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: 13TS227 # Created Tue May 7 01:14:50 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 15 observations of 15 # Arc: 5.16y # First observation: 2013/10/03 # Last observation: 2018/11/29 # Chi-squared of fit: 38.49 DOF: 24 RMS: 0.28 # Min/Max residuals: -1.26 0.28 # Exact a, adot, b, bdot, g, gdot: 1.494768E-05 2.482104E-02 -6.230162E-06 -1.007152E-02 2.821281E-02 -8.648732E-03 # Covariance matrix: 4.0754E-13 -2.7096E-13 -4.5359E-14 7.7101E-14 -5.5837E-15 -1.7114E-12 -2.7096E-13 4.3496E-13 1.0432E-13 -1.7739E-13 3.2647E-14 3.9335E-12 -4.5359E-14 1.0432E-13 3.6106E-13 -1.4751E-13 4.6397E-15 1.0461E-12 7.7101E-14 -1.7739E-13 -1.4751E-13 1.2219E-13 -9.6461E-15 -1.7780E-12 -5.5837E-15 3.2647E-14 4.6397E-15 -9.6461E-15 5.1853E-13 1.0936E-13 -1.7114E-12 3.9335E-12 1.0461E-12 -1.7780E-12 1.0936E-13 3.9471E-11 # lat0 lon0 xBary yBary zBary JD0 -10.646040 24.961378 0.259931 -0.178399 -0.949669 2456568.793368 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 273.91292 +/- 0.031 Argument of Peri: 327.82623 +/- 0.015 Long of Asc Node: 180.68883 +/- 0.001 Inclination: 24.32979 +/- 0.000 Eccentricity: 0.32599620 +/- 0.0002 Semi-Major Axis: 33.70253887 +/- 0.0040 Time of Perihelion: 2473657.9392 +/- 11.5 Perihelion: 22.71563931 +/- 0.0067 Aphelion: 44.68943844 +/- 0.0081 Period (y) 195.6600 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.56597685 +/- 0.0008 Ecliptic Y 14.87556413 +/- 0.0004 Ecliptic Z -6.54838172 +/- 0.0002 Ecliptic XDOT -0.00193416 +/- 0.0000 Ecliptic YDOT 0.00175807 +/- 0.0000 Ecliptic ZDOT -0.00080535 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.39669535 +/- 0.0007 Geocenter to KBO 35.44509908 +/- 0.0009 # Hcoef: 7.96
The following table shows the complete astrometric record for 13TS227. 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 (13TS227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.29259 01 48 00.301 -00 15 32.58 24.5g 13TS227 W84 C~52Re 2013 10 04.19163 01 47 55.889 -00 16 08.11 24.4g 13TS227 W84 C~52Re 2013 10 27.13113 01 45 57.009 -00 30 11.48 24.3g 13TS227 W84 C~52Re 2014 10 21.29028 01 52 40.285 -00 28 23.18 23.2r 13TS227 W84 C~52Re 2014 10 23.27793 01 52 29.713 -00 29 33.46 23.2i 13TS227 W84 C~52Re 2016 09 07.50593 02 08 39.16 -00 03 05.5 23.7r 13TS227 T09 C~7xNs 2016 09 07.52696 02 08 39.09 -00 03 06.3 23.8r 13TS227 T09 C~7xNs 2016 09 07.54684 02 08 39.01 -00 03 07.1 23.9r 13TS227 T09 C~7xNs 2016 09 07.59551 02 08 38.84 -00 03 09.0 23.9r 13TS227 T09 C~7xNs 2016 09 10.29669 02 08 30.001 -00 04 56.23 23.2r 13TS227 W84 C~52Re 2016 09 10.39463 02 08 29.664 -00 05 00.20 22.8z 13TS227 W84 C~52Re 2016 11 03.17687 02 04 09.863 -00 39 27.52 23.9r 13TS227 W84 C~52Re 2016 11 05.23333 02 03 58.840 -00 40 29.85 23.0i 13TS227 W84 C~52Re 2017 10 29.26209 02 11 09.021 -00 38 34.61 21.0r 13TS227 W84 C~52Re 2018 11 29.18186 02 15 07.027 -00 53 26.49 23.4r 13TS227 W84 C~52Re
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 -0.24 0.00 0.04
2 0.0025 0.00 0.06 0.00 -0.09
3 0.0653 0.00 0.03 0.00 -0.25
4 1.0486 0.00 0.11 0.00 -0.05
5 1.0540 0.00 0.16 0.00 0.06
6 2.9301 0.00 0.12 0.00 0.25
7 2.9301 0.00 0.10 0.00 0.28
8 2.9302 0.00 -0.13 0.00 0.26
9 2.9303 0.00 -0.29 0.00 0.28
10 2.9377 0.00 -0.06 0.00 0.07
11 2.9380 0.00 0.01 0.00 0.01
12 3.0852 0.00 0.08 0.00 0.08
13 3.0909 0.00 0.16 0.00 0.11
14 4.0711 0.00 -0.12 0.00 -1.26
15 5.1551 0.00 0.09 0.00 0.26
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.
13TS227 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 33.788 33.788 33.788 ecceobj 0.322 0.322 0.322 incobj 24.246 24.246 24.246 qmin 21.977 21.980 21.993 qmax 46.350 46.212 46.143 amean 33.926 33.434 33.684 amin 33.333 32.921 32.598 amax 34.961 34.445 34.393 emean 0.331 0.238 0.292 emin 0.278 0.103 0.199 emax 0.352 0.349 0.349 imean 23.940 26.443 25.179 imin 23.258 23.277 23.333 imax 26.037 28.800 27.783 excite_mean 0.524 0.509 0.519 fracstop 0.047 0.219 0.081 cjmean 2.726 2.737 2.729 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 142.2 167.9 108.9 kozaiamp 179.6 179.9 179.9