On the adiabatic pulsations of uniformly rotating bodies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Adiabatic Conditions, Astrophysics, Cloud Physics, Compressibility Effects, Rotating Bodies, Angular Velocity, Resonant Frequencies, Virial Theorem

Scientific paper

The problem of the oscillations and stability of compressible Maclaurin spheroids is reconsidered on the basis of the third-order virial equations in an arbitrarily rotating frame of reference. In contrast with the work of Kochhar and Trehan (1974), it is found that the frequencies evaluated in a rotating frame and those evaluated in an inertial frame are related to one another in a very simple way. Numerical calculations made for a wide range of the adiabatic exponent further clarify the effect of compressibility on the natural frequencies

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