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Symmetric Periodic Orbits in Three Sub-Problems of the N-body Problem (1311.4209v1)
Published 17 Nov 2013 in math.DS, math-ph, and math.MP
Abstract: We study three sub-problems of the N-body problem that have two degrees of freedom, namely the n-pyramidal problem, the planar double-polygon problem, and the spatial double-polygon problem. We prove the existence of several families of symmetric periodic orbits, including ``Schubart-like" orbits and brake orbits, by using topological shooting arguments.
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