Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...276..724c&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 276, Jan. 15, 1984, p. 724-736. Research supported by the Natural Sciences
Astronomy and Astrophysics
Astrophysics
13
Polytropic Processes, Stable Oscillations, Stellar Oscillations, Stellar Rotation, Variational Principles, Analytic Functions, Eigenvalues, Linear Equations, Stellar Models
Scientific paper
A variational principle is applied to the calculation of the low-order axisymmetric normal modes of rotating equilibrium polytropes with indices of 1.0 and 3.0. The stability analysis accounts for the full effects of rapid rigid rotation. Trial functions with up to 42 coefficients yield eigenfrequencies and eigenfunctions which confirm results obtained with an independent numerical method. The emphasis here is on the stable f- and p-modes and the effects of rotation on the spatial distribution of their eigenfunctions. In general, rotation is found to increase the relative equatorial amplitude except for modes which are purely radial in the absence of rotation. In the latter case, the equatorial amplitude at first decreases with increasing rotation but for normal stellar mass concentrations it eventually increases with a phase shift relative to the polar motion. Also, rotation tends to increase the number of eigenfunction nodes along the equatorial plane while at the same time decreasing the number along the rotation axis.
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