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L'équation aux variations verticales d'un équilibre relatif comme source de nouvelles solutions périodiques du problème des N corps
- Source :
-
Comptes Rendus. Mathématique . Apr2005, Vol. 340 Issue 8, p593-598. 6p. - Publication Year :
- 2005
-
Abstract
- Abstract: We start with a rotating frame which enforces a resonance between the frequency of a relative equilibrium of the N-body problem and that of an infinitesimal variation normal to the plane of the equilibrium. Continuation then yields a remarkable class of periodic solutions. The first example is the family, discovered by Christian Marchal, which links the relative equilibrium of Lagrange to the Eight. To cite this article: A. Chenciner, J. Féjoz, C. R. Acad. Sci. Paris, Ser. I 340 (2005). [Copyright &y& Elsevier]
- Subjects :
- *INFINITESIMAL geometry
*CALCULUS
*EQUILIBRIUM
*RESONANCE
*MATHEMATICAL analysis
Subjects
Details
- Language :
- French
- ISSN :
- 1631073X
- Volume :
- 340
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 17790383
- Full Text :
- https://doi.org/10.1016/j.crma.2005.02.016