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: 11RS # Created Tue Jan 21 02:09:24 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 55 observations of 55 # Arc: 21.47y # First observation: 2003/07/04 # Last observation: 2024/12/22 # Chi-squared of fit: 111.32 DOF: 104 RMS: 0.25 # Min/Max residuals: -1.38 0.55 # Exact a, adot, b, bdot, g, gdot: 2.082172E-05 5.760185E-02 7.209130E-06 1.617786E-02 4.156589E-02 -1.635308E-02 # Covariance matrix: 7.7669E-13 1.3468E-11 -3.0885E-14 -6.6527E-12 1.2475E-10 7.0995E-10 1.3468E-11 1.3036E-07 1.6324E-12 3.2940E-09 4.4095E-08 2.3463E-07 -3.0885E-14 1.6324E-12 7.0161E-13 -2.8773E-11 -1.7351E-10 -1.2181E-09 -6.6527E-12 3.2940E-09 -2.8773E-11 1.0703E-07 -6.8115E-08 -4.8150E-07 1.2475E-10 4.4095E-08 -1.7351E-10 -6.8115E-08 1.7123E-07 1.1449E-06 7.0995E-10 2.3463E-07 -1.2181E-09 -4.8150E-07 1.1449E-06 7.7303E-06 # lat0 lon0 xBary yBary zBary JD0 -4.352484 -24.375854 0.819291 -0.046244 -0.607669 2452825.101674 # Heliocentric elements and errors Epoch: 2452824.5000 = 2003/07/04 Mean Anomaly: 340.54419 +/- 0.034 Argument of Peri: 40.37447 +/- 0.241 Long of Asc Node: 348.41899 +/- 0.248 Inclination: 16.30119 +/- 0.021 Eccentricity: 0.47352259 +/- 0.0000 Semi-Major Axis: 40.30428499 +/- 0.0001 Time of Perihelion: 2457875.4374 +/- 8.7 Perihelion: 21.21929545 +/- 0.0011 Aphelion: 59.38927453 +/- 0.0011 Period (y) 255.8792 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 22.06503160 +/- 0.0000 Ecliptic Y -10.89409669 +/- 0.0003 Ecliptic Z -1.82563057 +/- 0.0001 Ecliptic XDOT 0.00065559 +/- 0.0000 Ecliptic YDOT 0.00386041 +/- 0.0000 Ecliptic ZDOT 0.00114446 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 24.67565791 +/- 0.0003 Geocenter to KBO 24.05836337 +/- 0.0002 # Hcoef: 8.39
The following table shows the complete astrometric record for 11RS. 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 (11RS) followed by the observatory code and reference code for the source of the astrometry.
2003 07 04.600931 22 36 16.55 -13 29 34.9 22.3r 11RS T14 C~71wr 2003 07 04.609523 22 36 16.51 -13 29 35.0 11RS T14 C~71wr 2003 07 05.593751 22 36 13.04 -13 29 54.8 22.3r 11RS T14 C~71wr 2003 07 05.602356 22 36 13.01 -13 29 55.0 22.3r 11RS T14 C~71wr 2003 07 05.610911 22 36 12.99 -13 29 55.0 22.3r 11RS T14 C~71wr 2008 09 06.29889 23 29 15.72 -02 13 44.7 21.9V 11RS G96 C~71wr 2008 09 06.30469 23 29 15.68 -02 13 45.3 21.6V 11RS G96 C~71wr 2008 09 06.31046 23 29 15.54 -02 13 45.9 21.8V 11RS G96 C~71wr 2008 09 06.31615 23 29 15.46 -02 13 46.1 22.0V 11RS G96 C~71wr 2009 01 16.057730 23 24 55.14 -02 20 41.8 22.1r 11RS 645 C~71wr 2009 