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arXiv · 1304.6369

Non-integrability of the dumbbell and point mass problem

Andrzej J. Maciejewski·Maria Przybylska·Leon Simpson·Wojciech Szumiński
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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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Andrzej J. Maciejewski, Maria Przybylska, Leon Simpson, Wojciech Szumiński. 2013-04-23. Non-integrability of the dumbbell and point mass problem. https://doi.org/10.1007/s10569-013-9514-7

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