The orbit of Halley’s Comet last seen in 1986 and due to return in 2062 is an ellipse with eccentricity 0.97 and one focus at the Sun. The length of its major axis is 36.18 AU. [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find a polar equation for the orbit of Halley’s Comet. What is the maximum distance from the comet to the Sun?