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- Publisher
- Springer Journals
- Copyright
- Copyright © 2016 by Springer Science+Business Media Dordrecht
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Statistical Physics, Dynamical Systems and Complexity; Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-016-0042-9
- Publisher site
- See Article on Publisher Site
Abstract
Enumeration problems for the central configurations of the Newtonian n $n$ body problem are hard for n > 3 $n>3$ in R 2 $\mathbb{R}^{2}$ and n > 4 $n>4$ in R 3 $\mathbb{R}^{3}$ . These are problems in finding the numbers of classes of central configurations for all the masses in a parameter space of positive dimensions. Many results are obtained generically. That is, rigorous proofs of the counting problems only exists for parameters not at the bifurcation points. For the bifurcation points, only numerical evidences are provided due to the complexity of the problems.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Jan 19, 2016