  With improvements in exoplanet detection techniques, the number of multiple
planet systems discovered is increasing, while the detection of potentially
habitable Earth-mass planets remains complicated and thus requires new search
strategies. Dynamical studies of known multiple planet systems are therefore a
vital tool in the search for stable and habitable planet candidates. Here, we
present a dynamical study of the three-planet system HD 204313 to determine
whether it could harbour an Earth-like planet within its habitable zone for a
sufficient time to develop life. We found two semi-stable regions in the
system, but neither prove stable for long enough for a terrestrial planet to
develop life. Our investigations suggest that overlapping weak and high order
resonances may be responsible for these semi-stable regions. This study
established a framework for a larger project that will study the dynamical
stability of the habitable zone of multiple planet systems, providing a list of
interesting targets for future habitable low-mass planet searches.
