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Our spacetime is filled with gravitational wave backgrounds that constitute afluctuating environment created by astrophysical and cosmological sources.Bounds on these backgrounds are obtained from cosmological and astrophysicaldata but also by analysis of ranging and Doppler signals from distantspacecraft. We propose here a new way to set bounds on those backgrounds byperforming clock comparisons between a ground clock and a remote spacecraftequipped with an ultra-stable clock, rather than only ranging to an onboardtransponder. This technique can then be optimized as a function of the signalto be measured and the dominant noise sources, leading to significantimprovements on present bounds in a promising frequency range where differenttheoretical models are competing. We illustrate our approach using the SAGASproject which aims to fly an ultra stable optical clock in the outer solarsystem.

Bounds on gravitational wave backgrounds from large distance clock comparisons