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 language | English |
|---|---|
| Article number | 012 |
| Pages (from-to) | 14405-14425 |
| Number of pages | 21 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 39 |
| Issue number | 46 |
| DOIs | |
| Publication status | Published - 17 Nov 2006 |