A perigee was the point in any orbit nearest to the body being orbited.

In 2267, Captain James T Kirk ordered Hikaru Sulu to Increase the USS Enterprise's orbit of Gamma Hydra IV to a 20,000 mile perigee, and under the influence of a virus that caused rapid aging gave the same order a few minutes later. (TOS: "The Deadly Years")

In 2366, the crew of the USS Enterprise-D attempted to correct the decaying orbit of Bre'el IV's moon when it reached its perigee. (TNG: "Deja Q")