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: 13TZ228 # Created Sat Apr 20 01:15:27 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 11 observations of 11 # Arc: 9.04y # First observation: 2013/10/13 # Last observation: 2022/10/29 # Chi-squared of fit: 4.01 DOF: 16 RMS: 0.11 # Min/Max residuals: -0.26 0.14 # Exact a, adot, b, bdot, g, gdot: 1.463887E-05 2.047401E-02 2.756937E-07 6.890383E-04 2.242656E-02 -4.159375E-04 # Covariance matrix: 4.6477E-13 -2.2796E-13 2.9554E-15 -6.2204E-15 3.3569E-13 -1.0254E-12 -2.2796E-13 2.0098E-13 -3.7053E-15 6.4003E-15 -2.6337E-13 1.0466E-12 2.9554E-15 -3.7053E-15 2.7663E-13 -4.3246E-14 -2.8063E-15 -2.0957E-14 -6.2204E-15 6.4003E-15 -4.3246E-14 1.3139E-14 -8.1424E-15 3.5653E-14 3.3569E-13 -2.6337E-13 -2.8063E-15 -8.1424E-15 1.2633E-12 -1.4281E-12 -1.0254E-12 1.0466E-12 -2.0957E-14 3.5653E-14 -1.4281E-12 5.8258E-12 # lat0 lon0 xBary yBary zBary JD0 -3.505036 5.985578 -0.235252 -0.059142 -0.967472 2456578.641138 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 206.24406 +/- 0.117 Argument of Peri: 95.22665 +/- 0.106 Long of Asc Node: 66.74774 +/- 0.004 Inclination: 3.94148 +/- 0.000 Eccentricity: 0.04111789 +/- 0.0002 Semi-Major Axis: 43.92423769 +/- 0.0092 Time of Perihelion: 2501991.9162 +/- 39.4 Perihelion: 42.11816574 +/- 0.0120 Aphelion: 45.73030964 +/- 0.0126 Period (y) 291.1150 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 45.20284211 +/- 0.0022 Ecliptic Y 4.97918378 +/- 0.0002 Ecliptic Z -2.72608792 +/- 0.0001 Ecliptic XDOT -0.00031210 +/- 0.0000 Ecliptic YDOT 0.00247966 +/- 0.0000 Ecliptic ZDOT 0.00008721 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.55789490 +/- 0.0022 Geocenter to KBO 44.59004892 +/- 0.0022 # Hcoef: 7.37
The following table shows the complete astrometric record for 13TZ228. 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 (13TZ228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.14036 00 27 31.693 -00 50 30.05 23.5i 13TZ228 W84 C~52Rg 2013 10 13.14173 00 27 31.694 -00 50 30.11 23.5z 13TZ228 W84 C~52Rg 2013 11 22.09251 00 25 19.498 -01 02 29.45 23.9r 13TZ228 W84 C~52Rg 2013 11 23.11061 00 25 17.297 -01 02 39.05 24.2r 13TZ228 W84 C~52Rg 2015 10 17.15829 00 35 46.618 +00 08 04.96 23.7r 13TZ228 W84 C~52Rg 2017 08 22.33147 00 47 47.006 +01 31 05.83 24.5g 13TZ228 W84 C~52Rg 2017 09 18.25390 00 46 13.531 +01 20 22.65 23.7r 13TZ228 W84 C~52Rg 2017 10 20.16215 00 44 01.694 +01 06 42.02 24.2r 13TZ228 W84 C~52Rg 2017 10 20.16352 00 44 01.696 +01 06 41.93 23.9i 13TZ228 W84 C~52Rg 2022 10 29.319490 01 04 48.316 +03 33 31.15 23.5G 13TZ228 G37 C~5z0W 2022 10 29.358090 01 04 48.166 +03 33 30.14 13TZ228 G37 C~5z0W
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 -0.06 0.00 0.02
2 0.0000 0.00 0.04 0.00 -0.00
3 0.1094 0.00 -0.23 0.00 0.13
4 0.1122 0.00 0.12 0.00 0.08
5 2.0096 0.00 0.08 0.00 -0.06
6 3.8582 0.00 0.14 0.00 -0.26
7 3.9319 0.00 -0.05 0.00 -0.03
8 4.0192 0.00 -0.03 0.00 0.02
9 4.0192 0.00 0.08 0.00 -0.04
10 9.0436 0.00 -0.09 0.00 0.14
11 9.0437 0.00 0.00 0.00 0.00
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.
13TZ228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.171 44.171 44.171 ecceobj 0.035 0.035 0.035 incobj 3.941 3.941 3.941 qmin 41.229 41.224 41.220 qmax 46.887 46.890 46.883 amean 43.953 43.952 43.953 amin 43.608 43.608 43.608 amax 44.303 44.303 44.303 emean 0.043 0.043 0.043 emin 0.026 0.026 0.026 emax 0.059 0.059 0.059 imean 2.490 2.490 2.490 imin 1.746 1.746 1.747 imax 3.106 3.106 3.106 excite_mean 0.061 0.061 0.061 fracstop 1.000 1.000 1.000 cjmean 3.096 3.096 3.096 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 176.9 176.8 176.8 kozaiamp 180.0 180.0 180.0