Invariant mass approach to the spiral structure of galaxies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Density Wave Model, Galactic Structure, Spiral Galaxies, Adiabatic Conditions, Approximation, Gravitational Fields, Perturbation Theory

Scientific paper

It has been suggested (Thielheim, 1980) that trailing spiral density waves in stellar disks may be produced as a response to the increase with time of a central elongated mass distribution rotating at a constant angular velocity in the center of a stellar disk. The present paper describes a simple procedure for estimating the shape of the density response in a stellar disk for given structures of the background and perturbing gravitational fields. The procedure is based on the first-order epicyclic and adiabatic approximation.

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