Potential-density pairs for bent bars

Details Potential-density pairs for bent bars Potential-density pairs for bent bars

2010-12-27

arxiv.org/abs/1012.5576v1

MNRAS, 411, 2371 (2011)

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

25 pages, 8 figures, accepted for publication in MNRAS

Scientific paper

10.1111/j.1365-2966.2010.17857.x

A method is presented to bend a thin massive line when the curvature is small. The procedure is applied to a homogeneous thin bar with two types of curvatures. One of them mimics a galactic bar with two spiral arms at its tips. It is showed that if the bending function is a linear combination of Legendre polynomials, then the bent potential is an exact solution of the Laplace equation. A transformation is applied on the thin bent bars to generate three-dimensional potential-density pairs without singularities. The potentials of the thin bent bars are also used to generate non-axisymmetric planar distributions of matter.

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