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: 13SG112 # Created Sat Apr 20 01:15:10 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 4.94y # First observation: 2013/09/29 # Last observation: 2018/09/09 Preliminary a, adot, b, bdot, g, gdot: 0.000328 0.029286 -0.000017 0.001530 0.027756 0.000000 # Chi-squared of fit: 2.31 DOF: 10 RMS: 0.09 # Min/Max residuals: -0.16 0.24 # Exact a, adot, b, bdot, g, gdot: 1.798014E-05 2.956035E-02 1.118023E-06 1.539101E-03 2.719109E-02 2.074717E-03 # Covariance matrix: 7.2795E-13 -2.4236E-13 -6.7832E-15 -9.1168E-16 5.1524E-13 -3.3383E-13 -2.4236E-13 5.0971E-13 -8.6018E-15 2.4154E-14 1.1907E-13 3.5754E-12 -6.7832E-15 -8.6018E-15 4.8344E-13 -1.3050E-13 -2.4648E-14 -9.0679E-14 -9.1168E-16 2.4154E-14 -1.3050E-13 5.8177E-14 1.9121E-14 2.0366E-13 5.1524E-13 1.1907E-13 -2.4648E-14 1.9121E-14 1.3986E-12 2.3312E-12 -3.3383E-13 3.5754E-12 -9.0679E-14 2.0366E-13 2.3312E-12 2.9638E-11 # lat0 lon0 xBary yBary zBary JD0 -2.935511 -1.121310 -0.122509 -0.050821 -0.993114 2456564.723338 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 23.04387 +/- 0.049 Argument of Peri: 284.71640 +/- 0.071 Long of Asc Node: 42.80337 +/- 0.004 Inclination: 4.13081 +/- 0.000 Eccentricity: 0.15497636 +/- 0.0002 Semi-Major Axis: 43.81412701 +/- 0.0093 Time of Perihelion: 2449779.8297 +/- 14.3 Perihelion: 37.02397321 +/- 0.0108 Aphelion: 50.60428082 +/- 0.0131 Period (y) 290.0210 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.71768565 +/- 0.0016 Ecliptic Y -0.61261724 +/- 0.0001 Ecliptic Z -1.88339257 +/- 0.0001 Ecliptic XDOT 0.00026860 +/- 0.0000 Ecliptic YDOT 0.00297028 +/- 0.0000 Ecliptic ZDOT 0.00014421 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.76964757 +/- 0.0016 Geocenter to KBO 36.77675106 +/- 0.0016 # Hcoef: 8.15
The following table shows the complete astrometric record for 13SG112. 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 (13SG112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.22256 00 00 33.603 -03 08 20.72 23.8r 13SG112 W84 C~52RU 2013 11 08.15222 23 57 47.234 -03 24 05.76 24.3r 13SG112 W84 C~52RU 2013 11 23.10292 23 57 11.042 -03 26 41.92 23.7i 13SG112 W84 C~52RU 2016 09 10.33231 00 20 06.911 -00 43 32.40 23.7i 13SG112 W84 C~52RU 2016 09 10.33370 00 20 06.911 -00 43 32.25 23.8r 13SG112 W84 C~52RU 2016 11 26.11692 00 14 55.138 -01 13 44.68 23.6i 13SG112 W84 C~52RU 2017 09 27.21439 00 24 44.805 -00 07 13.99 23.1i 13SG112 W84 C~52RU 2018 09 09.32865 00 32 05.404 +00 46 23.84 24.2r 13SG112 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 -0.16 0.00 -0.05
2 0.1093 -2661.91 0.24 124.61 0.07
3 0.1503 -3221.35 -0.09 196.79 0.03
4 2.9490 19654.46 -0.03 932.74 -0.12
5 2.9490 19654.52 0.14 932.88 0.01
6 3.1592 14609.36 -0.05 1145.80 -0.02
7 3.9945 24400.34 -0.06 1260.00 0.03
8 4.9448 31882.65 0.01 1563.74 0.05
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.
13SG112 quality flag:2 Type: SCATNEAR SCATNEAR 7:4EEE axisobj 44.086 44.115 44.057 ecceobj 0.161 0.161 0.160 incobj 4.128 4.128 4.128 qmin 35.369 35.470 36.505 qmax 52.835 52.290 51.490 amean 43.726 43.608 43.726 amin 43.190 43.196 43.266 amax 44.304 44.265 44.239 emean 0.167 0.134 0.152 emin 0.141 0.096 0.140 emax 0.193 0.184 0.164 imean 2.955 3.377 2.789 imin 1.998 1.882 1.748 imax 3.892 4.244 3.847 excite_mean 0.175 0.146 0.160 fracstop 1.000 1.000 1.000 cjmean 3.060 3.070 3.067 libcent 0 -180.0 -180.0 182.0 libamp 0 -180.0 -180.0 136.5 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 181.9 179.8 210.9 kozaiamp 180.0 180.0 179.9