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: 500831 # Created Tue Apr 1 01:07:09 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 34 observations of 34 # Arc: 4.22y # First observation: 2013/03/07 # Last observation: 2017/05/28 # Chi-squared of fit: 16.67 DOF: 62 RMS: 0.12 # Min/Max residuals: -0.25 0.46 # Exact a, adot, b, bdot, g, gdot: 1.569083E-05 2.458953E-02 2.539840E-06 3.217508E-03 2.501889E-02 1.282287E-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 0.083826 -142.239262 0.768060 0.000960 -0.629103 2456359.034468 # Heliocentric elements and errors Epoch: 2456358.5000 = 2013/03/07 Mean Anomaly: 71.55826 +/- 0.000 Argument of Peri: 285.09823 +/- 0.000 Long of Asc Node: 216.04476 +/- 0.000 Inclination: 7.46533 +/- 0.000 Eccentricity: 0.03609909 +/- 0.0000 Semi-Major Axis: 41.02346556 +/- 0.0000 Time of Perihelion: 2437281.7585 +/- 0.0 Perihelion: 39.54255570 +/- 0.0000 Aphelion: 42.50437543 +/- 0.0000 Period (y) 262.7585 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -32.56551269 +/- 0.0000 Ecliptic Y -24.25210985 +/- 0.0000 Ecliptic Z 0.05858970 +/- 0.0000 Ecliptic XDOT 0.00153101 +/- 0.0000 Ecliptic YDOT -0.00221226 +/- 0.0000 Ecliptic ZDOT 0.00035244 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.60392994 +/- 0.0000 Geocenter to KBO 39.96979700 +/- 0.0000 # Hcoef: 8.16
The following table shows the complete astrometric record for 500831. 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 (500831) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.53369 14 21 42.747 -14 01 08.14 24.0r 500831 568 C~1XRW 2013 03 07.64267 14 21 42.445 -14 01 06.35 24.3r 500831 568 C~1XRW 2013 04 04.53472 14 20 01.656 -13 51 45.96 24.5r 500831 568 C~1XRW 2013 04 07.39521 14 19 49.033 -13 50 36.38 24.3r 500831 568 C~1XRW 2013 04 07.43903 14 19 48.818 -13 50 35.48 24.5r 500831 568 C~1XRW 2013 04 08.42769 14 19 44.359 -13 50 11.16 24.2r 500831 568 C~1XRW 2013 04 08.47292 14 19 44.145 -13 50 10.26 24.3r 500831 568 C~1XRW 2013 04 09.37434 14 19 40.084 -13 49 47.82 24.1r 500831 568 C~1XRW 2013 04 09.41746 14 19 39.890 -13 49 46.72 23.9r 500831 568 C~1XRW 2013 04 09.46062 14 19 39.688 -13 49 45.73 24.0r 500831 568 C~1XRW 2013 05 11.46227 14 17 07.891 -13 35 57.09 24.2r 500831 568 C~1XRW 2013 05 12.46349 14 17 03.252 -13 35 31.73 24.0r 500831 568 C~1XRW 2013 06 12.35950 14 15 01.110 -13 24 12.71 24.5r 500831 568 C~1XRW 2013 06 12.40439 14 15 00.960 -13 24 11.94 24.4r 500831 568 C~1XRW 2013 07 04.31926 14 14 12.344 -13 19 24.65 24.1r 500831 568 C~1XRW 2013 07 06.32704 14 14 09.860 -13 19 08.60 24.5r 500831 568 C~1XRW 2013 08 02.25463 14 14 12.758 -13 18 38.10 24.5r 500831 568 C~1XRW 2014 02 03.59026 14 28 02.026 -14 21 50.76 24.3r 500831 568 C~1XRW 2014 02 24.60510 14 27 50.089 -14 20 04.28 24.4r 500831 568 C~1XRW 2014 02 25.58815 14 27 48.500 -14 19 54.35 24.5r 500831 568 C~1XRW 2014 02 28.52057 14 27 43.228 -14 19 21.95 24.1r 500831 568 C~1XRW 2014 02 28.53610 14 27 43.196 -14 19 21.80 24.1r 500831 568 C~1XRW 2014 05 22.44598 14 22 05.924 -13 48 48.83 24.3r 500831 568 C~1XRW 2014 05 25.43819 14 21 53.087 -13 47 39.71 23.8r 500831 568 C~1XRW 2015 01 26.62763 14 33 33.889 -14 37 22.55 24.2r 500831 568 C~1XRW 2016 05 06.34492 14 34 53.329 -14 28 04.54 23.7r 500831 568 C~2KOF 2016 05 06.41084 14 34 53.001 -14 28 02.86 24.0r 500831 568 C~2KOF 2016 05 29.35189 14 33 08.129 -14 19 06.59 24.3w 500831 568 C~2KOF 2017 01 31.65143 14 45 01.350 -15 07 47.51 24.4w 500831 568 C~2KOF 2017 02 03.64785 14 45 04.430 -15 07 52.28 500831 568 C~2KOF 2017 02 23.64639 14 45 01.971 -15 06 38.67 500831 568 C~2KOF 2017 03 30.53576 14 43 31.101 -14 58 03.48 24.4w 500831 568 C~2KOF 2017 05 28.35383 14 39 01.025 -14 35 18.83 24.2r 500831 568 C~2KOF 2017 05 28.41896 14 39 00.739 -14 35 17.39 24.3r 500831 568 C~2KOF
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 -0.06 0.00 -0.09 2 0.0003 0.00 -0.10 0.00 0.03 3 0.0767 0.00 -0.10 0.00 -0.06 4 0.0845 0.00 0.28 0.00 0.25 5 0.0846 0.00 0.05 0.00 0.08 6 0.0873 0.00 -0.15 0.00 0.10 7 0.0874 0.00 -0.24 0.00 -0.12 8 0.0899 0.00 -0.02 0.00 -0.00 9 0.0900 0.00 0.06 0.00 0.04 10 0.0901 0.00 0.03 0.00 -0.04 11 0.1778 0.00 0.09 0.00 -0.17 12 0.1805 0.00 0.01 0.00 -0.21 13 0.2651 0.00 -0.10 0.00 -0.06 14 0.2652 0.00 -0.24 0.00 -0.08 15 0.3252 0.00 0.18 0.00 -0.06 16 0.3307 0.00 -0.25 0.00 -0.01 17 0.4044 0.00 0.46 0.00 0.12 18 0.9119 0.00 0.10 0.00 -0.11 19 0.9694 0.00 0.11 0.00 0.07 20 0.9721 0.00 0.12 0.00 -0.00 21 0.9801 0.00 0.02 0.00 0.01 22 0.9802 0.00 0.01 0.00 -0.02 23 1.2072 0.00 0.06 0.00 0.09 24 1.2153 0.00 -0.13 0.00 0.12 25 1.8894 0.00 0.02 0.00 0.26 26 3.1644 0.00 -0.06 0.00 0.00 27 3.1646 0.00 -0.12 0.00 0.06 28 3.2274 0.00 0.00 0.00 0.09 29 3.9045 0.00 -0.03 0.00 -0.01 30 3.9127 0.00 -0.03 0.00 -0.14 31 3.9675 0.00 0.09 0.00 -0.07 32 4.0630 0.00 -0.10 0.00 0.03 33 4.2240 0.00 0.02 0.00 -0.06 34 4.2242 0.00 0.03 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.
500831 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 40.874 40.874 40.874 ecceobj 0.033 0.033 0.033 incobj 7.476 7.476 7.476 qmin 37.095 37.202 37.366 qmax 45.694 45.582 45.354 amean 41.178 41.176 41.178 amin 40.826 40.819 40.819 amax 41.588 41.590 41.573 emean 0.059 0.056 0.056 emin 0.014 0.014 0.014 emax 0.099 0.096 0.091 imean 8.669 8.730 8.769 imin 6.181 6.450 6.535 imax 10.929 10.930 10.931 excite_mean 0.165 0.164 0.164 fracstop 1.000 1.000 1.000 cjmean 3.038 3.038 3.038 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 178.8 179.5 177.7 kozaiamp 180.0 180.0 180.0