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: 13TY227 # Created Fri Nov 22 02:09:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 20 observations of 20 # Arc: 11.08y # First observation: 2013/10/04 # Last observation: 2024/11/01 # Chi-squared of fit: 5.20 DOF: 34 RMS: 0.09 # Min/Max residuals: -0.24 0.14 # Exact a, adot, b, bdot, g, gdot: 1.306149E-05 2.280869E-02 9.439077E-06 1.611170E-02 2.799203E-02 7.050716E-03 # Covariance matrix: 3.1437E-13 -1.2445E-13 1.1069E-13 -7.5171E-14 9.2668E-14 -4.1975E-13 -1.2445E-13 7.4212E-14 -7.4778E-14 5.0626E-14 -5.2230E-14 2.8263E-13 1.1069E-13 -7.4778E-14 2.4807E-13 -8.0376E-14 5.4967E-14 -3.1278E-13 -7.5171E-14 5.0626E-14 -8.0376E-14 4.4648E-14 -4.1865E-14 2.1201E-13 9.2668E-14 -5.2230E-14 5.4967E-14 -4.1865E-14 3.5123E-13 -2.3563E-13 -4.1975E-13 2.8263E-13 -3.1278E-13 2.1201E-13 -2.3563E-13 1.1837E-12 # lat0 lon0 xBary yBary zBary JD0 -11.071441 17.714377 0.120900 -0.190588 -0.974560 2456569.675658 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 80.06413 +/- 0.032 Argument of Peri: 233.74810 +/- 0.018 Long of Asc Node: 32.42669 +/- 0.000 Inclination: 36.50112 +/- 0.000 Eccentricity: 0.24365834 +/- 0.0000 Semi-Major Axis: 36.08857741 +/- 0.0037 Time of Perihelion: 2438959.3153 +/- 7.6 Perihelion: 27.29529441 +/- 0.0030 Aphelion: 44.88186041 +/- 0.0047 Period (y) 216.8018 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.37942957 +/- 0.0007 Ecliptic Y 10.85753478 +/- 0.0002 Ecliptic Z -6.85996314 +/- 0.0001 Ecliptic XDOT 0.00024800 +/- 0.0000 Ecliptic YDOT 0.00242174 +/- 0.0000 Ecliptic ZDOT 0.00141424 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.69986386 +/- 0.0007 Geocenter to KBO 35.72435096 +/- 0.0008 # Hcoef: 7.93
The following table shows the complete astrometric record for 13TY227. 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 (13TY227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.17488 01 22 10.662 -03 17 27.51 24.0g 13TY227 W84 C~52Re 2013 10 04.19442 01 22 10.557 -03 17 27.86 24.2g 13TY227 W84 C~52Re 2013 11 08.22276 01 18 59.356 -03 28 56.12 23.3r 13TY227 W84 C~52Re 2014 10 29.24732 01 23 18.313 -02 06 14.26 24.2g 13TY227 W84 C~52Re 2014 10 29.24869 01 23 18.310 -02 06 14.22 23.4i 13TY227 W84 C~52Re 2014 11 16.15457 01 21 47.500 -02 10 05.33 23.1r 13TY227 W84 C~52Re 2015 11 07.13160 01 25 54.752 -00 49 21.25 23.4r 13TY227 W84 C~52Re 2016 08 14.40169 01 35 37.170 +00 59 31.38 23.6r 13TY227 W84 C~52Re 2016 08 14.40307 01 35 37.178 +00 59 31.16 24.4g 13TY227 W84 C~52Re 2016 10 23.18451 01 30 29.364 +00 32 59.62 23.7r 13TY227 W84 C~52Re 2016 10 28.15912 01 30 02.258 +00 31 20.59 23.8i 13TY227 W84 C~52Re 2016 11 05.18933 01 29 19.671 +00 29 00.51 23.2z 13TY227 W84 C~52Re 2017 08 22.35753 01 38 30.802 +02 13 33.92 24.3r 13TY227 W84 C~52Re 2017 08 22.35891 01 38 30.804 +02 13 34.03 23.3i 13TY227 W84 C~52Re 2017 08 27.38595 01 38 16.082 +02 12 02.91 23.1r 13TY227 W84 C~52Re 2017 08 27.38732 01 38 16.065 +02 12 02.93 23.7g 13TY227 W84 C~52Re 2018 09 11.35717 01 40 33.675 +03 22 36.72 24.0r 13TY227 W84 C~52Re 2024 11 01.23562 01 55 07.339 +10 20 14.39 23.8G 13TY227 G37 2024 11 01.28317 01 55 07.096 +10 20 13.28 13TY227 G37 2024 11 01.32859 01 55 06.854 +10 20 12.27 13TY227 G37
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 -0.01 0.00 -0.08
2 0.0001 0.00 0.05 0.00 0.08
3 0.0960 0.00 0.09 0.00 -0.09
4 1.0680 0.00 -0.02 0.00 -0.05
5 1.0680 0.00 0.05 0.00 0.02
6 1.1170 0.00 -0.22 0.00 0.13
7 2.0916 0.00 0.06 0.00 0.07
8 2.8617 0.00 -0.13 0.00 0.11
9 2.8617 0.00 0.03 0.00 -0.09
10 3.0527 0.00 0.02 0.00 -0.05
11 3.0663 0.00 0.08 0.00 0.08
12 3.0883 0.00 -0.02 0.00 -0.10
13 3.8828 0.00 -0.03 0.00 -0.13
14 3.8828 0.00 0.06 0.00 0.01
15 3.8965 0.00 0.12 0.00 0.04
16 3.8965 0.00 -0.07 0.00 0.09
17 4.9368 0.00 0.02 0.00 -0.00
18 11.0775 0.00 -0.24 0.00 0.14
19 11.0776 0.00 -0.02 0.00 -0.01
20 11.0778 0.00 0.04 0.00 -0.10
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.
13TY227 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 36.257 36.271 36.244 ecceobj 0.245 0.245 0.245 incobj 36.446 36.446 36.447 qmin 27.068 27.074 27.062 qmax 45.367 45.306 45.506 amean 35.951 36.027 36.070 amin 35.583 35.781 35.779 amax 36.546 36.382 36.477 emean 0.236 0.239 0.239 emin 0.225 0.231 0.230 emax 0.249 0.249 0.250 imean 36.329 36.292 36.269 imin 36.068 36.068 36.069 imax 36.550 36.453 36.406 excite_mean 0.638 0.638 0.638 fracstop 0.006 0.005 0.004 cjmean 2.534 2.534 2.534 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 234.7 234.5 233.8 kozaiamp 2.1 1.8 1.9