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: 13SM102 # Created Mon Apr 28 01:09:42 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 40 observations of 40 # Arc: 5.13y # First observation: 2013/09/02 # Last observation: 2018/10/19 # Chi-squared of fit: 17.34 DOF: 74 RMS: 0.12 # Min/Max residuals: -0.27 0.45 # Exact a, adot, b, bdot, g, gdot: 1.569805E-05 2.906680E-02 -1.678476E-06 -4.751893E-03 2.617693E-02 -8.495321E-04 # Covariance matrix: 2.9221E-13 -4.8683E-14 -2.2091E-15 2.1960E-16 1.9036E-13 2.0115E-14 -4.8683E-14 1.2051E-13 1.1173E-14 -2.0294E-14 6.2991E-14 8.7811E-13 -2.2091E-15 1.1173E-14 1.0903E-13 -3.1108E-14 6.2625E-15 9.0056E-14 2.1960E-16 -2.0294E-14 -3.1108E-14 1.5642E-14 -1.5607E-14 -1.6732E-13 1.9036E-13 6.2991E-14 6.2625E-15 -1.5607E-14 2.6165E-13 7.0838E-13 2.0115E-14 8.7811E-13 9.0056E-14 -1.6732E-13 7.0838E-13 7.2691E-12 # lat0 lon0 xBary yBary zBary JD0 -6.687978 9.361696 0.499520 -0.102149 -0.871919 2456537.851688 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 352.97069 +/- 0.014 Argument of Peri: 227.41000 +/- 0.025 Long of Asc Node: 154.05017 +/- 0.001 Inclination: 11.41597 +/- 0.000 Eccentricity: 0.25782726 +/- 0.0001 Semi-Major Axis: 52.40456082 +/- 0.0058 Time of Perihelion: 2459244.0920 +/- 23.4 Perihelion: 38.89323657 +/- 0.0058 Aphelion: 65.91588508 +/- 0.0083 Period (y) 379.3690 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.38336966 +/- 0.0007 Ecliptic Y 5.82482961 +/- 0.0001 Ecliptic Z -4.44912370 +/- 0.0001 Ecliptic XDOT -0.00064489 +/- 0.0000 Ecliptic YDOT 0.00297475 +/- 0.0000 Ecliptic ZDOT -0.00048313 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.07695905 +/- 0.0007 Geocenter to KBO 38.20161873 +/- 0.0007 # Hcoef: 7.22
The following table shows the complete astrometric record for 13SM102. 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 (13SM102) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.35091 00 44 54.957 -02 26 26.95 23.6g 13SM102 W84 C~4yR1 2013 09 28.12146 00 43 05.108 -02 40 48.06 24.0g 13SM102 W84 C~4yR1 2013 10 03.098796 00 42 42.08 -02 43 31.1 23.6g 13SM102 W84 C~35bY 2013 10 04.15735 00 42 37.184 -02 44 05.08 23.2g 13SM102 W84 C~4yR1 2013 10 13.22535 00 41 55.250 -02 48 46.05 23.0i 13SM102 W84 C~4yR1 2013 10 29.05936 00 40 45.906 -02 55 53.51 23.6g 13SM102 W84 C~4yR1 2013 11 23.138576 00 39 20.34 -03 03 03.8 23.5g 13SM102 W84 C~35bY 2013 11 23.13911 00 39 20.342 -03 03 03.78 23.6g 13SM102 W84 C~4yR1 2013 11 23.14048 00 39 20.337 -03 03 03.92 23.0r 13SM102 W84 C~4yR1 2013 11 23.14185 00 39 20.329 -03 03 03.82 22.9i 13SM102 W84 C~4yR1 2014 10 02.30094 00 49 21.918 -02 18 39.00 23.1r 13SM102 W84 C~4yR1 2014 10 28.20281 00 47 24.367 -02 31 16.40 23.4r 13SM102 W84 C~4yR1 2014 11 15.08792 00 46 16.229 -02 37 18.98 22.5i 13SM102 W84 C~4yR1 2014 11 17.053877 00 46 09.87 -02 37 48.0 22.5z 13SM102 W84 C~35bY 2014 11 17.05440 00 46 09.878 -02 37 48.08 22.7z 13SM102 W84 C~4yR1 2014 11 17.06151 00 46 09.850 -02 37 48.25 23.3r 13SM102 W84 C~4yR1 2014 11 28.09979 00 45 39.358 -02 39 49.20 22.2z 13SM102 W84 C~4yR1 2015 12 05.08968 00 51 55.307 -02 16 25.81 22.9r 13SM102 W84 C~4yR1 2016 09 01.38391 01 04 38.826 -01 12 56.61 23.4g 13SM102 W84 C~4yR1 2016 10 23.16797 01 00 53.677 -01 40 30.24 22.9r 13SM102 W84 C~4yR1 2016 10 