01 16.058165 23 24 55.15 -02 20 41.8 21.8i 11RS 645 C~71wr 2009 01 16.060653 23 24 55.16 -02 20 41.7 22.6g 11RS 645 C~71wr 2010 09 16.44781 23 54 03.34 +03 01 55.1 21.9w 11RS F51 C~77oC 2010 09 16.45894 23 54 03.25 +03 01 54.7 21.7w 11RS F51 C~77oC 2010 09 16.47003 23 54 03.16 +03 01 54.2 21.5w 11RS F51 C~77oC 2010 10 03.38129 23 51 48.01 +02 50 41.6 21.9w 11RS F51 C~77oC 2010 10 03.39456 23 51 47.91 +02 50 41.0 21.9w 11RS F51 C~77oC 2010 10 03.40914 23 51 47.79 +02 50 40.3 22.0w 11RS F51 C~77oC 2010 10 03.42237 23 51 47.68 +02 50 39.9 22.1w 11RS F51 C~77oC 2010 10 14.29484 23 50 25.67 +02 43 30.3 21.3i 11RS F51 C~77oC 2010 10 14.30641 23 50 25.59 +02 43 29.9 21.3i 11RS F51 C~77oC 2011 09 04.42452 00 09 14.252 +05 55 04.51 22.4w 11RS F51 C~0Y0s 2011 09 04.43949 00 09 14.118 +05 55 03.89 22.2w 11RS F51 C~0Y0s 2011 09 04.46930 00 09 13.886 +05 55 03.16 22.4w 11RS F51 C~0Y0s 2011 09 06.276089 00 09 00.34 +05 54 08.0 22.0V 11RS H21 C~0Y0s 2011 09 06.290836 00 09 00.24 +05 54 07.5 22.0V 11RS H21 C~0Y0s 2011 09 06.306908 00 09 00.12 +05 54 06.7 21.8V 11RS H21 C~0Y0s 2011 09 06.350824 00 08 59.84 +05 54 05.3 11RS 568 C~4qFT 2011 09 06.352075 00 08 59.83 +05 54 05.3 11RS 568 C~4qFT 2011 09 06.353329 00 08 59.83 +05 54 05.3 11RS 568 C~4qFT 2011 09 06.354581 00 08 59.82 +05 54 05.2 11RS 568 C~4qFT 2011 09 06.355834 00 08 59.81 +05 54 05.1 11RS 568 C~4qFT 2011 09 06.357089 00 08 59.80 +05 54 05.2 11RS 568 C~4qFT 2011 09 06.359002 00 08 59.79 +05 54 05.2 11RS 568 C~4qFT 2012 10 04.45957 00 19 07.33 +08 24 42.8 21.2i 11RS F51 C~77oC 2012 10 04.47185 00 19 07.23 +08 24 42.3 21.3i 11RS F51 C~77oC 2012 10 09.33996 00 18 27.63 +08 21 17.8 21.8w 11RS F51 C~77oC 2012 10 09.35406 00 18 27.51 +08 21 17.2 21.7w 11RS F51 C~77oC 2012 10 09.36823 00 18 27.40 +08 21 16.6 21.6w 11RS F51 C~77oC 2012 10 09.38253 00 18 27.29 +08 21 16.0 21.8w 11RS F51 C~77oC 2012 11 04.242556 00 15 21.213 +08 03 35.48 21.8w 11RS F51 c~71wr 2012 11 04.256628 00 15 21.110 +08 03 34.85 22.0w 11RS F51 c~71wr 2012 11 04.27077 00 15 21.02 +08 03 34.5 21.7w 11RS F51 C~77oC 2012 11 04.284896 00 15 20.925 +08 03 34.01 22.1w 11RS F51 c~71wr 2017 07 21.445406 01 41 13.72 +21 55 31.0 21.7z 11RS W84 C~71wr 2017 10 25.205186 01 33 11.87 +22 02 16.4 22.3g 11RS W84 C~71wr 2018 10 15.168825 01 51 46.64 +24 41 22.6 21.3z 11RS W84 C~71wr 2018 11 03.229395 01 48 52.51 +24 29 38.6 11RS W84 C~71wr 2023 11 08.226970 03 20 52.271 +34 46 15.82 22.2G 11RS V00 C~7R6i 2023 11 08.235900 03 20 52.206 +34 46 15.78 22.0G 11RS V00 C~7R6i 2023 11 08.242545 03 20 52.130 +34 46 15.31 22.4G 11RS V00 C~7R6i 2023 11 08.248049 03 20 52.033 +34 46 15.02 21.9G 11RS V00 C~7R6i 2024 12 22.260443 03 33 24.938 +35 48 32.89 21.9w 11RS F51 C~8Wdf 2024 12 22.273309 03 33 24.820 +35 48 32.10 21.8w 11RS F51 C~8Wdf 2024 12 22.298846 03 33 24.617 +35 48 31.04 22.0w 11RS F51 C~8Wdf
