Halina Pretka-Ziomek, Manuel Pedro Palacios Latasa , Antonio Elipe Sánchez
The equations of motion of one three-body problem composed of a dumb-bell (two masses at fixed distance) moving around a central mass under gravitational effects have been stablished. Conic stationary solutions of these equations have been studied and sufficient conditions for stability has been found in term of Lyapunov¿s stability functions
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