Institute for Advanced Study Informal Astrophysics Seminar - NOTE SPECIAL DAY

Secular dynamics in hierarchical systems have important implications for short-period binaries, hot Jupiters and multiplanet systems. We present a new efficient method for studying the long-term dynamics of hierarchical systems composed of nested binary orbits, with any hierarchical structure and any number of bodies. We apply this method to explain the current observed lack of circumbinary planets around short-period binaries. In particular, we relate this observation to the origin of short-period binaries in stellar triples. Furthermore, we consider the formation of hot Jupiters though high-eccentricity migration with secular chaos in multiplanet systems with at least three planets, and present preliminary results. Finally, we discuss future directions of studying the long-term evolution of multiplanet systems.