Analytical potential-density pairs from complex-shifted Kuzmin-Toomre discs
Astrophysics of Galaxies
2010-06-16 v1
Abstract
The complex-shift method is applied to the Kuzmin-Toomre family of discs to generate a family of non-axisymmetric flat distributions of matter. These are then superposed to construct non-axisymmetric flat rings. We also consider triaxial potential-density pairs obtained from these non-axisymmetric flat systems by means of suitable transformations. The use of the imaginary part of complex-shifted potential-density pairs is also discussed.
Cite
@article{arxiv.0908.0872,
title = {Analytical potential-density pairs from complex-shifted Kuzmin-Toomre discs},
author = {D. Vogt and P. S. Letelier},
journal= {arXiv preprint arXiv:0908.0872},
year = {2010}
}
Comments
20 pages, 7 figures, accepted for publication in MNRAS