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: 13SJ106 # Created Fri Apr 26 01:15:10 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 43 observations of 43 # Arc: 7.13y # First observation: 2013/09/28 # Last observation: 2020/11/14 # Chi-squared of fit: 11.88 DOF: 80 RMS: 0.09 # Min/Max residuals: -0.24 0.22 # Exact a, adot, b, bdot, g, gdot: 1.548413E-05 2.263895E-02 -1.780121E-06 -7.094608E-04 2.351891E-02 5.429735E-04 # Covariance matrix: 1.4190E-13 -4.8059E-14 -1.3614E-15 7.6250E-16 8.3456E-14 -2.0599E-13 -4.8059E-14 6.0224E-14 9.6009E-16 -1.6544E-15 1.9296E-14 4.3981E-13 -1.3614E-15 9.6009E-16 8.5928E-14 -2.0797E-14 -1.5669E-15 7.6209E-15 7.6250E-16 -1.6544E-15 -2.0797E-14 8.4437E-15 -8.5995E-16 -1.4104E-14 8.3456E-14 1.9296E-14 -1.5669E-15 -8.5995E-16 2.1767E-13 2.2121E-13 -2.0599E-13 4.3981E-13 7.6209E-15 -1.4104E-14 2.2121E-13 3.7475E-12 # lat0 lon0 xBary yBary zBary JD0 -2.253941 0.207614 -0.080148 -0.039199 -0.998302 2456563.596388 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 45.71669 +/- 0.114 Argument of Peri: 182.41257 +/- 0.125 Long of Asc Node: 129.51589 +/- 0.004 Inclination: 2.84095 +/- 0.000 Eccentricity: 0.03211926 +/- 0.0001 Semi-Major Axis: 44.49045173 +/- 0.0036 Time of Perihelion: 2442799.6683 +/- 34.3 Perihelion: 43.06145114 +/- 0.0050 Aphelion: 45.91945232 +/- 0.0051 Period (y) 296.7621 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.48417678 +/- 0.0008 Ecliptic Y 0.24082469 +/- 0.0000 Ecliptic Z -1.67229896 +/- 0.0000 Ecliptic XDOT 0.00004419 +/- 0.0000 Ecliptic YDOT 0.00263430 +/- 0.0000 Ecliptic ZDOT -0.00008487 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.51697243 +/- 0.0008 Geocenter to KBO 42.51900459 +/- 0.0008 # Hcoef: 6.59
The following table shows the complete astrometric record for 13SJ106. 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 (13SJ106) followed by the observatory code and reference code for the source of the astrometry.
2013 09 28.09561 00 04 20.973 -01 59 07.06 23.9g 13SJ106 W84 C~4yR3 2013 09 29.22531 00 04 16.14 -01 59 38.9 23.0r 13SJ106 W84 C~3clG 2013 10 13.09891 00 03 18.215 -02 05 49.87 22.7z 13SJ106 W84 C~4yR3 2013 10 13.09891 00 03 18.21 -02 05 49.9 22.8z 13SJ106 W84 C~3clG 2013 10 13.12596 00 03 18.099 -02 05 50.49 22.6i 13SJ106 W84 C~4yR3 2013 10 13.12596 00 03 18.10 -02 05 50.5 22.6i 13SJ106 W84 C~3clG 2013 11 08.16099 00 01 47.769 -02 14 57.89 22.9r 13SJ106 W84 C~4yR3 2013 11 08.16099 00 01 47.77 -02 14 57.9 22.9r 13SJ106 W84 C~3clG 2013 11 08.16252 00 01 47.775 -02 14 57.97 22.7i 13SJ106 W84 C~4yR3 2013 11 08.16252 00 01 47.78 -02 14 57.9 22.4i 13SJ106 W84 C~3clG 2013 11 22.05983 00 01 16.052 -02 17 50.51 23.6g 13SJ106 W84 C~4yR3 2013 11 22.10449 00 01 15.965 -02 17 51.00 23.1r 13SJ106 W84 C~4yR3 2013 11 22.10912 00 01 15.948 -02 17 51.14 22.3i 13SJ106 W84 C~4yR3 2014 10 23.19873 00 07 28.584 -01 41 08.86 23.1r 13SJ106 W84 C~4yR3 2014 10 23.19873 00 07 28.58 -01 41 08.9 23.3r 13SJ106 W84 C~3clG 2014 10 28.19677 00 07 10.593 -01 42 58.43 23.6g 13SJ106 W84 C~4yR3 2014 11 13.09960 00 06 22.290 -01 47 40.65 22.8z 13SJ106 W84 C~4yR3 2014 11 14.10424 00 06 19.773 -01 47 54.57 22.3z 13SJ106 W84 C~4yR3 2016 09 10.33231 00 20 00.205 -00 24 49.32 22.9i 13SJ106 W84 C~4yR3 2016 09 10.33231 00 20 00.20 -00 24 49.3 23.1i 13SJ106 W84 C~3clG 2016 09 10.33370 00 20 00.203 -00 24 49.41 22.9r 13SJ106 W84 C~4yR3 2016 09 10.33370 00 20 00.20 -00 24 49.4 22.9r 13SJ106 W84 C~3clG 