Equilibrium Connections on the Triple Collision Manifold
In the three body problem the triple collision manifold plays a fundamental role to describe passages near triple collision. To study the possible transitions from the approach to collision to the escape from it, the invariant submanifolds on that manifold are essential. In this paper we study mainly the connections between the equilateral approaches and escapes.
KeywordsManifold Assure Topo
Unable to display preview. Download preview PDF.
- 3.Simó, C Analysis of triple collision in the isosceles problem, in "Classical Mechanics and Dynamical Systems", Ed. R. L. Devaney and Z. Nitecki, Marcel Dekker, 1981, pp. 203–224.Google Scholar
- 4.Simó, C.; Susín, A., Connections between critical points in the collision manifold of the planar 3-body problem, To appear Proceed. Workshop on the Geometry of Hamiltonian Systems, Berkeley (1989).Google Scholar
- 5.Susín, A., Passages Near Triple Collision, in "Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems," Ed. A E Roy. Reidel, 1988, pp. 505–513.Google Scholar