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: 13SF106 # Created Tue Apr 1 01:09:42 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 39 observations of 39 # Arc: 11.07y # First observation: 2013/09/06 # Last observation: 2024/10/01 # Chi-squared of fit: 12.48 DOF: 72 RMS: 0.10 # Min/Max residuals: -0.23 0.56 # Exact a, adot, b, bdot, g, gdot: 1.801730E-05 2.630338E-02 -2.343689E-07 -7.841557E-04 2.324254E-02 1.234061E-03 # Covariance matrix: 1.1532E-13 -4.2051E-14 -1.2380E-14 9.6910E-16 4.4689E-14 -1.1938E-13 -4.2051E-14 3.1777E-14 1.6174E-15 -4.9550E-16 -2.2147E-15 1.0597E-13 -1.2380E-14 1.6174E-15 8.3833E-14 -1.1108E-14 -4.9671E-14 7.9165E-15 9.6910E-16 -4.9550E-16 -1.1108E-14 3.5017E-15 1.9971E-15 -1.9287E-15 4.4689E-14 -2.2147E-15 -4.9671E-14 1.9971E-15 1.9787E-13 -1.5717E-14 -1.1938E-13 1.0597E-13 7.9165E-15 -1.9287E-15 -1.5717E-14 3.9702E-13 # lat0 lon0 xBary yBary zBary JD0 -40.627945 -38.370942 -0.375495 -0.609742 -0.710828 2456541.730548 # Heliocentric elements and errors Epoch: 2456542.5000 = 2013/09/07 Mean Anomaly: 3.87068 +/- 0.002 Argument of Peri: 257.88053 +/- 0.004 Long of Asc Node: 54.43162 +/- 0.000 Inclination: 39.84881 +/- 0.000 Eccentricity: 0.42188910 +/- 0.0001 Semi-Major Axis: 75.28675715 +/- 0.0124 Time of Perihelion: 2453977.0651 +/- 1.4 Perihelion: 43.52409519 +/- 0.0096 Aphelion: 107.04941911 +/- 0.0187 Period (y) 653.2600 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 26.56826570 +/- 0.0005 Ecliptic Y -20.55362419 +/- 0.0004 Ecliptic Z -28.01521450 +/- 0.0005 Ecliptic XDOT 0.00195649 +/- 0.0000 Ecliptic YDOT 0.00239690 +/- 0.0000 Ecliptic ZDOT -0.00016462 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.73983108 +/- 0.0005 Geocenter to KBO 43.02455851 +/- 0.0008 # Hcoef: 4.86
The following table shows the complete astrometric record for 13SF106. 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 (13SF106) followed by the observatory code and reference code for the source of the astrometry.
2013 09 06.22977 22 55 04.257 -51 42 12.67 21.8g 13SF106 W84 C~4yR2 2013 09 06.23117 22 55 04.247 -51 42 12.65 21.1r 13SF106 W84 C~4yR2 2013 09 06.23257 22 55 04.236 -51 42 12.68 20.7i 13SF106 W84 C~4yR2 2013 09 24.08011 22 53 07.22 -51 43 18.1 22.3g 13SF106 W84 C~3clG 2013 10 12.13353 22 51 24.508 -51 38 38.86 20.8z 13SF106 W84 C~4yR2 2013 10 12.17113 22 51 24.316 -51 38 37.93 21.1i 13SF106 W84 C~4yR2 2013 10 12.23942 22 51 23.969 -51 38 36.18 21.4r 13SF106 W84 C~4yR2 2013 10 14.04411 22 51 15.152 -51 37 49.39 21.0Y 13SF106 W84 C~4yR3 2013 11 09.07665 22 49 46.157 -51 20 54.69 20.7Y 13SF106 W84 C~4yR3 2013 11 21.10152 22 49 33.572 -51 10 06.14 20.9z 13SF106 W84 C~4yR3 2013 12 04.09707 22 49 42.171 -50 56 55.88 21.5r 13SF106 W84 C~4yR3 2013 12 06.05456 22 49 45.501 -50 54 50.90 21.1i 13SF106 W84 C~4yR3 2013 12 06.07319 22 49 45.534 -50 54 49.69 21.4r 13SF106 W84 C~4yR3 2014 08 18.24409 23 05 31.985 -50 50 19.57 21.8g 13SF106 W84 C~4yR3 2014 08 18.25195 23 05 31.929 -50 50 19.75 20.5z 13SF106 W84 C~4yR3 2014 09 12.18056 23 02 50.129 -50 59 14.93 21.1Y 13SF106 W84 C~4yR3 2015 08 16.27798 23 13 47.783 -50 02 16.89 21.0i 13SF106 W84 C~4yR3 2015 08 16.28073 23 13 47.762 -50 02 16.91 21.9g 13SF106 W84 C~4yR3 2015 09 01.22123 23 12 09.433 -50 10 05.64 20.8Y 13SF106 W84 