The Yukawa correction to the Newtonian gravitational force is accepted as a parameterization of deviations from the inverse-square law of gravity which might be caused by new physics beyond the standard model of particles and the general theory of relativity . We investigate these effects on the clock onboard a drag-free satellite : dynamics of the satellite and influence on the time transfer link . We find the Yukawa signal in the time transfer is much harder to detect with current state of clocks than those effects on the dynamics , especially the secular change of periastron , by laser ranging in the case of an artificial Earth satellite carrying a frequency standard with an orbit of a = 10 ^ { 7 } m and e = 0.01 .