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: 13SA112 # Created Wed Dec 4 02:09:35 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 11 observations of 11 # Arc: 5.16y # First observation: 2013/09/28 # Last observation: 2018/11/26 # Chi-squared of fit: 0.91 DOF: 16 RMS: 0.05 # Min/Max residuals: -0.11 0.07 # Exact a, adot, b, bdot, g, gdot: 1.603359E-05 2.610557E-02 3.153496E-06 5.412378E-03 2.576017E-02 -1.518588E-04 # Covariance matrix: 7.1431E-13 -1.8164E-14 -7.6403E-16 -7.3059E-15 9.8468E-13 -3.3674E-13 -1.8164E-14 5.1360E-13 -3.4716E-14 1.1078E-13 4.5276E-13 4.2130E-12 -7.6403E-16 -3.4716E-14 2.6835E-13 -7.2916E-14 -2.7131E-14 -3.0809E-13 -7.3059E-15 1.1078E-13 -7.2916E-14 5.8276E-14 6.5928E-14 9.9948E-13 9.8468E-13 4.5276E-13 -2.7131E-14 6.5928E-14 2.4194E-12 2.3825E-12 -3.3674E-13 4.2130E-12 -3.0809E-13 9.9948E-13 2.3825E-12 3.8110E-11 # lat0 lon0 xBary yBary zBary JD0 -0.904049 4.531063 -0.004684 -0.015721 -1.002146 2456563.601048 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 355.00309 +/- 0.152 Argument of Peri: 1.55997 +/- 0.179 Long of Asc Node: 8.78268 +/- 0.000 Inclination: 11.75011 +/- 0.000 Eccentricity: 0.08031532 +/- 0.0002 Semi-Major Axis: 43.28215228 +/- 0.0109 Time of Perihelion: 2458008.1471 +/- 58.4 Perihelion: 39.80593244 +/- 0.0126 Aphelion: 46.75837212 +/- 0.0141 Period (y) 284.7551 +/- 0.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.69180015 +/- 0.0023 Ecliptic Y 3.15326908 +/- 0.0002 Ecliptic Z -0.61238647 +/- 0.0000 Ecliptic XDOT -0.00023240 +/- 0.0000 Ecliptic YDOT 0.00276402 +/- 0.0000 Ecliptic ZDOT 0.00057556 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.82157087 +/- 0.0023 Geocenter to KBO 38.81966141 +/- 0.0023 # Hcoef: 7.37
The following table shows the complete astrometric record for 13SA112. 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 (13SA112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 28.10027 00 18 04.138 +00 58 15.18 24.3g 13SA112 W84 C~52RT 2013 10 13.09613 00 16 53.720 +00 51 32.39 22.6z 13SA112 W84 C~52RT 2013 10 13.11063 00 16 53.657 +00 51 32.01 22.9i 13SA112 W84 C~52RU 2013 11 23.09272 00 14 27.050 +00 38 33.47 23.8r 13SA112 W84 C~52RU 2013 11 23.09414 00 14 27.049 +00 38 33.30 23.1i 13SA112 W84 C~52RU 2014 11 15.09518 00 19 45.070 +01 32 23.62 22.6z 13SA112 W84 C~52RU 2016 11 18.09930 00 29 29.410 +03 15 43.59 23.4i 13SA112 W84 C~52RU 2016 11 18.10069 00 29 29.410 +03 15 43.56 23.3r 13SA112 W84 C~52RU 2017 10 27.15062 00 35 49.791 +04 15 25.17 22.5z 13SA112 W84 C~52RU 2018 11 26.06693 00 39 05.151 +04 57 42.13 23.5r 13SA112 W84 C~52RU 2018 11 26.06832 00 39 05.140 +04 57 42.14 24.6g 13SA112 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 0.03
2 0.0411 0.00 -0.00 0.00 0.02
3 0.0411 0.00 0.06 0.00 0.01
4 0.1533 0.00 -0.01 0.00 0.05
5 0.1533 0.00 0.02 0.00 -0.11
6 1.1307 0.00 -0.07 0.00 -0.02
7 3.1403 0.00 0.01 0.00 0.05
8 3.1403 0.00 0.07 0.00 0.04
9 4.0795 0.00 -0.04 0.00 -0.10
10 5.1608 0.00 0.06 0.00 0.00
11 5.1608 0.00 -0.05 0.00 0.03
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.
13SA112 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.533 43.533 43.533 ecceobj 0.086 0.086 0.086 incobj 11.717 11.717 11.717 qmin 39.018 39.016 39.020 qmax 47.792 47.793 47.790 amean 43.297 43.297 43.297 amin 42.945 42.950 42.947 amax 43.655 43.659 43.659 emean 0.081 0.081 0.081 emin 0.067 0.067 0.067 emax 0.096 0.096 0.096 imean 11.544 11.544 11.544 imin 10.874 10.870 10.875 imax 12.150 12.150 12.150 excite_mean 0.216 0.216 0.216 fracstop 1.000 1.000 1.000 cjmean 3.037 3.037 3.037 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 172.7 172.7 172.6 kozaiamp 179.9 180.0 180.0