Hypocycloid motion in the Melvin magnetic universe
General Relativity and Quantum Cosmology
2020-05-19 v2
Abstract
The trajectory of a charged test particle in the Melvin magnetic universe is shown to take the form of hypocycloids in two different regimes, first of which is the class of perturbed circular orbits, and secondly in the weak-field approximation. In the latter case we find a simple relation between the charge of the particle and the number of cusps. These two regimes are within a continuously connected family of deformed hypocycloid-like orbits parametrised by the magnetic flux strength of the Melvin spacetime.
Keywords
Cite
@article{arxiv.2004.08027,
title = {Hypocycloid motion in the Melvin magnetic universe},
author = {Yen-Kheng Lim},
journal= {arXiv preprint arXiv:2004.08027},
year = {2020}
}
Comments
18 pages, 4 figures. Typos corrected. Introduction and conclusion improved thanks to the suggestions of the anonymous referee