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: 13SS102 # Created Fri Nov 22 02:09:37 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 53 observations of 53 # Arc: 7.91y # First observation: 2013/09/10 # Last observation: 2021/08/08 # Chi-squared of fit: 18.88 DOF: 100 RMS: 0.11 # Min/Max residuals: -0.28 0.36 # Exact a, adot, b, bdot, g, gdot: 1.410810E-05 2.533289E-02 8.543298E-06 1.185498E-02 2.600120E-02 -2.868355E-03 # Covariance matrix: 1.6276E-13 -3.4405E-14 1.7390E-15 -3.9943E-15 1.1253E-13 -5.1773E-14 -3.4405E-14 2.6621E-14 -9.0879E-15 1.0283E-14 3.8351E-15 1.2602E-13 1.7390E-15 -9.0879E-15 7.7416E-14 -2.0311E-14 -1.1622E-14 -5.8703E-14 -3.9943E-15 1.0283E-14 -2.0311E-14 1.0539E-14 9.9330E-15 6.4766E-14 1.1253E-13 3.8351E-15 -1.1622E-14 9.9330E-15 1.8467E-13 1.1726E-13 -5.1773E-14 1.2602E-13 -5.8703E-14 6.4766E-14 1.1726E-13 7.9146E-13 # lat0 lon0 xBary yBary zBary JD0 -8.749811 4.340505 0.292981 -0.146586 -0.953053 2456545.812358 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 333.39477 +/- 0.008 Argument of Peri: 20.04866 +/- 0.012 Long of Asc Node: 21.53682 +/- 0.000 Inclination: 26.37085 +/- 0.000 Eccentricity: 0.19883868 +/- 0.0001 Semi-Major Axis: 47.32627885 +/- 0.0041 Time of Perihelion: 2465335.0345 +/- 14.6 Perihelion: 37.91598387 +/- 0.0042 Aphelion: 56.73657383 +/- 0.0056 Period (y) 325.5830 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.88652207 +/- 0.0006 Ecliptic Y 2.66075276 +/- 0.0000 Ecliptic Z -5.85019986 +/- 0.0001 Ecliptic XDOT -0.00031638 +/- 0.0000 Ecliptic YDOT 0.00265045 +/- 0.0000 Ecliptic ZDOT 0.00127985 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.41410511 +/- 0.0006 Geocenter to KBO 38.45985693 +/- 0.0006 # Hcoef: 6.85
The following table shows the complete astrometric record for 13SS102. 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 (13SS102) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.31158 00 29 51.675 -06 18 16.25 23.2g 13SS102 W84 C~4yR2 2013 09 30.169595 00 28 15.22 -06 26 48.1 22.5r 13SS102 W84 C~35bY 2013 09 30.17012 00 28 15.228 -06 26 48.28 22.6r 13SS102 W84 C~4yR2 2013 09 30.17161 00 28 15.224 -06 26 48.29 22.3i 13SS102 W84 C~4yR2 2013 09 30.17161 00 28 15.22 -06 26 48.3 22.4i 13SS102 W84 C~3clG 2013 10 04.18090 00 27 55.235 -06 28 22.38 22.9r 13SS102 W84 C~4yR2 2013 10 04.18090 00 27 55.24 -06 28 22.4 22.8r 13SS102 W84 C~3clG 2013 11 08.076968 00 25 17.85 -06 37 26.2 23.2r 13SS102 W84 C~35bY 2013 11 08.07750 00 25 17.853 -06 37 26.17 22.2r 13SS102 W84 C~4yR2 2013 11 08.078345 00 25 17.82 -06 37 26.0 22.3i 13SS102 W84 C~35bY 2013 11 08.07887 00 25 17.837 -06 37 26.17 21.9i 13SS102 W84 C~4yR2 2013 11 08.079722 00 25 17.83 -06 37 26.1 22.4z 13SS102 W84 C~35bY 2013 11 08.08025 00 25 17.828 -06 37 26.12 22.3z 13SS102 W84 C~4yR2 2014 11 13.12099 00 29 14.847 -05 26 10.87 22.4i 13SS102 W84 C~4yR2 2014 11 13.12099 00 29 14.85 -05 26 10.9 22.5i 13SS102 W84 C~3clG 2014 11 13.12408 00 29 14.828 -05 26 10.95 22.7r 13SS102 W84 C~4yR2 2014 11 13.12408 00 29 14.83 -05 26 10.9 22.6r 13SS102 W84 C~3clG 2014 11 14.12692 00 29 11.382 -05 26 15.67 23.0r 13SS102 W84 C~4yR2 2014 11 14.12692 00 29 11.38 -05 26 15.7 23.0r 13SS102 W84 C~3clG 2014 11 15.11946 00 29 08.034 -05 26 19.83 22.4z 13SS102 W84 C~4yR2 2014 11 15.11946 00 29 08.03 -05 26 19.8 22.5z 13SS102 W84 C~3clG 2016 09 09.170949 00 42 44.25 -02 39 27.0 23.0z 13SS102 W84 C~35bY 2016 09 09.17148 00 42 44.245 -02 39 27.04 22.6z 13SS102 W84 C~4yR2 2016 09 09.17148 00 42 44.25 -02 39 27.0 23.0z 13SS102 W84 C~3clG 2016 09 09.27364 00 42 43.781 -02 39 29.67 22.8r 13SS102 W84 C~4yR2 2016 09 09.27364 00 42 43.78 -02 39 29.7 22.7r 13SS102 W84 C~3clG 2016 09 09.27503 00 42 43.776 -02 39 29.68 22.3i 13SS102 W84 C~4yR2 2016 09 09.27503 00 42 43.78 -02 39 29.7 22.4i 13SS102 W84 C~3clG 2016 09 09.27641 00 42 43.770 -02 39 29.78 23.8g 13SS102 W84 C~4yR2 2016 09 09.27641 00 42 43.77 -02 39 29.8 23.8g 13SS102 W84 C~3clG 2017 09 18.246505 00 46 20.91 -01 29 26.2 22.2i 13SS102 W84 C~35bY 2017 09 18.24703 00 46 20.916 -01 29 26.18 22.0i 13SS102 W84 C~4yR2 2017 09 18.247882 00 46 20.91 -01 29 26.2 22.5r 13SS102 W84 C~35bY 2017 09 18.24840 00 46 20.908 -01 29 26.21 22.4r 13SS102 W84 C~4yR2 2017 09 18.249259 00 46 20.89 -01 29 26.2 23.4g 13SS102 W84 C~35bY 2017 09 18.24978 00 46 20.898 -01 29 26.02 23.0g 13SS102 W84 C~4yR2 2017 10 20.165787 00 43 42.85 -01 42 00.3 22.3i 13SS102 W84 C~35bY 2017 10 20.16631 00 43 42.846 -01 42 00.34 22.3i 13SS102 W84 C~4yR2 2017 10 20.207766 00 43 42.64 -01 42 01.1 22.3z 13SS102 W84 C~35bY 2017 10 20.20829 00 43 42.637 -01 42 01.11 22.2z 13SS102 W84 C~4yR2 2017 10 27.144618 00 43 09.87 -01 44 11.2 22.1z 13SS102 W84 C~35bY 2017 10 27.14514 00 43 09.866 -01 44 11.22 21.9z 13SS102 W84 C~4yR2 2018 09 14.32489 00 50 59.254 -00 13 30.95 22.3i 13SS102 W84 C~4yR2 2018 10 19.14929 00 48 07.584 -00 27 24.83 22.0z 13SS102 W84 C~4yR2 2018 11 08.17949 00 46 36.165 -00 33 14.10 23.0r 13SS102 W84 C~4yR2 2018 11 08.18087 00 46 36.159 -00 33 14.13 22.5i 13SS102 W84 C~4yR2 2018 11 27.08311 00 45 30.250 -00 35 49.01 23.5g 13SS102 W84 C~4yR2 2019 09 27.32266 00 54 18.63 +00 55 51.1 24.5g 13SS102 T09 C~85Dw 2019 09 27.41716 00 54 18.17 +00 55 48.8 24.0g 13SS102 T09 C~85Dw 2019 09 27.58210 00 54 17.35 +00 55 44.7 24.7g 13SS102 T09 C~85Dw 2021 08 08.538780 01 06 08.834 +03 41 11.93 22.9w 13SS102 F51 C~4xRB 2021 08 08.551133 01 06 08.829 +03 41 11.99 22.8w 13SS102 F51 C~4xRB 2021 08 08.576079 01 06 08.743 +03 41 11.81 23.0w 13SS102 F51 C~4xRB
