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: 15VK167 # Created Sun Dec 22 02:10:34 2024 # Orbit generated from Bernstein formalism # Fitting 38 observations of 39 # Arc: 3.08y # First observation: 2014/11/17 # Last observation: 2017/12/16 Preliminary a, adot, b, bdot, g, gdot: 0.000300 0.030143 -0.000052 -0.006349 0.028232 0.000000 # Chi-squared of fit: 14.29 DOF: 70 RMS: 0.11 # Min/Max residuals: -0.26 0.29 # Exact a, adot, b, bdot, g, gdot: 1.851009E-05 3.099517E-02 -6.072225E-06 -6.524167E-03 2.873429E-02 7.012755E-03 # Covariance matrix: 2.9505E-13 -3.3290E-13 -2.6776E-14 5.1000E-14 -1.2787E-13 -2.6094E-12 -3.3290E-13 5.1153E-13 4.8384E-14 -9.2211E-14 2.3438E-13 4.7173E-12 -2.6776E-14 4.8384E-14 1.6126E-13 -9.1635E-14 2.4595E-14 5.0281E-13 5.1000E-14 -9.2211E-14 -9.1635E-14 7.6427E-14 -4.8457E-14 -9.5867E-13 -1.2787E-13 2.3438E-13 2.4595E-14 -4.8457E-14 2.1600E-13 2.4612E-12 -2.6094E-12 4.7173E-12 5.0281E-13 -9.5867E-13 2.4612E-12 4.9038E-11 # lat0 lon0 xBary yBary zBary JD0 -1.585749 47.850055 -0.113901 -0.027054 -0.982525 2456978.777218 # Heliocentric elements and errors Epoch: 2456970.5000 = 2014/11/09 Mean Anomaly: 41.96229 +/- 0.009 Argument of Peri: 119.63809 +/- 0.020 Long of Asc Node: 220.75898 +/- 0.000 Inclination: 11.99964 +/- 0.000 Eccentricity: 0.26423230 +/- 0.0002 Semi-Major Axis: 42.30966051 +/- 0.0057 Time of Perihelion: 2445253.5540 +/- 1.1 Perihelion: 31.13008151 +/- 0.0104 Aphelion: 53.48923951 +/- 0.0119 Period (y) 275.2121 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 23.91750257 +/- 0.0004 Ecliptic Y 26.59839088 +/- 0.0004 Ecliptic Z -0.96329042 +/- 0.0000 Ecliptic XDOT -0.00175712 +/- 0.0000 Ecliptic YDOT 0.00245934 +/- 0.0000 Ecliptic ZDOT -0.00063978 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.78336562 +/- 0.0004 Geocenter to KBO 34.80162044 +/- 0.0006 # Hcoef: 9.39
The following table shows the complete astrometric record for 15VK167. 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 (15VK167) followed by the observatory code and reference code for the source of the astrometry.
2014 11 17.27644 03 03 23.397 +15 37 44.13 24.5r 15VK167 568 C~2lVi 2014 11 17.38513 03 03 22.802 +15 37 40.82 24.6r 15VK167 568 C~2lVi 2014 11 17.49897 03 03 22.179 +15 37 37.81 25.6r 15VK167 568 C~2lVi 2014 11 19.28749 03 03 12.252 +15 36 50.41 24.8r 15VK167 568 C~2lVi 2014 11 23.39103 03 02 49.684 +15 35 02.85 24.6r 15VK167 568 C~2lVi 2015 08 11.61007 03 15 52.895 +16 14 25.84 25.5w 15VK167 568 C~2lVi 2015 09 06.62757 03 15 53.629 +16 11 31.37 25.1w 15VK167 568 C~2lVi 2015 10 07.45292 03 14 24.611 +16 02 27.67 25.2w 15VK167 568 C~2lVi 2015 10 08.45753 03 14 20.330 +16 02 05.12 25.2w 15VK167 568 C~2lVi 2015 10 08.51654 03 14 20.063 +16 02 03.69 25.1w 15VK167 568 C~2lVi 2015 11 07.36426 03 11 48.302 +15 49 35.25 24.7r 15VK167 568 C~2lVi 2015 11 07.40638 03 11 48.060 +15 49 34.13 24.7r 15VK167 568 C~2lVi 2015 11 07.44859 03 11 47.818 +15 49 33.01 24.8r 15VK167 568 C~2lVi 2015 11 10.53471 03 11 30.550 +15 48 12.12 24.6w 15VK167 568 C~2lVi 2015 12 06.39016 03 09 10.265 +15 37 29.59 24.9w 15VK167 568 C~2lVi 2015 12 13.32462 03 08 36.898 +15 35 00.35 25.0w 15VK167 568 C~2lVi 2015 12 13.38310 03 08 36.631 +15 34 59.21 25.0w 15VK167 568 C~2lVi 2016 01 01.37764 03 07 22.919 +15 29 33.92 25.1w 15VK167 568 C~2lVi 2016 01 07.32440 03 07 06.381 +15 28 21.67 26.1w 15VK167 568 C~2lVi 2016 02 04.30735 03 06 39.320 +15 26 22.61 25.1w 15VK167 568 C~2lVi 2016 02 04.32117 03 