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: 13SB113 # Created Tue Apr 1 01:09:44 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 10 observations of 10 # Arc: 5.11y # First observation: 2013/09/30 # Last observation: 2018/11/09 # Chi-squared of fit: 1.47 DOF: 14 RMS: 0.07 # Min/Max residuals: -0.13 0.11 # Exact a, adot, b, bdot, g, gdot: 1.543121E-05 2.376039E-02 -1.293290E-06 -1.252438E-03 2.400423E-02 -1.580905E-03 # Covariance matrix: 5.3210E-13 -2.5785E-13 -2.4688E-15 8.3713E-15 3.3799E-13 -1.4013E-12 -2.5785E-13 8.4963E-13 1.2556E-14 -4.5056E-14 1.1852E-13 7.5046E-12 -2.4688E-15 1.2556E-14 3.5360E-13 -8.4428E-14 2.3654E-15 1.1580E-13 8.3713E-15 -4.5056E-14 -8.4428E-14 3.6325E-14 -9.7410E-15 -4.1623E-13 3.3799E-13 1.1852E-13 2.3654E-15 -9.7410E-15 9.4966E-13 1.6046E-12 -1.4013E-12 7.5046E-12 1.1580E-13 -4.1623E-13 1.6046E-12 6.9318E-11 # lat0 lon0 xBary yBary zBary JD0 -0.074838 3.583551 -0.056603 -0.001206 -1.000034 2456565.661748 # Heliocentric elements and errors Epoch: 2456566.5000 = 2013/10/01 Mean Anomaly: 318.38037 +/- 0.140 Argument of Peri: 230.83707 +/- 0.181 Long of Asc Node: 182.27462 +/- 0.001 Inclination: 3.01600 +/- 0.000 Eccentricity: 0.09408382 +/- 0.0003 Semi-Major Axis: 45.67288750 +/- 0.0082 Time of Perihelion: 2469600.6239 +/- 51.4 Perihelion: 41.37580800 +/- 0.0141 Aphelion: 49.96996700 +/- 0.0150 Period (y) 308.6711 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.57192481 +/- 0.0017 Ecliptic Y 2.72595846 +/- 0.0001 Ecliptic Z -0.05448812 +/- 0.0000 Ecliptic XDOT -0.00035570 +/- 0.0000 Ecliptic YDOT 0.00269213 +/- 0.0000 Ecliptic ZDOT -0.00014247 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.65918823 +/- 0.0017 Geocenter to KBO 41.65941227 +/- 0.0017 # Hcoef: 7.30
The following table shows the complete astrometric record for 13SB113. 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 (13SB113) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.16097 00 13 16.380 +01 21 21.56 23.3i 13SB113 W84 C~52RV 2013 10 13.11626 00 12 21.047 +01 15 12.77 23.3i 13SB113 W84 C~52RV 2013 11 22.08554 00 10 12.050 +01 00 47.76 23.4r 13SB113 W84 C~52RV 2013 11 22.08692 00 10 12.032 +01 00 47.75 23.3i 13SB113 W84 C~52RV 2015 11 07.07593 00 21 02.138 +02 01 50.90 23.2r 13SB113 W84 C~52RV 2017 08 22.32044 00 36 23.195 +03 32 13.51 23.5r 13SB113 W84 C~52RV 2017 09 27.19789 00 34 03.201 +03 16 42.13 23.9i 13SB113 W84 C~52RV 2017 09 27.19925 00 34 03.182 +03 16 42.16 23.2r 13SB113 W84 C~52RV 2018 10 18.15486 00 37 43.968 +03 35 17.32 23.0z 13SB113 W84 C~52RV 2018 11 09.14631 00 36 18.934 +03 26 04.02 24.1r 13SB113 W84 C~52RV
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 0.00 0.00 0.11
2 0.0355 0.00 0.00 0.00 0.01
3 0.1449 0.00 0.10 0.00 -0.03
4 0.1449 0.00 -0.13 0.00 -0.02
5 2.1024 0.00 0.08 0.00 -0.12
6 3.8937 0.00 -0.02 0.00 0.03
7 3.9919 0.00 0.08 0.00 -0.02
8 3.9919 0.00 -0.12 0.00 0.05
9 5.0486 0.00 0.03 0.00 -0.02
10 5.1088 0.00 0.01 0.00 0.04
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.
13SB113 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.949 45.949 45.949 ecceobj 0.097 0.097 0.097 incobj 3.007 3.007 3.007 qmin 40.536 40.528 40.548 qmax 51.131 51.167 51.129 amean 45.683 45.683 45.683 amin 45.309 45.317 45.296 amax 46.091 46.096 46.079 emean 0.097 0.097 0.097 emin 0.083 0.083 0.083 emax 0.110 0.110 0.110 imean 3.472 3.472 3.472 imin 3.004 3.003 3.003 imax 3.909 3.909 3.909 excite_mean 0.114 0.114 0.114 fracstop 1.000 1.000 1.000 cjmean 3.106 3.106 3.106 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 187.0 187.0 186.9 kozaiamp 180.0 180.0 180.0