Stability for Lagrangian relative equilibria of three-point-mass systems

Tanya Schmah*, Cristina Stoica

*Corresponding author for this work

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    In the present paper we apply geometric methods, and in particular the reduced energy-momentum (REM) method, to the analysis of stability of planar rotationally invariant relative equilibria of three-point-mass systems. We analyse two examples in detail: equilateral relative equilibria for the three-body problem, and isosceles triatomic molecules. We discuss some open problems to which the method is applicable, including roto-translational motion in the full three-body problem.

    Original languageEnglish
    Article number012
    Pages (from-to)14405-14425
    Number of pages21
    JournalJournal of Physics A: Mathematical and General
    Volume39
    Issue number46
    DOIs
    Publication statusPublished - 17 Nov 2006

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