Classical radiation collapse of a Coulomb orbit
= Classical radiation collapse of a Coulomb orbit
An accelerating classical charge radiates according to the <Larmor formula>. For a slowly evolving nonrelativistic circular electron orbit, energy balance gives $d(r^3)/dt=-4cr_0^2$, with $r_0$ the <classical electron radius>. The finite formal collapse time exposes classical atomic instability; it is not a model of a stable quantum atom.