dc.contributor |
Universitat de Vic. Escola Politècnica Superior |
dc.contributor |
Universitat de Vic. Grup de Recerca en Tecnologies Digitals |
dc.contributor.author |
Corbera Subirana, Montserrat |
dc.contributor.author |
Llibre, Jaume |
dc.date |
2013 |
dc.identifier |
Corbera Subirana, M., & Llibre, J. (2013). On the existence of bi-pyramidal central configurations of the n + 2-body problem with an n-gon base. Discrete and Continuous Dynamical Systems- Series A, 33(3), 1049-1060. |
dc.identifier |
1078-0947 |
dc.identifier |
http://hdl.handle.net/10854/2202 |
dc.identifier |
https://doi.org/doi:10.3934/dcds.2013.33.1049 |
dc.identifier.uri |
http://hdl.handle.net/10854/2202 |
dc.description |
Abstract. In this paper we prove the existence of central con gurations of
the n + 2{body problem where n equal masses are located at the vertices of
a regular n{gon and the remaining 2 masses, which are not necessarily equal,
are located on the straight line orthogonal to the plane containing the n{gon
passing through its center. Here this kind of central con gurations is called
bi{pyramidal central con gurations. In particular, we prove that if the masses
mn+1 and mn+2 and their positions satisfy convenient relations, then the
con guration is central. We give explicitly those relations. |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
American Institute of Mathematical Science |
dc.relation |
http://aimsciences.org/journals/contentsListnew.jsp?pubID=548 |
dc.rights |
(c) American Institute of Mathematical Science |
dc.rights |
Tots els drets reservats |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Matemàtica |
dc.title |
On the existence of bi-pyramidal central configurations of the n + 2-body problem with an n-gon base |
dc.type |
info:eu-repo/semantics/article |
dc.type |
info:eu-repo/publishedVersion |