Analytical Potential-Density Pairs for Flat Rings and Toroidal Structures
Astrophysics of Galaxies
2014-11-20 v1
Abstract
The Kuzmin-Toomre family of discs is used to construct potential-density pairs that represent flat ring structures in terms of elementary functions. Systems composed of two concentric flat rings, a central disc surrounded by one ring and a ring with a centre of attraction are also presented. The circular velocity of test particles and the epicyclic frequency of small oscillations about circular orbits are calculated for these structures. A few examples of three-dimensional potential-density pairs of "inflated" flat rings (toroidal mass distributions) are presented.
Cite
@article{arxiv.0906.0919,
title = {Analytical Potential-Density Pairs for Flat Rings and Toroidal Structures},
author = {D. Vogt and P. S. Letelier},
journal= {arXiv preprint arXiv:0906.0919},
year = {2014}
}
Comments
25 pages, 11 figures, accepted for publication in MNRAS