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: 13RY108 # Created Fri Nov 22 02:09:29 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 39 observations of 39 # Arc: 5.16y # First observation: 2013/09/10 # Last observation: 2018/11/06 # Chi-squared of fit: 27.05 DOF: 72 RMS: 0.15 # Min/Max residuals: -0.37 0.49 # Exact a, adot, b, bdot, g, gdot: 1.668638E-05 3.032243E-02 4.551674E-07 5.377640E-04 2.868351E-02 -1.357440E-02 # Covariance matrix: 1.2348E-13 -4.3390E-14 2.2264E-16 -7.0503E-16 6.4544E-14 -1.7679E-13 -4.3390E-14 1.6475E-13 -1.2598E-15 2.7823E-15 1.4859E-13 1.0823E-12 2.2264E-16 -1.2598E-15 8.7586E-14 -2.3515E-14 -1.0652E-15 -8.9207E-15 -7.0503E-16 2.7823E-15 -2.3515E-14 1.0798E-14 1.8165E-15 1.9937E-14 6.4544E-14 1.4859E-13 -1.0652E-15 1.8165E-15 3.5378E-13 9.5151E-13 -1.7679E-13 1.0823E-12 -8.9207E-15 1.9937E-14 9.5151E-13 7.6476E-12 # lat0 lon0 xBary yBary zBary JD0 -10.996251 9.435500 0.377158 -0.178160 -0.917403 2456545.830848 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 321.50906 +/- 0.010 Argument of Peri: 4.90116 +/- 0.006 Long of Asc Node: 93.37767 +/- 0.001 Inclination: 10.75766 +/- 0.000 Eccentricity: 0.46398330 +/- 0.0001 Semi-Major Axis: 45.76677248 +/- 0.0077 Time of Perihelion: 2468637.9915 +/- 25.7 Perihelion: 24.53175440 +/- 0.0063 Aphelion: 67.00179057 +/- 0.0122 Period (y) 309.6233 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.74347214 +/- 0.0007 Ecliptic Y 5.39464210 +/- 0.0001 Ecliptic Z -6.64998847 +/- 0.0001 Ecliptic XDOT -0.00172569 +/- 0.0000 Ecliptic YDOT 0.00264706 +/- 0.0000 Ecliptic ZDOT 0.00029767 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.78341074 +/- 0.0007 Geocenter to KBO 34.86353464 +/- 0.0007 # Hcoef: 7.92
The following table shows the complete astrometric record for 13RY108. 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 (13RY108) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.33007 00 51 59.441 -06 22 20.95 24.5g 13RY108 W84 C~4yQn 2013 09 10.330938 00 51 59.43 -06 22 21.1 23.6r 13RY108 W84 C~352C 2013 09 10.33147 00 51 59.432 -06 22 21.08 23.5r 13RY108 W84 C~4yQn 2013 09 10.332326 00 51 59.42 -06 22 21.0 23.3i 13RY108 W84 C~352C 2013 09 10.33286 00 51 59.423 -06 22 21.06 23.3i 13RY108 W84 C~4yQn 2013 09 11.261713 00 51 55.14 -06 22 54.5 23.9g 13RY108 W84 C~352C 2013 09 11.26224 00 51 55.150 -06 22 54.90 23.6g 13RY108 W84 C~4yQn 2013 10 02.265856 00 50 09.99 -06 35 15.6 23.4r 13RY108 W84 C~352C 2013 10 02.26639 00 50 09.994 -06 35 15.64 23.2r 13RY108 W84 C~4yQn 2013 10 04.17197 00 49 59.958 -06 36 17.91 24.5g 13RY108 W84 C~4yQn 2013 10 04.21244 00 49 59.763 -06 36 19.29 23.4r 13RY108 W84 C~4yQn 2013 10 04.21385 00 49 59.748 -06 36 19.25 23.1i 13RY108 W84 C~4yQn 2013 10 13.18536 00 49 12.584 -06 40 54.54 23.3z 13RY108 W84 C~4yQn 2014 10 03.266713 00 56 33.04 -05 52 17.1 22.9i 13RY108 W84 C~352C 2014 10 03.26724 00 56 33.039 -05 52 17.30 23.2i 13RY108 W84 C~4yQn 2014 10 03.299954 00 56 32.85 -05 52 18.4 23.6g 13RY108 W84 C~352C 2014 10 03.30048 00 56 32.855 -05 52 18.57 23.8g 13RY108 W84 C~4yQn 2014 11 16.09473 00 52 58.139 -06 09 06.53 24.0g 13RY108 W84 C~4yQn 2014 11 16.097060 00 52 58.12 -06 09 06.5 23.3r 13RY108 W84 C~352C 2014 11 16.09758 00 52 