Fixed points and the inverse problem for central configurations
Dynamical Systems
2020-07-06 v1
Abstract
Central configurations play an important role in the dynamics of the -body problem: they occur as relative equilibria and as asymptotic configurations in colliding trajectories. We illustrate how they can be found as projective fixed points of self-maps defined on the shape space, and some results on the inverse problem in dimension , i.e. finding (positive or real) masses which make a given collinear configuration central. This survey article introduces readers to the recent results of the author, also unpublished, showing an application of the fixed point theory.
Cite
@article{arxiv.2007.01741,
title = {Fixed points and the inverse problem for central configurations},
author = {D. L. Ferrario},
journal= {arXiv preprint arXiv:2007.01741},
year = {2020}
}