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: 13RA156 # Created Sun Dec 22 02:09:34 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 11.23y # First observation: 2013/09/02 # Last observation: 2024/11/24 # Chi-squared of fit: 3.76 DOF: 30 RMS: 0.08 # Min/Max residuals: -0.23 0.13 # Exact a, adot, b, bdot, g, gdot: 1.608400E-05 3.103189E-02 3.421667E-06 6.733449E-03 3.055895E-02 6.749802E-04 # Covariance matrix: 5.4281E-13 -1.3178E-13 4.5589E-14 -3.1796E-14 3.0237E-13 -3.7220E-13 -1.3178E-13 1.0007E-13 -3.1257E-14 2.2492E-14 3.7209E-14 2.6498E-13 4.5589E-14 -3.1257E-14 1.6441E-13 -2.8086E-14 -5.7971E-16 -8.9746E-14 -3.1796E-14 2.2492E-14 -2.8086E-14 1.1113E-14 1.7725E-15 6.4346E-14 3.0237E-13 3.7209E-14 -5.7971E-16 1.7725E-15 4.7966E-13 2.4097E-14 -3.7220E-13 2.6498E-13 -8.9746E-14 6.4346E-14 2.4097E-14 7.5752E-13 # lat0 lon0 xBary yBary zBary JD0 -4.996410 15.401053 0.588988 -0.071371 -0.817428 2456537.860308 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 178.16498 +/- 0.027 Argument of Peri: 159.50004 +/- 0.018 Long of Asc Node: 35.94359 +/- 0.000 Inclination: 13.06989 +/- 0.000 Eccentricity: 0.08184381 +/- 0.0001 Semi-Major Axis: 31.00983319 +/- 0.0024 Time of Perihelion: 2425323.2063 +/- 6.0 Perihelion: 28.47187033 +/- 0.0029 Aphelion: 33.54779605 +/- 0.0033 Period (y) 172.6861 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.37579138 +/- 0.0007 Ecliptic Y 8.31058496 +/- 0.0002 Ecliptic Z -2.84991552 +/- 0.0001 Ecliptic XDOT -0.00063581 +/- 0.0000 Ecliptic YDOT 0.00270924 +/- 0.0000 Ecliptic ZDOT 0.00059585 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.54667823 +/- 0.0007 Geocenter to KBO 32.72365653 +/- 0.0007 # Hcoef: 7.85
The following table shows the complete astrometric record for 13RA156. 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 (13RA156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.35953 01 04 26.168 +01 27 05.50 24.2g 13RA156 W84 C~52RL 2013 10 03.12129 01 01 47.746 +01 11 00.90 23.2g 13RA156 W84 C~52RL 2013 10 13.20726 01 00 50.005 +01 05 43.64 22.9i 13RA156 W84 C~52RL 2013 11 08.19267 00 58 30.119 +00 54 20.77 22.9i 13RA156 W84 C~52RL 2014 11 18.15582 01 03 44.046 +01 53 35.48 22.6z 13RA156 W84 C~52RL 2015 11 07.11042 01 10 35.722 +02 59 32.23 22.9r 13RA156 W84 C~52RL 2015 11 07.11179 01 10 35.725 +02 59 32.11 22.7i 13RA156 W84 C~52RL 2015 11 07.11317 01 10 35.717 +02 59 32.22 23.7g 13RA156 W84 C~52RL 2015 11 20.13788 01 09 34.263 +02 55 10.31 22.8z 13RA156 W84 C~52RL 2016 08 26.33786 01 22 47.647 +04 35 45.33 22.8i 13RA156 W84 C~52RL 2016 08 26.33924 01 22 47.651 +04 35 45.31 22.9r 13RA156 W84 C~52RL 2016 10 23.21972 01 17 52.966 +04 07 58.80 23.9g 13RA156 W84 C~52RL 2016 10 29.16012 01 17 19.531 +04 05 12.60 22.9r 13RA156 W84 C~52RL 2016 10 29.16150 01 17 19.531 +04 05 12.61 22.8i 13RA156 W84 C~52RL 2016 11 06.13866 01 16 36.486 +04 01 47.39 23.0z 13RA156 W84 C~52RL 2024 11 24.133640 02 04 08.081 +12 05 06.92 22.9G 13RA156 G37 C~8SP3 2024 11 24.177250 02 04 07.866 +12 05 05.98 13RA156 G37 C~8SP3 2024 11 24.220750 02 04 07.624 +12 05 04.84 13RA156 G37 C~8SP3
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 -0.01 0.00 0.01
2 0.0842 0.00 0.04 0.00 0.02
3 0.1118 0.00 -0.14 0.00 0.09
4 0.1830 0.00 0.06 0.00 -0.03
5 1.2096 0.00 -0.13 0.00 0.01
6 2.1786 0.00 -0.05 0.00 0.03
7 2.1787 0.00 0.10 0.00 -0.06
8 2.1787 0.00 0.09 0.00 0.08
9 2.2143 0.00 0.07 0.00 -0.00
10 2.9815 0.00 -0.07 0.00 0.04
11 2.9815 0.00 0.06 0.00 0.05
12 3.1399 0.00 0.01 0.00 -0.23
13 3.1562 0.00 0.01 0.00 -0.03
14 3.1562 0.00 0.13 0.00 0.02
15 3.1780 0.00 -0.08 0.00 -0.00
16 11.2273 0.00 -0.07 0.00 0.04
17 11.2274 0.00 0.12 0.00 0.08
18 11.2275 0.00 -0.10 0.00 -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.
13RA156 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 31.128 31.128 31.128 ecceobj 0.078 0.078 0.078 incobj 13.050 13.050 13.050 qmin 24.169 23.847 23.757 qmax 40.181 41.417 38.633 amean 31.810 31.736 31.379 amin 30.635 30.448 30.561 amax 33.230 34.051 33.765 emean 0.166 0.161 0.159 emin 0.076 0.078 0.062 emax 0.225 0.223 0.231 imean 10.456 9.943 10.305 imin 7.750 6.549 4.684 imax 13.971 13.322 14.342 excite_mean 0.251 0.240 0.246 fracstop 0.083 0.225 0.170 cjmean 2.937 2.943 2.940 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 182.9 182.3 181.1 kozaiamp 64.0 60.5 73.2