- The application of the resonance crossing mechanism to extra-solar
planetary systems, that are similar to the Jupiter-Saturn configuration of
the Solar System and an analysis of the influence on the orbital stability of
terrestrial-like planets in the habitable zone.
- The influence of an accompanying star on the motion of Earth-like planets
in the habitable zone of a main-sequence star - based on a stability study
of planetary motion in the binary HD4100AB. Such stellar perturbation on
this region can be recognized by the appearance of secular resonances,
depending on (i) the distance between the HD41004 B and a giant planet
outside the habitable zone, (ii) the masses, (iii) the eccentricities.
- The influence of close-in planets on habitable zones of K- and M-star
(assumed that the inward migration has not fully destroyed this region,
or terrestrial-like planets have migrated to this region afterwards).
- A data-base for planetary motion around one stellar component in a double
star systems, which will be very helpful for future observations, to verify
if a planet in a double star system is in the stable zone or not.