Applications of lagrangian coherent structures to expression of invariant manifolds in astrodynamics

被引：0

作者：

Rui Qi

Shi Jie Xu

机构：

[1] Beijing Institute of Technology,School of Aerospace Engineering

[2] Beihang University,Department of Guidance, Navigation and Control, School of Astronautics

来源：

Astrophysics and Space Science | 2014年 / 351卷

关键词：

Lagrangian coherent structure; Dynamical system; Libration point orbit; Invariant manifold;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper investigates the relationship between invariant manifold and Lagrangian coherent structure (LCS) in dynamical systems. LCS is defined as the ridge of finite-time Lyapunov exponent (FTLE) field, and is proving to be excellent platform for studies of stable and unstable manifold in flows with arbitrary time dependence. In this study, the LCS tool is applied to autonomous systems, simple pendulum and planar circular restricted three-body problem (PCR3BP), and also non-autonomous ones, double-gyre flow and bicircular problem (BCP). A comparison between LCS and invariant manifold is presented.

引用

页码：125 / 133

页数：8

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