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: 13RD156 # Created Sun Dec 22 02:09:34 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 8.98y # First observation: 2013/09/05 # Last observation: 2022/08/27 # Chi-squared of fit: 9.42 DOF: 26 RMS: 0.14 # Min/Max residuals: -0.42 0.36 # Exact a, adot, b, bdot, g, gdot: 1.304854E-05 1.936707E-02 5.200653E-06 9.943825E-03 2.276882E-02 1.334446E-03 # Covariance matrix: 3.1595E-13 -3.0896E-14 1.3522E-14 4.7689E-15 3.8019E-13 6.3149E-14 -3.0896E-14 8.3265E-14 -2.5469E-14 4.0678E-14 2.2946E-13 4.8036E-13 1.3522E-14 -2.5469E-14 2.0819E-13 -4.4026E-14 -3.5221E-14 -1.5717E-13 4.7689E-15 4.0678E-14 -4.4026E-14 3.1373E-14 1.4136E-13 2.6550E-13 3.8019E-13 2.2946E-13 -3.5221E-14 1.4136E-13 1.9378E-12 1.6914E-12 6.3149E-14 4.8036E-13 -1.5717E-13 2.6550E-13 1.6914E-12 3.1390E-12 # lat0 lon0 xBary yBary zBary JD0 11.396507 -34.018098 -0.284135 0.191441 -0.949379 2456540.551488 # Heliocentric elements and errors Epoch: 2456540.5000 = 2013/09/05 Mean Anomaly: 54.01385 +/- 0.109 Argument of Peri: 321.99394 +/- 0.132 Long of Asc Node: 305.72443 +/- 0.000 Inclination: 29.22843 +/- 0.000 Eccentricity: 0.07489849 +/- 0.0001 Semi-Major Axis: 46.74275725 +/- 0.0109 Time of Perihelion: 2439027.0171 +/- 35.8 Perihelion: 43.24179516 +/- 0.0107 Aphelion: 50.24371935 +/- 0.0123 Period (y) 319.5801 +/- 0.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.64729913 +/- 0.0022 Ecliptic Y -24.38996693 +/- 0.0015 Ecliptic Z 8.67865729 +/- 0.0005 Ecliptic XDOT 0.00123122 +/- 0.0000 Ecliptic YDOT 0.00197332 +/- 0.0000 Ecliptic ZDOT 0.00120397 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.86881266 +/- 0.0020 Geocenter to KBO 43.91970489 +/- 0.0027 # Hcoef: 6.70
The following table shows the complete astrometric record for 13RD156. 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 (13RD156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 05.05071 21 37 35.295 -02 06 44.30 22.8g 13RD156 W84 C~52RL 2013 09 11.16668 21 37 10.536 -02 08 53.37 23.6g 13RD156 W84 C~52RL 2013 09 11.16805 21 37 10.525 -02 08 53.59 23.2r 13RD156 W84 C~52RL 2013 09 11.17224 21 37 10.513 -02 08 53.82 23.2i 13RD156 W84 C~52RL 2013 10 11.06026 21 35 36.420 -02 19 14.19 23.0z 13RD156 W84 C~52RL 2013 10 12.01636 21 35 34.372 -02 19 32.25 22.9z 13RD156 W84 C~52RL 2016 08 25.23225 21 48 34.992 +00 38 52.52 21.6z 13RD156 W84 C~52RL 2017 09 27.07214 21 49 49.233 +01 20 20.31 23.6r 13RD156 W84 C~52RL 2017 09 27.07351 21 49 49.238 +01 20 20.21 23.6z 13RD156 W84 C~52RL 2017 10 21.03381 21 48 48.377 +01 11 15.92 23.8g 13RD156 W84 C~52RL 2017 10 21.03519 21 48 48.364 +01 11 15.79 23.3r 13RD156 W84 C~52RL 2017 10 22.03674 21 48 46.725 +01 10 55.41 24.3r 13RD156 W84 C~52RL 2017 10 22.03812 21 48 46.690 +01 10 55.43 22.9i 13RD156 W84 C~52RL 2022 08 27.231820 22 08 50.953 +05 58 08.42 23.3G 13RD156 G37 C~5nHa 2022 08 27.278980 22 08 50.743 +05 58 07.65 13RD156 G37 C~5nHa 2022 08 27.325850 22 08 50.543 +05 58 06.68 13RD156 G37 C~5nHa
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 -0.04 0.00 0.36
2 0.0167 0.00 -0.01 0.00 0.14
3 0.0167 0.00 -0.09 0.00 -0.05
4 0.0168 0.00 -0.02 0.00 -0.19
5 0.0986 0.00 0.01 0.00 -0.06
6 0.1012 0.00 0.16 0.00 -0.16
7 2.9711 0.00 -0.02 0.00 -0.13
8 4.0603 0.00 0.08 0.00 0.07
9 4.0603 0.00 0.22 0.00 0.00
10 4.1259 0.00 0.13 0.00 0.02
11 4.1259 0.00 -0.03 0.00 -0.08
12 4.1286 0.00 0.07 0.00 0.04
13 4.1286 0.00 -0.42 0.00 0.08
14 8.9752 0.00 -0.05 0.00 -0.09
15 8.9753 0.00 -0.06 0.00 0.06
16 8.9754 0.00 0.07 0.00 0.01
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.
13RD156 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.922 46.922 46.922 ecceobj 0.077 0.077 0.077 incobj 29.174 29.174 29.174 qmin 42.438 42.444 42.444 qmax 51.551 51.556 51.543 amean 46.881 46.881 46.880 amin 46.510 46.515 46.504 amax 47.283 47.284 47.280 emean 0.078 0.078 0.078 emin 0.068 0.068 0.068 emax 0.090 0.091 0.090 imean 30.645 30.645 30.645 imin 30.437 30.438 30.437 imax 30.873 30.872 30.874 excite_mean 0.516 0.516 0.516 fracstop 1.000 1.000 1.000 cjmean 2.783 2.783 2.783 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 167.7 167.7 167.6 kozaiamp 179.9 180.0 179.9