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 0.36 0.00 -0.15 2 0.0544 0.00 -0.22 0.00 0.17 3 0.0544 0.00 -0.06 0.00 -0.00 4 0.0544 0.00 -0.06 0.00 0.01 5 0.0544 0.00 -0.00 0.00 0.02 6 0.0654 0.00 -0.07 0.00 -0.01 7 0.0654 0.00 -0.14 0.00 0.01 8 0.1609 0.00 0.23 0.00 -0.11 9 0.1609 0.00 0.31 0.00 -0.07 10 0.1609 0.00 -0.14 0.00 0.10 11 0.1609 0.00 0.14 0.00 -0.06 12 0.1609 0.00 0.09 0.00 0.01 13 0.1609 0.00 0.09 0.00 -0.01 14 1.1740 0.00 0.08 0.00 0.01 15 1.1740 0.00 0.04 0.00 0.04 16 1.1740 0.00 -0.05 0.00 0.03 17 1.1740 0.00 -0.08 0.00 -0.02 18 1.1768 0.00 -0.12 0.00 0.02 19 1.1768 0.00 -0.09 0.00 0.05 20 1.1795 0.00 -0.27 0.00 0.06 21 1.1795 0.00 -0.21 0.00 0.03 22 2.9976 0.00 0.01 0.00 0.03 23 2.9976 0.00 0.05 0.00 0.04 24 2.9976 0.00 -0.03 0.00 -0.00 25 2.9978 0.00 -0.02 0.00 -0.07 26 2.9978 0.00 -0.00 0.00 -0.04 27 2.9978 0.00 0.08 0.00 -0.03 28 2.9978 0.00 0.02 0.00 -0.01 29 2.9979 0.00 0.02 0.00 -0.10 30 2.9979 0.00 0.02 0.00 -0.08 31 4.0217 0.00 -0.08 0.00 -0.07 32 4.0217 0.00 0.05 0.00 -0.04 33 4.0217 0.00 0.02 0.00 -0.04 34 4.0217 0.00 0.03 0.00 -0.03 35 4.0217 0.00 -0.18 0.00 -0.00 36 4.0217 0.00 -0.02 0.00 0.19 37 4.1091 0.00 0.08 0.00 -0.00 38 4.1091 0.00 0.06 0.00 -0.03 39 4.1092 0.00 0.03 0.00 0.04 40 4.1092 0.00 0.02 0.00 0.04 41 4.1282 0.00 0.07 0.00 0.01 42 4.1282 0.00 0.05 0.00 -0.00 43 5.0103 0.00 0.08 0.00 0.07 44 5.1056 0.00 0.25 0.00 0.05 45 5.1605 0.00 -0.00 0.00 0.02 46 5.1605 0.00 -0.00 0.00 0.00 47 5.2122 0.00 -0.06 0.00 -0.07 48 6.0452 0.00 -0.28 0.00 0.07 49 6.0455 0.00 -0.05 0.00 0.10 50 6.0459 0.00 0.12 0.00 0.06 51 7.9103 0.00 -0.03 0.00 -0.18 52 7.9103 0.00 0.28 0.00 -0.01 53 7.9104 0.00 -0.23 0.00 0.04
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.
13SS102 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 47.597 47.597 47.597 ecceobj 0.202 0.202 0.202 incobj 26.316 26.316 26.316 qmin 36.758 36.758 36.760 qmax 58.265 58.255 58.271 amean 47.275 47.275 47.275 amin 46.850 46.861 46.852 amax 47.767 47.782 47.766 emean 0.202 0.202 0.202 emin 0.184 0.184 0.184 emax 0.220 0.220 0.220 imean 26.030 26.030 26.030 imin 25.578 25.575 25.583 imax 26.468 26.468 26.463 excite_mean 0.483 0.483 0.483 fracstop 1.000 1.000 1.000 cjmean 2.843 2.843 2.843 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 166.3 166.3 166.3 kozaiamp 180.0 180.0 179.9