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center of mass vs. center of gravity

  1. the point at which the entire mass of a body may be considered concentrated for some purposes; formally, the point such that the first moment of a physical or geometric object about every line through the point is zero.
  1. the point through which the resultant of gravitational forces on a body passes and from which the resultant force of attraction of the body on other bodies emanates: coincident with the center of mass in a uniform gravitational field.
  2. a person, thing, or idea that is the vital or pivotal focus of interest or activity within a larger entity.

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