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: 13SY111 # Created Tue Apr 1 01:09:42 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 11 observations of 11 # Arc: 5.12y # First observation: 2013/09/24 # Last observation: 2018/11/06 # Chi-squared of fit: 8.58 DOF: 16 RMS: 0.16 # Min/Max residuals: -0.32 0.34 # Exact a, adot, b, bdot, g, gdot: 1.210445E-05 1.854230E-02 7.877724E-06 1.055221E-02 2.224060E-02 -6.471386E-03 # Covariance matrix: 3.5223E-13 -2.0220E-13 4.6985E-14 -8.4221E-14 -1.5730E-14 -1.4241E-12 -2.0220E-13 3.1655E-13 -1.0889E-13 1.9099E-13 4.8646E-14 3.2278E-12 4.6985E-14 -1.0889E-13 3.6842E-13 -1.4965E-13 -1.8536E-13 -1.1619E-12 -8.4221E-14 1.9099E-13 -1.4965E-13 1.6939E-13 6.4673E-15 2.2276E-12 -1.5730E-14 4.8646E-14 -1.8536E-13 6.4673E-15 1.0082E-12 -3.2077E-14 -1.4241E-12 3.2278E-12 -1.1619E-12 2.2276E-12 -3.2077E-14 3.7731E-11 # lat0 lon0 xBary yBary zBary JD0 -35.817551 -36.758850 -0.612635 -0.465068 -0.644571 2456559.587258 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 315.66515 +/- 0.020 Argument of Peri: 22.73198 +/- 0.032 Long of Asc Node: 8.89005 +/- 0.001 Inclination: 45.11309 +/- 0.000 Eccentricity: 0.31476069 +/- 0.0003 Semi-Major Axis: 54.14784126 +/- 0.0145 Time of Perihelion: 2474483.5909 +/- 51.9 Perihelion: 37.10422945 +/- 0.0185 Aphelion: 71.19145307 +/- 0.0247 Period (y) 398.4556 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.21359466 +/- 0.0013 Ecliptic Y -21.80129724 +/- 0.0010 Ecliptic Z -26.31223202 +/- 0.0012 Ecliptic XDOT 0.00145133 +/- 0.0000 Ecliptic YDOT 0.00175910 +/- 0.0000 Ecliptic ZDOT 0.00151967 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.61259996 +/- 0.0012 Geocenter to KBO 44.96305936 +/- 0.0020 # Hcoef: 7.43
The following table shows the complete astrometric record for 13SY111. 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 (13SY111) followed by the observatory code and reference code for the source of the astrometry.
2013 09 24.08648 22 47 33.914 -46 52 54.85 24.6r 13SY111 W84 C~52RT 2013 09 24.08924 22 47 33.854 -46 52 54.89 24.0i 13SY111 W84 C~52RT 2013 12 07.07756 22 44 07.200 -46 06 04.47 23.6r 13SY111 W84 C~52RT 2013 12 07.07894 22 44 07.207 -46 06 04.43 24.2i 13SY111 W84 C~52RT 2014 09 15.16437 22 52 17.411 -45 50 46.91 23.4r 13SY111 W84 C~52RT 2015 08 18.25472 22 58 53.283 -44 39 19.69 23.7r 13SY111 W84 C~52RT 2016 10 02.14139 22 57 51.666 -43 41 05.42 23.9i 13SY111 W84 C~52RT 2016 10 02.14276 22 57 51.645 -43 41 05.56 24.6r 13SY111 W84 C~52RT 2016 10 02.14412 22 57 51.669 -43 41 05.48 24.6g 13SY111 W84 C~52RT 2018 10 27.09445 23 02 55.379 -41 19 49.72 23.7i 13SY111 W84 C~52RT 2018 11 06.14056 23 02 22.439 -41 14 02.87 23.1r 13SY111 W84 C~52RT
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 0.34 0.00 0.04
2 0.0000 0.00 -0.31 0.00 -0.02
3 0.2026 0.00 -0.10 0.00 -0.02
4 0.2026 0.00 -0.02 0.00 -0.07
5 0.9749 0.00 0.29 0.00 0.17
6 1.8978 0.00 0.00 0.00 -0.07
7 3.0227 0.00 -0.12 0.00 0.09
8 3.0227 0.00 -0.32 0.00 -0.06
9 3.0227 0.00 0.16 0.00 0.00
10 5.0897 0.00 0.13 0.00 -0.02
11 5.1172 0.00 0.01 0.00 -0.00
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.
13SY111 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 54.374 54.374 54.375 ecceobj 0.317 0.317 0.317 incobj 45.062 45.062 45.062 qmin 35.559 35.543 35.538 qmax 73.894 73.880 73.840 amean 54.335 54.335 54.336 amin 53.794 53.782 53.799 amax 55.014 55.011 55.026 emean 0.323 0.323 0.323 emin 0.304 0.304 0.304 emax 0.344 0.344 0.344 imean 45.150 45.151 45.149 imin 44.716 44.715 44.716 imax 45.621 45.610 45.608 excite_mean 0.779 0.779 0.779 fracstop 1.000 1.000 1.000 cjmean 2.348 2.348 2.348 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 127.1 127.0 127.2 kozaiamp 107.6 107.4 107.4