23.168831 01 00 53.65 -01 40 30.4 23.8g 13SM102 W84 C~35bY 2016 10 23.16935 01 00 53.656 -01 40 30.37 24.1g 13SM102 W84 C~4yR1 2016 10 29.22883 01 00 26.794 -01 43 08.20 22.2i 13SM102 W84 C~4yR1 2016 11 06.20801 00 59 53.439 -01 46 10.86 23.0i 13SM102 W84 C~4yR1 2016 11 07.20069 00 59 49.488 -01 46 31.45 23.2r 13SM102 W84 C~4yR1 2016 11 07.201551 00 59 49.47 -01 46 31.3 23.7g 13SM102 W84 C~35bY 2016 11 07.20207 00 59 49.481 -01 46 31.56 24.2g 13SM102 W84 C~4yR1 2017 08 28.294491 01 11 26.59 -00 46 10.3 23.4r 13SM102 W84 C~35bY 2017 08 28.29502 01 11 26.587 -00 46 10.29 23.4r 13SM102 W84 C~4yR1 2017 08 28.295868 01 11 26.58 -00 46 10.3 23.8g 13SM102 W84 C~35bY 2017 08 28.29639 01 11 26.582 -00 46 10.30 23.7g 13SM102 W84 C~4yR1 2017 08 28.366285 01 11 26.35 -00 46 12.5 22.9i 13SM102 W84 C~35bY 2017 08 28.36681 01 11 26.349 -00 46 12.53 22.8i 13SM102 W84 C~4yR1 2017 09 14.310741 01 10 25.99 -00 55 12.5 23.0z 13SM102 W84 C~35bY 2017 09 14.31127 01 10 25.991 -00 55 12.53 22.8z 13SM102 W84 C~4yR1 2018 09 21.29311 01 16 33.682 -00 34 13.21 22.5z 13SM102 W84 C~4yR1 2018 10 10.27884 01 15 07.772 -00 44 33.74 23.2i 13SM102 W84 C~4yR1 2018 10 10.28021 01 15 07.773 -00 44 33.71 23.0r 13SM102 W84 C~4yR1 2018 10 10.28158 01 15 07.746 -00 44 33.88 23.7g 13SM102 W84 C~4yR1 2018 10 19.15482 01 14 26.082 -00 49 03.36 22.5z 13SM102 W84 C~4yR1
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 0.45 0.00 -0.08
2 0.0706 0.00 -0.19 0.00 -0.04
3 0.0842 0.00 -0.27 0.00 -0.27
4 0.0871 0.00 0.08 0.00 -0.17
5 0.1119 0.00 -0.04 0.00 0.18
6 0.1553 0.00 -0.02 0.00 -0.06
7 0.2239 0.00 0.02 0.00 0.06
8 0.2239 0.00 0.07 0.00 0.09
9 0.2239 0.00 0.05 0.00 -0.04
10 0.2239 0.00 -0.02 0.00 0.07
11 1.0813 0.00 -0.06 0.00 0.13
12 1.1522 0.00 0.06 0.00 -0.01
13 1.2012 0.00 -0.03 0.00 -0.09
14 1.2066 0.00 -0.07 0.00 0.20
15 1.2066 0.00 0.07 0.00 0.13
16 1.2066 0.00 -0.00 0.00 0.06
17 1.2368 0.00 -0.19 0.00 0.12
18 2.2553 0.00 0.05 0.00 -0.03
19 2.9980 0.00 0.05 0.00 -0.12
20 3.1398 0.00 0.24 0.00 0.07
21 3.1398 0.00 -0.10 0.00 -0.07
22 3.1398 0.00 0.02 0.00 -0.02
23 3.1564 0.00 0.18 0.00 -0.22
24 3.1783 0.00 0.07 0.00 0.00
25 3.1810 0.00 0.01 0.00 -0.00
26 3.1810 0.00 -0.21 0.00 0.16
27 3.1810 0.00 -0.01 0.00 -0.09
28 3.9862 0.00 0.09 0.00 -0.00
29 3.9862 0.00 0.07 0.00 0.02
30 3.9862 0.00 0.00 0.00 0.04
31 3.9862 0.00 0.06 0.00 0.05
32 3.9864 0.00 -0.15 0.00 -0.04
33 3.9864 0.00 -0.15 0.00 -0.05
34 4.0327 0.00 -0.02 0.00 0.02
35 4.0327 0.00 0.03 0.00 0.01
36 5.0512 0.00 -0.07 0.00 0.13
37 5.1032 0.00 0.04 0.00 -0.01
38 5.1032 0.00 0.15 0.00 0.07
39 5.1032 0.00 -0.16 0.00 -0.06
40 5.1275 0.00 0.11 0.00 -0.05
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.
13SM102 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 52.790 52.790 52.791 ecceobj 0.263 0.263 0.263 incobj 11.389 11.389 11.389 qmin 38.145 38.135 38.078 qmax 67.238 67.184 67.125 amean 52.328 52.333 52.324 amin 51.803 51.825 51.839 amax 52.953 52.942 52.922 emean 0.257 0.257 0.257 emin 0.245 0.246 0.246 emax 0.270 0.270 0.269 imean 10.529 10.531 10.530 imin 10.055 10.053 10.056 imax 10.971 10.960 10.971 excite_mean 0.315 0.316 0.315 fracstop 1.000 1.000 1.000 cjmean 3.080 3.080 3.080 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 182.6 182.6 182.5 kozaiamp 180.0 180.0 179.9