الفهرس 
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Abstract
In this thesis we study two main problems the first problrm is the planer motion of rigid body supported by a mass-less spring moving on an ellips. an approximate analytic solution for the problrm has been obtaind by using the small parameter method. five example have been solved numerically by using the fourth order Runge-Kutta method the obtained numerical results have been compared by the approximate analytic solution and we have that they fit together to a very high extent in allmost .