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: 13SL112 # Created Fri Nov 22 02:09:38 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 3.91y # First observation: 2013/09/29 # Last observation: 2017/08/28 Preliminary a, adot, b, bdot, g, gdot: 0.000025 0.033377 -0.000003 -0.000178 0.030938 0.000000 # Chi-squared of fit: 8.31 DOF: 26 RMS: 0.13 # Min/Max residuals: -0.30 0.28 # Exact a, adot, b, bdot, g, gdot: 1.714781E-05 3.311164E-02 -1.509237E-07 -1.746140E-04 3.037976E-02 -2.743756E-03 # Covariance matrix: 2.7642E-13 -1.0974E-13 -5.3650E-16 2.6355E-17 8.9824E-14 -2.5955E-13 -1.0974E-13 5.2733E-13 -1.3922E-15 -2.1963E-15 4.4866E-13 4.1953E-12 -5.3650E-16 -1.3922E-15 2.3453E-13 -7.6229E-14 -3.2111E-15 -1.2467E-14 2.6355E-17 -2.1963E-15 -7.6229E-14 4.0609E-14 -2.4051E-15 -1.9023E-14 8.9824E-14 4.4866E-13 -3.2111E-15 -2.4051E-15 7.8157E-13 3.9564E-12 -2.5955E-13 4.1953E-12 -1.2467E-14 -1.9023E-14 3.9564E-12 3.6183E-11 # lat0 lon0 xBary yBary zBary JD0 -2.131789 7.886806 0.034603 -0.037142 -1.000643 2456564.729018 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 292.82867 +/- 0.031 Argument of Peri: 338.76982 +/- 0.041 Long of Asc Node: 106.10284 +/- 0.009 Inclination: 2.09064 +/- 0.000 Eccentricity: 0.08995559 +/- 0.0002 Semi-Major Axis: 34.88412855 +/- 0.0039 Time of Perihelion: 2470602.2650 +/- 6.1 Perihelion: 31.74610612 +/- 0.0075 Aphelion: 38.02215099 +/- 0.0079 Period (y) 206.0393 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.57885643 +/- 0.0009 Ecliptic Y 4.61971069 +/- 0.0001 Ecliptic Z -1.22446980 +/- 0.0000 Ecliptic XDOT -0.00066097 +/- 0.0000 Ecliptic YDOT 0.00292052 +/- 0.0000 Ecliptic ZDOT -0.00000639 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.91726186 +/- 0.0009 Geocenter to KBO 32.91665687 +/- 0.0010 # Hcoef: 8.14
The following table shows the complete astrometric record for 13SL112. 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 (13SL112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.22824 00 32 20.266 +01 10 11.22 23.9r 13SL112 W84 C~52RU 2013 09 29.22965 00 32 20.232 +01 10 11.29 23.0i 13SL112 W84 C~52RU 2013 10 13.11779 00 31 05.041 +01 02 12.25 22.9z 13SL112 W84 C~52RU 2013 11 08.17535 00 29 00.339 +00 49 35.94 24.1r 13SL112 W84 C~52RU 2013 11 08.17673 00 29 00.339 +00 49 36.06 23.5i 13SL112 W84 C~52RU 2014 08 18.31436 00 42 37.979 +02 16 45.97 22.4i 13SL112 W84 C~52RU 2014 11 14.13129 00 35 34.818 +01 31 29.27 23.8i 13SL112 W84 C~52RU 2014 11 17.05870 00 35 24.173 +01 30 29.57 22.9z 13SL112 W84 C~52RU 2016 09 09.28468 00 55 10.499 +03 34 32.76 23.1i 13SL112 W84 C~52RU 2016 11 05.19246 00 50 12.080 +03 03 21.74 23.3r 13SL112 W84 C~52RU 2016 11 05.19385 00 50 12.065 +03 03 21.68 22.7i 13SL112 W84 C~52RU 2016 11 05.19523 00 50 12.045 +03 03 21.82 24.0g 13SL112 W84 C~52RU 2016 11 18.09093 00 49 17.747 +02 58 12.48 23.1i 13SL112 W84 C~52RU 2016 11 25.07037 00 48 53.746 +02 56 03.22 23.4r 13SL112 W84 C~52RU 2017 08 28.28539 01 03 09.632 +04 24 46.80 23.3i 13SL112 W84 C~52RU 2017 08 28.28676 01 03 09.610 +04 24 46.78 23.3r 13SL112 W84 C~52RU
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 0.02 0.00 0.01
2 0.0000 -0.44 -0.30 0.27 0.28
3 0.0380 -1225.64 0.13 4.47 0.04
4 0.1094 -3242.86 0.06 46.81 -0.10
5 0.1094 -3242.81 0.20 46.92 0.01
6 0.8846 10094.17 0.07 27.69 -0.12
7 1.1250 3185.28 -0.17 25.36 -0.05
8 1.1330 3015.01 -0.13 33.34 -0.18
9 2.9461 22373.29 0.10 -94.10 -0.02
10 3.1019 17483.25 0.21 -69.25 -0.09
11 3.1019 17483.02 0.09 -69.21 -0.06
12 3.1019 17482.80 -0.03 -68.97 0.18
13 3.1372 16607.33 0.01 -35.02 -0.07
14 3.1563 16223.48 -0.16 -13.06 0.07
15 3.9125 30278.11 0.06 -108.57 -0.02
16 3.9125 30277.79 -0.17 -108.46 0.09
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.
13SL112 quality flag:3 Type: 5:4E 5:4E 5:4E axisobj 35.042 35.052 35.032 ecceobj 0.089 0.090 0.089 incobj 2.091 2.091 2.091 qmin 31.289 31.325 31.269 qmax 39.075 39.055 39.096 amean 34.946 34.946 34.946 amin 34.538 34.553 34.538 amax 35.381 35.362 35.374 emean 0.084 0.084 0.084 emin 0.061 0.063 0.062 emax 0.106 0.106 0.106 imean 1.371 1.391 1.392 imin 0.189 0.200 0.190 imax 2.183 2.218 2.171 excite_mean 0.088 0.088 0.088 fracstop 1.000 1.000 1.000 cjmean 3.008 3.008 3.008 libcent 0 180.2 181.1 179.7 libamp 0 109.8 106.1 111.7 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 180.3 184.5 179.9 kozaiamp 179.9 180.0 179.9