A Novel Approach to Solve Linearized Stellar Pulsation Equations

Type Conference Paper
Names Christopher Bard, S. Teitler
Proceedings Title Bulletin of the American Astronomical Society
Conference Name American Astronomical Society, AAS Meeting #217, #342.14
Volume 43
Pages 34214
Date January 1, 2011
URL http://adsabs.harvard.edu/abs/2011AAS...21734214B
Library Catalog NASA ADS
Abstract We present a new approach to modeling linearized, non-radial pulsations in differentially rotating, massive stars. As a first step in this direction, we consider adiabatic pulsations and adopt the Cowling approximation that perturbations of the gravitational potential and its radial derivative are negligible. The angular dependence of the pulsation modes is expressed as a series expansion of associated Legendre polynomials; the resulting coupled system of differential equations is then solved by finding the eigenfrequencies at which the determinant of a characteristic matrix vanishes. Our method improves on previous treatments by removing the requirement that an arbitrary normalization be applied to the eigenfunctions; this brings the benefit of improved numerical robustness.
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