Non-integrability of the dumbbell and point mass problem
arXiv:1304.6369 · doi:10.1007/s10569-013-9514-7
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.
arXiv comment15 pages, 4 figures
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