Relativity and radiation balance for the classical hydrogen atom in classical electromagnetic zero-point radiation

Here we review the understanding of classical hydrogen atom in electromagnetic zero-point radiation, and emphasize importance special relativity. The crucial missing ingredient earlier calculational attempts (both numerical analytic) is use valid approximations to full relativistic analysis. It pointed out that nonrelativistic time Fourier expansion coefficients given by Landau Lifshitz are error as description a charged particle Coulomb potential, and, because this error, Marshall Claverie's conclusion regarding failure radiation balance invalid. Rather, using calculations, but restricted lowest nonvanishing order orbital eccentricity (where orbit approximation fully orbit) for shown hold at fundamental frequencies associated first overtones.