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Connection between Hill stability and weak stability in the elliptic restricted three-body problem

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Abstract

This paper provides a study on the connection between Hill stability and weak stability in the framework of the spatial elliptic restricted three-body problem. We determine a necessary condition for weak stability by giving an upper and a lower bound of qualitative measure of the Hill stability. The sufficient condition for weak stability and the symmetry of weak stable regions around the planets of the Solar System is also investigated.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Sapientia Hungarian University of Transylvania, Miercurea Ciuc, Romania

    Zoltán Makó

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  1. Zoltán Makó
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Correspondence to Zoltán Makó.

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Makó, Z. Connection between Hill stability and weak stability in the elliptic restricted three-body problem. Celest Mech Dyn Astr 120, 233–248 (2014). https://doi.org/10.1007/s10569-014-9577-0

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  • DOI: https://doi.org/10.1007/s10569-014-9577-0

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