Bicentric quadrilateral central configurations

Jaume Llibre, Pengfei Yuan

Research output: Contribution to journalArticleResearch


© 2019 Elsevier Inc. A bicentric quadrilateral is a tangential cyclic quadrilateral. In a tangential quadrilateral, the four sides are tangents to an inscribed circle, and in a cyclic quadrilateral the four vertices lie on a circumscribed circle. In this paper, we classify all planar central configurations of the 4-body problem, where the four bodies are at the vertices of a bicentric quadrilateral.
Original languageEnglish
Article number124507
JournalApplied Mathematics and Computation
Publication statusPublished - 1 Dec 2019


  • Bicentric quadrilateral
  • Convex central configuration
  • Four-body problem


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