The power radiated per unit solid angle by a charge undergoing simple harmonic motion is dP cos wt do = K sin2 0 (1 + B cos 0 sin wt) 5 Where the constant K = ezcB*/4maz and B = aw/c is the speed amplitude over c. Perform the time average over one period to show that dp K 4 + B2 cos2 0 8 sin2 0 (1 - B2 cos2 0) 7/2 Hint: It might be a good idea to find parametric integral of the form I (a) = J do a+ sing then do multiple differentiations on a, to obtain for example di(a) d'I(a) da (a+sing)2" and da2 2 So 2 n do (atsin ja, etc