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: 13RS109 # Created Sun Nov 24 02:09:28 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 40 observations of 40 # Arc: 16.84y # First observation: 2004/11/10 # Last observation: 2021/09/12 # Chi-squared of fit: 15.08 DOF: 74 RMS: 0.11 # Min/Max residuals: -0.26 0.30 # Exact a, adot, b, bdot, g, gdot: 1.584282E-05 2.542222E-02 8.253933E-08 2.126365E-03 2.484452E-02 1.440540E-03 # Covariance matrix: 7.0243E-13 -1.1292E-13 2.8042E-14 -6.9018E-15 -6.5403E-14 -1.6766E-13 -1.1292E-13 2.3196E-14 -6.7631E-15 1.6624E-15 3.3384E-15 4.0165E-14 2.8042E-14 -6.7631E-15 3.5460E-13 -3.0369E-14 -3.3073E-15 -1.3487E-14 -6.9018E-15 1.6624E-15 -3.0369E-14 2.9347E-15 8.5252E-16 3.3183E-15 -6.5403E-14 3.3384E-15 -3.3073E-15 8.5252E-16 2.3502E-13 2.4700E-14 -1.6766E-13 4.0165E-14 -1.3487E-14 3.3183E-15 2.4700E-14 8.0491E-14 # lat0 lon0 xBary yBary zBary JD0 -0.662946 -15.505438 -0.887342 -0.005056 -0.444787 2453319.707763 # Heliocentric elements and errors Epoch: 2453320.5000 = 2004/11/11 Mean Anomaly: 38.14341 +/- 0.018 Argument of Peri: 304.92354 +/- 0.022 Long of Asc Node: 353.47701 +/- 0.000 Inclination: 4.86084 +/- 0.000 Eccentricity: 0.11550152 +/- 0.0000 Semi-Major Axis: 44.48095855 +/- 0.0040 Time of Perihelion: 2441839.5824 +/- 5.5 Perihelion: 39.34334009 +/- 0.0041 Aphelion: 49.61857702 +/- 0.0049 Period (y) 296.6671 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.44457915 +/- 0.0008 Ecliptic Y -10.02196971 +/- 0.0002 Ecliptic Z -0.46569817 +/- 0.0000 Ecliptic XDOT 0.00090334 +/- 0.0000 Ecliptic YDOT 0.00264921 +/- 0.0000 Ecliptic ZDOT 0.00023256 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.70045967 +/- 0.0007 Geocenter to KBO 40.25032820 +/- 0.0008 # Hcoef: 6.95
The following table shows the complete astrometric record for 13RS109. 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 (13RS109) followed by the observatory code and reference code for the source of the astrometry.
2004 11 10.20702 23 03 54.44 -06 42 57.2 22.5R 13RS109 695 C~3cl8 2004 11 11.17677 23 03 52.97 -06 43 04.3 13RS109 695 C~3cl8 2013 09 02.262130 23 54 21.32 -00 10 08.9 23.6g 13RS109 W84 C~39od 2013 09 02.26266 23 54 21.313 -00 10 09.28 24.0g 13RS109 W84 C~4yQq 2013 09 08.18154 23 53 55.795 -00 12 46.59 23.4g 13RS109 W84 C~4yQq 2013 09 08.18154 23 53 55.79 -00 12 46.6 23.5g 13RS109 W84 C~3cl8 2013 09 11.29710 23 53 42.055 -00 14 11.26 23.4g 13RS109 W84 C~4yQq 2013 09 11.29710 23 53 42.06 -00 14 11.3 23.4g 13RS109 W84 C~3cl8 2013 10 13.07413 23 51 21.766 -00 28 44.68 22.5z 13RS109 W84 C~4yQq 2013 10 13.07413 23 51 21.77 -00 28 44.7 22.8z 13RS109 W84 C~3cl8 2013 10 13.08744 23 51 21.698 -00 28 44.88 23.0i 13RS109 W84 C~4yQq 2013 10 13.08744 23 51 21.70 -00 28 44.9 23.2i 13RS109 W84 C~3cl8 2013 10 28.05807 23 50 25.031 -00 34 39.26 23.3r 13RS109 W84 C~4yQq 2013 10 28.05807 23 50 25.03 -00 34 39.3 23.3r 13RS109 W84 C~3cl8 2013 10 28.05946 23 50 25.027 -00 34 39.34 22.8i 13RS109 W84 C~4yQq 2013 10 28.05946 23 50 25.03 -00 34 39.4 22.9i 13RS109 W84 C~3cl8 2013 11 08.13508 23 49 51.141 -00 38 10.53 23.4r 13RS109 W84 C~4yQq 2013 11 08.13508 23 49 51.14 -00 38 10.5 23.7r 13RS109 W84 C~3cl8 2013 11 08.13647 23 49 51.142 -00 38 10.50 22.2i 13RS109 W84 C~4yQq 2013 11 08.13647 23 49 51.15 -00 38 