Assume that each planet moves in an orbit given by the vectorvalued function r. Let r = || r||, let G represent the universal gravitational constant, let M represent the mass of the sun, and let m represent the mass of the planet. Prove Kepler’s First Law: Each planet moves in an elliptical orbit with the sun as a focus.

Assume that each planet moves in an orbit given by the vectorvalued function r. Let r = || r||, let G represent the universal gravitational constant, let M represent the mass of the sun, and let m represent the mass of the planet. Prove Kepler’s First Law: Each planet moves in an elliptical orbit with the sun as a focus.