Eccentric planetary motion due to gravitational perturbations and the influence on the habitability

Gravitational perturbations play an important role in multi body systems. Phenomena like mean motion or secular resonances can be sources of instability and influence the architecture of a planetary system significantly. The determination of the location of these resonances is therefore of particular interest. In this study, we use a semi-analytical approach for S-type motion in binary stars which defines the position of a linear secular resonance without huge integration effort. We show the application to several tight binary stars where a giant planet has been detected and study a possible influence on the habitable zone. Moreover, we discuss the consequences for an Earth-like planet in the habitable zone that is affected by such a resonance.