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On the global families of periodic solutions of a generalized Sitnikov problem

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Abstract

In this work, we study the existence of global families of symmetric periodic solutions of a generalized Sitnikov problem that bifurcate from equilibrium \(z=0\). For global families emerging from a circular generalized Sitnikov problem, we study whether they continue for all values of eccentricity \(e\in [0,1)\) or ends in equilibrium.

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  1. Dpto. de Matemática, Facultad de Ciencias Exactas Físico-Químicas y Naturales, Universidad Nacional de Río Cuarto, 5800, Río Cuarto, Córdoba, Argentina

    Gastón Beltritti

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Beltritti, G. On the global families of periodic solutions of a generalized Sitnikov problem. Celest Mech Dyn Astr 134, 18 (2022). https://doi.org/10.1007/s10569-022-10068-6

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