Details

Autor(en) / Beteiligte

• Gołȩbiewska, Anna
• Pérez-Chavela, Ernesto
• Rybicki, Sławomir
• Ureña, Antonio J.

Titel

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

Ist Teil von

• Journal of Differential Equations, 2022-11, Vol.338, p.441-473

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2022

Quelle

Elsevier ScienceDirect Journals

Beschreibungen/Notizen

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