Bounded orbits for 3 bodies in ℝ^4
arxiv(2023)
摘要
We consider the Newtonian 3-body problem in dimension 4, and fix a value of
the angular momentum which is compatible with this dimension. We show that the
energy function cannot tend to its infimum on an unbounded sequence of states.
Consequently the infimum of the energy is its minimum. This completes our
previous work on the existence of Lyapunov stable relative periodic
orbits in the 3-body problem in ℝ^4.
更多查看译文
关键词
critical points,infinity
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要