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: 13UT22 # Created Fri Apr 26 01:15:35 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 65 observations of 65 # Arc: 5.04y # First observation: 2012/12/07 # Last observation: 2017/12/21 # Chi-squared of fit: 21.73 DOF: 124 RMS: 0.10 # Min/Max residuals: -0.28 0.37 # Exact a, adot, b, bdot, g, gdot: 1.585280E-05 2.649725E-02 -8.307416E-06 -1.376894E-02 2.758005E-02 4.815317E-03 # Covariance matrix: 3.0668E-13 -2.4375E-13 -9.5621E-14 1.1055E-13 -1.6067E-13 -1.4399E-12 -2.4375E-13 2.3874E-13 9.8649E-14 -1.1448E-13 1.4261E-13 1.4912E-12 -9.5621E-14 9.8649E-14 1.3121E-13 -7.0997E-14 6.5752E-14 6.3800E-13 1.1055E-13 -1.1448E-13 -7.0997E-14 6.4125E-14 -7.4404E-14 -7.3955E-13 -1.6067E-13 1.4261E-13 6.5752E-14 -7.4404E-14 1.9718E-13 9.6860E-13 -1.4399E-12 1.4912E-12 6.3800E-13 -7.3955E-13 9.6860E-13 9.6329E-12 # lat0 lon0 xBary yBary zBary JD0 -11.229381 33.447358 -0.655521 -0.142414 -0.717816 2456268.649864 # Heliocentric elements and errors Epoch: 2456268.5000 = 2012/12/07 Mean Anomaly: 42.92999 +/- 0.008 Argument of Peri: 139.77068 +/- 0.016 Long of Asc Node: 194.21653 +/- 0.000 Inclination: 29.31259 +/- 0.000 Eccentricity: 0.21375084 +/- 0.0001 Semi-Major Axis: 42.49253423 +/- 0.0028 Time of Perihelion: 2444203.5449 +/- 2.5 Perihelion: 33.40971922 +/- 0.0048 Aphelion: 51.57534923 +/- 0.0055 Period (y) 276.9983 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.92467393 +/- 0.0005 Ecliptic Y 20.55498012 +/- 0.0003 Ecliptic Z -7.06115933 +/- 0.0001 Ecliptic XDOT -0.00128677 +/- 0.0000 Ecliptic YDOT 0.00230804 +/- 0.0000 Ecliptic ZDOT -0.00143362 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.98439315 +/- 0.0004 Geocenter to KBO 36.25803401 +/- 0.0006 # Hcoef: 7.11
The following table shows the complete astrometric record for 13UT22. 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 (13UT22) followed by the observatory code and reference code for the source of the astrometry.
2012 12 07.149086 02 20 04.59 +02 05 05.1 22.8r 13UT22 W84 C~39oe 2013 10 29.16653 02 29 56.965 +02 07 04.33 23.5g 13UT22 W84 C~4yRJ 2013 10 29.16653 02 29 56.96 +02 07 04.4 24.1g 13UT22 W84 C~3clS 2013 11 08.24029 02 29 05.195 +02 01 40.71 23.4g 13UT22 W84 C~4yRJ 2013 11 08.24029 02 29 05.20 +02 01 40.7 23.5g 13UT22 W84 C~3clS 2013 11 08.24166 02 29 05.189 +02 01 40.70 23.0r 13UT22 W84 C~4yRJ 2013 11 08.24166 02 29 05.19 +02 01 40.7 23.0r 13UT22 W84 C~3clS 2013 11 08.25815 02 29 05.107 +02 01 40.20 22.0i 13UT22 W84 C~4yRJ 2013 11 08.25815 02 29 05.11 +02 01 40.2 22.2i 13UT22 W84 C~3clS 2013 11 13.13651 02 28 40.406 +01 59 18.85 22.3z 13UT22 W84 C~4yRJ 2013 11 13.13651 02 28 40.41 +01 59 18.9 22.5z 13UT22 W84 C~3clS 2013 11 23.21306 02 27 51.316 +01 55 04.04 22.3i 13UT22 W84 C~4yRJ 2013 11 23.21306 02 27 51.32 +01 55 04.0 22.3i 13UT22 W84 C~3clS 2013 11 23.21444 02 27 51.314 +01 55 03.92 22.2z 13UT22 W84 C~4yRJ 2013 11 23.21444 02 27 51.31 +01 55 03.9 22.4z 13UT22 W84 C~3clS 2013 12 01.18708 02 27 15.392 +01 52 21.87 