Final answer:
The circumcenter is found by intersecting the perpendicular bisectors of a triangle's sides. Given information doesn't directly pertain to finding a triangle's circumcenter. More specific triangle data is needed for illustration.
Step-by-step explanation:
The term circumcenter refers to a specific point in a triangle which is equidistant from all the vertices of the triangle. It is the center of the circle that can circumscribe the triangle, known as the circumcircle.
To find the circumcenter of a triangle, one must construct the perpendicular bisectors of at least two sides of the triangle. The point at which these bisectors intersect is the circumcenter. In coordinate geometry, we would use the midpoint formula and the slope concept to find the equations of the perpendicular bisectors, and then solve those equations simultaneously to find the point of intersection.
In the context provided, there seems to be confusion as the information given does not directly relate to finding a circumcenter of a triangle. The details involving centripetal acceleration, velocity vector triangles, and proportions related to the Moon and the Sun are not relevant for answering a question about the circumcenter in a typical mathematical sense. Therefore, without additional information specific to the triangle's vertices or sides, we cannot solve for the circumcenter.