Journal Article

Analysis of Adiabatic Dipolar Oscillations of Stars

Masao Takata

in Publications of the Astronomical Society of Japan

Volume 58, issue 5, pages 893-908
Published in print October 2006 | ISSN: 0004-6264
Published online October 2006 | e-ISSN: 2053-051X | DOI: http://dx.doi.org/10.1093/pasj/58.5.893
Analysis of Adiabatic Dipolar Oscillations of Stars

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  • Astronomical Instrumentation, Methods, and Techniques
  • Solar Physics
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We theoretically discuss adiabatic dipolar oscillations of stars, fully taking into account the variation in the gravitational field. By suitably choosing the dependent variables, and using the first integral specific to dipolar oscillations, we derive the second-order system of ordinary differential equations, which is the same in form as that obtained by neglecting the Eulerian perturbation to the gravitational potential. The derived system suggests that the conventional expressions of the critical frequencies should be corrected. In addition, we present a rigorous scheme to classify the dipolar eigenmodes of linear adiabatic oscillations of spherically symmetric stars.

Keywords: methods: analytical; stars: oscillations; stars: variables: delta Scuti; stars: variables: general; Sun: oscillations

Journal Article.  11428 words.  Illustrated.

Subjects: Astronomical Instrumentation, Methods, and Techniques ; Solar Physics ; Stars

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