A tangential trapezoid, also called a circumscribed trapezoid, is a trapezoid whose
four sides are all tangent to a circle within the trapezoid: the in-circle or inscribed circle. In
this paper we classify all planar four-body central configurations, where the four bodies are at
the vertices of a tangential trapezoid.
Keywords:
convex central configuration, four-body problem, tangential trapezoid
Citation:
Yuan P., Llibre J., Tangential Trapezoid Central Configurations, Regular and Chaotic Dynamics,
2020, Volume 25, Number 6,
pp. 651-661