Articoli correlati a The Integral Manifolds of the Three Body Problem

The Integral Manifolds of the Three Body Problem - Brossura

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

 
9780821806920: The Integral Manifolds of the Three Body Problem
Brossura
ISBN 10: 0821806920 ISBN 13: 9780821806920
Casa editrice: American Mathematical Society, 1998

Sinossi

The phase space of the spatial three-body problem is an open subset in R18. Holding the ten classical integrals of energu, center of mass, linear and angular momentum fixed defines an eight dimensional manifold. 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 Birkhoffs conjecture that the bifurcations occur only at central configurations.

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Editore
American Mathematical Society
Data di pubblicazione
1998
Lingua
Inglese
ISBN 10 
0821806920
ISBN 13 
9780821806920
Rilegatura
Copertina flessibile
Numero di pagine
91
Contatto del produttore
non disponibile
Persona responsabile
non disponibile