Mathematical Sciences: Hamiltonian Dynamical Systems

首席研究员将研究 概周期系统的稳定性和周期解 椭圆型限制性三体问题及其推广 Sternberg-Moser正规化定理 此外，他 将研究几乎周期的混沌和稳定行为 轨迹 这些研究的起点将是 规范形理论的拉格朗日平衡点的 三体问题 在地球和月球之间有两个所谓的 拉格朗日点。 这些是稳定的点 一些物质积累起来。 调查员会搜查 对于其他这样的点以及对于混沌轨迹。 关于这些空间位置的信息应该可以证明 对人类探索月球和其他行星很有价值。

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.