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: 13QX103 # Created Sun Nov 24 02:09:26 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 4.11y # First observation: 2013/08/16 # Last observation: 2017/09/27 Preliminary a, adot, b, bdot, g, gdot: 0.000209 0.030062 -0.000064 -0.008081 0.027937 0.000000 # Chi-squared of fit: 4.52 DOF: 24 RMS: 0.10 # Min/Max residuals: -0.21 0.15 # Exact a, adot, b, bdot, g, gdot: 1.686199E-05 3.039653E-02 -4.393986E-06 -8.119078E-03 2.729563E-02 1.248251E-03 # Covariance matrix: 8.5075E-13 1.1666E-13 -2.3425E-13 -1.4301E-13 3.3351E-12 -3.1786E-13 1.1666E-13 6.4190E-13 -1.0239E-13 -2.0227E-13 2.0366E-12 4.1803E-12 -2.3425E-13 -1.0239E-13 3.5271E-13 -1.0680E-14 -1.3664E-12 -8.3393E-14 -1.4301E-13 -2.0227E-13 -1.0680E-14 1.1442E-13 -1.0799E-12 -1.1498E-12 3.3351E-12 2.0366E-12 -1.3664E-12 -1.0799E-12 2.0471E-11 5.7384E-12 -3.1786E-13 4.1803E-12 -8.3393E-14 -1.1498E-12 5.7384E-12 3.3847E-11 # lat0 lon0 xBary yBary zBary JD0 -30.048911 -68.286137 -0.529736 -0.433024 -0.748681 2456520.701678 # Heliocentric elements and errors Epoch: 2456520.5000 = 2013/08/16 Mean Anomaly: 7.94016 +/- 0.035 Argument of Peri: 231.97727 +/- 0.059 Long of Asc Node: 50.55802 +/- 0.001 Inclination: 32.50616 +/- 0.000 Eccentricity: 0.26019882 +/- 0.0006 Semi-Major Axis: 50.23108716 +/- 0.0474 Time of Perihelion: 2453652.4659 +/- 11.8 Perihelion: 37.16101735 +/- 0.0452 Aphelion: 63.30115698 +/- 0.0661 Period (y) 356.0140 +/- 0.50 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 12.54506816 +/- 0.0019 Ecliptic Y -30.06652404 +/- 0.0049 Ecliptic Z -18.34516555 +/- 0.0030 Ecliptic XDOT 0.00271556 +/- 0.0000 Ecliptic YDOT 0.00140522 +/- 0.0000 Ecliptic ZDOT -0.00076747 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.38876438 +/- 0.0043 Geocenter to KBO 36.63590653 +/- 0.0061 # Hcoef: 7.80
The following table shows the complete astrometric record for 13QX103. 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 (13QX103) followed by the observatory code and reference code for the source of the astrometry.
2013 08 16.20090 20 02 56.073 -51 11 48.43 23.5z 13QX103 W84 C~52RF 2013 08 31.99714 20 01 14.644 -51 08 34.11 24.1g 13QX103 W84 C~52RF 2013 09 01.05265 20 01 14.356 -51 08 32.90 23.8r 13QX103 W84 C~52RF 2013 09 01.05404 20 01 14.317 -51 08 32.79 23.6i 13QX103 W84 C~52RF 2013 09 04.03903 20 00 58.106 -51 07 32.27 23.8r 13QX103 W84 C~52RF 2015 09 11.02705 20 23 08.250 -51 03 44.44 23.0i 13QX103 W84 C~52RF 2015 09 11.02842 20 23 08.242 -51 03 44.62 23.6r 13QX103 W84 C~52RF 2015 09 11.02981 20 23 08.249 -51 03 44.31 24.3g 13QX103 W84 C~52RF 2015 09 11.05174 20 23 08.144 -51 03 43.85 23.4z 13QX103 W84 C~52RF 2016 09 22.99742 20 33 25.851 -50 51 23.84 23.6r 13QX103 W84 C~52RF 2017 09 14.08871 20 45 14.211 -50 44 58.98 23.5r 13QX103 W84 C~52RF 2017 09 14.09008 20 45 14.215 -50 44 58.87 23.1i 13QX103 W84 C~52RF 2017 09 27.02515 20 44 17.191 -50 39 03.43 23.0z 13QX103 W84 C~52RF 2017 09 27.02654 20 44 17.194 -50 39 03.37 23.6r 13QX103 W84 C~52RF 2017 09 27.02790 20 44 17.186 -50 39 03.29 23.3i 13QX103 W84 C~52RF
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 0.15 0.00 -0.06
2 0.0432 -882.83 -0.21 410.39 -0.11
3 0.0434 -885.20 0.12 412.19 -0.00
4 0.0434 -885.53 -0.15 412.38 0.14
5 0.0516 -1020.22 0.09 506.21 -0.00
6 2.0693 11131.95 -0.09 -2595.01 0.07
7 2.0693 11131.83 -0.16 -2595.16 -0.13
8 2.0693 11131.98 0.05 -2594.88 0.10
9 2.0694 11131.18 0.12 -2594.14 0.03
10 3.1042 16928.27 0.11 -3751.76 -0.02
11 4.0791 23412.77 -0.12 -5778.98 0.05
12 4.0791 23412.85 0.01 -5778.89 0.08
13 4.1145 23035.36 -0.02 -5243.95 -0.05
14 4.1145 23035.41 0.06 -5243.91 -0.07
15 4.1145 23035.37 0.04 -5243.80 -0.03
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.
13QX103 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 50.333 50.475 50.191 ecceobj 0.262 0.264 0.260 incobj 32.551 32.551 32.551 qmin 36.251 36.252 36.070 qmax 65.323 65.703 65.305 amean 50.482 50.646 50.402 amin 50.007 50.158 49.905 amax 51.041 51.255 50.974 emean 0.261 0.263 0.260 emin 0.241 0.246 0.241 emax 0.280 0.282 0.282 imean 31.638 31.641 31.638 imin 31.234 31.259 31.160 imax 32.198 32.113 32.138 excite_mean 0.586 0.587 0.585 fracstop 1.000 1.000 1.000 cjmean 2.725 2.725 2.724 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 189.3 201.2 197.8 kozaiamp 180.0 180.0 180.0