Equilic quadrilateral central configurations

摘要

An equilic quadrilateral is a quadrilateral with one pair of opposite sides having the same length, which has angles of inclination whose sum is 2 pi/3. We characterize the central configurations of the 4-body problem whose four positive masses are at the vertices of equilic quadrilaterals. (C) 2019 Elsevier B.V. All rights reserved.