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: 13FO28 # Created Fri Nov 22 02:09:23 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 112 observations of 112 # Arc: 17.21y # First observation: 2004/02/18 # Last observation: 2021/05/03 # Chi-squared of fit: 120.93 DOF: 218 RMS: 0.18 # Min/Max residuals: -0.41 0.49 # Exact a, adot, b, bdot, g, gdot: 1.801250E-05 2.941817E-02 6.343121E-07 2.050949E-03 2.667563E-02 3.333978E-03 # Covariance matrix: 4.1770E-13 -6.8813E-14 1.9452E-14 -4.1129E-15 -2.2510E-14 -9.1553E-14 -6.8813E-14 1.3595E-14 -4.2713E-15 8.9633E-16 8.0867E-15 1.9896E-14 1.9452E-14 -4.2713E-15 1.4987E-13 -1.1147E-14 -2.7129E-15 -6.6764E-15 -4.1129E-15 8.9633E-16 -1.1147E-14 9.2998E-16 4.8551E-16 1.4066E-15 -2.2510E-14 8.0867E-15 -2.7129E-15 4.8551E-16 4.3947E-14 1.0074E-14 -9.1553E-14 1.9896E-14 -6.6764E-15 1.4066E-15 1.0074E-14 3.1268E-14 # lat0 lon0 xBary yBary zBary JD0 -8.178694 -175.405185 0.574218 -0.113566 -0.790820 2453053.756653 # Heliocentric elements and errors Epoch: 2453054.5000 = 2004/02/19 Mean Anomaly: 19.62325 +/- 0.002 Argument of Peri: 264.08395 +/- 0.003 Long of Asc Node: 247.95650 +/- 0.000 Inclination: 8.87761 +/- 0.000 Eccentricity: 0.22730570 +/- 0.0000 Semi-Major Axis: 48.20371923 +/- 0.0020 Time of Perihelion: 2446391.2249 +/- 0.8 Perihelion: 37.24673885 +/- 0.0019 Aphelion: 59.16069960 +/- 0.0027 Period (y) 334.6794 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -37.83280463 +/- 0.0003 Ecliptic Y -2.46229949 +/- 0.0000 Ecliptic Z -5.33299084 +/- 0.0000 Ecliptic XDOT -0.00012934 +/- 0.0000 Ecliptic YDOT -0.00304580 +/- 0.0000 Ecliptic ZDOT 0.00015982 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.28602664 +/- 0.0003 Geocenter to KBO 37.48736255 +/- 0.0003 # Hcoef: 6.77
The following table shows the complete astrometric record for 13FO28. 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 (13FO28) followed by the observatory code and reference code for the source of the astrometry.
