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: 13RX108 # Created Thu Apr 3 01:09:36 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 40 observations of 40 # Arc: 5.12y # First observation: 2013/09/02 # Last observation: 2018/10/18 # Chi-squared of fit: 17.56 DOF: 74 RMS: 0.12 # Min/Max residuals: -0.32 0.32 # Exact a, adot, b, bdot, g, gdot: 1.438278E-05 2.115109E-02 2.211078E-07 9.906659E-04 2.258920E-02 -9.785840E-04 # Covariance matrix: 1.6690E-13 -2.4618E-14 2.7547E-16 5.0063E-16 1.0889E-13 1.4916E-13 -2.4618E-14 1.5932E-13 -2.5145E-15 7.4712E-15 1.4446E-13 1.8799E-12 2.7547E-16 -2.5145E-15 1.0490E-13 -3.1941E-14 -1.8559E-15 -3.2391E-14 5.0063E-16 7.4712E-15 -3.1941E-14 1.5373E-14 7.6892E-15 9.7426E-14 1.0889E-13 1.4446E-13 -1.8559E-15 7.6892E-15 3.1225E-13 1.9730E-12 1.4916E-13 1.8799E-12 -3.2391E-14 9.7426E-14 1.9730E-12 2.4536E-11 # lat0 lon0 xBary yBary zBary JD0 -4.174802 15.265237 0.587049 -0.059744 -0.819753 2456537.859783 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 279.52344 +/- 0.048 Argument of Peri: 30.13206 +/- 0.051 Long of Asc Node: 71.82768 +/- 0.003 Inclination: 4.86652 +/- 0.000 Eccentricity: 0.06177509 +/- 0.0002 Semi-Major Axis: 45.38606960 +/- 0.0042 Time of Perihelion: 2481504.5137 +/- 19.1 Perihelion: 42.58234118 +/- 0.0114 Aphelion: 48.18979802 +/- 0.0116 Period (y) 305.7680 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.54078488 +/- 0.0011 Ecliptic Y 11.27770767 +/- 0.0003 Ecliptic Z -3.22276770 +/- 0.0001 Ecliptic XDOT -0.00078682 +/- 0.0000 Ecliptic YDOT 0.00244316 +/- 0.0000 Ecliptic ZDOT 0.00012852 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.09297617 +/- 0.0010 Geocenter to KBO 44.26900843 +/- 0.0011 # Hcoef: 6.32
The following table shows the complete astrometric record for 13RX108. 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 (13RX108) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.359005 01 02 40.43 +02 09 29.7 23.8g 13RX108 W84 C~352C 2013 09 02.35953 01 02 40.425 +02 09 29.77 23.5g 13RX108 W84 C~4yQn 2013 09 09.30758 01 02 16.861 +02 06 44.34 23.5g 13RX108 W84 C~4yQn 2013 09 10.352130 01 02 13.08 +02 06 18.8 23.7g 13RX108 W84 C~352C 2013 09 10.35837 01 02 13.073 +02 06 18.32 23.5g 13RX108 W84 C~4yQn 2013 09 10.35978 01 02 13.068 +02 06 18.19 22.6r 13RX108 W84 C~4yQn 2013 09 10.36117 01 02 13.070 +02 06 18.22 22.7i 13RX108 W84 C~4yQn 2013 10 13.20726 01 00 00.189 +01 52 11.25 22.5i 13RX108 W84 C~4yQn 2013 10 13.20863 01 00 00.187 +01 52 11.29 22.3z 13RX108 W84 C~4yQn 2013 10 29.04910 00 58 54.988 +01 45 56.98 24.1g 13RX108 W84 C~4yQn 2013 11 08.17829 00 58 16.816 +01 42 33.22 22.2r 13RX108 W84 C~4yQn 2013 11 08.19267 00 58 16.761 +01 42 32.96 22.4i 13RX108 W84 C~4yQn 2014 10 02.294954 01 05 12.01 +02 28 10.2 22.6r 13RX108 W84 C~352C 2014 10 02.29548 01 05 12.012 +02 28 10.17 22.7r 13RX108 W84 C~4yQn 2014 11 14.05174 01 02 20.665 +02 11 59.33 24.2g 13RX108 W84 C~4yQn 2014 11 14.07483 01 02 20.584 +02 11 59.15 23.1r 13RX108 W84 C~4yQn 2014 11 14.07621 01 02 20.571 +02 11 59.01 22.6i 13RX108 W84 C~4yQn 2014 11 18.06930 01 02 07.575 +02 10 56.25 22.8z 13RX108 W84 C~4yQn 2015 10 17.16823 01 08 35.168 +02 53 07.19 22.6r 13RX108 W84 C~4yQn 2015 11 07.12015 01 07 10.217 +02 45 15.00 22.6r 13RX108 W84 C~4yQn 2016 08 