06 39.326 +15 26 22.50 25.8w 15VK167 568 C~2lVi 2016 02 04.32803 03 06 39.345 +15 26 22.49 25.4w 15VK167 568 C~2lVi 2016 02 05.26985 03 06 39.969 +15 26 25.14 25.2w 15VK167 568 C~2lVi 2016 02 10.29068 03 06 45.059 +15 26 45.71 25.5w 15VK167 568 C~2lVi 2016 09 07.56206 03 23 05.334 +16 16 37.96 25.2w 15VK167 568 C~2lVi 2016 09 26.62090 03 22 20.639 +16 11 37.61 25.4w 15VK167 568 C~2lVi 2016 10 10.43747 03 21 27.728 +16 06 51.29 25.3w 15VK167 568 C~2lVi 2016 10 10.49616 03 21 27.479 +16 06 49.99 25.2w 15VK167 568 C~2lVi 2016 10 10.51394 03 21 27.394 +16 06 49.57 25.0w 15VK167 568 C~2lVi 2016 11 04.38927 03 19 22.219 +15 56 44.69 25.0w 15VK167 568 C~2lVi 2016 12 24.30148 03 15 06.647 +15 38 10.11 25.4w 15VK167 568 C~2lVi 2017 01 02.40371 03 14 34.946 +15 36 00.80 25.2w 15VK167 568 C~2lVi 2017 01 26.29235 03 13 50.865 +15 33 10.41 25.6w 15VK167 568 C~2lVi 2017 01 26.34976 03 13 50.843 +15 33 10.18 25.5w 15VK167 568 C~2lVi 2017 09 16.63393 03 29 58.433 +16 19 06.61 25.6w 15VK167 568 C~2lVi 2017 09 17.59434 03 29 56.357 +16 18 52.09 25.1w 15VK167 568 C~2lVi 2017 09 23.57295 03 29 41.379 +16 17 14.29 25.0w 15VK167 568 C~2lVi 2017 12 16.35926 03 22 54.924 +15 46 14.52 25.1w 15VK167 568 C~2lVi 2017 12 16.37785 03 22 54.847 +15 46 14.18 24.9w 15VK167 568 C~2lVi
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 ( 0.51)
2 0.0003 -9.18 -0.13 -0.80 0.02
3 0.0006 -18.66 0.19 -1.20 -0.04
4 0.0055 -169.58 0.08 -6.97 0.09
5 0.0167 -512.68 -0.02 -19.79 -0.04
6 0.7319 11013.76 -0.02 -800.05 0.12
7 0.8032 10978.03 -0.19 -971.40 0.29
8 0.8875 9593.84 0.26 -1157.69 -0.00
9 0.8903 9528.22 0.20 -1163.10 0.05
10 0.8905 9524.12 0.07 -1163.46 -0.02
11 0.9722 7211.04 -0.18 -1302.20 -0.12
12 0.9723 7207.37 -0.23 -1302.34 -0.12
13 0.9724 7203.70 -0.26 -1302.49 -0.13
14 0.9809 6941.61 0.02 -1313.67 0.08
15 1.0516 4816.01 0.03 -1386.78 0.04
16 1.0706 4311.29 0.01 -1399.78 0.02
17 1.0708 4307.26 0.14 -1399.83 0.05
18 1.1228 3193.28 -0.13 -1423.05 0.06
19 1.1391 2943.51 -0.07 -1427.32 -0.05
20 1.2157 2534.55 -0.02 -1434.92 -0.02
21 1.2157 2534.60 -0.08 -1435.05 -0.15
22 1.2157 2534.86 0.13 -1435.13 -0.23
23 1.2183 2544.27 0.00 -1435.05 -0.07
24 1.2321 2620.69 0.04 -1435.39 0.00
25 1.8078 17092.35 0.13 -2287.88 0.04
26 1.8599 16388.77 -0.00 -2414.37 -0.20
27 1.8978 15573.68 -0.12 -2495.99 0.10
28 1.8979 15569.86 0.06 -2496.33 0.06
29 1.8980 15568.56 -0.03 -2496.42 0.06
30 1.9661 13659.38 0.12 -2615.39 -0.01
31 2.1027 9794.54 0.01 -2725.65 0.00
32 2.1277 9317.63 -0.08 -2729.22 0.14
33 2.1931 8657.01 0.00 -2724.57 0.08
34 2.1932 8656.64 0.16 -2724.71 -0.09
35 2.8319 22944.11 -0.01 -3643.82 0.03
36 2.8345 22911.17 -0.03 -3650.54 0.13
37 2.8509 22675.23 -0.01 -3692.19 -0.01
38 3.0803 16479.79 -0.08 -4018.71 -0.04
39 3.0804 16478.62 0.06 -4018.75 -0.08
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.
15VK167 quality flag:3 Type: 5:3EE 5:3EE 5:3EE axisobj 42.739 42.757 42.721 ecceobj 0.272 0.272 0.271 incobj 11.965 11.965 11.965 qmin 30.575 30.504 30.569 qmax 54.747 54.738 54.706 amean 42.326 42.326 42.326 amin 41.899 41.905 41.891 amax 42.841 42.846 42.842 emean 0.265 0.266 0.264 emin 0.253 0.254 0.253 emax 0.278 0.278 0.277 imean 12.865 12.797 12.864 imin 12.626 12.542 12.631 imax 13.103 13.080 13.103 excite_mean 0.346 0.346 0.346 fracstop 1.000 1.000 1.000 cjmean 2.941 2.940 2.941 libcent 0 180.3 179.1 180.0 libamp 0 51.9 54.4 52.7 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 95.8 108.2 93.3 kozaiamp 22.3 12.2 24.4