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: 13RS156 # Created Tue Apr 1 01:09:37 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 5.21y # First observation: 2013/09/09 # Last observation: 2018/11/26 # Chi-squared of fit: 6.49 DOF: 30 RMS: 0.11 # Min/Max residuals: -0.32 0.21 # Exact a, adot, b, bdot, g, gdot: 1.886727E-05 2.916781E-02 -5.528959E-06 -7.436675E-03 2.615834E-02 5.284325E-03 # Covariance matrix: 4.7350E-13 -1.4247E-13 -1.0153E-14 1.8326E-14 1.9701E-13 -5.0189E-13 -1.4247E-13 2.6756E-13 3.4662E-14 -6.8291E-14 1.3649E-13 1.8600E-12 -1.0153E-14 3.4662E-14 3.3291E-13 -8.7508E-14 1.7832E-14 2.6563E-13 1.8326E-14 -6.8291E-14 -8.7508E-14 4.4027E-14 -3.8183E-14 -5.2327E-13 1.9701E-13 1.3649E-13 1.7832E-14 -3.8183E-14 5.0138E-13 1.0349E-12 -5.0189E-13 1.8600E-12 2.6563E-13 -5.2327E-13 1.0349E-12 1.4252E-11 # lat0 lon0 xBary yBary zBary JD0 -0.613715 0.701614 0.249800 -0.010375 -0.976635 2456544.696998 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 14.72475 +/- 0.008 Argument of Peri: 147.61654 +/- 0.020 Long of Asc Node: 177.99329 +/- 0.000 Inclination: 14.31043 +/- 0.000 Eccentricity: 0.38600479 +/- 0.0001 Semi-Major Axis: 60.67201121 +/- 0.0121 Time of Perihelion: 2449484.1484 +/- 4.5 Perihelion: 37.25232406 +/- 0.0109 Aphelion: 84.09169836 +/- 0.0185 Period (y) 472.5968 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.20304764 +/- 0.0010 Ecliptic Y 0.23346227 +/- 0.0000 Ecliptic Z -0.40969487 +/- 0.0000 Ecliptic XDOT 0.00050111 +/- 0.0000 Ecliptic YDOT 0.00305813 +/- 0.0000 Ecliptic ZDOT -0.00078410 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.20576742 +/- 0.0010 Geocenter to KBO 38.22864140 +/- 0.0010 # Hcoef: 7.38
The following table shows the complete astrometric record for 13RS156. 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 (13RS156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.19622 00 03 33.079 -00 17 02.40 23.6g 13RS156 W84 C~52RN 2013 09 11.29851 00 03 23.884 -00 18 12.58 23.5g 13RS156 W84 C~52RN 2013 11 22.06122 23 58 57.608 -00 51 57.69 23.5r 13RS156 W84 C~52RN 2013 11 22.08831 23 58 57.565 -00 51 58.15 22.8i 13RS156 W84 C~52RN 2015 11 02.09653 00 13 14.280 -00 12 41.34 23.2r 13RS156 W84 C~52RN 2016 09 10.32821 00 23 32.033 +00 30 32.58 23.0i 13RS156 W84 C~52RN 2016 09 10.32957 00 23 32.040 +00 30 32.67 23.5r 13RS156 W84 C~52RN 2016 11 30.10650 00 18 37.124 -00 05 30.95 23.4i 13RS156 W84 C~52RN 2016 11 30.10788 00 18 37.128 -00 05 31.06 23.0r 13RS156 W84 C~52RN 2017 09 27.21025 00 28 52.306 +00 37 05.69 23.5r 13RS156 W84 C~52RN 2017 09 27.21161 00 28 52.299 +00 37 05.70 22.7i 13RS156 W84 C~52RN 2017 09 27.21299 00 28 52.288 +00 37 05.71 23.9g 13RS156 W84 C~52RN 2017 10 22.18847 00 27 03.062 +00 23 51.23 24.0g 13RS156 W84 C~52RN 2018 09 09.22996 00 36 39.142 +01 02 36.24 23.6z 13RS156 W84 C~52RN 2018 10 10.25683 00 34 24.225 +00 45 43.39 23.2r 13RS156 W84 C~52RN 2018 10 10.25820 00 34 24.230 +00 45 43.42 23.1i 13RS156 W84 C~52RN 2018 10 18.18917 00 33 49.693 +00 41 36.16 22.9z 13RS156 W84 C~52RN 2018 11 26.07111 00 31 39.217 +00 26 39.84 24.4g 13RS156 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 -0.32 0.00 0.09
2 0.0058 0.00 0.20 0.00 -0.03
3 0.2022 0.00 -0.00 0.00 0.04
4 0.2023 0.00 0.06 0.00 -0.04
5 2.1462 0.00 0.21 0.00 -0.01
6 3.0038 0.00 -0.13 0.00 0.01
7 3.0038 0.00 0.06 0.00 0.14
8 3.2249 0.00 -0.07 0.00 -0.07
9 3.2249 0.00 0.02 0.00 -0.17
10 4.0493 0.00 0.07 0.00 -0.05
11 4.0493 0.00 0.06 0.00 0.00
12 4.0493 0.00 -0.01 0.00 0.06
13 4.1177 0.00 -0.07 0.00 -0.13
14 4.9994 0.00 -0.08 0.00 0.11
15 5.0844 0.00 -0.07 0.00 0.01
16 5.0844 0.00 0.10 0.00 0.08
17 5.1061 0.00 0.16 0.00 -0.03
18 5.2125 0.00 -0.09 0.00 0.02
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.
13RS156 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 61.225 61.225 61.225 ecceobj 0.392 0.392 0.392 incobj 14.276 14.276 14.276 qmin 36.413 36.407 36.399 qmax 86.231 86.241 86.112 amean 60.719 60.713 60.628 amin 60.036 60.022 59.904 amax 61.642 61.624 61.575 emean 0.386 0.386 0.386 emin 0.373 0.373 0.373 emax 0.399 0.400 0.399 imean 14.085 14.067 13.887 imin 13.497 13.499 13.448 imax 14.804 14.755 14.487 excite_mean 0.456 0.456 0.455 fracstop 1.000 1.000 1.000 cjmean 3.037 3.037 3.038 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 178.4 178.7 189.0 kozaiamp 180.0 180.0 180.0