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: 13TG229 # Created Wed May 8 01:15:28 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 3.92y # First observation: 2013/10/13 # Last observation: 2017/09/14 Preliminary a, adot, b, bdot, g, gdot: -0.000022 0.020676 0.000001 -0.000172 0.022351 0.000000 # Chi-squared of fit: 5.33 DOF: 26 RMS: 0.10 # Min/Max residuals: -0.25 0.17 # Exact a, adot, b, bdot, g, gdot: 1.508079E-05 2.065972E-02 2.509462E-07 -1.708487E-04 2.245250E-02 -6.464309E-04 # Covariance matrix: 3.6683E-13 -1.3154E-13 -8.8173E-16 -1.6977E-16 1.6004E-13 -1.4522E-13 -1.3154E-13 4.6398E-13 -2.1544E-15 -2.9595E-15 5.3359E-13 5.9019E-12 -8.8173E-16 -2.1544E-15 3.0841E-13 -9.8589E-14 -6.5426E-15 -3.6332E-14 -1.6977E-16 -2.9595E-15 -9.8589E-14 4.4920E-14 -5.2224E-15 -4.3971E-14 1.6004E-13 5.3359E-13 -6.5426E-15 -5.2224E-15 1.4095E-12 8.6658E-12 -1.4522E-13 5.9019E-12 -3.6332E-14 -4.3971E-14 8.6658E-12 8.4932E-11 # lat0 lon0 xBary yBary zBary JD0 -3.958948 15.772565 -0.068078 -0.068581 -0.992708 2456578.699428 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 237.41742 +/- 0.486 Argument of Peri: 29.29621 +/- 0.472 Long of Asc Node: 112.80968 +/- 0.009 Inclination: 3.90106 +/- 0.000 Eccentricity: 0.03904574 +/- 0.0003 Semi-Major Axis: 44.54870704 +/- 0.0083 Time of Perihelion: 2493551.3870 +/- 146.3 Perihelion: 42.80927000 +/- 0.0164 Aphelion: 46.28814408 +/- 0.0168 Period (y) 297.3451 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.69766834 +/- 0.0023 Ecliptic Y 12.41660494 +/- 0.0006 Ecliptic Z -3.07504057 +/- 0.0002 Ecliptic XDOT -0.00076801 +/- 0.0000 Ecliptic YDOT 0.00240117 +/- 0.0000 Ecliptic ZDOT -0.00001520 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.53146353 +/- 0.0022 Geocenter to KBO 44.53847111 +/- 0.0024 # Hcoef: 6.89
The following table shows the complete astrometric record for 13TG229. 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 (13TG229) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.19865 01 04 12.797 +02 33 06.16 23.1z 13TG229 W84 C~52Rg 2013 10 13.20587 01 04 12.772 +02 33 06.28 23.5i 13TG229 W84 C~52Rg 2013 11 08.19544 01 02 29.599 +02 23 08.92 23.6i 13TG229 W84 C~52Rg 2013 11 22.15385 01 01 44.438 +02 19 17.19 22.6z 13TG229 W84 C~52Rg 2014 10 02.29273 01 09 23.223 +03 04 35.65 23.7i 13TG229 W84 C~52Rg 2015 11 07.11042 01 11 21.304 +03 16 46.03 24.1r 13TG229 W84 C~52Rg 2015 11 07.11179 01 11 21.308 +03 16 46.12 23.4i 13TG229 W84 C~52Rg 2016 08 26.33512 01 20 18.237 +04 12 06.35 23.1i 13TG229 W84 C~52Rg 2016 10 29.16012 01 16 17.169 +03 46 13.38 23.3r 13TG229 W84 C~52Rg 2016 10 29.16150 01 16 17.155 +03 46 13.26 22.8i 13TG229 W84 C~52Rg 2016 11 05.16032 01 15 49.460 +03 43 39.45 23.5r 13TG229 W84 C~52Rg 2016 11 05.18100 01 15 49.386 +03 43 39.22 23.6i 13TG229 W84 C~52Rg 2016 11 06.13866 01 15 45.718 +03 43 19.03 23.1z 13TG229 W84 C~52Rg 2017 08 22.39609 01 24 51.384 +04 39 36.80 23.8r 13TG229 W84 C~52Rg 2017 08 28.36967 01 24 36.979 +04 37 44.58 22.1z 13TG229 W84 C~52Rg 2017 09 14.32643 01 23 44.681 +04 31 30.35 23.1z 13TG229 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 -0.11 0.00 -0.08
2 0.0000 -0.30 0.09 0.25 0.17
3 0.0712 -1657.37 0.13 41.22 -0.06
4 0.1094 -2371.40 -0.05 86.81 -0.05
5 0.9695 5020.81 -0.04 -34.12 0.01
6 2.0668 6935.81 -0.18 -34.57 -0.06
7 2.0668 6935.90 -0.01 -34.51 -0.00
8 2.8696 15658.79 0.12 -22.79 -0.03
9 3.0444 11714.58 0.08 -88.89 0.05
10 3.0444 11714.34 -0.07 -88.92 0.02
11 3.0636 11271.09 -0.02 -73.38 0.01
12 3.0636 11269.98 0.15 -73.17 0.16
13 3.0662 11211.35 0.03 -70.94 -0.06
14 3.8582 20097.77 0.08 -42.14 0.01
15 3.8745 19853.70 -0.18 -64.73 0.17
16 3.9210 18980.61 0.00 -115.66 -0.25
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.
13TG229 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.798 44.821 44.774 ecceobj 0.034 0.034 0.033 incobj 3.901 3.900 3.901 qmin 41.884 41.882 41.891 qmax 47.357 47.474 47.320 amean 44.533 44.556 44.509 amin 44.187 44.208 44.168 amax 44.889 44.926 44.868 emean 0.040 0.040 0.040 emin 0.026 0.026 0.026 emax 0.055 0.057 0.055 imean 2.367 2.375 2.369 imin 1.867 1.869 1.865 imax 2.939 2.947 2.944 excite_mean 0.058 0.058 0.058 fracstop 1.000 1.000 1.000 cjmean 3.104 3.104 3.104 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 189.6 174.9 188.8 kozaiamp 180.0 180.0 180.0