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: 13SM112 # Created Wed May 8 01:15:15 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 4.96y # First observation: 2013/09/29 # Last observation: 2018/09/14 Preliminary a, adot, b, bdot, g, gdot: 0.000030 0.019050 -0.000003 0.000013 0.021731 0.000000 # Chi-squared of fit: 7.33 DOF: 18 RMS: 0.14 # Min/Max residuals: -0.25 0.36 # Exact a, adot, b, bdot, g, gdot: 1.352233E-05 1.904354E-02 -1.711432E-06 1.378471E-05 2.160144E-02 -3.221898E-04 # Covariance matrix: 4.1638E-13 1.5905E-14 -2.0750E-15 8.2921E-17 4.2100E-13 1.6495E-12 1.5905E-14 5.4941E-13 -2.6762E-15 9.0536E-16 6.0501E-13 6.9189E-12 -2.0750E-15 -2.6762E-15 2.9347E-13 -7.5186E-14 -7.8490E-15 -4.2294E-14 8.2921E-17 9.0536E-16 -7.5186E-14 3.3073E-14 8.3505E-16 1.1824E-14 4.2100E-13 6.0501E-13 -7.8490E-15 8.3505E-16 1.6330E-12 9.3684E-12 1.6495E-12 6.9189E-12 -4.2294E-14 1.1824E-14 9.3684E-12 9.4435E-11 # lat0 lon0 xBary yBary zBary JD0 -2.773527 8.475147 0.044883 -0.048328 -0.999757 2456564.729018 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 197.61964 +/- 0.384 Argument of Peri: 75.42707 +/- 0.379 Long of Asc Node: 97.65842 +/- 0.012 Inclination: 2.71522 +/- 0.000 Eccentricity: 0.07182666 +/- 0.0001 Semi-Major Axis: 44.24531754 +/- 0.0082 Time of Perihelion: 2505048.0687 +/- 113.7 Perihelion: 41.06732420 +/- 0.0097 Aphelion: 47.42331087 +/- 0.0107 Period (y) 294.3128 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.73014481 +/- 0.0027 Ecliptic Y 6.92090776 +/- 0.0004 Ecliptic Z -2.24015368 +/- 0.0001 Ecliptic XDOT -0.00040215 +/- 0.0000 Ecliptic YDOT 0.00237997 +/- 0.0000 Ecliptic ZDOT 0.00000386 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.29295600 +/- 0.0027 Geocenter to KBO 46.29320477 +/- 0.0027 # Hcoef: 6.86
The following table shows the complete astrometric record for 13SM112. 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 (13SM112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.22824 00 35 30.618 +00 48 40.91 23.6r 13SM112 W84 C~52RU 2013 09 29.22965 00 35 30.617 +00 48 40.39 22.9i 13SM112 W84 C~52RU 2013 10 13.11779 00 34 34.834 +00 42 47.61 23.3z 13SM112 W84 C~52RU 2013 11 08.17535 00 33 01.048 +00 33 30.13 23.8r 13SM112 W84 C~52RU 2013 11 08.17673 00 33 01.042 +00 33 30.04 23.5i 13SM112 W84 C~52RU 2016 11 06.16329 00 45 05.301 +01 50 58.83 23.2z 13SM112 W84 C~52RU 2016 11 25.06487 00 44 11.507 +01 46 08.77 23.8r 13SM112 W84 C~52RU 2017 08 28.27714 00 53 28.665 +02 44 26.91 23.3i 13SM112 W84 C~52RU 2017 08 28.27853 00 53 28.639 +02 44 26.79 23.7r 13SM112 W84 C~52RU 2017 08 28.27990 00 53 28.630 +02 44 26.42 23.6g 13SM112 W84 C~52RU 2017 09 27.22811 00 51 41.571 +02 32 28.07 23.5r 13SM112 W84 C~52RU 2018 09 14.33742 00 56 33.503 +03 03 38.48 23.8r 13SM112 W84 C~52RU
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 0.09 0.00 0.36
2 0.0000 -0.22 -0.04 -0.47 -0.12
3 0.0380 -908.22 -0.05 4.44 -0.15
4 0.1094 -2420.90 0.03 45.57 -0.03
5 0.1094 -2421.02 -0.02 45.52 -0.08
6 3.1045 9399.91 -0.07 49.53 0.13
7 3.1563 8542.66 0.10 99.47 0.00
8 3.9125 17634.27 0.32 43.95 -0.01
9 3.9125 17633.86 -0.02 44.00 0.03
10 3.9125 17633.59 -0.22 43.71 -0.25
11 3.9945 15864.63 -0.12 10.44 0.10
12 4.9585 20659.00 0.02 21.31 0.02
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.
13SM112 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.484 44.508 44.460 ecceobj 0.066 0.065 0.066 incobj 2.716 2.716 2.716 qmin 40.242 40.291 40.224 qmax 48.523 48.511 48.468 amean 44.264 44.288 44.240 amin 43.906 43.935 43.890 amax 44.639 44.662 44.618 emean 0.071 0.071 0.072 emin 0.055 0.055 0.056 emax 0.087 0.087 0.087 imean 1.091 1.088 1.094 imin 0.392 0.399 0.384 imax 1.664 1.658 1.670 excite_mean 0.074 0.074 0.074 fracstop 1.000 1.000 1.000 cjmean 3.098 3.098 3.098 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 192.6 193.0 192.5 kozaiamp 180.0 180.0 180.0