Articles liés à The Integral Manifolds of the Three Body Problem

The Integral Manifolds of the Three Body Problem - Couverture souple

McCord, Christopher Keil; Meyer, Kenneth R.; Wang, Quidong

 
9780821806920: The Integral Manifolds of the Three Body Problem
Couverture souple
ISBN 10 : 0821806920 ISBN 13 : 9780821806920
Editeur : American Mathematical Society, 1998

Synopsis

The phase space of the spatial three-body problem is an open subset in ${\mathbb R}^{18}$. Holding the ten classical integrals of energy, center of mass, linear and angular momentum fixed defines an eight dimensional submanifold. For fixed nonzero angular momentum, the topology of this manifold depends only on the energy. This volume computes the homology of this manifold for all energy values. This table of homology shows that for negative energy, the integral manifolds undergo seven bifurcations. Four of these are the well-known bifurcations due to central configurations, and three are due to 'critical points at infinity'. This disproves Birkhoff's conjecture that the bifurcations occur only at central configurations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
1998
Langue
anglais
ISBN 10 
0821806920
ISBN 13 
9780821806920
Reliure
Broché
Nombre de pages
92
Coordonnées du fabricant
non disponible
Personne responsable
non disponible