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Analytical Expressions for Spiral Arm Gravitational Potential and Density
Author(s) -
D. P. Cox,
Gilberto C. Gómez
Publication year - 2002
Publication title -
the astrophysical journal supplement series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.546
H-Index - 277
eISSN - 1538-4365
pISSN - 0067-0049
DOI - 10.1086/341946
Subject(s) - physics , gravitational field , gravitation , spiral (railway) , expression (computer science) , spiral galaxy , classical mechanics , gravitational potential , angular velocity , field (mathematics) , mechanics , astrophysics , stars , mathematical analysis , computer science , mathematics , pure mathematics , programming language
When modeling the three-dimensional hydrodynamics of interstellar materialrotating in a galactic gravitational potential, it is useful to have ananalytic expression for gravitational perturbations due to stellar spiral arms.We present such an expression for which changes in the assumed characteristicsof the arms can be made easily and the sensitivity of the hydrodynamics tothose characteristics examined. This analytic expression also makes it easy torotate the force field at the pattern angular velocity with little overhead onthe calculations.Comment: 23 pages, 15 figures. Accepted for publication in ApJ

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