Waves due to a floating sphere making periodic heaving oscillations

The paper gives a discussion of the fluid motion due to a sphere, floating half-immersed in water, which is made to describe small heaving oscillations. The velocity potential is obtained as a series for which the unknown coefficients are given by an infinite set of equations. These are solved approximately so as to obtain curves showing the variation with frequency of the virtual inertia coefficient and of the equivalent damping parameter.