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: 13TQ228 # Created Sun Dec 22 02:09:46 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 10 observations of 10 # Arc: 5.12y # First observation: 2013/10/13 # Last observation: 2018/11/26 # Chi-squared of fit: 3.11 DOF: 14 RMS: 0.10 # Min/Max residuals: -0.18 0.19 # Exact a, adot, b, bdot, g, gdot: 1.605114E-05 2.683851E-02 1.903552E-06 2.514861E-03 2.614291E-02 3.615416E-03 # Covariance matrix: 4.1316E-13 -2.7716E-13 5.8274E-15 -1.7599E-14 1.1730E-13 -1.5298E-12 -2.7716E-13 6.7364E-13 -2.1206E-14 6.0897E-14 -1.3100E-13 5.2802E-12 5.8274E-15 -2.1206E-14 3.4714E-13 -9.1568E-14 1.1406E-15 -1.7841E-13 -1.7599E-14 6.0897E-14 -9.1568E-14 4.6634E-14 -9.3774E-15 5.0954E-13 1.1730E-13 -1.3100E-13 1.1406E-15 -9.3774E-15 5.8092E-13 -8.4034E-13 -1.5298E-12 5.2802E-12 -1.7841E-13 5.0954E-13 -8.4034E-13 4.4168E-11 # lat0 lon0 xBary yBary zBary JD0 -1.167971 3.798065 -0.271581 -0.019450 -0.959543 2456578.611408 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 53.94082 +/- 0.028 Argument of Peri: 277.96590 +/- 0.032 Long of Asc Node: 16.15450 +/- 0.001 Inclination: 5.48399 +/- 0.000 Eccentricity: 0.15589057 +/- 0.0003 Semi-Major Axis: 42.32820505 +/- 0.0089 Time of Perihelion: 2441506.9389 +/- 9.1 Perihelion: 35.72963708 +/- 0.0140 Aphelion: 48.92677301 +/- 0.0156 Period (y) 275.3931 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.09845336 +/- 0.0011 Ecliptic Y 2.87084510 +/- 0.0001 Ecliptic Z -0.77965460 +/- 0.0000 Ecliptic XDOT 0.00019073 +/- 0.0000 Ecliptic YDOT 0.00282851 +/- 0.0000 Ecliptic ZDOT 0.00025574 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.21137460 +/- 0.0011 Geocenter to KBO 38.25124378 +/- 0.0011 # Hcoef: 7.58
The following table shows the complete astrometric record for 13TQ228. 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 (13TQ228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.11063 00 15 47.804 +00 26 16.26 23.6i 13TQ228 W84 C~52Rf 2013 11 08.16530 00 14 02.963 +00 16 02.95 23.8r 13TQ228 W84 C~52Rf 2013 11 08.16667 00 14 02.946 +00 16 02.76 23.1i 13TQ228 W84 C~52Rf 2013 11 22.08554 00 13 24.201 +00 12 34.05 23.7r 13TQ228 W84 C~52Rf 2016 08 14.25505 00 36 02.675 +03 03 50.13 22.5z 13TQ228 W84 C~52Rf 2016 09 09.32469 00 34 27.019 +02 53 58.82 23.5i 13TQ228 W84 C~52Rf 2016 09 09.32608 00 34 27.014 +02 53 58.57 23.8r 13TQ228 W84 C~52Rf 2016 11 18.10069 00 29 28.879 +02 24 10.62 23.7r 13TQ228 W84 C~52Rf 2018 10 10.23897 00 42 37.460 +04 05 25.21 23.2i 13TQ228 W84 C~52Rf 2018 11 26.06693 00 39 35.313 +03 47 33.68 23.2r 13TQ228 W84 C~52Rf
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 0.07 0.00 -0.06
2 0.0713 0.00 0.03 0.00 0.07
3 0.0713 0.00 -0.15 0.00 -0.10
4 0.1094 0.00 0.14 0.00 -0.06
5 2.8368 0.00 -0.06 0.00 0.10
6 2.9082 0.00 -0.02 0.00 0.19
7 2.9082 0.00 -0.00 0.00 -0.02
8 3.0992 0.00 -0.09 0.00 0.10
9 4.9915 0.00 0.02 0.00 -0.02
10 5.1197 0.00 0.10 0.00 -0.18
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.
13TQ228 quality flag:3 Type: 5:3EE 5:3EE 5:3EE axisobj 42.586 42.586 42.586 ecceobj 0.160 0.160 0.160 incobj 5.470 5.470 5.470 qmin 34.928 34.927 34.930 qmax 50.000 49.989 50.012 amean 42.328 42.328 42.328 amin 41.936 41.937 41.936 amax 42.777 42.778 42.776 emean 0.155 0.155 0.155 emin 0.137 0.137 0.137 emax 0.172 0.172 0.172 imean 5.614 5.614 5.614 imin 4.903 4.903 4.903 imax 6.390 6.391 6.388 excite_mean 0.184 0.184 0.184 fracstop 1.000 1.000 1.000 cjmean 3.042 3.042 3.042 libcent 0 181.2 181.3 180.7 libamp 0 61.8 61.4 61.8 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 181.3 181.4 181.3 kozaiamp 180.0 180.0 180.0