Non-integrability of the dumbbell and point mass problem

Published 23 Apr 2013 in nlin.CD, math-ph, math.DS, math.MP, and nlin.SI | (1304.6369v1)

Abstract: This paper discusses a constrained gravitational three-body problem with two of the point masses separated by a massless inflexible rod to form a dumbbell. The non-integrability of this system is proven using differential Galois theory.

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