Abstract
In the present work we propose to modify the Newtonian gravitational law by incorporating a velocity dependence term which can be augmented with the Hubble’s law. We have applied the modified formula to local galactic systems to account for the recessional velocity of the galaxies and hence expanding phase of the universe. The model seems physically viable on the theoretical ground, however its future feasibility in connection to several other astrophysical observations is to be sought for.