The centre of mass of an astronomical system. In an isolated two-body problem, both bodies follow orbits around their shared astronomical barycenter; the Kepler orbit of their relative displacement has a semi-major axis equal to the sum of their individual semi-major axes.
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In astronomy, the term "barycenter" refers to the center of mass of a system of two or more bodies that are in orbit around each other. In a binary star system, for example, both stars orbit around their common barycenter, which is located at a point that is determined by the relative masses of the stars and their separation distance. The barycenter is important for understanding the dynamics of celestial systems.