Finite Energy Foliations in the Restricted Three-Body Problem

Explore finite energy foliations in the restricted three-body problem through this 55-minute conference talk delivered by Pedro Salomão from SUSTech China at the X Workshop on Conservative Dynamics and Symplectic Geometry. Delve into advanced mathematical concepts at the intersection of conservative dynamics and symplectic geometry, examining how finite energy foliations apply to one of classical mechanics' most fundamental problems. Learn from expert analysis presented at this special 20th anniversary edition of the workshop, held at IMPA in Rio de Janeiro, which brings together leading researchers in symplectic topology, Hamiltonian dynamics, contact geometry, Lagrangian systems, twist maps, integrable systems, and Aubry-Mather theory. Gain insights into cutting-edge research methodologies and theoretical frameworks that advance our understanding of dynamical systems and their geometric structures within the context of celestial mechanics and the three-body problem.