volume 74, issue 3, P301-322 2014
DOI: 10.1016/s0034-4877(15)60003-9
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Abstract: In Minkowski spacetime, we consider an isolated system made of two pointlike bodies interacting at a distance in the nonradiative approximation. Our framework is the covariant and a priori Hamiltonian formalism of "predictive relativistic mechanics", founded on the equal-time condition. The issue of an equivalent one-body description is discussed. We distinguish two different concepts: on the one hand an almost purely kinematic relative particle, on the other hand an effective particle which involves an expli…

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