Stability for Lagrangian relative equilibria of three-point-mass systems
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چکیده
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. PACS numbers: 02.30.Ik, 45.20.−d, 45.20.Jj Mathematics Subject Classification: 37J15, 37J25, 70H03, 70H04, 70H14, 70H33, 70F07 (Some figures in this article are in colour only in the electronic version)
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تاریخ انتشار 2006