr 2015 01 16.34974 07 51 55.501 +17 04 12.78 22.9G 531016 F51 C~2rXr 2015 01 16.36195 07 51 55.432 +17 04 12.73 23.2G 531016 F51 C~2rXr 2015 01 16.37425 07 51 55.358 +17 04 13.33 22.3G 531016 F51 C~2rXr 2016 01 31.32091 07 57 23.733 +15 51 22.38 22.6G 531016 F51 C~2rXr 2016 01 31.33288 07 57 23.650 +15 51 22.53 22.3G 531016 F51 C~2rXr 2016 01 31.34488 07 57 23.579 +15 51 22.54 22.9G 531016 F51 C~2rXr 2016 01 31.35701 07 57 23.503 +15 51 22.69 22.9G 531016 F51 C~2rXr 2016 02 05.28815 07 56 56.390 +15 52 06.23 22.6G 531016 F51 C~2rXr 2016 02 05.30241 07 56 56.283 +15 52 06.93 22.7G 531016 F51 C~2rXr 2016 02 12.28657 07 56 19.577 +15 53 09.39 22.3G 531016 F51 C~2rXr 2016 02 12.29852 07 56 19.506 +15 53 09.48 22.5G 531016 F51 C~2rXr 2016 02 12.31051 07 56 19.447 +15 53 09.62 23.0G 531016 F51 C~2rXr 2016 02 12.32261 07 56 19.384 +15 53 09.74 22.7G 531016 F51 C~2rXr 2017 11 22.54480 08 16 02.975 +13 19 44.81 22.3G 531016 F51 C~2rXr 2017 11 22.55558 08 16 02.955 +13 19 44.89 23.3G 531016 F51 C~2rXr 2017 11 22.56642 08 16 02.932 +13 19 44.64 22.8G 531016 F51 C~2rXr 2017 11 22.57730 08 16 02.905 +13 19 44.34 22.7G 531016 F51 C~2rXr 2017 12 24.44713 08 14 07.986 +13 17 11.45 22.5G 531016 F51 C~2rXr 2017 12 24.45869 08 14 07.942 +13 17 11.52 22.8G 531016 F51 C~2rXr 2017 12 24.47033 08 14 07.874 +13 17 11.41 22.7G 531016 F51 C~2rXr 2017 12 24.48191 08 14 07.824 +13 17 11.56 22.5G 531016 F51 C~2rXr 2018 01 20.50045 08 11 42.872 +13 19 42.20 22.2G 531016 F51 C~2rXr 2018 01 20.51280 08 11 42.800 +13 19 42.22 22.4G 531016 F51 C~2rXr 2018 01 20.52502 08 11 42.731 +13 19 42.43 22.4G 531016 F51 C~2rXr 2018 01 20.53729 08 11 42.652 +13 19 42.57 22.1G 531016 F51 C~2rXr 2018 02 18.30434 08 09 08.243 +13 24 57.26 22.6G 531016 F51 C~2rXr 2021 01 11.410590 08 31 32.578 +09 33 44.42 22.9G 531016 G37 C~4YAh 2021 01 11.451050 08 31 32.357 +09 33 44.98 531016 G37 C~4YAh 2021 01 11.491690 08 31 32.141 +09 33 45.03 531016 G37 C~4YAh 2022 03 02.115220 08 33 24.972 +08 30 47.56 22.9G 531016 G37 C~5V3d 2022 03 02.154420 08 33 24.759 +08 30 47.57 531016 G37 C~5V3d 2022 03 02.193530 08 33 24.590 +08 30 48.10 531016 G37 C~5V3d
