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The restricted problem of three bodies with rigid dumb-bell satellite

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Abstract

This paper is concerned with an extension of the classical restricted problem of three bodies in three dimensions. Usually, the satellite is considered to be a point mass. Here, the satellite is assumed to have a simple structure. The equations of motion are obtained and some of their consequences are discussed.

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References

  • Kane, T. R. and Marsh, E. L.: 1971,Celes. Mech. 4, 78–90.

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  • Strong, J.: 1972,Spaceflight 14, 143.

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  • Szebehely, V.: 1967,Theory of Orbits, Academic Press.

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Authors and Affiliations

  1. Dept. of Mathematics, University of Bradford, Bradford, England

    W. J. Robinson

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  1. W. J. Robinson
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Robinson, W.J. The restricted problem of three bodies with rigid dumb-bell satellite. Celestial Mechanics 8, 323–330 (1973). https://doi.org/10.1007/BF01231434

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  • DOI: https://doi.org/10.1007/BF01231434

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