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: 13RV156 # Created Mon Jul 7 01:09:38 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 19 observations of 19 # Arc: 5.01y # First observation: 2013/09/09 # Last observation: 2018/09/11 # Chi-squared of fit: 8.96 DOF: 32 RMS: 0.12 # Min/Max residuals: -0.22 0.18 # Exact a, adot, b, bdot, g, gdot: 1.532683E-05 2.632831E-02 3.429404E-07 1.159084E-03 2.551131E-02 1.846456E-04 # Covariance matrix: 3.4332E-13 -3.4237E-14 6.3516E-16 1.3081E-15 3.1598E-13 3.3153E-13 -3.4237E-14 2.1766E-13 -3.2103E-15 9.0876E-15 2.3255E-13 1.8096E-12 6.3516E-16 -3.2103E-15 1.8459E-13 -5.3290E-14 -2.1223E-15 -2.9422E-14 1.3081E-15 9.0876E-15 -5.3290E-14 2.6682E-14 1.1808E-14 8.6313E-14 3.1598E-13 2.3255E-13 -2.1223E-15 1.1808E-14 8.2965E-13 2.4838E-12 3.3153E-13 1.8096E-12 -2.9422E-14 8.6313E-14 2.4838E-12 1.7256E-11 # lat0 lon0 xBary yBary zBary JD0 -5.280686 15.141091 0.484566 -0.081268 -0.880269 2456544.754918 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 355.57269 +/- 0.096 Argument of Peri: 300.56089 +/- 0.114 Long of Asc Node: 79.03643 +/- 0.003 Inclination: 5.71370 +/- 0.000 Eccentricity: 0.08418805 +/- 0.0001 Semi-Major Axis: 43.75222693 +/- 0.0062 Time of Perihelion: 2457844.4781 +/- 35.8 Perihelion: 40.06881215 +/- 0.0073 Aphelion: 47.43564171 +/- 0.0081 Period (y) 289.4066 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.65641431 +/- 0.0013 Ecliptic Y 9.96122803 +/- 0.0004 Ecliptic Z -3.60761483 +/- 0.0001 Ecliptic XDOT -0.00071410 +/- 0.0000 Ecliptic YDOT 0.00273444 +/- 0.0000 Ecliptic ZDOT 0.00012218 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.08191213 +/- 0.0013 Geocenter to KBO 39.19832996 +/- 0.0014 # Hcoef: 7.70
The following table shows the complete astrometric record for 13RV156. 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 (13RV156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.25414 01 03 54.967 +01 05 22.73 24.1g 13RV156 W84 C~52RN 2013 09 10.35978 01 03 50.614 +01 04 51.71 23.6r 13RV156 W84 C~52RN 2013 09 10.36117 01 03 50.591 +01 04 51.59 23.0i 13RV156 W84 C~52RN 2013 10 13.20726 01 01 23.787 +00 49 05.59 23.3i 13RV156 W84 C~52RN 2013 10 13.20863 01 01 23.797 +00 49 05.69 22.6z 13RV156 W84 C~52RN 2013 11 08.17829 00 59 29.176 +00 38 42.79 23.3r 13RV156 W84 C~52RN 2013 11 08.19267 00 59 29.105 +00 38 42.39 23.2i 13RV156 W84 C~52RN 2015 10 10.32052 01 12 37.78 +02 07 37.4 23.8r 13RV156 T09 C~8vDK 2015 10 10.35457 01 12 37.62 +02 07 36.4 23.9r 13RV156 T09 C~8vDK 2015 10 14.33462 01 12 18.85 +02 05 45.2 24.8g 13RV156 T09 C~8vDK 2015 10 14.36882 01 12 18.67 +02 05 44.4 24.7g 13RV156 T09 C~8vDK 2015 11 07.11873 01 10 31.132 +01 55 57.31 23.5r 13RV156 W84 C~52RN 2016 10 23.22109 01 17 02.531 +02 39 48.33 23.8r 13RV156 W84 C~52RN 2016 11 05.16032 01 16 04.297 +02 34 39.07 24.0r 13RV156 W84 C~52RN 2016 11 05.18100 01 16 04.207 +02 34 38.39 23.5i 13RV156 W84 C~52RN 2017 08 22.39195 01 26 41.409 +03 45 04.80 23.5r 13RV156 W84 C~52RN 2017 08 22.39332 01 26 41.418 +03 45 04.62 23.4i 13RV156 W84 C~52RN 2018 09 11.35023 01 31 09.049 +04 15 22.83 24.0r 13RV156 W84 C~52RN 2018 09 11.35161 01 31 09.023 +04 15 22.80 23.5i 13RV156 W84 C~52RN
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 0.16 0.00 0.15
2 0.0030 0.00 0.16 0.00 -0.03
3 0.0030 0.00 -0.10 0.00 -0.11
4 0.0930 0.00 -0.09 0.00 -0.08
5 0.0930 0.00 0.16 0.00 0.06
6 0.1641 0.00 0.04 0.00 -0.02
7 0.1641 0.00 -0.15 0.00 -0.14
8 2.0837 0.00 -0.19 0.00 -0.00
9 2.0838 0.00 -0.15 0.00 -0.04
10 2.0947 0.00 0.01 0.00 0.02
11 2.0948 0.00 -0.22 0.00 0.16
12 2.1598 0.00 0.11 0.00 0.18
13 3.1211 0.00 0.01 0.00 0.15
14 3.1565 0.00 0.13 0.00 0.07
15 3.1565 0.00 0.13 0.00 -0.16
16 3.9511 0.00 -0.06 0.00 0.02
17 3.9511 0.00 0.13 0.00 -0.13
18 5.0051 0.00 0.16 0.00 -0.04
19 5.0051 0.00 -0.15 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.
13RV156 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE axisobj 44.010 44.010 44.010 ecceobj 0.090 0.090 0.090 incobj 5.716 5.716 5.716 qmin 38.750 38.761 38.731 qmax 48.947 48.964 48.982 amean 43.727 43.727 43.727 amin 43.369 43.369 43.369 amax 44.117 44.117 44.118 emean 0.090 0.090 0.090 emin 0.062 0.062 0.061 emax 0.111 0.111 0.111 imean 2.957 2.987 2.934 imin 1.970 1.979 1.964 imax 5.096 5.092 5.099 excite_mean 0.105 0.105 0.105 fracstop 1.000 1.000 1.000 cjmean 3.085 3.085 3.085 libcent 0 183.2 183.3 183.4 libamp 0 70.8 71.0 71.2 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 152.8 154.1 152.0 kozaiamp 180.0 180.0 180.0