Linear radial pulsations in stars in thermal imbalance

Details Linear radial pulsations in stars in thermal imbalance Linear radial pulsations in stars in thermal imbalance

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...141..297s&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 141, no. 2, Dec. 1984, p. 297-303.

Astronomy and Astrophysics

Astrophysics

4

Astrophysics, Stellar Evolution, Stellar Oscillations, Adiabatic Conditions, Differential Equations, Displacement, Eigenvalues, Integral Equations, Pulse Rate

Scientific paper

In the present application of the two-time-variable expansion method to the linear radial pulsations of a spherically symmetric star that evolves on the Helmholtz-Kelvin time scale, attention is given to the derivation of an integral expression for the rate of change of the eigenfrequency and of an equation for the rate of change of the radial displacement of an individual mass element. The integral expression demonstrates that the change of the eigenfrequency is due to the star's evolution, and the definition of the work integral given by Buchler and Regev (1982) is normalized so that the work integral reduces to the usual coefficient of vibrational stability for a quasi-static star in thermal equilibrium.

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