A model-independent test of spatial variations of the Newtonian gravitational constant in some extrasolar planetary systems
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 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 from unity would signal variations of G. The obtained results for η=1- are 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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