The three-body problem asks a simple question: how do three objects move under mutual gravity? Unlike the two-body problem, which has general closed-form solutions, there is no single unified method for finding periodic solutions, even under the restricted assumption that the mass of the third body is negligible. In this talk, I will give a tour of some of the mathematical ideas behind finding periodic solutions, from classical ideas of Poincar\’e, to modern computer-assisted proofs. I will highlight how these ideas connect to developments in symplectic dynamics and also to applications in space missions.

강연시간 : 16:40-17:10