Basins of Attraction in the Copenhagen Problem Where the Primaries Are Magnetic Dipoles

• 作者: Maria Ch. Gousidou-Koutita Tilemachos J. Kalvouridis
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Copenhagen PROBLEM with Magnetic DIPOLES Equilibrium Locations Basins of ATTRACTION Solution of Non-Linear Algebraic Systems Newton and QUASI-NEWTON METHODS Comparison of Numerical METHODS
• 年，卷（期）: 2012,（6）
• 页码范围: 541-548
• 页数: 8页
• 分类号: O1

摘要

We deal with the Copenhagen problem where the two big bodies of equal masses are also magnetic dipoles and we study some aspects of the dynamics of a charged particle which moves in the electromagnetic field produced by the primaries. We investigate the equilibrium positions of the particle and their parametric variations, as well as the basins of attraction for various numerical methods and various values of the parameter λ.