In the box showing how to use Equation 21.2, it is claimed that if the sum of the masses of two stars is 1.96 solar mass and the ratio of the masses of the two stars is 1.23, then the masses of the two stars are 1.08 and 0.88 solar mass. Show that this is true.

2

The two stars in a binary system are separated by a distance of 1 AU and have a period of 1 year. What is the sum of the masses of the two stars?

3

What is the orbital period of a binary system in which the semimajor axis is 5 AU and each of the stars has a mass of 2 solar mass?

4

What is the orbital period of Proxima Centauri and ? Centauri about each other if the ? Centauri binary system has a total mass of 1.96 solar mass, Proxima Centauri has a mass of 0.3 solar mass, and the semimajor axis is 12,000 AU?

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