Global surfaces of section in the planar restricted 3-body problem
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Publication:2276292
DOI10.1007/S00205-011-0475-2zbMATH Open1287.70006arXiv1103.3881OpenAlexW2002254141WikidataQ56985472 ScholiaQ56985472MaRDI QIDQ2276292
Author name not available (Why is that?)
Publication date: 5 November 2012
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1103.3881
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