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Analytical potential–density pairs from complex-shifted Kuzmin–Toomre discs
Authors:D Vogt  P S Letelier
Institution:Departamento de Matemática Aplicada-IMECC, Universidade Estadual de Campinas 13083-970 Campinas, S. P., Brazil
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.
Keywords:galaxies: kinematics and dynamics
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