10.5 22.4i 13RS109 W84 C~3cl8 2013 11 08.13929 23 49 51.126 -00 38 10.52 22.5z 13RS109 W84 C~4yQq 2014 10 21.20581 23 55 49.734 +00 08 12.78 22.6r 13RS109 W84 C~4yQq 2014 10 21.20581 23 55 49.73 +00 08 12.8 22.7r 13RS109 W84 C~3cl8 2016 09 22.11486 00 07 47.465 +01 40 55.96 23.2r 13RS109 W84 C~4yQq 2016 09 22.11486 00 07 47.47 +01 40 56.0 23.3r 13RS109 W84 C~3cl8 2016 09 22.11623 00 07 47.439 +01 40 55.84 23.2g 13RS109 W84 C~4yQq 2016 09 22.11623 00 07 47.44 +01 40 55.8 23.7g 13RS109 W84 C~3cl8 2016 12 05.07259 00 03 47.812 +01 15 40.45 22.6z 13RS109 W84 C~4yQq 2016 12 05.07259 00 03 47.81 +01 15 40.4 22.8z 13RS109 W84 C~3cl8 2017 09 27.18691 00 12 21.389 +02 18 17.82 23.0r 13RS109 W84 C~4yQq 2017 09 27.18828 00 12 21.383 +02 18 17.79 23.0i 13RS109 W84 C~4yQq 2017 09 27.18965 00 12 21.381 +02 18 17.84 23.2g 13RS109 W84 C~4yQq 2017 10 11.20422 00 11 19.312 +02 11 49.73 22.5z 13RS109 W84 C~4yQq 2018 09 21.27767 00 17 43.632 +03 00 30.72 22.5z 13RS109 W84 C~4yQq 2019 11 01.38806 00 19 44.03 +03 21 30.4 24.3g 13RS109 T09 C~7bI7 2019 11 01.47820 00 19 43.70 +03 21 28.3 25.0g 13RS109 T09 C~7bI7 2019 11 01.48657 00 19 43.66 +03 21 28.2 24.5g 13RS109 T09 C~7bI7 2021 09 12.332640 00 33 00.347 +05 00 46.07 22.9G 13RS109 G37 C~55NZ 2021 09 12.392900 00 33 00.087 +05 00 44.59 13RS109 G37 C~55NZ 2021 09 12.453500 00 32 59.827 +05 00 43.09 13RS109 G37 C~55NZ
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 0.27
2 0.0027 0.00 -0.10 0.00 0.08
3 8.8106 0.00 0.15 0.00 0.22
4 8.8106 0.00 0.08 0.00 -0.15
5 8.8268 0.00 -0.08 0.00 -0.26
6 8.8268 0.00 -0.00 0.00 -0.25
7 8.8353 0.00 0.23 0.00 0.02
8 8.8353 0.00 0.30 0.00 -0.02
9 8.9223 0.00 0.10 0.00 -0.08
10 8.9223 0.00 0.04 0.00 -0.06
11 8.9223 0.00 -0.11 0.00 0.06
12 8.9223 0.00 -0.14 0.00 0.08
13 8.9633 0.00 -0.05 0.00 -0.07
14 8.9633 0.00 -0.04 0.00 -0.03
15 8.9633 0.00 -0.03 0.00 -0.08
16 8.9633 0.00 0.02 0.00 -0.14
17 8.9936 0.00 -0.04 0.00 -0.02
18 8.9936 0.00 -0.02 0.00 -0.05
19 8.9936 0.00 0.17 0.00 0.00
20 8.9936 0.00 0.05 0.00 0.00
21 8.9937 0.00 -0.08 0.00 0.03
22 9.9439 0.00 -0.10 0.00 -0.01
23 9.9439 0.00 -0.04 0.00 -0.03
24 11.8656 0.00 0.19 0.00 0.06
25 11.8656 0.00 0.12 0.00 0.02
26 11.8656 0.00 -0.17 0.00 -0.11
27 11.8656 0.00 -0.18 0.00 -0.07
28 12.0681 0.00 -0.03 0.00 -0.02
29 12.0681 0.00 -0.00 0.00 0.03
30 12.8788 0.00 -0.04 0.00 -0.03
31 12.8788 0.00 -0.04 0.00 -0.02
32 12.8788 0.00 0.02 0.00 0.07
33 12.9172 0.00 0.04 0.00 0.16
34 13.8619 0.00 -0.09 0.00 0.11
35 14.9738 0.00 0.14 0.00 0.08
36 14.9740 0.00 0.16 0.00 0.06
37 14.9741 0.00 0.02 0.00 0.16
38 16.8381 0.00 -0.04 0.00 -0.00
39 16.8383 0.00 -0.11 0.00 0.02
40 16.8385 0.00 -0.15 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.
13RS109 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.949 44.949 44.948 ecceobj 0.121 0.121 0.121 incobj 4.837 4.837 4.837 qmin 38.823 38.823 38.836 qmax 50.937 50.929 50.960 amean 44.743 44.743 44.743 amin 44.383 44.372 44.379 amax 45.142 45.152 45.151 emean 0.115 0.115 0.115 emin 0.100 0.100 0.100 emax 0.129 0.128 0.129 imean 5.351 5.351 5.351 imin 4.666 4.665 4.665 imax 5.942 5.940 5.948 excite_mean 0.148 0.148 0.148 fracstop 1.000 1.000 1.000 cjmean 3.084 3.084 3.084 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 181.5 181.6 181.5 kozaiamp 180.0 180.0 179.9