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: 13RY156 # Created Sat Apr 27 01:14:56 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 15 observations of 15 # Arc: 9.99y # First observation: 2013/09/10 # Last observation: 2023/09/06 # Chi-squared of fit: 2.53 DOF: 24 RMS: 0.07 # Min/Max residuals: -0.19 0.16 # Exact a, adot, b, bdot, g, gdot: 1.518794E-05 2.412441E-02 -3.379276E-06 -4.185550E-03 2.429008E-02 5.974169E-03 # Covariance matrix: 3.8998E-13 -6.9761E-14 7.5890E-15 4.6686E-15 3.3895E-13 -1.2325E-13 -6.9761E-14 1.3467E-13 4.4954E-14 -2.3289E-14 4.9689E-13 5.7979E-13 7.5890E-15 4.4954E-14 2.7725E-13 -4.5304E-14 2.5101E-13 2.1135E-13 4.6686E-15 -2.3289E-14 -4.5304E-14 1.3000E-14 -9.7288E-14 -1.0750E-13 3.3895E-13 4.9689E-13 2.5101E-13 -9.7288E-14 3.7457E-12 2.3953E-12 -1.2325E-13 5.7979E-13 2.1135E-13 -1.0750E-13 2.3953E-12 2.6746E-12 # lat0 lon0 xBary yBary zBary JD0 11.407847 -34.115516 -0.368349 0.185636 -0.919556 2456545.692638 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 45.50748 +/- 0.030 Argument of Peri: 56.45825 +/- 0.045 Long of Asc Node: 194.35078 +/- 0.001 Inclination: 14.87151 +/- 0.000 Eccentricity: 0.28181786 +/- 0.0001 Semi-Major Axis: 49.13731368 +/- 0.0168 Time of Perihelion: 2440642.8870 +/- 13.2 Perihelion: 35.28954133 +/- 0.0128 Aphelion: 62.98508603 +/- 0.0219 Period (y) 344.4493 +/- 0.18 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.39419615 +/- 0.0027 Ecliptic Y -22.85226511 +/- 0.0018 Ecliptic Z 8.14274791 +/- 0.0006 Ecliptic XDOT 0.00214264 +/- 0.0000 Ecliptic YDOT 0.00182752 +/- 0.0000 Ecliptic ZDOT -0.00032913 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.08892049 +/- 0.0024 Geocenter to KBO 41.16894802 +/- 0.0033 # Hcoef: 6.85
The following table shows the complete astrometric record for 13RY156. 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 (13RY156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.19186 21 37 12.745 -02 07 59.12 22.0i 13RY156 W84 C~52RN 2013 09 11.16805 21 37 08.928 -02 08 28.55 23.1r 13RY156 W84 C~52RN 2013 09 11.17224 21 37 08.905 -02 08 28.71 23.3i 13RY156 W84 C~52RN 2013 10 11.06026 21 35 37.651 -02 23 05.42 22.7z 13RY156 W84 C~52RN 2016 09 26.07159 21 52 30.401 -01 35 26.72 23.5r 13RY156 W84 C~52RN 2016 09 26.07297 21 52 30.400 -01 35 26.79 22.8i 13RY156 W84 C~52RN 2017 10 10.10577 21 57 07.497 -01 28 49.44 23.6r 13RY156 W84 C~52RN 2017 10 11.10442 21 57 05.065 -01 29 17.08 23.0i 13RY156 W84 C~52RN 2018 09 18.20414 22 03 31.441 -01 04 42.17 22.7z 13RY156 W84 C~52RN 2018 09 29.04412 22 02 53.303 -01 10 07.98 23.0i 13RY156 W84 C~52RN 2018 10 28.00837 22 01 47.011 -01 23 12.38 23.7r 13RY156 W84 C~52RN 2018 11 26.02862 22 01 48.942 -01 31 25.95 22.5z 13RY156 W84 C~52RN 2023 09 06.164700 22 29 39.156 +00 06 01.30 23.5G 13RY156 G37 C~7Ax8 2023 09 06.210610 22 29 38.954 +00 06 00.04 13RY156 G37 C~7Ax8 2023 09 06.249330 22 29 38.790 +00 05 58.83 13RY156 G37 C~7Ax8
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 0.06 0.00 0.16
2 0.0027 0.00 0.06 0.00 -0.03
3 0.0027 0.00 -0.04 0.00 -0.07
4 0.0845 0.00 -0.06 0.00 0.08
5 3.0442 0.00 -0.05 0.00 -0.03
6 3.0442 0.00 0.00 0.00 -0.05
7 4.0819 0.00 0.05 0.00 -0.19
8 4.0846 0.00 -0.01 0.00 0.02
9 5.0213 0.00 -0.04 0.00 -0.11
10 5.0509 0.00 0.03 0.00 0.14
11 5.1302 0.00 0.03 0.00 0.02
12 5.2097 0.00 0.03 0.00 0.00
13 9.9876 0.00 0.09 0.00 0.02
14 9.9877 0.00 -0.05 0.00 0.07
15 9.9878 0.00 -0.08 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.
13RY156 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 49.315 49.315 49.315 ecceobj 0.283 0.283 0.283 incobj 14.856 14.856 14.856 qmin 34.452 34.535 34.620 qmax 65.450 65.237 64.933 amean 49.541 49.539 49.389 amin 49.003 48.994 48.883 amax 50.251 50.175 50.018 emean 0.285 0.283 0.279 emin 0.266 0.265 0.261 emax 0.304 0.301 0.299 imean 15.057 15.160 15.292 imin 14.151 14.362 14.414 imax 15.955 16.019 15.861 excite_mean 0.386 0.386 0.384 fracstop 1.000 1.000 1.000 cjmean 2.983 2.983 2.983 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 187.6 184.0 177.7 kozaiamp 180.0 180.0 180.0