Our Moon reaches perigee, (closest distance from Earth), for this orbit on Monday October 9th. At that time the Moon will be at a distance of 28.76 Earth diameters (366,855 km or 227,953 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 20-day old waning gibbous Moon is above the east to southeastern horizon around midnight local time.