Vibrational stability of stars in thermal imbalance - A solution in terms of asymptotic expansions. I - 'Isentropic' oscillations

Details Vibrational stability of stars in thermal imbalance - A solution in terms of asymptotic expansions. I - 'Isentropic' oscillations Vibrational stability of stars in thermal imbalance - A solution in terms of asymptotic expansions. I - 'Isentropic' oscillations

Dec 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ap%26ss..31..305d&link_type=abstract

Astrophysics and Space Science, vol. 31, Dec. 1974, p. 305-331.

Astronomy and Astrophysics

Astrophysics

12

Asymptotic Series, Dynamic Stability, Isentropic Processes, Oscillations, Stellar Structure, Thermal Instability, Astronomical Models, Equations Of Motion, Kelvin-Helmholtz Instability, Mass Ratios, Perturbation Theory

Scientific paper

'Isentropic' oscillations of a star in thermal imbalance are defined as those for which, at every instant, the entropy of each mass element of the configuration in the perturbed motion is equal to that of the same mass element in the unperturbed motion. The solution of the equations describing such 'isentropic' oscillations and written in terms of the infinitesimal displacement delta-r(r-zero, t) is presented in terms of asymptotic expansions up to the first order in the parameter ratio of the adiabatic pulsation period for the fundamental mode to a 'slow' time scale of the order of the Kelvin-Helmholtz time. The solution obtained allows one to define, unambiguously, an 'isentropic' part to the coefficient of vibrational stability of arbitrary stellar models in thermal imbalance. Application of this general solution to the simple case of homologous motion is also given.

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