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: 13SH113 # Created Mon Apr 28 01:09:45 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 21 observations of 21 # Arc: 5.16y # First observation: 2013/09/28 # Last observation: 2018/11/26 # Chi-squared of fit: 9.20 DOF: 36 RMS: 0.12 # Min/Max residuals: -0.22 0.29 # Exact a, adot, b, bdot, g, gdot: 1.598553E-05 2.482198E-02 -1.601906E-06 -9.966898E-05 2.454910E-02 3.257819E-04 # Covariance matrix: 2.1581E-13 -4.9422E-14 -4.2306E-16 -4.7301E-17 1.2131E-13 4.4338E-14 -4.9422E-14 2.8888E-13 -2.7559E-16 -8.6692E-16 1.3784E-13 2.9028E-12 -4.2306E-16 -2.7559E-16 1.6472E-13 -4.5880E-14 -1.1721E-15 -3.6943E-15 -4.7301E-17 -8.6692E-16 -4.5880E-14 2.2328E-14 -5.9019E-16 -9.5362E-15 1.2131E-13 1.3784E-13 -1.1721E-15 -5.9019E-16 3.6838E-13 1.7011E-12 4.4338E-14 2.9028E-12 -3.6943E-15 -9.5362E-15 1.7011E-12 3.1746E-11 # lat0 lon0 xBary yBary zBary JD0 -1.192004 7.946196 0.054802 -0.020725 -1.000564 2456563.614146 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 6.23010 +/- 0.145 Argument of Peri: 251.39110 +/- 0.172 Long of Asc Node: 109.13728 +/- 0.017 Inclination: 1.18637 +/- 0.000 Eccentricity: 0.08120295 +/- 0.0001 Semi-Major Axis: 45.39575430 +/- 0.0045 Time of Perihelion: 2454631.1365 +/- 44.9 Perihelion: 41.70948510 +/- 0.0056 Aphelion: 49.08202351 +/- 0.0062 Period (y) 305.8659 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.33309568 +/- 0.0010 Ecliptic Y 5.71724031 +/- 0.0001 Ecliptic Z -0.84747955 +/- 0.0000 Ecliptic XDOT -0.00035312 +/- 0.0000 Ecliptic YDOT 0.00274538 +/- 0.0000 Ecliptic ZDOT -0.00001173 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.73522896 +/- 0.0010 Geocenter to KBO 40.73471978 +/- 0.0010 # Hcoef: 7.24
The following table shows the complete astrometric record for 13SH113. 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 (13SH113) followed by the observatory code and reference code for the source of the astrometry.
2013 09 28.113368 00 31 04.43 +02 03 24.8 23.9g 13SH113 W84 C~55Nk 2013 09 30.15357 00 30 55.315 +02 02 25.77 23.3r 13SH113 W84 C~55Nk 2013 09 30.156030 00 30 55.30 +02 02 25.4 22.8i 13SH113 W84 C~55Nk 2013 10 13.120127 00 29 57.73 +01 56 17.3 22.9i 13SH113 W84 C~55Nk 2013 11 08.174826 00 28 15.44 +01 45 39.5 23.4r 13SH113 W84 C~55Nk 2013 11 08.176204 00 28 15.43 +01 45 39.4 22.8i 13SH113 W84 C~55Nk 2013 11 22.098935 00 27 35.55 +01 41 41.5 23.6r 13SH113 W84 C~55Nk 2013 11 22.13497 00 27 35.444 +01 41 40.74 23.3i 13SH113 W84 C~55Nk 2013 11 23.105880 00 27 33.18 +01 41 27.6 23.0i 13SH113 W84 C~55Nk 2016 09 09.280058 00 48 05.20 +03 51 13.2 23.4r 13SH113 W84 C~55Nk 2016 09 09.28195 00 48 05.200 +03 51 13.20 23.3i 13SH113 W84 C~55Nk 2016 09 10.313924 00 48 01.10 +03 50 46.7 22.6z 13SH113 W84 C~55Nk 2016 11 08.11301 00 43 51.807 +03 24 35.21 23.7i 13SH113 W84 C~55Nk 2016 11 18.122350 00 43 19.09 +03 21 19.9 23.0i 13SH113 W84 C~55Nk 2016 11 18.12426 00 43 19.092 +03 21 19.79 22.9z 13SH113 W84 C~55Nk 2016 11 26.105394 00 42 57.72 +03 19 15.9 23.6r 13SH113 W84 C~55Nk 2017 08 28.28126 00 54 02.372 +04 28 44.18 23.8r 13SH113 W84 C~55Nk 2017 08 28.28264 00 54 02.369 +04 28 44.25 23.5i 13SH113 W84 C~55Nk 2017 08 28.28401 00 54 02.381 +04 28 44.23 24.2g 13SH113 W84 C~55Nk 2017 10 20.16907 00 50 21.968 +04 05 15.61 22.8z 13SH113 W84 C~55Nk 2018 11 26.07524 00 53 21.119 +04 24 29.14 24.7g 13SH113 W84 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 -0.12 0.00 0.29
2 0.0056 0.00 -0.04 0.00 0.08
3 0.0056 0.00 -0.10 0.00 -0.22
4 0.0411 0.00 -0.06 0.00 -0.11
5 0.1124 0.00 0.15 0.00 -0.08
6 0.1124 0.00 0.07 0.00 -0.15
7 0.1505 0.00 0.19 0.00 0.21
8 0.1506 0.00 -0.07 0.00 -0.05
9 0.1533 0.00 -0.00 0.00 -0.03
10 2.9491 0.00 -0.04 0.00 -0.07
11 2.9491 0.00 0.08 0.00 -0.02
12 2.9520 0.00 -0.12 0.00 0.18
13 3.1129 0.00 0.15 0.00 -0.04
14 3.1403 0.00 -0.06 0.00 0.03
15 3.1403 0.00 0.06 0.00 -0.05
16 3.1622 0.00 -0.13 0.00 0.18
17 3.9156 0.00 -0.03 0.00 -0.06
18 3.9156 0.00 -0.01 0.00 0.04
19 3.9156 0.00 0.24 0.00 0.05
20 4.0604 0.00 0.06 0.00 -0.10
21 5.1607 0.00 -0.11 0.00 -0.04
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.
13SH113 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.680 45.680 45.680 ecceobj 0.087 0.087 0.087 incobj 1.186 1.186 1.186 qmin 40.901 40.900 40.901 qmax 50.167 50.163 50.167 amean 45.401 45.401 45.401 amin 45.025 45.025 45.025 amax 45.785 45.784 45.789 emean 0.083 0.083 0.083 emin 0.069 0.069 0.069 emax 0.096 0.096 0.096 imean 0.807 0.807 0.807 imin 0.232 0.232 0.232 imax 1.170 1.171 1.170 excite_mean 0.084 0.084 0.084 fracstop 1.000 1.000 1.000 cjmean 3.110 3.110 3.110 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 193.5 193.5 193.5 kozaiamp 179.9 179.9 180.0