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Bifurcations and enumeration of central configurations of some planar restricted problems

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Abstract

In this work, we count (classes of) central configurations of the restricted \((5+1)\) and \((4+1)\)-body problems whose primaries form either a centered square or a centered equilateral triangle. More precisely, we count the central configurations formed by the centered polygons and a body of zero mass as the value of the mass of the central body varies. For this purpose, we study the bifurcation set. In addition, we classify the bifurcations as saddle-node bifurcations.

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  1. Departamento de Ciências Exatas (DEXA), Universidade Estadual de Feira de Santana (UEFS), Av. Transnordestina, S/N, Novo Horizonte, Feira de Santana, Bahia, 44.036-900, Brazil

    Jean Fernandes Barros

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Barros, J.F. Bifurcations and enumeration of central configurations of some planar restricted problems. Celest Mech Dyn Astron 135, 12 (2023). https://doi.org/10.1007/s10569-023-10127-6

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