30 citations · 38 across the 6 of their papers we have counts for
4 papers · 1 filter
Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces
Anna Gołȩbiewska, Ernesto Pérez-Chavela, Sławomir Rybicki +1
We consider autonomous Newtonian systems with Coriolis forces in two and three dimensions and study the existence of branches of periodic orbits emanating from equilibria. We inves…
Continuation of relative equilibria in the --body problem to spaces of constant curvature
Abimael Bengochea, Carlos García-Azpeitia, Ernesto Pérez-Chavela +1
We prove that all non-degenerate relative equilibria of the planar Newtonian --body problem can be continued to spaces of constant curvature , positive or negative, for small…
Regularization of the restricted -body problem on curved spaces
Ernesto Pérez-Chavela, Juan Manuel Sánchez-Cerritos
We consider bodies moving under their mutual gravitational attraction in spaces with constant Gaussian curvature . In this system, primary bodies with equal masses f…
Stability interchanges in a curved Sitnikov problem
Luis Franco-Pérez, Marian Gidea, Mark Levi +1
We consider a curved Sitnikov problem, in which an infinitesimal particle moves on a circle under the gravitational influence of two equal masses in Keplerian motion within a plane…