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: 13SO102 # Created Sat Apr 20 01:15:06 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 52 observations of 52 # Arc: 5.06y # First observation: 2013/09/29 # Last observation: 2018/10/21 # Chi-squared of fit: 6.01 DOF: 98 RMS: 0.06 # Min/Max residuals: -0.15 0.18 # Exact a, adot, b, bdot, g, gdot: 1.967967E-05 4.094943E-02 -1.733608E-06 -3.826190E-03 3.319687E-02 -2.277543E-03 # Covariance matrix: 1.9742E-13 -1.4886E-13 -9.9289E-15 1.1504E-14 -2.3590E-14 -5.9784E-13 -1.4886E-13 1.9037E-13 1.3907E-14 -1.7266E-14 1.1395E-13 8.8200E-13 -9.9289E-15 1.3907E-14 9.8356E-14 -3.2458E-14 7.4102E-15 6.9795E-14 1.1504E-14 -1.7266E-14 -3.2458E-14 1.5638E-14 -1.1204E-14 -8.6308E-14 -2.3590E-14 1.1395E-13 7.4102E-15 -1.1204E-14 2.0125E-13 5.4751E-13 -5.9784E-13 8.8200E-13 6.9795E-14 -8.6308E-14 5.4751E-13 4.4131E-12 # lat0 lon0 xBary yBary zBary JD0 -8.513400 22.370546 0.282217 -0.142202 -0.950739 2456564.831848 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 346.77459 +/- 0.009 Argument of Peri: 258.12123 +/- 0.015 Long of Asc Node: 145.28273 +/- 0.001 Inclination: 9.85703 +/- 0.000 Eccentricity: 0.22273140 +/- 0.0000 Semi-Major Axis: 39.49007989 +/- 0.0025 Time of Perihelion: 2459894.4440 +/- 8.7 Perihelion: 30.69439905 +/- 0.0027 Aphelion: 48.28576074 +/- 0.0036 Period (y) 248.1648 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.54509220 +/- 0.0004 Ecliptic Y 11.44634645 +/- 0.0002 Ecliptic Z -4.45956356 +/- 0.0001 Ecliptic XDOT -0.00150651 +/- 0.0000 Ecliptic YDOT 0.00303326 +/- 0.0000 Ecliptic ZDOT -0.00028413 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.07621717 +/- 0.0003 Geocenter to KBO 30.12338570 +/- 0.0004 # Hcoef: 7.58
The following table shows the complete astrometric record for 13SO102. 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 (13SO102) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.33107 01 35 22.86 +00 47 47.0 23.2g 13SO102 W84 C~3coO 2013 09 29.33107 01 35 22.861 +00 47 47.02 23.0g 13SO102 W84 C~4yR1 2013 10 04.17911 01 34 56.055 +00 44 36.26 23.0g 13SO102 W84 C~4yR1 2013 10 04.17911 01 34 56.05 +00 44 36.2 23.0g 13SO102 W84 C~3coO 2014 10 03.32632 01 44 06.845 +01 24 53.99 22.9g 13SO102 W84 C~4yR1 2014 10 03.32632 01 44 06.84 +01 24 54.0 23.0g 13SO102 W84 C~3coO 2014 10 21.27352 01 42 23.24 +01 13 41.8 23.2g 13SO102 W84 C~3coO 2014 10 21.27352 01 42 23.246 +01 13 41.73 22.8g 13SO102 W84 C~4yR1 2014 10 21.27489 01 42 23.233 +01 13 41.65 22.2i 13SO102 W84 C~4yR1 2014 10 21.27489 01 42 23.23 +01 13 41.7 22.5i 13SO102 W84 C~3coO 