Monge is a lunar

Moon

The Moon is Earth's only known natural satellite,There are a number of near-Earth asteroids including 3753 Cruithne that are co-orbital with Earth: their orbits bring them close to Earth for periods of time but then alter in the long term . These are quasi-satellites and not true moons. For more...

 crater

Impact crater

In the broadest sense, the term impact crater can be applied to any depression, natural or manmade, resulting from the high velocity impact of a projectile with a larger body...

 that lies along the southwestern edge of the Mare Fecunditatis

Mare Fecunditatis

Mare Fecunditatis is a lunar mare which is 840 km in diameter. The Fecuditatis basin formed in the Pre-Nectarian epoch, while the basin material surrounding the mare is of the...

. The outer rim is somewhat irregular in shape, with an outward bulge to the east and smaller bulges to the north and northwest. The interior floor is somewhat irregular in the eastern half, and there are accumulations along the bases of the sloping interior walls. The nearest named crater is Cook

Cook (crater)

Cook is a lunar crater that lies in the western part of the Mare Fecunditatis, just to the southeast of the prominent crater Colombo. To the southwest is Monge....

 to the northeast, while the larger Santbech

Santbech (crater)

Santbech is a lunar impact crater that is located to the southeast of Mare Nectaris. It lies south-southwest of the prominent crater Colombo. About one crater diameter to the east-northeast is the smaller Monge. The terrain around the crater, although rugged in places, has been flooded by lava and...

is located to the west-southwest.