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: 13SF113 # Created Sun Dec 22 02:09:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 11 observations of 11 # Arc: 5.16y # First observation: 2013/09/30 # Last observation: 2018/11/27 # Chi-squared of fit: 3.71 DOF: 16 RMS: 0.10 # Min/Max residuals: -0.21 0.19 # Exact a, adot, b, bdot, g, gdot: 1.578829E-05 2.483724E-02 2.483614E-07 1.050025E-03 2.529431E-02 -9.106516E-04 # Covariance matrix: 2.7558E-13 -1.8877E-13 3.6794E-15 -6.5432E-15 -1.2132E-13 -1.0783E-12 -1.8877E-13 4.7477E-13 -1.5624E-14 3.6720E-14 1.0881E-13 3.7165E-12 3.6794E-15 -1.5624E-14 2.2964E-13 -5.9848E-14 7.2865E-15 -1.3548E-13 -6.5432E-15 3.6720E-14 -5.9848E-14 4.0669E-14 -4.1378E-14 3.2583E-13 -1.2132E-13 1.0881E-13 7.2865E-15 -4.1378E-14 1.0521E-12 6.0648E-13 -1.0783E-12 3.7165E-12 -1.3548E-13 3.2583E-13 6.0648E-13 3.1512E-11 # lat0 lon0 xBary yBary zBary JD0 -38.178748 -39.054030 -0.719454 -0.430670 -0.547870 2456565.698028 # Heliocentric elements and errors Epoch: 2456566.5000 = 2013/10/01 Mean Anomaly: 223.43082 +/- 0.334 Argument of Peri: 52.92764 +/- 0.329 Long of Asc Node: 47.02196 +/- 0.001 Inclination: 37.67289 +/- 0.000 Eccentricity: 0.02886434 +/- 0.0002 Semi-Major Axis: 39.25194115 +/- 0.0061 Time of Perihelion: 2490641.8502 +/- 84.3 Perihelion: 38.11895965 +/- 0.0095 Aphelion: 40.38492265 +/- 0.0097 Period (y) 245.9234 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 25.12780958 +/- 0.0010 Ecliptic Y -19.45797900 +/- 0.0008 Ecliptic Z -24.43700993 +/- 0.0010 Ecliptic XDOT 0.00168204 +/- 0.0000 Ecliptic YDOT 0.00209089 +/- 0.0000 Ecliptic ZDOT 0.00015041 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.08975142 +/- 0.0009 Geocenter to KBO 39.53465348 +/- 0.0016 # Hcoef: 7.58
The following table shows the complete astrometric record for 13SF113. 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 (13SF113) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.19725 22 44 33.383 -49 49 43.75 23.4r 13SF113 W84 C~52RV 2013 09 30.19871 22 44 33.388 -49 49 43.70 23.3i 13SF113 W84 C~52RV 2013 10 04.06884 22 44 09.536 -49 48 42.94 23.9r 13SF113 W84 C~52RV 2013 10 04.07587 22 44 09.498 -49 48 42.99 23.6i 13SF113 W84 C~52RV 2013 10 28.07804 22 42 13.425 -49 36 28.02 23.7r 13SF113 W84 C~52RV 2014 08 18.24686 22 57 01.954 -48 55 57.33 23.9i 13SF113 W84 C~52RV 2014 08 22.23057 22 56 34.550 -48 58 06.39 23.9r 13SF113 W84 C~52RV 2016 10 20.07239 23 04 19.908 -47 23 33.48 23.3r 13SF113 W84 C~52RV 2016 10 20.07929 23 04 19.884 -47 23 33.03 22.5i 13SF113 W84 C~52RV 2018 09 15.25215 23 21 22.138 -45 46 25.79 24.0r 13SF113 W84 C~52RV 2018 11 27.03588 23 15 50.719 -45 15 43.12 24.0g 13SF113 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 0.05
2 0.0000 0.00 0.08 0.00 0.08
3 0.0106 0.00 0.05 0.00 0.14
4 0.0106 0.00 0.13 0.00 -0.03
5 0.0763 0.00 -0.10 0.00 -0.08
6 0.8817 0.00 -0.04 0.00 -0.21
7 0.8926 0.00 0.04 0.00 -0.00
8 3.0551 0.00 -0.03 0.00 -0.05
9 3.0551 0.00 0.12 0.00 0.19
10 4.9584 0.00 0.03 0.00 -0.13
11 5.1577 0.00 -0.06 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.
13SF113 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.391 39.391 39.391 ecceobj 0.026 0.026 0.026 incobj 37.702 37.702 37.702 qmin 34.930 34.864 35.197 qmax 44.240 44.474 44.155 amean 39.459 39.458 39.459 amin 39.106 39.102 39.099 amax 39.830 39.829 39.820 emean 0.061 0.070 0.061 emin 0.001 0.001 0.002 emax 0.114 0.117 0.111 imean 36.683 36.604 36.691 imin 36.276 36.226 36.254 imax 37.063 37.006 37.089 excite_mean 0.601 0.601 0.601 fracstop 1.000 1.000 1.000 cjmean 2.596 2.597 2.596 libcent 0 170.9 184.4 193.6 libamp 0 168.7 117.0 148.6 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 198.3 189.1 191.2 kozaiamp 180.0 180.0 180.0