The equation governing the hydromagnetic oscillations of a liquid globe rotating in a uniform magnetic field is solved in cylindrical polar coordinates and the solution adapted to satisfy spherical boundary conditions. The period equation is obtained in the form of an infinite determinant. Numerical approximations in the case when the Coriolis force appreciably affects the motion indicate that convergence is likely and confirm the order of magnitude of the period as obtained by Cowling (1) for the case of a liquid and a gaseous globe.
展开▼
