Question

Assume that star A and star B have the same mass and each moves in a...

Assume that star A and star B have the same mass and each moves in a small circular path in response to an orbiting planet. Star B's path takes only half the time to go all the way around. What is the orbital radius of Star B's planet? Express it as a ratio to the orbital radius of Star A's planet.

Hint: Kepler's 3rd law relates a planet's orbital period to its orbital radius. Notice that the two stars have the same mass.

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