Some convex central configurations in the planar five-body problem
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.
Authors
- Luis Fernando Mello (ORCID: https://orcid.org/0000-0002-4989-3052)
- Bráulio Augusto Garcia (ORCID: https://orcid.org/0000-0001-5120-233X)
- Lucas Ruiz dos Santos (ORCID: https://orcid.org/0000-0002-5705-5278)
- Antonio Carlos Fernandes
Institutions
- Universidade Federal de Itajubá (BR)
Publication Details
- Journal
- Zeitschrift für angewandte Mathematik und Physik
- Published
- 2026-04-01
- DOI
- https://doi.org/10.1007/s00033-026-02777-x
- Primary Topic
- Spacecraft Dynamics and Control
- Type
- article
- Field-Weighted Citation Impact
- 0.00
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