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The impact of light scalars coupled conformally and disformally to matter onthe geodetic and frame-dragging (FD) precessions is calculated. For largerfrequencies the disformal interaction becomes increasingly relevant. We useseveral satellite experiments and Pulsar time of arrival (ToA) measurements toderive bounds on the couplings, combining the Gravity Probe B, LARES, LAGEOSand GRACE results with pulsar timings. Forecasts for future constraints on theconformal and the disformal couplings based on the GINGER experiment, i.e. afuture measurement of the Sagnac effect on Earth, the motion of S-stars aroundthe galactic centre and future pulsar timing observations are presented.

Multi-scale Constraints on Scalar-Field couplings to Matter: The Geodetic and Frame-Dragging Effects