23.8g 13UT22 W84 C~4yRJ 2013 12 01.18708 02 27 15.39 +01 52 21.9 23.9g 13UT22 W84 C~3clS 2013 12 01.18848 02 27 15.376 +01 52 21.91 23.1r 13UT22 W84 C~4yRJ 2013 12 01.18848 02 27 15.38 +01 52 21.9 23.1r 13UT22 W84 C~3clS 2013 12 28.11689 02 25 45.243 +01 48 08.52 24.1g 13UT22 W84 C~4yRJ 2013 12 28.11689 02 25 45.24 +01 48 08.5 24.3g 13UT22 W84 C~3clS 2013 12 28.11827 02 25 45.227 +01 48 08.60 22.8r 13UT22 W84 C~4yRJ 2013 12 28.11827 02 25 45.22 +01 48 08.7 22.5r 13UT22 W84 C~3clS 2013 12 28.11963 02 25 45.224 +01 48 08.63 22.7i 13UT22 W84 C~4yRJ 2013 12 28.11963 02 25 45.22 +01 48 08.6 22.6i 13UT22 W84 C~3clS 2014 09 24.30187 02 39 18.579 +02 14 21.03 23.9g 13UT22 W84 C~4yRJ 2014 09 24.30187 02 39 18.58 +02 14 21.0 24.1g 13UT22 W84 C~3clS 2015 12 15.16097 02 39 38.301 +01 20 32.62 22.5i 13UT22 W84 C~4yRJ 2015 12 15.16097 02 39 38.30 +01 20 32.6 22.5i 13UT22 W84 C~3clS 2016 10 26.30851 02 50 03.046 +01 24 43.82 23.4g 13UT22 W84 C~4yRJ 2016 10 28.226620 02 49 53.40 +01 23 39.2 22.4i 13UT22 W84 C~39oe 2016 10 28.22715 02 49 53.405 +01 23 39.18 22.4i 13UT22 W84 C~4yRJ 2016 10 29.22407 02 49 48.358 +01 23 05.95 22.6r 13UT22 W84 C~4yRJ 2016 10 29.22407 02 49 48.36 +01 23 06.0 22.6r 13UT22 W84 C~3clS 2016 11 10.25462 02 48 46.790 +01 16 55.27 22.3z 13UT22 W84 C~4yRJ 2016 11 10.25462 02 48 46.79 +01 16 55.3 22.5z 13UT22 W84 C~3clS 2016 11 25.13758 02 47 32.512 +01 10 52.08 22.4r 13UT22 W84 C~4yRJ 2016 11 25.13758 02 47 32.51 +01 10 52.1 22.3r 13UT22 W84 C~3clS 2016 11 25.152060 02 47 32.43 +01 10 51.4 23.7g 13UT22 W84 C~39oe 2016 11 25.15258 02 47 32.432 +01 10 51.34 24.1g 13UT22 W84 C~4yRJ 2016 12 21.12610 02 45 45.606 +01 05 31.36 23.0i 13UT22 W84 C~4yRJ 2016 12 21.12610 02 45 45.61 +01 05 31.4 23.1i 13UT22 W84 C~3clS 2016 12 21.12887 02 45 45.592 +01 05 31.50 23.7g 13UT22 W84 C~4yRJ 2017 08 27.407234 02 59 45.44 +01 47 20.5 23.0r 13UT22 W84 C~39oe 2017 08 27.40776 02 59 45.444 +01 47 20.56 23.0r 13UT22 W84 C~4yRJ 2017 09 01.406412 02 59 40.45 +01 44 29.5 20.6i 13UT22 W84 C~39oe 2017 09 18.33217 02 59 06.170 +01 34 06.49 24.2g 13UT22 W84 C~4yRJ 2017 09 24.389352 02 58 47.86 +01 30 13.4 22.7i 13UT22 W84 C~39oe 2017 09 24.38988 02 58 47.865 +01 30 13.47 22.6i 13UT22 W84 C~4yRJ 2017 09 25.32600 02 58 44.783 +01 29 37.28 23.7g 13UT22 W84 C~4yRJ 2017 09 26.323738 02 58 41.41 +01 28 58.6 22.7r 13UT22 W84 C~39oe 2017 09 26.32426 02 58 41.418 +01 28 58.59 22.5r 13UT22 W84 C~4yRJ 2017 11 01.174988 02 56 02.96 +01 07 09.1 22.3z 13UT22 W84 C~39oe 2017 11 01.17552 02 56 02.961 +01 07 09.04 22.3z 13UT22 W84 C~4yRJ 2017 11 01.196053 02 56 02.85 +01 07 08.2 22.5z 13UT22 W84 C~39oe 2017 11 01.19658 02 56 02.850 +01 07 08.25 22.4z 13UT22 W84 C~4yRJ 2017 11 22.167025 02 54 16.30 +00 57 37.3 22.0z 13UT22 W84 C~39oe 2017 12 07.094329 02 53 06.65 +00 53 16.2 24.0g 13UT22 W84 C~39oe 2017 12 07.096678 02 53 06.64 +00 53 16.1 22.9r 13UT22 W84 C~39oe 2017 12 07.101412 02 53 06.63 +00 53 16.1 22.6z 13UT22 W84 C~39oe 2017 12 13.111956 02 52 41.69 +00 52 10.0 23.7g 13UT22 W84 C~39oe 2017 12 21.152222 02 52 12.09 +00 51 18.6 22.9g 13UT22 W84 C~39oe 2017 12 21.154595 02 52 12.08 +00 51 18.5 22.3r 13UT22 W84 C~39oe 2017 12 21.159317 02 52 12.03 +00 51 18.7 22.1z 13UT22 W84 C~39oe 2017 12 21.161968 02 52 12.03 +00 51 18.7 22.1z 13UT22 W84 C~39oe
