Two-time method applied to a one-zone atmosphere

Details Two-time method applied to a one-zone atmosphere Two-time method applied to a one-zone atmosphere

Jun 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977apj...214..510b&link_type=abstract

Astrophysical Journal, Part 1, vol. 214, June 1, 1977, p. 510-521. Research supported by the University of Florida and Luxembou

Astronomy and Astrophysics

Astrophysics

14

Asymptotic Methods, Atmospheric Models, Stellar Atmospheres, Stellar Evolution, Stellar Models, Differential Equations, Equations Of State, Partial Differential Equations, Secular Variations, Thermal Stability

Scientific paper

The two-time asymptotic formalism is adapted to an autonomous evolving oscillatory system. The method is designed to study the evolution of the system when the smallness of the ratio of period to evolutionary time makes a straightforward integration impractical. As an application of astrophysical interest, the attainment of the limit cycle is analyzed for a vibrationally unstable one-zone atmosphere. It is shown on the basis of two model evolutions that the average values of the physical variables in the limit cycle can be quite different from the values obtained with artificial suppression of the oscillations (quasi-steady evolution).

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