Analytical potential-density pairs for bars

Details Analytical potential-density pairs for bars Analytical potential-density pairs for bars

2010-08-14

arxiv.org/abs/1008.2424v1

MNRAS 408, 1649-1657 (2010)

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

18 pages, 8 figures, accepted for publication in MNRAS

Scientific paper

10.1111/j.1365-2966.2010.17232.x

An identity that relates multipolar solutions of the Einstein equations to Newtonian potentials of bars with linear densities proportional to Legendre polynomials is used to construct analytical potential-density pairs of infinitesimally thin bars with a given linear density profile. By means of a suitable transformation, softened bars that are free of singularities are also obtained. As an application we study the equilibrium points and stability for the motion of test particles in the gravitational field for three models of rotating bars.

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