Question: When a planet orbits around a star, the star also moves in an orbit. Since it is much more massive than the planet, the stars

When a planet orbits around a star, the star also moves in an “orbit.” Since it is much more massive than the planet, the star’s orbital radius r_star is much smaller than that of the planet r_planet. Work out how the ratio r_star /r_planet depends on the ratio of the masses. Discuss how this effect could be used to detect the presence of planets in distant solar systems. For simplicity, assume circular orbits.

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