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: 13TS229 # Created Tue Apr 1 01:09:50 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 11 observations of 11 # Arc: 5.04y # First observation: 2013/10/04 # Last observation: 2018/10/18 # Chi-squared of fit: 2.43 DOF: 16 RMS: 0.08 # Min/Max residuals: -0.17 0.19 # Exact a, adot, b, bdot, g, gdot: 1.485333E-05 2.163950E-02 -9.776232E-07 2.931399E-05 2.304622E-02 -1.598048E-03 # Covariance matrix: 5.5061E-13 -1.9993E-13 -1.2854E-15 7.3265E-17 3.2070E-13 -7.1751E-13 -1.9993E-13 4.7879E-13 -1.1468E-15 8.5408E-16 2.9346E-13 4.4752E-12 -1.2854E-15 -1.1468E-15 4.0076E-13 -9.9830E-14 -5.4671E-15 -1.5228E-14 7.3265E-17 8.5408E-16 -9.9830E-14 3.7147E-14 1.3800E-15 9.2774E-15 3.2070E-13 2.9346E-13 -5.4671E-15 1.3800E-15 1.3739E-12 3.8775E-12 -7.1751E-13 4.4752E-12 -1.5228E-14 9.2774E-15 3.8775E-12 4.6040E-11 # lat0 lon0 xBary yBary zBary JD0 -1.193194 5.784848 -0.086622 -0.020648 -0.996388 2456569.655188 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 271.55436 +/- 0.143 Argument of Peri: 10.96419 +/- 0.118 Long of Asc Node: 91.86886 +/- 0.025 Inclination: 1.16939 +/- 0.000 Eccentricity: 0.07415522 +/- 0.0003 Semi-Major Axis: 44.23325972 +/- 0.0089 Time of Perihelion: 2482970.0058 +/- 49.3 Perihelion: 40.95313267 +/- 0.0160 Aphelion: 47.51338677 +/- 0.0167 Period (y) 294.1925 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.14301524 +/- 0.0022 Ecliptic Y 4.56228883 +/- 0.0002 Ecliptic Z -0.90362695 +/- 0.0001 Ecliptic XDOT -0.00045405 +/- 0.0000 Ecliptic YDOT 0.00253715 +/- 0.0000 Ecliptic ZDOT 0.00000757 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.38739742 +/- 0.0022 Geocenter to KBO 43.39114600 +/- 0.0022 # Hcoef: 7.16
The following table shows the complete astrometric record for 13TS229. 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 (13TS229) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.15441 00 23 07.922 +01 12 07.59 24.7g 13TS229 W84 C~55Nw 2013 10 13.11927 00 22 30.434 +01 08 08.19 23.8i 13TS229 W84 C~55Nw 2013 11 22.07399 00 20 18.541 +00 54 37.22 23.2i 13TS229 W84 C~55Nw 2014 11 14.10274 00 25 09.782 +01 25 54.84 22.8z 13TS229 W84 C~55Nw 2016 09 09.31362 00 38 32.482 +02 51 48.43 23.4i 13TS229 W84 C~55Nw 2016 11 18.10069 00 34 02.031 +02 23 26.27 24.2r 13TS229 W84 C~55Nw 2017 09 27.26238 00 41 56.122 +03 13 34.71 23.6i 13TS229 W84 C~55Nw 2017 09 27.26376 00 41 56.116 +03 13 34.55 23.5r 13TS229 W84 C~55Nw 2017 10 22.19535 00 40 10.542 +03 02 28.08 22.7z 13TS229 W84 C~55Nw 2018 09 09.25958 00 47 47.462 +03 51 08.97 23.1z 13TS229 W84 C~55Nw 2018 10 18.19480 00 45 05.064 +03 33 55.35 23.0i 13TS229 W84 C~55Nw
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 -0.08 0.00 0.19
2 0.0245 0.00 0.02 0.00 -0.05
3 0.1339 0.00 0.04 0.00 -0.11
4 1.1114 0.00 0.03 0.00 -0.07
5 2.9327 0.00 -0.03 0.00 0.10
6 3.1237 0.00 0.08 0.00 0.03
7 3.9811 0.00 -0.03 0.00 0.07
8 3.9811 0.00 -0.03 0.00 -0.05
9 4.0494 0.00 0.05 0.00 -0.17
10 4.9312 0.00 0.09 0.00 0.00
11 5.0378 0.00 -0.08 0.00 0.08
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.
13TS229 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.482 44.482 44.482 ecceobj 0.072 0.072 0.072 incobj 1.170 1.170 1.170 qmin 39.908 39.901 39.905 qmax 48.866 48.852 48.852 amean 44.247 44.247 44.247 amin 43.884 43.889 43.887 amax 44.626 44.626 44.619 emean 0.079 0.079 0.079 emin 0.063 0.063 0.063 emax 0.095 0.095 0.095 imean 0.755 0.755 0.755 imin 0.152 0.151 0.151 imax 1.233 1.233 1.233 excite_mean 0.080 0.080 0.080 fracstop 1.000 1.000 1.000 cjmean 3.097 3.097 3.097 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 177.6 177.4 177.6 kozaiamp 180.0 179.9 179.9