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Symmetries, Reduction and Relative Equilibria for a Gyrostat in the Three-Body Problem

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Dynamics of Natural and Artificial Celestial Bodies

Abstract

The problem of three bodies when one of them is a gyrostat is considered. Using the symmetries of the system we carry out two reductions. Global considerations about the conditions for relative equilibria are made. Finally, we restrict to an approximated model of the dynamics and a complete study of the relative equilibria is made.

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Correspondence to A. Vigueras .

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© 2001 Springer Science+Business Media Dordrecht

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Mondéjar, F., Vigueras, A., Ferrer, S. (2001). Symmetries, Reduction and Relative Equilibria for a Gyrostat in the Three-Body Problem. In: Pretka-Ziomek, H., Wnuk, E., Seidelmann, P.K., Richardson, D.L. (eds) Dynamics of Natural and Artificial Celestial Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1327-6_5

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  • DOI: https://doi.org/10.1007/978-94-017-1327-6_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5865-2

  • Online ISBN: 978-94-017-1327-6

  • eBook Packages: Springer Book Archive

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