About the periodic solutions of a rigid body in a central Newtonian field |
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Authors: | F. M. El-Sabaa |
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Affiliation: | (1) Department of Mathematics, Faculty of Education, Ain Shams University, Egypt |
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Abstract: | The equations of motion of a rigid body about a fixed point in a central Newtonian field is reduced to the equation of plane motion under the action of potential and gyroscopic forces, using the isothermal coordinates on the inertia ellipsoid.The construction of periodic solutions near the equilibrium points, by using the Lipaunov theorem of holomorphic integral, is obtained and the necessary and sufficient conditions for the stability of the system are given. |
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Keywords: | Periodic orbits rigid body dynamics stability |
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