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: 13SD106 # Created Sun Dec 22 02:09:39 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 30 observations of 30 # Arc: 17.08y # First observation: 2004/08/13 # Last observation: 2021/09/12 # Chi-squared of fit: 8.96 DOF: 54 RMS: 0.10 # Min/Max residuals: -0.17 0.18 # Exact a, adot, b, bdot, g, gdot: 1.201147E-05 1.511589E-02 4.496737E-06 6.019952E-03 2.000852E-02 2.796710E-04 # Covariance matrix: 6.7843E-13 -9.1843E-14 7.0917E-14 -2.1776E-14 -1.2044E-14 -2.0382E-13 -9.1843E-14 4.1611E-14 -4.7795E-14 1.4767E-14 1.0652E-13 1.3850E-13 7.0917E-14 -4.7795E-14 5.4469E-13 -5.7625E-14 -1.2823E-13 -1.7412E-13 -2.1776E-14 1.4767E-14 -5.7625E-14 9.2248E-15 3.9772E-14 5.3784E-14 -1.2044E-14 1.0652E-13 -1.2823E-13 3.9772E-14 4.4955E-13 3.7348E-13 -2.0382E-13 1.3850E-13 -1.7412E-13 5.3784E-14 3.7348E-13 5.0439E-13 # lat0 lon0 xBary yBary zBary JD0 -3.158895 -2.186877 0.610692 -0.044716 -0.812174 2453230.810213 # Heliocentric elements and errors Epoch: 2453230.5000 = 2004/08/13 Mean Anomaly: 177.59160 +/- 0.027 Argument of Peri: 173.44640 +/- 0.013 Long of Asc Node: 4.86759 +/- 0.000 Inclination: 21.95240 +/- 0.000 Eccentricity: 0.15410961 +/- 0.0001 Semi-Major Axis: 44.01218716 +/- 0.0040 Time of Perihelion: 2400619.3524 +/- 10.8 Perihelion: 37.22948615 +/- 0.0045 Aphelion: 50.79488817 +/- 0.0055 Period (y) 291.9898 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 50.65185322 +/- 0.0017 Ecliptic Y -2.54361973 +/- 0.0001 Ecliptic Z -2.75387809 +/- 0.0001 Ecliptic XDOT 0.00016053 +/- 0.0000 Ecliptic YDOT 0.00205668 +/- 0.0000 Ecliptic ZDOT 0.00082048 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 50.79038995 +/- 0.0017 Geocenter to KBO 49.97872571 +/- 0.0017 # Hcoef: 6.17
The following table shows the complete astrometric record for 13SD106. 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 (13SD106) followed by the observatory code and reference code for the source of the astrometry.
2004 08 13.30947 23 57 00.33 -03 46 04.2 21.8R 13SD106 807 C~3clG 2004 08 13.38192 23 57 00.11 -03 46 05.5 13SD106 807 C~3clG 2013 09 30.15950 00 17 51.61 +01 56 21.0 23.3r 13SD106 W84 C~3clG 2013 09 30.16097 00 17 51.603 +01 56 20.98 22.8i 13SD106 W84 C~4yR2 2013 11 22.07262 00 15 00.292 +01 41 07.97 22.8r 13SD106 W84 C~4yR2 2013 11 22.07399 00 15 00.298 +01 41 07.83 23.0i 13SD106 W84 C~4yR2 2013 11 23.09272 00 14 58.292 +01 40 58.36 23.7r 13SD106 W84 C~4yR2 2013 11 23.09414 00 14 58.289 +01 40 58.48 22.7i 13SD106 W84 C~4yR2 2014 10 29.12676 00 18 43.295 +02 26 30.77 23.1z 13SD106 W84 C~4yR2 2014 10 29.17372 00 18 43.137 +02 26 29.71 23.6r 13SD106 W84 C~4yR2 2014 11 13.04797 00 17 58.789 +02 22 33.40 22.8i 13SD106 W84 C~4yR2 2014 11 13.09322 00 17 58.665 +02 22 32.83 22.5z 13SD106 W84 C~4yR2 2015 11 07.07731 00 20 53.590 +03 03 49.34 23.4r 13SD106 W84 C~4yR2 2015 11 07.07867 00 20 53.591 +03 03 49.18 22.9i 13SD106 W84 C~4yR2 2016 09 10.26801 00 27 02.858 +04 02 56.48 22.7i 13SD106 W84 C~4yR2 2016 09 10.32270 00 27 02.671 +04 02 55.44 23.1r 13SD106 W84 C~4yR2 2016 11 18.10343 00 22 59.499 +03 40 41.07 23.4r 13SD106 W84 C~4yR2 2016 11 18.10482 00 22 59.499 +03 40 41.32 23.0i 13SD106 W84 C~4yR2 2016 11 30.09555 00 22 35.538 +03 38 36.25 23.3r 13SD106 W84 C~4yR2 2016 11 30.09692 00 22 35.522 +03 38 36.37 23.2i 13SD106 W84 C~4yR2 2016 11 30.09830 00 22 35.518 +03 38 36.14 24.1g 13SD106 W84 C~4yR2 2016 12 05.08116 00 22 28.414 +03 38 02.13 22.8z 13SD106 W84 C~4yR2 2017 08 22.31907 00 30 46.060 +04 48 10.30 23.1r 13SD106 W84 C~4yR2 2017 10 22.16780 00 27 01.476 +04 28 12.06 23.5r 13SD106 W84 C~4yR2 2017 10 22.16918 00 27 01.454 +04 28 12.22 24.2g 13SD106 W84 C~4yR2 2017 10 27.15201 00 26 43.716 +04 26 32.72 23.0z 13SD106 W84 C~4yR2 2017 10 29.13620 00 26 36.867 +04 25 54.34 22.8z 13SD106 W84 C~4yR2 2021 09 12.341830 00 40 18.719 +07 21 47.97 23.3G 13SD106 G37 C~55Nk 2021 09 12.402080 00 40 18.484 +07 21 46.75 13SD106 G37 C~55Nk 2021 09 12.462960 00 40 18.266 +07 21 45.85 13SD106 G37 C~55Nk
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 0.04
2 0.0002 0.00 -0.04 0.00 0.05
3 9.1303 0.00 0.09 0.00 -0.05
4 9.1303 0.00 0.07 0.00 -0.03
5 9.2752 0.00 -0.16 0.00 0.18
6 9.2752 0.00 -0.03 0.00 0.05
7 9.2780 0.00 0.02 0.00 -0.13
8 9.2780 0.00 0.02 0.00 0.01
9 10.2089 0.00 0.00 0.00 0.10
10 10.2091 0.00 0.01 0.00 -0.11
11 10.2498 0.00 0.08 0.00 -0.03
12 10.2499 0.00 0.03 0.00 0.01
13 11.2328 0.00 0.04 0.00 -0.03
14 11.2328 0.00 0.11 0.00 -0.17
15 12.0765 0.00 -0.10 0.00 -0.03
16 12.0767 0.00 0.17 0.00 -0.00
17 12.2650 0.00 -0.16 0.00 -0.14
18 12.2650 0.00 -0.11 0.00 0.12
19 12.2978 0.00 0.16 0.00 -0.08
20 12.2978 0.00 -0.04 0.00 0.05
21 12.2978 0.00 -0.07 0.00 -0.17
22 12.3115 0.00 0.18 0.00 0.03
23 13.0240 0.00 0.02 0.00 0.05
24 13.1906 0.00 0.08 0.00 -0.10
25 13.1906 0.00 -0.17 0.00 0.09
26 13.2042 0.00 0.17 0.00 0.13
27 13.2097 0.00 -0.03 0.00 0.09
28 17.0815 0.00 -0.00 0.00 0.06
29 17.0817 0.00 -0.16 0.00 -0.07
30 17.0819 0.00 -0.02 0.00 0.14
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.
13SD106 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.399 44.399 44.399 ecceobj 0.144 0.144 0.144 incobj 21.814 21.814 21.814 qmin 36.407 36.410 36.409 qmax 52.406 52.433 52.341 amean 44.230 44.230 44.204 amin 43.860 43.867 43.818 amax 44.643 44.647 44.620 emean 0.158 0.158 0.156 emin 0.142 0.143 0.142 emax 0.174 0.175 0.174 imean 21.891 21.891 21.914 imin 21.376 21.377 21.400 imax 22.368 22.373 22.354 excite_mean 0.405 0.405 0.405 fracstop 1.000 1.000 1.000 cjmean 2.901 2.901 2.901 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 193.5 193.4 186.6 kozaiamp 179.9 179.9 179.9