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We consider autonomous Newtonian systems with Coriolis forces in two andthree dimensions and study the existence of branches of periodic orbitsemanating from equilibria. We investigate both degenerate and nondegeneratesituations. While Lyapunov's center theorem applies locally in thenondegenerate, nonresonant context, equivariant degree theory provides a globalanswer which is significant also in some degenerate cases.  We apply our abstract results to a problem from Celestial Mechanics. Moreprecisely, in the three-dimensional version of the Restricted Triangular FourBody Problem with possibly different primaries our results show the existenceof at least seven branches of periodic orbits emanating from the stationarypoints.

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