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: 13ST112 # Created Tue Apr 1 01:09:43 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 15 observations of 15 # Arc: 5.11y # First observation: 2013/09/30 # Last observation: 2018/11/08 # Chi-squared of fit: 8.56 DOF: 24 RMS: 0.13 # Min/Max residuals: -0.39 0.16 # Exact a, adot, b, bdot, g, gdot: 1.548598E-05 2.443919E-02 1.133464E-06 1.584794E-03 2.459682E-02 7.332092E-05 # Covariance matrix: 3.4461E-13 -3.3859E-13 5.7324E-15 -1.8466E-14 2.2122E-13 -2.5720E-12 -3.3859E-13 1.1773E-12 -2.3610E-14 7.8173E-14 -7.0357E-13 1.0867E-11 5.7324E-15 -2.3610E-14 2.7719E-13 -6.8102E-14 1.6790E-14 -2.2289E-13 -1.8466E-14 7.8173E-14 -6.8102E-14 3.0018E-14 -4.7896E-14 7.3708E-13 2.2122E-13 -7.0357E-13 1.6790E-14 -4.7896E-14 1.2551E-12 -6.7315E-12 -2.5720E-12 1.0867E-11 -2.2289E-13 7.3708E-13 -6.7315E-12 1.0247E-10 # lat0 lon0 xBary yBary zBary JD0 2.654678 -1.896632 -0.151338 0.045957 -0.989077 2456565.631898 # Heliocentric elements and errors Epoch: 2456566.5000 = 2013/10/01 Mean Anomaly: 5.35032 +/- 0.481 Argument of Peri: 29.10677 +/- 0.527 Long of Asc Node: 323.43840 +/- 0.003 Inclination: 4.52587 +/- 0.000 Eccentricity: 0.04487326 +/- 0.0002 Semi-Major Axis: 43.59132112 +/- 0.0114 Time of Perihelion: 2455004.1591 +/- 140.4 Perihelion: 41.63523636 +/- 0.0152 Aphelion: 45.54740588 +/- 0.0160 Period (y) 287.8116 +/- 0.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.58400359 +/- 0.0018 Ecliptic Y -1.22255364 +/- 0.0001 Ecliptic Z 1.88304832 +/- 0.0001 Ecliptic XDOT 0.00008385 +/- 0.0000 Ecliptic YDOT 0.00271749 +/- 0.0000 Ecliptic ZDOT 0.00017673 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.64456303 +/- 0.0018 Geocenter to KBO 40.65570631 +/- 0.0019 # Hcoef: 7.07
The following table shows the complete astrometric record for 13ST112. 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 (13ST112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.13112 23 48 48.997 +01 40 53.40 23.4r 13ST112 W84 C~52RV 2013 09 30.13557 23 48 48.972 +01 40 53.36 23.1i 13ST112 W84 C~52RV 2013 10 11.11950 23 48 01.808 +01 35 44.86 23.1z 13ST112 W84 C~52RV 2013 10 28.04236 23 46 57.969 +01 28 30.27 23.5r 13ST112 W84 C~52RV 2013 10 28.04375 23 46 57.945 +01 28 29.68 22.7i 13ST112 W84 C~52RV 2016 08 26.20924 00 06 17.430 +03 50 47.12 23.4r 13ST112 W84 C~52RV 2016 08 26.21062 00 06 17.424 +03 50 46.91 24.1g 13ST112 W84 C~52RV 2016 09 22.12861 00 04 22.435 +03 39 19.19 23.2r 13ST112 W84 C~52RV 2017 09 27.16906 00 09 00.724 +04 15 03.65 23.3z 13ST112 W84 C~52RV 2017 09 27.17868 00 09 00.683 +04 15 03.37 23.2r 13ST112 W84 C~52RV 2017 09 27.18004 00 09 00.676 +04 15 03.28 22.8i 13ST112 W84 C~52RV 2017 10 26.06409 00 06 58.111 +04 01 34.99 22.5z 13ST112 W84 C~52RV 2018 10 18.15718 00 12 30.055 +04 43 06.19 22.2z 13ST112 W84 C~52RV 2018 10 28.17383 00 11 50.450 +04 38 35.94 23.0i 13ST112 W84 C~52RV 2018 11 08.13461 00 11 12.901 +04 34 09.07 23.3r 13ST112 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 0.05 0.00 -0.00 2 0.0000 0.00 -0.02 0.00 0.08 3 0.0301 0.00 0.08 0.00 0.09 4 0.0764 0.00 0.12 0.00 0.16 5 0.0764 0.00 -0.17 0.00 -0.39 6 2.9051 0.00 -0.08 0.00 0.07 7 2.9051 0.00 -0.09 0.00 -0.11 8 2.9788 0.00 -0.04 0.00 0.14 9 3.9919 0.00 0.05 0.00 0.08 10 3.9919 0.00 0.10 0.00 0.07 11 3.9919 0.00 0.09 0.00 0.02 12 4.0710 0.00 0.03 0.00 -0.09 13 5.0487 0.00 0.08 0.00 0.13 14 5.0761 0.00 -0.28 0.00 -0.21 15 5.1061 0.00 0.15 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.
13ST112 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.843 43.843 43.843 ecceobj 0.051 0.051 0.051 incobj 4.514 4.514 4.514 qmin 40.787 40.786 40.787 qmax 46.693 46.692 46.693 amean 43.644 43.644 43.644 amin 43.311 43.312 43.313 amax 43.995 43.996 43.995 emean 0.045 0.045 0.045 emin 0.028 0.028 0.028 emax 0.062 0.062 0.062 imean 5.660 5.660 5.660 imin 4.923 4.922 4.923 imax 6.323 6.323 6.322 excite_mean 0.109 0.109 0.109 fracstop 1.000 1.000 1.000 cjmean 3.083 3.083 3.083 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 176.7 176.7 176.7 kozaiamp 180.0 180.0 180.0