Our Moon reaches apogee, (greatest distance from Earth), on Thursday June 8th. At that time the Moon will more or less be at a distance of 31.85 Earth diameters (406,401 km or 252,526 miles) from the Earth.
Does our Moon actually go around the Earth as this graphic shows? From our perspective on the Earth the Moon appears to circle around the Earth. However, in reality, the Moon orbits the Sun together with the Earth*
Read this very informative article about the Earth-Moon system and their orbital motions, written by Joe Hanson. “Do We Orbit the Moon?”