Mathematical Sciences: Hamiltonian Dynamical Systems

数学科学：哈密顿动力系统

• 批准号: 9000568
• 负责人: Kenneth Meyer
• 金额: --
• 依托单位: University of Cincinnati Main Campus
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-01 至 1993-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9000568&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Hamiltonian; Dynamical; Systems

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.

首席研究员将研究几乎周期系统的全局性质、椭圆限制三体问题的稳定性和周期解，以及 Sternberg-Moser 归一化定理的推广。 此外，他还将研究几乎周期性轨迹的混沌和稳定行为。 这些研究的起点将是三体问题的拉格朗日平衡点的范式理论。 大致在地球和月球之间有两个所谓的拉格朗日点。 这些是稳定点，据信物质已经在这些稳定点上积累起来。 调查员将寻找其他此类点以及混沌轨迹。 有关太空中这些位置的信息对于人类探索月球和行星来说应该是有价值的。