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Low-Frequency Oscillations in Rotating Stars

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Studying Stellar Rotation and Convection

Part of the book series: Lecture Notes in Physics ((LNP,volume 865))

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Abstract

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 \(|\varOmega/\omega|\not\ll1\), 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.

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  1. Astronomical Institute, Tohoku University, Sendai, Miyagi, 980-8578, Japan

    Umin Lee

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  1. LESIA, Observatoire de Paris-Meudon, place Jules Janssen, batiment 14 5, Meudon Cedex, 92195, France

    Mariejo Goupil

  2. LESIA, Observatoire de Paris-Meudon, place Jules Janssen 5, Meudon Cedex, 92195, France

    Kévin Belkacem

  3. LESIA, Observatoire de Paris-Meudon, place Jules Janssen, batiment 14 5, Meudon Cedex, 92195, France

    Coralie Neiner

  4. Institut de Recherche en Astrophysique, et Planétologie, Observatoire Midi-Pyrénées, avenue Édouard Belin 14, Toulouse, 31400, France

    Francois Lignières

  5. Observatoire de Paris-Meudon, LESIA, Place Jules Janssen 5, Meudon, 92190, France

    John J. Green

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Lee, U. (2013). Low-Frequency Oscillations in Rotating Stars. In: Goupil, M., Belkacem, K., Neiner, C., Lignières, F., Green, J. (eds) Studying Stellar Rotation and Convection. Lecture Notes in Physics, vol 865. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33380-4_7

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