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 -0.16 0.00 0.04
2 0.8926 0.00 0.01 0.00 -0.17
3 0.8926 0.00 0.09 0.00 -0.24
4 0.9202 0.00 0.01 0.00 -0.05
5 0.9202 0.00 -0.06 0.00 -0.04
6 0.9202 0.00 -0.05 0.00 -0.01
7 0.9202 0.00 -0.03 0.00 -0.01
8 0.9202 0.00 0.01 0.00 -0.01
9 0.9202 0.00 0.05 0.00 -0.01
10 0.9336 0.00 0.03 0.00 0.03
11 0.9336 0.00 0.09 0.00 0.08
12 0.9612 0.00 -0.05 0.00 0.07
13 0.9612 0.00 0.01 0.00 0.03
14 0.9612 0.00 0.02 0.00 -0.02
15 0.9612 0.00 -0.04 0.00 -0.04
16 0.9830 0.00 0.13 0.00 -0.00
17 0.9830 0.00 0.10 0.00 0.03
18 0.9830 0.00 0.05 0.00 0.05
19 0.9830 0.00 -0.01 0.00 0.06
20 1.0567 0.00 0.09 0.00 -0.06
21 1.0567 0.00 0.14 0.00 -0.04
22 1.0567 0.00 -0.16 0.00 0.15
23 1.0567 0.00 -0.05 0.00 0.05
24 1.0567 0.00 -0.11 0.00 0.05
25 1.0567 0.00 -0.05 0.00 0.08
26 1.7964 0.00 0.04 0.00 -0.01
27 1.7964 0.00 0.02 0.00 0.02
28 3.0199 0.00 -0.11 0.00 -0.06
29 3.0199 0.00 -0.09 0.00 -0.04
30 3.8854 0.00 0.07 0.00 -0.28
31 3.8907 0.00 -0.06 0.00 0.02
32 3.8907 0.00 0.06 0.00 0.02
33 3.8934 0.00 -0.01 0.00 0.09
34 3.8934 0.00 -0.04 0.00 0.04
35 3.9264 0.00 -0.09 0.00 0.00
36 3.9264 0.00 -0.09 0.00 -0.03
37 3.9671 0.00 -0.01 0.00 0.30
38 3.9671 0.00 0.02 0.00 0.28
39 3.9672 0.00 -0.15 0.00 -0.10
40 3.9672 0.00 -0.08 0.00 -0.15
41 4.0383 0.00 0.19 0.00 0.00
42 4.0383 0.00 0.13 0.00 -0.04
43 4.0383 0.00 0.06 0.00 0.11
44 4.7208 0.00 -0.04 0.00 -0.09
45 4.7208 0.00 0.03 0.00 -0.02
46 4.7344 0.00 0.23 0.00 -0.02
47 4.7808 0.00 -0.01 0.00 0.03
48 4.7974 0.00 -0.04 0.00 -0.05
49 4.7974 0.00 0.06 0.00 0.04
50 4.7999 0.00 0.05 0.00 0.05
51 4.8027 0.00 -0.11 0.00 -0.03
52 4.8027 0.00 0.04 0.00 -0.02
53 4.9008 0.00 -0.01 0.00 0.09
54 4.9008 0.00 0.05 0.00 0.05
55 4.9009 0.00 -0.03 0.00 -0.13
56 4.9009 0.00 0.01 0.00 -0.07
57 4.9583 0.00 0.13 0.00 0.10
58 4.9992 0.00 -0.20 0.00 0.02
59 4.9992 0.00 -0.19 0.00 -0.05
60 4.9992 0.00 -0.03 0.00 0.01
61 5.0156 0.00 -0.16 0.00 -0.09
62 5.0377 0.00 0.37 0.00 -0.02
63 5.0377 0.00 0.35 0.00 -0.11
64 5.0377 0.00 -0.16 0.00 0.11
65 5.0377 0.00 -0.02 0.00 0.12
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.
13UT22 quality flag:3 Type: 5:3EE 5:3EE 5:3EE axisobj 42.647 42.647 42.647 ecceobj 0.217 0.217 0.217 incobj 29.264 29.264 29.264 qmin 32.311 32.311 32.311 qmax 52.673 52.673 52.672 amean 42.325 42.325 42.325 amin 41.964 41.964 41.964 amax 42.777 42.777 42.777 emean 0.181 0.181 0.181 emin 0.110 0.110 0.110 emax 0.234 0.234 0.234 imean 29.795 29.795 29.795 imin 28.969 28.969 28.969 imax 30.884 30.884 30.884 excite_mean 0.530 0.530 0.530 fracstop 1.000 1.000 1.000 cjmean 2.733 2.733 2.733 libcent 0 178.9 178.9 178.9 libamp 0 69.6 69.5 69.6 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 178.0 177.9 178.0 kozaiamp 180.0 180.0 180.0