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Potential-density pairs for galaxy discs with exponential or sech$^2$ vertical profile (2501.05916v1)

Published 10 Jan 2025 in astro-ph.GA

Abstract: We present axially symmetric analytical potential-density pairs with surface density similar to the Miyamoto-Nagai model, but with more realistic vertical structure. Our models closely approximate an exponential, a sech$2$, or a cored exponential vertical density profile. The latter profile has a density core of adjustable width, which provides more flexibility when modelling galaxy discs.

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