Amplitude equations for nonadiabatic nonradial pulsators

Details Amplitude equations for nonadiabatic nonradial pulsators Amplitude equations for nonadiabatic nonradial pulsators

Nov 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...291..481g&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 291, no. 2, p. 481-499

Astronomy and Astrophysics

Astrophysics

11

Formalism, Light Curve, Magnetic Stars, Nonadiabatic Theory, Nonlinear Systems, Pulse Amplitude, Stellar Oscillations, Stellar Rotation, White Dwarf Stars, Fourier Analysis, Mathematical Models, Stellar Magnetic Fields

Scientific paper

The amplitude equation formalism is extended to nonradial stellar pulsators. The resultant amplitude equations describe mode excitation and coupling, and they govern the nonlinear behavior of the amplitudes of the dominant modes. The amplitudes can be directly related to the intensities of the Fourier spectrum of the observed light-curves. Nonadiabatic effects are fully incorporated in our formalism. The formalism applies, in principle, to any amount of stellar rotation and magnetic fields. In this paper explicit expressions are given for the nonlinear coupling coefficients up to third order for nonrotating, nonmagnetic stars. The inclusion of slow rotation is investigated in a companion paper.

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