Galileo satellite constellation and extensions to General Relativity

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We consider the impact of some known extensions of General Relativity in observables that will be available with the Galileo positioning systems, and draw conclusions as to the possibility of measuring them. We specifically address the effects of the presence of a cosmological constant, a Yukawa-like addition to the Newtonian potential, and the existence of an extra, constant acceleration. We also consider the phenomenological impact of a broad class of metric theories, which can be classified through the parameterized Post-Newtonian formalism.
Based on talk presented by one of us (J.P.) at the 1st. Colloquium "Scientific and Fundamental Aspects of the Galileo Programme", Toulouse, France, 1-4 October 2007. To be published in the Proceedings of the Colloquium

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