Analytical Expressions for Spiral Arm Gravitational Potential and Density

Details Analytical Expressions for Spiral Arm Gravitational Potential and Density Analytical Expressions for Spiral Arm Gravitational Potential and Density

2002-07-29

arxiv.org/abs/astro-ph/0207635v1

Astrophys.J.Suppl. 142 (2002) 261-268

Astronomy and Astrophysics

Astrophysics

23 pages, 15 figures. Accepted for publication in ApJS

Scientific paper

10.1086/341946

When modeling the three-dimensional hydrodynamics of interstellar material rotating in a galactic gravitational potential, it is useful to have an analytic expression for gravitational perturbations due to stellar spiral arms. We present such an expression for which changes in the assumed characteristics of the arms can be made easily and the sensitivity of the hydrodynamics to those characteristics examined. This analytic expression also makes it easy to rotate the force field at the pattern angular velocity with little overhead on the calculations.

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