Astronomy and Astrophysics – Astronomy
Scientific paper
May 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998astl...24..384v&link_type=abstract
Astronomy Letters, Volume 24, Issue 3, May 1998, pp.384-393; Pis'ma v Astronomicheskii Zhurnal, Vol. 24, p. 450
Astronomy and Astrophysics
Astronomy
1
Scientific paper
We discuss the equations for oscillations of a slowly rotating star that we have derived by using the mathematics of the theory of orthogonal spherical vectors. These equations are analyzed in the linear and local approximations for rigid rotation of the star. At low frequencies, there is a strong coupling between poloidal and toroidal perturbations and between harmonics with different numbers of nodes in latitude. When oscillations localized in a stable radiative zone are considered, quasi-poloidal, quasi-toroidal, and intermediate-type modes are possible. In the case of rigid rotation, Rossby waves have a triplet structure. We have also found an ultra-low-frequency mode which may have a bearing on the solar cycle. We give the equations that describe the splitting of high-frequency modes for an arbitrary rotation law.
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