Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...301..105s&link_type=abstract
Astronomy and Astrophysics, v.301, p.105
Astronomy and Astrophysics
Astrophysics
10
Stars: Variable, Stars: Oscillations, Methods: Analytical
Scientific paper
An asymptotic representation of low-frequency, linear, isentropic g-modes of a star has been developed without the usual neglect of the Eulerian perturbation of the gravitational potential. As governing equations, a fourth-order system of differential equations in the divergence and the radial component of the Lagrangian displacement is adopted. The asymptotic representation is based on the use of asymptotic expansions adequate for solutions of singular perturbation problems. At the lowest-order asymptotic approximation, a star can be considered as a linear oscillator at distances sufficiently large from the centre and the surface, when the divergence of the Lagrangian displacement is used as the dependent variable. The asymptotic treatment yields lowest-order asymptotic approximations of the various physical quantities involved in an oscillation mode g of a star. The Cowling approximation adopted in previous investigations proves to be justified at the lowest-order asymptotic approximation.
de Boeck I.
Decock L.
Hoolst Tim Van
Smeyers Paul
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