An analytic estimation for the instability interval near second order resonances in the restricted three-body problem

Jaume Llibre, Jaume Soler

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Abstract

Periodic orbits of the first kind of the planar circular restricted three-body problem are linearly stable except in the neighbourhood of second order resonances, where an interval of unstable orbits appears when the mass parameter is not zero. Our main result is the estimation of the length of the instability interval. © 1994 Birkhäuser Verlag.
Original languageEnglish
Pages (from-to)956-977
JournalZAMP Zeitschrift für angewandte Mathematik und Physik
Volume45
DOIs
Publication statusPublished - 1 Nov 1994

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