Abstract
In this paper, the problem of the motion of n gyrostats in a central field, with relative momenta ℓ rk (k=1, 2, ..., n) functions of the time, is considered.
In these conditions, the existence of the linear and angular momentum integrals is established.
Moreover, a sufficient condition for the existence of the Jacobi's Integral is given. This study generalizes the results given by Duboshin for n rigid bodies.
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References
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Vigueras, A.: 1983, Movimiento rotatorio de giróstatos y aplicaciones, Tesis doctoral, University of Zaragoza.
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Cid, R., Vigueras, A. About the problem of motion of n gyrostats: I. The first integrals. Celestial Mechanics 36, 155–162 (1985). https://doi.org/10.1007/BF01230648
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DOI: https://doi.org/10.1007/BF01230648