  This paper considers the existence and stability properties of
two-dimensional solitary waves traversing an infinitely deep body of water. We
assume that above the water is vacuum, and that the waves are acted upon by
gravity with surface tension effects on the air--water interface. In
particular, we study the case where there is a finite dipole in the bulk of the
fluid, that is, the vorticity is a sum of two weighted $\delta$-functions.
Using an implicit function theorem argument, we construct a family of solitary
waves solutions for this system that is exhaustive in a neighborhood of $0$.
Our main result is that this family is conditionally orbitally unstable. This
is proved using a modification of the Grillakis--Shatah--Strauss method
recently introduced by Varholm, Wahl\'en, and Walsh.
