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In a certain binary-star system, each st...

In a certain binary-star system, each star has the same mass as our Sun, and they revolve about their center of mass. The distance between them is the same as the distance between Earth and the Sun. What is their period of revolution in years ?

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To find the period of revolution of the binary star system, we can use Kepler's Third Law of planetary motion, which states that the square of the period of revolution (T) of a planet is directly proportional to the cube of the semi-major axis of its orbit (R). In this case, we will apply this law to a binary star system. ### Step-by-Step Solution: 1. **Identify the Given Data:** - Mass of each star (M) = Mass of the Sun = \( M_{\odot} \) - Distance between the two stars (r) = Distance between Earth and Sun = \( R_{\odot} \) ...
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