Dynamics of a gyrostat on cylindrical and inclined Eulerian equilibria in the three-body problem

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• 作者：Juan L.G. Guirao ; Juan A. Vera
• 关键词：Hamiltonian system ; Three-body problem ; Gyrostat ; Eulerian equilibria
• 刊名：Acta Astronautica
• 出版年：2010
• 出版时间：February-March 2010
• 年：2010
• 卷：66
• 期：3-4
• 页码：595-604
• 全文大小：345 K

文摘

The aim of the present paper is to analyze the roto-translational non-canonical Hamiltonian dynamics of a gyrostat in the frame of the three-body problem. Working on the reduced problem and using geometrical and mechanics methods we describe the Eulerian equilibria and study their bifurcations in the dynamics of a gyrostat in Newtonian interaction with two rigid bodies. Moreover, if the gyrostat form is close to a sphere the linear instability of the Eulerian relative equilibria is stated. Finally, we describe the rotational Poisson dynamics and provide sufficient conditions for the non-linear stability in the Eulerian relative equilibria of cylindrical and inclined type.