2016 11 18.06894 00 15 40.288 -00 52 04.47 23.2r 13SJ106 W84 C~4yR3 2016 11 18.06894 00 15 40.29 -00 52 04.5 23.3r 13SJ106 W84 C~3clG 2016 11 18.14206 00 15 40.099 -00 52 05.42 22.3i 13SJ106 W84 C~4yR3 2016 11 18.14206 00 15 40.10 -00 52 05.3 23.0i 13SJ106 W84 C~3clG 2016 11 25.12582 00 15 25.587 -00 53 20.73 23.5g 13SJ106 W84 C~4yR3 2016 11 25.12582 00 15 25.58 -00 53 20.8 24.0g 13SJ106 W84 C~3clG 2016 12 05.07123 00 15 11.459 -00 54 22.88 23.0r 13SJ106 W84 C~4yR3 2016 12 05.07123 00 15 11.46 -00 54 22.9 23.0r 13SJ106 W84 C~3clG 2016 12 19.05933 00 15 05.676 -00 54 15.57 22.4i 13SJ106 W84 C~4yR3 2017 09 27.21439 00 23 37.523 -00 03 59.43 22.3i 13SJ106 W84 C~4yR3 2017 09 27.21575 00 23 37.526 -00 03 59.56 22.9r 13SJ106 W84 C~4yR3 2017 10 27.16579 00 21 34.257 -00 17 00.26 22.7z 13SJ106 W84 C~4yR3 2017 10 28.16821 00 21 30.568 -00 17 22.65 22.2z 13SJ106 W84 C~4yR3 2017 11 09.06013 00 20 50.618 -00 21 19.00 23.1r 13SJ106 W84 C~4yR3 2018 09 09.33003 00 29 40.175 +00 33 04.30 22.8i 13SJ106 W84 C~4yR3 2018 09 14.32064 00 29 20.127 +00 30 47.65 22.3i 13SJ106 W84 C~4yR3 2018 09 14.32202 00 29 20.119 +00 30 47.50 22.9r 13SJ106 W84 C~4yR3 2018 09 14.32338 00 29 20.117 +00 30 47.32 23.6g 13SJ106 W84 C~4yR3 2018 09 21.27628 00 28 51.181 +00 27 33.13 22.4z 13SJ106 W84 C~4yR3 2020 11 14.080560 00 34 51.468 +01 02 33.58 23.2G 13SJ106 G37 C~4Nkf 2020 11 14.137020 00 34 51.312 +01 02 32.33 13SJ106 G37 C~4Nkf
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 -0.16 0.00 0.22
2 0.0031 0.00 0.09 0.00 -0.08
3 0.0411 0.00 0.00 0.00 -0.08
4 0.0411 0.00 0.08 0.00 -0.05
5 0.0412 0.00 0.01 0.00 0.01
6 0.0412 0.00 -0.00 0.00 0.02
7 0.1124 0.00 -0.03 0.00 0.05
8 0.1124 0.00 -0.01 0.00 0.04
9 0.1124 0.00 0.20 0.00 0.06
10 0.1124 0.00 0.13 0.00 -0.01
11 0.1505 0.00 0.10 0.00 0.04
12 0.1506 0.00 0.03 0.00 -0.06
13 0.1506 0.00 -0.10 0.00 -0.16
14 1.0680 0.00 -0.24 0.00 0.04
15 1.0680 0.00 -0.18 0.00 0.08
16 1.0817 0.00 0.01 0.00 0.08
17 1.1253 0.00 -0.13 0.00 -0.08
18 1.1280 0.00 -0.07 0.00 -0.01
19 2.9521 0.00 -0.01 0.00 0.05
20 2.9521 0.00 0.06 0.00 0.03
21 2.9521 0.00 0.08 0.00 -0.01
22 2.9521 0.00 0.12 0.00 -0.02
23 3.1402 0.00 0.02 0.00 -0.03
24 3.1402 0.00 -0.01 0.00 0.00
25 3.1404 0.00 -0.19 0.00 0.09
26 3.1404 0.00 -0.20 0.00 -0.03
27 3.1596 0.00 0.09 0.00 -0.08
28 3.1596 0.00 0.20 0.00 -0.01
29 3.1868 0.00 0.16 0.00 -0.07
30 3.1868 0.00 0.15 0.00 -0.05
31 3.2251 0.00 0.02 0.00 0.09
32 3.9976 0.00 -0.07 0.00 0.04
33 3.9976 0.00 0.06 0.00 -0.06
34 4.0796 0.00 0.02 0.00 -0.01
35 4.0823 0.00 -0.01 0.00 -0.07
36 4.1149 0.00 0.06 0.00 -0.03
37 4.9479 0.00 0.07 0.00 0.08
38 4.9616 0.00 -0.04 0.00 0.10
39 4.9616 0.00 -0.07 0.00 -0.01
40 4.9616 0.00 -0.02 0.00 -0.15
41 4.9806 0.00 -0.01 0.00 0.04
42 7.1293 0.00 -0.13 0.00 0.20
43 7.1295 0.00 0.08 0.00 -0.12
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.
13SJ106 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.750 44.750 44.750 ecceobj 0.037 0.037 0.037 incobj 2.837 2.837 2.837 qmin 42.336 42.333 42.340 qmax 46.921 46.912 46.926 amean 44.539 44.539 44.539 amin 44.194 44.196 44.193 amax 44.888 44.889 44.893 emean 0.032 0.032 0.032 emin 0.017 0.017 0.017 emax 0.046 0.046 0.046 imean 1.870 1.870 1.870 imin 1.337 1.337 1.337 imax 2.406 2.406 2.406 excite_mean 0.046 0.046 0.046 fracstop 1.000 1.000 1.000 cjmean 3.106 3.106 3.106 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 169.9 169.9 169.8 kozaiamp 180.0 180.0 179.9