Reduction of the two-body dynamics to a one-body description in classical 
electrodynamics

Buonanno, Alessandra

doi:10.1103/PhysRevD.62.104022

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Reduction of the two-body dynamics to a one-body description in classical electrodynamics

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Buonanno, Alessandra
Theoretical Astrophysics and Relativity Group, California Institute of Technology, Pasadena;
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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hep-th_0004042.pdf
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PhysRevD.62_104022.pdf
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Citation

Buonanno, A. (2000). Reduction of the two-body dynamics to a one-body description in classical electrodynamics. Physical Review D, 62: 104022. doi:10.1103/PhysRevD.62.104022.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0019-8AAE-5

Abstract

We discuss the mapping of the conservative part of two-body electrodynamics onto that of a test charged particle moving in some external electromagnetic field, taking into account recoil effects and relativistic corrections up to second post-Coulombian order. Unlike the results recently obtained in general relativity, we find that in classical electrodynamics it is not possible to implement the matching without introducing external parameters in the effective electromagnetic field. Relaxing the assumption that the effective test particle moves in a flat spacetime provides a feasible way out.