2004 02 18.25591 12 03 45.24 -09 19 36.0 21.4R 13FO28 I03 C~5BPu 2004 02 18.30390 12 03 45.07 -09 19 34.9 21.3R 13FO28 I03 C~5BPu 2004 02 18.35125 12 03 44.87 -09 19 34.4 21.2R 13FO28 I03 C~5BPu 2010 02 23.537944 12 41 45.891 -12 31 10.52 21.8G 13FO28 F51 C~5BPu 2010 02 26.494225 12 41 34.862 -12 30 21.09 22.2G 13FO28 F51 C~5BPu 2011 04 28.332997 12 43 19.866 -12 31 37.74 21.6G 13FO28 F51 C~5BPu 2011 04 28.347094 12 43 19.830 -12 31 37.27 22.6G 13FO28 F51 C~5BPu 2011 04 28.361332 12 43 19.755 -12 31 36.59 22.0G 13FO28 F51 C~5BPu 2011 04 28.375404 12 43 19.721 -12 31 36.19 22.2G 13FO28 F51 C~5BPu 2012 01 05.623561 12 55 25.587 -13 28 21.35 22.8G 13FO28 F51 C~5BPu 2012 01 05.627719 12 55 25.576 -13 28 21.43 22.8G 13FO28 F51 C~5BPu 2012 01 05.631876 12 55 25.575 -13 28 21.42 22.3G 13FO28 F51 C~5BPu 2012 01 05.636008 12 55 25.590 -13 28 21.34 22.6G 13FO28 F51 C~5BPu 2012 03 16.533230 12 52 54.283 -13 22 19.34 22.5G 13FO28 F51 C~5BPu 2012 04 16.389692 12 50 28.379 -13 07 06.77 22.3G 13FO28 F51 C~5BPu 2012 04 16.402869 12 50 28.328 -13 07 06.52 22.8G 13FO28 F51 C~5BPu 2012 04 16.416106 12 50 28.270 -13 07 05.89 22.5G 13FO28 F51 C~5BPu 2012 04 16.429291 12 50 28.194 -13 07 05.49 22.8G 13FO28 F51 C~5BPu 2013 03 16.26777 12 59 13.916 -13 50 45.16 22.6r 13FO28 807 C~1M7X 2013 03 16.31577 12 59 13.708 -13 50 44.33 13FO28 807 C~1M7X 2013 03 16.37622 12 59 13.434 -13 50 42.95 13FO28 807 C~1M7X 2013 05 09.05654 12 55 09.394 -13 23 41.24 22.8r 13FO28 807 C~1M7X 2013 05 09.07751 12 55 09.322 -13 23 40.59 13FO28 807 C~1M7X 2013 05 10.11561 12 55 05.365 -13 23 08.13 13FO28 807 C~1M7X 2014 01 05.597010 13 07 40.820 -14 22 19.55 23.2G 13FO28 F51 C~5BPu 2014 02 25.563370 13 06 43.756 -14 24 03.30 22.4G 13FO28 F51 C~5BPu 2014 02 25.575997 13 06 43.737 -14 24 03.09 22.3G 13FO28 F51 C~5BPu 2014 02 25.601194 13 06 43.636 -14 24 02.67 22.7G 13FO28 F51 C~5BPu 2014 04 04.478409 13 04 02.189 -14 09 49.02 22.8G 13FO28 F51 C~5BPu 2014 04 28.444725 13 02 10.052 -13 57 19.47 22.7G 13FO28 F51 C~5BPu 2014 04 28.457641 13 02 09.999 -13 57 19.17 22.5G 13FO28 F51 C~5BPu 2014 05 20.324992 13 00 45.329 -13 46 06.08 22.8G 13FO28 F51 C~5BPu 2014 05 20.337939 13 00 45.285 -13 46 05.84 22.5G 13FO28 F51 C~5BPu 2014 05 20.350863 13 00 45.227 -13 46 05.32 22.6G 13FO28 F51 C~5BPu 2014 05 20.363789 13 00 45.206 -13 46 05.04 22.7G 13FO28 F51 C~5BPu 2014 05 28.275119 13 00 21.816 -13 42 27.50 22.2G 13FO28 F51 C~5BPu 2014 05 28.287240 13 00 21.825 -13 42 27.17 22.5G 13FO28 F51 C~5BPu 2014 05 28.299362 13 00 21.767 -13 42 26.84 23.2G 13FO28 F51 C~5BPu 2014 05 28.311468 13 00 21.735 -13 42 26.19 22.4G 13FO28 F51 C~5BPu 2015 01 20.660613 13 13 57.598 -14 51 30.77 22.4G 13FO28 F51 C~5BPu 2015 01 24.641679 13 13 56.881 -14 52 02.99 23.7G 13FO28 F51 C~5BPu 2015 01 26.638642 13 13 55.922 -14 52 15.61 22.6G 13FO28 F51 C~5BPu 2015 03 29.526806 13 10 47.333 -14 39 36.00 22.8G 13FO28 F51 C~5BPu 2016 02 09.636003 13 19 48.514 -15 17 56.62 22.2G 13FO28 F51 C~5BPu 2016 02 09.643973 13 19 48.492 -15 17 56.19 22.5G 13FO28 F51 C~5BPu 2016 02 09.659920 13 19 48.471 -15 17 56.26 22.6G 13FO28 F51 C~5BPu 2016 03 04.535095 13 18 43.644 -15 14 18.16 22.4G 13FO28 F51 C~5BPu 2016 03 04.547479 13 18 43.568 -15 14 18.04 22.4G 13FO28 F51 C~5BPu 2016 03 04.559800 13 18 43.518 -15 14 17.83 23.5G 13FO28 F51 C~5BPu 2016 03 06.472194 13 18 36.536 -15 13 46.67 22.4G 13FO28 F51 C~5BPu 2016 03 06.483171 13 18 36.485 -15 13 46.13 22.8G 13FO28 F51 C~5BPu 2016 03 06.494126 13 18 36.443 -15 13 46.26 22.8G 13FO28 F51 C~5BPu 2016 03 06.505156 13 18 36.417 -15 13 45.62 22.6G 13FO28 F51 C~5BPu 2016 03 14.439883 13 18 05.142 -15 11 17.10 22.3G 13FO28 F51 C~5BPu 2016 03 14.474887 13 18 04.988 -15 11 16.18 22.6G 13FO28 F51 C~5BPu 2016 04 03.437329 13 16 35.010 -15 03 04.63 23.0G 13FO28 F51 C~5BPu 2016 04 03.449689 13 16 34.945 -15 03 04.43 22.1G 13FO28 F51 C~5BPu 2016 04 03.462059 13 16 34.898 -15 03 04.10 22.4G 13FO28 F51 C~5BPu 2016 04 03.474441 13 16 34.834 -15 03 03.69 23.2G 13FO28 F51 C~5BPu 2017 02 02.606082 13 26 04.547 -15 42 26.09 22.9G 13FO28 F51 C~5BPu 2017 02 02.616400 13 26 04.529 -15 42 26.31 22.8G 13FO28 F51 C~5BPu 2017 02 02.626727 13 26 04.493 -15 42 26.31 22.8G 13FO28 F51 C~5BPu 2017 03 21.441576 13 23 48.612 -15 33 54.43 22.6G 13FO28 F51 C~5BPu 2017 04 27.363955 13 20 55.953 -15 16 43.19 22.5G 13FO28 F51 C~5BPu 2017 04 27.374304 13 20 55.868 -15 16 42.90 22.6G 13FO28 F51 C~5BPu 2017 04 27.384642 13 20 55.832 -15 16 42.19 22.5G 13FO28 F51 C~5BPu 2017 04 27.394955 13 20 55.785 -15 16 42.19 22.4G 13FO28 F51 C~5BPu 2017 05 16.320931 13 19 35.858 -15 07 06.09 23.1G 13FO28 F51 C~5BPu 2018 03 17.522586 13 30 16.840 -15 59 39.09 22.7G 13FO28 F51 C~5BPu 2019 01 12.633075 13 38 04.695 -16 25 20.70 22.7G 13FO28 F51 C~5BPu 2019 01 12.638259 13 38 04.727 -16 25 20.53 22.5G 13FO28 F51 C~5BPu 2019 01 12.643470 13 38 04.740 -16 25 20.69 23.0G 13FO28 F51 C~5BPu 2019 01 12.648661 13 38 04.741 -16 25 20.70 22.5G 13FO28 F51 C~5BPu 2019 01 14.646777 13 38 