The term "earth ellipsoid" refers to the shape of the Earth, which is not a perfect sphere but rather an ellipsoid. Some synonyms for the term include "geoid," which is a more technical term that refers to the shape of the Earth's gravitational field, and "Earth oblate spheroid," which emphasizes the flattened shape of the Earth. Other synonyms could include "global ellipsoid," "terrestrial ellipsoid," or simply "elliptical Earth." It's important to note that while these terms all refer to the shape of the Earth, they may be used in different contexts, such as geodesy, geography, or geophysics.