One-Dimensional Central-Force Problem for Sommerfeld Sphere in Classical Electrodynamics: Some Numerical Results

Alexander A. Vlasov

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One-Dimensional Central-Force Problem for Sommerfeld Sphere in Classical Electrodynamics: Some Numerical Results

Alexander A. Vlasov

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Abstract

Equation of motion of Sommerfeld sphere in the field of Coulomb center is numerically investigated. It is shown that contrary to Lorentz-Dirac equation in the attractive case there are physical solutions. In the repulsive case sphere gains less energy then that should be according to relativistic equation of motion of point charge without radiation force.

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Alexander A. Vlasov. 1999-02-26. One-Dimensional Central-Force Problem for Sommerfeld Sphere in Classical Electrodynamics: Some Numerical Results. https://arxiv.org/abs/physics/9901051

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