Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994pasj...46..301t&link_type=abstract
PASJ: Publications of the Astronomical Society of Japan, vol. 46, no. 3, p. 301-314
Astronomy and Astrophysics
Astronomy
17
Eigenvectors, Magnetic Fields, Magnetic Stars, Peculiar Stars, Perturbation, Stellar Oscillations, Stellar Rotation
Scientific paper
We derive the selection rules for the perturbations to the eigenfunctions of stellar oscillations caused by stellar rigid rotation and axisymmetric poloidal magnetic fields. We introduce vector spherical harmonics in order to deal with the perturbation equation of motion, and show that they are useful to express the eigenfunctions of nonradial oscillations of stars. It is shown that if the magnetic fields are expressed by the multipole expansion series up to the order k, the eigenfunction of the mode with a spherical degree l and an azimuthal order m in the nonrotating, nonmagnetic case has components of the spherical degree max(l-2k,0),...,l + 2k and the azimuthal order -l,...,l. We discuss the oscillation features of rapidly oscillating Ap stars, and interpret them as being a manifestation of a magnetic perturbation of the nonradial modes.
Shibahashi Hiromoto
Takata Masao
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