2011). HD37124 c and d might be in the 2:1 resonance, however the analysis of the radial velocity data performed by Wright et al. (2011) is not conclusive. The stability analysis requires the component HDAC inhibitor d to have an orbit with the eccentricity not larger than 0.3. Wright et al. (2011) have shown also that the planetary orbits should be coplanar and that all the planets have practically the same mass. The differences between masses do not exceed 10%. With this object we are closing the list of known systems which contain planets in or close to the 2:1 mean-motion resonance. Commensurabilities with the Ratio of Orbital Periods Greater than Two Now, we discuss the 5:2 resonance in two systems, namely HD 10180 and HD 181433. HD 10180   The central star is a G1 dwarf, its effective temperature is 5911 ±19 K, log(g) = 4.39 ± 0.03, and the metallicity [Fe/H] = 0.08 ± 0.01.

The mass of the star is similar to that of our Sun, 1.06 ± 0.05 M  ⊙ . The age of the star is also very similar to the age of the www.selleckchem.com/products/Roscovitine.html Sun and is equal to 4.3 ± 0.4 × 109 years (Table 2 in Lovis et al. 2011). There are seven planets around this star (Lovis et al. 2011). Five of them are similar to Neptune in our Solar System with the semi-major axes in the range from 0.06 to 1.4 AU. The most internal planet is not confirmed yet (Olsen and Bohr 2010), but it might be similar to the Earth, its minimal mass is 1.4 m  ⊕ , it orbits very close to the host star, at a distance of Selleck Ixazomib 0.022 AU. Planets e and f are close to the 5:2 commensurability, while planets d and e are close to the 3:1 resonance. The system seems to be stable in the long term, in particular, if only the six external planets are taken into account. The present radial velocity

measurements exclude the existence of a gas giant planet at a distance of less than 10 AU, so it is unlikely that the gas giant has played a significant role in shaping up the structure of this system. HD 181433   The second system in which the 5:2 resonance can be present is HD 181433. The central star is a K3 subgiant with the effective temperature T eff = 4962 ± 134 K (Sousa et al. 2008), gravitational acceleration log (g) = 4.37 ± 0.26 and metallicity [Fe/H] = 0.33 ± 0.13. The mass of the star is around 0.78 M  ⊙ , the distance from the Sun 26.15 pc. There are three planets in this system: a super-Earth with the mass of 7.4  m  ⊕  and the orbital period of 9.4 days, a planet with the mass of 0.65 m J and period of 2.6 years and a planet with the mass of 0.53  m J with period of around 6 years. The stability of the system requires the occurrence of the commensurability between the periods of the giant planets. As mentioned before, in the system HD 10180 there is also the possibility of the existence of the 3:1 resonance.