On the day of the perigee Moon the 3-day old waxing crescent Moon will be over the western horizon setting about 3 hours after the Sun sets. Rising over the eastern horizon are two of the giant outer planets, Jupiter and Saturn.
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)