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Astronomers observe two separate solar s...

Astronomers observe two separate solar systems each consisting of a planet orbiting a sun. The two orbits are circular and have the same radius `R`. It is determined that the planets have angular momenta of the same magnitude `L` about their suns, and that the orbital periods are in the ratio of three to one, i.e. `T_(1)=3T_(2)`. The ratio `m_(1)//m_(2)` of the masses of the two planets is

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