The point farthest from the attracting body is called the apoapsis.
There are also specific terms for orbits around particular bodies; things orbiting the Sun have a perihelion and aphelion, things orbiting the Earth have a perigee and apogee, and things orbiting the Moon have a perilune and apolune (or, synonymously, periselene and aposelene).
An orbit around any star, not just the Sun, has a periastron and an apastron