The Collaborative International Dictionary of English v.0.48:

Perigee \Per"i*gee\, Perigeum \Per`i*ge"um\, n. [NL. perigeum,
   fr. Gr. peri` about, near + gh^ the earth: cf. F.
   p['e]rig['e]e.] (Astron.)
   That point, in the orbit of the moon or other body orbiting
   the earth, which is nearest to the earth; -- opposed to
   apogee. It is sometimes, but rarely, used of the nearest
   points of bodies not orbiting the earth, such as of a comet,
   a planet, etc. Called also epigee, epigeum.
   [1913 Webster +PJC]

WordNet (r) 3.0 (2006):

perigee
    n 1: periapsis in Earth orbit; the point in its orbit where a
         satellite is nearest to the Earth [ant: apogee]