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A Criterion for Nuclear-EnergizedPulsational Instability

1979
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This Note will present briefly some general properties of nuclear-energized pulsations of stars as treated in the linear quasi-adiabatic theory. In particular, the results will be derived from a number of detailed calculations of stellar models.It is well known that an upper limit for the fundamental eigenfrequency of radial pulsation Ѡ0 is given byѠmax2 = 1ʃ0(3Γ1 ‒ 4)q/x dq / 1ʃ0 x2dq,Ѡ2= (2∏/Period)2 R3/GM(e.g., Ledoux and Walraven 1958). According to this expression, Ѡmax2 increases both with decreasing radiation pressure (i.e., increasing Γ1) and with increasing central condensation as measured by the ratio of integrals

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