Analytical potentials for barred galaxies

Details Analytical potentials for barred galaxies Analytical potentials for barred galaxies

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...397...44l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 397, no. 1, p. 44-48.

Astronomy and Astrophysics

Astrophysics

12

Astronomical Models, Barred Galaxies, Celestial Mechanics, Galactic Structure, Gravitational Fields, Potential Theory, Ellipsoids, Prolateness, Quadrupoles

Scientific paper

We present simple, analytical, prolate, and triaxial potential-density pairs in three dimensions. The potentials are convolutions of the density of a thin 'needle' with a softened potential; the density is everywhere positive. Each choice of softening model and needle density generates a family of models that vary between the extremes of a needle and a sphere. With appropriate choices of the needle density and softening model, the potential can be found in terms of elementary functions. The softening potential need not be spherically symmetric; triaxial models can be constructed in this way. We derive a prolate model that reduces to the Plummer sphere and a triaxial model that reduces to the Miyamoto-Nagai disk. Formulae are given for the forces and projected surface densities.

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