Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces

We consider planar and spatial autonomous Newtonian systems with Coriolis forces study the existence of branches periodic orbits emanating from equilibria. investigate both degenerate nondegenerate situations. While Lyapunov's center theorem applies locally in nondegenerate, nonresonant context, our result provides a global answer which is significant also some cases. apply abstract results to problem Celestial Mechanics. More precisely, three-dimensional version Restricted Triangular Four-Body Problem possibly different primaries show at least seven stationary points.