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arXiv · 1309.4313

Relative motion in spacetime

Philippe Droz-Vincent
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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 explicit dynamical formulation; several versions of the latter are possible. Relative and effective particles have the same orbit, but may differ by their schedules.

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Philippe Droz-Vincent. 2013-09-17. Relative motion in spacetime. https://doi.org/10.1016/s0034-4877(15)60003-9

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