A perigee was the point in any orbit nearest to the body being orbited. The opposite of perigee was the apogee.
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 repeated 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")