There are many good treatments of the classical central force problem in many undergraduate and graduate text books. But I was unable to find a similar treatment of the retarded central force problem. I am looking for the classical treatment of the potentials of type:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \delta(t'-t + |\mathbf{x}-\mathbf{x}'|/c) V({|\mathbf{x}-\mathbf{x}'|}) [/tex]

I will be also happy with the treatment of a special case with:

[tex]V({|\mathbf{x}-\mathbf{x}'|}) = \frac{1}{|\mathbf{x}-\mathbf{x}'|} [/tex]

Can anybody recommend a good book or a published article?

Thank you.

PS: Please do not refer me to the Lienard-Wiechert potentials in classical electromagnetism. They only treat the case when one of the particle's position (path) is given (and unaltered by the other particle.) I am looking for the dynamic interaction of a two-body-system.

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# Retarded Central Force Problem in Classical Physics

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