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<p>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.</p>

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Some convex central configurations in the planar five-body problem

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月9日

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

摘要

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.