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

W. A. Dziembowski, Philip R. Goode

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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.

Original languageEnglish (US)
Pages (from-to)670-687
Number of pages18
JournalAstrophysical Journal
Issue number2
StatePublished - 1992

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science


  • Stars: oscillations
  • Stars: rotation
  • Sun: oscillations


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