Comparison of chaos detection methods in the circular restricted three-body problem

作者：Racoveanu O^*

来源：Astronomische Nachrichten, 2014, 335(8): 877-885.

DOI：10.1002/asna.201212110

• chaos
• celestial mechanics
• stellar dynamics
• methods: N-body simulations
• planets and satellites: general

In this study, a sample of orbits is considered in the framework of the planar circular restricted three-body problem. In order to separate ordered from chaotic orbits three numerical methods are compared: the Largest Lyapunov Characteristic Exponent (LLCE) and the Smaller Alignment Index (SALI) provide a fairly good characterization of the chaotic motions, while the computational time required is of the same order; the Correlation Dimension (CD) has the advantage of correctly classifying sticky orbits, but at the expense of a longer computational time. In order to classify a given orbit, any pair of the three methods can be considered, but LLCE and SALI are recommended due to their speed.

• 出版日期2014-10