C~4yR3 2015 09 02.22930 23 12 02.938 -50 10 27.81 20.9z 13SF106 W84 C~4yR3 2015 09 28.14040 23 09 16.576 -50 14 03.92 21.2Y 13SF106 W84 C~4yR3 2016 10 06.12999 23 16 14.878 -49 25 32.04 21.2i 13SF106 W84 C~4yR3 2016 11 04.02624 23 14 03.947 -49 12 16.60 21.1z 13SF106 W84 C~4yR3 2017 08 21.25949 23 28 30.192 -48 26 32.22 21.0i 13SF106 W84 C~4yR3 2017 08 21.26086 23 28 30.182 -48 26 32.23 21.4r 13SF106 W84 C~4yR3 2017 08 21.26223 23 28 30.178 -48 26 32.35 22.1g 13SF106 W84 C~4yR3 2017 09 12.18867 23 26 16.333 -48 35 42.96 20.8Y 13SF106 W84 C~4yR3 2017 09 30.12857 23 24 24.721 -48 37 24.50 21.1z 13SF106 W84 C~4yR3 2017 10 11.24700 23 23 21.099 -48 35 35.21 21.1z 13SF106 W84 C~4yR3 2017 11 10.17330 23 21 16.536 -48 20 09.86 21.4r 13SF106 W84 C~4yR3 2017 11 10.17468 23 21 16.528 -48 20 09.83 22.2g 13SF106 W84 C~4yR3 2018 11 07.10163 23 28 40.462 -47 33 03.55 21.1i 13SF106 W84 C~4yR3 2018 11 07.10300 23 28 40.458 -47 33 03.50 21.5r 13SF106 W84 C~4yR3 2020 08 13.14649 23 50 00.41 -45 41 36.0 20.9G 13SF106 X01 C~4UB5 2020 08 13.26661 23 49 59.84 -45 41 41.7 21.1G 13SF106 X01 C~4UB5 2024 10 01.404263 00 10 08.107 -42 17 10.26 21.4w 13SF106 F51 C~8Gyf 2024 10 01.412069 00 10 08.067 -42 17 10.31 21.4w 13SF106 F51 C~8Gyf 2024 10 01.419846 00 10 08.019 -42 17 10.12 21.3w 13SF106 F51 C~8Gyf 2024 10 01.428473 00 10 07.951 -42 17 10.06 21.6w 13SF106 F51 C~8Gyf
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 0.01 0.00 -0.07
2 0.0000 0.00 0.01 0.00 -0.03
3 0.0000 0.00 -0.01 0.00 -0.04
4 0.0489 0.00 0.02 0.00 -0.04
5 0.0983 0.00 0.04 0.00 0.02
6 0.0984 0.00 0.04 0.00 -0.01
7 0.0986 0.00 0.04 0.00 -0.00
8 0.1035 0.00 0.18 0.00 -0.03
9 0.1748 0.00 -0.09 0.00 0.15
10 0.2077 0.00 0.12 0.00 -0.02
11 0.2433 0.00 0.05 0.00 -0.04
12 0.2487 0.00 0.07 0.00 -0.02
13 0.2487 0.00 0.08 0.00 -0.01
14 0.9473 0.00 0.08 0.00 -0.07
15 0.9474 0.00 -0.02 0.00 0.01
16 1.0156 0.00 -0.17 0.00 0.13
17 1.9413 0.00 -0.01 0.00 -0.03
18 1.9413 0.00 -0.08 0.00 0.05
19 1.9849 0.00 -0.03 0.00 0.06
20 1.9877 0.00 -0.01 0.00 -0.01
21 2.0586 0.00 0.03 0.00 0.02
22 3.0825 0.00 -0.04 0.00 -0.02
23 3.1617 0.00 0.01 0.00 -0.03
24 3.9563 0.00 -0.03 0.00 -0.02
25 3.9563 0.00 -0.06 0.00 0.02
26 3.9563 0.00 -0.00 0.00 -0.05
27 4.0163 0.00 -0.17 0.00 -0.01
28 4.0654 0.00 -0.09 0.00 -0.09
29 4.0959 0.00 -0.05 0.00 0.01
30 4.1778 0.00 0.04 0.00 -0.01
31 4.1778 0.00 -0.03 0.00 -0.04
32 5.1687 0.00 -0.01 0.00 -0.01
33 5.1687 0.00 0.00 0.00 -0.02
34 6.9347 0.00 0.15 0.00 0.56
35 6.9351 0.00 0.05 0.00 0.01
36 11.0696 0.00 0.05 0.00 -0.23
37 11.0696 0.00 0.13 0.00 -0.22
38 11.0697 0.00 0.08 0.00 0.03
39 11.0697 0.00 -0.20 0.00 0.15
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.
13SF106 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 75.936 75.936 75.936 ecceobj 0.427 0.427 0.427 incobj 39.881 39.881 39.881 qmin 42.750 42.747 42.753 qmax 110.357 110.319 110.378 amean 75.808 75.808 75.808 amin 74.744 74.728 74.763 amax 77.132 77.194 77.153 emean 0.410 0.410 0.410 emin 0.392 0.392 0.392 emax 0.435 0.434 0.435 imean 39.454 39.457 39.455 imin 38.736 38.735 38.736 imax 40.035 40.046 40.038 excite_mean 0.756 0.756 0.756 fracstop 1.000 1.000 1.000 cjmean 2.632 2.632 2.632 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 242.1 241.6 242.0 kozaiamp 180.0 180.0 180.0