Resumen de Stationary solutions and their stabilities of a particular three-body problem

Halina Pretka-Ziomek, Manuel Pedro Palacios Latasa, Antonio Elipe Sánchez

• The equations of motion of a three-body problem made of a dumb-bell (two masses at fixed distance) moving around a central mass under gravitational attraction have been stablished. Linear and isosceles stationary solutions of these equations have been studied and sufficinet conditions for the stability have been found in terms of Lyapunov's stability funstions.