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: 13TE229 # Created Fri Nov 22 02:09:45 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 13 observations of 13 # Arc: 6.13y # First observation: 2013/10/13 # Last observation: 2019/11/28 # Chi-squared of fit: 6.69 DOF: 20 RMS: 0.13 # Min/Max residuals: -0.18 0.26 # Exact a, adot, b, bdot, g, gdot: 1.966935E-05 3.923694E-02 -5.910617E-07 -1.381683E-03 3.237519E-02 2.629859E-03 # Covariance matrix: 6.3280E-13 -5.1581E-13 -1.2820E-14 1.4989E-14 2.8490E-13 -2.0335E-12 -5.1581E-13 6.6520E-13 1.6755E-14 -2.1503E-14 -2.5483E-13 2.8776E-12 -1.2820E-14 1.6755E-14 2.8851E-13 -6.2180E-14 -1.0950E-14 7.5025E-14 1.4989E-14 -2.1503E-14 -6.2180E-14 2.2606E-14 7.6788E-15 -9.6172E-14 2.8490E-13 -2.5483E-13 -1.0950E-14 7.6788E-15 5.5810E-13 -1.1479E-12 -2.0335E-12 2.8776E-12 7.5025E-14 -9.6172E-14 -1.1479E-12 1.2872E-11 # lat0 lon0 xBary yBary zBary JD0 -3.528058 8.642293 -0.190237 -0.060135 -0.977257 2456578.650868 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 15.96409 +/- 0.013 Argument of Peri: 215.19330 +/- 0.021 Long of Asc Node: 129.44186 +/- 0.003 Inclination: 3.96535 +/- 0.000 Eccentricity: 0.20401031 +/- 0.0001 Semi-Major Axis: 39.42610674 +/- 0.0068 Time of Perihelion: 2452568.7617 +/- 3.4 Perihelion: 31.38277452 +/- 0.0077 Aphelion: 47.46943896 +/- 0.0098 Period (y) 247.5620 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.41808485 +/- 0.0007 Ecliptic Y 4.97080249 +/- 0.0001 Ecliptic Z -1.90080905 +/- 0.0000 Ecliptic XDOT -0.00029242 +/- 0.0000 Ecliptic YDOT 0.00331128 +/- 0.0000 Ecliptic ZDOT -0.00013017 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.86558232 +/- 0.0007 Geocenter to KBO 30.88785495 +/- 0.0007 # Hcoef: 9.05
The following table shows the complete astrometric record for 13TE229. 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 (13TE229) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.15009 00 37 18.681 +00 10 59.92 23.8i 13TE229 W84 C~52Rg 2013 11 23.12179 00 34 13.199 -00 06 39.68 23.7r 13TE229 W84 C~52Rg 2013 11 23.12459 00 34 13.184 -00 06 39.87 23.5i 13TE229 W84 C~52Rg 2014 10 29.22180 00 44 15.450 +00 50 51.76 23.4i 13TE229 W84 C~52Rg 2014 11 13.13256 00 43 06.783 +00 44 26.01 23.7r 13TE229 W84 C~52Rg 2014 11 14.13269 00 43 02.733 +00 44 04.58 23.9r 13TE229 W84 C~52Rg 2016 10 29.18898 01 00 45.540 +02 26 08.91 23.3i 13TE229 W84 C~52Rg 2017 08 22.41286 01 14 35.980 +03 50 34.29 23.3i 13TE229 W84 C~52Rg 2017 09 14.32368 01 13 03.979 +03 39 09.43 24.0r 13TE229 W84 C~52Rg 2017 09 14.32506 01 13 03.978 +03 39 09.44 23.8i 13TE229 W84 C~52Rg 2019 11 28.23624 01 22 54.78 +04 33 18.4 25.2g 13TE229 T09 C~8GzL 2019 11 28.31864 01 22 54.47 +04 33 17.2 25.9g 13TE229 T09 C~8GzL 2019 11 28.38203 01 22 54.24 +04 33 15.7 26.0g 13TE229 T09 C~8GzL
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 -0.09 0.00 -0.06 2 0.1122 0.00 0.06 0.00 0.15 3 0.1122 0.00 -0.03 0.00 -0.01 4 1.0433 0.00 -0.18 0.00 -0.14 5 1.0841 0.00 0.18 0.00 0.06 6 1.0869 0.00 0.08 0.00 0.06 7 3.0446 0.00 -0.15 0.00 0.14 8 3.8584 0.00 0.16 0.00 -0.05 9 3.9211 0.00 0.00 0.00 -0.17 10 3.9211 0.00 0.09 0.00 -0.11 11 6.1248 0.00 -0.18 0.00 0.04 12 6.1250 0.00 -0.06 0.00 0.26 13 6.1252 0.00 0.16 0.00 -0.15
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.
13TE229 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.669 39.704 39.634 ecceobj 0.210 0.210 0.209 incobj 3.961 3.961 3.962 qmin 30.821 30.831 30.817 qmax 48.863 48.889 48.854 amean 39.457 39.457 39.457 amin 38.911 38.921 38.927 amax 40.055 40.063 40.052 emean 0.203 0.203 0.203 emin 0.187 0.186 0.187 emax 0.220 0.220 0.221 imean 2.905 2.965 3.066 imin 2.261 2.257 2.278 imax 3.514 3.589 3.722 excite_mean 0.209 0.209 0.210 fracstop 1.000 1.000 1.000 cjmean 3.002 3.002 3.001 libcent 0 180.1 179.7 179.6 libamp 0 123.8 123.5 124.0 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 162.7 169.0 166.0 kozaiamp 180.0 179.9 180.0