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: 13SM100 # Created Tue Apr 1 01:09:40 2025 # Orbit generated from Bernstein formalism # Fitting 43 observations of 43 # Arc: 4.07y # First observation: 2013/08/05 # Last observation: 2017/08/30 Preliminary a, adot, b, bdot, g, gdot: -0.000071 0.027063 -0.000002 0.000022 0.025606 0.000000 # Chi-squared of fit: 13.99 DOF: 80 RMS: 0.10 # Min/Max residuals: -0.38 0.27 # Exact a, adot, b, bdot, g, gdot: 1.658598E-05 2.689682E-02 -5.179611E-07 2.289443E-05 2.546187E-02 -1.485500E-04 # Covariance matrix: 1.1830E-13 -1.7992E-14 7.2105E-16 -2.0186E-16 8.0442E-14 7.7318E-14 -1.7992E-14 1.7326E-13 7.6627E-16 -1.1839E-16 1.0720E-13 1.6681E-12 7.2105E-16 7.6627E-16 5.9144E-14 -2.6417E-14 1.4197E-15 8.5447E-15 -2.0186E-16 -1.1839E-16 -2.6417E-14 2.7408E-14 -3.3380E-16 -1.2909E-15 8.0442E-14 1.0720E-13 1.4197E-15 -3.3380E-16 1.7275E-13 1.2020E-12 7.7318E-14 1.6681E-12 8.5447E-15 -1.2909E-15 1.2020E-12 1.9084E-11 # lat0 lon0 xBary yBary zBary JD0 -1.498513 14.323088 0.892266 -0.012698 -0.486402 2456509.978378 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 348.25136 +/- 0.060 Argument of Peri: 285.84926 +/- 0.080 Long of Asc Node: 102.44650 +/- 0.014 Inclination: 1.47983 +/- 0.000 Eccentricity: 0.12834212 +/- 0.0001 Semi-Major Axis: 45.44433850 +/- 0.0029 Time of Perihelion: 2460152.2667 +/- 18.7 Perihelion: 39.61191557 +/- 0.0037 Aphelion: 51.27676143 +/- 0.0043 Period (y) 306.3571 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.73253842 +/- 0.0006 Ecliptic Y 8.97172933 +/- 0.0002 Ecliptic Z -1.02703973 +/- 0.0000 Ecliptic XDOT -0.00073712 +/- 0.0000 Ecliptic YDOT 0.00279746 +/- 0.0000 Ecliptic ZDOT 0.00000302 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.77129958 +/- 0.0006 Geocenter to KBO 39.27440565 +/- 0.0006 # Hcoef: 8.52
The following table shows the complete astrometric record for 13SM100. 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 (13SM100) followed by the observatory code and reference code for the source of the astrometry.
2013 08 05.47760 00 55 03.869 +04 15 55.98 24.6r 13SM100 568 C~2NKL 2013 08 05.51647 00 55 03.804 +04 15 55.35 24.8r 13SM100 568 C~2NKL 2013 08 08.45650 00 54 58.467 +04 15 15.62 24.3r 13SM100 568 C~2NKL 2013 08 31.58046 00 53 53.741 +04 07 47.37 24.7r 13SM100 568 C~2NKL 2013 09 01.42715 00 53 50.717 +04 07 26.95 24.0r 13SM100 568 C~2NKL 2013 09 01.46598 00 53 50.569 +04 07 26.13 24.2r 13SM100 568 C~2NKL 2013 09 05.40666 00 53 35.860 +04 05 48.15 24.6r 13SM100 568 C~2NKL 2013 09 05.44546 00 53 35.720 +04 05 47.32 24.4r 13SM100 568 C~2NKL 2013 09 29.32731 00 51 52.646 +03 54 40.23 24.7r 13SM100 568 C~2NKL 2013 09 29.33220 00 51 52.629 +03 54 40.01 24.4r 13SM100 568 C~2NKL 2013 09 29.37646 00 51 52.421 +03 54 38.67 24.3r 13SM100 568 C~2NKL 2013 09 29.41553 00 51 52.242 +03 54 37.53 24.3r 13SM100 568 C~2NKL 2013 10 03.36136 00 51 33.844 +03 52 40.82 27.7r 13SM100 568 C~2NKL 2013 10 03.42199 00 51 33.563 +03 52 39.24 24.1r 13SM100 568 C~2NKL 2013 10 04.48370 00 51 28.582 +03 52 07.78 24.5r 13SM100 568 C~2NKL 2013 10 04.49405 00 51 28.536 +03 52 07.54 24.1r 13SM100 568 C~2NKL 2013 10 04.50281 00 51 28.483 +03 52 07.18 24.5r 13SM100 568 C~2NKL 2013 10 09.46918 00 51 05.155 +03 49 40.76 24.7r 13SM100 568 C~2NKL 2013 11 27.26350 00 47 54.682 +03 30 37.42 24.0r 13SM100 568 C~2NKL 2013 11 27.30798 00 47 54.568 +03 30 36.58 13SM100 568 C~2NKL 2013 12 05.22182 00 47 37.367 +03 29 05.26 23.9r 13SM100 568 C~2NKL 2014 06 27.57448 01 00 39.018 +04 52 28.22 24.7r 13SM100 568 C~2NKL 2014 06 28.57952 01 00 40.920 +04 52 37.87 24.7r 13SM100 