Premium
Stability of the Kepler‐36 two‐planet system
Author(s) -
Nagy I.,
Ágas M.
Publication year - 2013
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.201311978
Subject(s) - planet , eccentricity (behavior) , physics , mean motion , stability (learning theory) , celestial mechanics , massless particle , planetary system , kepler , lyapunov function , integrator , astrobiology , classical mechanics , astronomy , computer science , mathematical physics , voltage , nonlinear system , machine learning , quantum mechanics , political science , law
In this paper we study the dynamics of the Kepler‐36 exoplanetary system. The two planets are engaged in the mean‐motion resonance of 6:7. The dynamical stability of this system has been studied by numerical methods using a Lie‐integrator and calculating the Lyapunov characteristic indicator (LCI) and maximum eccentricity (ME). We studied the stability of the system, the stability of another planet, and the stability of satellites belonging to the known planets. The possibility of trojans were also studied using the massless approximation. The tidal perturbations were neglected although they can become significant in some cases. (© 2013 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)