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: 13TF228 # Created Sat Apr 20 01:15:25 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 15 observations of 15 # Arc: 9.07y # First observation: 2013/10/04 # Last observation: 2022/10/29 # Chi-squared of fit: 19.51 DOF: 24 RMS: 0.20 # Min/Max residuals: -0.47 0.44 # Exact a, adot, b, bdot, g, gdot: 1.420826E-05 2.482078E-02 -2.272017E-06 -3.661155E-03 2.533722E-02 -2.183192E-03 # Covariance matrix: 2.7817E-13 -8.4888E-14 -8.3099E-15 9.9830E-15 1.3334E-13 -2.7019E-13 -8.4888E-14 1.6026E-13 2.2458E-14 -2.0715E-14 4.0880E-13 6.0752E-13 -8.3099E-15 2.2458E-14 1.9586E-13 -3.2047E-14 6.0409E-14 8.9991E-14 9.9830E-15 -2.0715E-14 -3.2047E-14 1.1525E-14 -4.5595E-14 -8.4655E-14 1.3334E-13 4.0880E-13 6.0409E-14 -4.5595E-14 2.3431E-12 1.4358E-12 -2.7019E-13 6.0752E-13 8.9991E-14 -8.4655E-14 1.4358E-12 2.4667E-12 # lat0 lon0 xBary yBary zBary JD0 -20.370984 34.971453 0.408674 -0.317718 -0.855971 2456569.761268 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 282.34139 +/- 0.073 Argument of Peri: 336.70055 +/- 0.091 Long of Asc Node: 148.29602 +/- 0.001 Inclination: 21.62590 +/- 0.000 Eccentricity: 0.10033922 +/- 0.0001 Semi-Major Axis: 40.80037198 +/- 0.0093 Time of Perihelion: 2477104.8854 +/- 32.1 Perihelion: 36.70649461 +/- 0.0089 Aphelion: 44.89424935 +/- 0.0107 Period (y) 260.6180 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.30021827 +/- 0.0018 Ecliptic Y 21.39812355 +/- 0.0013 Ecliptic Z -13.73869578 +/- 0.0008 Ecliptic XDOT -0.00183750 +/- 0.0000 Ecliptic YDOT 0.00199071 +/- 0.0000 Ecliptic ZDOT -0.00028861 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.32790712 +/- 0.0016 Geocenter to KBO 39.46772210 +/- 0.0024 # Hcoef: 7.55
The following table shows the complete astrometric record for 13TF228. 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 (13TF228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.26049 02 37 40.814 -06 03 50.32 24.6g 13TF228 W84 C~52Rf 2013 10 04.27024 02 37 40.749 -06 03 50.76 23.5r 13TF228 W84 C~52Rf 2013 10 04.27163 02 37 40.760 -06 03 50.89 23.2i 13TF228 W84 C~52Rf 2013 10 11.24554 02 37 11.380 -06 07 55.27 23.5r 13TF228 W84 C~52Rf 2013 10 11.25080 02 37 11.368 -06 07 55.23 23.2i 13TF228 W84 C~52Rf 2014 10 28.27279 02 41 36.081 -06 00 23.82 23.6r 13TF228 W84 C~52Rf 2016 09 24.31164 02 55 22.989 -05 08 35.58 23.6r 13TF228 W84 C~52Rf 2016 11 03.19992 02 52 32.430 -05 30 11.45 24.0r 13TF228 W84 C~52Rf 2016 11 10.28263 02 51 57.570 -05 32 47.19 23.3i 13TF228 W84 C~52Rf 2016 11 29.20960 02 50 27.572 -05 37 04.91 23.6r 13TF228 W84 C~52Rf 2017 10 29.31585 02 58 42.925 -05 11 06.47 23.0i 13TF228 W84 C~52Rf 2017 11 01.21074 02 58 28.841 -05 12 22.59 22.7z 13TF228 W84 C~52Rf 2022 10 29.374700 03 27 54.737 -03 42 07.68 23.4G 13TF228 G37 C~5z0W 2022 10 29.422610 03 27 54.538 -03 42 08.70 13TF228 G37 C~5z0W 2022 10 29.470990 03 27 54.334 -03 42 10.43 13TF228 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 0.25 0.00 0.08
2 0.0000 0.00 -0.12 0.00 -0.00
3 0.0000 0.00 0.13 0.00 -0.08
4 0.0191 0.00 -0.35 0.00 0.09
5 0.0191 0.00 -0.18 0.00 0.31
6 1.0651 0.00 0.26 0.00 -0.21
7 2.9734 0.00 0.06 0.00 0.08
8 3.0827 0.00 0.03 0.00 -0.30
9 3.1020 0.00 0.01 0.00 -0.11
10 3.1539 0.00 0.12 0.00 0.14
11 4.0686 0.00 0.04 0.00 -0.04
12 4.0765 0.00 -0.22 0.00 -0.05
13 9.0681 0.00 -0.47 0.00 -0.04
14 9.0682 0.00 0.01 0.00 0.27
15 9.0683 0.00 0.44 0.00 -0.11
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.
13TF228 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.974 40.974 40.974 ecceobj 0.097 0.097 0.097 incobj 21.593 21.593 21.593 qmin 35.986 35.987 35.986 qmax 45.709 45.709 45.710 amean 40.698 40.698 40.698 amin 40.364 40.364 40.360 amax 41.044 41.044 41.044 emean 0.090 0.090 0.090 emin 0.063 0.063 0.063 emax 0.114 0.114 0.114 imean 20.783 20.783 20.785 imin 20.052 20.054 20.059 imax 21.366 21.368 21.365 excite_mean 0.366 0.366 0.366 fracstop 1.000 1.000 1.000 cjmean 2.906 2.906 2.906 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 182.1 182.1 181.4 kozaiamp 180.0 180.0 180.0