Title: Dynamics of Binary Stars and their Planets Eric Pfahl KITP, UC Santa Barbara Abstract: Among the stars known to host a planet, roughly 25% have a binary stellar companion. Most of these binaries have orbital separations of >100 AU, but a handful are hazardously close, with separations of 20 AU or less. The presence of a close stellar companion can prohibit giant planet formation. I will discuss the hypothesis that some fraction of planet-hosting stars that are now in binaries were initially single. This idea is motivated by recent evidence that most stars, including the Sun, were born in clusters with hundreds to thousands of members. In a cluster environment, an initially single star can acquire a close companion during a three-star dynamical interaction. Similar processes can dissolve wide binaries; as an example, I will assess the possibility that the Sun had a distant companion at early times, and consider what dynamical imprints that star may have left on the Solar System.