Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ap%26ss..76..187k&link_type=abstract
Astrophysics and Space Science, vol. 76, no. 1, May 1981, p. 187-212.
Astronomy and Astrophysics
Astrophysics
11
Stellar Oscillations, Stellar Rotation, Stellar Structure, Systems Stability, Angular Velocity, Boundary Conditions, Boundary Value Problems, Coriolis Effect, Differential Equations, Harmonic Oscillation, Spheres
Scientific paper
The explicit form of the equations governing first-order oscillations of fast-rotating globes of self-gravitating fluids is detailed. The effects arising from the centrifugal as well as Coriolis force are taken into account. The equilibrium properties of fast-rotating configurations or arbitrary structure are formulated. The variables in the equations of motion are separated, and the partial differential equations of the problem are reduced to an equivalent system of ordinary differential equations by an expansion of expressions for velocity components in terms of tesseral harmonics. The complex form of the equations is converted into real terms, amenable to a solution (analytical or numerical) in terms of real variables. The boundary conditions necessary for a specification of the characteristic frequencies of oscillation are established.
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