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 -0.27 0.00 -0.12 2 0.0135 0.00 0.15 0.00 -0.13 3 0.0136 0.00 -0.00 0.00 -0.23 4 0.0136 0.00 -0.12 0.00 0.06 5 0.9965 0.00 -0.01 0.00 0.15 6 0.9965 0.00 -0.02 0.00 -0.07 7 0.9991 0.00 -0.09 0.00 0.08 8 0.9992 0.00 0.11 0.00 0.17 9 1.9798 0.00 -0.13 0.00 0.05 10 1.9798 0.00 -0.12 0.00 0.12 11 1.9799 0.00 0.02 0.00 -0.11 12 1.9799 0.00 -0.10 0.00 -0.01 13 1.9908 0.00 -0.06 0.00 -0.06 14 2.0453 0.00 0.25 0.00 0.14 15 2.0453 0.00 0.26 0.00 -0.38 16 2.0454 0.00 -0.04 0.00 0.00 17 2.0454 0.00 0.04 0.00 0.04 18 2.8810 0.00 0.31 0.00 0.10 19 2.8886 0.00 0.18 0.00 0.02 20 2.9602 0.00 0.18 0.00 -0.02 21 3.0034 0.00 0.03 0.00 0.19 22 3.0034 0.00 0.05 0.00 0.30 23 3.9671 0.00 -0.18 0.00 0.01 24 3.9671 0.00 -0.02 0.00 -0.10 25 3.9672 0.00 -0.17 0.00 -0.07 26 3.9672 0.00 -0.16 0.00 0.01 27 3.9753 0.00 0.01 0.00 0.01 28 3.9753 0.00 -0.12 0.00 -0.05 29 3.9754 0.00 -0.08 0.00 -0.18 30 3.9754 0.00 -0.09 0.00 0.33 31 5.0156 0.00 0.26 0.00 0.03 32 5.0157 0.00 0.03 0.00 0.08 33 5.0157 0.00 -0.01 0.00 -0.02 34 5.0157 0.00 -0.12 0.00 0.02 35 5.0292 0.00 0.13 0.00 -0.24 36 5.0293 0.00 -0.30 0.00 0.32 37 5.0484 0.00 0.07 0.00 -0.02 38 5.0484 0.00 -0.06 0.00 -0.04 39 5.0485 0.00 -0.02 0.00 -0.01 40 5.0485 0.00 -0.02 0.00 -0.00 41 6.8260 0.00 -0.01 0.00 -0.07 42 6.8260 0.00 0.05 0.00 0.13 43 6.8260 0.00 0.07 0.00 0.01 44 6.8261 0.00 0.04 0.00 -0.17 45 6.9133 0.00 -0.11 0.00 -0.03 46 6.9133 0.00 0.08 0.00 0.02 47 6.9134 0.00 -0.08 0.00 -0.11 48 6.9134 0.00 0.02 0.00 0.03 49 6.9874 0.00 0.04 0.00 -0.01 50 6.9874 0.00 0.02 0.00 -0.10 51 6.9874 0.00 0.04 0.00 -0.00 52 6.9875 0.00 -0.09 0.00 0.03 53 7.0662 0.00 0.07 0.00 -0.14 54 9.9632 0.00 -0.02 0.00 -0.15 55 9.9633 0.00 -0.09 0.00 0.14 56 9.9634 0.00 -0.07 0.00 -0.09 57 11.0986 0.00 0.49 0.00 0.55 58 11.0987 0.00 -0.16 0.00 -0.12 59 11.0988 0.00 -0.15 0.00 -0.27
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.
531016 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 77.838 77.838 77.838 ecceobj 0.536 0.536 0.536 incobj 26.362 26.362 26.362 qmin 33.946 33.914 33.901 qmax 122.481 124.137 122.721 amean 76.835 77.616 76.971 amin 75.556 75.863 75.732 amax 78.602 79.372 78.806 emean 0.540 0.543 0.541 emin 0.521 0.521 0.521 emax 0.559 0.564 0.560 imean 27.105 27.289 27.133 imin 26.127 26.206 26.143 imax 28.227 28.223 28.214 excite_mean 0.706 0.711 0.708 fracstop 1.000 1.000 1.000 cjmean 2.785 2.784 2.784 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 193.9 203.2 196.5 kozaiamp 180.0 180.0 180.0