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: 13SW112 # Created Tue Apr 1 01:09:43 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 5.10y # First observation: 2013/09/30 # Last observation: 2018/11/07 # Chi-squared of fit: 3.39 DOF: 26 RMS: 0.08 # Min/Max residuals: -0.14 0.21 # Exact a, adot, b, bdot, g, gdot: 1.607221E-05 2.337262E-02 -6.475381E-08 1.239711E-04 2.402940E-02 1.996479E-03 # Covariance matrix: 2.6208E-13 -3.8658E-14 4.2941E-16 8.7349E-17 2.3786E-13 2.2635E-13 -3.8658E-14 5.3765E-13 4.2642E-17 2.6769E-15 2.8755E-13 5.1704E-12 4.2941E-16 4.2642E-17 1.8292E-13 -4.4363E-14 1.2965E-15 1.3449E-15 8.7349E-17 2.6769E-15 -4.4363E-14 2.1857E-14 1.6637E-15 2.6957E-14 2.3786E-13 2.8755E-13 1.2965E-15 1.6637E-15 8.5664E-13 3.3843E-12 2.2635E-13 5.1704E-12 1.3449E-15 2.6957E-14 3.3843E-12 5.2190E-11 # lat0 lon0 xBary yBary zBary JD0 0.631313 1.140512 -0.098690 0.011080 -0.996707 2456565.633408 # Heliocentric elements and errors Epoch: 2456566.5000 = 2013/10/01 Mean Anomaly: 67.30817 +/- 0.055 Argument of Peri: 346.28928 +/- 0.084 Long of Asc Node: 297.84750 +/- 0.028 Inclination: 0.68932 +/- 0.000 Eccentricity: 0.08948257 +/- 0.0003 Semi-Major Axis: 43.81146920 +/- 0.0065 Time of Perihelion: 2436762.8398 +/- 16.7 Perihelion: 39.89110616 +/- 0.0147 Aphelion: 47.73183224 +/- 0.0152 Period (y) 289.9946 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.59909014 +/- 0.0016 Ecliptic Y 0.94990848 +/- 0.0000 Ecliptic Z 0.45851253 +/- 0.0000 Ecliptic XDOT 0.00016808 +/- 0.0000 Ecliptic YDOT 0.00266569 +/- 0.0000 Ecliptic ZDOT 0.00001677 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.61209209 +/- 0.0016 Geocenter to KBO 41.61566569 +/- 0.0016 # Hcoef: 7.23
The following table shows the complete astrometric record for 13SW112. 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 (13SW112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.13263 00 03 10.873 +01 01 58.35 22.9r 13SW112 W84 C~52RV 2013 09 30.13409 00 03 10.877 +01 01 58.41 23.1i 13SW112 W84 C~52RV 2013 10 11.11811 00 02 23.876 +00 56 51.23 23.1z 13SW112 W84 C~52RV 2013 10 13.10922 00 02 15.659 +00 55 57.42 23.0i 13SW112 W84 C~52RV 2013 10 28.07069 00 01 18.636 +00 49 40.70 23.4r 13SW112 W84 C~52RV 2013 10 28.07351 00 01 18.605 +00 49 40.63 23.7i 13SW112 W84 C~52RV 2013 11 22.06260 00 00 11.468 +00 42 07.19 24.3r 13SW112 W84 C~52RV 2013 11 23.08855 00 00 09.674 +00 41 54.74 23.4r 13SW112 W84 C~52RV 2015 11 07.07175 00 10 30.254 +01 50 14.61 23.8r 13SW112 W84 C~52RV 2017 08 22.31634 00 25 13.393 +03 26 15.02 22.9i 13SW112 W84 C~52RV 2017 08 28.26891 00 24 52.868 +03 24 06.41 23.7r 13SW112 W84 C~52RV 2017 09 27.17455 00 22 50.343 +03 11 06.57 23.2z 13SW112 W84 C~52RV 2017 10 22.17055 00 21 03.998 +02 59 36.28 23.6r 13SW112 W84 C~52RV 2017 10 22.17193 00 21 03.993 +02 59 36.27 23.5i 13SW112 W84 C~52RV 2018 09 09.32722 00 28 56.319 +03 50 40.24 23.3i 13SW112 W84 C~52RV 2018 11 07.13052 00 24 55.141 +03 24 42.16 23.2r 13SW112 W84 C~52RV
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 -0.14 0.00 -0.03 2 0.0000 0.00 0.01 0.00 0.07 3 0.0301 0.00 -0.06 0.00 -0.06 4 0.0355 0.00 -0.02 0.00 0.07 5 0.0765 0.00 0.21 0.00 0.09 6 0.0765 0.00 -0.11 0.00 0.08 7 0.1449 0.00 0.04 0.00 -0.13 8 0.1477 0.00 0.06 0.00 -0.09 9 2.1025 0.00 0.10 0.00 -0.07 10 3.8937 0.00 0.04 0.00 0.18 11 3.9100 0.00 -0.08 0.00 -0.01 12 3.9919 0.00 -0.00 0.00 0.01 13 4.0603 0.00 -0.02 0.00 -0.02 14 4.0603 0.00 -0.01 0.00 0.01 15 4.9424 0.00 0.06 0.00 0.01 16 5.1033 0.00 -0.02 0.00 -0.08
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.
13SW112 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.069 44.069 44.069 ecceobj 0.093 0.093 0.093 incobj 0.689 0.689 0.689 qmin 39.192 39.227 39.226 qmax 48.860 48.814 48.792 amean 43.866 43.867 43.867 amin 43.513 43.501 43.513 amax 44.270 44.254 44.254 emean 0.085 0.085 0.085 emin 0.066 0.066 0.067 emax 0.104 0.104 0.103 imean 2.644 2.644 2.646 imin 1.811 1.811 1.813 imax 3.417 3.416 3.417 excite_mean 0.097 0.097 0.097 fracstop 1.000 1.000 1.000 cjmean 3.089 3.089 3.089 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 183.4 182.9 183.0 kozaiamp 179.9 179.9 180.0