Secular evolution of exoplanetary systems and close encounters

Details Secular evolution of exoplanetary systems and close encounters Secular evolution of exoplanetary systems and close encounters

May 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008iaus..249..479s&link_type=abstract

Exoplanets: Detection, Formation and Dynamics, Proceedings of the International Astronomical Union, IAU Symposium, Volume 249, p

Astronomy and Astrophysics

Astronomy

1

Celestial Mechanics, Exoplanets, Stability

Scientific paper

We investigate the secular evolution of non-resonant exoplanetary systems consisting of a central star and two co-planar planets using a semi-numerical averaging method of the first order in planetary masses (in this case equivalent to “averaging by scissors” or simply dropping the fast periodic terms). The resulting Hamiltonian level curves for different exoplanetary systems were compared to those obtained by direct numerical integration. Studying the dependence of the reliability of the averaging method (as well as chaoticity of numerically integrated trajectories) upon the initial conditions, we found that the averaging methods fails even for Hill stable systems. Based on the Hill stability criterion we introduced empirically a more restrictive stability condition, that enabled us to give an estimate for the region of validity of the averaging method in the plane of initial conditions.

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