If the mass of two bodies are m1 and m2 respective with position vectors as r1 and r2. Then what is the position vector of center of mass?

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Two-Body Orbital Mechanics topics include: Two body problems, motion and conservation equations, celestial sphere concept, orbital elements, orbits, elliptical orbits, circular orbits, and hyperbolic orbits. Two-body orbital mechanics can be used to predict the motion and determine orbits of planets, moons, and satellites.  The two-body problem in classical mechanics is the prediction of the motion of two massive objects that are treated as point particles. In this problem, the two objects interact only with each other, and the only force affecting each object comes from the other.  The... Show more

If the mass of two bodies are m<sub>1</sub> and m<sub>2</sub> respective with position vectors as r<sub>1</sub> and r<sub>2</sub>. Then what is the position vector of center of mass?