论文标题
PCR4PB中相对平衡的数量
The number of relative equilibria in the PCR4PB
论文作者
论文摘要
本文的目的是提出一种新的,分析的方法,用于计算平面中相对平衡的确切数量,圆形,受限的4体制问题。新方法允许提供非常有效的计算机辅助证明,并为证明更难的N体问题的实例打开了潜在的途径。
The aim of this paper is to present a new, analytical, method for computing the exact number of relative equilibria in the planar, circular, restricted 4-body problem of celestial mechanics. The new approach allows for a very efficient computer-aided proof, and opens a potential pathway to proving harder instances of the n-body problem.