Global dynamics of the Buckingham's two-body problem
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
Vidal, Claudio (Universidad del Bío-Bío. Departamento de Matemática)

Date:	2018
Abstract:	The equations of motion of the Buckingham system are the ones of a two-body problem defined by the Hamiltonian H=12(px2+py2)+Ae-Bx2+y2-M(x2+y2)3, where A, B and M are positive constants. The angular momentum p: = xp- yp and this Hamiltonian are two independent first integrals in involution. We denote by I (respectively, I) the set of points of the phase space where H (respectively, p) takes the value h (respectively, c). Due to the fact that H and p are first integrals, the sets I and I = I∩ I are invariant under the flow of the Buckingham systems. We describe the global dynamics of the Buckingham system describing the foliation of its phase space by the invariant sets I, the foliation of the invariant set I by its invariant subsets I , and the foliation of invariant set I by the orbits of the system.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Published in:	Astrophysics and Space Science. An International Journal of Astronomy, Astrophysics and Space Science, Vol. 363, Issue 12 (December 2018) , art. 255, ISSN 1572-946X

DOI: 10.1007/s10509-018-3475-y

Postprint 22 p, 1.8 MB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles