Hill regions of charged three-body systems
Dynamical Systems
2021-12-15 v1
Abstract
For charged three-body systems, we discuss the configurations and orientations that are admissible for given values of the conserved total energy and angular momentum. The admissible configurations and orientations are discussed on a configuration space that is reduced by the translational, rotational and dilation symmetries of charged three-body systems. We consider the examples of the charged three-body systems given by the helium atom (two electrons and a nucleus) and the compound of two electrons and one positron. For comparison, the well known example of the Newtonian gravitational three-body system is discussed for the scheme presented in this paper first.
Keywords
Cite
@article{arxiv.2112.07032,
title = {Hill regions of charged three-body systems},
author = {Igor Hoveijn and Holger Waalkens and Mohammad Zaman},
journal= {arXiv preprint arXiv:2112.07032},
year = {2021}
}
Comments
41 pages, 14 figures