2014 10 28.22157 01 41 42.406 +01 09 46.02 22.4r 13SO102 W84 C~4yR1 2014 10 28.22157 01 41 42.41 +01 09 46.0 22.5r 13SO102 W84 C~3coO 2014 10 29.25281 01 41 36.392 +01 09 12.67 22.3r 13SO102 W84 C~4yR1 2014 10 29.25281 01 41 36.39 +01 09 12.7 22.3r 13SO102 W84 C~3coO 2014 11 16.15607 01 39 57.68 +01 01 00.8 22.3r 13SO102 W84 C~3coO 2014 11 16.15607 01 39 57.676 +01 01 00.81 22.3r 13SO102 W84 C~4yR1 2014 11 17.13417 01 39 52.73 +01 00 39.3 22.2i 13SO102 W84 C~3coO 2014 11 17.13417 01 39 52.725 +01 00 39.27 22.1i 13SO102 W84 C~4yR1 2014 11 18.08407 01 39 47.981 +01 00 18.93 22.3r 13SO102 W84 C~4yR1 2014 11 18.08407 01 39 47.98 +01 00 18.9 22.4r 13SO102 W84 C~3coO 2014 11 27.11774 01 39 05.917 +00 57 36.95 21.9z 13SO102 W84 C~4yR1 2014 11 27.11774 01 39 05.92 +00 57 36.9 22.3z 13SO102 W84 C~3coO 2015 08 24.414722 01 55 55.35 +02 28 31.1 22.2i 13SO102 W84 C~35bY 2015 08 24.41525 01 55 55.360 +02 28 31.05 22.3i 13SO102 W84 C~4yR1 2015 09 04.31928 01 55 25.502 +02 22 40.52 22.7z 13SO102 W84 C~4yR1 2015 09 04.31928 01 55 25.50 +02 22 40.5 22.7z 13SO102 W84 C~3coO 2015 10 17.21895 01 51 55.903 +01 55 52.56 22.1r 13SO102 W84 C~4yR1 2015 10 17.21895 01 51 55.90 +01 55 52.6 22.2r 13SO102 W84 C~3coO 2015 11 06.19886 01 49 58.44 +01 44 52.4 22.2i 13SO102 W84 C~3coO 2015 11 06.19886 01 49 58.440 +01 44 52.35 22.2i 13SO102 W84 C~4yR1 2015 11 06.20022 01 49 58.43 +01 44 52.3 22.1r 13SO102 W84 C~3coO 2015 11 06.20022 01 49 58.434 +01 44 52.28 22.1r 13SO102 W84 C~4yR1 2016 01 10.05490 01 46 26.82 +01 37 46.4 22.5i 13SO102 W84 C~3coO 2016 01 10.05490 01 46 26.817 +01 37 46.39 22.4i 13SO102 W84 C~4yR1 2016 09 10.30080 02 04 07.17 +02 57 54.9 23.2g 13SO102 W84 C~3coO 2016 09 10.30080 02 04 07.172 +02 57 54.84 23.0g 13SO102 W84 C~4yR1 2016 11 04.21137 01 59 14.27 +02 24 59.5 22.6r 13SO102 W84 C~3coO 2016 11 04.21137 01 59 14.267 +02 24 59.53 22.0r 13SO102 W84 C~4yR1 2016 11 30.14518 01 56 57.41 +02 15 20.9 22.0z 13SO102 W84 C~3coO 2016 11 30.14518 01 56 57.413 +02 15 20.93 21.9z 13SO102 W84 C~4yR1 2017 10 29.239514 02 09 02.75 +03 07 38.6 22.4z 13SO102 W84 C~35bY 2017 10 29.24005 02 09 02.753 +03 07 38.57 22.5z 13SO102 W84 C~4yR1 2017 10 29.242280 02 09 02.73 +03 07 38.5 22.4i 13SO102 W84 C~35bY 2017 10 29.24281 02 09 02.736 +03 07 38.40 22.3i 13SO102 W84 C~4yR1 2017 11 16.181725 02 07 17.87 +02 59 08.8 22.4r 13SO102 W84 C~35bY 2017 11 16.18225 02 07 17.873 +02 59 08.74 22.4r 13SO102 W84 C~4yR1 2017 11 16.183102 02 07 17.86 +02 59 08.7 23.0g 13SO102 W84 C~35bY 2017 11 16.18363 02 07 17.858 +02 59 08.66 22.9g 13SO102 W84 C~4yR1 2017 12 25.09309 02 04 37.448 +02 52 16.83 22.1Y 13SO102 W84 C~4yR1 2018 09 09.28945 02 22 29.515 +04 16 29.71 22.4z 13SO102 W84 C~4yR1 2018 09 09.35718 02 22 29.297 +04 16 27.41 23.1g 13SO102 W84 C~4yR1 2018 10 21.23239 02 19 06.607 +03 51 31.25 21.8z 13SO102 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 -0.03 0.00 -0.03
