Chapter 12.7, Problem 11ES

In exercises that require numerical values, use Table 12.7.1 and the following values, where needed:

$\begin{array}{l}\text{radius}\text{of}\text{Earth}=4000\text{mi}=6440\text{km}\\ \text{radius}\text{of}\text{Moon}=1080\text{mi}=1740\text{km}\\ \text{1year (Earth Year)}=365\text{days}\end{array}$

(a) the eccentricity of the Moon’s orbit around the Earth is 0.055, and its semimajor axis is $a=238,900\text{mi}\text{.}$ Find the maximum and minimum distance between the surface of the Earth and the surface of the Moon.

(b) Find the period of the Moon’s orbit in days.