26.33375 01 16 12.877 +03 44 55.87 22.9r 13RX108 W84 C~4yQn 2016 08 26.33512 01 16 12.869 +03 44 55.93 22.3i 13RX108 W84 C~4yQn 2016 08 26.33648 01 16 12.879 +03 44 55.77 22.5z 13RX108 W84 C~4yQn 2016 08 31.36239 01 15 58.766 +03 43 13.26 23.8g 13RX108 W84 C~4yQn 2016 10 29.19312 01 12 07.450 +03 19 15.24 22.3i 13RX108 W84 C~4yQn 2016 10 29.19449 01 12 07.441 +03 19 15.20 22.9r 13RX108 W84 C~4yQn 2016 10 29.19587 01 12 07.450 +03 19 15.11 23.9g 13RX108 W84 C~4yQn 2016 11 06.13640 01 11 36.069 +03 16 26.63 22.8z 13RX108 W84 C~4yQn 2016 11 06.17239 01 11 35.933 +03 16 26.00 22.7r 13RX108 W84 C~4yQn 2016 11 06.17378 01 11 35.930 +03 16 25.96 22.1i 13RX108 W84 C~4yQn 2016 11 06.17516 01 11 35.905 +03 16 26.15 23.5g 13RX108 W84 C~4yQn 2016 11 10.12160 01 11 21.196 +03 15 09.63 21.9z 13RX108 W84 C~4yQn 2017 08 22.39609 01 20 48.440 +04 17 08.85 22.7r 13RX108 W84 C~4yQn 2017 08 22.41145 01 20 48.397 +04 17 08.62 22.6i 13RX108 W84 C~4yQn 2017 08 27.37623 01 20 36.096 +04 15 36.23 23.7g 13RX108 W84 C~4yQn 2017 08 28.36967 01 20 33.432 +04 15 16.88 21.2z 13RX108 W84 C~4yQn 2017 08 28.37650 01 20 33.440 +04 15 16.72 22.7r 13RX108 W84 C~4yQn 2017 09 14.32643 01 19 39.534 +04 09 03.77 22.1z 13RX108 W84 C~4yQn 2017 09 18.27755 01 19 24.944 +04 07 28.07 24.0g 13RX108 W84 C~4yQn 2018 10 18.20313 01 21 49.951 +04 26 07.76 22.0z 13RX108 W84 C~4yQn
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 0.04 0.00 0.12
2 0.0000 0.00 -0.01 0.00 0.21
3 0.0190 0.00 0.28 0.00 0.18
4 0.0219 0.00 -0.32 0.00 0.32
5 0.0219 0.00 -0.08 0.00 -0.00
6 0.0219 0.00 -0.08 0.00 -0.10
7 0.0219 0.00 0.03 0.00 -0.03
8 0.1118 0.00 -0.02 0.00 -0.08
9 0.1118 0.00 0.04 0.00 -0.01
10 0.1552 0.00 0.08 0.00 -0.02
11 0.1829 0.00 0.04 0.00 -0.13
12 0.1830 0.00 0.00 0.00 -0.12
13 1.0813 0.00 -0.07 0.00 -0.00
14 1.0813 0.00 -0.01 0.00 -0.02
15 1.1983 0.00 0.05 0.00 -0.25
16 1.1984 0.00 0.02 0.00 -0.04
17 1.1984 0.00 -0.10 0.00 -0.16
18 1.2093 0.00 0.05 0.00 0.01
19 2.1213 0.00 0.14 0.00 0.00
20 2.1787 0.00 -0.08 0.00 -0.10
21 2.9815 0.00 -0.02 0.00 -0.11
22 2.9815 0.00 -0.08 0.00 -0.03
23 2.9815 0.00 0.12 0.00 -0.16
24 2.9952 0.00 0.13 0.00 0.22
25 3.1563 0.00 -0.01 0.00 0.05
26 3.1563 0.00 -0.06 0.00 0.04
27 3.1563 0.00 0.16 0.00 -0.01
28 3.1780 0.00 -0.02 0.00 -0.06
29 3.1781 0.00 0.03 0.00 0.03
30 3.1781 0.00 0.07 0.00 0.02
31 3.1781 0.00 -0.22 0.00 0.24
32 3.1889 0.00 0.21 0.00 -0.00
33 3.9700 0.00 0.11 0.00 -0.02
34 3.9700 0.00 0.01 0.00 0.02
35 3.9836 0.00 -0.13 0.00 -0.01
36 3.9863 0.00 -0.32 0.00 0.08
37 3.9864 0.00 0.08 0.00 0.06
38 4.0328 0.00 -0.01 0.00 -0.06
39 4.0436 0.00 0.01 0.00 0.01
40 5.1248 0.00 0.11 0.00 0.00
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.
13RX108 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.636 45.636 45.636 ecceobj 0.060 0.060 0.060 incobj 4.867 4.867 4.867 qmin 41.655 41.674 41.640 qmax 49.273 49.281 49.281 amean 45.354 45.354 45.354 amin 44.998 44.987 44.990 amax 45.732 45.724 45.739 emean 0.064 0.064 0.064 emin 0.051 0.051 0.051 emax 0.078 0.078 0.078 imean 3.389 3.389 3.389 imin 2.940 2.940 2.940 imax 3.876 3.875 3.876 excite_mean 0.088 0.088 0.088 fracstop 1.000 1.000 1.000 cjmean 3.109 3.109 3.109 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 168.3 168.3 168.3 kozaiamp 180.0 180.0 180.0