Chapter 10.3, Problem 79AYU

In Problems 79-83, use the fact that the orbit of a planet about the Sun is an ellipse, with the Sun at one focus. The aphelion of a planet is its greatest distance from the Sun, and the perihelion is its shortest distance. The mean distance of a planet from the Sun is the length of the semimajor axis of the elliptical orbit. See the illustration.

Earth The mean distance of Earth from the Sun is 93 million miles. If the aphelion of Earth is $94.5$ million miles, what is the perihelion? Write an equation for the orbit of Earth around the Sun.