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Attitude stability of a rigid body placed at an equilibrium point in the restricted problem of three bodies

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Abstract

This paper is based on the restricted problem of three bodies with the unusual feature that the lightest particle is replaced by a rigid body.

The attitude stability of the body is considered when its centre of mass is located at one of the equilibrium points. The stable attitude is determined when the satellite is stationary relative to the primaries. It is found that for some bodies there are two such attitudes, and these are determined.

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References

  • De Bra, D. B. and Delp, R. H.: 1961,J. Astronaut. Sci. 8, 14.

    Google Scholar 

  • Kane, T. R. and Marsh, E. L.: 1971,Celes. Mech. 4, 78.

    Google Scholar 

  • Kane, T. R., Marsh, E. L., and Wilson, W. G.: 1963,J. Astronaut. Sci. 9, 108.

    Google Scholar 

  • Robinson, W. J.: 1973a,Celes. Mech. 8, 323.

    Google Scholar 

  • Robinson, W. J.: 1973b, in B. D. Tapley and V. Szebehely (eds.),Recent Advances in Dynamical Astronomy, D. Reidel Publ. Co., Dordrecht, pp. 457–460.

    Google Scholar 

  • Szebehely, V.: 1967, Theory of Orbits, Academic Press, New York and London.

    Google Scholar 

  • Szebehely, V. and Williams, C. A.: 1964,Astron. J. 69, 460.

    Google Scholar 

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Authors and Affiliations

  1. University of Bradford, Bradford, Yorkshire, England

    W. J. Robinson

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  1. W. J. Robinson
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Robinson, W.J. Attitude stability of a rigid body placed at an equilibrium point in the restricted problem of three bodies. Celestial Mechanics 10, 17–33 (1974). https://doi.org/10.1007/BF01261876

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  • DOI: https://doi.org/10.1007/BF01261876

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