What mathematical paths result when Newton's inverse-square law is applied to the mathematics of motion?

Answer

Ellipses, circles, or other conic sections

Newton demonstrated that applying his inverse-square law to the mathematics of motion precisely results in the conic sections, such as ellipses, that Kepler had observed empirically.

What mathematical paths result when Newton's inverse-square law is applied to the mathematics of motion?

#Videos

How Does Gravity Affect Earth's Orbit? - Legacy Lesson - YouTube

forceorbitgravityplanetcelestial body