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Retardation effects can be taken into account by replacing α x′ and α y′ terms by integral terms of the form ∫0t d t′ α (t- t′) x′ (t′) and ∫0t d t′ α (t- t′) y′ (t′), respectively, converting Eq. 5 into intergro-differential ones. This complication is, however, unnecessary to understand the underlying physics.
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