A generic property of the bounded syzygy solutions
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- by Florin N. Diacu PDF
- Proc. Amer. Math. Soc. 116 (1992), 809-812 Request permission
Abstract:
For a set of masses having positive measure, excepting eventually a negligible set of initial conditions, every noncollinear bounded solution of the planar three-body problem that has a syzygy configuration encounters an infinity of such configurations. Along a noncollinear syzygy solution, the set of syzygy configuration instants is discrete.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 809-812
- MSC: Primary 70F07
- DOI: https://doi.org/10.1090/S0002-9939-1992-1123650-1
- MathSciNet review: 1123650