A note on the asymptotic density-potential relation of a spiral galaxy with a finite thickness

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Asymptotic Series, Density Wave Model, Galactic Structure, Spiral Galaxies, Astronomical Models, Series Expansion

Scientific paper

Asymptotic relations are derived for the gravitational potential
perturbation and the surface density perturbation for a spiral galaxy
with small vertical scale height. Analytical results for various
vertical density profiles are presented and their accuracy is discussed.

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