报告题目：Oscillatory motions, parabolic orbits and collision orbits in the planar circular restricted three-body problem

报 告 人：Jose Lamas Rodriguez（Departament de Matem atiques & IMTECH, UPC）

报告时间：2025年3月19日（星期三）14:30-15:30

报告地点：新浦金350vip一111A  

报告摘要：In this talk we consider the planar circular restricted three body problem (PCRTBP), which models the motion of a massless body under the attraction of other two bodies, the primaries, which describe circular orbits around their common center of mass. In a suitable system of coordinates, this is a two degrees of freedom Hamiltonian system. The orbits of this system are either defined for all (future or past) time or eventually go to collision with one of the primaries. For orbits defined for all time, Chazy provided a classification of all possible asymptotic behaviors, usually called final motions. By considering a sufficiently small mass ratio between the primaries, we analyze the interplay between collision orbits and various final motions and construct several types of dynamics.