12-17【Pedro A. S. Salomão】Finite energy foliations in the restricted three-body problem

Time:2025-11-06Views:10

Speaker: Pedro A. S. Salomão (Southern University of Science and Technology)

Time: 09:30-10:30, Dec 17, 2025

Venue: room 1124, Material Science Research Building (Section C)



In this talk I will explain the use of pseudo-holomorphic curves to study the circular planar restricted three-body problem. For mass ratios sufficiently close to 1/2 and energies slightly above the first Lagrange value, we show the existence of finite energy foliations whose binding orbits are two retrograde orbits around the primaries and the Lyapunov near the first Lagrange point. These foliations explain the existence of homoclinic orbits to the Lyapunov orbits. This is joint work with L. Liu.