Normal modes of oscillation for rotating stars. III - Variational calculations with an improved set of basis vectors

Details Normal modes of oscillation for rotating stars. III - Variational calculations with an improved set of basis vectors Normal modes of oscillation for rotating stars. III - Variational calculations with an improved set of basis vectors

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...301..185c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 301, Feb. 1, 1986, p. 185-203. Research supported by the University of Toro

Statistics

Computation

17

Computational Astrophysics, Stellar Oscillations, Stellar Rotation, Variational Principles, Vectors (Mathematics), Eigenvalues, Fast Fourier Transformations, Gravity Waves, Poisson Equation, Polytropic Processes

Scientific paper

Two types of basis vectors are incorporated into a variational principle with the aim of computing gravity modes which are as accurate as the pressure modes of corresponding order. The purpose is to explore some ideas for new basis vectors and generalize them to situations with rapid rotation. Five possible sets of basis vectors have been numerically tested by comparing the variational eigenfrequencies with exact values available in the literature for spherically symmetric polytropes. The best one of the five was applied to sequences of rigidly rotating polytropes of index 2 and 3 to find the eigenvalues and the eigenfunctions for 48 low-order axisymmetric modes. It is shown that the g-mode eignvalues can be computed as accurately as those of the p-modes, although the convergence properties are still not quite as good as those of the f- and p-modes and the low-order eigenfunctions are still not as accurate. A procedure is identified for the theoretical investigation of the problem of the nonaxisymmetric normal modes.

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