We solve the equations of predictive relativistic mechanics for the electromagnetic interaction of two structureless point charges, up to the first order in the mass ratio $\lambda \equiv \frac{m_1}{m_2}$, using as subsidiary conditions the Liénard-Wiechert formulas for both the advanced and retarded potentials. The perturbation technique used in this paper is, of course, only useful when $\lambda$ is a small number, but in this case it is more powerful than the technique used in a preceding paper by Bel, Salas, and Sánchez where the parameter used in the developments was the coupling constant.

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