A model-independent test of spatial variations of the Newtonian gravitational constant in some extrasolar planetary systems
Lorenzo Iorio
Abstract
In this paper we directly constrain possible spatial variations of the Newtonian gravitational constant G over ranges 0.01-5 AU in various extrasolar multi-planet systems. By means of the third Kepler's law we determine the quantity Γ XY=GX/GY for each couple of planets X and Y located at different distances from their parent star: deviations of the measured values of Γfrom unity would signal variations of G. The obtained results for η=1-Γare found to be well compatible with zero within the experimental errors (η/δη= 0.2-0.3). A comparison with an analogous test previously performed in our Solar System is made.
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