The discussion centers on the challenge of accurately determining Earth's center of mass, particularly considering its non-uniform mass distribution. A simple ellipsoid approximation is deemed insufficient, and the need for a more precise definition is emphasized. Participants suggest that using the term "geocenter" may yield better search results, although it is complicated by misinformation from various sources. The conversation also touches on the importance of a suitable coordinate system to define the center's location relative to Earth's surface. Overall, the quest for a clear understanding of Earth's center of mass remains a complex topic.