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: 13RC156 # Created Tue Apr 1 01:09:37 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 14 observations of 14 # Arc: 5.13y # First observation: 2013/09/04 # Last observation: 2018/10/21 # Chi-squared of fit: 11.42 DOF: 22 RMS: 0.16 # Min/Max residuals: -0.23 0.31 # Exact a, adot, b, bdot, g, gdot: 1.946328E-05 3.322394E-02 6.784530E-06 1.065885E-02 2.630369E-02 -6.496925E-03 # Covariance matrix: 6.8239E-13 -3.5771E-13 8.2827E-14 -9.9262E-14 7.9643E-14 -1.3633E-12 -3.5771E-13 3.8495E-13 -8.8368E-14 5.9238E-14 9.2759E-13 1.6257E-12 8.2827E-14 -8.8368E-14 5.0755E-13 -1.6252E-13 1.3188E-13 -5.3625E-13 -9.9262E-14 5.9238E-14 -1.6252E-13 1.2695E-13 -8.2470E-13 6.0621E-13 7.9643E-14 9.2759E-13 1.3188E-13 -8.2470E-13 1.4593E-11 2.7525E-13 -1.3633E-12 1.6257E-12 -5.3625E-13 6.0621E-13 2.7525E-13 8.9605E-12 # lat0 lon0 xBary yBary zBary JD0 -30.764923 -68.608506 -0.772947 -0.332158 -0.558114 2456539.539808 # Heliocentric elements and errors Epoch: 2456540.5000 = 2013/09/05 Mean Anomaly: 358.32436 +/- 0.009 Argument of Peri: 319.87321 +/- 0.015 Long of Asc Node: 349.13553 +/- 0.001 Inclination: 35.01193 +/- 0.000 Eccentricity: 0.78065980 +/- 0.0007 Semi-Major Axis: 170.62033032 +/- 0.5940 Time of Perihelion: 2460329.4754 +/- 4231.1 Perihelion: 37.42389781 +/- 0.1802 Aphelion: 303.81676283 +/- 1.0650 Period (y) 2228.7141 +/- 11.64 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 12.87213254 +/- 0.0017 Ecliptic Y -30.73713268 +/- 0.0044 Ecliptic Z -19.44635742 +/- 0.0028 Ecliptic XDOT 0.00320878 +/- 0.0000 Ecliptic YDOT 0.00127286 +/- 0.0000 Ecliptic ZDOT 0.00129936 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.58282055 +/- 0.0038 Geocenter to KBO 38.01767840 +/- 0.0055 # Hcoef: 7.42
The following table shows the complete astrometric record for 13RC156. 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 (13RC156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 04.03903 20 02 16.732 -51 57 29.15 23.2r 13RC156 W84 C~52RL 2013 09 11.05801 20 01 42.883 -51 53 24.00 22.6z 13RC156 W84 C~52RL 2015 09 11.03122 20 23 02.950 -49 40 19.18 23.4r 13RC156 W84 C~52RL 2015 09 11.03259 20 23 02.919 -49 40 19.34 23.6i 13RC156 W84 C~52RL 2016 09 07.03297 20 33 24.452 -48 28 40.82 23.2i 13RC156 W84 C~52RL 2016 09 22.99605 20 32 11.782 -48 19 56.00 23.0r 13RC156 W84 C~52RL 2016 10 02.01054 20 31 45.039 -48 13 36.50 23.8r 13RC156 W84 C~52RL 2016 10 02.01192 20 31 45.030 -48 13 36.50 23.8g 13RC156 W84 C~52RL 2016 10 06.00254 20 31 36.873 -48 10 31.34 22.9z 13RC156 W84 C~52RL 2017 10 16.07950 20 40 58.568 -46 46 37.10 23.4r 13RC156 W84 C~52RL 2018 10 10.06073 20 50 17.597 -45 32 21.36 24.0r 13RC156 W84 C~52RL 2018 10 10.06210 20 50 17.611 -45 32 21.30 22.4i 13RC156 W84 C~52RL 2018 10 10.06346 20 50 17.603 -45 32 21.34 23.8g 13RC156 W84 C~52RL 2018 10 21.02718 20 50 05.628 -45 23 27.77 22.5z 13RC156 W84 C~52RL
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 0.20 0.00 -0.05
2 0.0192 0.00 0.09 0.00 -0.12
3 2.0178 0.00 0.19 0.00 0.06
4 2.0178 0.00 -0.17 0.00 -0.14
5 3.0089 0.00 -0.23 0.00 -0.07
6 3.0526 0.00 -0.12 0.00 0.07
7 3.0773 0.00 -0.12 0.00 0.08
8 3.0773 0.00 -0.20 0.00 0.02
9 3.0882 0.00 -0.14 0.00 0.25
10 4.1151 0.00 0.29 0.00 0.31
11 5.0979 0.00 -0.13 0.00 -0.06
12 5.0979 0.00 0.13 0.00 -0.06
13 5.0979 0.00 0.05 0.00 -0.16
14 5.1280 0.00 0.19 0.00 -0.17
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.
13RC156 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 171.825 171.821 171.830 ecceobj 0.783 0.783 0.783 incobj 34.999 34.999 34.999 qmin 36.092 36.075 36.092 qmax 324.693 325.677 325.753 amean 172.186 173.759 173.157 amin 166.961 168.898 168.127 amax 181.083 181.929 181.618 emean 0.779 0.781 0.780 emin 0.769 0.772 0.771 emax 0.793 0.792 0.794 imean 36.322 36.293 36.295 imin 35.282 35.268 35.276 imax 37.208 37.238 37.248 excite_mean 0.978 0.980 0.979 fracstop 1.000 1.000 1.000 cjmean 2.591 2.591 2.591 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 314.4 310.2 309.6 kozaiamp 180.0 180.0 180.0