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: 13TE228 # Created Fri Nov 22 02:09:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 12 observations of 12 # Arc: 5.14y # First observation: 2013/10/04 # Last observation: 2018/11/26 # Chi-squared of fit: 3.18 DOF: 18 RMS: 0.09 # Min/Max residuals: -0.31 0.21 # Exact a, adot, b, bdot, g, gdot: 1.318092E-05 1.875154E-02 -4.203133E-07 -1.620375E-04 2.221352E-02 -3.920396E-04 # Covariance matrix: 4.8243E-13 -3.0611E-13 1.0492E-15 5.3919E-16 -8.7432E-14 -2.4395E-12 -3.0611E-13 1.7663E-12 -1.5222E-14 2.5338E-15 -4.5541E-13 2.2557E-11 1.0492E-15 -1.5222E-14 4.4095E-13 -1.1646E-13 8.1690E-15 -2.0048E-13 5.3919E-16 2.5338E-15 -1.1646E-13 4.2548E-14 -6.0894E-15 3.4840E-14 -8.7432E-14 -4.5541E-13 8.1690E-15 -6.0894E-15 1.0317E-12 -6.2423E-12 -2.4395E-12 2.2557E-11 -2.0048E-13 3.4840E-14 -6.2423E-12 2.9525E-10 # lat0 lon0 xBary yBary zBary JD0 -10.079578 4.783020 -0.105686 -0.173982 -0.979395 2456569.750808 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 188.23638 +/- 0.247 Argument of Peri: 81.26257 +/- 0.247 Long of Asc Node: 97.78091 +/- 0.004 Inclination: 9.87487 +/- 0.000 Eccentricity: 0.17107921 +/- 0.0003 Semi-Major Axis: 39.32087530 +/- 0.0070 Time of Perihelion: 2499540.1569 +/- 63.0 Perihelion: 32.59389121 +/- 0.0115 Aphelion: 46.04785938 +/- 0.0129 Period (y) 246.5716 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 45.15042518 +/- 0.0020 Ecliptic Y 3.88704061 +/- 0.0002 Ecliptic Z -7.87884935 +/- 0.0004 Ecliptic XDOT -0.00024977 +/- 0.0000 Ecliptic YDOT 0.00229748 +/- 0.0000 Ecliptic ZDOT -0.00001107 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.99725445 +/- 0.0020 Geocenter to KBO 45.01768722 +/- 0.0021 # Hcoef: 6.69
The following table shows the complete astrometric record for 13TE228. 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 (13TE228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.25003 00 33 36.779 -07 20 57.50 23.2r 13TE228 W84 C~52Rf 2013 10 04.25141 00 33 36.771 -07 20 57.62 22.9i 13TE228 W84 C~52Rf 2013 10 13.17223 00 32 59.520 -07 24 33.08 22.6z 13TE228 W84 C~52Rf 2016 08 31.26758 00 47 44.041 -05 48 46.83 22.7i 13TE228 W84 C~52Rf 2016 08 31.26898 00 47 44.039 -05 48 46.84 23.4r 13TE228 W84 C~52Rf 2016 08 31.27447 00 47 44.012 -05 48 47.33 24.4g 13TE228 W84 C~52Rf 2016 10 01.20950 00 45 43.928 -06 03 31.35 23.5r 13TE228 W84 C~52Rf 2017 09 18.33988 00 50 35.806 -05 31 43.13 24.0g 13TE228 W84 C~52Rf 2017 09 24.28144 00 50 11.736 -05 34 32.62 22.8i 13TE228 W84 C~52Rf 2017 09 25.31665 00 50 07.469 -05 35 01.47 23.3r 13TE228 W84 C~52Rf 2017 10 20.21124 00 48 23.296 -05 45 27.37 22.7z 13TE228 W84 C~52Rf 2018 11 26.09227 00 50 15.262 -05 27 43.65 23.3r 13TE228 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 0.01 0.00 0.07
2 0.0000 0.00 -0.02 0.00 -0.01
3 0.0244 0.00 -0.01 0.00 0.01
4 2.9076 0.00 0.04 0.00 -0.00
5 2.9076 0.00 0.08 0.00 0.03
6 2.9077 0.00 -0.04 0.00 -0.31
7 2.9924 0.00 0.00 0.00 0.01
8 3.9564 0.00 0.13 0.00 0.01
9 3.9727 0.00 -0.08 0.00 -0.02
10 3.9755 0.00 -0.05 0.00 0.21
11 4.0437 0.00 0.06 0.00 0.06
12 5.1440 0.00 -0.04 0.00 -0.03
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.
13TE228 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.501 39.501 39.501 ecceobj 0.165 0.165 0.165 incobj 9.877 9.877 9.877 qmin 31.669 31.668 31.670 qmax 47.802 47.810 47.799 amean 39.457 39.457 39.457 amin 38.998 38.997 39.000 amax 39.972 39.972 39.972 emean 0.179 0.179 0.179 emin 0.161 0.161 0.161 emax 0.197 0.197 0.197 imean 7.943 7.943 7.943 imin 7.392 7.392 7.393 imax 8.619 8.618 8.619 excite_mean 0.226 0.226 0.226 fracstop 1.000 1.000 1.000 cjmean 2.994 2.994 2.994 libcent 0 178.9 178.8 179.0 libamp 0 94.6 94.6 94.6 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 174.2 174.2 174.2 kozaiamp 180.0 180.0 180.0