Our Moon reaches perigee, (closest distance from Earth), for this orbit on Wednesday September 13th. At that time the Moon will be at a distance of 28.99 Earth diameters (369,860 km or 229,820 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*
On the day of the perigee Moon the 23-day old 3rd or last quarter Moon is above the east to southeastern horizon about an hour or so before the Sun rises. The inner planet Venus is very visible shining brightly above the horizon at -3.94 apparent magnitude, and Dwarf Planet Ceres at 7.92 apparent magnitude will not be visible but it is where the graphic indicates it to be.
Read this very informative article about the Earth-Moon system and their orbital motions, written by Joe Hanson. “Do We Orbit the Moon?”