For astrology

How does Newton's three laws of motion and the Universal Law of Gravitation support Kepler's earlier Laws of Planetary motion?

This is precisely the form of the gravitational force, with the universal gravitational constant G as the constant of proportionality. Thus, Newton's laws of motion, with a gravitational force used in the 2nd Law, imply Kepler's Laws, and the planets obey the same laws of motion as objects on the surface of the Earth!