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: 13SN112 # Created Tue Apr 1 01:09:43 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 11.15y # First observation: 2013/09/29 # Last observation: 2024/11/24 # Chi-squared of fit: 6.07 DOF: 30 RMS: 0.10 # Min/Max residuals: -0.22 0.31 # Exact a, adot, b, bdot, g, gdot: 1.549155E-05 2.331576E-02 1.899465E-06 3.589696E-03 2.416335E-02 1.094053E-03 # Covariance matrix: 6.2321E-13 -2.7274E-13 5.4119E-14 -4.2648E-14 1.8257E-13 -9.6851E-13 -2.7274E-13 1.6612E-13 -3.6593E-14 2.6920E-14 -3.1844E-14 6.0762E-13 5.4119E-14 -3.6593E-14 1.6596E-13 -2.7758E-14 1.0983E-15 -1.3834E-13 -4.2648E-14 2.6920E-14 -2.7758E-14 1.0709E-14 -6.0657E-15 1.0235E-13 1.8257E-13 -3.1844E-14 1.0983E-15 -6.0657E-15 2.5222E-13 -1.4780E-13 -9.6851E-13 6.0762E-13 -1.3834E-13 1.0235E-13 -1.4780E-13 2.3113E-12 # lat0 lon0 xBary yBary zBary JD0 -9.575337 31.327997 0.428407 -0.150541 -0.893071 2456564.834758 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 52.97803 +/- 0.063 Argument of Peri: 255.26880 +/- 0.068 Long of Asc Node: 77.78779 +/- 0.001 Inclination: 12.70616 +/- 0.000 Eccentricity: 0.04236295 +/- 0.0001 Semi-Major Axis: 43.33521220 +/- 0.0044 Time of Perihelion: 2441230.5827 +/- 18.3 Perihelion: 41.49940482 +/- 0.0057 Aphelion: 45.17101957 +/- 0.0060 Period (y) 285.2789 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.85437190 +/- 0.0007 Ecliptic Y 21.32572340 +/- 0.0004 Ecliptic Z -6.88411289 +/- 0.0001 Ecliptic XDOT -0.00121754 +/- 0.0000 Ecliptic YDOT 0.00235406 +/- 0.0000 Ecliptic ZDOT 0.00038059 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.28133869 +/- 0.0007 Geocenter to KBO 41.38498370 +/- 0.0009 # Hcoef: 6.98
The following table shows the complete astrometric record for 13SN112. 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 (13SN112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.33398 02 09 59.391 +02 56 30.06 23.5g 13SN112 W84 C~52RU 2013 11 13.19608 02 06 38.503 +02 39 33.14 22.8z 13SN112 W84 C~52RU 2014 10 03.33458 02 14 29.361 +03 33 42.00 22.7i 13SN112 W84 C~52RU 2014 11 16.14427 02 11 11.804 +03 17 40.80 24.4g 13SN112 W84 C~52RU 2014 11 28.15942 02 10 21.990 +03 15 03.53 23.3r 13SN112 W84 C~52RU 2014 12 25.09067 02 09 00.246 +03 13 33.25 23.0i 13SN112 W84 C~52RU 2015 01 15.04937 02 08 36.378 +03 16 57.07 22.6z 13SN112 W84 C~52RU 2015 12 18.09504 02 13 59.459 +03 51 42.88 23.1i 13SN112 W84 C~52RU 2016 01 10.05913 02 13 18.457 +03 53 48.44 23.5r 13SN112 W84 C~52RU 2016 09 10.37926 02 25 14.712 +04 59 22.79 23.5i 13SN112 W84 C~52RU 2016 09 10.38063 02 25 14.700 +04 59 22.92 23.5r 13SN112 W84 C~52RU 2016 09 10.38200 02 25 14.699 +04 59 22.67 24.3g 13SN112 W84 C~52RU 2016 09 10.39173 02 25 14.674 +04 59 22.57 22.2z 13SN112 W84 C~52RU 2016 10 29.20473 02 22 01.262 +04 40 23.15 22.7i 13SN112 W84 C~52RU 2016 10 29.20610 02 22 01.266 +04 40 23.09 23.0r 13SN112 W84 C~52RU 2024 11 24.272200 02 58 07.335 +09 33 14.37 23.3G 13SN112 G37 C~8SPE 2024 11 24.328330 02 58 07.057 +09 33 13.52 13SN112 G37 C~8SPE 2024 11 24.395400 02 58 06.764 +09 33 12.57 13SN112 G37 C~8SPE
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 -0.08 0.00 0.07 2 0.1228 0.00 -0.13 0.00 0.08 3 1.0103 0.00 0.06 0.00 0.31 4 1.1302 0.00 0.03 0.00 -0.11 5 1.1631 0.00 -0.06 0.00 0.00 6 1.2368 0.00 0.02 0.00 0.18 7 1.2942 0.00 0.02 0.00 -0.06 8 2.2170 0.00 -0.06 0.00 -0.01 9 2.2799 0.00 0.07 0.00 -0.02 10 2.9488 0.00 0.10 0.00 -0.16 11 2.9488 0.00 -0.02 0.00 -0.00 12 2.9488 0.00 0.02 0.00 -0.22 13 2.9488 0.00 0.04 0.00 -0.11 14 3.0825 0.00 -0.02 0.00 0.00 15 3.0825 0.00 0.14 0.00 -0.03 16 11.1538 0.00 0.05 0.00 0.06 17 11.1540 0.00 -0.20 0.00 0.02 18 11.1542 0.00 0.07 0.00 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.
13SN112 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.577 43.577 43.577 ecceobj 0.048 0.048 0.048 incobj 12.709 12.709 12.709 qmin 40.783 40.779 40.787 qmax 45.953 45.954 45.952 amean 43.272 43.272 43.272 amin 42.942 42.938 42.940 amax 43.615 43.615 43.614 emean 0.039 0.039 0.039 emin 0.026 0.026 0.026 emax 0.054 0.054 0.054 imean 10.990 10.990 10.990 imin 10.431 10.431 10.429 imax 11.574 11.574 11.574 excite_mean 0.195 0.195 0.195 fracstop 1.000 1.000 1.000 cjmean 3.048 3.048 3.048 libcent 0 214.8 206.0 -180.0 libamp 0 124.4 117.5 -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 180.1 180.1 179.8 kozaiamp 180.0 180.0 180.0