One of the most interesting questions is the possibility of the existence of Earth-like planets within observed
extrasolar planetary systems. Within my thesis, I focus on whether extrasolar terrestial planetary orbits dyna-
mically remain confined long enough within the habitable zone of selected one-planet extrasolar systems. Using
numerical chaos indicators and performing dynamical large-scale test-particle simulations, the parameter phase space is
explored within the region of the habitable zone over a substantial time length of the host stars life time. This kind of
theoretical dynamical analysis will help future space-based search missions for habitable planets by providing a mission
targeting list of potential terrestial planets on dynamically stable orbits.