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: 13UR15 # Created Fri Nov 22 02:09:45 2024 # Orbit generated from Bernstein formalism # Fitting 28 observations of 29 # Arc: 4.29y # First observation: 2013/09/04 # Last observation: 2017/12/20 Preliminary a, adot, b, bdot, g, gdot: 0.001676 0.117564 -0.000789 -0.047637 0.065780 0.000000 # Chi-squared of fit: 7.06 DOF: 50 RMS: 0.09 # Min/Max residuals: -0.25 0.19 # Exact a, adot, b, bdot, g, gdot: 2.950974E-05 1.236588E-01 -1.224441E-05 -5.080986E-02 6.588089E-02 2.225373E-02 # Covariance matrix: 2.0807E-13 -1.5092E-13 -2.0478E-14 7.1200E-14 1.4120E-13 -3.8165E-13 -1.5092E-13 4.3256E-13 5.6137E-14 -1.9452E-13 1.6130E-16 9.9618E-13 -2.0478E-14 5.6137E-14 8.3571E-14 -6.0938E-14 -4.6289E-15 1.4771E-13 7.1200E-14 -1.9452E-13 -6.0938E-14 1.4716E-13 1.6394E-14 -5.1201E-13 1.4120E-13 1.6130E-16 -4.6289E-15 1.6394E-14 2.0743E-13 -1.0895E-13 -3.8165E-13 9.9618E-13 1.4771E-13 -5.1201E-13 -1.0895E-13 2.6353E-12 # lat0 lon0 xBary yBary zBary JD0 -0.550112 18.041463 0.597561 -0.007763 -0.813593 2456539.943968 # Heliocentric elements and errors Epoch: 2456530.5000 = 2013/08/26 Mean Anomaly: 1.99138 +/- 0.000 Argument of Peri: 163.67804 +/- 0.001 Long of Asc Node: 194.63463 +/- 0.000 Inclination: 22.24337 +/- 0.000 Eccentricity: 0.72117278 +/- 0.0000 Semi-Major Axis: 56.25910772 +/- 0.0090 Time of Perihelion: 2455677.9125 +/- 0.0 Perihelion: 15.68657063 +/- 0.0035 Aphelion: 96.83164481 +/- 0.0156 Period (y) 421.9854 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 15.39023139 +/- 0.0001 Ecliptic Y 4.38747694 +/- 0.0000 Ecliptic Z -0.14589249 +/- 0.0000 Ecliptic XDOT -0.00073772 +/- 0.0000 Ecliptic YDOT 0.00516531 +/- 0.0000 Ecliptic ZDOT -0.00212018 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 16.00407638 +/- 0.0001 Geocenter to KBO 15.17890742 +/- 0.0001 # Hcoef: 11.02
The following table shows the complete astrometric record for 13UR15. 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 (13UR15) followed by the observatory code and reference code for the source of the astrometry.
2013 09 04.44319 01 07 23.858 +06 34 04.13 23.2r 13UR15 568 C~2NKU 2013 09 04.51807 01 07 23.357 +06 33 58.59 23.1r 13UR15 568 C~2NKU 2013 10 06.41277 01 02 54.641 +05 49 18.28 23.1r 13UR15 568 C~2NKU 2013 10 06.50014 01 02 53.798 +05 49 10.39 22.7r 13UR15 568 C~2NKU 2013 10 06.50554 01 02 53.734 +05 49 09.67 22.7r 13UR15 568 C~2NKU 2013 10 06.51103 01 02 53.700 +05 49 09.31 22.8r 13UR15 568 C~2NKU 2013 10 06.51584 01 02 53.638 +05 49 08.88 22.8r 13UR15 568 C~2NKU 2013 10 09.54274 01 02 24.887 +05 44 36.01 22.7r 13UR15 568 C~2NKU 2013 10 31.25446 00 59 06.734 +05 13 05.49 23.1r 13UR15 568 C~2Gdq 2013 10 31.29744 00 59 06.364 +05 13 02.07 23.1r 13UR15 568 C~2Gdq 2013 10 31.34016 00 59 05.997 +05 12 58.48 22.8r 13UR15 568 C~2Gdq 2013 11 01.28119 00 58 58.170 +05 11 42.22 23.1r 13UR15 568 C~2NKU 2013 11 01.40856 00 58 57.096 +05 11 32.06 23.1r 13UR15 568 C~2NKU 2013 11 05.44717 00 58 24.619 +05 06 12.37 22.8r 13UR15 568 C~2NKU 2013 11 29.30934 00 56 02.866 +04 40 30.08 23.4r 13UR15 568 C~2NKU 2013 12 04.25882 00 55 46.710 +04 36 40.68 23.5r 13UR15 568 C~2NKU 2013 12 04.31091 00 55 46.554 +04 36 38.23 23.1r 13UR15 568 C~2NKU 2013 12 06.21580 00 55 41.765 +04 35 19.34 23.4r 13UR15 568 C~2NKU 2014 08 22.57598 01 38 26.983 +06 45 07.47 23.3r 13UR15 568 C~2NKU 2014 08 22.59835 01 38 26.920 +06 45 06.28 23.2r 13UR15 568 C~2NKU 2014 08 25.44822 01 38 17.828 +06 42 19.94 24.4u 13UR15 568 C~2NKU 2014 08 28.43873 01 38 06.515 +06 39 16.39 23.3r 13UR15 568 C~2NKU 2014 10 23.34068 01 30 49.795 +05 24 40.90 23.2r 13UR15 568 C~2NKU 2014 10 26.43601 01 30 20.612 +05 20 25.80 22.9r 13UR15 568 C~2NKU 2014 10 27.37934 01 30 11.842 +05 19 09.21 23.1r 13UR15 568 C~2NKV 2014 12 17.23468 01 24 51.988 +04 31 27.96 23.7r 13UR15 568 C~2NKV 2015 01 18.21511 01 25 52.007 +04 31 26.81 23.3r 13UR15 568 C~2NKV 2017 12 20.27216 02 44 39.774 +04 09 20.23 23.5R 13UR15 G37 C~2Ux5 2017 12 20.34855 02 44 39.341 +04 09 19.14 13UR15 G37 C~2Ux5
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 0.01
2 0.0002 -9.01 0.19 -2.28 -0.13
3 0.0875 -4736.75 -0.04 -950.20 0.10
4 0.0878 -4751.40 0.03 -952.68 0.06
5 0.0878 -4752.56 -0.22 -952.98 -0.09
6 0.0878 -4753.17 0.10 -953.12 -0.07
7 0.0878 -4754.19 -0.11 -953.16 0.02
8 0.0961 -5255.33 -0.07 -1041.07 0.01
9 0.1555 -8717.03 -0.05 -1653.08 -0.08
10 0.1557 -8723.46 -0.04 -1654.11 -0.00
11 0.1558 -8729.91 -0.07 -1655.33 -0.11
12 0.1584 -8867.41 -0.02 -1680.86 0.02
13 0.1587 -8886.17 0.15 -1684.09 0.09
14 0.1698 -9458.13 -0.02 -1792.99 -0.04
15 0.2351 -12014.26 -0.04 -2402.85 -0.04
16 0.2486 -12326.68 0.14 -2521.82 0.19
17 0.2488 -12329.79 0.03 -2523.19 -0.00
18 0.2540 -12426.63 -0.03 -2568.52 -0.01
19 0.9641 26155.46 -0.05 -9810.61 0.05
20 0.9641 26154.13 0.08 -9811.37 0.09
21 0.9720 25964.31 -0.06 -9917.07 -0.10
22 0.9801 25736.79 0.02 -10026.55 0.07
23 1.1332 17938.24 0.12 -11778.54 -0.04
24 1.1417 17434.58 -0.25 -11853.06 0.01
25 1.1442 17283.27 0.12 -11875.36 0.02
26 1.2835 11745.82 ( -0.51) -12743.55 ( 0.48)
27 1.3710 12583.00 0.06 -13083.44 -0.00
28 4.2925 83209.07 0.08 -42084.92 -0.09
29 4.2927 83201.38 -0.09 -42083.30 0.06
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.
13UR15 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 56.230 56.263 56.197 ecceobj 0.721 0.722 0.721 incobj 22.237 22.237 22.237 qmin 15.324 15.204 15.305 qmax 107.517 98.629 99.505 amean 57.480 55.413 55.740 amin 54.729 54.162 54.237 amax 62.137 57.061 57.546 emean 0.721 0.717 0.718 emin 0.707 0.702 0.701 emax 0.737 0.729 0.729 imean 22.925 21.996 22.307 imin 21.634 21.139 21.577 imax 25.438 23.725 23.839 excite_mean 0.820 0.809 0.812 fracstop 0.087 0.067 0.061 cjmean 2.293 2.304 2.301 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 202.4 191.2 195.0 kozaiamp 34.0 28.3 30.3