07.428 -16 25 51.59 22.7G 13FO28 F51 C~5BPu 2019 04 06.490569 13 34 57.982 -16 15 25.00 22.4G 13FO28 F51 C~5BPu 2019 04 06.501100 13 34 57.914 -16 15 24.54 22.5G 13FO28 F51 C~5BPu 2019 04 06.511653 13 34 57.882 -16 15 24.54 22.7G 13FO28 F51 C~5BPu 2019 04 08.392461 13 34 48.997 -16 14 34.14 22.9G 13FO28 F51 C~5BPu 2019 05 29.317662 13 31 08.958 -15 50 03.38 22.5G 13FO28 F51 C~5BPu 2019 05 29.329044 13 31 08.906 -15 50 03.04 22.3G 13FO28 F51 C~5BPu 2019 05 29.351808 13 31 08.850 -15 50 02.44 22.8G 13FO28 F51 C~5BPu 2019 05 31.324494 13 31 02.647 -15 49 10.73 22.5G 13FO28 F52 C~5BPu 2020 04 25.405502 13 39 31.875 -16 29 03.64 21.9G 13FO28 F51 C~5BPu 2020 04 27.373875 13 39 22.593 -16 28 05.96 22.9G 13FO28 F51 C~5BPu 2020 04 27.385051 13 39 22.520 -16 28 05.42 22.9G 13FO28 F51 C~5BPu 2020 04 27.396176 13 39 22.479 -16 28 05.31 22.6G 13FO28 F51 C~5BPu 2020 04 27.407316 13 39 22.435 -16 28 04.97 22.3G 13FO28 F51 C~5BPu 2020 05 11.343309 13 38 19.791 -16 21 14.54 23.0G 13FO28 F52 C~5BPu 2020 05 11.354436 13 38 19.760 -16 21 14.26 22.7G 13FO28 F52 C~5BPu 2020 05 11.365566 13 38 19.704 -16 21 13.72 22.2G 13FO28 F52 C~5BPu 2020 05 14.350961 13 38 07.199 -16 19 46.85 22.9G 13FO28 F52 C~5BPu 2020 05 15.305796 13 38 03.292 -16 19 19.02 22.3G 13FO28 F51 C~5BPu 2020 05 15.317356 13 38 03.237 -16 19 18.93 22.6G 13FO28 F51 C~5BPu 2020 05 15.328946 13 38 03.197 -16 19 18.51 23.0G 13FO28 F51 C~5BPu 2020 05 15.340675 13 38 03.167 -16 19 18.15 22.4G 13FO28 F51 C~5BPu 2021 03 18.496792 13 48 30.694 -17 06 42.23 22.9G 13FO28 F51 C~5BPu 2021 03 18.506638 13 48 30.674 -17 06 41.89 23.0G 13FO28 F51 C~5BPu 2021 03 18.507925 13 48 30.648 -17 06 41.60 22.3G 13FO28 F51 C~5BPu 2021 03 18.517743 13 48 30.605 -17 06 41.57 23.1G 13FO28 F51 C~5BPu 2021 03 18.527568 13 48 30.549 -17 06 41.15 22.7G 13FO28 F51 C~5BPu 2021 04 09.431184 13 46 54.413 -16 58 32.54 23.0G 13FO28 F51 C~5BPu 2021 04 09.442168 13 46 54.358 -16 58 32.26 23.6G 13FO28 F51 C~5BPu 2021 04 09.453131 13 46 54.313 -16 58 31.89 23.5G 13FO28 F51 C~5BPu 2021 04 09.464102 13 46 54.260 -16 58 31.84 22.4G 13FO28 F51 C~5BPu 2021 04 15.431171 13 46 25.880 -16 55 53.59 22.4G 13FO28 F51 C~5BPu 2021 04 15.440902 13 46 25.852 -16 55 53.20 22.7G 13FO28 F51 C~5BPu 2021 04 15.450616 13 46 25.801 -16 55 52.78 22.9G 13FO28 F51 C~5BPu 2021 04 15.460310 13 46 25.758 -16 55 52.46 22.4G 13FO28 F51 C~5BPu 2021 05 03.380027 13 45 00.979 -16 47 23.56 23.0G 13FO28 F51 C~5BPu 2021 05 03.391046 13 45 00.938 -16 47 23.53 22.7G 13FO28 F51 C~5BPu 2021 05 03.402063 13 45 00.900 -16 47 23.10 22.5G 13FO28 F51 C~5BPu 2021 05 03.413068 13 45 00.841 -16 47 22.77 22.5G 13FO28 F51 C~5BPu
