Potential-density pairs for galaxy discs with exponential or sech2 vertical profile

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 sech2, 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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