Critical points of the integral map of the charged three-body problem
| Autor: | Holger Waalkens, I. Hoveijn, M. Zaman |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Connection (fibred manifold)
Pure mathematics Series (mathematics) General Mathematics media_common.quotation_subject 010102 general mathematics 010103 numerical & computational mathematics Type (model theory) Three-body problem Infinity 01 natural sciences Configuration space 0101 mathematics media_common Mathematics |
| Zdroj: | Indagationes Mathematicae. 30:165-196 |
| ISSN: | 0019-3577 |
| DOI: | 10.1016/j.indag.2018.09.006 |
| Popis: | This is the first in a series of three papers where we study the integral manifolds of the charged three-body problem. The integral manifolds are the fibers of the map of integrals. Their topological type may change at critical values of the map of integrals. Due to the non-compactness of the integral manifolds one has to take into account besides ‘ordinary’ critical points also critical points at infinity. In the present paper we concentrate on ‘ordinary’ critical points and in particular elucidate their connection to central configurations. In a second paper we will study critical points at infinity. The implications for the Hill regions, i.e. the projections of the integral manifolds to configuration space, are the subject of a third paper. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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