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STABILIZATION OF CHAOTIC BEHAVIOR IN THE RESTRICTED THREE-BODY PROBLEM

ARSEN DZHANOEV

Physics Department, Moscow State University, Leninskie Gory, Moscow 119992, Russia

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and

ALEXANDER LOSKUTOV

Physics Department, Moscow State University, Leninskie Gory, Moscow 119992, Russia

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https://doi.org/10.1142/S0218127407019433Cited by:1 (Source: Crossref)

Abstract

The restricted three-body problem on the example of a perturbed Sitnikov case is considered. On the basis of the Melnikov method we study a possibility to stabilize the obtained chaotic solutions by two bodies placed in the triangular Lagrange points. It is shown that in this case, in addition to regular and chaotic solutions, there exist stabilized solutions.

Keywords:

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