There are a wide range of synonyms that can be used in place of the term "compass direction." For example, you might use the term "bearing" to describe the direction in which something is facing or moving, or the term "orientation" to describe a system of direction-finding based on the position of the stars. Other synonyms might include "heading," "course," "trajectory," or "path," all of which describe the route or direction that an object is moving along. Ultimately, the choice of which synonym to use will depend on the context in which it is being used, as well as the specific nuances and connotations of each individual word.