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Relative equilibrium stability of a space station consisting of two solid bodies connected by an elastic rod

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Abstract

The problem is considered for stability of a relative equilibrium of a mechanical system in orbit that consists of two solid bodies connected by a thin inextensible elastic rod. The problem for stability of a relative equilibrium position reduces to the problem of a minimum of a changed potential system energy comprising the potential energy of elastic, gravitational and centrifugal forces.

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Authors and Affiliations

  1. Research Institute of Mechanics, Moscow State University, Moscow, Russia

    V. M. Morozov & A. V. Il’inskaya

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  1. V. M. Morozov
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  2. A. V. Il’inskaya
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Original Russian Text © V.M. Morozov, A.V. Il’inskaya, 2013, published in Avtomatika i Telemekhanika, 2013, No. 8, pp. 103–111.

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Morozov, V.M., Il’inskaya, A.V. Relative equilibrium stability of a space station consisting of two solid bodies connected by an elastic rod. Autom Remote Control 74, 1318–1325 (2013). https://doi.org/10.1134/S0005117913080080

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  • DOI: https://doi.org/10.1134/S0005117913080080

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