Phase Space Structure around L4 in the Restricted Three-Body Problem

B. Erdi¹ and Zs. Sandor²
1 Eötvös University Budapest, Hungary
2 Konkoly Observatory Budapest, Hungary

The phase space structure around L₄ in the restricted three-body problem is investigated. The connection between the long period family emanating from L₄ and the very complex structure of the stability region is shown by using the method of Poincaréīs surface of section. The stability region around L₄ is determined by using a method based on the calculation of finite-time Lyapounov characteristic numbers. It is shown that the boundary of the stability region in the configuration space is formed by orbits suffering slow chaotic diffusion.

Download this abstract as [tex] or [html]