The Precession and Nutation of Deformable Bodies III. Oscillations of Incompressible Viscous Globes

摘要

The purpose of the report is to specify the form of the characteristic functions, and the nature of the spectrum of characteristic frequencies, of free nonradial oscillations of selfgravitating incompressible fluid globes of constant density and viscosity, in terms of which their forced oscillations (such as lunar librations invoked by the gravitational attraction of the Earth and the Sun) are later to be expanded. Kelvin's problem is generalized to configurations of arbitrary viscosity, and solved analytically in a closed form in terms of complex functions. (Author)