How Can Gravitational Tugs From Orbiting Planets Affect The Motion Of A Star?

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How Can Gravitational Tugs From Orbiting Planets Affect The Motion Of A Star?

The planet and the star both make orbits about a common center of mass. The star, being much larger than the planet, has a much smaller orbit. But it does move slightly. Gravitational tugs from orbiting planets don't affect the motion of a star. The star orbits the center of planet. The star, being much larger than the planet, has a much greater orbit. The planet and the star both make orbits about a common center of mass. The star, being much larger than the planet, has a much larger orbit.
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The planet and the star both make orbits about a common center of mass. The star, being much larger than the planet, has a much smaller orbit. But it does move slightly.

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