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- W2104249150 abstract "The purpose of this article is two fold. First, we show how quasi-periodic solutions for the N-body problem can be constructed by variational methods. We illustrate this by constructing uncountably many quasi-periodic solutions for the four- and six-body problems with equal masses. Second, we show by examples that a system of N masses can possess infinitely many simple or multiple choreographic solutions. In particular, it is shown that the four-body problem with equal masses has infinitely many double choreographic solutions and the six-body problem with equal masses has infinitely many simple and double choreographic solutions. Our approach is based on the technique of binary decomposition and some variational properties of Keplerian orbits." @default.
- W2104249150 created "2016-06-24" @default.
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- W2104249150 date "2003-12-01" @default.
- W2104249150 modified "2023-10-18" @default.
- W2104249150 title "Variational methods on periodic and quasi-periodic solutions for the N-body problem" @default.
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- W2104249150 doi "https://doi.org/10.1017/s0143385703000245" @default.
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