= Liénard radiated-power formula
{c}
{title2=$P=\mu_0q^2\gamma^6(|a|^2-|v\times a|^2)/(6\pi)$, $c=1$}
= Lienard formula
{c}
{synonym}
The relativistic generalization of the <Larmor formula> uses the invariant proper-acceleration magnitude: $P=-\mu_0q^2 A^aA_a/(6\pi)$ in signature $(+---)$. In coordinate time this is the displayed expression. For perpendicular magnetic circular motion, $\gamma m|a|=|q|vB$, giving $P=\mu_0q^4(\gamma^2-1)B^2/(6\pi m^2)$. The statement concerns total instantaneous emitted power; directional radiation flux is not itself invariant.
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