Periodic three-body orbits in the Coulomb potential
Computational Physics
2018-12-21 v1 Classical Physics
Abstract
We numerically discovered around 100 distinct nonrelativistic collisionless periodic three-body orbits in the Coulomb potential in vacuo, with vanishing angular momentum, for equal-mass ions with equal absolute values of charges. These orbits are classified according to their symmetry and topology, and a linear relation is established between the periods, at equal energy, and the topologies of orbits. Coulombic three-body orbits can be formed in ion traps, such as the Paul, or the Penning one, where one can test the period vs topology prediction.
Keywords
Cite
@article{arxiv.1812.08654,
title = {Periodic three-body orbits in the Coulomb potential},
author = {Marija Šindik and Ayumu Sugita and Milovan Šuvakov and V. Dmitrašinović},
journal= {arXiv preprint arXiv:1812.08654},
year = {2018}
}
Comments
6 pages, 3 figures, 1 table