Geodesic
Relative equilibrium stability of a mechanical system with deformable elements in a circular orbit
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2014), pp. 60-65

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The stability problem for the relative equilibrium of a system in an orbit is considered. The system consists of two rigid bodies connected by a thin inextensible elastic rod. The stability problem for the steady motions is reduced to the minimization problem for the system's potential energy consisting of the potential energy of elastic, gravitational, and centrifugal forces. 
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     author = {A. V. Il'inskaya},
     title = {Relative equilibrium stability of a mechanical system with deformable elements in a circular orbit},
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A. V. Il'inskaya. Relative equilibrium stability of a mechanical system with deformable elements in a circular orbit. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2014), pp. 60-65. http://geodesic.mathdoc.fr/item/VMUMM_2014_1_a10/