Arnold’s mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument
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- 作者：Amadeu Delshamsa ; Amadeu.Delshams@upc.edu" class="auth_mail" title="E-mail the corresponding author ; Marian Gideab ; c ; Marian.Gidea@yu.edu" class="auth_mail" title="E-mail the corresponding author ; Pablo Roldand ; Pablo.Roldan@itam.mx" class="auth_mail" title="E-mail the corresponding author
- 关键词：Three-body problem ; Arnold diffusion ; Invariant manifolds ; Topological shadowing lemma
- 刊名：Physica D: Nonlinear Phenomena
- 出版年：2016
- 出版时间：1 November 2016
- 年：2016
- 卷：334
- 期：Complete
- 页码：29-48
- 全文大小：1748 K
文摘
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We study the dynamics of the spatial circular restricted three-body problem near L1.
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We describe a mechanism for Hamiltonian instability (Arnold diffusion).
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We construct orbits that ‘diffuse’ across a 3-sphere near L1.
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These orbits change significantly the amplitude of motion relative to the ecliptic.
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We provide analytical results and numerical evidence for diffusing orbits.