An almost spherical surface defined by R() = R0[1 + P2(cos )] has inside of it a uniform volume distribution of charge totaling Q. The

An almost spherical surface defined by

R(θ) = R0[1 + βP2(cos θ)]

has inside of it a uniform volume distribution of charge totaling Q. The small parameter β varies harmonically in time at frequency ω. This corresponds to surface waves on a sphere. Keeping only lowest order terms in β and making the long-wavelength approximation, calculate the nonvanishing multipole moments, the angular distribution of radiation, and the total power radiated.