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: 13SO100 # Created Fri Apr 26 01:15:06 2024 # Orbit generated from Bernstein formalism # Fitting 34 observations of 35 # Arc: 4.07y # First observation: 2013/08/04 # Last observation: 2017/08/30 Preliminary a, adot, b, bdot, g, gdot: -0.000087 0.019693 0.000001 0.000841 0.021716 0.000000 # Chi-squared of fit: 11.98 DOF: 62 RMS: 0.10 # Min/Max residuals: -0.27 0.23 # Exact a, adot, b, bdot, g, gdot: 1.387843E-05 1.977792E-02 2.562710E-07 8.466294E-04 2.182537E-02 3.267275E-03 # Covariance matrix: 1.1789E-13 2.8448E-14 -3.6225E-16 2.2923E-15 1.2069E-13 7.1418E-13 2.8448E-14 4.0904E-13 -3.8170E-15 1.7490E-14 3.0045E-13 5.3694E-12 -3.6225E-16 -3.8170E-15 6.1240E-14 -2.2408E-14 -2.7688E-15 -5.3644E-14 2.2923E-15 1.7490E-14 -2.2408E-14 2.7833E-14 1.3710E-14 2.4583E-13 1.2069E-13 3.0045E-13 -2.7688E-15 1.3710E-14 3.6706E-13 4.2259E-12 7.1418E-13 5.3694E-12 -5.3644E-14 2.4583E-13 4.2259E-12 7.5470E-11 # lat0 lon0 xBary yBary zBary JD0 -0.358396 14.333903 0.900265 -0.002924 -0.471932 2456509.006818 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 85.55936 +/- 0.062 Argument of Peri: 249.96026 +/- 0.045 Long of Asc Node: 21.49392 +/- 0.001 Inclination: 2.46369 +/- 0.000 Eccentricity: 0.14153174 +/- 0.0004 Semi-Major Axis: 45.88275963 +/- 0.0059 Time of Perihelion: 2429520.7595 +/- 19.0 Perihelion: 39.38889261 +/- 0.0194 Aphelion: 52.37662664 +/- 0.0199 Period (y) 310.8011 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 45.07093341 +/- 0.0012 Ecliptic Y 10.59083267 +/- 0.0003 Ecliptic Z -0.28654483 +/- 0.0000 Ecliptic XDOT -0.00022272 +/- 0.0000 Ecliptic YDOT 0.00250457 +/- 0.0000 Ecliptic ZDOT 0.00010378 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.29942638 +/- 0.0012 Geocenter to KBO 45.81824334 +/- 0.0013 # Hcoef: 7.55
The following table shows the complete astrometric record for 13SO100. 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 (13SO100) followed by the observatory code and reference code for the source of the astrometry.
2013 08 04.50604 00 53 20.069 +05 19 16.05 24.5r 13SO100 568 C~2NKL 2013 08 05.48147 00 53 18.531 +05 19 06.31 24.3r 13SO100 568 C~2NKL 2013 08 05.52035 00 53 18.489 +05 19 06.23 24.1r 13SO100 568 C~2NKL 2013 08 05.52507 00 53 18.449 +05 19 06.10 23.9r 13SO100 568 C~2NKL 2013 08 05.52988 00 53 18.448 +05 19 05.77 24.5r 13SO100 568 C~2NKL 2013 08 08.46041 00 53 13.412 +05 18 34.75 24.2r 13SO100 568 C~2NKL 2013 08 08.49923 00 53 13.347 +05 18 33.96 24.5r 13SO100 568 C~2NKL 2013 08 31.54522 00 52 14.444 +05 12 28.05 23.7r 13SO100 568 C~2NKL 2013 08 31.58437 00 52 14.309 +05 12 27.27 24.5r 13SO100 568 C~2NKL 2013 08 31.58891 00 52 14.318 +05 12 26.99 24.2r 13SO100 568 C~2NKL 2013 09 01.43103 00 52 11.606 +05 12 10.25 24.2r 13SO100 568 C~2NKM 2013 09 01.46986 00 52 11.468 +05 12 09.40 24.5r 13SO100 568 C~2NKM 2013 09 05.41054 00 51 58.276 +05 10 47.49 23.9r 13SO100 568 C~2NKM 2013 09 05.44934 00 51 58.152 +05 10 46.79 23.9r 13SO100 568 C~2NKM 2013 09 29.33623 00 50 26.551 +05 01 19.47 24.1r 13SO100 568 C~2NKM 2013 09 29.34144 00 50 26.542 +05 01 19.34 24.1r 13SO100 568 C~2NKM 2013 09 29.38034 00 50 26.362 +05 01 