Mathematical Sciences: Hamiltonian Dynamical Systems

点击翻译按钮获取中文摘要

The principal investigator will study the global properties of almost periodic systems, stability and periodic solutions in the elliptic restricted three body problem, and generalizations of the Sternberg-Moser normalization theorem. Additionally he will investigate chaotic and stable behavior of almost periodic trajectories. The starting point for these studies will be normal form theory for the Lagrange equilibrium point of the three body problem. Roughly between the Earth and the Moon lies two so called Lagrange points. These are stable points where it is believed bits of matter have accumulated. The investigator will search for other such points as well as for chaotic trajectories. Information concerning these locations in space should prove valuable to human exploration of the Moon and planets.