Simon 1971

Simon, N.R., 1971: Second-order pulsations in polytropes. Astrophys. J., 164, 331-340.

A theory due to Eddington is employed to calculate second-order corrections to the usual linear, quasi-adiabatic pulsational amplitudes. Such corrections are necessary in order to evaluate the pulsational stability of stars in thermal imbalance (dS₀/d& <> 0). The second-order quantities are calculated, and their properties discussed, for a wide variety of polytropic models. Subsequently, a number of these models are tested for pulsational stability, and the conclusions drawn in an earlier, more preliminary work are re-evaluated on the basis of the results. In particular, it is found that stars in pre-main-sequence contraction are probably stable against pulsations energized via thermal imbalance.

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Simon, N.R.: Second-order pulsations in polytropes, Astrophys. J., 164, 331-340, 1971.

Simon, N.R. (1971), Second-order pulsations in polytropes, Astrophys. J., 164, 331-340.

Simon, N.R., 1971: Second-order pulsations in polytropes. Astrophys. J., 164, 331-340.

Simon, N.R. 1971, Astrophys. J., 164, 331.

Simon NR. Second-order pulsations in polytropes, Astrophys J 1971;164:331-340.

N.R. Simon, Astrophys. J. 164, 331-340 (1971).