568 C~2NKL 2014 07 27.53111 01 00 56.830 +04 53 06.94 24.3r 13SM100 568 C~2NKL 2014 08 22.61348 01 00 08.215 +04 47 09.68 24.9r 13SM100 568 C~2NKL 2014 10 23.27749 00 55 48.556 +04 19 30.91 24.1r 13SM100 568 C~2NKL 2014 10 23.33112 00 55 48.316 +04 19 29.75 24.6r 13SM100 568 C~2NKL 2014 10 23.38450 00 55 48.061 +04 19 27.97 24.2r 13SM100 568 C~2NKL 2014 10 25.25487 00 55 39.659 +04 18 36.94 23.7r 13SM100 568 C~2NKL 2014 10 25.45680 00 55 38.736 +04 18 31.31 24.2r 13SM100 568 C~2NKL 2014 10 27.24490 00 55 30.809 +04 17 43.15 24.9r 13SM100 568 C~2NKL 2014 10 27.30309 00 55 30.566 +04 17 41.62 24.5r 13SM100 568 C~2NKL 2014 10 27.36937 00 55 30.264 +04 17 39.91 23.9r 13SM100 568 C~2NKL 2014 10 29.25791 00 55 22.018 +04 16 49.96 24.2r 13SM100 568 C~2NKL 2014 11 19.20738 00 54 01.505 +04 08 54.94 24.8r 13SM100 568 C~2NKL 2014 11 19.27463 00 54 01.283 +04 08 53.63 24.3r 13SM100 568 C~2NKL 2014 11 25.22391 00 53 43.307 +04 07 12.15 23.9r 13SM100 568 C~2NKL 2015 08 20.53131 01 05 59.226 +05 23 39.08 23.9r 13SM100 568 C~2NKL 2015 12 07.36957 00 58 57.564 +04 40 29.77 24.3w 13SM100 568 C~2NKL 2017 01 31.22433 01 05 08.072 +05 21 15.09 24.9w 13SM100 568 C~2NKL 2017 07 24.59587 01 18 03.840 +06 38 49.78 25.0w 13SM100 568 C~2NKL 2017 08 25.52748 01 17 15.960 +06 32 52.90 24.8w 13SM100 568 C~2NKL 2017 08 30.46920 01 17 01.231 +06 31 15.41 24.8w 13SM100 568 C~2NKL
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 0.02 0.00 0.11
2 0.0001 -1.14 0.02 -0.21 -0.04
3 0.0082 -90.13 -0.04 -5.99 0.06
4 0.0715 -1156.44 -0.03 -44.97 0.02
5 0.0738 -1206.06 0.08 -46.30 -0.09
6 0.0739 -1208.42 0.06 -46.20 0.04
7 0.0847 -1449.27 0.05 -51.41 -0.14
8 0.0848 -1451.52 0.27 -51.36 -0.07
9 0.1502 -3132.06 -0.13 -69.31 0.14
10 0.1502 -3132.38 -0.08 -69.41 0.04
11 0.1503 -3135.77 -0.08 -69.44 -0.00
12 0.1504 -3138.68 -0.00 -69.45 -0.03
13 0.1612 -3437.80 -0.06 -70.37 -0.12
14 0.1614 -3442.29 0.13 -70.20 0.03
15 0.1643 -3523.23 0.09 -70.32 -0.02
16 0.1643 -3523.96 0.17 -70.27 0.02
17 0.1643 -3524.83 -0.03 -70.30 -0.01
18 0.1779 -3903.54 -0.38 -69.96 0.17
19 0.3115 -6977.22 0.02 -17.34 0.09
20 0.3117 -6979.12 -0.05 -17.46 -0.12
21 0.3333 -7252.22 0.04 -1.55 0.06
22 0.8928 5470.30 0.16 90.35 -0.16
23 0.8956 5500.27 0.07 88.32 0.03
24 0.9748 5731.12 -0.12 23.67 -0.09
25 1.0462 4922.43 -0.23 -26.55 -0.08
26 1.2151 699.56 0.04 -60.02 -0.07
27 1.2152 695.80 0.26 -59.70 0.18
28 1.2154 691.60 0.02 -59.87 -0.05
29 1.2205 555.96 0.07 -58.40 0.11
30 1.2210 541.06 -0.05 -58.26 -0.01
31 1.2259 413.08 -0.21 -56.87 0.01
32 1.2261 409.14 0.05 -56.88 -0.07
33 1.2263 404.31 0.01 -56.71 0.01
34 1.2314 271.25 0.02 -55.12 -0.04
35 1.2888 -1023.18 -0.09 -27.59 0.04
36 1.2890 -1026.75 -0.10 -27.51 -0.03
37 1.3053 -1314.02 0.02 -17.06 0.01
38 2.0398 10613.88 -0.12 -17.90 0.09
39 2.3378 3793.21 0.04 11.08 -0.05
40 3.4901 9851.16 0.11 141.81 0.03
41 3.9675 22404.30 0.05 43.35 -0.09
42 4.0549 21599.85 -0.08 -17.85 0.02
43 4.0684 21357.18 0.02 -25.15 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.
13SM100 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.709 45.717 45.701 ecceobj 0.133 0.133 0.133 incobj 1.480 1.480 1.480 qmin 38.654 38.680 38.678 qmax 52.476 52.445 52.448 amean 45.379 45.387 45.371 amin 44.996 45.003 44.998 amax 45.811 45.815 45.807 emean 0.130 0.130 0.130 emin 0.115 0.116 0.116 emax 0.145 0.145 0.145 imean 0.720 0.718 0.722 imin 0.000 0.000 0.000 imax 1.212 1.209 1.215 excite_mean 0.131 0.131 0.131 fracstop 1.000 1.000 1.000 cjmean 3.097 3.097 3.097 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 180.1 179.9 179.9 kozaiamp 180.0 180.0 180.0