Stability of the Libration Points for Restricted Three-body Problem

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The three body problem is one important object of space dynamics, because this problem has many applications on space dynamics objects. Also this problem attract many scientist during last three centuries. The motion of space craft around binary asteroid can be consider as restricted three body problem so that, the treatment this object was done. Where equations of motioncan be solved by using numerical integration methods (Runge Kutta fourth order).