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: 13RW156 # Created Fri Nov 22 02:09:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 10 observations of 10 # Arc: 11.06y # First observation: 2013/09/10 # Last observation: 2024/10/01 # Chi-squared of fit: 4.68 DOF: 14 RMS: 0.12 # Min/Max residuals: -0.18 0.27 # Exact a, adot, b, bdot, g, gdot: 1.591478E-05 2.338518E-02 -1.198005E-06 -2.640380E-03 2.453707E-02 -2.190990E-03 # Covariance matrix: 6.1448E-13 -1.8729E-13 -8.5536E-15 2.2918E-14 1.0375E-12 -6.2602E-13 -1.8729E-13 1.1428E-13 1.5347E-14 -1.3162E-14 -9.3817E-14 3.9305E-13 -8.5536E-15 1.5347E-14 3.0577E-13 -3.9395E-14 1.0478E-13 4.8376E-14 2.2918E-14 -1.3162E-14 -3.9395E-14 1.0896E-14 4.9781E-14 -5.2048E-14 1.0375E-12 -9.3817E-14 1.0478E-13 4.9781E-14 8.1887E-12 -9.6344E-13 -6.2602E-13 3.9305E-13 4.8376E-14 -5.2048E-14 -9.6344E-13 1.5147E-12 # lat0 lon0 xBary yBary zBary JD0 14.688899 -37.138472 -0.416492 0.232798 -0.887745 2456545.640458 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 258.53980 +/- 0.267 Argument of Peri: 225.17442 +/- 0.212 Long of Asc Node: 208.46239 +/- 0.001 Inclination: 15.78235 +/- 0.000 Eccentricity: 0.08727937 +/- 0.0001 Semi-Major Axis: 40.64987102 +/- 0.0181 Time of Perihelion: 2483226.1674 +/- 83.7 Perihelion: 37.10197575 +/- 0.0172 Aphelion: 44.19776629 +/- 0.0203 Period (y) 259.1773 +/- 0.17 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.41009889 +/- 0.0037 Ecliptic Y -24.02027151 +/- 0.0028 Ecliptic Z 10.33412686 +/- 0.0012 Ecliptic XDOT 0.00144022 +/- 0.0000 Ecliptic YDOT 0.00217661 +/- 0.0000 Ecliptic ZDOT -0.00034684 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.64356424 +/- 0.0033 Geocenter to KBO 40.75476039 +/- 0.0048 # Hcoef: 7.44
The following table shows the complete astrometric record for 13RW156. 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 (13RW156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.13968 21 21 49.194 +00 01 10.15 23.8r 13RW156 W84 C~52RN 2013 09 13.11069 21 21 37.918 -00 00 21.97 22.5i 13RW156 W84 C~52RN 2013 10 10.07341 21 20 20.372 -00 14 21.03 23.5r 13RW156 W84 C~52RN 2016 09 07.14473 21 37 53.961 +00 53 23.72 23.2r 13RW156 W84 C~52RN 2016 09 08.06963 21 37 50.118 +00 52 55.04 23.1z 13RW156 W84 C~52RN 2016 09 26.02422 21 36 43.726 +00 43 17.80 24.2r 13RW156 W84 C~52RN 2017 09 27.07074 21 42 00.873 +00 59 48.74 23.8i 13RW156 W84 C~52RN 2018 09 17.20255 21 47 58.823 +01 22 23.31 23.5r 13RW156 W84 C~52RN 2024 10 01.149690 22 19 51.815 +02 57 40.29 23.7G 13RW156 G37 C~8GyC 2024 10 01.191970 22 19 51.684 +02 57 38.90 13RW156 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 -0.13 0.00 -0.15
2 0.0081 0.00 0.09 0.00 0.05
3 0.0820 0.00 0.01 0.00 0.09
4 2.9925 0.00 0.27 0.00 -0.12
5 2.9950 0.00 -0.01 0.00 0.08
6 3.0442 0.00 -0.09 0.00 0.11
7 4.0464 0.00 0.06 0.00 0.02
8 5.0187 0.00 -0.18 0.00 -0.08
9 11.0582 0.00 -0.16 0.00 -0.03
10 11.0583 0.00 0.18 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.
13RW156 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.794 40.794 40.794 ecceobj 0.087 0.087 0.087 incobj 15.779 15.779 15.779 qmin 36.190 36.192 36.202 qmax 45.620 45.653 45.625 amean 40.791 40.791 40.792 amin 40.462 40.465 40.465 amax 41.131 41.133 41.142 emean 0.092 0.092 0.092 emin 0.078 0.078 0.078 emax 0.110 0.110 0.109 imean 17.031 17.031 17.031 imin 16.034 16.035 16.039 imax 17.866 17.867 17.859 excite_mean 0.307 0.307 0.307 fracstop 1.000 1.000 1.000 cjmean 2.954 2.954 2.954 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 181.0 180.9 180.9 kozaiamp 180.0 179.9 179.9