Comets orbit around the star in elliptical orbits with the sun at one focus. The point in the orbit at which the comet is closest to the sun is called perihelion, and the point at which it is farthest is called aphelion. These points are the vertices of the comet’s orbit. The distance of Halley’s comet from the sun (focus) during the perihelion is 0.59 astronomical unit (AU) and 35.08 AU during aphelion. Find an equation for the Halley’s comet’s orbit in AU. Use the origin as the center of the orbit. (1 AU = 150 million kilometer)