The presence of an unseen planet orbiting a distant star

Chapter , Problem 58

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The presence of an unseen planet orbiting a distant star can sometimes be inferred from the motion of the star as we see it. As the star and planet orbit the center of mass of the starplanet system, the star moves toward and away from us with what is called the line of sight velocity, a motion that can be detected. Figure 13-49 shows a graph of the line of sight velocity versus time for the star 14 Herculis. The stars mass is believed to be 0.90 of the mass of our Sun.Assume that only one planet orbits the star and that our view is along the plane of the orbit.Then approximate (a) the planets mass in terms of Jupiters mass mJ and (b) the planets orbital radius in terms of Earths orbital radius rE.

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