Abstract

view Abstract Citations (30) References (8) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Analytical Potentials for Barred Galaxies Long, Kevin ; Murali, Chigurupati Abstract 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. Publication: The Astrophysical Journal Pub Date: September 1992 DOI: 10.1086/171764 Bibcode: 1992ApJ...397...44L Keywords: Astronomical Models; Barred Galaxies; Celestial Mechanics; Galactic Structure; Gravitational Fields; Potential Theory; Ellipsoids; Prolateness; Quadrupoles; Astrophysics; GALAXIES: KINEMATICS AND DYNAMICS full text sources ADS |

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