Effects of differential rotation on stellar oscillations: A second-order theory

Document Type

Article

Publication Date

1-1-1992

Abstract

A complete formalism, valid through second order in differential rotation, is developed and applied to calculate the frequencies of stellar oscillations. We improved the derivation and generalized the asymptotic formulae for g-mode splittings. In application to solar oscillations, we find that the second-order effects are dominated by distortion for l < 500. Further, these effects are sufficiently large that they must be accounted for in any effort to seismically determine the Sun's internal magnetic field. In the solar oscillation spectrum, accidental degeneracies happen but cannot lead to large frequency shifts. For evolved δ Scuti stars, calculated spectra are dense, and, under the perturbing effect of rotation, members of neighboring multiplets may overlap. The seismic potential of modes of mixed p-mode and g-mode character is emphasized for these stars.

Identifier

0001147545 (Scopus)

Publication Title

Astrophysical Journal

External Full Text Location

https://doi.org/10.1086/171621

e-ISSN

15384357

ISSN

0004637X

First Page

670

Last Page

687

Issue

2

Volume

394

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