Non-integrability of the dumbbell and point mass problem
Chaotic Dynamics
2015-06-15 v1 Mathematical Physics
Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1304.6369,
title = {Non-integrability of the dumbbell and point mass problem},
author = {Andrzej J. Maciejewski and Maria Przybylska and Leon Simpson and Wojciech Szumiński},
journal= {arXiv preprint arXiv:1304.6369},
year = {2015}
}
Comments
15 pages, 4 figures