Work

Some convex central configurations in the planar five-body problem

Year: 2026

Type: article

Abstract: Convex irregular pentagons can have one, two, or three right interior angles. There are two possibilities for the case with three right interior angles: The right angles can be consecutive or non-consecutive. This article investigates some central configurations of the five-body problem in a plane with the following properties: The bodies are at the vertices of a convex pentagon, and three interior angles of the pentagon are right angles. Central configurations are obtained both with and without symmetries.

Source: Zeitschrift für angewandte Mathematik und Physik

DOI: 10.1007/s00033-026-02777-x

Authors: Antonio Carlos Fernandes, Braulio Augusto Garcia, Luis Fernando Mello, Lucas Ruiz dos Santos

Institution: Universidade Federal de Itajubá

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,590

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Fundação de Amparo à Pesquisa do Estado de Minas Gerais, Universidade Federal de Itajubá, Universitat Autònoma de Barcelona