1304.6369 (Andrzej J. Maciejewski et al.)

Non-integrability of the dumbbell and point mass problem    [PDF]

Andrzej J. Maciejewski, Maria Przybylska, Leon Simpson, Wojciech Szumiński

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.

View original: http://arxiv.org/abs/1304.6369