Mathematical Sciences: Hamiltonian Dynamical Systems

主要的研究人员将研究概周期系统的整体性质，椭圆受限三体问题的稳定性和周期解，以及Sternberg-Moser正规化定理的推广。此外，他还将研究几乎周期轨迹的混沌和稳定行为。这些研究的起点将是三体问题拉格朗日平衡点的范式理论。在地球和月球之间大致有两个所谓的拉格朗日点。这些都是被认为积累了少量物质的稳定点。调查员将寻找其他这样的点以及混乱的轨迹。有关太空中这些位置的信息应该对人类探索月球和行星有价值。

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.