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: 13TA229 # Created Sun Dec 22 02:09:46 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 12 observations of 12 # Arc: 5.07y # First observation: 2013/10/13 # Last observation: 2018/11/06 # Chi-squared of fit: 3.46 DOF: 18 RMS: 0.09 # Min/Max residuals: -0.24 0.14 # Exact a, adot, b, bdot, g, gdot: 1.521414E-05 2.488654E-02 -5.903988E-06 -1.070011E-02 2.629631E-02 -3.050292E-03 # Covariance matrix: 5.6324E-13 -4.0355E-13 -5.7179E-14 1.1707E-13 1.9367E-13 -2.2082E-12 -4.0355E-13 8.3261E-13 1.5492E-13 -3.2268E-13 -3.6442E-13 6.0953E-12 -5.7179E-14 1.5492E-13 4.7862E-13 -1.7181E-13 -6.9750E-14 1.1865E-12 1.1707E-13 -3.2268E-13 -1.7181E-13 1.6775E-13 1.2481E-13 -2.4872E-12 1.9367E-13 -3.6442E-13 -6.9750E-14 1.2481E-13 7.6175E-13 -2.3246E-12 -2.2082E-12 6.0953E-12 1.1865E-12 -2.4872E-12 -2.3246E-12 4.7009E-11 # lat0 lon0 xBary yBary zBary JD0 -4.229601 5.366135 -0.245717 -0.071180 -0.964054 2456578.641138 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 305.72753 +/- 0.067 Argument of Peri: 257.31942 +/- 0.102 Long of Asc Node: 176.21620 +/- 0.000 Inclination: 23.56838 +/- 0.000 Eccentricity: 0.12498316 +/- 0.0002 Semi-Major Axis: 41.54955611 +/- 0.0065 Time of Perihelion: 2471326.2265 +/- 26.6 Perihelion: 36.35656123 +/- 0.0100 Aphelion: 46.74255098 +/- 0.0110 Period (y) 267.8291 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.69726584 +/- 0.0013 Ecliptic Y 3.88474696 +/- 0.0001 Ecliptic Z -2.80496448 +/- 0.0001 Ecliptic XDOT -0.00064562 +/- 0.0000 Ecliptic YDOT 0.00254097 +/- 0.0000 Ecliptic ZDOT -0.00108745 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.99285509 +/- 0.0012 Geocenter to KBO 38.02825887 +/- 0.0013 # Hcoef: 8.04
The following table shows the complete astrometric record for 13TA229. 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 (13TA229) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.14036 00 26 24.320 -01 45 06.23 23.0i 13TA229 W84 C~52Rg 2013 11 23.11061 00 23 55.751 -02 02 38.60 24.3r 13TA229 W84 C~52Rg 2013 11 23.11202 00 23 55.749 -02 02 38.68 24.0i 13TA229 W84 C~52Rg 2016 08 26.31588 00 48 37.771 -01 15 34.71 23.1i 13TA229 W84 C~52Rg 2016 09 09.27780 00 47 44.882 -01 23 55.77 23.6r 13TA229 W84 C~52Rg 2016 10 01.20809 00 46 06.050 -01 37 38.12 23.6r 13TA229 W84 C~52Rg 2017 08 28.35853 00 54 49.767 -01 16 13.31 24.5r 13TA229 W84 C~52Rg 2017 08 28.35991 00 54 49.765 -01 16 13.65 23.6i 13TA229 W84 C~52Rg 2017 09 24.28696 00 52 59.414 -01 32 50.17 23.8r 13TA229 W84 C~52Rg 2018 10 10.27061 00 58 07.093 -01 42 06.67 24.0r 13TA229 W84 C~52Rg 2018 10 10.27199 00 58 07.083 -01 42 07.00 24.2i 13TA229 W84 C~52Rg 2018 11 06.20373 00 56 04.828 -01 56 05.00 23.5r 13TA229 W84 C~52Rg
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 -0.00 0.00 -0.12
2 0.1122 0.00 -0.01 0.00 0.09
3 0.1122 0.00 0.01 0.00 0.03
4 2.8697 0.00 0.03 0.00 0.08
5 2.9080 0.00 0.01 0.00 0.02
6 2.9680 0.00 0.06 0.00 -0.04
7 3.8747 0.00 -0.04 0.00 0.05
8 3.8747 0.00 0.01 0.00 -0.24
9 3.9484 0.00 -0.05 0.00 0.14
10 4.9915 0.00 0.12 0.00 0.12
11 4.9915 0.00 0.08 0.00 -0.16
12 5.0652 0.00 -0.15 0.00 0.06
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.
13TA229 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.756 41.756 41.756 ecceobj 0.126 0.126 0.126 incobj 23.496 23.496 23.496 qmin 35.813 35.781 35.787 qmax 47.533 47.520 47.488 amean 41.543 41.543 41.543 amin 41.220 41.201 41.218 amax 41.907 41.903 41.898 emean 0.119 0.119 0.119 emin 0.103 0.103 0.104 emax 0.135 0.135 0.134 imean 23.426 23.426 23.426 imin 22.879 22.882 22.877 imax 23.945 23.941 23.944 excite_mean 0.415 0.415 0.415 fracstop 1.000 1.000 1.000 cjmean 2.865 2.865 2.865 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 182.1 182.0 182.0 kozaiamp 179.9 179.9 179.9