Instability and diffusion in the elliptic restricted three-body problem

	Instability and diffusion in the elliptic restricted three-body problem
	Liao, XH; Saari, DG; Xia, ZH
刊名	CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
	1998
卷号	70 期号:1 页码:23-39
关键词	resonant orbit transversal intersection resonant jump diffusion instability
英文摘要	The importance of the stability characteristics of the planar elliptic restricted three-body problem is that they offer insight about the general dynamical mechanisms causing instability in celestial mechanics. To analyze these concerns, elliptic-elliptic and hyperbolic-elliptic resonance orbits (periodic solutions with lower period) are numerically discovered by use of Newton's differential correction method. We find indications of stability for the elliptic-elliptic resonance orbits because slightly perturbed orbits define a corresponding two-dimensional invariant manifold on the Poincare surface-section. For the resonance orbit of the hyperbolic-elliptic type, we show numerically that its stable and unstable manifolds intersect transversally in phase-space to induce instability. Then, we find indications that there are orbits which jump from one resonance zone to the next before escaping to infinity. This phenomenon is related to the so-called Arnold diffusion.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Astronomy & Astrophysics ; Mathematics, Interdisciplinary Applications
研究领域[WOS]	Astronomy & Astrophysics ; Mathematics
关键词[WOS]	HAMILTONIAN-SYSTEMS ; ARNOLD DIFFUSION
收录类别	SCI
语种	英语
WOS记录号	WOS:000076401500002
内容类型	期刊论文
源URL	[http://119.78.226.72/handle/331011/28139]
专题	上海天文台_天文地球动力学研究中心
作者单位	Chinese Acad Sci, Shanghai Observ, Shanghai 200030, Peoples R China
推荐引用方式 GB/T 7714	Liao, XH,Saari, DG,Xia, ZH. Instability and diffusion in the elliptic restricted three-body problem[J]. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY,1998,70(1):23-39.
APA	Liao, XH,Saari, DG,&Xia, ZH.(1998).Instability and diffusion in the elliptic restricted three-body problem.CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY,70(1),23-39.
MLA	Liao, XH,et al."Instability and diffusion in the elliptic restricted three-body problem".CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY 70.1(1998):23-39.