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: 13RE156 # Created Fri Nov 22 02:09:32 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 17 observations of 17 # Arc: 11.06y # First observation: 2013/09/08 # Last observation: 2024/10/01 # Chi-squared of fit: 7.57 DOF: 28 RMS: 0.12 # Min/Max residuals: -0.23 0.23 # Exact a, adot, b, bdot, g, gdot: 1.706723E-05 2.680826E-02 9.387711E-07 2.763481E-03 2.626342E-02 1.386471E-04 # Covariance matrix: 3.4298E-13 -6.3566E-14 2.2616E-14 -3.5812E-15 4.0351E-13 -1.5929E-13 -6.3566E-14 8.3700E-14 2.4959E-16 8.2232E-15 2.8415E-13 2.3800E-13 2.2616E-14 2.4959E-16 1.9102E-13 -2.4678E-14 9.1854E-14 -5.9773E-15 -3.5812E-15 8.2232E-15 -2.4678E-14 6.9287E-15 3.2196E-14 2.5051E-14 4.0351E-13 2.8415E-13 9.1854E-14 3.2196E-14 3.2211E-12 7.0930E-13 -1.5929E-13 2.3800E-13 -5.9773E-15 2.5051E-14 7.0930E-13 7.4154E-13 # lat0 lon0 xBary yBary zBary JD0 12.431444 -37.080671 -0.384234 0.200790 -0.910493 2456543.627528 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 18.82788 +/- 0.115 Argument of Peri: 44.51616 +/- 0.125 Long of Asc Node: 259.27115 +/- 0.001 Inclination: 13.43054 +/- 0.000 Eccentricity: 0.03885064 +/- 0.0002 Semi-Major Axis: 40.46843605 +/- 0.0111 Time of Perihelion: 2451626.6871 +/- 30.1 Perihelion: 38.89621123 +/- 0.0130 Aphelion: 42.04066088 +/- 0.0137 Period (y) 257.4440 +/- 0.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.63978029 +/- 0.0020 Ecliptic Y -22.67173780 +/- 0.0015 Ecliptic Z 8.19665176 +/- 0.0006 Ecliptic XDOT 0.00164061 +/- 0.0000 Ecliptic YDOT 0.00225727 +/- 0.0000 Ecliptic ZDOT 0.00028458 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.98702742 +/- 0.0018 Geocenter to KBO 38.07580826 +/- 0.0026 # Hcoef: 7.11
The following table shows the complete astrometric record for 13RE156. 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 (13RE156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 08.12675 21 24 53.928 -02 06 12.58 22.7g 13RE156 W84 C~52RL 2013 09 13.11802 21 24 33.194 -02 08 34.33 22.3i 13RE156 W84 C~52RL 2013 09 13.12082 21 24 33.186 -02 08 34.12 22.2z 13RE156 W84 C~52RL 2013 09 24.03670 21 23 52.781 -02 13 45.75 24.2g 13RE156 W84 C~52RL 2013 10 11.05883 21 23 06.823 -02 21 28.78 22.9z 13RE156 W84 C~52RL 2016 09 08.08340 21 41 42.232 -00 11 28.55 23.0i 13RE156 W84 C~52RL 2016 09 08.14337 21 41 41.959 -00 11 30.27 23.7g 13RE156 W84 C~52RL 2016 09 28.05946 21 40 23.808 -00 21 28.97 23.0z 13RE156 W84 C~52RL 2017 10 10.08599 21 45 23.303 +00 10 45.73 23.8g 13RE156 W84 C~52RL 2017 10 11.11449 21 45 20.733 +00 10 15.70 22.8i 13RE156 W84 C~52RL 2017 10 21.03381 21 45 00.585 +00 05 41.83 23.2g 13RE156 W84 C~52RL 2017 10 21.03519 21 45 00.592 +00 05 41.69 23.2r 13RE156 W84 C~52RL 2017 10 22.03537 21 44 59.038 +00 05 15.59 23.0r 13RE156 W84 C~52RL 2018 09 29.03022 21 51 31.802 +00 54 30.68 23.8g 13RE156 W84 C~52RL 2024 10 01.115860 22 24 55.094 +04 40 42.36 23.0G 13RE156 G37 C~8GyC 2024 10 01.158620 22 24 54.912 +04 40 41.15 13RE156 G37 C~8GyC 2024 10 01.200850 22 24 54.750 +04 40 39.88 13RE156 G37 C~8GyC
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 -0.23 0.00 0.08
2 0.0137 0.00 0.06 0.00 -0.10
3 0.0137 0.00 0.11 0.00 0.19
4 0.0436 0.00 0.11 0.00 -0.14
5 0.0902 0.00 0.02 0.00 -0.08
6 3.0006 0.00 0.06 0.00 0.01
7 3.0007 0.00 0.02 0.00 0.05
8 3.0553 0.00 -0.17 0.00 -0.18
9 4.0875 0.00 0.11 0.00 0.23
10 4.0903 0.00 0.11 0.00 -0.04
11 4.1175 0.00 -0.10 0.00 0.10
12 4.1175 0.00 0.04 0.00 -0.00
13 4.1202 0.00 -0.11 0.00 -0.02
14 5.0565 0.00 0.00 0.00 -0.06
15 11.0636 0.00 0.15 0.00 -0.22
16 11.0637 0.00 -0.09 0.00 0.01
17 11.0639 0.00 -0.05 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.
13RE156 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.604 40.604 40.604 ecceobj 0.042 0.042 0.042 incobj 13.443 13.443 13.443 qmin 38.151 38.151 38.152 qmax 43.226 43.228 43.225 amean 40.627 40.627 40.627 amin 40.312 40.313 40.312 amax 40.943 40.943 40.943 emean 0.042 0.042 0.042 emin 0.028 0.028 0.028 emax 0.057 0.057 0.057 imean 15.434 15.434 15.434 imin 14.320 14.320 14.320 imax 16.268 16.268 16.268 excite_mean 0.269 0.269 0.269 fracstop 1.000 1.000 1.000 cjmean 2.977 2.977 2.977 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 176.8 176.7 176.8 kozaiamp 180.0 180.0 180.0