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: 13TU228 # Created Tue Apr 1 01:09:49 2025 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 4.91y # First observation: 2013/10/13 # Last observation: 2018/09/09 Preliminary a, adot, b, bdot, g, gdot: -0.000130 0.018285 0.000003 -0.000770 0.021132 0.000000 # Chi-squared of fit: 3.02 DOF: 16 RMS: 0.09 # Min/Max residuals: -0.23 0.24 # Exact a, adot, b, bdot, g, gdot: 1.364424E-05 1.823308E-02 -2.085097E-07 -7.678169E-04 2.098094E-02 -1.808948E-04 # Covariance matrix: 5.9419E-13 -3.6053E-13 -3.9935E-15 9.1763E-15 -1.9890E-13 -2.7385E-12 -3.6053E-13 4.3985E-13 7.3446E-15 -1.5249E-14 2.0416E-13 4.5158E-12 -3.9935E-15 7.3446E-15 4.4043E-13 -1.2596E-13 1.0103E-15 8.5135E-14 9.1763E-15 -1.5249E-14 -1.2596E-13 5.2128E-14 -7.7223E-15 -1.7730E-13 -1.9890E-13 2.0416E-13 1.0103E-15 -7.7223E-15 5.8674E-13 2.4206E-12 -2.7385E-12 4.5158E-12 8.5135E-14 -1.7730E-13 2.4206E-12 5.2520E-11 # lat0 lon0 xBary yBary zBary JD0 -1.501552 5.233699 -0.247596 -0.025205 -0.965875 2456578.620048 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 186.55917 +/- 0.305 Argument of Peri: 25.73025 +/- 0.304 Long of Asc Node: 154.07954 +/- 0.008 Inclination: 2.81916 +/- 0.001 Eccentricity: 0.06899736 +/- 0.0001 Semi-Major Axis: 45.50685018 +/- 0.0055 Time of Perihelion: 2510591.4772 +/- 94.6 Perihelion: 42.36699775 +/- 0.0071 Aphelion: 48.64670260 +/- 0.0076 Period (y) 306.9894 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 48.38634296 +/- 0.0017 Ecliptic Y 4.68395694 +/- 0.0002 Ecliptic Z -1.24898632 +/- 0.0001 Ecliptic XDOT -0.00024931 +/- 0.0000 Ecliptic YDOT 0.00236552 +/- 0.0000 Ecliptic ZDOT -0.00009940 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 48.62856778 +/- 0.0017 Geocenter to KBO 47.66231388 +/- 0.0017 # Hcoef: 6.87
The following table shows the complete astrometric record for 13TU228. 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 (13TU228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.11927 00 21 35.786 +00 42 02.76 24.0i 13TU228 W84 C~52Rg 2013 11 23.09414 00 19 32.488 +00 29 15.81 23.6i 13TU228 W84 C~52Rg 2014 08 18.30926 00 28 50.882 +01 26 53.90 23.1z 13TU228 W84 C~52Rg 2014 08 18.31064 00 28 50.863 +01 26 54.02 23.2i 13TU228 W84 C~52Rg 2016 09 09.32608 00 35 26.862 +02 03 10.37 23.6r 13TU228 W84 C~52Rg 2016 10 02.18440 00 33 59.939 +01 53 33.34 23.0i 13TU228 W84 C~52Rg 2016 11 18.11310 00 31 19.707 +01 36 47.42 24.1r 13TU228 W84 C~52Rg 2016 11 30.08866 00 30 55.192 +01 34 26.92 23.2i 13TU228 W84 C~52Rg 2017 09 27.20200 00 38 14.869 +02 18 04.36 24.0r 13TU228 W84 C~52Rg 2017 09 27.20337 00 38 14.868 +02 18 04.26 23.9i 13TU228 W84 C~52Rg 2018 09 09.24289 00 43 17.527 +02 47 51.17 23.2z 13TU228 W84 C~52Rg
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 0.02 0.00 -0.08
2 0.1122 -2001.95 -0.00 28.52 0.24
3 0.8465 7060.27 0.07 -112.19 -0.23
4 0.8465 7060.05 -0.08 -111.97 -0.01
5 2.9082 13390.03 -0.03 -460.05 0.17
6 2.9707 11959.61 0.01 -475.50 -0.05
7 3.0992 9348.29 0.01 -449.95 -0.06
8 3.1320 8954.33 -0.05 -433.63 0.01
9 3.9564 16070.39 0.03 -633.05 0.08
10 3.9564 16070.34 0.07 -633.13 -0.00
11 4.9066 20982.48 -0.04 -778.83 -0.06
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.
13TU228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.761 45.778 45.745 ecceobj 0.063 0.062 0.063 incobj 2.811 2.811 2.811 qmin 41.666 41.693 41.640 qmax 49.574 49.665 49.630 amean 45.542 45.559 45.526 amin 45.177 45.195 45.160 amax 45.916 45.941 45.913 emean 0.067 0.067 0.068 emin 0.055 0.054 0.055 emax 0.080 0.081 0.081 imean 2.453 2.452 2.454 imin 1.981 1.981 1.981 imax 2.885 2.880 2.888 excite_mean 0.080 0.080 0.080 fracstop 1.000 1.000 1.000 cjmean 3.113 3.113 3.112 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 177.4 177.9 177.1 kozaiamp 180.0 180.0 180.0