Global surfaces of section in the planar restricted 3-body problem

Details Global surfaces of section in the planar restricted 3-body problem Global surfaces of section in the planar restricted 3-body problem

2011-03-20

arxiv.org/abs/1103.3881v1

Mathematics

Symplectic Geometry

11 pages, 1 figure

Scientific paper

The restricted planar three-body problem has a rich history, yet many unanswered questions still remain. In the present paper we prove the existence of a global surface of section near the smaller body in a new range of energies and mass ratios for which the Hill's region still has three connected components. The approach relies on recent global methods in symplectic geometry and contrasts sharply with the perturbative methods used until now.

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