58.136 -06 09 06.87 22.7r 13RY108 W84 C~4yQn 2014 11 17.03079 00 52 54.536 -06 09 15.15 23.1i 13RY108 W84 C~4yQn 2016 10 22.164340 01 08 11.20 -04 31 04.2 23.6g 13RY108 W84 C~352C 2016 10 22.16487 01 08 11.212 -04 31 04.32 24.0g 13RY108 W84 C~4yQn 2016 10 23.16247 01 08 05.847 -04 31 31.15 23.5r 13RY108 W84 C~4yQn 2016 11 05.13687 01 06 59.320 -04 36 28.09 23.1r 13RY108 W84 C~4yQn 2016 11 05.137731 01 06 59.30 -04 36 28.1 22.9i 13RY108 W84 C~352C 2016 11 05.13826 01 06 59.305 -04 36 28.15 23.4i 13RY108 W84 C~4yQo 2016 11 05.13963 01 06 59.317 -04 36 28.28 23.9g 13RY108 W84 C~4yQo 2016 11 06.17800 01 06 54.300 -04 36 47.41 22.7z 13RY108 W84 C~4yQo 2017 08 22.41973 01 19 57.632 -03 08 14.40 23.3i 13RY108 W84 C~4yQo 2017 08 28.29776 01 19 39.026 -03 11 31.35 23.0r 13RY108 W84 C~4yQo 2017 09 14.30989 01 18 29.847 -03 21 41.93 23.5z 13RY108 W84 C~4yQo 2017 09 18.31251 01 18 10.797 -03 24 09.31 23.3r 13RY108 W84 C~4yQo 2017 09 18.31390 01 18 10.794 -03 24 09.36 23.1i 13RY108 W84 C~4yQo 2017 09 18.35501 01 18 10.560 -03 24 11.00 21.9z 13RY108 W84 C~4yQo 2018 10 19.16034 01 22 35.715 -02 52 06.88 22.3z 13RY108 W84 C~4yQo 2018 11 06.19384 01 20 57.735 -02 59 51.45 22.7r 13RY108 W84 C~4yQo 2018 11 06.19522 01 20 57.717 -02 59 51.41 23.0i 13RY108 W84 C~4yQo 2018 11 06.19658 01 20 57.719 -02 59 51.55 23.2g 13RY108 W84 C~4yQo
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 0.02 0.00 -0.03
2 0.0000 0.00 -0.09 0.00 -0.15
3 0.0000 0.00 -0.02 0.00 -0.11
4 0.0000 0.00 -0.14 0.00 0.00
5 0.0000 0.00 -0.06 0.00 -0.04
6 0.0026 0.00 -0.14 0.00 0.49
7 0.0026 0.00 0.04 0.00 0.11
8 0.0601 0.00 0.10 0.00 -0.07
9 0.0601 0.00 0.20 0.00 -0.09
10 0.0653 0.00 -0.23 0.00 -0.07
11 0.0654 0.00 0.10 0.00 -0.14
12 0.0654 0.00 -0.01 0.00 -0.05
13 0.0900 0.00 0.16 0.00 -0.11
14 1.0621 0.00 0.24 0.00 0.19
15 1.0621 0.00 0.27 0.00 0.01
16 1.0622 0.00 0.07 0.00 -0.00
17 1.0622 0.00 0.19 0.00 -0.16
18 1.1821 0.00 -0.10 0.00 0.11
19 1.1821 0.00 -0.24 0.00 0.16
20 1.1821 0.00 0.03 0.00 -0.20
21 1.1847 0.00 -0.16 0.00 0.10
22 3.1152 0.00 -0.05 0.00 0.27
23 3.1152 0.00 0.18 0.00 0.17
24 3.1180 0.00 -0.23 0.00 0.05
25 3.1535 0.00 -0.04 0.00 0.05
26 3.1535 0.00 -0.28 0.00 0.05
27 3.1535 0.00 -0.16 0.00 0.01
28 3.1535 0.00 0.12 0.00 -0.09
29 3.1563 0.00 0.16 0.00 0.11
30 3.9482 0.00 0.01 0.00 -0.18
31 3.9643 0.00 0.13 0.00 -0.06
32 4.0109 0.00 0.12 0.00 -0.11
33 4.0219 0.00 0.03 0.00 -0.03
34 4.0219 0.00 0.09 0.00 -0.03
35 4.0220 0.00 -0.37 0.00 -0.16
36 5.1056 0.00 -0.21 0.00 -0.00
37 5.1550 0.00 0.21 0.00 0.01
38 5.1550 0.00 0.04 0.00 0.08
39 5.1550 0.00 0.18 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.
13RY108 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 45.988 45.987 45.988 ecceobj 0.463 0.463 0.463 incobj 10.763 10.763 10.763 qmin 24.258 24.262 24.258 qmax 70.267 70.225 69.014 amean 46.502 46.439 46.130 amin 45.417 45.416 45.310 amax 47.715 47.755 47.266 emean 0.461 0.463 0.459 emin 0.446 0.448 0.444 emax 0.474 0.473 0.471 imean 10.506 10.242 10.591 imin 9.184 9.184 9.184 imax 11.711 11.988 12.153 excite_mean 0.496 0.497 0.495 fracstop 0.031 0.024 0.026 cjmean 2.814 2.812 2.813 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 30.1 24.4 28.0 kozaiamp 24.3 20.0 22.0