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Critical points of the integral map of the charged three-body problem
- Source :
- Indagationes Mathematicae. 30:165-196
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- 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.
- Subjects :
- 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
Subjects
Details
- ISSN :
- 00193577
- Volume :
- 30
- Database :
- OpenAIRE
- Journal :
- Indagationes Mathematicae
- Accession number :
- edsair.doi...........49842276aa059f9faa9aa4d57fef4e99