On the work integral in stellar pulsation theory

Details On the work integral in stellar pulsation theory On the work integral in stellar pulsation theory

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...261..301b&link_type=abstract

Astrophysical Journal, Part 1, vol. 261, Oct. 1, 1982, p. 301-309. Research supported by the U.S.-Israeli Binational Science Fo

Astronomy and Astrophysics

Astrophysics

5

Pulsars, Stellar Models, Stellar Oscillations, Variable Stars, Equilibrium Equations, Hydrostatics, Kinetic Energy, Pulsed Radiation, Work

Scientific paper

The two-time formalism which serves to define rigorous time averages for a pulsating star undergoing slow thermal evolution is used to derive the expression for the work integral. In order to facilitate the comparison with the usual derivation of the work integral, the formalism is rephrased in a continuum description, rather than in discretized form. A concise derivation is then given of the work integral in its general nonlinear form. The special case of small-amplitude oscillations is addressed, and its application to limit cycles is examined. It is shown that a correct evaluation of the partial work integral, computed for the pressure force alone, gives rise to terms additional to the ones for the total work integral.

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