18.35 24.1r 13SO100 568 C~2NKM 2013 09 29.42409 00 50 26.187 +05 01 17.37 24.0r 13SO100 568 C~2NKM 2013 10 02.41506 00 50 13.867 +05 00 00.85 24.5r 13SO100 568 C~2NKM 2013 10 04.49793 00 50 05.235 +04 59 07.96 24.2r 13SO100 568 C~2NKM 2013 10 04.50677 00 50 05.203 +04 59 07.57 24.3r 13SO100 568 C~2NKM 2013 10 09.47306 00 49 44.629 +04 57 00.90 25.1r 13SO100 568 C~2NKM 2013 12 05.22570 00 46 40.245 +04 38 21.68 24.0r 13SO100 568 C~2NKM 2014 08 22.60844 00 56 49.741 +05 44 19.08 24.0r 13SO100 568 C~2NKM 2014 08 23.58364 00 56 47.106 +05 44 03.14 22.6r 13SO100 568 C~2NKM 2014 10 23.29942 00 52 58.976 +05 20 41.56 24.3r 13SO100 568 C~2NKM 2014 10 27.26611 00 52 43.437 +05 19 06.54 24.2r 13SO100 568 C~2NKM 2014 11 24.25552 00 51 11.518 +05 09 50.84 24.2r 13SO100 568 C~2NKM 2014 11 25.25172 00 51 09.022 +05 09 36.04 24.1r 13SO100 568 C~2NKM 2014 12 17.31908 00 50 31.755 +05 06 01.21 23.4r 13SO100 568 C~2NKM 2015 01 17.27427 00 50 45.065 +05 07 53.59 24.1r 13SO100 568 C~2NKM 2017 07 23.62323 01 09 48.205 +07 13 39.36 13SO100 568 C~2NKM 2017 08 25.53214 01 08 58.017 +07 08 43.00 24.5w 13SO100 568 C~2NKM 2017 08 30.47385 01 08 44.278 +07 07 20.77 24.4w 13SO100 568 C~2NKM 2017 08 30.52649 01 08 44.115 +07 07 19.53 25.1w 13SO100 568 C~2NKM
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 0.09 0.00 0.07
2 0.0027 -24.95 -0.00 -0.09 -0.07
3 0.0028 -25.56 ( 0.43) 0.08 ( 0.08)
4 0.0028 -26.16 -0.04 0.19 0.19
5 0.0028 -26.30 -0.05 -0.11 -0.11
6 0.0108 -107.66 0.02 0.41 0.23
7 0.0109 -108.86 -0.01 0.05 -0.14
8 0.0740 -1061.75 -0.10 3.44 0.07
9 0.0741 -1063.91 -0.19 3.50 0.11
10 0.0741 -1063.89 0.06 3.19 -0.20
11 0.0765 -1107.73 0.11 3.46 -0.05
12 0.0766 -1109.96 -0.04 3.47 -0.06
13 0.0873 -1323.38 -0.08 4.33 -0.06
14 0.0875 -1325.36 0.13 4.41 -0.02
15 0.1529 -2806.99 0.01 12.28 0.00
16 0.1529 -2807.17 0.18 12.21 -0.07
17 0.1530 -2810.03 -0.06 12.34 0.03
18 0.1531 -2812.82 0.09 12.46 0.10
19 0.1613 -3012.22 -0.07 13.39 -0.27
20 0.1670 -3151.66 -0.06 14.72 0.06
21 0.1670 -3152.25 -0.05 14.55 -0.12
22 0.1806 -3484.85 0.12 17.20 0.10
23 0.3360 -6461.01 -0.07 57.87 0.06
24 1.0489 3468.40 0.14 176.73 -0.18
25 1.0515 3425.95 -0.17 177.20 0.10
26 1.2178 -257.36 -0.00 200.80 0.17
27 1.2286 -508.12 0.05 203.06 0.01
28 1.3053 -1989.26 -0.02 222.94 0.07
29 1.3080 -2029.38 0.01 223.76 0.11
30 1.3684 -2625.96 -0.14 241.78 -0.02
31 1.4532 -2399.04 0.14 268.19 -0.07
32 3.9675 16271.94 0.05 687.90 -0.05
33 4.0576 15463.68 0.00 697.53 0.06
34 4.0711 15242.07 0.07 699.21 0.10
35 4.0712 15239.34 -0.12 698.99 -0.17
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.
13SO100 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.146 46.164 46.129 ecceobj 0.143 0.144 0.142 incobj 2.456 2.456 2.457 qmin 38.758 38.695 38.790 qmax 53.429 53.484 53.340 amean 45.895 45.912 45.878 amin 45.507 45.518 45.492 amax 46.329 46.356 46.313 emean 0.139 0.140 0.138 emin 0.125 0.126 0.124 emax 0.153 0.154 0.152 imean 2.602 2.603 2.603 imin 1.979 1.976 1.978 imax 3.077 3.078 3.079 excite_mean 0.147 0.148 0.146 fracstop 1.000 1.000 1.000 cjmean 3.098 3.098 3.098 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 178.5 178.2 178.3 kozaiamp 180.0 179.9 180.0