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 -0.06 0.00 0.16
2 0.0001 0.00 0.28 0.00 0.40
3 0.0003 0.00 0.13 0.00 0.04
4 6.0158 0.00 -0.13 0.00 0.08
5 6.0239 0.00 -0.21 0.00 -0.11
6 7.1898 0.00 -0.41 0.00 -0.21
7 7.1898 0.00 -0.04 0.00 -0.20
8 7.1899 0.00 -0.24 0.00 0.02
9 7.1899 0.00 0.16 0.00 -0.04
10 7.8805 0.00 0.06 0.00 -0.13
11 7.8806 0.00 -0.17 0.00 -0.14
12 7.8806 0.00 -0.25 0.00 -0.06
13 7.8806 0.00 -0.08 0.00 0.09
14 8.0747 0.00 -0.10 0.00 0.03
15 8.1592 0.00 -0.17 0.00 -0.13
16 8.1592 0.00 0.00 0.00 -0.30
17 8.1592 0.00 0.07 0.00 -0.10
18 8.1593 0.00 -0.13 0.00 -0.13
19 9.0733 0.00 0.32 0.00 0.43
20 9.0734 0.00 0.46 0.00 0.11
21 9.0736 0.00 0.43 0.00 0.04
22 9.2205 0.00 0.25 0.00 0.24
23 9.2206 0.00 0.40 0.00 0.24
24 9.2234 0.00 0.06 0.00 0.49
25 9.8818 0.00 0.00 0.00 -0.33
26 10.0214 0.00 -0.26 0.00 -0.06
27 10.0214 0.00 0.10 0.00 -0.02
28 10.0215 0.00 -0.12 0.00 0.05
29 10.1252 0.00 -0.13 0.00 -0.05
30 10.1908 0.00 -0.04 0.00 0.02
31 10.1908 0.00 0.04 0.00 -0.09
32 10.2507 0.00 -0.03 0.00 0.07
33 10.2507 0.00 -0.04 0.00 -0.06
34 10.2508 0.00 -0.27 0.00 0.09
35 10.2508 0.00 0.06 0.00 -0.00
36 10.2725 0.00 -0.36 0.00 -0.37
37 10.2725 0.00 0.27 0.00 -0.36
38 10.2725 0.00 -0.10 0.00 -0.35
39 10.2726 0.00 -0.08 0.00 -0.01
40 10.9224 0.00 0.04 0.00 -0.25
41 10.9333 0.00 0.02 0.00 0.06
42 10.9388 0.00 -0.07 0.00 0.05
43 11.1082 0.00 0.10 0.00 0.23
44 11.9764 0.00 0.00 0.00 -0.01
45 11.9764 0.00 -0.11 0.00 0.40
46 11.9765 0.00 0.01 0.00 0.29
47 12.0418 0.00 0.48 0.00 -0.07
48 12.0419 0.00 0.03 0.00 -0.14
49 12.0419 0.00 -0.04 0.00 -0.13
50 12.0471 0.00 0.04 0.00 -0.22
51 12.0472 0.00 -0.10 0.00 0.14
52 12.0472 0.00 -0.11 0.00 -0.17
53 12.0472 0.00 0.13 0.00 0.28
54 12.0690 0.00 0.15 0.00 -0.39
55 12.0690 0.00 0.07 0.00 -0.19
56 12.1237 0.00 -0.15 0.00 0.13
57 12.1237 0.00 -0.23 0.00 -0.02
58 12.1238 0.00 -0.03 0.00 -0.03
59 12.1238 0.00 -0.09 0.00 0.03
60 12.9592 0.00 0.20 0.00 0.06
61 12.9592 0.00 0.10 0.00 -0.14
62 12.9593 0.00 -0.28 0.00 -0.11
