Our Moon reaches apogee, (furthest from Earth), for this orbit, on Sunday August 9th. At that time the last quarter Moon will be at a distance of 31.72 Earth diameters, 251,469 miles (404,700 km) 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*
*Click here to read my 2006 Scope on the Sky column “The Real Shape of the Moon’s Orbit”. (PDF)