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We present accurate models of the gravitational potential produced by aradially exponential disk mass distribution. The models are produced bycombining three separate Miyamoto-Nagai disks. Such models have been usedpreviously to model the disk of the Milky Way, but here we extend thisframework to allow its application to disks of any mass, scalelength, and awide range of thickness from infinitely thin to near spherical (ellipticitiesfrom 0 to 0.9). The models have the advantage of simplicity of implementation,and we expect faster run speeds over a double exponential disk treatment. Thepotentials are fully analytical, and differentiable at all points. The massdistribution of our models deviates from the radial mass distribution of a pureexponential disk by <0.4% out to 4 disk scalelengths, and <1.9% out to 10 diskscalelengths. We tabulate fitting parameters which facilitate construction ofexponential disks for any scalelength, and a wide range of disk thickness (auser-friendly, web-based interface is also available). Our recipe is wellsuited for numerical modelling of the tidal effects of a giant disk galaxy onstar clusters or dwarf galaxies. We consider three worked examples; the MilkyWay thin and thick disk, and a disky dwarf galaxy.

Simple and accurate modelling of the gravitational potential produced by thick and thin exponential disks