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Classical Mechanics

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Uniform Circular Motion: Planet Accelerations

CLMECH-6@WIRY

Planet A orbits at 5 AU (astronomical units) from its star of mass $M$ in a circular orbit. Planet B in the same planetary system orbits at 7 AU from the star in a circular orbit. The mass of planet B is 3 times the mass of planet A.

What is the ratio of the centripetal accelerations of planets A and B?

$$\frac{a_A}{a_B}=?$$

Write your answer to 3 significant figures.