Consider 4 point particles with equal masses in space, subject to the following symmetry constraint: at each instant they form an orbit of the dihedral group. By adding a homogeneous potential (which recovers the gravitational Newtonian potential), one finds a special n-body problem with three degrees of freedom, which is a kind of generalization of the Devaney isosceles problem, in which all orbits have zero angular momentum. In the paper we find all the central configurations and we compute the dimension of the stable/unstable manifolds.
On the dihedral n-body problem.
PORTALURI, Alessandro
2008-01-01
Abstract
Consider 4 point particles with equal masses in space, subject to the following symmetry constraint: at each instant they form an orbit of the dihedral group. By adding a homogeneous potential (which recovers the gravitational Newtonian potential), one finds a special n-body problem with three degrees of freedom, which is a kind of generalization of the Devaney isosceles problem, in which all orbits have zero angular momentum. In the paper we find all the central configurations and we compute the dimension of the stable/unstable manifolds.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
