A novel MOND effect in isolated high-acceleration systems

Understand

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.