The stability of coplanar three-body systems with application to the solar system |
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Authors: | J. R. Donnison I. P. Williams |
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Affiliation: | 1. Department of Mathematics, Goldsmiths' College, University of London, London, UK 2. Department of Applied Mathematics, Queen Mary College, University of London, London, UK
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Abstract: | The c2H condition for determining the Hill stability of coplanar three-body systems is analysed for the particular situation where the primary mass is much greater than the other two. It is found that in this event the criterion can be expressed in a closed form. This is applied to three-body subsets of the Solar System. |
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