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: 13SH106 # Created Sun Dec 22 02:09:39 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 6.98y # First observation: 2013/09/29 # Last observation: 2020/09/21 # Chi-squared of fit: 9.48 DOF: 44 RMS: 0.11 # Min/Max residuals: -0.26 0.40 # Exact a, adot, b, bdot, g, gdot: 1.708490E-05 2.922989E-02 -3.842921E-06 -6.046523E-03 2.686015E-02 2.481212E-03 # Covariance matrix: 2.8086E-13 -1.3087E-13 -1.8092E-14 1.6891E-14 8.0784E-14 -4.4981E-13 -1.3087E-13 1.1280E-13 1.8509E-14 -1.9915E-14 1.7385E-14 5.3231E-13 -1.8092E-14 1.8509E-14 1.7351E-13 -4.5189E-14 -3.1139E-16 9.9829E-14 1.6891E-14 -1.9915E-14 -4.5189E-14 1.9700E-14 -8.3483E-15 -1.1097E-13 8.0784E-14 1.7385E-14 -3.1139E-16 -8.3483E-15 3.2942E-13 2.2877E-13 -4.4981E-13 5.3231E-13 9.9829E-14 -1.1097E-13 2.2877E-13 2.9684E-12 # lat0 lon0 xBary yBary zBary JD0 -10.405708 10.062762 0.072800 -0.180385 -0.982870 2456564.717338 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 16.23467 +/- 0.011 Argument of Peri: 195.73555 +/- 0.017 Long of Asc Node: 149.71237 +/- 0.001 Inclination: 15.46692 +/- 0.000 Eccentricity: 0.21712923 +/- 0.0001 Semi-Major Axis: 47.95989517 +/- 0.0058 Time of Perihelion: 2451093.6270 +/- 3.7 Perihelion: 37.54640030 +/- 0.0060 Aphelion: 58.37339005 +/- 0.0080 Period (y) 332.1433 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.05036918 +/- 0.0008 Ecliptic Y 6.50406358 +/- 0.0001 Ecliptic Z -6.72451873 +/- 0.0001 Ecliptic XDOT -0.00039143 +/- 0.0000 Ecliptic YDOT 0.00295626 +/- 0.0000 Ecliptic ZDOT -0.00065173 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.21319077 +/- 0.0007 Geocenter to KBO 37.22985887 +/- 0.0008 # Hcoef: 7.76
The following table shows the complete astrometric record for 13SH106. 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 (13SH106) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.21656 00 53 19.96 -05 35 12.5 24.2g 13SH106 W84 C~3clG 2013 09 29.21795 00 53 19.955 -05 35 12.61 23.6r 13SH106 W84 C~4yR3 2013 09 29.21933 00 53 19.945 -05 35 12.66 23.5i 13SH106 W84 C~4yR3 2013 11 08.08585 00 50 19.205 -05 53 23.41 23.4i 13SH106 W84 C~4yR3 2014 10 03.26724 00 59 44.758 -05 16 55.60 23.3i 13SH106 W84 C~4yR3 2014 10 03.30048 00 59 44.570 -05 16 57.14 24.3g 13SH106 W84 C~4yR3 2014 11 15.09217 00 56 35.068 -05 34 52.34 23.1r 13SH106 W84 C~4yR3 2014 11 16.09758 00 56 31.514 -05 35 05.56 23.8r 13SH106 W84 C~4yR3 2014 11 17.03079 00 56 28.274 -05 35 17.03 23.1i 13SH106 W84 C~4yR3 2014 11 17.16716 00 56 27.808 -05 35 18.96 23.1r 13SH106 W84 C~4yR3 2016 08 26.37249 01 15 30.553 -04 13 21.66 23.7r 13SH106 W84 C~4yR3 2016 08 30.36508 01 15 18.387 -04 15 40.76 24.0g 13SH106 W84 C~4yR3 2016 10 23.16247 01 11 25.141 -04 46 10.34 23.6r 13SH106 W84 C~4yR3 2016 10 28.14542 01 11 02.109 -04 48 18.88 23.1i 13SH106 W84 C~4yR3 2016 11 05.13687 01 10 26.757 -04 51 17.72 23.5r 13SH106 W84 C~4yR3 2016 11 05.13826 01 10 26.755 -04 51 17.67 23.7i 13SH106 W84 C~4yR3 2016 11 06.17800 01 10 22.337 -04 51 38.43 22.9z 13SH106 W84 C~4yR3 2017 08 27.33898 01 21 59.810 -03 53 05.33 23.1i 13SH106 W84 C~4yR3 2017 08 27.34036 01 21 59.799 -03 53 05.37 23.4r 13SH106 W84 C~4yR3 2017 08 27.34174 01 21 59.808 -03 53 05.17 24.2g 13SH106 W84 C~4yR3 2017 09 18.27452 01 20 42.009 -04 06 07.77 23.7i 13SH106 W84 C~4yR3 2017 09 18.27590 01 20 41.996 -04 06 08.01 23.5r 13SH106 W84 C~4yR3 2018 11 06.18972 01 23 29.681 -04 09 57.68 23.7r 13SH106 W84 C~4yR3 2020 09 21.412480 01 39 53.890 -03 05 14.44 23.8G 13SH106 G37 C~49wW 2020 09 21.449770 01 39 53.735 -03 05 15.68 13SH106 G37 C~49wW
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 0.00 0.00 0.06
2 0.0000 0.00 0.03 0.00 0.00
3 0.0000 0.00 -0.03 0.00 0.00
4 0.1092 0.00 0.02 0.00 -0.08
5 1.0104 0.00 0.17 0.00 0.40
6 1.0105 0.00 -0.25 0.00 -0.01
7 1.1277 0.00 -0.03 0.00 0.01
8 1.1304 0.00 0.01 0.00 -0.09
9 1.1330 0.00 -0.05 0.00 0.03
10 1.1333 0.00 0.16 0.00 -0.26
11 2.9080 0.00 0.07 0.00 -0.05
12 2.9190 0.00 -0.16 0.00 0.03
13 3.0662 0.00 0.14 0.00 0.10
14 3.0799 0.00 0.09 0.00 -0.04
15 3.1018 0.00 -0.09 0.00 -0.03
16 3.1018 0.00 -0.03 0.00 0.04
17 3.1046 0.00 -0.06 0.00 -0.10
18 3.9100 0.00 0.04 0.00 -0.13
19 3.9100 0.00 -0.06 0.00 -0.12
20 3.9100 0.00 0.13 0.00 0.12
21 3.9700 0.00 0.06 0.00 0.14
22 3.9700 0.00 -0.05 0.00 -0.05
23 5.1033 0.00 0.01 0.00 0.11
24 6.9793 0.00 -0.01 0.00 -0.05
25 6.9794 0.00 -0.01 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.
13SH106 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.299 48.299 48.299 ecceobj 0.223 0.223 0.223 incobj 15.434 15.434 15.434 qmin 36.556 37.072 35.831 qmax 59.928 59.419 60.388 amean 47.795 47.795 47.794 amin 47.206 47.229 47.203 amax 48.482 48.462 48.472 emean 0.207 0.203 0.215 emin 0.172 0.172 0.190 emax 0.236 0.227 0.248 imean 14.468 14.683 14.341 imin 13.873 14.220 13.615 imax 15.130 15.383 14.876 excite_mean 0.325 0.325 0.328 fracstop 1.000 1.000 1.000 cjmean 3.017 3.016 3.014 libcent 0 179.7 179.7 180.1 libamp 0 148.0 148.4 148.5 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 199.4 196.9 202.3 kozaiamp 179.9 180.0 179.9