# How does Kepler's laws and Newtons universal gravitation for two bodies come together?

Does Newton's laws of gravitation and Kepler's laws give exactly the same orbit for two bodies?

Could someone please explain the derivation if so?

• I think that the OP is asking if the two sets of laws are equivalent in the sense that Kepler's laws imply $F=ma$ for that particular problem. Dec 26 '13 at 21:07