63 13.0874 0.00 0.07 0.00 0.10
64 13.1885 0.00 0.42 0.00 -0.06
65 13.1886 0.00 -0.13 0.00 -0.08
66 13.1886 0.00 0.06 0.00 0.31
67 13.1886 0.00 0.07 0.00 -0.01
68 13.2404 0.00 -0.04 0.00 0.28
69 14.0760 0.00 -0.07 0.00 -0.20
70 14.9004 0.00 -0.32 0.00 -0.17
71 14.9004 0.00 0.05 0.00 0.08
72 14.9004 0.00 0.14 0.00 0.01
73 14.9005 0.00 0.05 0.00 0.08
74 14.9059 0.00 -0.24 0.00 -0.13
75 15.1300 0.00 -0.04 0.00 -0.18
76 15.1300 0.00 -0.30 0.00 -0.00
77 15.1301 0.00 -0.02 0.00 -0.28
78 15.1352 0.00 -0.15 0.00 0.01
79 15.2746 0.00 0.10 0.00 0.14
80 15.2747 0.00 -0.12 0.00 0.18
81 15.2747 0.00 0.17 0.00 0.18
82 15.2801 0.00 0.03 0.00 0.24
83 16.1838 0.00 0.43 0.00 -0.07
84 16.1892 0.00 0.01 0.00 -0.09
85 16.1893 0.00 -0.28 0.00 0.12
86 16.1893 0.00 -0.10 0.00 -0.09
87 16.1893 0.00 0.04 0.00 -0.08
88 16.2275 0.00 -0.21 0.00 -0.27
89 16.2275 0.00 0.05 0.00 -0.32
90 16.2275 0.00 -0.07 0.00 -0.10
91 16.2357 0.00 -0.07 0.00 -0.09
92 16.2383 0.00 -0.01 0.00 0.14
93 16.2384 0.00 -0.11 0.00 -0.10
94 16.2384 0.00 0.01 0.00 -0.01
95 16.2384 0.00 0.29 0.00 0.01
96 17.0794 0.00 0.12 0.00 -0.30
97 17.0794 0.00 0.41 0.00 -0.14
98 17.0794 0.00 0.10 0.00 0.13
99 17.0794 0.00 0.05 0.00 -0.02
100 17.0795 0.00 -0.20 0.00 0.22
101 17.1394 0.00 0.00 0.00 0.05
102 17.1395 0.00 -0.03 0.00 0.05
103 17.1395 0.00 0.08 0.00 0.13
104 17.1395 0.00 0.08 0.00 -0.10
105 17.1559 0.00 -0.29 0.00 -0.11
106 17.1559 0.00 -0.00 0.00 0.01
107 17.1559 0.00 -0.06 0.00 0.17
108 17.1559 0.00 0.01 0.00 0.23
109 17.2050 0.00 -0.19 0.00 0.44
110 17.2050 0.00 -0.03 0.00 0.15
111 17.2051 0.00 0.18 0.00 0.26
112 17.2051 0.00 0.06 0.00 0.27
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.
13FO28 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.540 47.540 47.540 ecceobj 0.218 0.218 0.218 incobj 8.886 8.886 8.886 qmin 36.141 36.147 36.140 qmax 60.189 60.077 60.149 amean 47.797 47.797 47.798 amin 47.260 47.264 47.246 amax 48.434 48.434 48.434 emean 0.210 0.210 0.211 emin 0.177 0.177 0.174 emax 0.244 0.243 0.243 imean 10.957 10.976 10.983 imin 9.598 9.639 9.777 imax 11.928 11.940 11.994 excite_mean 0.284 0.284 0.285 fracstop 1.000 1.000 1.000 cjmean 3.048 3.048 3.047 libcent 0 272.0 271.5 270.5 libamp 0 44.0 44.1 46.1 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 183.6 183.7 186.0 kozaiamp 180.0 180.0 180.0