Richard Feynman
Richard Feynman (1918 - 1988), American physicists and Nobel prize holder, published two contributions on the derivation of Kepler's laws of planetary motions applying Newton's laws of motion and gravity (this method was used also by Newton himself to prove the correctnes of his assumptions):
Feynman's Lectures on Physics (three volume book, 1963) - the numerical approach
The Motion of Planets around the Sun (guest lecture, 1964) - geometric approach