The density response of a stellar disk to growing oval mass distributions - The exponential mass model in first order epicyclic approximation

Astronomy and Astrophysics – Astrophysics

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Astronomical Models, Galactic Structure, Stellar Mass, Stellar Rotation, Density Wave Model, Equations Of Motion, Mass Distribution, Stellar Gravitation

Scientific paper

The paper calculates the shape of the density response of a non-self-gravitating stellar component of a model galaxy to an imposed rotating, growing oval density perturbation. Exponential mass distributions for the axisymmetric disk and the oval perturbation are assumed. The related gravitational potentials in the disk are calculated by Hankel transformations of the adopted mass distributions, and the linear epicyclic approximation is used to describe the motion of the stars. The form of the density response is calculated by superposition of dispersion rings. The response is calculated by superposition of dispersion rings. The response is found to a two-armed, trailing, open spiral density wave, except at certain ranges, where the epicyclic approximation fails due to prominent higher-order terms.

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