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A generic property of the bounded syzygy solutions

Author: Florin N. Diacu
Journal: Proc. Amer. Math. Soc. 116 (1992), 809-812
MSC: Primary 70F07
MathSciNet review: 1123650
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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.

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Keywords: $ 3$-body problem, syzygy solution, ergodic theory, Lebesgue measure
Article copyright: © Copyright 1992 American Mathematical Society

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