Analytical potential-density pairs from complex-shifted Kuzmin-Toomre discs

Details Analytical potential-density pairs from complex-shifted Kuzmin-Toomre discs Analytical potential-density pairs from complex-shifted Kuzmin-Toomre discs

2009-08-06

arxiv.org/abs/0908.0872v1

MNRAS, 398, 1563 (2009)

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

20 pages, 7 figures, accepted for publication in MNRAS

Scientific paper

10.1111/j.1365-2966.2009.15217.x

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.

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