Dynamics and Stability of Triple Stars SEPPO MIKKOLA Tuorla Observatory,University of Turku, 21500 Piikkioe, Finland. Evolution of (point-mass) three-body systems is known to be qualitatively similar in future and past: the system disrupts (unstable) ejecting one of the stars, in both direction of time, or it stays bounded (stable) forever. Consequently any encounter of a binary and a single star, however complicated, eventually leads to ejection of one of the stars leaving behind a binary. The most common stable triple systems are the hierarchical ones. Among these is the interesting case of high mutual inclination with strong eccentricity variation (Kozai-resonance). Other bounded triples include: the `figure of 8' stable (quasi-)periodic system, some (nearly) rectilinear orbits and co-orbital solutions. We discuss the dynamics of triple systems and present fast reliable numerical methods for computing the motions.