Our Moon reaches apogee, (greatest distance from Earth), on Wednesday August 2nd. At that time the Moon will more or less be at a distance of 31.75 Earth diameters (405,934 km or 252,857 miles) from the Earth.
On the day of the apogee Moon the 11-day old waxing gibbous phase, rises mid-afternoon and is about 3o from Saturn and around 14-15o degrees from the reddish star Antares in Scorpius the Scorpion. The Moon and Saturn will fit easily within the field of view binoculars.
Does our Moon actually go around the Earth as the above 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?”