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 -0.12
2 0.0000 0.00 0.16 0.00 -0.05
3 0.0027 0.00 -0.17 0.00 -0.02
4 0.0027 0.00 -0.14 0.00 -0.04
5 0.0028 0.00 0.03 0.00 0.14
6 5.1764 0.00 0.46 0.00 0.34
7 5.1765 0.00 0.55 0.00 -0.04
8 5.1765 0.00 -0.86 0.00 -0.42
9 5.1765 0.00 -1.38 0.00 -0.41
10 5.5372 0.00 0.26 0.00 0.03
11 5.5372 0.00 0.36 0.00 0.00
12 5.5372 0.00 0.24 0.00 -0.04
13 7.2029 0.00 -0.02 0.00 0.06
14 7.2029 0.00 -0.01 0.00 0.08
15 7.2029 0.00 0.00 0.00 0.01
16 7.2492 0.00 0.18 0.00 0.05
17 7.2493 0.00 0.27 0.00 -0.02
18 7.2493 0.00 0.21 0.00 -0.13
19 7.2493 0.00 0.15 0.00 0.00
20 7.2791 0.00 -0.04 0.00 -0.05
21 7.2791 0.00 0.03 0.00 -0.01
22 8.1693 0.00 0.11 0.00 0.16
23 8.1693 0.00 -0.19 0.00 -0.01
24 8.1694 0.00 -0.28 0.00 0.15
25 8.1743 0.00 -0.63 0.00 0.31
26 8.1744 0.00 -0.43 0.00 0.26
27 8.1744 0.00 -0.38 0.00 -0.03
28 8.1745 0.00 0.07 0.00 -0.18
29 8.1745 0.00 0.06 0.00 -0.15
30 8.1745 0.00 0.21 0.00 -0.11
31 8.1745 0.00 0.20 0.00 -0.17
32 8.1746 0.00 0.20 0.00 -0.23
33 8.1746 0.00 0.19 0.00 -0.09
34 8.1746 0.00 0.26 0.00 -0.03
35 9.2535 0.00 0.02 0.00 0.08
36 9.2536 0.00 0.06 0.00 0.09
37 9.2669 0.00 0.04 0.00 0.12
38 9.2669 0.00 -0.02 0.00 0.12
39 9.2670 0.00 0.07 0.00 0.12
40 9.2670 0.00 0.19 0.00 0.12
41 9.3378 0.00 0.18 0.00 0.10
42 9.3379 0.00 -0.07 0.00 -0.01
43 9.3379 0.00 -0.12 0.00 0.16
44 9.3379 0.00 -0.25 0.00 0.19
45 14.0475 0.00 0.00 0.00 -0.16
46 14.3097 0.00 -0.12 0.00 -0.02
47 15.2815 0.00 -0.20 0.00 -0.12
48 15.3337 0.00 0.06 0.00 -0.15
49 20.3467 0.00 -0.18 0.00 0.10
50 20.3467 0.00 0.21 0.00 0.24
51 20.3467 0.00 0.08 0.00 -0.10
52 20.3467 0.00 -0.54 0.00 -0.28
53 21.4693 0.00 0.35 0.00 0.11
54 21.4693 0.00 0.11 0.00 -0.11
55 21.4694 0.00 0.09 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.
11RS quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 40.837 40.836 40.837 ecceobj 0.479 0.479 0.479 incobj 16.247 16.247 16.247 qmin 21.041 21.041 19.685 qmax 60.551 60.590 61.208 amean 39.703 40.284 39.375 amin 38.224 39.019 37.104 amax 41.273 41.035 41.254 emean 0.428 0.445 0.470 emin 0.351 0.402 0.422 emax 0.480 0.480 0.507 imean 20.663 19.507 16.423 imin 17.057 17.057 13.701 imax 24.762 22.770 19.922 excite_mean 0.556 0.558 0.550 fracstop 0.126 0.025 0.101 cjmean 2.691 2.692 2.695 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 154.5 60.5 149.8 kozaiamp 103.7 16.5 116.3