Eastern star is a term that refers to a specific organization, so it might not have many exact synonyms. However, there are some related terms that have similar meanings. For example, "star of the east" is a common phrase used to describe the North Star, which is often used by navigators to find their way home. Another synonym might be "morning star," which is a reference to the planet Venus, which is often visible in the eastern sky just before sunrise. Other phrases that could be used to describe the concept of a bright, guiding light in the east might include "beacon of hope," "guiding light," or "eastern sunrise".