\(\bar { U_{ B } } =\cfrac { \mu _{ o }\omega ^{ 2 }e^{ 2 }a_e }{ 8\pi ^{ 3 }r^{ 3 }_{ e } } \cfrac { sin^{ 3 }(\theta _{ o }) }{ cos^{ 2 }(\theta _{ o }) } e^{ -\cfrac { 4r_{ e } }{ a_{ e }cos(\theta _{ 0 }) } }\)
The exponential term is very sensitive to the relative values of \(\cfrac{r_e}{a_e}\) and by reciprocity, \(\cfrac{r_p}{a_p}\). A illustrative plot of \(U_B\) using varies ratio of \(\cfrac{r_e}{a_e}\) is given below, The actual graph plotted is (sin(x))^3*e^{-4*a/cos(x)}*1/(cos(x))^2 where 1<a<2, in steps of 0.05.
It seems that the charge's orbit is only slightly larger than its size in order to give the radiation profile obtained experimentally.
