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arxiv: 1304.6369 · v1 · pith:JWOS5WNOnew · submitted 2013-04-23 · 🌊 nlin.CD · math-ph· math.DS· math.MP· nlin.SI

Non-integrability of the dumbbell and point mass problem

classification 🌊 nlin.CD math-phmath.DSmath.MPnlin.SI
keywords dumbbellnon-integrabilitypointproblemconstraineddifferentialdiscussesform
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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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