Low-frequency oscillations in rotating stars

Umin Lee

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)


We review the properties of low-frequency oscillations in uniformly rotating stars. Rotation not only yields a new class of modes, like inertial modes and r-modes, but also significantly modifies the properties of low-frequency g-modes. For slow rotation rates where |Ω/ω| ≪ 1, we can treat the rotation frequency Ω as a small parameter for perturbation analysis, but for |Ω/ω| ≮< 1, we have to properly solve the oscillation equation given as a set of partial differential equations, taking account of the effects of the Coriolis force and the centrifugal force, where ω stands for the oscillation frequency observed in the corotating frame of the star. The Coriolis force couples modes having different spherical harmonic degrees l, and the centrifugal force deforms the equilibrium structure. Rapid rotation affects the stability and the frequency of low-frequency modes. We discuss perturbation theory, the traditional approximation, linear mode coupling, series expansion methods, and weakly nonlinear calculations, which are applied to low-frequency modes in rotating stars.

Original languageEnglish
Title of host publicationStudying Stellar Rotation and Convection
Subtitle of host publicationTheoretical Background and Seismic Diagnostics
PublisherSpringer Verlag
Number of pages25
ISBN (Print)9783642333798
Publication statusPublished - 2013

Publication series

NameLecture Notes in Physics
ISSN (Print)0075-8450

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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