  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 $e=0.01$.
