Asymptotic Approximations For Low-frequency G-modes Of Stars

Details Asymptotic Approximations For Low-frequency G-modes Of Stars Asymptotic Approximations For Low-frequency G-modes Of Stars

May 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aas...210.4506k&link_type=abstract

American Astronomical Society Meeting 210, #45.06; Bulletin of the American Astronomical Society, Vol. 39, p.160

Astronomy and Astrophysics

Astronomy

Scientific paper

We develop improved asymptotic approximations for the eigenfrequencies of low-frequency, linear, isentropic g-modes of stars. Our analysis can be applied to stars with either a convective core or a convective envelope. The approximations are derived by means of multiple-scale expansion procedures and boundary-layer techniques suitable for singular perturbation problems. Improvement over previous asymptotic approximations is achieved by a better modeling of the transition point where the g-mode behavior changes from oscillatory to evanescent. We apply our results to composite polytropic models and demonstrate an improvement of several percent over past work.

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