Equilibrium Configurations of a Four-Body Tethered System A.A. Correa and G. Gomez Abstract. The present paper studies the equilibrium configurations of a four body tethered system. The study is based on the analytical development done by Misra for the three-body system. Once the equilibrium solutions of this last problem are known, then the basic idea is to continue these solutions when one of the bodies of the system splits into two pieces. The continuation procedure introduced can be extended to a n-body system.