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We present a new measurement of the Lense-Thirring effect on the orbits ofthe geodetic satellites LAGEOS, LAGEOS II and LARES. This secular precession isa general relativity effect produced by the gravitomagnetic field of the Earthgenerated by its rotation. The effect is a manifestation of spacetime curvaturegenerated by mass-currents, a peculiarity of Einstein's theory of gravitation.This measurement stands out, compared to previous measurements in the samecontext, for its precision ($\simeq7.4\times10^{-3}$) and accuracy($\simeq16\times10^{-3}$), i.e. for a reliable and robust evaluation of thesystematic sources of error due to both gravitational and non-gravitationalperturbations. For this new measurement, we have largely exploited the resultsof GRACE mission to significantly improve the description of the gravitationalfield of the Earth, by also modeling its time dependence. In this way, westrongly reduced the systematic errors due to the uncertainty in the knowledgeof the Earth even zonal harmonics and, at the same time, avoided a possiblebias of the final result and, consequently, of the precision of themeasurement, linked to a non-reliable handling of the unmodeled and mismodeledperiodic effects.

An improved measurement of the Lense-Thirring precession on the orbits of laser-ranged satellites with an accuracy approaching the 1% level