Abstract
First is discussed an extension, to cases of more than three bodies, of Poincaré’s first and second sorts of periodic solutions in the three-body problem. Then are described some symmetry properties of periodic solutions in the general problem of three bodies. Finally an application of librations about periodic solutions in the restricted problem throws light on the understanding of the long-period oscillation in the orbital period of Hailey’s comet.
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© 1985 D. Reidel Publishing Company
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Message, P.J. (1985). Some Results of Resonance and Periodic Motions. In: Szebehely, V.G. (eds) Stability of the Solar System and Its Minor Natural and Artificial Bodies. NATO ASI Series, vol 154. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5398-7_14
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DOI: https://doi.org/10.1007/978-94-009-5398-7_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8883-1
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