Chaos in Planar, Circular, Restricted Three-Body Problem

• 作者: Jan Vrbik
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: CHAOTIC ORBITS PERTURBATION Methods THREE-BODY Problem Resonance
• 年，卷（期）: 2013,（1）
• 页码范围: 40-45
• 页数: 6页
• 分类号: O1

摘要

In this article we analyze the motion of a test particle of a planar, circular, restricted three-body problem in resonance, using the Kustaanheimo-Stiefel formalism. We show that a good qualitative description of the motion can be reduced to three simple equations for semi-major axis, eccentricity and resonance angle. Studying these equations reveals the onset of chaos, and sheds a new light on its weak nature. The 7:4 resonance is used as an example.