Named after John Jackson - Scottish astronomer (1887-1958).
Jackson is a prominent lunar impact crater that is located in the northern hemisphere on the far side. Less than one crater to the northeast is the crater Mineur, and to the south-southwest lies McMath. This crater lies at the center of a large ray system. A skirt of higher-albedo material covers the surface within one crater diameter, with a slightly darker band along the outer ramparts. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.