  I discuss a novel MOND effect that entails a correction to the dynamics of
isolated mass systems even when they are deep in the Newtonian regime: systems
whose extent R<<Rm, where Rm=sqrt(GM/a0) is the MOND radius, and M the total
mass. Interestingly, even if the MOND equations approach Newtonian dynamics
arbitrarily fast at high accelerations, this correction decreases only as a
power of R/Rm. The effect appears in formulations of MOND as modified gravity,
governed by generalizations of the Poisson equation. The MOND correction to the
potential is a quadrupole field G*Pij*Ri*Rj, where R is the radius from the
center of mass. In QUMOND (quasilinear MOND), Pij=-qQij/Rm^5, where Qij is the
quadrupole moment of the system, and q>0 is a numerical factor that depends on
the interpolating function. For example, the correction to the Newtonian force
between two masses, m and M, a distance L apart (L<<Rm), is
Fa=2q(L/Rm)^3(mM)^2(M+m)^{-3}a0 (attractive). For generic MOND theories, which
approach Newtonian dynamics quickly for accelerations beyond a0, the predicted
strength of the effect in the Solar system is rather much below present testing
capabilities. In MOND theories that become Newtonian only beyond k*a0, the
effect is enhanced by k^2.
