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The small dense stars rotate about their...

The small dense stars rotate about their common centre of mass as a binary system, each with a period of `1` year. One star has mass double than that of the other, while mass of the lighter star is one-third the mass of the Sun. The distance between the two stars is `r` and the distance of the earth from the Sun is `R`, find the relation between `r` and `R`.

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