A point charge oscillates with the trajectory r0(t ) = a cos( 0 t)z. Find the angular

A point charge oscillates with the trajectory r0(t ) = a cos(ω₀ t)ẑ. Find the angular distribution of power radiated into the m^th harmonic, dP_m/dΩ, during one period of the motion. Which harmonics dominate in the non-relativistic limit? Two Bessel function identities will be useful:

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Jm(x)= im 2π 2.T [ dø expli(mp - x cos 4)] and Jm+1(x) + Jm-1(x) = (2m/x) Jm (x).