Some convex central configurations in the planar five-body problem.

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Title: Some convex central configurations in the planar five-body problem.
Authors: Fernandes, Antonio Carlos1 (AUTHOR) acfernandes@unifei.edu.br, Garcia, Braulio Augusto1 (AUTHOR) braulio@unifei.edu.br, Mello, Luis Fernando1 (AUTHOR) lfmelo@unifei.edu.br, Santos, Lucas Ruiz dos1 (AUTHOR) lucasruiz@unifei.edu.br
Source: Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Apr2026, Vol. 77 Issue 4, p1-15. 15p.
Subjects: Pentagons, Plane geometry, Three-body problem, Celestial mechanics
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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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. [ABSTRACT FROM AUTHOR]
ISSN:00442275
DOI:10.1007/s00033-026-02777-x