2 0.0000 0.00 -0.01 0.00 -0.01
3 0.0133 0.00 -0.07 0.00 -0.12
4 0.0133 0.00 0.00 0.00 -0.06
5 1.0103 0.00 -0.07 0.00 0.01
6 1.0103 0.00 0.00 0.00 0.00
7 1.0594 0.00 -0.02 0.00 0.05
8 1.0594 0.00 0.07 0.00 -0.02
9 1.0594 0.00 -0.05 0.00 -0.00
10 1.0594 0.00 -0.00 0.00 -0.05
11 1.0784 0.00 0.08 0.00 0.02
12 1.0784 0.00 0.02 0.00 0.04
13 1.0812 0.00 -0.03 0.00 0.04
14 1.0812 0.00 -0.00 0.00 0.01
15 1.1303 0.00 0.04 0.00 0.08
16 1.1303 0.00 -0.02 0.00 0.09
17 1.1329 0.00 -0.00 0.00 0.05
18 1.1329 0.00 0.07 0.00 0.08
19 1.1355 0.00 0.06 0.00 -0.04
20 1.1355 0.00 0.08 0.00 -0.01
21 1.1603 0.00 0.02 0.00 -0.04
22 1.1603 0.00 -0.03 0.00 0.01
23 1.9003 0.00 -0.15 0.00 0.02
24 1.9003 0.00 0.02 0.00 -0.01
25 1.9302 0.00 0.02 0.00 -0.02
26 1.9302 0.00 0.05 0.00 -0.00
27 2.0476 0.00 -0.00 0.00 0.02
28 2.0476 0.00 0.04 0.00 -0.02
29 2.1023 0.00 -0.05 0.00 -0.01
30 2.1023 0.00 -0.05 0.00 0.04
31 2.1023 0.00 -0.08 0.00 -0.02
32 2.1023 0.00 -0.02 0.00 -0.04
33 2.2799 0.00 0.03 0.00 0.01
34 2.2799 0.00 0.08 0.00 0.02
35 2.9486 0.00 0.18 0.00 -0.08
36 2.9486 0.00 0.15 0.00 -0.02
37 3.0989 0.00 -0.06 0.00 0.08
38 3.0989 0.00 -0.01 0.00 0.05
39 3.1699 0.00 0.13 0.00 -0.00
40 3.1699 0.00 0.09 0.00 -0.03
41 4.0819 0.00 -0.08 0.00 0.04
42 4.0819 0.00 0.01 0.00 0.03
43 4.0819 0.00 -0.13 0.00 0.03
44 4.0819 0.00 0.01 0.00 -0.05
45 4.1310 0.00 -0.07 0.00 0.09
46 4.1310 0.00 0.02 0.00 0.05
47 4.1310 0.00 -0.10 0.00 0.03
48 4.1310 0.00 -0.09 0.00 -0.00
49 4.2375 0.00 -0.07 0.00 -0.05
50 4.9444 0.00 0.02 0.00 0.03
51 4.9446 0.00 0.09 0.00 -0.05
52 5.0593 0.00 0.14 0.00 -0.13
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.
13SO102 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.707 39.706 39.707 ecceobj 0.226 0.226 0.226 incobj 9.841 9.841 9.841 qmin 29.854 29.852 29.854 qmax 49.625 49.629 49.623 amean 39.456 39.456 39.456 amin 38.988 38.985 38.991 amax 40.000 39.989 39.994 emean 0.216 0.216 0.216 emin 0.187 0.188 0.187 emax 0.243 0.243 0.242 imean 8.247 8.247 8.247 imin 7.224 7.224 7.223 imax 9.394 9.391 9.394 excite_mean 0.259 0.259 0.259 fracstop 1.000 1.000 1.000 cjmean 2.976 2.976 2.976 libcent 0 179.9 179.3 180.2 libamp 0 93.2 93.7 92.8 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 171.5 171.4 171.5 kozaiamp 180.0 180.0 180.0