How did isaac newton turn copernican and galilean theories in to indisputable facts?

Isaac Newton, born in 1642, studied math and the nature of light and gravitation at Trinity College in Cambridge inspired by the discoveries made by  Johannes Kepler, Robert Boyle, Galileo Galilei and Nicolaus Copernicus. Helping even making the theories of these two last scientific into indisputable facts.

Regarding the theory of Galileo Galilei, which argues that planets revolve around the sun, not the earth. Newton’s position was that the universe worked like a machine and thus it was governed by simple laws. Claiming that mathematics was the best way to not only explain but also prove those laws.

Similarly, when the Copernican heliocentric theory was not accepted by the scientific community, Isaac Newton was The most famous supporter of this theory, helping to explain the force of gravity, that all bodies exert on each other.