On existence of periodic solutions for kepler type problems

We prove existence and multiplicity of periodic motions for the forced 2-body problem under conditions of topological character. In different cases, the lower bounds obtained for the number of solutions are related to the winding number of a curve in the plane and the homology of a space in ℝ3. © 20...

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Detalles Bibliográficos
Autores principales:	Amster, P., Haddad, J.
Formato:	JOUR
Materias:	Averaging method Forced 2-body problem Multiplicity Periodic solutions Topological degree
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_12303429_v48_n2_p465_Amster
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_12303429_v48_n2_p465_Amster
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spelling	todo:paper_12303429_v48_n2_p465_Amster2023-10-03T16:09:10Z On existence of periodic solutions for kepler type problems Amster, P. Haddad, J. Averaging method Forced 2-body problem Multiplicity Periodic solutions Topological degree We prove existence and multiplicity of periodic motions for the forced 2-body problem under conditions of topological character. In different cases, the lower bounds obtained for the number of solutions are related to the winding number of a curve in the plane and the homology of a space in ℝ3. © 2016 Juliusz Schauder Centre for Nonlinear Studies. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Haddad, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_12303429_v48_n2_p465_Amster
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Averaging method Forced 2-body problem Multiplicity Periodic solutions Topological degree
spellingShingle	Averaging method Forced 2-body problem Multiplicity Periodic solutions Topological degree Amster, P. Haddad, J. On existence of periodic solutions for kepler type problems
topic_facet	Averaging method Forced 2-body problem Multiplicity Periodic solutions Topological degree
description	We prove existence and multiplicity of periodic motions for the forced 2-body problem under conditions of topological character. In different cases, the lower bounds obtained for the number of solutions are related to the winding number of a curve in the plane and the homology of a space in ℝ3. © 2016 Juliusz Schauder Centre for Nonlinear Studies.
format	JOUR
author	Amster, P. Haddad, J.
author_facet	Amster, P. Haddad, J.
author_sort	Amster, P.
title	On existence of periodic solutions for kepler type problems
title_short	On existence of periodic solutions for kepler type problems
title_full	On existence of periodic solutions for kepler type problems
title_fullStr	On existence of periodic solutions for kepler type problems
title_full_unstemmed	On existence of periodic solutions for kepler type problems
title_sort	on existence of periodic solutions for kepler type problems
url	http://hdl.handle.net/20.500.12110/paper_12303429_v48_n2_p465_Amster
work_keys_str_mv	AT amsterp onexistenceofperiodicsolutionsforkeplertypeproblems AT haddadj onexistenceofperiodicsolutionsforkeplertypeproblems
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On existence of periodic solutions for kepler type problems

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