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: 13RO109 # Created Tue Apr 1 01:09:34 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 32 observations of 32 # Arc: 5.21y # First observation: 2013/09/11 # Last observation: 2018/11/26 # Chi-squared of fit: 8.32 DOF: 58 RMS: 0.09 # Min/Max residuals: -0.30 0.27 # Exact a, adot, b, bdot, g, gdot: 1.672198E-05 2.355287E-02 -5.171982E-07 3.940780E-04 2.404778E-02 -1.435087E-04 # Covariance matrix: 2.7633E-13 -6.4986E-14 -6.2335E-16 -2.6739E-16 1.5631E-13 -1.8652E-13 -6.4986E-14 1.5092E-13 -1.4693E-15 2.7307E-15 7.5889E-14 1.4582E-12 -6.2335E-16 -1.4693E-15 1.6874E-13 -4.4376E-14 -2.1901E-15 -1.6180E-14 -2.6739E-16 2.7307E-15 -4.4376E-14 1.6080E-14 1.7782E-15 2.9572E-14 1.5631E-13 7.5889E-14 -2.1901E-15 1.7782E-15 3.1264E-13 8.7920E-13 -1.8652E-13 1.4582E-12 -1.6180E-14 2.9572E-14 8.7920E-13 1.5775E-11 # lat0 lon0 xBary yBary zBary JD0 -1.217095 1.097481 0.221485 -0.020777 -0.982626 2456546.798764 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 339.03017 +/- 0.240 Argument of Peri: 331.24591 +/- 0.259 Long of Asc Node: 52.07936 +/- 0.009 Inclination: 1.52395 +/- 0.000 Eccentricity: 0.03649368 +/- 0.0001 Semi-Major Axis: 44.06033425 +/- 0.0040 Time of Perihelion: 2462768.9663 +/- 72.5 Perihelion: 42.45241034 +/- 0.0055 Aphelion: 45.66825815 +/- 0.0057 Period (y) 292.4690 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.55345939 +/- 0.0010 Ecliptic Y 0.59684164 +/- 0.0000 Ecliptic Z -0.88331459 +/- 0.0000 Ecliptic XDOT -0.00007292 +/- 0.0000 Ecliptic YDOT 0.00267955 +/- 0.0000 Ecliptic ZDOT 0.00004534 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.56681935 +/- 0.0010 Geocenter to KBO 41.58390991 +/- 0.0010 # Hcoef: 6.78
The following table shows the complete astrometric record for 13RO109. 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 (13RO109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.297986 00 05 57.84 -00 40 48.6 23.8g 13RO109 W84 C~35bX 2013 09 11.29851 00 05 57.858 -00 40 48.68 24.1g 13RO109 W84 C~4yQp 2013 10 13.09891 00 03 40.380 -00 55 30.30 22.1z 13RO109 W84 C~4yQp 2013 10 13.12596 00 03 40.272 -00 55 31.04 22.6i 13RO109 W84 C~4yQp 2013 11 08.14071 00 02 07.781 -01 04 58.42 23.1r 13RO109 W84 C~4yQp 2013 11 22.06122 00 01 35.149 -01 08 05.60 23.2r 13RO109 W84 C~4yQp 2013 11 22.08831 00 01 35.104 -01 08 05.69 23.2i 13RO109 W84 C~4yQp 2013 11 23.09553 00 01 33.300 -01 08 15.61 22.9i 13RO109 W84 C~4yQp 2014 11 13.09960 00 06 47.485 -00 33 04.44 22.3z 13RO109 W84 C~4yQp 2016 09 10.32821 00 20 44.832 +00 59 45.58 23.1i 13RO109 W84 C~4yQp 2016 09 10.32957 00 20 44.822 +00 59 45.49 23.0r 13RO109 W84 C~4yQp 2016 09 10.33095 00 20 44.834 +00 59 45.58 23.9g 13RO109 W84 C~4yQp 2016 09 11.16744 00 20 41.343 +00 59 22.52 22.1z 13RO109 W84 C~4yQp 2016 10 02.17611 00 19 09.988 +00 49 33.29 22.5i 13RO109 W84 C~4yQp 2016 10 02.17749 00 19 09.983 +00 49 33.34 22.5r 13RO109 W84 C~4yQp 2016 11 18.06482 00 16 17.914 +00 31 51.18 22.3i 13RO109 W84 C~4yQp 2016 11 18.06619 00 16 17.915 +00 31 51.26 22.8r 13RO109 W84 C~4yQp 2016 11 18.06758 00 16 17.913 +00 31 51.24 24.6g 13RO109 W84 C~4yQp 2016 12 04.090139 00 15 49.15 +00 29 14.5 22.5z 13RO109 W84 C~35bX 2016 12 04.09067 00 15 49.157 +00 29 14.31 22.9z 13RO109 W84 C~4yQp 2017 09 27.193241 00 24 28.05 +01 25 25.6 23.0r 13RO109 W84 C~35bX 2017 09 27.19377 00 24 28.047 +01 25 25.58 23.0r 13RO109 W84 C~4yQp 2017 09 27.194606 00 24 28.05 +01 25 25.7 22.5i 13RO109 W84 C~35bX 2017 09 27.19514 00 24 28.047 +01 25 25.63 22.6i 13RO109 W84 C~4yQp 2017 09 27.19652 00 24 28.037 +01 25 25.58 24.4g 13RO109 W84 C~4yQp 2017 10 12.18111 00 23 22.401 +01 18 28.81 23.7g 13RO109 W84 C~4yQp 2017 10 27.16579 00 22 21.261 +01 12 07.28 22.0z 13RO109 W84 C~4yQp 2017 10 29.146169 00 22 13.82 +01 11 21.5 23.2z 13RO109 W84 C~35bX 2017 10 29.14670 00 22 13.818 +01 11 21.47 23.1z 13RO109 W84 C~4yQp 2018 09 17.30205 00 30 07.613 +02 03 33.54 23.2i 13RO109 W84 C~4yQp 2018 10 18.15211 00 27 53.264 +01 49 19.37 22.4z 13RO109 W84 C~4yQp 2018 11 26.07682 00 25 45.387 +01 36 27.01 23.8g 13RO109 W84 C~4yQp
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 -0.30 0.00 0.05
2 0.0000 0.00 0.01 0.00 -0.02
3 0.0871 0.00 -0.02 0.00 0.03
4 0.0871 0.00 0.06 0.00 -0.01
5 0.1584 0.00 0.08 0.00 -0.03
6 0.1965 0.00 0.04 0.00 -0.05
7 0.1966 0.00 0.14 0.00 0.13
8 0.1993 0.00 -0.04 0.00 -0.09
9 1.1713 0.00 0.04 0.00 -0.02
10 2.9980 0.00 0.06 0.00 0.08
11 2.9980 0.00 -0.00 0.00 0.03
12 2.9980 0.00 0.27 0.00 0.16
13 3.0003 0.00 0.03 0.00 -0.13
14 3.0578 0.00 -0.08 0.00 -0.05
15 3.0578 0.00 -0.06 0.00 0.04
16 3.1862 0.00 0.01 0.00 -0.08
17 3.1862 0.00 0.08 0.00 0.02
18 3.1862 0.00 0.10 0.00 0.01
19 3.2301 0.00 -0.13 0.00 0.01
20 3.2301 0.00 -0.02 0.00 -0.17
21 4.0435 0.00 -0.06 0.00 -0.07
22 4.0435 0.00 -0.07 0.00 -0.07
23 4.0435 0.00 0.03 0.00 0.07
24 4.0435 0.00 0.02 0.00 0.02
25 4.0435 0.00 -0.04 0.00 0.01
26 4.0846 0.00 -0.03 0.00 0.26
27 4.1256 0.00 -0.10 0.00 -0.03
28 4.1310 0.00 0.05 0.00 0.06
29 4.1310 0.00 0.05 0.00 0.04
30 5.0158 0.00 0.01 0.00 0.04
31 5.1002 0.00 0.10 0.00 -0.14
32 5.2068 0.00 -0.06 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.
13RO109 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.311 44.311 44.311 ecceobj 0.041 0.041 0.041 incobj 1.523 1.523 1.523 qmin 41.488 41.488 41.486 qmax 46.919 46.922 46.915 amean 44.093 44.093 44.093 amin 43.751 43.752 43.751 amax 44.446 44.454 44.444 emean 0.040 0.040 0.040 emin 0.024 0.024 0.024 emax 0.056 0.056 0.056 imean 1.100 1.100 1.100 imin 0.317 0.317 0.317 imax 1.631 1.631 1.631 excite_mean 0.045 0.045 0.045 fracstop 1.000 1.000 1.000 cjmean 3.100 3.100 3.100 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 196.9 197.1 197.0 kozaiamp 180.0 180.0 180.0