The effect of mixing on a zonally stationary modon (Stern's modon) and
rider is analysed using the method of multiple scales. Cases in which
only the rider contributes to the mixing, or only the modon mixes, or
a combination of both, are considered separately. In each case the mi
xing is shown to establish a dipole field aligned in such a manner to
drive meridional motion in a direction dependent on the type of mixing
. Moreover, the radius and amplitude of the modon and rider field are
shown to decrease in response to mixing. The rule by which they decrea
se is dependent on the type of mixing. For the particular case when bo
th the modon and rider fields contribute equally to the mixing, it is
shown that cyclones propagate north and anticyclones propagate south.