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 ...»»»»
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.^^^^