Question

Keplers law of planetary motion from netwons law of gravitation

Answer 1

Answer:

That's pretty obvious if planets orbited in circular paths, however, keplers 1st law states that all planets orbit the sun in elliptical paths. ... The inverse square law of gravitation comes as a consequence of combining Keplers Laws with Newtons Laws of motion. Newtons 3rd law shows the conservation of angular momentum.

Answer 2

Answer:

Newtonian Gravitation and the Laws of Kepler Thus, Kepler's laws and Newton's laws taken together imply that the force that holds the planets in their orbits by continuously changing the planet's velocity so that it follows an elliptical path is (1) directed toward the Sun from the planet, (2) is proportional to the product of masses for the Sun and planet, and ( ...